TSTP Solution File: HWV043-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV043-1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Sep 17 02:12:03 EDT 2022
% Result : Unsatisfiable 72.17s 45.00s
% Output : Proof 75.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HWV043-1 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 31 22:30:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 72.17/45.00 % SZS status Unsatisfiable
% 72.17/45.00 % SZS output start Proof
% 72.17/45.00 tff(v215_type, type, (
% 72.17/45.00 v215: $i > $o)).
% 72.17/45.00 tff(constB123_type, type, (
% 72.17/45.00 constB123: $i)).
% 72.17/45.00 tff(sK0_VarCurr_type, type, (
% 72.17/45.00 sK0_VarCurr: $i)).
% 72.17/45.00 tff(constB35_type, type, (
% 72.17/45.00 constB35: $i)).
% 72.17/45.00 tff(v211_type, type, (
% 72.17/45.00 v211: $i > $o)).
% 72.17/45.00 tff(v209_type, type, (
% 72.17/45.00 v209: $i > $o)).
% 72.17/45.00 tff(v254_type, type, (
% 72.17/45.00 v254: $i > $o)).
% 72.17/45.00 tff(v216_type, type, (
% 72.17/45.00 v216: ( $i * $i ) > $o)).
% 72.17/45.00 tff(bitIndex1_type, type, (
% 72.17/45.00 bitIndex1: $i)).
% 72.17/45.00 tff(v244_type, type, (
% 72.17/45.00 v244: $i > $o)).
% 72.17/45.00 tff(v248_type, type, (
% 72.17/45.00 v248: $i > $o)).
% 72.17/45.00 tff(v232_type, type, (
% 72.17/45.00 v232: $i > $o)).
% 72.17/45.00 tff(v236_type, type, (
% 72.17/45.00 v236: $i > $o)).
% 72.17/45.00 tff(v222_type, type, (
% 72.17/45.00 v222: $i > $o)).
% 72.17/45.00 tff(v223_type, type, (
% 72.17/45.00 v223: ( $i * $i ) > $o)).
% 72.17/45.00 tff(v228_type, type, (
% 72.17/45.00 v228: $i > $o)).
% 72.17/45.00 tff(v183_type, type, (
% 72.17/45.00 v183: $i > $o)).
% 72.17/45.00 tff(v199_type, type, (
% 72.17/45.00 v199: $i > $o)).
% 72.17/45.00 tff(v200_type, type, (
% 72.17/45.00 v200: $i > $o)).
% 72.17/45.00 tff(v140_type, type, (
% 72.17/45.00 v140: $i > $o)).
% 72.17/45.00 tff(v88_type, type, (
% 72.17/45.00 v88: ( $i * $i ) > $o)).
% 72.17/45.00 tff(bitIndex2_type, type, (
% 72.17/45.00 bitIndex2: $i)).
% 72.17/45.00 tff(v90_type, type, (
% 72.17/45.00 v90: ( $i * $i ) > $o)).
% 72.17/45.00 tff(constB34_type, type, (
% 72.17/45.00 constB34: $i)).
% 72.17/45.00 tff(v100_type, type, (
% 72.17/45.00 v100: $i > $o)).
% 72.17/45.00 tff(v110_type, type, (
% 72.17/45.00 v110: $i > $o)).
% 72.17/45.00 tff(v108_type, type, (
% 72.17/45.00 v108: $i > $o)).
% 72.17/45.00 tff(constB33_type, type, (
% 72.17/45.00 constB33: $i)).
% 72.17/45.00 tff(v112_type, type, (
% 72.17/45.00 v112: $i > $o)).
% 72.17/45.00 tff(v113_type, type, (
% 72.17/45.00 v113: $i > $o)).
% 72.17/45.00 tff(v114_type, type, (
% 72.17/45.00 v114: $i > $o)).
% 72.17/45.00 tff(v115_type, type, (
% 72.17/45.00 v115: $i > $o)).
% 72.17/45.00 tff(v123_type, type, (
% 72.17/45.00 v123: $i > $o)).
% 72.17/45.00 tff(constB32_type, type, (
% 72.17/45.00 constB32: $i)).
% 72.17/45.00 tff(constB31_type, type, (
% 72.17/45.00 constB31: $i)).
% 72.17/45.00 tff(v116_type, type, (
% 72.17/45.00 v116: $i > $o)).
% 72.17/45.00 tff(v122_type, type, (
% 72.17/45.00 v122: $i > $o)).
% 72.17/45.00 tff(constB30_type, type, (
% 72.17/45.00 constB30: $i)).
% 72.17/45.00 tff(constB29_type, type, (
% 72.17/45.00 constB29: $i)).
% 72.17/45.00 tff(constB28_type, type, (
% 72.17/45.00 constB28: $i)).
% 72.17/45.00 tff(constB27_type, type, (
% 72.17/45.00 constB27: $i)).
% 72.17/45.00 tff(v117_type, type, (
% 72.17/45.00 v117: $i > $o)).
% 72.17/45.00 tff(v118_type, type, (
% 72.17/45.00 v118: $i > $o)).
% 72.17/45.00 tff(v120_type, type, (
% 72.17/45.00 v120: $i > $o)).
% 72.17/45.00 tff(constB26_type, type, (
% 72.17/45.01 constB26: $i)).
% 72.17/45.01 tff(v129_type, type, (
% 72.17/45.01 v129: ( $i * $i ) > $o)).
% 72.17/45.01 tff(v127_type, type, (
% 72.17/45.01 v127: ( $i * $i ) > $o)).
% 72.17/45.01 tff(constB25_type, type, (
% 72.17/45.01 constB25: $i)).
% 72.17/45.01 tff(v130_type, type, (
% 72.17/45.01 v130: ( $i * $i ) > $o)).
% 72.17/45.01 tff(v119_type, type, (
% 72.17/45.01 v119: $i > $o)).
% 72.17/45.01 tff(constB24_type, type, (
% 72.17/45.01 constB24: $i)).
% 72.17/45.01 tff(constB23_type, type, (
% 72.17/45.01 constB23: $i)).
% 72.17/45.01 tff(v124_type, type, (
% 72.17/45.01 v124: $i > $o)).
% 72.17/45.01 tff(constB22_type, type, (
% 72.17/45.01 constB22: $i)).
% 72.17/45.01 tff(constB21_type, type, (
% 72.17/45.01 constB21: $i)).
% 72.17/45.01 tff(constB20_type, type, (
% 72.17/45.01 constB20: $i)).
% 72.17/45.01 tff(constB19_type, type, (
% 72.17/45.01 constB19: $i)).
% 72.17/45.01 tff(constB18_type, type, (
% 72.17/45.01 constB18: $i)).
% 72.17/45.01 tff(constB17_type, type, (
% 72.17/45.01 constB17: $i)).
% 72.17/45.01 tff(v121_type, type, (
% 72.17/45.01 v121: $i > $o)).
% 72.17/45.01 tff(constB16_type, type, (
% 72.17/45.01 constB16: $i)).
% 72.17/45.01 tff(constB15_type, type, (
% 72.17/45.01 constB15: $i)).
% 72.17/45.01 tff(constB14_type, type, (
% 72.17/45.01 constB14: $i)).
% 72.17/45.01 tff(constB13_type, type, (
% 72.17/45.01 constB13: $i)).
% 72.17/45.01 tff(constB12_type, type, (
% 72.17/45.01 constB12: $i)).
% 72.17/45.01 tff(constB11_type, type, (
% 72.17/45.01 constB11: $i)).
% 72.17/45.01 tff(constB10_type, type, (
% 72.17/45.01 constB10: $i)).
% 72.17/45.01 tff(constB9_type, type, (
% 72.17/45.01 constB9: $i)).
% 72.17/45.01 tff(constB8_type, type, (
% 72.17/45.01 constB8: $i)).
% 72.17/45.01 tff(constB7_type, type, (
% 72.17/45.01 constB7: $i)).
% 72.17/45.01 tff(constB6_type, type, (
% 72.17/45.01 constB6: $i)).
% 72.17/45.01 tff(constB5_type, type, (
% 72.17/45.01 constB5: $i)).
% 72.17/45.01 tff(constB4_type, type, (
% 72.17/45.01 constB4: $i)).
% 72.17/45.01 tff(constB3_type, type, (
% 72.17/45.01 constB3: $i)).
% 72.17/45.01 tff(bitIndex0_type, type, (
% 72.17/45.01 bitIndex0: $i)).
% 72.17/45.01 tff(constB2_type, type, (
% 72.17/45.01 constB2: $i)).
% 72.17/45.01 tff(constB1_type, type, (
% 72.17/45.01 constB1: $i)).
% 72.17/45.01 tff(v26_type, type, (
% 72.17/45.01 v26: $i > $o)).
% 72.17/45.01 tff(v101_type, type, (
% 72.17/45.01 v101: $i > $o)).
% 72.17/45.01 tff(v1_type, type, (
% 72.17/45.01 v1: $i > $o)).
% 72.17/45.01 tff(nextState_type, type, (
% 72.17/45.01 nextState: ( $i * $i ) > $o)).
% 72.17/45.01 tff(constB0_type, type, (
% 72.17/45.01 constB0: $i)).
% 72.17/45.01 tff(v102_type, type, (
% 72.17/45.01 v102: $i > $o)).
% 72.17/45.01 tff(v104_type, type, (
% 72.17/45.01 v104: $i > $o)).
% 72.17/45.01 tff(v125_type, type, (
% 72.17/45.01 v125: $i > $o)).
% 72.17/45.01 tff(v139_type, type, (
% 72.17/45.01 v139: $i > $o)).
% 72.17/45.01 tff(v141_type, type, (
% 72.17/45.01 v141: $i > $o)).
% 72.17/45.01 tff(v142_type, type, (
% 72.17/45.01 v142: $i > $o)).
% 72.17/45.01 tff(v143_type, type, (
% 72.17/45.01 v143: $i > $o)).
% 72.17/45.01 tff(v144_type, type, (
% 72.17/45.01 v144: $i > $o)).
% 72.17/45.01 tff(v197_type, type, (
% 72.17/45.01 v197: $i > $o)).
% 72.17/45.01 tff(v145_type, type, (
% 72.17/45.01 v145: $i > $o)).
% 72.17/45.01 tff(v147_type, type, (
% 72.17/45.01 v147: $i > $o)).
% 72.17/45.01 tff(v224_type, type, (
% 72.17/45.01 v224: $i > $o)).
% 72.17/45.01 tff(v241_type, type, (
% 72.17/45.01 v241: $i > $o)).
% 72.17/45.01 tff(v166_type, type, (
% 72.17/45.01 v166: $i > $o)).
% 72.17/45.01 tff(v237_type, type, (
% 72.17/45.01 v237: $i > $o)).
% 72.17/45.01 tff(bitIndex3_type, type, (
% 72.17/45.01 bitIndex3: $i)).
% 72.17/45.01 tff(v252_type, type, (
% 72.17/45.01 v252: $i > $o)).
% 72.17/45.01 tff(v148_type, type, (
% 72.17/45.01 v148: $i > $o)).
% 72.17/45.01 tff(v255_type, type, (
% 72.17/45.01 v255: $i > $o)).
% 72.17/45.01 tff(v243_type, type, (
% 72.17/45.01 v243: $i > $o)).
% 72.17/45.01 tff(v221_type, type, (
% 72.17/45.01 v221: $i > $o)).
% 72.17/45.01 tff(v231_type, type, (
% 72.17/45.01 v231: $i > $o)).
% 72.17/45.01 tff(constB47_type, type, (
% 72.17/45.01 constB47: $i)).
% 72.17/45.01 tff(constB46_type, type, (
% 72.17/45.01 constB46: $i)).
% 72.17/45.01 tff(constB45_type, type, (
% 72.17/45.01 constB45: $i)).
% 72.17/45.01 tff(constB44_type, type, (
% 72.17/45.01 constB44: $i)).
% 72.17/45.01 tff(constB43_type, type, (
% 72.17/45.01 constB43: $i)).
% 72.17/45.01 tff(constB42_type, type, (
% 72.17/45.01 constB42: $i)).
% 72.17/45.01 tff(constB41_type, type, (
% 72.17/45.01 constB41: $i)).
% 72.17/45.01 tff(constB40_type, type, (
% 72.17/45.01 constB40: $i)).
% 72.17/45.01 tff(constB39_type, type, (
% 72.17/45.01 constB39: $i)).
% 72.17/45.01 tff(constB38_type, type, (
% 72.17/45.01 constB38: $i)).
% 72.17/45.01 tff(constB37_type, type, (
% 72.17/45.01 constB37: $i)).
% 72.17/45.01 tff(constB36_type, type, (
% 72.17/45.01 constB36: $i)).
% 72.17/45.01 tff(constB143_type, type, (
% 72.17/45.01 constB143: $i)).
% 72.17/45.01 tff(constB142_type, type, (
% 72.17/45.01 constB142: $i)).
% 72.17/45.01 tff(constB141_type, type, (
% 72.17/45.01 constB141: $i)).
% 72.17/45.01 tff(constB140_type, type, (
% 72.17/45.01 constB140: $i)).
% 72.17/45.01 tff(constB139_type, type, (
% 72.17/45.01 constB139: $i)).
% 72.17/45.01 tff(constB138_type, type, (
% 72.17/45.01 constB138: $i)).
% 72.17/45.01 tff(constB137_type, type, (
% 72.17/45.01 constB137: $i)).
% 72.17/45.01 tff(constB136_type, type, (
% 72.17/45.01 constB136: $i)).
% 72.17/45.01 tff(constB135_type, type, (
% 72.17/45.01 constB135: $i)).
% 72.17/45.01 tff(constB131_type, type, (
% 72.17/45.01 constB131: $i)).
% 72.17/45.01 tff(constB130_type, type, (
% 72.17/45.01 constB130: $i)).
% 72.17/45.01 tff(constB129_type, type, (
% 72.17/45.01 constB129: $i)).
% 72.17/45.01 tff(constB128_type, type, (
% 72.17/45.01 constB128: $i)).
% 72.17/45.01 tff(constB127_type, type, (
% 72.17/45.01 constB127: $i)).
% 72.17/45.01 tff(constB126_type, type, (
% 72.17/45.01 constB126: $i)).
% 72.17/45.01 tff(constB125_type, type, (
% 72.17/45.01 constB125: $i)).
% 72.17/45.01 tff(constB124_type, type, (
% 72.17/45.01 constB124: $i)).
% 72.17/45.01 tff(constB121_type, type, (
% 72.17/45.01 constB121: $i)).
% 72.17/45.01 tff(constB120_type, type, (
% 72.17/45.01 constB120: $i)).
% 72.17/45.01 tff(constB119_type, type, (
% 72.17/45.01 constB119: $i)).
% 72.17/45.01 tff(constB118_type, type, (
% 72.17/45.01 constB118: $i)).
% 72.17/45.01 tff(constB117_type, type, (
% 72.17/45.01 constB117: $i)).
% 72.17/45.01 tff(constB115_type, type, (
% 72.17/45.01 constB115: $i)).
% 72.17/45.01 tff(constB113_type, type, (
% 72.17/45.01 constB113: $i)).
% 72.17/45.01 tff(constB111_type, type, (
% 72.17/45.01 constB111: $i)).
% 72.17/45.01 tff(constB110_type, type, (
% 72.17/45.01 constB110: $i)).
% 72.17/45.01 tff(constB109_type, type, (
% 72.17/45.01 constB109: $i)).
% 72.17/45.01 tff(constB108_type, type, (
% 72.17/45.01 constB108: $i)).
% 72.17/45.01 tff(constB107_type, type, (
% 72.17/45.01 constB107: $i)).
% 72.17/45.01 tff(constB106_type, type, (
% 72.17/45.01 constB106: $i)).
% 72.17/45.01 tff(constB105_type, type, (
% 72.17/45.01 constB105: $i)).
% 72.17/45.01 tff(constB104_type, type, (
% 72.17/45.01 constB104: $i)).
% 72.17/45.01 tff(constB103_type, type, (
% 72.17/45.01 constB103: $i)).
% 72.17/45.01 tff(constB102_type, type, (
% 72.17/45.01 constB102: $i)).
% 72.17/45.01 tff(constB101_type, type, (
% 72.17/45.01 constB101: $i)).
% 72.17/45.01 tff(constB100_type, type, (
% 72.17/45.01 constB100: $i)).
% 72.17/45.01 tff(constB99_type, type, (
% 72.17/45.01 constB99: $i)).
% 72.17/45.01 tff(constB97_type, type, (
% 72.17/45.01 constB97: $i)).
% 72.17/45.01 tff(constB96_type, type, (
% 72.17/45.01 constB96: $i)).
% 72.17/45.01 tff(constB95_type, type, (
% 72.17/45.01 constB95: $i)).
% 72.17/45.01 tff(constB94_type, type, (
% 72.17/45.01 constB94: $i)).
% 72.17/45.01 tff(constB93_type, type, (
% 72.17/45.01 constB93: $i)).
% 72.17/45.01 tff(constB92_type, type, (
% 72.17/45.01 constB92: $i)).
% 72.17/45.01 tff(constB91_type, type, (
% 72.17/45.01 constB91: $i)).
% 72.17/45.01 tff(constB90_type, type, (
% 72.17/45.01 constB90: $i)).
% 72.17/45.01 tff(constB89_type, type, (
% 72.17/45.01 constB89: $i)).
% 72.17/45.01 tff(constB88_type, type, (
% 72.17/45.01 constB88: $i)).
% 72.17/45.01 tff(constB87_type, type, (
% 72.17/45.01 constB87: $i)).
% 72.17/45.01 tff(constB86_type, type, (
% 72.17/45.01 constB86: $i)).
% 72.17/45.01 tff(constB85_type, type, (
% 72.17/45.01 constB85: $i)).
% 72.17/45.01 tff(constB84_type, type, (
% 72.17/45.01 constB84: $i)).
% 72.17/45.01 tff(constB83_type, type, (
% 72.17/45.01 constB83: $i)).
% 72.17/45.01 tff(constB82_type, type, (
% 72.17/45.01 constB82: $i)).
% 72.17/45.01 tff(constB81_type, type, (
% 72.17/45.01 constB81: $i)).
% 72.17/45.01 tff(constB80_type, type, (
% 72.17/45.01 constB80: $i)).
% 72.17/45.01 tff(constB79_type, type, (
% 72.17/45.01 constB79: $i)).
% 72.17/45.01 tff(constB78_type, type, (
% 72.17/45.01 constB78: $i)).
% 72.17/45.01 tff(constB77_type, type, (
% 72.17/45.01 constB77: $i)).
% 72.17/45.01 tff(constB75_type, type, (
% 72.17/45.01 constB75: $i)).
% 72.17/45.01 tff(constB74_type, type, (
% 72.17/45.01 constB74: $i)).
% 72.17/45.01 tff(constB73_type, type, (
% 72.17/45.01 constB73: $i)).
% 72.17/45.01 tff(constB72_type, type, (
% 72.17/45.01 constB72: $i)).
% 72.17/45.01 tff(constB71_type, type, (
% 72.17/45.01 constB71: $i)).
% 72.17/45.01 tff(constB70_type, type, (
% 72.17/45.01 constB70: $i)).
% 72.17/45.01 tff(constB69_type, type, (
% 72.17/45.01 constB69: $i)).
% 72.17/45.01 tff(constB68_type, type, (
% 72.17/45.01 constB68: $i)).
% 72.17/45.01 tff(constB67_type, type, (
% 72.17/45.01 constB67: $i)).
% 72.17/45.01 tff(constB66_type, type, (
% 72.17/45.01 constB66: $i)).
% 72.17/45.01 tff(constB65_type, type, (
% 72.17/45.01 constB65: $i)).
% 72.17/45.01 tff(constB64_type, type, (
% 72.17/45.01 constB64: $i)).
% 72.17/45.01 tff(constB63_type, type, (
% 72.17/45.01 constB63: $i)).
% 72.17/45.01 tff(constB62_type, type, (
% 72.17/45.01 constB62: $i)).
% 72.17/45.01 tff(constB61_type, type, (
% 72.17/45.01 constB61: $i)).
% 72.17/45.01 tff(constB60_type, type, (
% 72.17/45.01 constB60: $i)).
% 72.17/45.01 tff(constB59_type, type, (
% 72.17/45.01 constB59: $i)).
% 72.17/45.01 tff(constB58_type, type, (
% 72.17/45.01 constB58: $i)).
% 72.17/45.01 tff(constB57_type, type, (
% 72.17/45.01 constB57: $i)).
% 72.17/45.01 tff(constB56_type, type, (
% 72.17/45.01 constB56: $i)).
% 72.17/45.01 tff(constB55_type, type, (
% 72.17/45.01 constB55: $i)).
% 72.17/45.01 tff(constB54_type, type, (
% 72.17/45.01 constB54: $i)).
% 72.17/45.01 tff(constB53_type, type, (
% 72.17/45.01 constB53: $i)).
% 72.17/45.01 tff(constB52_type, type, (
% 72.17/45.01 constB52: $i)).
% 72.17/45.01 tff(constB51_type, type, (
% 72.17/45.01 constB51: $i)).
% 72.17/45.01 tff(constB50_type, type, (
% 72.17/45.01 constB50: $i)).
% 72.17/45.01 tff(constB49_type, type, (
% 72.17/45.01 constB49: $i)).
% 72.17/45.01 tff(constB48_type, type, (
% 72.17/45.01 constB48: $i)).
% 72.17/45.01 tff(constB76_type, type, (
% 72.17/45.01 constB76: $i)).
% 72.17/45.01 tff(v60_type, type, (
% 72.17/45.01 v60: $i > $o)).
% 72.17/45.01 tff(v66_type, type, (
% 72.17/45.01 v66: $i > $o)).
% 72.17/45.01 tff(v64_type, type, (
% 72.17/45.01 v64: $i > $o)).
% 72.17/45.01 tff(v9_type, type, (
% 72.17/45.01 v9: $i > $o)).
% 72.17/45.01 tff(v13_type, type, (
% 72.17/45.01 v13: $i > $o)).
% 72.17/45.01 tff(v19_type, type, (
% 72.17/45.01 v19: $i > $o)).
% 72.17/45.01 tff(v18_type, type, (
% 72.17/45.01 v18: $i > $o)).
% 72.17/45.01 tff(v22_type, type, (
% 72.17/45.01 v22: $i > $o)).
% 72.17/45.01 tff(v74_type, type, (
% 72.17/45.01 v74: $i > $o)).
% 72.17/45.01 tff(v72_type, type, (
% 72.17/45.01 v72: $i > $o)).
% 72.17/45.01 tff(v71_type, type, (
% 72.17/45.01 v71: $i > $o)).
% 72.17/45.01 tff(v76_type, type, (
% 72.17/45.01 v76: $i > $o)).
% 72.17/45.01 tff(v80_type, type, (
% 72.17/45.01 v80: $i > $o)).
% 72.17/45.01 tff(v78_type, type, (
% 72.17/45.01 v78: $i > $o)).
% 72.17/45.01 tff(constB98_type, type, (
% 72.17/45.01 constB98: $i)).
% 72.17/45.01 tff(constB112_type, type, (
% 72.17/45.01 constB112: $i)).
% 72.17/45.01 tff(constB114_type, type, (
% 72.17/45.01 constB114: $i)).
% 72.17/45.01 tff(constB116_type, type, (
% 72.17/45.01 constB116: $i)).
% 72.17/45.01 tff(constB122_type, type, (
% 72.17/45.01 constB122: $i)).
% 72.17/45.01 tff(constB134_type, type, (
% 72.17/45.01 constB134: $i)).
% 72.17/45.01 tff(constB133_type, type, (
% 72.17/45.01 constB133: $i)).
% 72.17/45.01 tff(constB132_type, type, (
% 72.17/45.01 constB132: $i)).
% 72.17/45.01 tff(v225_type, type, (
% 72.17/45.01 v225: $i > $o)).
% 72.17/45.01 tff(v229_type, type, (
% 72.17/45.01 v229: $i > $o)).
% 72.17/45.01 tff(v227_type, type, (
% 72.17/45.01 v227: $i > $o)).
% 72.17/45.01 tff(v201_type, type, (
% 72.17/45.01 v201: $i > $o)).
% 72.17/45.01 tff(v198_type, type, (
% 72.17/45.01 v198: $i > $o)).
% 72.17/45.01 tff(constB195_type, type, (
% 72.17/45.01 constB195: $i)).
% 72.17/45.01 tff(v238_type, type, (
% 72.17/45.01 v238: $i > $o)).
% 72.17/45.01 tff(v242_type, type, (
% 72.17/45.01 v242: $i > $o)).
% 72.17/45.01 tff(constB194_type, type, (
% 72.17/45.01 constB194: $i)).
% 72.17/45.01 tff(constB193_type, type, (
% 72.17/45.01 constB193: $i)).
% 72.17/45.01 tff(constB192_type, type, (
% 72.17/45.01 constB192: $i)).
% 72.17/45.01 tff(constB191_type, type, (
% 72.17/45.01 constB191: $i)).
% 72.17/45.01 tff(constB190_type, type, (
% 72.17/45.01 constB190: $i)).
% 72.17/45.01 tff(constB189_type, type, (
% 72.17/45.01 constB189: $i)).
% 72.17/45.01 tff(constB188_type, type, (
% 72.17/45.01 constB188: $i)).
% 72.17/45.01 tff(constB187_type, type, (
% 72.17/45.01 constB187: $i)).
% 72.17/45.01 tff(constB186_type, type, (
% 72.17/45.01 constB186: $i)).
% 72.17/45.01 tff(constB185_type, type, (
% 72.17/45.01 constB185: $i)).
% 72.17/45.01 tff(constB184_type, type, (
% 72.17/45.01 constB184: $i)).
% 72.17/45.01 tff(constB183_type, type, (
% 72.17/45.01 constB183: $i)).
% 72.17/45.01 tff(constB182_type, type, (
% 72.17/45.01 constB182: $i)).
% 72.17/45.01 tff(constB181_type, type, (
% 72.17/45.01 constB181: $i)).
% 72.17/45.01 tff(constB180_type, type, (
% 72.17/45.01 constB180: $i)).
% 72.17/45.01 tff(constB179_type, type, (
% 72.17/45.01 constB179: $i)).
% 72.17/45.01 tff(constB178_type, type, (
% 72.17/45.01 constB178: $i)).
% 72.17/45.01 tff(constB177_type, type, (
% 72.17/45.01 constB177: $i)).
% 72.17/45.01 tff(constB176_type, type, (
% 72.17/45.01 constB176: $i)).
% 72.17/45.01 tff(constB175_type, type, (
% 72.17/45.01 constB175: $i)).
% 72.17/45.01 tff(constB174_type, type, (
% 72.17/45.01 constB174: $i)).
% 72.17/45.01 tff(constB171_type, type, (
% 72.17/45.01 constB171: $i)).
% 72.17/45.01 tff(constB170_type, type, (
% 72.17/45.01 constB170: $i)).
% 72.17/45.01 tff(constB169_type, type, (
% 72.17/45.01 constB169: $i)).
% 72.17/45.01 tff(constB168_type, type, (
% 72.17/45.01 constB168: $i)).
% 72.17/45.01 tff(constB167_type, type, (
% 72.17/45.01 constB167: $i)).
% 72.17/45.01 tff(constB166_type, type, (
% 72.17/45.01 constB166: $i)).
% 72.17/45.01 tff(constB165_type, type, (
% 72.17/45.01 constB165: $i)).
% 72.17/45.01 tff(constB164_type, type, (
% 72.17/45.01 constB164: $i)).
% 72.17/45.01 tff(constB163_type, type, (
% 72.17/45.01 constB163: $i)).
% 72.17/45.01 tff(constB162_type, type, (
% 72.17/45.01 constB162: $i)).
% 72.17/45.01 tff(constB161_type, type, (
% 72.17/45.01 constB161: $i)).
% 72.17/45.01 tff(constB160_type, type, (
% 72.17/45.01 constB160: $i)).
% 72.17/45.01 tff(constB159_type, type, (
% 72.17/45.01 constB159: $i)).
% 72.17/45.01 tff(constB155_type, type, (
% 72.17/45.01 constB155: $i)).
% 72.17/45.01 tff(constB154_type, type, (
% 72.17/45.01 constB154: $i)).
% 72.17/45.01 tff(constB153_type, type, (
% 72.17/45.01 constB153: $i)).
% 72.17/45.01 tff(constB152_type, type, (
% 72.17/45.01 constB152: $i)).
% 72.17/45.01 tff(constB151_type, type, (
% 72.17/45.01 constB151: $i)).
% 72.17/45.01 tff(constB150_type, type, (
% 72.17/45.01 constB150: $i)).
% 72.17/45.01 tff(constB149_type, type, (
% 72.17/45.01 constB149: $i)).
% 72.17/45.01 tff(constB148_type, type, (
% 72.17/45.01 constB148: $i)).
% 72.17/45.01 tff(constB147_type, type, (
% 72.17/45.01 constB147: $i)).
% 72.17/45.01 tff(constB146_type, type, (
% 72.17/45.01 constB146: $i)).
% 72.17/45.01 tff(constB145_type, type, (
% 72.17/45.01 constB145: $i)).
% 72.17/45.01 tff(constB144_type, type, (
% 72.17/45.01 constB144: $i)).
% 72.17/45.01 tff(constB158_type, type, (
% 72.17/45.01 constB158: $i)).
% 72.17/45.01 tff(constB157_type, type, (
% 72.17/45.01 constB157: $i)).
% 72.17/45.01 tff(constB156_type, type, (
% 72.17/45.01 constB156: $i)).
% 72.17/45.01 tff(constB173_type, type, (
% 72.17/45.01 constB173: $i)).
% 72.17/45.01 tff(constB172_type, type, (
% 72.17/45.01 constB172: $i)).
% 72.17/45.01 tff(v146_type, type, (
% 72.17/45.01 v146: $i > $o)).
% 72.17/45.01 tff(constB199_type, type, (
% 72.17/45.01 constB199: $i)).
% 72.17/45.01 tff(constB197_type, type, (
% 72.17/45.01 constB197: $i)).
% 72.17/45.01 tff(constB196_type, type, (
% 72.17/45.01 constB196: $i)).
% 72.17/45.01 tff(constB198_type, type, (
% 72.17/45.01 constB198: $i)).
% 72.17/45.01 tff(v256_type, type, (
% 72.17/45.01 v256: $i > $o)).
% 72.17/45.01 tff(constB200_type, type, (
% 72.17/45.01 constB200: $i)).
% 72.17/45.01 tff(reachableState_type, type, (
% 72.17/45.01 reachableState: $i > $o)).
% 72.17/45.01 tff(1,assumption,(constB35 = sK0_VarCurr), introduced(assumption)).
% 72.17/45.01 tff(2,plain,
% 72.17/45.01 (v215(constB35) <=> v215(sK0_VarCurr)),
% 72.17/45.01 inference(monotonicity,[status(thm)],[1])).
% 72.17/45.01 tff(3,plain,
% 72.17/45.01 (v215(sK0_VarCurr) <=> v215(constB35)),
% 72.17/45.01 inference(symmetry,[status(thm)],[2])).
% 72.17/45.01 tff(4,plain,
% 72.17/45.01 (v209(sK0_VarCurr) <=> v209(sK0_VarCurr)),
% 72.17/45.01 inference(rewrite,[status(thm)],[])).
% 72.17/45.01 tff(5,axiom,(v209(sK0_VarCurr)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssertion_1_1_1')).
% 72.17/45.01 tff(6,plain,
% 72.17/45.01 (v209(sK0_VarCurr)),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[5, 4])).
% 72.17/45.01 tff(7,plain,
% 72.17/45.01 (^[VarCurr: $i] : refl((v211(VarCurr) | (~v209(VarCurr))) <=> (v211(VarCurr) | (~v209(VarCurr))))),
% 72.17/45.01 inference(bind,[status(th)],[])).
% 72.17/45.01 tff(8,plain,
% 72.17/45.01 (![VarCurr: $i] : (v211(VarCurr) | (~v209(VarCurr))) <=> ![VarCurr: $i] : (v211(VarCurr) | (~v209(VarCurr)))),
% 72.17/45.01 inference(quant_intro,[status(thm)],[7])).
% 72.17/45.01 tff(9,plain,
% 72.17/45.01 (![VarCurr: $i] : (v211(VarCurr) | (~v209(VarCurr))) <=> ![VarCurr: $i] : (v211(VarCurr) | (~v209(VarCurr)))),
% 72.17/45.01 inference(rewrite,[status(thm)],[])).
% 72.17/45.01 tff(10,axiom,(![VarCurr: $i] : (v211(VarCurr) | (~v209(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_81_1_1_1_1')).
% 72.17/45.01 tff(11,plain,
% 72.17/45.01 (![VarCurr: $i] : (v211(VarCurr) | (~v209(VarCurr)))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[10, 9])).
% 72.17/45.01 tff(12,plain,(
% 72.17/45.01 ![VarCurr: $i] : (v211(VarCurr) | (~v209(VarCurr)))),
% 72.17/45.01 inference(skolemize,[status(sab)],[11])).
% 72.17/45.01 tff(13,plain,
% 72.17/45.01 (![VarCurr: $i] : (v211(VarCurr) | (~v209(VarCurr)))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[12, 8])).
% 72.17/45.01 tff(14,plain,
% 72.17/45.01 (((~![VarCurr: $i] : (v211(VarCurr) | (~v209(VarCurr)))) | (v211(sK0_VarCurr) | (~v209(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v211(VarCurr) | (~v209(VarCurr)))) | v211(sK0_VarCurr) | (~v209(sK0_VarCurr)))),
% 72.17/45.01 inference(rewrite,[status(thm)],[])).
% 72.17/45.01 tff(15,plain,
% 72.17/45.01 ((~![VarCurr: $i] : (v211(VarCurr) | (~v209(VarCurr)))) | (v211(sK0_VarCurr) | (~v209(sK0_VarCurr)))),
% 72.17/45.01 inference(quant_inst,[status(thm)],[])).
% 72.17/45.01 tff(16,plain,
% 72.17/45.01 ((~![VarCurr: $i] : (v211(VarCurr) | (~v209(VarCurr)))) | v211(sK0_VarCurr) | (~v209(sK0_VarCurr))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[15, 14])).
% 72.17/45.01 tff(17,plain,
% 72.17/45.01 (v211(sK0_VarCurr)),
% 72.17/45.01 inference(unit_resolution,[status(thm)],[16, 13, 6])).
% 72.17/45.01 tff(18,plain,
% 72.17/45.01 (^[VarCurr: $i] : refl((v215(VarCurr) | (~v211(VarCurr))) <=> (v215(VarCurr) | (~v211(VarCurr))))),
% 72.17/45.01 inference(bind,[status(th)],[])).
% 72.17/45.01 tff(19,plain,
% 72.17/45.01 (![VarCurr: $i] : (v215(VarCurr) | (~v211(VarCurr))) <=> ![VarCurr: $i] : (v215(VarCurr) | (~v211(VarCurr)))),
% 72.17/45.01 inference(quant_intro,[status(thm)],[18])).
% 72.17/45.01 tff(20,plain,
% 72.17/45.01 (![VarCurr: $i] : (v215(VarCurr) | (~v211(VarCurr))) <=> ![VarCurr: $i] : (v215(VarCurr) | (~v211(VarCurr)))),
% 72.17/45.01 inference(rewrite,[status(thm)],[])).
% 72.17/45.01 tff(21,axiom,(![VarCurr: $i] : (v215(VarCurr) | (~v211(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_80_1_1_1_2')).
% 72.17/45.01 tff(22,plain,
% 72.17/45.01 (![VarCurr: $i] : (v215(VarCurr) | (~v211(VarCurr)))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[21, 20])).
% 72.17/45.01 tff(23,plain,(
% 72.17/45.01 ![VarCurr: $i] : (v215(VarCurr) | (~v211(VarCurr)))),
% 72.17/45.01 inference(skolemize,[status(sab)],[22])).
% 72.17/45.01 tff(24,plain,
% 72.17/45.01 (![VarCurr: $i] : (v215(VarCurr) | (~v211(VarCurr)))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[23, 19])).
% 72.17/45.01 tff(25,plain,
% 72.17/45.01 (((~![VarCurr: $i] : (v215(VarCurr) | (~v211(VarCurr)))) | (v215(sK0_VarCurr) | (~v211(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v215(VarCurr) | (~v211(VarCurr)))) | v215(sK0_VarCurr) | (~v211(sK0_VarCurr)))),
% 72.17/45.01 inference(rewrite,[status(thm)],[])).
% 72.17/45.01 tff(26,plain,
% 72.17/45.01 ((~![VarCurr: $i] : (v215(VarCurr) | (~v211(VarCurr)))) | (v215(sK0_VarCurr) | (~v211(sK0_VarCurr)))),
% 72.17/45.01 inference(quant_inst,[status(thm)],[])).
% 72.17/45.01 tff(27,plain,
% 72.17/45.01 ((~![VarCurr: $i] : (v215(VarCurr) | (~v211(VarCurr)))) | v215(sK0_VarCurr) | (~v211(sK0_VarCurr))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[26, 25])).
% 72.17/45.01 tff(28,plain,
% 72.17/45.01 (v215(sK0_VarCurr)),
% 72.17/45.01 inference(unit_resolution,[status(thm)],[27, 24, 17])).
% 72.17/45.01 tff(29,plain,
% 72.17/45.01 (v215(constB35)),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[28, 3])).
% 72.17/45.01 tff(30,assumption,(v26(constB1)), introduced(assumption)).
% 72.17/45.01 tff(31,plain,
% 72.17/45.01 (^[VarCurr: $i] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 72.17/45.01 inference(bind,[status(th)],[])).
% 72.17/45.01 tff(32,plain,
% 72.17/45.01 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 72.17/45.01 inference(quant_intro,[status(thm)],[31])).
% 72.17/45.01 tff(33,plain,
% 72.17/45.01 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 72.17/45.01 inference(rewrite,[status(thm)],[])).
% 72.17/45.01 tff(34,axiom,(![VarCurr: $i] : (~v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_1_1_1')).
% 72.17/45.01 tff(35,plain,
% 72.17/45.01 (![VarCurr: $i] : (~v26(VarCurr))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[34, 33])).
% 72.17/45.01 tff(36,plain,(
% 72.17/45.01 ![VarCurr: $i] : (~v26(VarCurr))),
% 72.17/45.01 inference(skolemize,[status(sab)],[35])).
% 72.17/45.01 tff(37,plain,
% 72.17/45.01 (![VarCurr: $i] : (~v26(VarCurr))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[36, 32])).
% 72.17/45.01 tff(38,plain,
% 72.17/45.01 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB1))),
% 72.17/45.01 inference(quant_inst,[status(thm)],[])).
% 72.17/45.01 tff(39,plain,
% 72.17/45.01 ($false),
% 72.17/45.01 inference(unit_resolution,[status(thm)],[38, 37, 30])).
% 72.17/45.01 tff(40,plain,(~v26(constB1)), inference(lemma,lemma(discharge,[]))).
% 72.17/45.01 tff(41,plain,
% 72.17/45.01 ((~v1(constB1)) <=> (~v1(constB1))),
% 72.17/45.01 inference(rewrite,[status(thm)],[])).
% 72.17/45.01 tff(42,axiom,(~v1(constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_1_1_1')).
% 72.17/45.01 tff(43,plain,
% 72.17/45.01 (~v1(constB1)),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[42, 41])).
% 72.17/45.01 tff(44,plain,
% 72.17/45.01 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 72.17/45.01 inference(rewrite,[status(thm)],[])).
% 72.17/45.01 tff(45,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_200')).
% 72.17/45.01 tff(46,plain,
% 72.17/45.01 (nextState(constB0, constB1)),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[45, 44])).
% 72.17/45.01 tff(47,plain,
% 72.17/45.01 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)))),
% 72.17/45.01 inference(bind,[status(th)],[])).
% 72.17/45.01 tff(48,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 72.17/45.01 inference(quant_intro,[status(thm)],[47])).
% 72.17/45.01 tff(49,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 72.17/45.01 inference(rewrite,[status(thm)],[])).
% 72.17/45.01 tff(50,plain,
% 72.17/45.01 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarNext) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)))),
% 72.17/45.01 inference(bind,[status(th)],[])).
% 72.17/45.01 tff(51,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 72.17/45.01 inference(quant_intro,[status(thm)],[50])).
% 72.17/45.01 tff(52,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_2')).
% 72.17/45.01 tff(53,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[52, 51])).
% 72.17/45.01 tff(54,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[53, 49])).
% 72.17/45.01 tff(55,plain,(
% 72.17/45.01 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 72.17/45.01 inference(skolemize,[status(sab)],[54])).
% 72.17/45.01 tff(56,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[55, 48])).
% 72.17/45.01 tff(57,plain,
% 72.17/45.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 72.17/45.01 inference(rewrite,[status(thm)],[])).
% 72.17/45.01 tff(58,plain,
% 72.17/45.01 (((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1)) <=> (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 72.17/45.01 inference(rewrite,[status(thm)],[])).
% 72.17/45.01 tff(59,plain,
% 72.17/45.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1))))),
% 72.17/45.01 inference(monotonicity,[status(thm)],[58])).
% 72.17/45.01 tff(60,plain,
% 72.17/45.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 72.17/45.01 inference(transitivity,[status(thm)],[59, 57])).
% 72.17/45.01 tff(61,plain,
% 72.17/45.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))),
% 72.17/45.01 inference(quant_inst,[status(thm)],[])).
% 72.17/45.01 tff(62,plain,
% 72.17/45.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[61, 60])).
% 72.17/45.01 tff(63,plain,
% 72.17/45.01 (~v101(constB1)),
% 72.17/45.01 inference(unit_resolution,[status(thm)],[62, 56, 46, 43])).
% 72.17/45.01 tff(64,plain,
% 72.17/45.01 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))))),
% 72.17/45.01 inference(bind,[status(th)],[])).
% 72.17/45.01 tff(65,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 72.17/45.01 inference(quant_intro,[status(thm)],[64])).
% 72.17/45.01 tff(66,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 72.17/45.01 inference(rewrite,[status(thm)],[])).
% 72.17/45.01 tff(67,plain,
% 72.17/45.01 (^[VarNext: $i, VarCurr: $i] : rewrite(((v101(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))))),
% 72.17/45.01 inference(bind,[status(th)],[])).
% 72.17/45.01 tff(68,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((v101(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 72.17/45.01 inference(quant_intro,[status(thm)],[67])).
% 72.17/45.01 tff(69,axiom,(![VarNext: $i, VarCurr: $i] : ((v101(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_3')).
% 72.17/45.01 tff(70,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[69, 68])).
% 72.17/45.01 tff(71,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[70, 66])).
% 72.17/45.01 tff(72,plain,(
% 72.17/45.01 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 72.17/45.01 inference(skolemize,[status(sab)],[71])).
% 72.17/45.01 tff(73,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[72, 65])).
% 72.17/45.01 tff(74,plain,
% 72.17/45.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))),
% 72.17/45.01 inference(rewrite,[status(thm)],[])).
% 72.17/45.01 tff(75,plain,
% 72.17/45.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))),
% 72.17/45.01 inference(quant_inst,[status(thm)],[])).
% 72.17/45.01 tff(76,plain,
% 72.17/45.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[75, 74])).
% 72.17/45.01 tff(77,plain,
% 72.17/45.01 (v101(constB1) | (~v100(constB1))),
% 72.17/45.01 inference(unit_resolution,[status(thm)],[76, 73, 46])).
% 72.17/45.01 tff(78,plain,
% 72.17/45.01 (~v100(constB1)),
% 72.17/45.01 inference(unit_resolution,[status(thm)],[77, 63])).
% 72.17/45.01 tff(79,plain,
% 72.17/45.01 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))))),
% 72.17/45.01 inference(bind,[status(th)],[])).
% 72.17/45.01 tff(80,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 72.17/45.01 inference(quant_intro,[status(thm)],[79])).
% 72.17/45.01 tff(81,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 72.17/45.01 inference(rewrite,[status(thm)],[])).
% 72.17/45.01 tff(82,plain,
% 72.17/45.01 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) <=> (v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2)))), (((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) <=> ((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)))), rewrite(((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) <=> (v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))), (((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) <=> (v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))))), ((((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))))), rewrite(((v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))), ((((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))))),
% 72.17/45.01 inference(bind,[status(th)],[])).
% 72.17/45.01 tff(83,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 72.17/45.01 inference(quant_intro,[status(thm)],[82])).
% 72.17/45.01 tff(84,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex2) | (~v90(VarNext, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_6')).
% 72.17/45.01 tff(85,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[84, 83])).
% 72.17/45.01 tff(86,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[85, 81])).
% 72.17/45.01 tff(87,plain,(
% 72.17/45.01 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 72.17/45.01 inference(skolemize,[status(sab)],[86])).
% 72.17/45.01 tff(88,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[87, 80])).
% 72.17/45.01 tff(89,plain,
% 72.17/45.01 ((~v90(constB0, bitIndex2)) <=> (~v90(constB0, bitIndex2))),
% 72.17/45.01 inference(rewrite,[status(thm)],[])).
% 72.17/45.01 tff(90,axiom,(~v90(constB0, bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_4_1_1')).
% 72.17/45.01 tff(91,plain,
% 72.17/45.01 (~v90(constB0, bitIndex2)),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[90, 89])).
% 72.17/45.01 tff(92,plain,
% 72.17/45.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 72.17/45.01 inference(rewrite,[status(thm)],[])).
% 72.17/45.01 tff(93,plain,
% 72.17/45.01 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2))) <=> (v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 72.17/45.01 inference(rewrite,[status(thm)],[])).
% 72.17/45.01 tff(94,plain,
% 72.17/45.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2))))),
% 72.17/45.01 inference(monotonicity,[status(thm)],[93])).
% 72.17/45.01 tff(95,plain,
% 72.17/45.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 72.17/45.01 inference(transitivity,[status(thm)],[94, 92])).
% 72.17/45.01 tff(96,plain,
% 72.17/45.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 72.17/45.01 inference(quant_inst,[status(thm)],[])).
% 72.17/45.01 tff(97,plain,
% 72.17/45.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[96, 95])).
% 72.17/45.01 tff(98,plain,
% 72.17/45.01 (v100(constB1) | (~v90(constB1, bitIndex2))),
% 72.17/45.01 inference(unit_resolution,[status(thm)],[97, 91, 88, 46])).
% 72.17/45.01 tff(99,plain,
% 72.17/45.01 (~v90(constB1, bitIndex2)),
% 72.17/45.01 inference(unit_resolution,[status(thm)],[98, 78])).
% 72.17/45.01 tff(100,plain,
% 72.17/45.01 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))))),
% 72.17/45.01 inference(bind,[status(th)],[])).
% 72.17/45.01 tff(101,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 72.17/45.01 inference(quant_intro,[status(thm)],[100])).
% 72.17/45.01 tff(102,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 72.17/45.01 inference(rewrite,[status(thm)],[])).
% 72.17/45.01 tff(103,plain,
% 72.17/45.01 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) <=> (v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1)))), (((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) <=> ((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)))), rewrite(((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) <=> (v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))), (((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) <=> (v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))))), ((((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))))), rewrite(((v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))), ((((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))))),
% 72.17/45.01 inference(bind,[status(th)],[])).
% 72.17/45.01 tff(104,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 72.17/45.01 inference(quant_intro,[status(thm)],[103])).
% 72.17/45.01 tff(105,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex1) | (~v90(VarNext, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_4')).
% 72.17/45.01 tff(106,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[105, 104])).
% 72.17/45.01 tff(107,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[106, 102])).
% 72.17/45.01 tff(108,plain,(
% 72.17/45.01 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 72.17/45.01 inference(skolemize,[status(sab)],[107])).
% 72.17/45.01 tff(109,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[108, 101])).
% 72.17/45.01 tff(110,plain,
% 72.17/45.01 ((~v90(constB0, bitIndex1)) <=> (~v90(constB0, bitIndex1))),
% 72.17/45.01 inference(rewrite,[status(thm)],[])).
% 72.17/45.01 tff(111,axiom,(~v90(constB0, bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_3_1_1')).
% 72.17/45.01 tff(112,plain,
% 72.17/45.01 (~v90(constB0, bitIndex1)),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[111, 110])).
% 72.17/45.01 tff(113,plain,
% 72.17/45.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 72.17/45.01 inference(rewrite,[status(thm)],[])).
% 72.17/45.01 tff(114,plain,
% 72.17/45.01 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1))) <=> (v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 72.17/45.01 inference(rewrite,[status(thm)],[])).
% 72.17/45.01 tff(115,plain,
% 72.17/45.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1))))),
% 72.17/45.01 inference(monotonicity,[status(thm)],[114])).
% 72.17/45.01 tff(116,plain,
% 72.17/45.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 72.17/45.01 inference(transitivity,[status(thm)],[115, 113])).
% 72.17/45.01 tff(117,plain,
% 72.17/45.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 72.17/45.01 inference(quant_inst,[status(thm)],[])).
% 72.17/45.01 tff(118,plain,
% 72.17/45.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[117, 116])).
% 72.17/45.01 tff(119,plain,
% 72.17/45.01 (v100(constB1) | (~v90(constB1, bitIndex1))),
% 72.17/45.01 inference(unit_resolution,[status(thm)],[118, 112, 109, 46])).
% 72.17/45.01 tff(120,plain,
% 72.17/45.01 (~v90(constB1, bitIndex1)),
% 72.17/45.01 inference(unit_resolution,[status(thm)],[119, 78])).
% 72.17/45.01 tff(121,plain,
% 72.17/45.01 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))))),
% 72.17/45.01 inference(bind,[status(th)],[])).
% 72.17/45.01 tff(122,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 72.17/45.01 inference(quant_intro,[status(thm)],[121])).
% 72.17/45.01 tff(123,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 72.17/45.01 inference(rewrite,[status(thm)],[])).
% 72.17/45.01 tff(124,plain,
% 72.17/45.01 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) <=> (v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0)))), (((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) <=> ((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)))), rewrite(((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) <=> (v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))), (((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) <=> (v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))))), ((((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))))), rewrite(((v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))), ((((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))))),
% 72.17/45.01 inference(bind,[status(th)],[])).
% 72.17/45.01 tff(125,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 72.17/45.01 inference(quant_intro,[status(thm)],[124])).
% 72.17/45.01 tff(126,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarCurr, bitIndex0) | (~v90(VarNext, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_2')).
% 72.17/45.01 tff(127,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[126, 125])).
% 72.17/45.01 tff(128,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[127, 123])).
% 72.17/45.01 tff(129,plain,(
% 72.17/45.01 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 72.17/45.01 inference(skolemize,[status(sab)],[128])).
% 72.17/45.01 tff(130,plain,
% 72.17/45.01 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[129, 122])).
% 72.17/45.01 tff(131,plain,
% 72.17/45.01 ((~v90(constB0, bitIndex0)) <=> (~v90(constB0, bitIndex0))),
% 72.17/45.01 inference(rewrite,[status(thm)],[])).
% 72.17/45.01 tff(132,axiom,(~v90(constB0, bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_2_1_1')).
% 72.17/45.01 tff(133,plain,
% 72.17/45.01 (~v90(constB0, bitIndex0)),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[132, 131])).
% 72.17/45.01 tff(134,plain,
% 72.17/45.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 72.17/45.01 inference(rewrite,[status(thm)],[])).
% 72.17/45.01 tff(135,plain,
% 72.17/45.01 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0))) <=> (v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 72.17/45.01 inference(rewrite,[status(thm)],[])).
% 72.17/45.01 tff(136,plain,
% 72.17/45.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0))))),
% 72.17/45.01 inference(monotonicity,[status(thm)],[135])).
% 72.17/45.01 tff(137,plain,
% 72.17/45.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 72.17/45.01 inference(transitivity,[status(thm)],[136, 134])).
% 72.17/45.01 tff(138,plain,
% 72.17/45.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 72.17/45.01 inference(quant_inst,[status(thm)],[])).
% 72.17/45.01 tff(139,plain,
% 72.17/45.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0))),
% 72.17/45.01 inference(modus_ponens,[status(thm)],[138, 137])).
% 72.17/45.01 tff(140,plain,
% 72.17/45.01 (v100(constB1) | (~v90(constB1, bitIndex0))),
% 72.17/45.01 inference(unit_resolution,[status(thm)],[139, 133, 130, 46])).
% 72.17/45.01 tff(141,plain,
% 72.17/45.01 (~v90(constB1, bitIndex0)),
% 72.17/45.01 inference(unit_resolution,[status(thm)],[140, 78])).
% 72.17/45.01 tff(142,plain,
% 72.17/45.01 (^[VarCurr: $i] : refl((v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)))),
% 72.17/45.01 inference(bind,[status(th)],[])).
% 72.17/45.01 tff(143,plain,
% 72.17/45.01 (![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 72.17/45.01 inference(quant_intro,[status(thm)],[142])).
% 72.17/45.01 tff(144,plain,
% 72.17/45.01 (![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 72.17/45.01 inference(rewrite,[status(thm)],[])).
% 72.17/45.01 tff(145,plain,
% 72.17/45.01 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v119(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) <=> (v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))), ((((v119(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0)) <=> ((v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex0)))), rewrite(((v119(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex0)) <=> (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))), ((((v119(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0)) <=> (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(146,plain,
% 72.17/45.02 (![VarCurr: $i] : (((v119(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[145])).
% 72.17/45.02 tff(147,axiom,(![VarCurr: $i] : (((v119(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_1')).
% 72.17/45.02 tff(148,plain,
% 72.17/45.02 (![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[147, 146])).
% 72.17/45.02 tff(149,plain,
% 72.17/45.02 (![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[148, 144])).
% 72.17/45.02 tff(150,plain,(
% 72.17/45.02 ![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 72.17/45.02 inference(skolemize,[status(sab)],[149])).
% 72.17/45.02 tff(151,plain,
% 72.17/45.02 (![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[150, 143])).
% 72.17/45.02 tff(152,plain,
% 72.17/45.02 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB1) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB1) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(153,plain,
% 72.17/45.02 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB1) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))),
% 72.17/45.02 inference(quant_inst,[status(thm)],[])).
% 72.17/45.02 tff(154,plain,
% 72.17/45.02 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB1) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2)),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[153, 152])).
% 72.17/45.02 tff(155,plain,
% 72.17/45.02 (v119(constB1)),
% 72.17/45.02 inference(unit_resolution,[status(thm)],[154, 151, 141, 120, 99])).
% 72.17/45.02 tff(156,plain,
% 72.17/45.02 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ((~v119(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(157,plain,
% 72.17/45.02 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[156])).
% 72.17/45.02 tff(158,plain,
% 72.17/45.02 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(159,plain,
% 72.17/45.02 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex0) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(160,plain,
% 72.17/45.02 (![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[159])).
% 72.17/45.02 tff(161,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_6_1')).
% 72.17/45.02 tff(162,plain,
% 72.17/45.02 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[161, 160])).
% 72.17/45.02 tff(163,plain,
% 72.17/45.02 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[162, 158])).
% 72.17/45.02 tff(164,plain,(
% 72.17/45.02 ![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.17/45.02 inference(skolemize,[status(sab)],[163])).
% 72.17/45.02 tff(165,plain,
% 72.17/45.02 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[164, 157])).
% 72.17/45.02 tff(166,plain,
% 72.17/45.02 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB1)) | v130(constB1, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB1)) | v130(constB1, bitIndex0))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(167,plain,
% 72.17/45.02 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB1)) | v130(constB1, bitIndex0))),
% 72.17/45.02 inference(quant_inst,[status(thm)],[])).
% 72.17/45.02 tff(168,plain,
% 72.17/45.02 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB1)) | v130(constB1, bitIndex0)),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[167, 166])).
% 72.17/45.02 tff(169,plain,
% 72.17/45.02 (v130(constB1, bitIndex0)),
% 72.17/45.02 inference(unit_resolution,[status(thm)],[168, 165, 155])).
% 72.17/45.02 tff(170,plain,
% 72.17/45.02 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(171,plain,
% 72.17/45.02 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[170])).
% 72.17/45.02 tff(172,plain,
% 72.17/45.02 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(173,plain,
% 72.17/45.02 (^[VarCurr: $i] : trans(monotonicity(rewrite((v127(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex0))) <=> ((~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))), (((v127(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex0))) | v26(VarCurr)) <=> (((~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) | v26(VarCurr)))), rewrite((((~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) | v26(VarCurr)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))), (((v127(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex0))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(174,plain,
% 72.17/45.02 (![VarCurr: $i] : ((v127(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex0))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[173])).
% 72.17/45.02 tff(175,axiom,(![VarCurr: $i] : ((v127(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex0))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_1')).
% 72.17/45.02 tff(176,plain,
% 72.17/45.02 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[175, 174])).
% 72.17/45.02 tff(177,plain,
% 72.17/45.02 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[176, 172])).
% 72.17/45.02 tff(178,plain,(
% 72.17/45.02 ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 72.17/45.02 inference(skolemize,[status(sab)],[177])).
% 72.17/45.02 tff(179,plain,
% 72.17/45.02 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[178, 171])).
% 72.17/45.02 tff(180,plain,
% 72.17/45.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB1) | (~v130(constB1, bitIndex0)) | v127(constB1, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB1) | (~v130(constB1, bitIndex0)) | v127(constB1, bitIndex0))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(181,plain,
% 72.17/45.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB1) | (~v130(constB1, bitIndex0)) | v127(constB1, bitIndex0))),
% 72.17/45.02 inference(quant_inst,[status(thm)],[])).
% 72.17/45.02 tff(182,plain,
% 72.17/45.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB1) | (~v130(constB1, bitIndex0)) | v127(constB1, bitIndex0)),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[181, 180])).
% 72.17/45.02 tff(183,plain,
% 72.17/45.02 (v26(constB1) | v127(constB1, bitIndex0)),
% 72.17/45.02 inference(unit_resolution,[status(thm)],[182, 179, 169])).
% 72.17/45.02 tff(184,plain,
% 72.17/45.02 (v127(constB1, bitIndex0)),
% 72.17/45.02 inference(unit_resolution,[status(thm)],[183, 40])).
% 72.17/45.02 tff(185,plain,
% 72.17/45.02 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(186,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_1_1')).
% 72.17/45.02 tff(187,plain,
% 72.17/45.02 (nextState(constB1, constB2)),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[186, 185])).
% 72.17/45.02 tff(188,plain,
% 72.17/45.02 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(189,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[188])).
% 72.17/45.02 tff(190,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(191,plain,
% 72.17/45.02 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v129(VarNext, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> ((~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))), (((v129(VarNext, bitIndex0) | (~v127(VarCurr, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> (((~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))), (((v129(VarNext, bitIndex0) | (~v127(VarCurr, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(192,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex0) | (~v127(VarCurr, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[191])).
% 72.17/45.02 tff(193,axiom,(![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex0) | (~v127(VarCurr, bitIndex0))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_1')).
% 72.17/45.02 tff(194,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[193, 192])).
% 72.17/45.02 tff(195,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[194, 190])).
% 72.17/45.02 tff(196,plain,(
% 72.17/45.02 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 72.17/45.02 inference(skolemize,[status(sab)],[195])).
% 72.17/45.02 tff(197,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[196, 189])).
% 72.17/45.02 tff(198,plain,
% 72.17/45.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB1, constB2)) | (~v127(constB1, bitIndex0)) | v129(constB2, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB1, constB2)) | (~v127(constB1, bitIndex0)) | v129(constB2, bitIndex0))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(199,plain,
% 72.17/45.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB1, constB2)) | (~v127(constB1, bitIndex0)) | v129(constB2, bitIndex0))),
% 72.17/45.02 inference(quant_inst,[status(thm)],[])).
% 72.17/45.02 tff(200,plain,
% 72.17/45.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB1, constB2)) | (~v127(constB1, bitIndex0)) | v129(constB2, bitIndex0)),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[199, 198])).
% 72.17/45.02 tff(201,plain,
% 72.17/45.02 ((~v127(constB1, bitIndex0)) | v129(constB2, bitIndex0)),
% 72.17/45.02 inference(unit_resolution,[status(thm)],[200, 197, 187])).
% 72.17/45.02 tff(202,plain,
% 72.17/45.02 (v129(constB2, bitIndex0)),
% 72.17/45.02 inference(unit_resolution,[status(thm)],[201, 184])).
% 72.17/45.02 tff(203,assumption,(~v108(constB1)), introduced(assumption)).
% 72.17/45.02 tff(204,plain,
% 72.17/45.02 (^[VarCurr: $i] : refl((v108(VarCurr) | (~v112(VarCurr))) <=> (v108(VarCurr) | (~v112(VarCurr))))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(205,plain,
% 72.17/45.02 (![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[204])).
% 72.17/45.02 tff(206,plain,
% 72.17/45.02 (![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(207,axiom,(![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_1')).
% 72.17/45.02 tff(208,plain,
% 72.17/45.02 (![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[207, 206])).
% 72.17/45.02 tff(209,plain,(
% 72.17/45.02 ![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 72.17/45.02 inference(skolemize,[status(sab)],[208])).
% 72.17/45.02 tff(210,plain,
% 72.17/45.02 (![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[209, 205])).
% 72.17/45.02 tff(211,plain,
% 72.17/45.02 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB1) | (~v112(constB1)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB1) | (~v112(constB1)))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(212,plain,
% 72.17/45.02 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB1) | (~v112(constB1)))),
% 72.17/45.02 inference(quant_inst,[status(thm)],[])).
% 72.17/45.02 tff(213,plain,
% 72.17/45.02 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB1) | (~v112(constB1))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[212, 211])).
% 72.17/45.02 tff(214,plain,
% 72.17/45.02 (~v112(constB1)),
% 72.17/45.02 inference(unit_resolution,[status(thm)],[213, 210, 203])).
% 72.17/45.02 tff(215,plain,
% 72.17/45.02 (^[VarCurr: $i] : refl((v108(VarCurr) | (~v26(VarCurr))) <=> (v108(VarCurr) | (~v26(VarCurr))))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(216,plain,
% 72.17/45.02 (![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[215])).
% 72.17/45.02 tff(217,plain,
% 72.17/45.02 (![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(218,axiom,(![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_2')).
% 72.17/45.02 tff(219,plain,
% 72.17/45.02 (![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[218, 217])).
% 72.17/45.02 tff(220,plain,(
% 72.17/45.02 ![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 72.17/45.02 inference(skolemize,[status(sab)],[219])).
% 72.17/45.02 tff(221,plain,
% 72.17/45.02 (![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[220, 216])).
% 72.17/45.02 tff(222,plain,
% 72.17/45.02 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB1) | (~v26(constB1)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB1) | (~v26(constB1)))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(223,plain,
% 72.17/45.02 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB1) | (~v26(constB1)))),
% 72.17/45.02 inference(quant_inst,[status(thm)],[])).
% 72.17/45.02 tff(224,plain,
% 72.17/45.02 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB1) | (~v26(constB1))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[223, 222])).
% 72.17/45.02 tff(225,plain,
% 72.17/45.02 (~v26(constB1)),
% 72.17/45.02 inference(unit_resolution,[status(thm)],[224, 221, 203])).
% 72.17/45.02 tff(226,plain,
% 72.17/45.02 (^[VarCurr: $i] : refl((v118(VarCurr) | (~v119(VarCurr))) <=> (v118(VarCurr) | (~v119(VarCurr))))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(227,plain,
% 72.17/45.02 (![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[226])).
% 72.17/45.02 tff(228,plain,
% 72.17/45.02 (![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(229,axiom,(![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_2')).
% 72.17/45.02 tff(230,plain,
% 72.17/45.02 (![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[229, 228])).
% 72.17/45.02 tff(231,plain,(
% 72.17/45.02 ![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 72.17/45.02 inference(skolemize,[status(sab)],[230])).
% 72.17/45.02 tff(232,plain,
% 72.17/45.02 (![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[231, 227])).
% 72.17/45.02 tff(233,plain,
% 72.17/45.02 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB1) | (~v119(constB1)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB1) | (~v119(constB1)))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(234,plain,
% 72.17/45.02 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB1) | (~v119(constB1)))),
% 72.17/45.02 inference(quant_inst,[status(thm)],[])).
% 72.17/45.02 tff(235,plain,
% 72.17/45.02 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB1) | (~v119(constB1))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[234, 233])).
% 72.17/45.02 tff(236,plain,
% 72.17/45.02 (v118(constB1)),
% 72.17/45.02 inference(unit_resolution,[status(thm)],[235, 232, 155])).
% 72.17/45.02 tff(237,plain,
% 72.17/45.02 (^[VarCurr: $i] : refl((v117(VarCurr) | (~v118(VarCurr))) <=> (v117(VarCurr) | (~v118(VarCurr))))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(238,plain,
% 72.17/45.02 (![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[237])).
% 72.17/45.02 tff(239,plain,
% 72.17/45.02 (![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(240,axiom,(![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_2')).
% 72.17/45.02 tff(241,plain,
% 72.17/45.02 (![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[240, 239])).
% 72.17/45.02 tff(242,plain,(
% 72.17/45.02 ![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 72.17/45.02 inference(skolemize,[status(sab)],[241])).
% 72.17/45.02 tff(243,plain,
% 72.17/45.02 (![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[242, 238])).
% 72.17/45.02 tff(244,plain,
% 72.17/45.02 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB1) | (~v118(constB1)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB1) | (~v118(constB1)))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(245,plain,
% 72.17/45.02 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB1) | (~v118(constB1)))),
% 72.17/45.02 inference(quant_inst,[status(thm)],[])).
% 72.17/45.02 tff(246,plain,
% 72.17/45.02 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB1) | (~v118(constB1))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[245, 244])).
% 72.17/45.02 tff(247,plain,
% 72.17/45.02 (v117(constB1)),
% 72.17/45.02 inference(unit_resolution,[status(thm)],[246, 243, 236])).
% 72.17/45.02 tff(248,plain,
% 72.17/45.02 (^[VarCurr: $i] : refl((v116(VarCurr) | (~v117(VarCurr))) <=> (v116(VarCurr) | (~v117(VarCurr))))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(249,plain,
% 72.17/45.02 (![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[248])).
% 72.17/45.02 tff(250,plain,
% 72.17/45.02 (![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(251,axiom,(![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_2')).
% 72.17/45.02 tff(252,plain,
% 72.17/45.02 (![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[251, 250])).
% 72.17/45.02 tff(253,plain,(
% 72.17/45.02 ![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 72.17/45.02 inference(skolemize,[status(sab)],[252])).
% 72.17/45.02 tff(254,plain,
% 72.17/45.02 (![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[253, 249])).
% 72.17/45.02 tff(255,plain,
% 72.17/45.02 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB1) | (~v117(constB1)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB1) | (~v117(constB1)))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(256,plain,
% 72.17/45.02 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB1) | (~v117(constB1)))),
% 72.17/45.02 inference(quant_inst,[status(thm)],[])).
% 72.17/45.02 tff(257,plain,
% 72.17/45.02 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB1) | (~v117(constB1))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[256, 255])).
% 72.17/45.02 tff(258,plain,
% 72.17/45.02 (v116(constB1)),
% 72.17/45.02 inference(unit_resolution,[status(thm)],[257, 254, 247])).
% 72.17/45.02 tff(259,plain,
% 72.17/45.02 (^[VarCurr: $i] : refl((v115(VarCurr) | (~v116(VarCurr))) <=> (v115(VarCurr) | (~v116(VarCurr))))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(260,plain,
% 72.17/45.02 (![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[259])).
% 72.17/45.02 tff(261,plain,
% 72.17/45.02 (![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(262,axiom,(![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_2')).
% 72.17/45.02 tff(263,plain,
% 72.17/45.02 (![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[262, 261])).
% 72.17/45.02 tff(264,plain,(
% 72.17/45.02 ![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 72.17/45.02 inference(skolemize,[status(sab)],[263])).
% 72.17/45.02 tff(265,plain,
% 72.17/45.02 (![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[264, 260])).
% 72.17/45.02 tff(266,plain,
% 72.17/45.02 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB1) | (~v116(constB1)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB1) | (~v116(constB1)))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(267,plain,
% 72.17/45.02 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB1) | (~v116(constB1)))),
% 72.17/45.02 inference(quant_inst,[status(thm)],[])).
% 72.17/45.02 tff(268,plain,
% 72.17/45.02 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB1) | (~v116(constB1))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[267, 266])).
% 72.17/45.02 tff(269,plain,
% 72.17/45.02 (v115(constB1)),
% 72.17/45.02 inference(unit_resolution,[status(thm)],[268, 265, 258])).
% 72.17/45.02 tff(270,plain,
% 72.17/45.02 (^[VarCurr: $i] : refl((v114(VarCurr) | (~v115(VarCurr))) <=> (v114(VarCurr) | (~v115(VarCurr))))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(271,plain,
% 72.17/45.02 (![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[270])).
% 72.17/45.02 tff(272,plain,
% 72.17/45.02 (![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(273,axiom,(![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_2')).
% 72.17/45.02 tff(274,plain,
% 72.17/45.02 (![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[273, 272])).
% 72.17/45.02 tff(275,plain,(
% 72.17/45.02 ![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 72.17/45.02 inference(skolemize,[status(sab)],[274])).
% 72.17/45.02 tff(276,plain,
% 72.17/45.02 (![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[275, 271])).
% 72.17/45.02 tff(277,plain,
% 72.17/45.02 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB1) | (~v115(constB1)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB1) | (~v115(constB1)))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(278,plain,
% 72.17/45.02 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB1) | (~v115(constB1)))),
% 72.17/45.02 inference(quant_inst,[status(thm)],[])).
% 72.17/45.02 tff(279,plain,
% 72.17/45.02 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB1) | (~v115(constB1))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[278, 277])).
% 72.17/45.02 tff(280,plain,
% 72.17/45.02 (v114(constB1)),
% 72.17/45.02 inference(unit_resolution,[status(thm)],[279, 276, 269])).
% 72.17/45.02 tff(281,plain,
% 72.17/45.02 (^[VarCurr: $i] : refl((v113(VarCurr) | (~v114(VarCurr))) <=> (v113(VarCurr) | (~v114(VarCurr))))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(282,plain,
% 72.17/45.02 (![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[281])).
% 72.17/45.02 tff(283,plain,
% 72.17/45.02 (![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(284,axiom,(![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_2')).
% 72.17/45.02 tff(285,plain,
% 72.17/45.02 (![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[284, 283])).
% 72.17/45.02 tff(286,plain,(
% 72.17/45.02 ![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 72.17/45.02 inference(skolemize,[status(sab)],[285])).
% 72.17/45.02 tff(287,plain,
% 72.17/45.02 (![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[286, 282])).
% 72.17/45.02 tff(288,plain,
% 72.17/45.02 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB1) | (~v114(constB1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB1) | (~v114(constB1)))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(289,plain,
% 72.17/45.02 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB1) | (~v114(constB1)))),
% 72.17/45.02 inference(quant_inst,[status(thm)],[])).
% 72.17/45.02 tff(290,plain,
% 72.17/45.02 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB1) | (~v114(constB1))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[289, 288])).
% 72.17/45.02 tff(291,plain,
% 72.17/45.02 (v113(constB1)),
% 72.17/45.02 inference(unit_resolution,[status(thm)],[290, 287, 280])).
% 72.17/45.02 tff(292,plain,
% 72.17/45.02 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(293,plain,
% 72.17/45.02 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[292])).
% 72.17/45.02 tff(294,plain,
% 72.17/45.02 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(295,plain,
% 72.17/45.02 (^[VarCurr: $i] : rewrite(((v112(VarCurr) | (~v113(VarCurr))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(296,plain,
% 72.17/45.02 (![VarCurr: $i] : ((v112(VarCurr) | (~v113(VarCurr))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[295])).
% 72.17/45.02 tff(297,axiom,(![VarCurr: $i] : ((v112(VarCurr) | (~v113(VarCurr))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_1')).
% 72.17/45.02 tff(298,plain,
% 72.17/45.02 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[297, 296])).
% 72.17/45.02 tff(299,plain,
% 72.17/45.02 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[298, 294])).
% 72.17/45.02 tff(300,plain,(
% 72.17/45.02 ![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 72.17/45.02 inference(skolemize,[status(sab)],[299])).
% 72.17/45.02 tff(301,plain,
% 72.17/45.02 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[300, 293])).
% 72.17/45.02 tff(302,plain,
% 72.17/45.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB1) | (~v113(constB1)) | v112(constB1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB1) | (~v113(constB1)) | v112(constB1))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(303,plain,
% 72.17/45.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB1) | (~v113(constB1)) | v112(constB1))),
% 72.17/45.02 inference(quant_inst,[status(thm)],[])).
% 72.17/45.02 tff(304,plain,
% 72.17/45.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB1) | (~v113(constB1)) | v112(constB1)),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[303, 302])).
% 72.17/45.02 tff(305,plain,
% 72.17/45.02 (v26(constB1) | v112(constB1)),
% 72.17/45.02 inference(unit_resolution,[status(thm)],[304, 301, 291])).
% 72.17/45.02 tff(306,plain,
% 72.17/45.02 ($false),
% 72.17/45.02 inference(unit_resolution,[status(thm)],[305, 225, 214])).
% 72.17/45.02 tff(307,plain,(v108(constB1)), inference(lemma,lemma(discharge,[]))).
% 72.17/45.02 tff(308,plain,
% 72.17/45.02 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(309,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[308])).
% 72.17/45.02 tff(310,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(311,plain,
% 72.17/45.02 (^[VarNext: $i, VarCurr: $i] : rewrite(((v110(VarNext) | (~v108(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(312,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((v110(VarNext) | (~v108(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[311])).
% 72.17/45.02 tff(313,axiom,(![VarNext: $i, VarCurr: $i] : ((v110(VarNext) | (~v108(VarCurr))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_6_1_1')).
% 72.17/45.02 tff(314,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[313, 312])).
% 72.17/45.02 tff(315,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[314, 310])).
% 72.17/45.02 tff(316,plain,(
% 72.17/45.02 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 72.17/45.02 inference(skolemize,[status(sab)],[315])).
% 72.17/45.02 tff(317,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[316, 309])).
% 72.17/45.02 tff(318,plain,
% 72.17/45.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(319,plain,
% 72.17/45.02 (((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2)) <=> ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(320,plain,
% 72.17/45.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1))))),
% 72.17/45.02 inference(monotonicity,[status(thm)],[319])).
% 72.17/45.02 tff(321,plain,
% 72.17/45.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 72.17/45.02 inference(transitivity,[status(thm)],[320, 318])).
% 72.17/45.02 tff(322,plain,
% 72.17/45.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))),
% 72.17/45.02 inference(quant_inst,[status(thm)],[])).
% 72.17/45.02 tff(323,plain,
% 72.17/45.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[322, 321])).
% 72.17/45.02 tff(324,plain,
% 72.17/45.02 (v110(constB2) | (~v108(constB1))),
% 72.17/45.02 inference(unit_resolution,[status(thm)],[323, 317, 187])).
% 72.17/45.02 tff(325,plain,
% 72.17/45.02 (v110(constB2)),
% 72.17/45.02 inference(unit_resolution,[status(thm)],[324, 307])).
% 72.17/45.02 tff(326,plain,
% 72.17/45.02 (^[VarNext: $i, VarCurr: $i] : refl((v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(327,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[326])).
% 72.17/45.02 tff(328,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(329,plain,
% 72.17/45.02 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(330,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((v1(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[329])).
% 72.17/45.02 tff(331,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_5_1_2')).
% 72.17/45.02 tff(332,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[331, 330])).
% 72.17/45.02 tff(333,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[332, 328])).
% 72.17/45.02 tff(334,plain,(
% 72.17/45.02 ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 72.17/45.02 inference(skolemize,[status(sab)],[333])).
% 72.17/45.02 tff(335,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[334, 327])).
% 72.17/45.02 tff(336,plain,
% 72.17/45.02 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(337,plain,
% 72.17/45.02 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))),
% 72.17/45.02 inference(quant_inst,[status(thm)],[])).
% 72.17/45.02 tff(338,plain,
% 72.17/45.02 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[337, 336])).
% 72.17/45.02 tff(339,plain,
% 72.17/45.02 (~v104(constB2)),
% 72.17/45.02 inference(unit_resolution,[status(thm)],[338, 335, 187, 43])).
% 72.17/45.02 tff(340,plain,
% 72.17/45.02 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(341,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[340])).
% 72.17/45.02 tff(342,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(343,plain,
% 72.17/45.02 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v104(VarNext) | v102(VarNext)) <=> (v102(VarNext) | v104(VarNext))), (((v104(VarNext) | v102(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v102(VarNext) | v104(VarNext)) | (~nextState(VarCurr, VarNext))))), rewrite(((v102(VarNext) | v104(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))), (((v104(VarNext) | v102(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(344,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | v102(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[343])).
% 72.17/45.02 tff(345,axiom,(![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | v102(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_12_1_2')).
% 72.17/45.02 tff(346,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[345, 344])).
% 72.17/45.02 tff(347,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[346, 342])).
% 72.17/45.02 tff(348,plain,(
% 72.17/45.02 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 72.17/45.02 inference(skolemize,[status(sab)],[347])).
% 72.17/45.02 tff(349,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[348, 341])).
% 72.17/45.02 tff(350,plain,
% 72.17/45.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(351,plain,
% 72.17/45.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))),
% 72.17/45.02 inference(quant_inst,[status(thm)],[])).
% 72.17/45.02 tff(352,plain,
% 72.17/45.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v102(constB2) | v104(constB2)),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[351, 350])).
% 72.17/45.02 tff(353,plain,
% 72.17/45.02 (v102(constB2) | v104(constB2)),
% 72.17/45.02 inference(unit_resolution,[status(thm)],[352, 349, 187])).
% 72.17/45.02 tff(354,plain,
% 72.17/45.02 (v102(constB2)),
% 72.17/45.02 inference(unit_resolution,[status(thm)],[353, 339])).
% 72.17/45.02 tff(355,plain,
% 72.17/45.02 (v1(constB2) <=> v1(constB2)),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(356,axiom,(v1(constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_2_1')).
% 72.17/45.02 tff(357,plain,
% 72.17/45.02 (v1(constB2)),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[356, 355])).
% 72.17/45.02 tff(358,plain,
% 72.17/45.02 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(359,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[358])).
% 72.17/45.02 tff(360,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(361,plain,
% 72.17/45.02 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite(((v101(VarNext) | (~v1(VarNext))) | (~v102(VarNext))) <=> (v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))), ((((v101(VarNext) | (~v1(VarNext))) | (~v102(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext))))), rewrite(((v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))), ((((v101(VarNext) | (~v1(VarNext))) | (~v102(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(362,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : (((v101(VarNext) | (~v1(VarNext))) | (~v102(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[361])).
% 72.17/45.02 tff(363,axiom,(![VarNext: $i, VarCurr: $i] : (((v101(VarNext) | (~v1(VarNext))) | (~v102(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_1')).
% 72.17/45.02 tff(364,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[363, 362])).
% 72.17/45.02 tff(365,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[364, 360])).
% 72.17/45.02 tff(366,plain,(
% 72.17/45.02 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 72.17/45.02 inference(skolemize,[status(sab)],[365])).
% 72.17/45.02 tff(367,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[366, 359])).
% 72.17/45.02 tff(368,plain,
% 72.17/45.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(369,plain,
% 72.17/45.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))),
% 72.17/45.02 inference(quant_inst,[status(thm)],[])).
% 72.17/45.02 tff(370,plain,
% 72.17/45.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[369, 368])).
% 72.17/45.02 tff(371,plain,
% 72.17/45.02 (v101(constB2) | (~v102(constB2))),
% 72.17/45.02 inference(unit_resolution,[status(thm)],[370, 367, 187, 357])).
% 72.17/45.02 tff(372,plain,
% 72.17/45.02 (v101(constB2)),
% 72.17/45.02 inference(unit_resolution,[status(thm)],[371, 354])).
% 72.17/45.02 tff(373,plain,
% 72.17/45.02 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(374,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[373])).
% 72.17/45.02 tff(375,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(376,plain,
% 72.17/45.02 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite(((v100(VarNext) | (~v110(VarNext))) | (~v101(VarNext))) <=> ((~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))), ((((v100(VarNext) | (~v110(VarNext))) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (((~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))), ((((v100(VarNext) | (~v110(VarNext))) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(377,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : (((v100(VarNext) | (~v110(VarNext))) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[376])).
% 72.17/45.02 tff(378,axiom,(![VarNext: $i, VarCurr: $i] : (((v100(VarNext) | (~v110(VarNext))) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_1')).
% 72.17/45.02 tff(379,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[378, 377])).
% 72.17/45.02 tff(380,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[379, 375])).
% 72.17/45.02 tff(381,plain,(
% 72.17/45.02 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 72.17/45.02 inference(skolemize,[status(sab)],[380])).
% 72.17/45.02 tff(382,plain,
% 72.17/45.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[381, 374])).
% 72.17/45.02 tff(383,plain,
% 72.17/45.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(384,plain,
% 72.17/45.02 (((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2)) <=> ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(385,plain,
% 72.17/45.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2))))),
% 72.17/45.02 inference(monotonicity,[status(thm)],[384])).
% 72.17/45.02 tff(386,plain,
% 72.17/45.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 72.17/45.02 inference(transitivity,[status(thm)],[385, 383])).
% 72.17/45.02 tff(387,plain,
% 72.17/45.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))),
% 72.17/45.02 inference(quant_inst,[status(thm)],[])).
% 72.17/45.02 tff(388,plain,
% 72.17/45.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2))),
% 72.17/45.02 inference(modus_ponens,[status(thm)],[387, 386])).
% 72.17/45.02 tff(389,plain,
% 72.17/45.02 (v100(constB2) | (~v101(constB2)) | (~v110(constB2))),
% 72.17/45.02 inference(unit_resolution,[status(thm)],[388, 382, 187])).
% 72.17/45.02 tff(390,plain,
% 72.17/45.02 (v100(constB2) | (~v110(constB2))),
% 72.17/45.02 inference(unit_resolution,[status(thm)],[389, 372])).
% 72.17/45.02 tff(391,plain,
% 72.17/45.02 (v100(constB2)),
% 72.17/45.02 inference(unit_resolution,[status(thm)],[390, 325])).
% 72.17/45.02 tff(392,plain,
% 72.17/45.02 (^[VarNext: $i] : refl((v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(393,plain,
% 72.17/45.02 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 72.17/45.02 inference(quant_intro,[status(thm)],[392])).
% 72.17/45.02 tff(394,plain,
% 72.17/45.02 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 72.17/45.02 inference(rewrite,[status(thm)],[])).
% 72.17/45.02 tff(395,plain,
% 72.17/45.02 (^[VarNext: $i] : trans(monotonicity(rewrite((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> (v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0)))), (((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext))) <=> ((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext))))), rewrite(((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext))) <=> (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))), (((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext))) <=> (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))))),
% 72.17/45.02 inference(bind,[status(th)],[])).
% 72.17/45.02 tff(396,plain,
% 72.17/45.02 (![VarNext: $i] : ((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 72.17/45.03 inference(quant_intro,[status(thm)],[395])).
% 72.17/45.03 tff(397,axiom,(![VarNext: $i] : ((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_1')).
% 72.17/45.03 tff(398,plain,
% 72.17/45.03 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[397, 396])).
% 72.17/45.03 tff(399,plain,
% 72.17/45.03 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[398, 394])).
% 72.17/45.03 tff(400,plain,(
% 72.17/45.03 ![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 72.17/45.03 inference(skolemize,[status(sab)],[399])).
% 72.17/45.03 tff(401,plain,
% 72.17/45.03 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[400, 393])).
% 72.17/45.03 tff(402,plain,
% 72.17/45.03 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0)) | (~v100(constB2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0)) | (~v100(constB2)))),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(403,plain,
% 72.17/45.03 ((v90(constB2, bitIndex0) | (~v100(constB2)) | (~v129(constB2, bitIndex0))) <=> (v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0)) | (~v100(constB2)))),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(404,plain,
% 72.17/45.03 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~v100(constB2)) | (~v129(constB2, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0)) | (~v100(constB2))))),
% 72.17/45.03 inference(monotonicity,[status(thm)],[403])).
% 72.17/45.03 tff(405,plain,
% 72.17/45.03 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~v100(constB2)) | (~v129(constB2, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0)) | (~v100(constB2)))),
% 72.17/45.03 inference(transitivity,[status(thm)],[404, 402])).
% 72.17/45.03 tff(406,plain,
% 72.17/45.03 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB2, bitIndex0) | (~v100(constB2)) | (~v129(constB2, bitIndex0)))),
% 72.17/45.03 inference(quant_inst,[status(thm)],[])).
% 72.17/45.03 tff(407,plain,
% 72.17/45.03 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0)) | (~v100(constB2))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[406, 405])).
% 72.17/45.03 tff(408,plain,
% 72.17/45.03 (v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0))),
% 72.17/45.03 inference(unit_resolution,[status(thm)],[407, 401, 391])).
% 72.17/45.03 tff(409,plain,
% 72.17/45.03 (v90(constB2, bitIndex0)),
% 72.17/45.03 inference(unit_resolution,[status(thm)],[408, 202])).
% 72.17/45.03 tff(410,plain,
% 72.17/45.03 ((~v1(constB3)) <=> (~v1(constB3))),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(411,axiom,(~v1(constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_3_1_1')).
% 72.17/45.03 tff(412,plain,
% 72.17/45.03 (~v1(constB3)),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[411, 410])).
% 72.17/45.03 tff(413,plain,
% 72.17/45.03 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(414,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_2_1')).
% 72.17/45.03 tff(415,plain,
% 72.17/45.03 (nextState(constB2, constB3)),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[414, 413])).
% 72.17/45.03 tff(416,plain,
% 72.17/45.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(417,plain,
% 72.17/45.03 (((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3)) <=> (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(418,plain,
% 72.17/45.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3))))),
% 72.17/45.03 inference(monotonicity,[status(thm)],[417])).
% 72.17/45.03 tff(419,plain,
% 72.17/45.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 72.17/45.03 inference(transitivity,[status(thm)],[418, 416])).
% 72.17/45.03 tff(420,plain,
% 72.17/45.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))),
% 72.17/45.03 inference(quant_inst,[status(thm)],[])).
% 72.17/45.03 tff(421,plain,
% 72.17/45.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[420, 419])).
% 72.17/45.03 tff(422,plain,
% 72.17/45.03 (~v101(constB3)),
% 72.17/45.03 inference(unit_resolution,[status(thm)],[421, 56, 415, 412])).
% 72.17/45.03 tff(423,plain,
% 72.17/45.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(424,plain,
% 72.17/45.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))),
% 72.17/45.03 inference(quant_inst,[status(thm)],[])).
% 72.17/45.03 tff(425,plain,
% 72.17/45.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[424, 423])).
% 72.17/45.03 tff(426,plain,
% 72.17/45.03 (v101(constB3) | (~v100(constB3))),
% 72.17/45.03 inference(unit_resolution,[status(thm)],[425, 73, 415])).
% 72.17/45.03 tff(427,plain,
% 72.17/45.03 (~v100(constB3)),
% 72.17/45.03 inference(unit_resolution,[status(thm)],[426, 422])).
% 72.17/45.03 tff(428,plain,
% 72.17/45.03 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)))),
% 72.17/45.03 inference(bind,[status(th)],[])).
% 72.17/45.03 tff(429,plain,
% 72.17/45.03 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 72.17/45.03 inference(quant_intro,[status(thm)],[428])).
% 72.17/45.03 tff(430,plain,
% 72.17/45.03 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(431,plain,
% 72.17/45.03 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarNext, bitIndex0))), (((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) | v100(VarNext)) <=> (((~v90(VarCurr, bitIndex0)) | v90(VarNext, bitIndex0)) | v100(VarNext)))), rewrite((((~v90(VarCurr, bitIndex0)) | v90(VarNext, bitIndex0)) | v100(VarNext)) <=> ((~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))), (((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) | v100(VarNext)) <=> ((~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)))), ((((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (((~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))), ((((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))))),
% 72.17/45.03 inference(bind,[status(th)],[])).
% 72.17/45.03 tff(432,plain,
% 72.17/45.03 (![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 72.17/45.03 inference(quant_intro,[status(thm)],[431])).
% 72.17/45.03 tff(433,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex0) | (~v90(VarCurr, bitIndex0))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_1')).
% 72.17/45.03 tff(434,plain,
% 72.17/45.03 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[433, 432])).
% 72.17/45.03 tff(435,plain,
% 72.17/45.03 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[434, 430])).
% 72.17/45.03 tff(436,plain,(
% 72.17/45.03 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 72.17/45.03 inference(skolemize,[status(sab)],[435])).
% 72.17/45.03 tff(437,plain,
% 72.17/45.03 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[436, 429])).
% 72.17/45.03 tff(438,plain,
% 72.17/45.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex0))),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(439,plain,
% 72.17/45.03 (((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex0)) | v100(constB3) | v90(constB3, bitIndex0)) <=> ((~v90(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex0))),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(440,plain,
% 72.17/45.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex0)) | v100(constB3) | v90(constB3, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex0)))),
% 72.17/45.03 inference(monotonicity,[status(thm)],[439])).
% 72.17/45.03 tff(441,plain,
% 72.17/45.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex0)) | v100(constB3) | v90(constB3, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex0))),
% 72.17/45.03 inference(transitivity,[status(thm)],[440, 438])).
% 72.17/45.03 tff(442,plain,
% 72.17/45.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex0)) | v100(constB3) | v90(constB3, bitIndex0))),
% 72.17/45.03 inference(quant_inst,[status(thm)],[])).
% 72.17/45.03 tff(443,plain,
% 72.17/45.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex0)),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[442, 441])).
% 72.17/45.03 tff(444,plain,
% 72.17/45.03 ((~v90(constB2, bitIndex0)) | v100(constB3) | v90(constB3, bitIndex0)),
% 72.17/45.03 inference(unit_resolution,[status(thm)],[443, 437, 415])).
% 72.17/45.03 tff(445,plain,
% 72.17/45.03 ((~v90(constB2, bitIndex0)) | v90(constB3, bitIndex0)),
% 72.17/45.03 inference(unit_resolution,[status(thm)],[444, 427])).
% 72.17/45.03 tff(446,plain,
% 72.17/45.03 (v90(constB3, bitIndex0)),
% 72.17/45.03 inference(unit_resolution,[status(thm)],[445, 409])).
% 72.17/45.03 tff(447,plain,
% 72.17/45.03 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 72.17/45.03 inference(bind,[status(th)],[])).
% 72.17/45.03 tff(448,plain,
% 72.17/45.03 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.17/45.03 inference(quant_intro,[status(thm)],[447])).
% 72.17/45.03 tff(449,plain,
% 72.17/45.03 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(450,plain,
% 72.17/45.03 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex2)) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 72.17/45.03 inference(bind,[status(th)],[])).
% 72.17/45.03 tff(451,plain,
% 72.17/45.03 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.17/45.03 inference(quant_intro,[status(thm)],[450])).
% 72.17/45.03 tff(452,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_6_3')).
% 72.17/45.03 tff(453,plain,
% 72.17/45.03 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[452, 451])).
% 72.17/45.03 tff(454,plain,
% 72.17/45.03 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[453, 449])).
% 72.17/45.03 tff(455,plain,(
% 72.17/45.03 ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.17/45.03 inference(skolemize,[status(sab)],[454])).
% 72.17/45.03 tff(456,plain,
% 72.17/45.03 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[455, 448])).
% 72.17/45.03 tff(457,plain,
% 72.17/45.03 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB1)) | (~v130(constB1, bitIndex2)))),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(458,plain,
% 72.17/45.03 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex2)))),
% 72.17/45.03 inference(quant_inst,[status(thm)],[])).
% 72.17/45.03 tff(459,plain,
% 72.17/45.03 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB1)) | (~v130(constB1, bitIndex2))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[458, 457])).
% 72.17/45.03 tff(460,plain,
% 72.17/45.03 (~v130(constB1, bitIndex2)),
% 72.17/45.03 inference(unit_resolution,[status(thm)],[459, 456, 155])).
% 72.17/45.03 tff(461,plain,
% 72.17/45.03 (^[VarCurr: $i] : refl((v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))))),
% 72.17/45.03 inference(bind,[status(th)],[])).
% 72.17/45.03 tff(462,plain,
% 72.17/45.03 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 72.17/45.03 inference(quant_intro,[status(thm)],[461])).
% 72.17/45.03 tff(463,plain,
% 72.17/45.03 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(464,plain,
% 72.17/45.03 (^[VarCurr: $i] : trans(monotonicity(rewrite((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> (v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))), (((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr)) <=> ((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr)))), rewrite(((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))), (((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))))),
% 72.17/45.03 inference(bind,[status(th)],[])).
% 72.17/45.03 tff(465,plain,
% 72.17/45.03 (![VarCurr: $i] : ((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 72.17/45.03 inference(quant_intro,[status(thm)],[464])).
% 72.17/45.03 tff(466,axiom,(![VarCurr: $i] : ((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_6')).
% 72.17/45.03 tff(467,plain,
% 72.17/45.03 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[466, 465])).
% 72.17/45.03 tff(468,plain,
% 72.17/45.03 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[467, 463])).
% 72.17/45.03 tff(469,plain,(
% 72.17/45.03 ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 72.17/45.03 inference(skolemize,[status(sab)],[468])).
% 72.17/45.03 tff(470,plain,
% 72.17/45.03 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[469, 462])).
% 72.17/45.03 tff(471,plain,
% 72.17/45.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2))),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(472,plain,
% 72.17/45.03 ((v26(constB1) | v130(constB1, bitIndex2) | (~v127(constB1, bitIndex2))) <=> ((~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2))),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(473,plain,
% 72.17/45.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB1) | v130(constB1, bitIndex2) | (~v127(constB1, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2)))),
% 72.17/45.03 inference(monotonicity,[status(thm)],[472])).
% 72.17/45.03 tff(474,plain,
% 72.17/45.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB1) | v130(constB1, bitIndex2) | (~v127(constB1, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2))),
% 72.17/45.03 inference(transitivity,[status(thm)],[473, 471])).
% 72.17/45.03 tff(475,plain,
% 72.17/45.03 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB1) | v130(constB1, bitIndex2) | (~v127(constB1, bitIndex2)))),
% 72.17/45.03 inference(quant_inst,[status(thm)],[])).
% 72.17/45.03 tff(476,plain,
% 72.17/45.03 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB1, bitIndex2)) | v26(constB1) | v130(constB1, bitIndex2)),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[475, 474])).
% 72.17/45.03 tff(477,plain,
% 72.17/45.03 ((~v127(constB1, bitIndex2)) | v26(constB1)),
% 72.17/45.03 inference(unit_resolution,[status(thm)],[476, 470, 460])).
% 72.17/45.03 tff(478,plain,
% 72.17/45.03 (~v127(constB1, bitIndex2)),
% 72.17/45.03 inference(unit_resolution,[status(thm)],[477, 40])).
% 72.17/45.03 tff(479,plain,
% 72.17/45.03 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))))),
% 72.17/45.03 inference(bind,[status(th)],[])).
% 72.17/45.03 tff(480,plain,
% 72.17/45.03 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 72.17/45.03 inference(quant_intro,[status(thm)],[479])).
% 72.17/45.03 tff(481,plain,
% 72.17/45.03 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(482,plain,
% 72.17/45.03 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> (v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))), (((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))))), rewrite(((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))), (((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))))),
% 72.17/45.03 inference(bind,[status(th)],[])).
% 72.17/45.03 tff(483,plain,
% 72.17/45.03 (![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 72.17/45.03 inference(quant_intro,[status(thm)],[482])).
% 72.17/45.03 tff(484,axiom,(![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_6')).
% 72.17/45.03 tff(485,plain,
% 72.17/45.03 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[484, 483])).
% 72.17/45.03 tff(486,plain,
% 72.17/45.03 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[485, 481])).
% 72.17/45.03 tff(487,plain,(
% 72.17/45.03 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 72.17/45.03 inference(skolemize,[status(sab)],[486])).
% 72.17/45.03 tff(488,plain,
% 72.17/45.03 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[487, 480])).
% 72.17/45.03 tff(489,plain,
% 72.17/45.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex2) | (~v129(constB2, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex2) | (~v129(constB2, bitIndex2)))),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(490,plain,
% 72.17/45.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex2) | (~v129(constB2, bitIndex2)))),
% 72.17/45.03 inference(quant_inst,[status(thm)],[])).
% 72.17/45.03 tff(491,plain,
% 72.17/45.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex2) | (~v129(constB2, bitIndex2))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[490, 489])).
% 72.17/45.03 tff(492,plain,
% 72.17/45.03 (v127(constB1, bitIndex2) | (~v129(constB2, bitIndex2))),
% 72.17/45.03 inference(unit_resolution,[status(thm)],[491, 488, 187])).
% 72.17/45.03 tff(493,plain,
% 72.17/45.03 (~v129(constB2, bitIndex2)),
% 72.17/45.03 inference(unit_resolution,[status(thm)],[492, 478])).
% 72.17/45.03 tff(494,plain,
% 72.17/45.03 (^[VarNext: $i] : refl(((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2)) <=> ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2)))),
% 72.17/45.03 inference(bind,[status(th)],[])).
% 72.17/45.03 tff(495,plain,
% 72.17/45.03 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 72.17/45.03 inference(quant_intro,[status(thm)],[494])).
% 72.17/45.03 tff(496,plain,
% 72.17/45.03 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(497,plain,
% 72.17/45.03 (^[VarNext: $i] : trans(monotonicity(rewrite((v129(VarNext, bitIndex2) | (~v90(VarNext, bitIndex2))) <=> ((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2))), (((v129(VarNext, bitIndex2) | (~v90(VarNext, bitIndex2))) | (~v100(VarNext))) <=> (((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2)) | (~v100(VarNext))))), rewrite((((~v90(VarNext, bitIndex2)) | v129(VarNext, bitIndex2)) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))), (((v129(VarNext, bitIndex2) | (~v90(VarNext, bitIndex2))) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))))),
% 72.17/45.03 inference(bind,[status(th)],[])).
% 72.17/45.03 tff(498,plain,
% 72.17/45.03 (![VarNext: $i] : ((v129(VarNext, bitIndex2) | (~v90(VarNext, bitIndex2))) | (~v100(VarNext))) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 72.17/45.03 inference(quant_intro,[status(thm)],[497])).
% 72.17/45.03 tff(499,axiom,(![VarNext: $i] : ((v129(VarNext, bitIndex2) | (~v90(VarNext, bitIndex2))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_6')).
% 72.17/45.03 tff(500,plain,
% 72.17/45.03 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[499, 498])).
% 72.17/45.03 tff(501,plain,
% 72.17/45.03 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[500, 496])).
% 72.17/45.03 tff(502,plain,(
% 72.17/45.03 ![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 72.17/45.03 inference(skolemize,[status(sab)],[501])).
% 72.17/45.03 tff(503,plain,
% 72.17/45.03 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[502, 495])).
% 72.17/45.03 tff(504,plain,
% 72.17/45.03 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2) | (~v100(constB2)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2) | (~v100(constB2)))),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(505,plain,
% 72.17/45.03 (((~v90(constB2, bitIndex2)) | (~v100(constB2)) | v129(constB2, bitIndex2)) <=> ((~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2) | (~v100(constB2)))),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(506,plain,
% 72.17/45.03 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB2, bitIndex2)) | (~v100(constB2)) | v129(constB2, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2) | (~v100(constB2))))),
% 72.17/45.03 inference(monotonicity,[status(thm)],[505])).
% 72.17/45.03 tff(507,plain,
% 72.17/45.03 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB2, bitIndex2)) | (~v100(constB2)) | v129(constB2, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2) | (~v100(constB2)))),
% 72.17/45.03 inference(transitivity,[status(thm)],[506, 504])).
% 72.17/45.03 tff(508,plain,
% 72.17/45.03 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB2, bitIndex2)) | (~v100(constB2)) | v129(constB2, bitIndex2))),
% 72.17/45.03 inference(quant_inst,[status(thm)],[])).
% 72.17/45.03 tff(509,plain,
% 72.17/45.03 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2) | (~v100(constB2))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[508, 507])).
% 72.17/45.03 tff(510,plain,
% 72.17/45.03 ((~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2)),
% 72.17/45.03 inference(unit_resolution,[status(thm)],[509, 503, 391])).
% 72.17/45.03 tff(511,plain,
% 72.17/45.03 (~v90(constB2, bitIndex2)),
% 72.17/45.03 inference(unit_resolution,[status(thm)],[510, 493])).
% 72.17/45.03 tff(512,plain,
% 72.17/45.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex2)))),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(513,plain,
% 72.17/45.03 (((~nextState(constB2, constB3)) | v90(constB2, bitIndex2) | v100(constB3) | (~v90(constB3, bitIndex2))) <=> (v90(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex2)))),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(514,plain,
% 72.17/45.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex2) | v100(constB3) | (~v90(constB3, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex2))))),
% 72.17/45.03 inference(monotonicity,[status(thm)],[513])).
% 72.17/45.03 tff(515,plain,
% 72.17/45.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex2) | v100(constB3) | (~v90(constB3, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex2)))),
% 72.17/45.03 inference(transitivity,[status(thm)],[514, 512])).
% 72.17/45.03 tff(516,plain,
% 72.17/45.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex2) | v100(constB3) | (~v90(constB3, bitIndex2)))),
% 72.17/45.03 inference(quant_inst,[status(thm)],[])).
% 72.17/45.03 tff(517,plain,
% 72.17/45.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex2))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[516, 515])).
% 72.17/45.03 tff(518,plain,
% 72.17/45.03 (v90(constB2, bitIndex2) | v100(constB3) | (~v90(constB3, bitIndex2))),
% 72.17/45.03 inference(unit_resolution,[status(thm)],[517, 88, 415])).
% 72.17/45.03 tff(519,plain,
% 72.17/45.03 (v90(constB2, bitIndex2) | (~v90(constB3, bitIndex2))),
% 72.17/45.03 inference(unit_resolution,[status(thm)],[518, 427])).
% 72.17/45.03 tff(520,plain,
% 72.17/45.03 (~v90(constB3, bitIndex2)),
% 72.17/45.03 inference(unit_resolution,[status(thm)],[519, 511])).
% 72.17/45.03 tff(521,assumption,(v90(constB2, bitIndex1)), introduced(assumption)).
% 72.17/45.03 tff(522,plain,
% 72.17/45.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB1, bitIndex1) | (~nextState(constB1, constB2)) | v100(constB2) | (~v90(constB2, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB1, bitIndex1) | (~nextState(constB1, constB2)) | v100(constB2) | (~v90(constB2, bitIndex1)))),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(523,plain,
% 72.17/45.03 (((~nextState(constB1, constB2)) | v90(constB1, bitIndex1) | v100(constB2) | (~v90(constB2, bitIndex1))) <=> (v90(constB1, bitIndex1) | (~nextState(constB1, constB2)) | v100(constB2) | (~v90(constB2, bitIndex1)))),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(524,plain,
% 72.17/45.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v90(constB1, bitIndex1) | v100(constB2) | (~v90(constB2, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB1, bitIndex1) | (~nextState(constB1, constB2)) | v100(constB2) | (~v90(constB2, bitIndex1))))),
% 72.17/45.03 inference(monotonicity,[status(thm)],[523])).
% 72.17/45.03 tff(525,plain,
% 72.17/45.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v90(constB1, bitIndex1) | v100(constB2) | (~v90(constB2, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB1, bitIndex1) | (~nextState(constB1, constB2)) | v100(constB2) | (~v90(constB2, bitIndex1)))),
% 72.17/45.03 inference(transitivity,[status(thm)],[524, 522])).
% 72.17/45.03 tff(526,plain,
% 72.17/45.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v90(constB1, bitIndex1) | v100(constB2) | (~v90(constB2, bitIndex1)))),
% 72.17/45.03 inference(quant_inst,[status(thm)],[])).
% 72.17/45.03 tff(527,plain,
% 72.17/45.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB1, bitIndex1) | (~nextState(constB1, constB2)) | v100(constB2) | (~v90(constB2, bitIndex1))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[526, 525])).
% 72.17/45.03 tff(528,plain,
% 72.17/45.03 (v90(constB1, bitIndex1) | v100(constB2) | (~v90(constB2, bitIndex1))),
% 72.17/45.03 inference(unit_resolution,[status(thm)],[527, 109, 187])).
% 72.17/45.03 tff(529,plain,
% 72.17/45.03 (v100(constB2) | (~v90(constB2, bitIndex1))),
% 72.17/45.03 inference(unit_resolution,[status(thm)],[528, 120])).
% 72.17/45.03 tff(530,plain,
% 72.17/45.03 (v100(constB2)),
% 72.17/45.03 inference(unit_resolution,[status(thm)],[529, 521])).
% 72.17/45.03 tff(531,assumption,(v127(constB1, bitIndex1)), introduced(assumption)).
% 72.17/45.03 tff(532,plain,
% 72.17/45.03 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 72.17/45.03 inference(bind,[status(th)],[])).
% 72.17/45.03 tff(533,plain,
% 72.17/45.03 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.17/45.03 inference(quant_intro,[status(thm)],[532])).
% 72.17/45.03 tff(534,plain,
% 72.17/45.03 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(535,plain,
% 72.17/45.03 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex1)) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 72.17/45.03 inference(bind,[status(th)],[])).
% 72.17/45.03 tff(536,plain,
% 72.17/45.03 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.17/45.03 inference(quant_intro,[status(thm)],[535])).
% 72.17/45.03 tff(537,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_6_2')).
% 72.17/45.03 tff(538,plain,
% 72.17/45.03 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[537, 536])).
% 72.17/45.03 tff(539,plain,
% 72.17/45.03 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[538, 534])).
% 72.17/45.03 tff(540,plain,(
% 72.17/45.03 ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.17/45.03 inference(skolemize,[status(sab)],[539])).
% 72.17/45.03 tff(541,plain,
% 72.17/45.03 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[540, 533])).
% 72.17/45.03 tff(542,plain,
% 72.17/45.03 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB1)) | (~v130(constB1, bitIndex1)))),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(543,plain,
% 72.17/45.03 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex1)))),
% 72.17/45.03 inference(quant_inst,[status(thm)],[])).
% 72.17/45.03 tff(544,plain,
% 72.17/45.03 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB1)) | (~v130(constB1, bitIndex1))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[543, 542])).
% 72.17/45.03 tff(545,plain,
% 72.17/45.03 (~v130(constB1, bitIndex1)),
% 72.17/45.03 inference(unit_resolution,[status(thm)],[544, 541, 155])).
% 72.17/45.03 tff(546,plain,
% 72.17/45.03 (^[VarCurr: $i] : refl((v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))))),
% 72.17/45.03 inference(bind,[status(th)],[])).
% 72.17/45.03 tff(547,plain,
% 72.17/45.03 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 72.17/45.03 inference(quant_intro,[status(thm)],[546])).
% 72.17/45.03 tff(548,plain,
% 72.17/45.03 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 72.17/45.03 inference(rewrite,[status(thm)],[])).
% 72.17/45.03 tff(549,plain,
% 72.17/45.03 (^[VarCurr: $i] : trans(monotonicity(rewrite((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> (v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))), (((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr)) <=> ((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr)))), rewrite(((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))), (((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))))),
% 72.17/45.03 inference(bind,[status(th)],[])).
% 72.17/45.03 tff(550,plain,
% 72.17/45.03 (![VarCurr: $i] : ((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 72.17/45.03 inference(quant_intro,[status(thm)],[549])).
% 72.17/45.03 tff(551,axiom,(![VarCurr: $i] : ((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_4')).
% 72.17/45.03 tff(552,plain,
% 72.17/45.03 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[551, 550])).
% 72.17/45.03 tff(553,plain,
% 72.17/45.03 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 72.17/45.03 inference(modus_ponens,[status(thm)],[552, 548])).
% 72.17/45.04 tff(554,plain,(
% 72.17/45.04 ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 72.17/45.04 inference(skolemize,[status(sab)],[553])).
% 72.17/45.04 tff(555,plain,
% 72.17/45.04 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[554, 547])).
% 72.17/45.04 tff(556,plain,
% 72.17/45.04 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(557,plain,
% 72.17/45.04 ((v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1))) <=> ((~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(558,plain,
% 72.17/45.04 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1)))),
% 72.17/45.04 inference(monotonicity,[status(thm)],[557])).
% 72.17/45.04 tff(559,plain,
% 72.17/45.04 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))),
% 72.17/45.04 inference(transitivity,[status(thm)],[558, 556])).
% 72.17/45.04 tff(560,plain,
% 72.17/45.04 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1)))),
% 72.17/45.04 inference(quant_inst,[status(thm)],[])).
% 72.17/45.04 tff(561,plain,
% 72.17/45.04 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1)),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[560, 559])).
% 72.17/45.04 tff(562,plain,
% 72.17/45.04 ((~v127(constB1, bitIndex1)) | v26(constB1)),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[561, 555, 545])).
% 72.17/45.04 tff(563,plain,
% 72.17/45.04 (v26(constB1)),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[562, 531])).
% 72.17/45.04 tff(564,plain,
% 72.17/45.04 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))))),
% 72.17/45.04 inference(bind,[status(th)],[])).
% 72.17/45.04 tff(565,plain,
% 72.17/45.04 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 72.17/45.04 inference(quant_intro,[status(thm)],[564])).
% 72.17/45.04 tff(566,plain,
% 72.17/45.04 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(567,plain,
% 72.17/45.04 (^[VarCurr: $i] : rewrite(((~v127(VarCurr, bitIndex1)) | (~v26(VarCurr))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))))),
% 72.17/45.04 inference(bind,[status(th)],[])).
% 72.17/45.04 tff(568,plain,
% 72.17/45.04 (![VarCurr: $i] : ((~v127(VarCurr, bitIndex1)) | (~v26(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 72.17/45.04 inference(quant_intro,[status(thm)],[567])).
% 72.17/45.04 tff(569,axiom,(![VarCurr: $i] : ((~v127(VarCurr, bitIndex1)) | (~v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_2')).
% 72.17/45.04 tff(570,plain,
% 72.17/45.04 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[569, 568])).
% 72.17/45.04 tff(571,plain,
% 72.17/45.04 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[570, 566])).
% 72.17/45.04 tff(572,plain,(
% 72.17/45.04 ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 72.17/45.04 inference(skolemize,[status(sab)],[571])).
% 72.17/45.04 tff(573,plain,
% 72.17/45.04 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[572, 565])).
% 72.17/45.04 tff(574,plain,
% 72.17/45.04 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB1)) | (~v127(constB1, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB1)) | (~v127(constB1, bitIndex1)))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(575,plain,
% 72.17/45.04 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB1)) | (~v127(constB1, bitIndex1)))),
% 72.17/45.04 inference(quant_inst,[status(thm)],[])).
% 72.17/45.04 tff(576,plain,
% 72.17/45.04 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB1)) | (~v127(constB1, bitIndex1))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[575, 574])).
% 72.17/45.04 tff(577,plain,
% 72.17/45.04 ($false),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[576, 573, 531, 563])).
% 72.17/45.04 tff(578,plain,(~v127(constB1, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.17/45.04 tff(579,plain,
% 72.17/45.04 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))))),
% 72.17/45.04 inference(bind,[status(th)],[])).
% 72.17/45.04 tff(580,plain,
% 72.17/45.04 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 72.17/45.04 inference(quant_intro,[status(thm)],[579])).
% 72.17/45.04 tff(581,plain,
% 72.17/45.04 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(582,plain,
% 72.17/45.04 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> (v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))), (((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))))), rewrite(((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))), (((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))))),
% 72.17/45.04 inference(bind,[status(th)],[])).
% 72.17/45.04 tff(583,plain,
% 72.17/45.04 (![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 72.17/45.04 inference(quant_intro,[status(thm)],[582])).
% 72.17/45.04 tff(584,axiom,(![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_4')).
% 72.17/45.04 tff(585,plain,
% 72.17/45.04 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[584, 583])).
% 72.17/45.04 tff(586,plain,
% 72.17/45.04 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[585, 581])).
% 72.17/45.04 tff(587,plain,(
% 72.17/45.04 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 72.17/45.04 inference(skolemize,[status(sab)],[586])).
% 72.17/45.04 tff(588,plain,
% 72.17/45.04 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[587, 580])).
% 72.17/45.04 tff(589,plain,
% 72.17/45.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1)))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(590,plain,
% 72.17/45.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1)))),
% 72.17/45.04 inference(quant_inst,[status(thm)],[])).
% 72.17/45.04 tff(591,plain,
% 72.17/45.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[590, 589])).
% 72.17/45.04 tff(592,plain,
% 72.17/45.04 (v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1))),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[591, 588, 187])).
% 72.17/45.04 tff(593,plain,
% 72.17/45.04 (~v129(constB2, bitIndex1)),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[592, 578])).
% 72.17/45.04 tff(594,plain,
% 72.17/45.04 (^[VarNext: $i] : refl(((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)))),
% 72.17/45.04 inference(bind,[status(th)],[])).
% 72.17/45.04 tff(595,plain,
% 72.17/45.04 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 72.17/45.04 inference(quant_intro,[status(thm)],[594])).
% 72.17/45.04 tff(596,plain,
% 72.17/45.04 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(597,plain,
% 72.17/45.04 (^[VarNext: $i] : trans(monotonicity(rewrite((v129(VarNext, bitIndex1) | (~v90(VarNext, bitIndex1))) <=> ((~v90(VarNext, bitIndex1)) | v129(VarNext, bitIndex1))), (((v129(VarNext, bitIndex1) | (~v90(VarNext, bitIndex1))) | (~v100(VarNext))) <=> (((~v90(VarNext, bitIndex1)) | v129(VarNext, bitIndex1)) | (~v100(VarNext))))), rewrite((((~v90(VarNext, bitIndex1)) | v129(VarNext, bitIndex1)) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))), (((v129(VarNext, bitIndex1) | (~v90(VarNext, bitIndex1))) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))))),
% 72.17/45.04 inference(bind,[status(th)],[])).
% 72.17/45.04 tff(598,plain,
% 72.17/45.04 (![VarNext: $i] : ((v129(VarNext, bitIndex1) | (~v90(VarNext, bitIndex1))) | (~v100(VarNext))) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 72.17/45.04 inference(quant_intro,[status(thm)],[597])).
% 72.17/45.04 tff(599,axiom,(![VarNext: $i] : ((v129(VarNext, bitIndex1) | (~v90(VarNext, bitIndex1))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_4')).
% 72.17/45.04 tff(600,plain,
% 72.17/45.04 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[599, 598])).
% 72.17/45.04 tff(601,plain,
% 72.17/45.04 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[600, 596])).
% 72.17/45.04 tff(602,plain,(
% 72.17/45.04 ![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 72.17/45.04 inference(skolemize,[status(sab)],[601])).
% 72.17/45.04 tff(603,plain,
% 72.17/45.04 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[602, 595])).
% 72.17/45.04 tff(604,plain,
% 72.17/45.04 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(605,plain,
% 72.17/45.04 (((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1)) <=> ((~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(606,plain,
% 72.17/45.04 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2))))),
% 72.17/45.04 inference(monotonicity,[status(thm)],[605])).
% 72.17/45.04 tff(607,plain,
% 72.17/45.04 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))),
% 72.17/45.04 inference(transitivity,[status(thm)],[606, 604])).
% 72.17/45.04 tff(608,plain,
% 72.17/45.04 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1))),
% 72.17/45.04 inference(quant_inst,[status(thm)],[])).
% 72.17/45.04 tff(609,plain,
% 72.17/45.04 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[608, 607])).
% 72.17/45.04 tff(610,plain,
% 72.17/45.04 ((~v90(constB2, bitIndex1)) | (~v100(constB2))),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[609, 603, 593])).
% 72.17/45.04 tff(611,plain,
% 72.17/45.04 ($false),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[610, 530, 521])).
% 72.17/45.04 tff(612,plain,(~v90(constB2, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.17/45.04 tff(613,plain,
% 72.17/45.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(614,plain,
% 72.17/45.04 (((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1))) <=> (v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(615,plain,
% 72.17/45.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1))))),
% 72.17/45.04 inference(monotonicity,[status(thm)],[614])).
% 72.17/45.04 tff(616,plain,
% 72.17/45.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 72.17/45.04 inference(transitivity,[status(thm)],[615, 613])).
% 72.17/45.04 tff(617,plain,
% 72.17/45.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 72.17/45.04 inference(quant_inst,[status(thm)],[])).
% 72.17/45.04 tff(618,plain,
% 72.17/45.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[617, 616])).
% 72.17/45.04 tff(619,plain,
% 72.17/45.04 (v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1))),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[618, 109, 415])).
% 72.17/45.04 tff(620,plain,
% 72.17/45.04 (v90(constB2, bitIndex1) | (~v90(constB3, bitIndex1))),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[619, 427])).
% 72.17/45.04 tff(621,plain,
% 72.17/45.04 (~v90(constB3, bitIndex1)),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[620, 612])).
% 72.17/45.04 tff(622,plain,
% 72.17/45.04 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)))),
% 72.17/45.04 inference(bind,[status(th)],[])).
% 72.17/45.04 tff(623,plain,
% 72.17/45.04 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 72.17/45.04 inference(quant_intro,[status(thm)],[622])).
% 72.17/45.04 tff(624,plain,
% 72.17/45.04 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(625,plain,
% 72.17/45.04 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v120(VarCurr) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex2))), ((((v120(VarCurr) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) <=> (((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)))), rewrite((((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) <=> ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))), ((((v120(VarCurr) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) <=> ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))),
% 72.17/45.04 inference(bind,[status(th)],[])).
% 72.17/45.04 tff(626,plain,
% 72.17/45.04 (![VarCurr: $i] : (((v120(VarCurr) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 72.17/45.04 inference(quant_intro,[status(thm)],[625])).
% 72.17/45.04 tff(627,axiom,(![VarCurr: $i] : (((v120(VarCurr) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_1')).
% 72.17/45.04 tff(628,plain,
% 72.17/45.04 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[627, 626])).
% 72.17/45.04 tff(629,plain,
% 72.17/45.04 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[628, 624])).
% 72.17/45.04 tff(630,plain,(
% 72.17/45.04 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 72.17/45.04 inference(skolemize,[status(sab)],[629])).
% 72.17/45.04 tff(631,plain,
% 72.17/45.04 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[630, 623])).
% 72.17/45.04 tff(632,plain,
% 72.17/45.04 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(633,plain,
% 72.17/45.04 (((~v90(constB3, bitIndex0)) | v120(constB3) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2)) <=> ((~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(634,plain,
% 72.17/45.04 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB3, bitIndex0)) | v120(constB3) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3)))),
% 72.17/45.04 inference(monotonicity,[status(thm)],[633])).
% 72.17/45.04 tff(635,plain,
% 72.17/45.04 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB3, bitIndex0)) | v120(constB3) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3))),
% 72.17/45.04 inference(transitivity,[status(thm)],[634, 632])).
% 72.17/45.04 tff(636,plain,
% 72.17/45.04 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB3, bitIndex0)) | v120(constB3) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2))),
% 72.17/45.04 inference(quant_inst,[status(thm)],[])).
% 72.17/45.04 tff(637,plain,
% 72.17/45.04 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB3, bitIndex0)) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | v120(constB3)),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[636, 635])).
% 72.17/45.04 tff(638,plain,
% 72.17/45.04 ((~v90(constB3, bitIndex0)) | v90(constB3, bitIndex2) | v120(constB3)),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[637, 631, 621])).
% 72.17/45.04 tff(639,plain,
% 72.17/45.04 (v120(constB3)),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[638, 520, 446])).
% 72.17/45.04 tff(640,plain,
% 72.17/45.04 (^[VarCurr: $i] : refl((v118(VarCurr) | (~v120(VarCurr))) <=> (v118(VarCurr) | (~v120(VarCurr))))),
% 72.17/45.04 inference(bind,[status(th)],[])).
% 72.17/45.04 tff(641,plain,
% 72.17/45.04 (![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 72.17/45.04 inference(quant_intro,[status(thm)],[640])).
% 72.17/45.04 tff(642,plain,
% 72.17/45.04 (![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(643,axiom,(![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_1')).
% 72.17/45.04 tff(644,plain,
% 72.17/45.04 (![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[643, 642])).
% 72.17/45.04 tff(645,plain,(
% 72.17/45.04 ![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 72.17/45.04 inference(skolemize,[status(sab)],[644])).
% 72.17/45.04 tff(646,plain,
% 72.17/45.04 (![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[645, 641])).
% 72.17/45.04 tff(647,plain,
% 72.17/45.04 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB3) | (~v120(constB3)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB3) | (~v120(constB3)))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(648,plain,
% 72.17/45.04 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB3) | (~v120(constB3)))),
% 72.17/45.04 inference(quant_inst,[status(thm)],[])).
% 72.17/45.04 tff(649,plain,
% 72.17/45.04 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB3) | (~v120(constB3))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[648, 647])).
% 72.17/45.04 tff(650,plain,
% 72.17/45.04 (v118(constB3)),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[649, 646, 639])).
% 72.17/45.04 tff(651,plain,
% 72.17/45.04 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB3) | (~v118(constB3)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB3) | (~v118(constB3)))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(652,plain,
% 72.17/45.04 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB3) | (~v118(constB3)))),
% 72.17/45.04 inference(quant_inst,[status(thm)],[])).
% 72.17/45.04 tff(653,plain,
% 72.17/45.04 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB3) | (~v118(constB3))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[652, 651])).
% 72.17/45.04 tff(654,plain,
% 72.17/45.04 (v117(constB3)),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[653, 243, 650])).
% 72.17/45.04 tff(655,plain,
% 72.17/45.04 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB3) | (~v117(constB3)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB3) | (~v117(constB3)))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(656,plain,
% 72.17/45.04 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB3) | (~v117(constB3)))),
% 72.17/45.04 inference(quant_inst,[status(thm)],[])).
% 72.17/45.04 tff(657,plain,
% 72.17/45.04 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB3) | (~v117(constB3))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[656, 655])).
% 72.17/45.04 tff(658,plain,
% 72.17/45.04 (v116(constB3)),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[657, 254, 654])).
% 72.17/45.04 tff(659,plain,
% 72.17/45.04 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB3) | (~v116(constB3)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB3) | (~v116(constB3)))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(660,plain,
% 72.17/45.04 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB3) | (~v116(constB3)))),
% 72.17/45.04 inference(quant_inst,[status(thm)],[])).
% 72.17/45.04 tff(661,plain,
% 72.17/45.04 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB3) | (~v116(constB3))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[660, 659])).
% 72.17/45.04 tff(662,plain,
% 72.17/45.04 (v115(constB3)),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[661, 265, 658])).
% 72.17/45.04 tff(663,plain,
% 72.17/45.04 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB3) | (~v115(constB3)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB3) | (~v115(constB3)))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(664,plain,
% 72.17/45.04 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB3) | (~v115(constB3)))),
% 72.17/45.04 inference(quant_inst,[status(thm)],[])).
% 72.17/45.04 tff(665,plain,
% 72.17/45.04 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB3) | (~v115(constB3))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[664, 663])).
% 72.17/45.04 tff(666,plain,
% 72.17/45.04 (v114(constB3)),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[665, 276, 662])).
% 72.17/45.04 tff(667,plain,
% 72.17/45.04 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB3) | (~v114(constB3)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB3) | (~v114(constB3)))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(668,plain,
% 72.17/45.04 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB3) | (~v114(constB3)))),
% 72.17/45.04 inference(quant_inst,[status(thm)],[])).
% 72.17/45.04 tff(669,plain,
% 72.17/45.04 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB3) | (~v114(constB3))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[668, 667])).
% 72.17/45.04 tff(670,plain,
% 72.17/45.04 (v113(constB3)),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[669, 287, 666])).
% 72.17/45.04 tff(671,assumption,(v26(constB3)), introduced(assumption)).
% 72.17/45.04 tff(672,plain,
% 72.17/45.04 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB3))),
% 72.17/45.04 inference(quant_inst,[status(thm)],[])).
% 72.17/45.04 tff(673,plain,
% 72.17/45.04 ($false),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[672, 37, 671])).
% 72.17/45.04 tff(674,plain,(~v26(constB3)), inference(lemma,lemma(discharge,[]))).
% 72.17/45.04 tff(675,plain,
% 72.17/45.04 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | (~v113(constB3)) | v112(constB3))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(676,plain,
% 72.17/45.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))),
% 72.17/45.04 inference(quant_inst,[status(thm)],[])).
% 72.17/45.04 tff(677,plain,
% 72.17/45.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | (~v113(constB3)) | v112(constB3)),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[676, 675])).
% 72.17/45.04 tff(678,plain,
% 72.17/45.04 ((~v113(constB3)) | v112(constB3)),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[677, 301, 674])).
% 72.17/45.04 tff(679,plain,
% 72.17/45.04 (v112(constB3)),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[678, 670])).
% 72.17/45.04 tff(680,plain,
% 72.17/45.04 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB3) | (~v112(constB3)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB3) | (~v112(constB3)))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(681,plain,
% 72.17/45.04 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB3) | (~v112(constB3)))),
% 72.17/45.04 inference(quant_inst,[status(thm)],[])).
% 72.17/45.04 tff(682,plain,
% 72.17/45.04 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB3) | (~v112(constB3))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[681, 680])).
% 72.17/45.04 tff(683,plain,
% 72.17/45.04 (v108(constB3)),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[682, 210, 679])).
% 72.17/45.04 tff(684,plain,
% 72.17/45.04 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(685,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_3_1')).
% 72.17/45.04 tff(686,plain,
% 72.17/45.04 (nextState(constB3, constB4)),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[685, 684])).
% 72.17/45.04 tff(687,plain,
% 72.17/45.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(688,plain,
% 72.17/45.04 (((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4)) <=> ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(689,plain,
% 72.17/45.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3))))),
% 72.17/45.04 inference(monotonicity,[status(thm)],[688])).
% 72.17/45.04 tff(690,plain,
% 72.17/45.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 72.17/45.04 inference(transitivity,[status(thm)],[689, 687])).
% 72.17/45.04 tff(691,plain,
% 72.17/45.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))),
% 72.17/45.04 inference(quant_inst,[status(thm)],[])).
% 72.17/45.04 tff(692,plain,
% 72.17/45.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[691, 690])).
% 72.17/45.04 tff(693,plain,
% 72.17/45.04 (v110(constB4) | (~v108(constB3))),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[692, 317, 686])).
% 72.17/45.04 tff(694,plain,
% 72.17/45.04 (v110(constB4)),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[693, 683])).
% 72.17/45.04 tff(695,plain,
% 72.17/45.04 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(696,plain,
% 72.17/45.04 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))),
% 72.17/45.04 inference(quant_inst,[status(thm)],[])).
% 72.17/45.04 tff(697,plain,
% 72.17/45.04 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[696, 695])).
% 72.17/45.04 tff(698,plain,
% 72.17/45.04 (~v104(constB4)),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[697, 335, 686, 412])).
% 72.17/45.04 tff(699,plain,
% 72.17/45.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(700,plain,
% 72.17/45.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))),
% 72.17/45.04 inference(quant_inst,[status(thm)],[])).
% 72.17/45.04 tff(701,plain,
% 72.17/45.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v102(constB4) | v104(constB4)),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[700, 699])).
% 72.17/45.04 tff(702,plain,
% 72.17/45.04 (v102(constB4) | v104(constB4)),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[701, 349, 686])).
% 72.17/45.04 tff(703,plain,
% 72.17/45.04 (v102(constB4)),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[702, 698])).
% 72.17/45.04 tff(704,plain,
% 72.17/45.04 (v1(constB4) <=> v1(constB4)),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(705,axiom,(v1(constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_4_1')).
% 72.17/45.04 tff(706,plain,
% 72.17/45.04 (v1(constB4)),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[705, 704])).
% 72.17/45.04 tff(707,plain,
% 72.17/45.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(708,plain,
% 72.17/45.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))),
% 72.17/45.04 inference(quant_inst,[status(thm)],[])).
% 72.17/45.04 tff(709,plain,
% 72.17/45.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[708, 707])).
% 72.17/45.04 tff(710,plain,
% 72.17/45.04 (v101(constB4) | (~v102(constB4))),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[709, 367, 686, 706])).
% 72.17/45.04 tff(711,plain,
% 72.17/45.04 (v101(constB4)),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[710, 703])).
% 72.17/45.04 tff(712,plain,
% 72.17/45.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(713,plain,
% 72.17/45.04 (((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4)) <=> ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(714,plain,
% 72.17/45.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4))))),
% 72.17/45.04 inference(monotonicity,[status(thm)],[713])).
% 72.17/45.04 tff(715,plain,
% 72.17/45.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 72.17/45.04 inference(transitivity,[status(thm)],[714, 712])).
% 72.17/45.04 tff(716,plain,
% 72.17/45.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))),
% 72.17/45.04 inference(quant_inst,[status(thm)],[])).
% 72.17/45.04 tff(717,plain,
% 72.17/45.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[716, 715])).
% 72.17/45.04 tff(718,plain,
% 72.17/45.04 (v100(constB4) | (~v101(constB4)) | (~v110(constB4))),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[717, 382, 686])).
% 72.17/45.04 tff(719,plain,
% 72.17/45.04 (v100(constB4) | (~v110(constB4))),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[718, 711])).
% 72.17/45.04 tff(720,plain,
% 72.17/45.04 (v100(constB4)),
% 72.17/45.04 inference(unit_resolution,[status(thm)],[719, 694])).
% 72.17/45.04 tff(721,plain,
% 72.17/45.04 (^[VarCurr: $i] : refl(((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 72.17/45.04 inference(bind,[status(th)],[])).
% 72.17/45.04 tff(722,plain,
% 72.17/45.04 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.17/45.04 inference(quant_intro,[status(thm)],[721])).
% 72.17/45.04 tff(723,plain,
% 72.17/45.04 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(724,plain,
% 72.17/45.04 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 72.17/45.04 inference(bind,[status(th)],[])).
% 72.17/45.04 tff(725,plain,
% 72.17/45.04 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.17/45.04 inference(quant_intro,[status(thm)],[724])).
% 72.17/45.04 tff(726,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_6_3')).
% 72.17/45.04 tff(727,plain,
% 72.17/45.04 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[726, 725])).
% 72.17/45.04 tff(728,plain,
% 72.17/45.04 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[727, 723])).
% 72.17/45.04 tff(729,plain,(
% 72.17/45.04 ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.17/45.04 inference(skolemize,[status(sab)],[728])).
% 72.17/45.04 tff(730,plain,
% 72.17/45.04 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.17/45.04 inference(modus_ponens,[status(thm)],[729, 722])).
% 72.17/45.04 tff(731,plain,
% 72.17/45.04 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB3)) | (~v130(constB3, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB3)) | (~v130(constB3, bitIndex2)))),
% 72.17/45.04 inference(rewrite,[status(thm)],[])).
% 72.17/45.04 tff(732,plain,
% 72.17/45.04 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB3)) | (~v130(constB3, bitIndex2)))),
% 72.17/45.05 inference(quant_inst,[status(thm)],[])).
% 72.17/45.05 tff(733,plain,
% 72.17/45.05 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB3)) | (~v130(constB3, bitIndex2))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[732, 731])).
% 72.17/45.05 tff(734,plain,
% 72.17/45.05 (~v130(constB3, bitIndex2)),
% 72.17/45.05 inference(unit_resolution,[status(thm)],[733, 730, 639])).
% 72.17/45.05 tff(735,assumption,(v127(constB3, bitIndex2)), introduced(assumption)).
% 72.17/45.05 tff(736,assumption,(~v130(constB3, bitIndex2)), introduced(assumption)).
% 72.17/45.05 tff(737,plain,
% 72.17/45.05 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(738,plain,
% 72.17/45.05 ((v26(constB3) | v130(constB3, bitIndex2) | (~v127(constB3, bitIndex2))) <=> ((~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(739,plain,
% 72.17/45.05 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB3) | v130(constB3, bitIndex2) | (~v127(constB3, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2)))),
% 72.17/45.05 inference(monotonicity,[status(thm)],[738])).
% 72.17/45.05 tff(740,plain,
% 72.17/45.05 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB3) | v130(constB3, bitIndex2) | (~v127(constB3, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2))),
% 72.17/45.05 inference(transitivity,[status(thm)],[739, 737])).
% 72.17/45.05 tff(741,plain,
% 72.17/45.05 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB3) | v130(constB3, bitIndex2) | (~v127(constB3, bitIndex2)))),
% 72.17/45.05 inference(quant_inst,[status(thm)],[])).
% 72.17/45.05 tff(742,plain,
% 72.17/45.05 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB3, bitIndex2)) | v26(constB3) | v130(constB3, bitIndex2)),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[741, 740])).
% 72.17/45.05 tff(743,plain,
% 72.17/45.05 ((~v127(constB3, bitIndex2)) | v26(constB3)),
% 72.17/45.05 inference(unit_resolution,[status(thm)],[742, 470, 736])).
% 72.17/45.05 tff(744,plain,
% 72.17/45.05 (v26(constB3)),
% 72.17/45.05 inference(unit_resolution,[status(thm)],[743, 735])).
% 72.17/45.05 tff(745,plain,
% 72.17/45.05 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))))),
% 72.17/45.05 inference(bind,[status(th)],[])).
% 72.17/45.05 tff(746,plain,
% 72.17/45.05 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 72.17/45.05 inference(quant_intro,[status(thm)],[745])).
% 72.17/45.05 tff(747,plain,
% 72.17/45.05 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(748,plain,
% 72.17/45.05 (^[VarCurr: $i] : rewrite(((~v127(VarCurr, bitIndex2)) | (~v26(VarCurr))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))))),
% 72.17/45.05 inference(bind,[status(th)],[])).
% 72.17/45.05 tff(749,plain,
% 72.17/45.05 (![VarCurr: $i] : ((~v127(VarCurr, bitIndex2)) | (~v26(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 72.17/45.05 inference(quant_intro,[status(thm)],[748])).
% 72.17/45.05 tff(750,axiom,(![VarCurr: $i] : ((~v127(VarCurr, bitIndex2)) | (~v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_3')).
% 72.17/45.05 tff(751,plain,
% 72.17/45.05 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[750, 749])).
% 72.17/45.05 tff(752,plain,
% 72.17/45.05 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[751, 747])).
% 72.17/45.05 tff(753,plain,(
% 72.17/45.05 ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 72.17/45.05 inference(skolemize,[status(sab)],[752])).
% 72.17/45.05 tff(754,plain,
% 72.17/45.05 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[753, 746])).
% 72.17/45.05 tff(755,plain,
% 72.17/45.05 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB3)) | (~v127(constB3, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB3)) | (~v127(constB3, bitIndex2)))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(756,plain,
% 72.17/45.05 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB3)) | (~v127(constB3, bitIndex2)))),
% 72.17/45.05 inference(quant_inst,[status(thm)],[])).
% 72.17/45.05 tff(757,plain,
% 72.17/45.05 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB3)) | (~v127(constB3, bitIndex2))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[756, 755])).
% 72.17/45.05 tff(758,plain,
% 72.17/45.05 ($false),
% 72.17/45.05 inference(unit_resolution,[status(thm)],[757, 754, 735, 744])).
% 72.17/45.05 tff(759,plain,((~v127(constB3, bitIndex2)) | v130(constB3, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 72.17/45.05 tff(760,plain,
% 72.17/45.05 (~v127(constB3, bitIndex2)),
% 72.17/45.05 inference(unit_resolution,[status(thm)],[759, 734])).
% 72.17/45.05 tff(761,plain,
% 72.17/45.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex2) | (~v129(constB4, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex2) | (~v129(constB4, bitIndex2)))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(762,plain,
% 72.17/45.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex2) | (~v129(constB4, bitIndex2)))),
% 72.17/45.05 inference(quant_inst,[status(thm)],[])).
% 72.17/45.05 tff(763,plain,
% 72.17/45.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex2) | (~v129(constB4, bitIndex2))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[762, 761])).
% 72.17/45.05 tff(764,plain,
% 72.17/45.05 (v127(constB3, bitIndex2) | (~v129(constB4, bitIndex2))),
% 72.17/45.05 inference(unit_resolution,[status(thm)],[763, 488, 686])).
% 72.17/45.05 tff(765,plain,
% 72.17/45.05 (~v129(constB4, bitIndex2)),
% 72.17/45.05 inference(unit_resolution,[status(thm)],[764, 760])).
% 72.17/45.05 tff(766,plain,
% 72.17/45.05 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2) | (~v100(constB4)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2) | (~v100(constB4)))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(767,plain,
% 72.17/45.05 (((~v90(constB4, bitIndex2)) | (~v100(constB4)) | v129(constB4, bitIndex2)) <=> ((~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2) | (~v100(constB4)))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(768,plain,
% 72.17/45.05 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB4, bitIndex2)) | (~v100(constB4)) | v129(constB4, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2) | (~v100(constB4))))),
% 72.17/45.05 inference(monotonicity,[status(thm)],[767])).
% 72.17/45.05 tff(769,plain,
% 72.17/45.05 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB4, bitIndex2)) | (~v100(constB4)) | v129(constB4, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2) | (~v100(constB4)))),
% 72.17/45.05 inference(transitivity,[status(thm)],[768, 766])).
% 72.17/45.05 tff(770,plain,
% 72.17/45.05 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB4, bitIndex2)) | (~v100(constB4)) | v129(constB4, bitIndex2))),
% 72.17/45.05 inference(quant_inst,[status(thm)],[])).
% 72.17/45.05 tff(771,plain,
% 72.17/45.05 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2) | (~v100(constB4))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[770, 769])).
% 72.17/45.05 tff(772,plain,
% 72.17/45.05 ((~v90(constB4, bitIndex2)) | (~v100(constB4))),
% 72.17/45.05 inference(unit_resolution,[status(thm)],[771, 503, 765])).
% 72.17/45.05 tff(773,plain,
% 72.17/45.05 (~v90(constB4, bitIndex2)),
% 72.17/45.05 inference(unit_resolution,[status(thm)],[772, 720])).
% 72.17/45.05 tff(774,plain,
% 72.17/45.05 ((~v1(constB5)) <=> (~v1(constB5))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(775,axiom,(~v1(constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_5_1_1')).
% 72.17/45.05 tff(776,plain,
% 72.17/45.05 (~v1(constB5)),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[775, 774])).
% 72.17/45.05 tff(777,plain,
% 72.17/45.05 (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(778,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_4_1')).
% 72.17/45.05 tff(779,plain,
% 72.17/45.05 (nextState(constB4, constB5)),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[778, 777])).
% 72.17/45.05 tff(780,plain,
% 72.17/45.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(781,plain,
% 72.17/45.05 (((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5)) <=> (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(782,plain,
% 72.17/45.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5))))),
% 72.17/45.05 inference(monotonicity,[status(thm)],[781])).
% 72.17/45.05 tff(783,plain,
% 72.17/45.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 72.17/45.05 inference(transitivity,[status(thm)],[782, 780])).
% 72.17/45.05 tff(784,plain,
% 72.17/45.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))),
% 72.17/45.05 inference(quant_inst,[status(thm)],[])).
% 72.17/45.05 tff(785,plain,
% 72.17/45.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[784, 783])).
% 72.17/45.05 tff(786,plain,
% 72.17/45.05 (~v101(constB5)),
% 72.17/45.05 inference(unit_resolution,[status(thm)],[785, 56, 779, 776])).
% 72.17/45.05 tff(787,plain,
% 72.17/45.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(788,plain,
% 72.17/45.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))),
% 72.17/45.05 inference(quant_inst,[status(thm)],[])).
% 72.17/45.05 tff(789,plain,
% 72.17/45.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[788, 787])).
% 72.17/45.05 tff(790,plain,
% 72.17/45.05 (v101(constB5) | (~v100(constB5))),
% 72.17/45.05 inference(unit_resolution,[status(thm)],[789, 73, 779])).
% 72.17/45.05 tff(791,plain,
% 72.17/45.05 (~v100(constB5)),
% 72.17/45.05 inference(unit_resolution,[status(thm)],[790, 786])).
% 72.17/45.05 tff(792,plain,
% 72.17/45.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex2)))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(793,plain,
% 72.17/45.05 (((~nextState(constB4, constB5)) | v90(constB4, bitIndex2) | v100(constB5) | (~v90(constB5, bitIndex2))) <=> (v90(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex2)))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(794,plain,
% 72.17/45.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex2) | v100(constB5) | (~v90(constB5, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex2))))),
% 72.17/45.05 inference(monotonicity,[status(thm)],[793])).
% 72.17/45.05 tff(795,plain,
% 72.17/45.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex2) | v100(constB5) | (~v90(constB5, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex2)))),
% 72.17/45.05 inference(transitivity,[status(thm)],[794, 792])).
% 72.17/45.05 tff(796,plain,
% 72.17/45.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex2) | v100(constB5) | (~v90(constB5, bitIndex2)))),
% 72.17/45.05 inference(quant_inst,[status(thm)],[])).
% 72.17/45.05 tff(797,plain,
% 72.17/45.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex2))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[796, 795])).
% 72.17/45.05 tff(798,plain,
% 72.17/45.05 (v90(constB4, bitIndex2) | v100(constB5) | (~v90(constB5, bitIndex2))),
% 72.17/45.05 inference(unit_resolution,[status(thm)],[797, 88, 779])).
% 72.17/45.05 tff(799,plain,
% 72.17/45.05 (v90(constB4, bitIndex2) | (~v90(constB5, bitIndex2))),
% 72.17/45.05 inference(unit_resolution,[status(thm)],[798, 791])).
% 72.17/45.05 tff(800,plain,
% 72.17/45.05 (~v90(constB5, bitIndex2)),
% 72.17/45.05 inference(unit_resolution,[status(thm)],[799, 773])).
% 72.17/45.05 tff(801,plain,
% 72.17/45.05 (^[VarCurr: $i] : refl(((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 72.17/45.05 inference(bind,[status(th)],[])).
% 72.17/45.05 tff(802,plain,
% 72.17/45.05 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.17/45.05 inference(quant_intro,[status(thm)],[801])).
% 72.17/45.05 tff(803,plain,
% 72.17/45.05 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(804,plain,
% 72.17/45.05 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex1) | (~v120(VarCurr))) <=> ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 72.17/45.05 inference(bind,[status(th)],[])).
% 72.17/45.05 tff(805,plain,
% 72.17/45.05 (![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.17/45.05 inference(quant_intro,[status(thm)],[804])).
% 72.17/45.05 tff(806,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_6_2')).
% 72.17/45.05 tff(807,plain,
% 72.17/45.05 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[806, 805])).
% 72.17/45.05 tff(808,plain,
% 72.17/45.05 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[807, 803])).
% 72.17/45.05 tff(809,plain,(
% 72.17/45.05 ![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.17/45.05 inference(skolemize,[status(sab)],[808])).
% 72.17/45.05 tff(810,plain,
% 72.17/45.05 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[809, 802])).
% 72.17/45.05 tff(811,plain,
% 72.17/45.05 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB3)) | v130(constB3, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB3)) | v130(constB3, bitIndex1))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(812,plain,
% 72.17/45.05 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB3)) | v130(constB3, bitIndex1))),
% 72.17/45.05 inference(quant_inst,[status(thm)],[])).
% 72.17/45.05 tff(813,plain,
% 72.17/45.05 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB3)) | v130(constB3, bitIndex1)),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[812, 811])).
% 72.17/45.05 tff(814,plain,
% 72.17/45.05 (v130(constB3, bitIndex1)),
% 72.17/45.05 inference(unit_resolution,[status(thm)],[813, 810, 639])).
% 72.17/45.05 tff(815,plain,
% 72.17/45.05 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)))),
% 72.17/45.05 inference(bind,[status(th)],[])).
% 72.17/45.05 tff(816,plain,
% 72.17/45.05 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 72.17/45.05 inference(quant_intro,[status(thm)],[815])).
% 72.17/45.05 tff(817,plain,
% 72.17/45.05 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(818,plain,
% 72.17/45.05 (^[VarCurr: $i] : trans(monotonicity(rewrite((v127(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex1))) <=> ((~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))), (((v127(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex1))) | v26(VarCurr)) <=> (((~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) | v26(VarCurr)))), rewrite((((~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) | v26(VarCurr)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))), (((v127(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex1))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))))),
% 72.17/45.05 inference(bind,[status(th)],[])).
% 72.17/45.05 tff(819,plain,
% 72.17/45.05 (![VarCurr: $i] : ((v127(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex1))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 72.17/45.05 inference(quant_intro,[status(thm)],[818])).
% 72.17/45.05 tff(820,axiom,(![VarCurr: $i] : ((v127(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex1))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_3')).
% 72.17/45.05 tff(821,plain,
% 72.17/45.05 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[820, 819])).
% 72.17/45.05 tff(822,plain,
% 72.17/45.05 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[821, 817])).
% 72.17/45.05 tff(823,plain,(
% 72.17/45.05 ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 72.17/45.05 inference(skolemize,[status(sab)],[822])).
% 72.17/45.05 tff(824,plain,
% 72.17/45.05 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[823, 816])).
% 72.17/45.05 tff(825,plain,
% 72.17/45.05 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(826,plain,
% 72.17/45.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1))),
% 72.17/45.05 inference(quant_inst,[status(thm)],[])).
% 72.17/45.05 tff(827,plain,
% 72.17/45.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1)),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[826, 825])).
% 72.17/45.05 tff(828,plain,
% 72.17/45.05 ((~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1)),
% 72.17/45.05 inference(unit_resolution,[status(thm)],[827, 824, 674])).
% 72.17/45.05 tff(829,plain,
% 72.17/45.05 (v127(constB3, bitIndex1)),
% 72.17/45.05 inference(unit_resolution,[status(thm)],[828, 814])).
% 72.17/45.05 tff(830,plain,
% 72.17/45.05 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)))),
% 72.17/45.05 inference(bind,[status(th)],[])).
% 72.17/45.05 tff(831,plain,
% 72.17/45.05 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 72.17/45.05 inference(quant_intro,[status(thm)],[830])).
% 72.17/45.05 tff(832,plain,
% 72.17/45.05 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(833,plain,
% 72.17/45.05 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v129(VarNext, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> ((~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))), (((v129(VarNext, bitIndex1) | (~v127(VarCurr, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> (((~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))), (((v129(VarNext, bitIndex1) | (~v127(VarCurr, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))))),
% 72.17/45.05 inference(bind,[status(th)],[])).
% 72.17/45.05 tff(834,plain,
% 72.17/45.05 (![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex1) | (~v127(VarCurr, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 72.17/45.05 inference(quant_intro,[status(thm)],[833])).
% 72.17/45.05 tff(835,axiom,(![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex1) | (~v127(VarCurr, bitIndex1))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_3')).
% 72.17/45.05 tff(836,plain,
% 72.17/45.05 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[835, 834])).
% 72.17/45.05 tff(837,plain,
% 72.17/45.05 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[836, 832])).
% 72.17/45.05 tff(838,plain,(
% 72.17/45.05 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 72.17/45.05 inference(skolemize,[status(sab)],[837])).
% 72.17/45.05 tff(839,plain,
% 72.17/45.05 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[838, 831])).
% 72.17/45.05 tff(840,plain,
% 72.17/45.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(841,plain,
% 72.17/45.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1))),
% 72.17/45.05 inference(quant_inst,[status(thm)],[])).
% 72.17/45.05 tff(842,plain,
% 72.17/45.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1)),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[841, 840])).
% 72.17/45.05 tff(843,plain,
% 72.17/45.05 ((~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1)),
% 72.17/45.05 inference(unit_resolution,[status(thm)],[842, 839, 686])).
% 72.17/45.05 tff(844,plain,
% 72.17/45.05 (v129(constB4, bitIndex1)),
% 72.17/45.05 inference(unit_resolution,[status(thm)],[843, 829])).
% 72.17/45.05 tff(845,plain,
% 72.17/45.05 (^[VarNext: $i] : refl((v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))))),
% 72.17/45.05 inference(bind,[status(th)],[])).
% 72.17/45.05 tff(846,plain,
% 72.17/45.05 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 72.17/45.05 inference(quant_intro,[status(thm)],[845])).
% 72.17/45.05 tff(847,plain,
% 72.17/45.05 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(848,plain,
% 72.17/45.05 (^[VarNext: $i] : trans(monotonicity(rewrite((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> (v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1)))), (((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext))) <=> ((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext))))), rewrite(((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext))) <=> (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))), (((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext))) <=> (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))))),
% 72.17/45.05 inference(bind,[status(th)],[])).
% 72.17/45.05 tff(849,plain,
% 72.17/45.05 (![VarNext: $i] : ((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 72.17/45.05 inference(quant_intro,[status(thm)],[848])).
% 72.17/45.05 tff(850,axiom,(![VarNext: $i] : ((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_3')).
% 72.17/45.05 tff(851,plain,
% 72.17/45.05 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[850, 849])).
% 72.17/45.05 tff(852,plain,
% 72.17/45.05 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[851, 847])).
% 72.17/45.05 tff(853,plain,(
% 72.17/45.05 ![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 72.17/45.05 inference(skolemize,[status(sab)],[852])).
% 72.17/45.05 tff(854,plain,
% 72.17/45.05 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[853, 846])).
% 72.17/45.05 tff(855,plain,
% 72.17/45.05 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(856,plain,
% 72.17/45.05 ((v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1))) <=> (v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(857,plain,
% 72.17/45.05 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4))))),
% 72.17/45.05 inference(monotonicity,[status(thm)],[856])).
% 72.17/45.05 tff(858,plain,
% 72.17/45.05 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))),
% 72.17/45.05 inference(transitivity,[status(thm)],[857, 855])).
% 72.17/45.05 tff(859,plain,
% 72.17/45.05 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1)))),
% 72.17/45.05 inference(quant_inst,[status(thm)],[])).
% 72.17/45.05 tff(860,plain,
% 72.17/45.05 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[859, 858])).
% 72.17/45.05 tff(861,plain,
% 72.17/45.05 (v90(constB4, bitIndex1) | (~v100(constB4))),
% 72.17/45.05 inference(unit_resolution,[status(thm)],[860, 854, 844])).
% 72.17/45.05 tff(862,plain,
% 72.17/45.05 (v90(constB4, bitIndex1)),
% 72.17/45.05 inference(unit_resolution,[status(thm)],[861, 720])).
% 72.17/45.05 tff(863,plain,
% 72.17/45.05 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)))),
% 72.17/45.05 inference(bind,[status(th)],[])).
% 72.17/45.05 tff(864,plain,
% 72.17/45.05 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 72.17/45.05 inference(quant_intro,[status(thm)],[863])).
% 72.17/45.05 tff(865,plain,
% 72.17/45.05 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(866,plain,
% 72.17/45.05 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) <=> ((~v90(VarCurr, bitIndex1)) | v90(VarNext, bitIndex1))), (((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) | v100(VarNext)) <=> (((~v90(VarCurr, bitIndex1)) | v90(VarNext, bitIndex1)) | v100(VarNext)))), rewrite((((~v90(VarCurr, bitIndex1)) | v90(VarNext, bitIndex1)) | v100(VarNext)) <=> ((~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))), (((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) | v100(VarNext)) <=> ((~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)))), ((((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (((~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))), ((((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))))),
% 72.17/45.05 inference(bind,[status(th)],[])).
% 72.17/45.05 tff(867,plain,
% 72.17/45.05 (![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 72.17/45.05 inference(quant_intro,[status(thm)],[866])).
% 72.17/45.05 tff(868,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex1) | (~v90(VarCurr, bitIndex1))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_3')).
% 72.17/45.05 tff(869,plain,
% 72.17/45.05 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[868, 867])).
% 72.17/45.05 tff(870,plain,
% 72.17/45.05 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[869, 865])).
% 72.17/45.05 tff(871,plain,(
% 72.17/45.05 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 72.17/45.05 inference(skolemize,[status(sab)],[870])).
% 72.17/45.05 tff(872,plain,
% 72.17/45.05 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[871, 864])).
% 72.17/45.05 tff(873,plain,
% 72.17/45.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(874,plain,
% 72.17/45.05 (((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1)) <=> ((~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(875,plain,
% 72.17/45.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1)))),
% 72.17/45.05 inference(monotonicity,[status(thm)],[874])).
% 72.17/45.05 tff(876,plain,
% 72.17/45.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))),
% 72.17/45.05 inference(transitivity,[status(thm)],[875, 873])).
% 72.17/45.05 tff(877,plain,
% 72.17/45.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1))),
% 72.17/45.05 inference(quant_inst,[status(thm)],[])).
% 72.17/45.05 tff(878,plain,
% 72.17/45.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1)),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[877, 876])).
% 72.17/45.05 tff(879,plain,
% 72.17/45.05 ((~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1)),
% 72.17/45.05 inference(unit_resolution,[status(thm)],[878, 872, 779])).
% 72.17/45.05 tff(880,plain,
% 72.17/45.05 ((~v90(constB4, bitIndex1)) | v90(constB5, bitIndex1)),
% 72.17/45.05 inference(unit_resolution,[status(thm)],[879, 791])).
% 72.17/45.05 tff(881,plain,
% 72.17/45.05 (v90(constB5, bitIndex1)),
% 72.17/45.05 inference(unit_resolution,[status(thm)],[880, 862])).
% 72.17/45.05 tff(882,plain,
% 72.17/45.05 (^[VarCurr: $i] : refl(((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 72.17/45.05 inference(bind,[status(th)],[])).
% 72.17/45.05 tff(883,plain,
% 72.17/45.05 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.17/45.05 inference(quant_intro,[status(thm)],[882])).
% 72.17/45.05 tff(884,plain,
% 72.17/45.05 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(885,plain,
% 72.17/45.05 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex0)) | (~v120(VarCurr))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 72.17/45.05 inference(bind,[status(th)],[])).
% 72.17/45.05 tff(886,plain,
% 72.17/45.05 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.17/45.05 inference(quant_intro,[status(thm)],[885])).
% 72.17/45.05 tff(887,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_6_1')).
% 72.17/45.05 tff(888,plain,
% 72.17/45.05 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[887, 886])).
% 72.17/45.05 tff(889,plain,
% 72.17/45.05 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[888, 884])).
% 72.17/45.05 tff(890,plain,(
% 72.17/45.05 ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.17/45.05 inference(skolemize,[status(sab)],[889])).
% 72.17/45.05 tff(891,plain,
% 72.17/45.05 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[890, 883])).
% 72.17/45.05 tff(892,plain,
% 72.17/45.05 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB3)) | (~v130(constB3, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB3)) | (~v130(constB3, bitIndex0)))),
% 72.17/45.05 inference(rewrite,[status(thm)],[])).
% 72.17/45.05 tff(893,plain,
% 72.17/45.05 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB3)) | (~v130(constB3, bitIndex0)))),
% 72.17/45.05 inference(quant_inst,[status(thm)],[])).
% 72.17/45.05 tff(894,plain,
% 72.17/45.05 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB3)) | (~v130(constB3, bitIndex0))),
% 72.17/45.05 inference(modus_ponens,[status(thm)],[893, 892])).
% 72.17/45.05 tff(895,plain,
% 72.17/45.05 (~v130(constB3, bitIndex0)),
% 72.17/45.05 inference(unit_resolution,[status(thm)],[894, 891, 639])).
% 72.17/45.05 tff(896,plain,
% 72.17/45.05 (^[VarCurr: $i] : refl((v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))))),
% 72.17/45.05 inference(bind,[status(th)],[])).
% 72.17/45.05 tff(897,plain,
% 72.17/45.05 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 72.17/45.05 inference(quant_intro,[status(thm)],[896])).
% 72.17/45.05 tff(898,plain,
% 72.17/45.05 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(899,plain,
% 72.17/45.06 (^[VarCurr: $i] : trans(monotonicity(rewrite((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> (v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))), (((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr)) <=> ((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr)))), rewrite(((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))), (((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr)) <=> (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))))),
% 72.17/45.06 inference(bind,[status(th)],[])).
% 72.17/45.06 tff(900,plain,
% 72.17/45.06 (![VarCurr: $i] : ((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 72.17/45.06 inference(quant_intro,[status(thm)],[899])).
% 72.17/45.06 tff(901,axiom,(![VarCurr: $i] : ((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_2')).
% 72.17/45.06 tff(902,plain,
% 72.17/45.06 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[901, 900])).
% 72.17/45.06 tff(903,plain,
% 72.17/45.06 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[902, 898])).
% 72.17/45.06 tff(904,plain,(
% 72.17/45.06 ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 72.17/45.06 inference(skolemize,[status(sab)],[903])).
% 72.17/45.06 tff(905,plain,
% 72.17/45.06 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[904, 897])).
% 72.17/45.06 tff(906,plain,
% 72.17/45.06 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(907,plain,
% 72.17/45.06 ((v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0))) <=> ((~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(908,plain,
% 72.17/45.06 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0)))),
% 72.17/45.06 inference(monotonicity,[status(thm)],[907])).
% 72.17/45.06 tff(909,plain,
% 72.17/45.06 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))),
% 72.17/45.06 inference(transitivity,[status(thm)],[908, 906])).
% 72.17/45.06 tff(910,plain,
% 72.17/45.06 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0)))),
% 72.17/45.06 inference(quant_inst,[status(thm)],[])).
% 72.17/45.06 tff(911,plain,
% 72.17/45.06 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0)),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[910, 909])).
% 72.17/45.06 tff(912,plain,
% 72.17/45.06 ((~v127(constB3, bitIndex0)) | v130(constB3, bitIndex0)),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[911, 905, 674])).
% 72.17/45.06 tff(913,plain,
% 72.17/45.06 (~v127(constB3, bitIndex0)),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[912, 895])).
% 72.17/45.06 tff(914,plain,
% 72.17/45.06 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))))),
% 72.17/45.06 inference(bind,[status(th)],[])).
% 72.17/45.06 tff(915,plain,
% 72.17/45.06 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 72.17/45.06 inference(quant_intro,[status(thm)],[914])).
% 72.17/45.06 tff(916,plain,
% 72.17/45.06 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(917,plain,
% 72.17/45.06 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> (v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))), (((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))))), rewrite(((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))), (((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))))),
% 72.17/45.06 inference(bind,[status(th)],[])).
% 72.17/45.06 tff(918,plain,
% 72.17/45.06 (![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 72.17/45.06 inference(quant_intro,[status(thm)],[917])).
% 72.17/45.06 tff(919,axiom,(![VarNext: $i, VarCurr: $i] : ((v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_2')).
% 72.17/45.06 tff(920,plain,
% 72.17/45.06 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[919, 918])).
% 72.17/45.06 tff(921,plain,
% 72.17/45.06 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[920, 916])).
% 72.17/45.06 tff(922,plain,(
% 72.17/45.06 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 72.17/45.06 inference(skolemize,[status(sab)],[921])).
% 72.17/45.06 tff(923,plain,
% 72.17/45.06 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[922, 915])).
% 72.17/45.06 tff(924,plain,
% 72.17/45.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0)))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(925,plain,
% 72.17/45.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0)))),
% 72.17/45.06 inference(quant_inst,[status(thm)],[])).
% 72.17/45.06 tff(926,plain,
% 72.17/45.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[925, 924])).
% 72.17/45.06 tff(927,plain,
% 72.17/45.06 (v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0))),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[926, 923, 686])).
% 72.17/45.06 tff(928,plain,
% 72.17/45.06 (~v129(constB4, bitIndex0)),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[927, 913])).
% 72.17/45.06 tff(929,plain,
% 72.17/45.06 (^[VarNext: $i] : refl(((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)))),
% 72.17/45.06 inference(bind,[status(th)],[])).
% 72.17/45.06 tff(930,plain,
% 72.17/45.06 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 72.17/45.06 inference(quant_intro,[status(thm)],[929])).
% 72.17/45.06 tff(931,plain,
% 72.17/45.06 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(932,plain,
% 72.17/45.06 (^[VarNext: $i] : trans(monotonicity(rewrite((v129(VarNext, bitIndex0) | (~v90(VarNext, bitIndex0))) <=> ((~v90(VarNext, bitIndex0)) | v129(VarNext, bitIndex0))), (((v129(VarNext, bitIndex0) | (~v90(VarNext, bitIndex0))) | (~v100(VarNext))) <=> (((~v90(VarNext, bitIndex0)) | v129(VarNext, bitIndex0)) | (~v100(VarNext))))), rewrite((((~v90(VarNext, bitIndex0)) | v129(VarNext, bitIndex0)) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))), (((v129(VarNext, bitIndex0) | (~v90(VarNext, bitIndex0))) | (~v100(VarNext))) <=> ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))))),
% 72.17/45.06 inference(bind,[status(th)],[])).
% 72.17/45.06 tff(933,plain,
% 72.17/45.06 (![VarNext: $i] : ((v129(VarNext, bitIndex0) | (~v90(VarNext, bitIndex0))) | (~v100(VarNext))) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 72.17/45.06 inference(quant_intro,[status(thm)],[932])).
% 72.17/45.06 tff(934,axiom,(![VarNext: $i] : ((v129(VarNext, bitIndex0) | (~v90(VarNext, bitIndex0))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_2')).
% 72.17/45.06 tff(935,plain,
% 72.17/45.06 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[934, 933])).
% 72.17/45.06 tff(936,plain,
% 72.17/45.06 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[935, 931])).
% 72.17/45.06 tff(937,plain,(
% 72.17/45.06 ![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 72.17/45.06 inference(skolemize,[status(sab)],[936])).
% 72.17/45.06 tff(938,plain,
% 72.17/45.06 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[937, 930])).
% 72.17/45.06 tff(939,plain,
% 72.17/45.06 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(940,plain,
% 72.17/45.06 (((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0)) <=> ((~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(941,plain,
% 72.17/45.06 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4))))),
% 72.17/45.06 inference(monotonicity,[status(thm)],[940])).
% 72.17/45.06 tff(942,plain,
% 72.17/45.06 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))),
% 72.17/45.06 inference(transitivity,[status(thm)],[941, 939])).
% 72.17/45.06 tff(943,plain,
% 72.17/45.06 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0))),
% 72.17/45.06 inference(quant_inst,[status(thm)],[])).
% 72.17/45.06 tff(944,plain,
% 72.17/45.06 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[943, 942])).
% 72.17/45.06 tff(945,plain,
% 72.17/45.06 ((~v90(constB4, bitIndex0)) | (~v100(constB4))),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[944, 938, 928])).
% 72.17/45.06 tff(946,plain,
% 72.17/45.06 (~v90(constB4, bitIndex0)),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[945, 720])).
% 72.17/45.06 tff(947,plain,
% 72.17/45.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(948,plain,
% 72.17/45.06 (((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0))) <=> (v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(949,plain,
% 72.17/45.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0))))),
% 72.17/45.06 inference(monotonicity,[status(thm)],[948])).
% 72.17/45.06 tff(950,plain,
% 72.17/45.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 72.17/45.06 inference(transitivity,[status(thm)],[949, 947])).
% 72.17/45.06 tff(951,plain,
% 72.17/45.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 72.17/45.06 inference(quant_inst,[status(thm)],[])).
% 72.17/45.06 tff(952,plain,
% 72.17/45.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[951, 950])).
% 72.17/45.06 tff(953,plain,
% 72.17/45.06 (v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0))),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[952, 130, 779])).
% 72.17/45.06 tff(954,plain,
% 72.17/45.06 (v90(constB4, bitIndex0) | (~v90(constB5, bitIndex0))),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[953, 791])).
% 72.17/45.06 tff(955,plain,
% 72.17/45.06 (~v90(constB5, bitIndex0)),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[954, 946])).
% 72.17/45.06 tff(956,plain,
% 72.17/45.06 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)))),
% 72.17/45.06 inference(bind,[status(th)],[])).
% 72.17/45.06 tff(957,plain,
% 72.17/45.06 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 72.17/45.06 inference(quant_intro,[status(thm)],[956])).
% 72.17/45.06 tff(958,plain,
% 72.17/45.06 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(959,plain,
% 72.17/45.06 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v121(VarCurr) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))), ((((v121(VarCurr) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex0)) <=> (((~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) | v90(VarCurr, bitIndex0)))), rewrite((((~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr)) | v90(VarCurr, bitIndex0)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))), ((((v121(VarCurr) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex0)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))))),
% 72.17/45.06 inference(bind,[status(th)],[])).
% 72.17/45.06 tff(960,plain,
% 72.17/45.06 (![VarCurr: $i] : (((v121(VarCurr) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 72.17/45.06 inference(quant_intro,[status(thm)],[959])).
% 72.17/45.06 tff(961,axiom,(![VarCurr: $i] : (((v121(VarCurr) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex2)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_1')).
% 72.17/45.06 tff(962,plain,
% 72.17/45.06 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[961, 960])).
% 72.17/45.06 tff(963,plain,
% 72.17/45.06 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[962, 958])).
% 72.17/45.06 tff(964,plain,(
% 72.17/45.06 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 72.17/45.06 inference(skolemize,[status(sab)],[963])).
% 72.17/45.06 tff(965,plain,
% 72.17/45.06 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[964, 957])).
% 72.17/45.06 tff(966,plain,
% 72.17/45.06 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex2) | v121(constB5))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex2) | v121(constB5))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(967,plain,
% 72.17/45.06 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex2) | v121(constB5))),
% 72.17/45.06 inference(quant_inst,[status(thm)],[])).
% 72.17/45.06 tff(968,plain,
% 72.17/45.06 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | v90(constB5, bitIndex2) | v121(constB5)),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[967, 966])).
% 72.17/45.06 tff(969,plain,
% 72.17/45.06 (v121(constB5)),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[968, 965, 955, 881, 800])).
% 72.17/45.06 tff(970,plain,
% 72.17/45.06 (^[VarCurr: $i] : refl((v117(VarCurr) | (~v121(VarCurr))) <=> (v117(VarCurr) | (~v121(VarCurr))))),
% 72.17/45.06 inference(bind,[status(th)],[])).
% 72.17/45.06 tff(971,plain,
% 72.17/45.06 (![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 72.17/45.06 inference(quant_intro,[status(thm)],[970])).
% 72.17/45.06 tff(972,plain,
% 72.17/45.06 (![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(973,axiom,(![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_1')).
% 72.17/45.06 tff(974,plain,
% 72.17/45.06 (![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[973, 972])).
% 72.17/45.06 tff(975,plain,(
% 72.17/45.06 ![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 72.17/45.06 inference(skolemize,[status(sab)],[974])).
% 72.17/45.06 tff(976,plain,
% 72.17/45.06 (![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[975, 971])).
% 72.17/45.06 tff(977,plain,
% 72.17/45.06 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB5) | (~v121(constB5)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB5) | (~v121(constB5)))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(978,plain,
% 72.17/45.06 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB5) | (~v121(constB5)))),
% 72.17/45.06 inference(quant_inst,[status(thm)],[])).
% 72.17/45.06 tff(979,plain,
% 72.17/45.06 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB5) | (~v121(constB5))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[978, 977])).
% 72.17/45.06 tff(980,plain,
% 72.17/45.06 (v117(constB5)),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[979, 976, 969])).
% 72.17/45.06 tff(981,plain,
% 72.17/45.06 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB5) | (~v117(constB5)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB5) | (~v117(constB5)))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(982,plain,
% 72.17/45.06 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB5) | (~v117(constB5)))),
% 72.17/45.06 inference(quant_inst,[status(thm)],[])).
% 72.17/45.06 tff(983,plain,
% 72.17/45.06 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB5) | (~v117(constB5))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[982, 981])).
% 72.17/45.06 tff(984,plain,
% 72.17/45.06 (v116(constB5)),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[983, 254, 980])).
% 72.17/45.06 tff(985,plain,
% 72.17/45.06 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB5) | (~v116(constB5)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB5) | (~v116(constB5)))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(986,plain,
% 72.17/45.06 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB5) | (~v116(constB5)))),
% 72.17/45.06 inference(quant_inst,[status(thm)],[])).
% 72.17/45.06 tff(987,plain,
% 72.17/45.06 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB5) | (~v116(constB5))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[986, 985])).
% 72.17/45.06 tff(988,plain,
% 72.17/45.06 (v115(constB5)),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[987, 265, 984])).
% 72.17/45.06 tff(989,plain,
% 72.17/45.06 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB5) | (~v115(constB5)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB5) | (~v115(constB5)))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(990,plain,
% 72.17/45.06 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB5) | (~v115(constB5)))),
% 72.17/45.06 inference(quant_inst,[status(thm)],[])).
% 72.17/45.06 tff(991,plain,
% 72.17/45.06 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB5) | (~v115(constB5))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[990, 989])).
% 72.17/45.06 tff(992,plain,
% 72.17/45.06 (v114(constB5)),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[991, 276, 988])).
% 72.17/45.06 tff(993,plain,
% 72.17/45.06 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB5) | (~v114(constB5)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB5) | (~v114(constB5)))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(994,plain,
% 72.17/45.06 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB5) | (~v114(constB5)))),
% 72.17/45.06 inference(quant_inst,[status(thm)],[])).
% 72.17/45.06 tff(995,plain,
% 72.17/45.06 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB5) | (~v114(constB5))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[994, 993])).
% 72.17/45.06 tff(996,plain,
% 72.17/45.06 (v113(constB5)),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[995, 287, 992])).
% 72.17/45.06 tff(997,assumption,(v26(constB5)), introduced(assumption)).
% 72.17/45.06 tff(998,plain,
% 72.17/45.06 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB5))),
% 72.17/45.06 inference(quant_inst,[status(thm)],[])).
% 72.17/45.06 tff(999,plain,
% 72.17/45.06 ($false),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[998, 37, 997])).
% 72.17/45.06 tff(1000,plain,(~v26(constB5)), inference(lemma,lemma(discharge,[]))).
% 72.17/45.06 tff(1001,plain,
% 72.17/45.06 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | v112(constB5) | (~v113(constB5)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | v112(constB5) | (~v113(constB5)))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(1002,plain,
% 72.17/45.06 ((v26(constB5) | (~v113(constB5)) | v112(constB5)) <=> (v26(constB5) | v112(constB5) | (~v113(constB5)))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(1003,plain,
% 72.17/45.06 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | v112(constB5) | (~v113(constB5))))),
% 72.17/45.06 inference(monotonicity,[status(thm)],[1002])).
% 72.17/45.06 tff(1004,plain,
% 72.17/45.06 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | v112(constB5) | (~v113(constB5)))),
% 72.17/45.06 inference(transitivity,[status(thm)],[1003, 1001])).
% 72.17/45.06 tff(1005,plain,
% 72.17/45.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))),
% 72.17/45.06 inference(quant_inst,[status(thm)],[])).
% 72.17/45.06 tff(1006,plain,
% 72.17/45.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | v112(constB5) | (~v113(constB5))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[1005, 1004])).
% 72.17/45.06 tff(1007,plain,
% 72.17/45.06 (v112(constB5) | (~v113(constB5))),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[1006, 301, 1000])).
% 72.17/45.06 tff(1008,plain,
% 72.17/45.06 (v112(constB5)),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[1007, 996])).
% 72.17/45.06 tff(1009,plain,
% 72.17/45.06 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB5) | (~v112(constB5)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB5) | (~v112(constB5)))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(1010,plain,
% 72.17/45.06 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB5) | (~v112(constB5)))),
% 72.17/45.06 inference(quant_inst,[status(thm)],[])).
% 72.17/45.06 tff(1011,plain,
% 72.17/45.06 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB5) | (~v112(constB5))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[1010, 1009])).
% 72.17/45.06 tff(1012,plain,
% 72.17/45.06 (v108(constB5)),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[1011, 210, 1008])).
% 72.17/45.06 tff(1013,plain,
% 72.17/45.06 (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(1014,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_5_1')).
% 72.17/45.06 tff(1015,plain,
% 72.17/45.06 (nextState(constB5, constB6)),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[1014, 1013])).
% 72.17/45.06 tff(1016,plain,
% 72.17/45.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(1017,plain,
% 72.17/45.06 (((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6)) <=> ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(1018,plain,
% 72.17/45.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5))))),
% 72.17/45.06 inference(monotonicity,[status(thm)],[1017])).
% 72.17/45.06 tff(1019,plain,
% 72.17/45.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 72.17/45.06 inference(transitivity,[status(thm)],[1018, 1016])).
% 72.17/45.06 tff(1020,plain,
% 72.17/45.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))),
% 72.17/45.06 inference(quant_inst,[status(thm)],[])).
% 72.17/45.06 tff(1021,plain,
% 72.17/45.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[1020, 1019])).
% 72.17/45.06 tff(1022,plain,
% 72.17/45.06 (v110(constB6) | (~v108(constB5))),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[1021, 317, 1015])).
% 72.17/45.06 tff(1023,plain,
% 72.17/45.06 (v110(constB6)),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[1022, 1012])).
% 72.17/45.06 tff(1024,plain,
% 72.17/45.06 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(1025,plain,
% 72.17/45.06 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))),
% 72.17/45.06 inference(quant_inst,[status(thm)],[])).
% 72.17/45.06 tff(1026,plain,
% 72.17/45.06 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[1025, 1024])).
% 72.17/45.06 tff(1027,plain,
% 72.17/45.06 (~v104(constB6)),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[1026, 335, 1015, 776])).
% 72.17/45.06 tff(1028,plain,
% 72.17/45.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(1029,plain,
% 72.17/45.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))),
% 72.17/45.06 inference(quant_inst,[status(thm)],[])).
% 72.17/45.06 tff(1030,plain,
% 72.17/45.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v102(constB6) | v104(constB6)),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[1029, 1028])).
% 72.17/45.06 tff(1031,plain,
% 72.17/45.06 (v102(constB6) | v104(constB6)),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[1030, 349, 1015])).
% 72.17/45.06 tff(1032,plain,
% 72.17/45.06 (v102(constB6)),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[1031, 1027])).
% 72.17/45.06 tff(1033,plain,
% 72.17/45.06 (v1(constB6) <=> v1(constB6)),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(1034,axiom,(v1(constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_6_1')).
% 72.17/45.06 tff(1035,plain,
% 72.17/45.06 (v1(constB6)),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[1034, 1033])).
% 72.17/45.06 tff(1036,plain,
% 72.17/45.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(1037,plain,
% 72.17/45.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))),
% 72.17/45.06 inference(quant_inst,[status(thm)],[])).
% 72.17/45.06 tff(1038,plain,
% 72.17/45.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[1037, 1036])).
% 72.17/45.06 tff(1039,plain,
% 72.17/45.06 (v101(constB6) | (~v102(constB6))),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[1038, 367, 1015, 1035])).
% 72.17/45.06 tff(1040,plain,
% 72.17/45.06 (v101(constB6)),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[1039, 1032])).
% 72.17/45.06 tff(1041,plain,
% 72.17/45.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(1042,plain,
% 72.17/45.06 (((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6)) <=> ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(1043,plain,
% 72.17/45.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6))))),
% 72.17/45.06 inference(monotonicity,[status(thm)],[1042])).
% 72.17/45.06 tff(1044,plain,
% 72.17/45.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 72.17/45.06 inference(transitivity,[status(thm)],[1043, 1041])).
% 72.17/45.06 tff(1045,plain,
% 72.17/45.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))),
% 72.17/45.06 inference(quant_inst,[status(thm)],[])).
% 72.17/45.06 tff(1046,plain,
% 72.17/45.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[1045, 1044])).
% 72.17/45.06 tff(1047,plain,
% 72.17/45.06 (v100(constB6) | (~v101(constB6)) | (~v110(constB6))),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[1046, 382, 1015])).
% 72.17/45.06 tff(1048,plain,
% 72.17/45.06 (v100(constB6) | (~v110(constB6))),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[1047, 1040])).
% 72.17/45.06 tff(1049,plain,
% 72.17/45.06 (v100(constB6)),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[1048, 1023])).
% 72.17/45.06 tff(1050,plain,
% 72.17/45.06 (^[VarCurr: $i] : refl(((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 72.17/45.06 inference(bind,[status(th)],[])).
% 72.17/45.06 tff(1051,plain,
% 72.17/45.06 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.17/45.06 inference(quant_intro,[status(thm)],[1050])).
% 72.17/45.06 tff(1052,plain,
% 72.17/45.06 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(1053,plain,
% 72.17/45.06 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 72.17/45.06 inference(bind,[status(th)],[])).
% 72.17/45.06 tff(1054,plain,
% 72.17/45.06 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.17/45.06 inference(quant_intro,[status(thm)],[1053])).
% 72.17/45.06 tff(1055,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_4_3')).
% 72.17/45.06 tff(1056,plain,
% 72.17/45.06 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[1055, 1054])).
% 72.17/45.06 tff(1057,plain,
% 72.17/45.06 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[1056, 1052])).
% 72.17/45.06 tff(1058,plain,(
% 72.17/45.06 ![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.17/45.06 inference(skolemize,[status(sab)],[1057])).
% 72.17/45.06 tff(1059,plain,
% 72.17/45.06 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[1058, 1051])).
% 72.17/45.06 tff(1060,plain,
% 72.17/45.06 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB5)) | (~v130(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB5)) | (~v130(constB5, bitIndex2)))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(1061,plain,
% 72.17/45.06 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB5)) | (~v130(constB5, bitIndex2)))),
% 72.17/45.06 inference(quant_inst,[status(thm)],[])).
% 72.17/45.06 tff(1062,plain,
% 72.17/45.06 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB5)) | (~v130(constB5, bitIndex2))),
% 72.17/45.06 inference(modus_ponens,[status(thm)],[1061, 1060])).
% 72.17/45.06 tff(1063,plain,
% 72.17/45.06 (~v130(constB5, bitIndex2)),
% 72.17/45.06 inference(unit_resolution,[status(thm)],[1062, 1059, 969])).
% 72.17/45.06 tff(1064,plain,
% 72.17/45.06 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(1065,plain,
% 72.17/45.06 ((v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2))) <=> ((~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))),
% 72.17/45.06 inference(rewrite,[status(thm)],[])).
% 72.17/45.06 tff(1066,plain,
% 72.17/45.06 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2)))),
% 72.17/45.06 inference(monotonicity,[status(thm)],[1065])).
% 72.17/45.06 tff(1067,plain,
% 72.17/45.06 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))),
% 72.17/45.06 inference(transitivity,[status(thm)],[1066, 1064])).
% 72.17/45.06 tff(1068,plain,
% 72.17/45.06 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2)))),
% 72.17/45.06 inference(quant_inst,[status(thm)],[])).
% 72.17/45.06 tff(1069,plain,
% 72.17/45.06 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2)),
% 72.17/45.07 inference(modus_ponens,[status(thm)],[1068, 1067])).
% 72.17/45.07 tff(1070,plain,
% 72.17/45.07 ((~v127(constB5, bitIndex2)) | v130(constB5, bitIndex2)),
% 72.17/45.07 inference(unit_resolution,[status(thm)],[1069, 470, 1000])).
% 72.17/45.07 tff(1071,plain,
% 72.17/45.07 (~v127(constB5, bitIndex2)),
% 72.17/45.07 inference(unit_resolution,[status(thm)],[1070, 1063])).
% 72.17/45.07 tff(1072,plain,
% 72.17/45.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2)))),
% 72.17/45.07 inference(rewrite,[status(thm)],[])).
% 72.17/45.07 tff(1073,plain,
% 72.17/45.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2)))),
% 72.17/45.07 inference(quant_inst,[status(thm)],[])).
% 72.17/45.07 tff(1074,plain,
% 72.17/45.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2))),
% 72.17/45.07 inference(modus_ponens,[status(thm)],[1073, 1072])).
% 72.17/45.07 tff(1075,plain,
% 72.17/45.07 (v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2))),
% 72.17/45.07 inference(unit_resolution,[status(thm)],[1074, 488, 1015])).
% 72.17/45.07 tff(1076,plain,
% 72.17/45.07 (~v129(constB6, bitIndex2)),
% 72.17/45.07 inference(unit_resolution,[status(thm)],[1075, 1071])).
% 72.17/45.07 tff(1077,plain,
% 72.17/45.07 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))),
% 72.17/45.07 inference(rewrite,[status(thm)],[])).
% 72.17/45.07 tff(1078,plain,
% 72.17/45.07 (((~v90(constB6, bitIndex2)) | (~v100(constB6)) | v129(constB6, bitIndex2)) <=> ((~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))),
% 72.17/45.07 inference(rewrite,[status(thm)],[])).
% 72.17/45.07 tff(1079,plain,
% 72.17/45.07 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB6, bitIndex2)) | (~v100(constB6)) | v129(constB6, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6))))),
% 72.17/45.07 inference(monotonicity,[status(thm)],[1078])).
% 72.17/45.07 tff(1080,plain,
% 72.17/45.07 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB6, bitIndex2)) | (~v100(constB6)) | v129(constB6, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))),
% 72.17/45.07 inference(transitivity,[status(thm)],[1079, 1077])).
% 72.17/45.07 tff(1081,plain,
% 72.17/45.07 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB6, bitIndex2)) | (~v100(constB6)) | v129(constB6, bitIndex2))),
% 72.17/45.07 inference(quant_inst,[status(thm)],[])).
% 72.17/45.07 tff(1082,plain,
% 72.17/45.07 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6))),
% 72.17/45.07 inference(modus_ponens,[status(thm)],[1081, 1080])).
% 72.17/45.07 tff(1083,plain,
% 72.17/45.07 ((~v90(constB6, bitIndex2)) | (~v100(constB6))),
% 72.17/45.07 inference(unit_resolution,[status(thm)],[1082, 503, 1076])).
% 72.17/45.07 tff(1084,plain,
% 72.17/45.07 (~v90(constB6, bitIndex2)),
% 72.17/45.07 inference(unit_resolution,[status(thm)],[1083, 1049])).
% 72.17/45.07 tff(1085,plain,
% 72.17/45.07 ((~v1(constB7)) <=> (~v1(constB7))),
% 72.17/45.07 inference(rewrite,[status(thm)],[])).
% 72.17/45.07 tff(1086,axiom,(~v1(constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_7_1_1')).
% 72.24/45.07 tff(1087,plain,
% 72.24/45.07 (~v1(constB7)),
% 72.24/45.07 inference(modus_ponens,[status(thm)],[1086, 1085])).
% 72.24/45.07 tff(1088,plain,
% 72.24/45.07 (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 72.24/45.07 inference(rewrite,[status(thm)],[])).
% 72.24/45.07 tff(1089,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_6_1')).
% 72.24/45.07 tff(1090,plain,
% 72.24/45.07 (nextState(constB6, constB7)),
% 72.24/45.07 inference(modus_ponens,[status(thm)],[1089, 1088])).
% 72.24/45.07 tff(1091,plain,
% 72.24/45.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 72.24/45.07 inference(rewrite,[status(thm)],[])).
% 72.24/45.07 tff(1092,plain,
% 72.24/45.07 (((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7)) <=> (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 72.24/45.07 inference(rewrite,[status(thm)],[])).
% 72.24/45.07 tff(1093,plain,
% 72.24/45.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7))))),
% 72.24/45.07 inference(monotonicity,[status(thm)],[1092])).
% 72.24/45.07 tff(1094,plain,
% 72.24/45.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 72.24/45.07 inference(transitivity,[status(thm)],[1093, 1091])).
% 72.24/45.07 tff(1095,plain,
% 72.24/45.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))),
% 72.24/45.07 inference(quant_inst,[status(thm)],[])).
% 72.24/45.07 tff(1096,plain,
% 72.24/45.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7))),
% 72.24/45.07 inference(modus_ponens,[status(thm)],[1095, 1094])).
% 72.24/45.07 tff(1097,plain,
% 72.24/45.07 (~v101(constB7)),
% 72.24/45.07 inference(unit_resolution,[status(thm)],[1096, 56, 1090, 1087])).
% 72.24/45.07 tff(1098,plain,
% 72.24/45.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))),
% 72.24/45.07 inference(rewrite,[status(thm)],[])).
% 72.24/45.07 tff(1099,plain,
% 72.24/45.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))),
% 72.24/45.07 inference(quant_inst,[status(thm)],[])).
% 72.24/45.07 tff(1100,plain,
% 72.24/45.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7))),
% 72.24/45.07 inference(modus_ponens,[status(thm)],[1099, 1098])).
% 72.24/45.07 tff(1101,plain,
% 72.24/45.07 (v101(constB7) | (~v100(constB7))),
% 72.24/45.07 inference(unit_resolution,[status(thm)],[1100, 73, 1090])).
% 72.24/45.07 tff(1102,plain,
% 72.24/45.07 (~v100(constB7)),
% 72.24/45.07 inference(unit_resolution,[status(thm)],[1101, 1097])).
% 72.24/45.07 tff(1103,plain,
% 72.24/45.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 72.24/45.07 inference(rewrite,[status(thm)],[])).
% 72.24/45.07 tff(1104,plain,
% 72.24/45.07 (((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2))) <=> (v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 72.24/45.07 inference(rewrite,[status(thm)],[])).
% 72.24/45.07 tff(1105,plain,
% 72.24/45.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2))))),
% 72.24/45.07 inference(monotonicity,[status(thm)],[1104])).
% 72.24/45.07 tff(1106,plain,
% 72.24/45.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 72.24/45.07 inference(transitivity,[status(thm)],[1105, 1103])).
% 72.24/45.07 tff(1107,plain,
% 72.24/45.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 72.24/45.07 inference(quant_inst,[status(thm)],[])).
% 72.24/45.07 tff(1108,plain,
% 72.24/45.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2))),
% 72.24/45.07 inference(modus_ponens,[status(thm)],[1107, 1106])).
% 72.24/45.07 tff(1109,plain,
% 72.24/45.07 (v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2))),
% 72.24/45.07 inference(unit_resolution,[status(thm)],[1108, 88, 1090])).
% 72.24/45.07 tff(1110,plain,
% 72.24/45.07 (v90(constB6, bitIndex2) | (~v90(constB7, bitIndex2))),
% 72.24/45.07 inference(unit_resolution,[status(thm)],[1109, 1102])).
% 72.24/45.07 tff(1111,plain,
% 72.24/45.07 (~v90(constB7, bitIndex2)),
% 72.24/45.07 inference(unit_resolution,[status(thm)],[1110, 1084])).
% 72.24/45.07 tff(1112,plain,
% 72.24/45.07 (^[VarCurr: $i] : refl(((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 72.24/45.07 inference(bind,[status(th)],[])).
% 72.24/45.07 tff(1113,plain,
% 72.24/45.07 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.24/45.07 inference(quant_intro,[status(thm)],[1112])).
% 72.24/45.07 tff(1114,plain,
% 72.24/45.07 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.24/45.07 inference(rewrite,[status(thm)],[])).
% 72.24/45.07 tff(1115,plain,
% 72.24/45.07 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 72.24/45.07 inference(bind,[status(th)],[])).
% 72.24/45.07 tff(1116,plain,
% 72.24/45.07 (![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.24/45.07 inference(quant_intro,[status(thm)],[1115])).
% 72.24/45.07 tff(1117,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_4_2')).
% 72.24/45.07 tff(1118,plain,
% 72.24/45.07 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.24/45.07 inference(modus_ponens,[status(thm)],[1117, 1116])).
% 72.24/45.07 tff(1119,plain,
% 72.24/45.07 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.24/45.07 inference(modus_ponens,[status(thm)],[1118, 1114])).
% 72.24/45.07 tff(1120,plain,(
% 72.24/45.07 ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.24/45.07 inference(skolemize,[status(sab)],[1119])).
% 72.24/45.07 tff(1121,plain,
% 72.24/45.07 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.24/45.07 inference(modus_ponens,[status(thm)],[1120, 1113])).
% 72.24/45.07 tff(1122,plain,
% 72.24/45.07 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB5)) | v130(constB5, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB5)) | v130(constB5, bitIndex1))),
% 72.24/45.07 inference(rewrite,[status(thm)],[])).
% 72.24/45.07 tff(1123,plain,
% 72.24/45.07 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB5)) | v130(constB5, bitIndex1))),
% 72.24/45.07 inference(quant_inst,[status(thm)],[])).
% 72.24/45.07 tff(1124,plain,
% 72.24/45.07 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB5)) | v130(constB5, bitIndex1)),
% 72.24/45.07 inference(modus_ponens,[status(thm)],[1123, 1122])).
% 72.24/45.07 tff(1125,plain,
% 72.24/45.07 (v130(constB5, bitIndex1)),
% 72.24/45.07 inference(unit_resolution,[status(thm)],[1124, 1121, 969])).
% 72.24/45.07 tff(1126,plain,
% 72.24/45.07 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB5) | (~v130(constB5, bitIndex1)) | v127(constB5, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB5) | (~v130(constB5, bitIndex1)) | v127(constB5, bitIndex1))),
% 72.24/45.07 inference(rewrite,[status(thm)],[])).
% 72.24/45.07 tff(1127,plain,
% 72.24/45.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB5) | (~v130(constB5, bitIndex1)) | v127(constB5, bitIndex1))),
% 72.24/45.07 inference(quant_inst,[status(thm)],[])).
% 72.24/45.07 tff(1128,plain,
% 72.24/45.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB5) | (~v130(constB5, bitIndex1)) | v127(constB5, bitIndex1)),
% 72.24/45.07 inference(modus_ponens,[status(thm)],[1127, 1126])).
% 72.24/45.07 tff(1129,plain,
% 72.24/45.07 ((~v130(constB5, bitIndex1)) | v127(constB5, bitIndex1)),
% 72.24/45.07 inference(unit_resolution,[status(thm)],[1128, 824, 1000])).
% 72.24/45.07 tff(1130,plain,
% 72.24/45.07 (v127(constB5, bitIndex1)),
% 72.24/45.07 inference(unit_resolution,[status(thm)],[1129, 1125])).
% 72.24/45.07 tff(1131,plain,
% 72.24/45.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB5, constB6)) | (~v127(constB5, bitIndex1)) | v129(constB6, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB5, constB6)) | (~v127(constB5, bitIndex1)) | v129(constB6, bitIndex1))),
% 72.24/45.07 inference(rewrite,[status(thm)],[])).
% 72.24/45.07 tff(1132,plain,
% 72.24/45.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB5, constB6)) | (~v127(constB5, bitIndex1)) | v129(constB6, bitIndex1))),
% 72.24/45.07 inference(quant_inst,[status(thm)],[])).
% 72.24/45.07 tff(1133,plain,
% 72.24/45.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB5, constB6)) | (~v127(constB5, bitIndex1)) | v129(constB6, bitIndex1)),
% 72.24/45.07 inference(modus_ponens,[status(thm)],[1132, 1131])).
% 72.24/45.07 tff(1134,plain,
% 72.24/45.07 ((~v127(constB5, bitIndex1)) | v129(constB6, bitIndex1)),
% 72.24/45.07 inference(unit_resolution,[status(thm)],[1133, 839, 1015])).
% 72.24/45.07 tff(1135,plain,
% 72.24/45.07 (v129(constB6, bitIndex1)),
% 72.24/45.07 inference(unit_resolution,[status(thm)],[1134, 1130])).
% 72.24/45.07 tff(1136,plain,
% 72.24/45.07 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1)) | (~v100(constB6)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1)) | (~v100(constB6)))),
% 72.24/45.07 inference(rewrite,[status(thm)],[])).
% 72.24/45.07 tff(1137,plain,
% 72.24/45.07 ((v90(constB6, bitIndex1) | (~v100(constB6)) | (~v129(constB6, bitIndex1))) <=> (v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1)) | (~v100(constB6)))),
% 72.24/45.07 inference(rewrite,[status(thm)],[])).
% 72.24/45.07 tff(1138,plain,
% 72.24/45.07 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~v100(constB6)) | (~v129(constB6, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1)) | (~v100(constB6))))),
% 72.24/45.07 inference(monotonicity,[status(thm)],[1137])).
% 72.24/45.07 tff(1139,plain,
% 72.24/45.07 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~v100(constB6)) | (~v129(constB6, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1)) | (~v100(constB6)))),
% 72.24/45.07 inference(transitivity,[status(thm)],[1138, 1136])).
% 72.24/45.07 tff(1140,plain,
% 72.24/45.07 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~v100(constB6)) | (~v129(constB6, bitIndex1)))),
% 72.24/45.07 inference(quant_inst,[status(thm)],[])).
% 72.24/45.07 tff(1141,plain,
% 72.24/45.07 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1)) | (~v100(constB6))),
% 72.24/45.07 inference(modus_ponens,[status(thm)],[1140, 1139])).
% 72.24/45.07 tff(1142,plain,
% 72.24/45.07 (v90(constB6, bitIndex1) | (~v100(constB6))),
% 72.24/45.07 inference(unit_resolution,[status(thm)],[1141, 854, 1135])).
% 72.24/45.07 tff(1143,plain,
% 72.24/45.07 (v90(constB6, bitIndex1)),
% 72.24/45.07 inference(unit_resolution,[status(thm)],[1142, 1049])).
% 72.24/45.07 tff(1144,plain,
% 72.24/45.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex1))),
% 72.24/45.07 inference(rewrite,[status(thm)],[])).
% 72.24/45.07 tff(1145,plain,
% 72.24/45.07 (((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex1)) | v100(constB7) | v90(constB7, bitIndex1)) <=> ((~v90(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex1))),
% 72.24/45.07 inference(rewrite,[status(thm)],[])).
% 72.24/45.07 tff(1146,plain,
% 72.24/45.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex1)) | v100(constB7) | v90(constB7, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex1)))),
% 72.24/45.07 inference(monotonicity,[status(thm)],[1145])).
% 72.24/45.07 tff(1147,plain,
% 72.24/45.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex1)) | v100(constB7) | v90(constB7, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex1))),
% 72.24/45.07 inference(transitivity,[status(thm)],[1146, 1144])).
% 72.24/45.07 tff(1148,plain,
% 72.24/45.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex1)) | v100(constB7) | v90(constB7, bitIndex1))),
% 72.24/45.07 inference(quant_inst,[status(thm)],[])).
% 72.24/45.07 tff(1149,plain,
% 72.24/45.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex1)),
% 72.24/45.07 inference(modus_ponens,[status(thm)],[1148, 1147])).
% 72.24/45.07 tff(1150,plain,
% 72.24/45.07 ((~v90(constB6, bitIndex1)) | v100(constB7) | v90(constB7, bitIndex1)),
% 72.24/45.07 inference(unit_resolution,[status(thm)],[1149, 872, 1090])).
% 72.24/45.07 tff(1151,plain,
% 72.24/45.07 ((~v90(constB6, bitIndex1)) | v90(constB7, bitIndex1)),
% 72.24/45.07 inference(unit_resolution,[status(thm)],[1150, 1102])).
% 72.24/45.07 tff(1152,plain,
% 72.24/45.07 (v90(constB7, bitIndex1)),
% 72.24/45.07 inference(unit_resolution,[status(thm)],[1151, 1143])).
% 72.24/45.07 tff(1153,plain,
% 72.24/45.07 (^[VarCurr: $i] : refl(((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 72.24/45.07 inference(bind,[status(th)],[])).
% 72.24/45.07 tff(1154,plain,
% 72.24/45.07 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.24/45.07 inference(quant_intro,[status(thm)],[1153])).
% 72.24/45.07 tff(1155,plain,
% 72.24/45.07 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.24/45.07 inference(rewrite,[status(thm)],[])).
% 72.24/45.07 tff(1156,plain,
% 72.24/45.07 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex0) | (~v121(VarCurr))) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 72.24/45.07 inference(bind,[status(th)],[])).
% 72.24/45.07 tff(1157,plain,
% 72.24/45.07 (![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.24/45.07 inference(quant_intro,[status(thm)],[1156])).
% 72.24/45.07 tff(1158,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_4_1')).
% 72.24/45.07 tff(1159,plain,
% 72.24/45.07 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.24/45.07 inference(modus_ponens,[status(thm)],[1158, 1157])).
% 72.24/45.07 tff(1160,plain,
% 72.24/45.07 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.24/45.07 inference(modus_ponens,[status(thm)],[1159, 1155])).
% 72.24/45.07 tff(1161,plain,(
% 72.24/45.07 ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.24/45.07 inference(skolemize,[status(sab)],[1160])).
% 72.24/45.07 tff(1162,plain,
% 72.24/45.07 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.24/45.07 inference(modus_ponens,[status(thm)],[1161, 1154])).
% 72.24/45.07 tff(1163,plain,
% 72.24/45.07 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB5)) | v130(constB5, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB5)) | v130(constB5, bitIndex0))),
% 72.24/45.07 inference(rewrite,[status(thm)],[])).
% 72.24/45.07 tff(1164,plain,
% 72.24/45.07 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB5)) | v130(constB5, bitIndex0))),
% 72.24/45.07 inference(quant_inst,[status(thm)],[])).
% 72.24/45.07 tff(1165,plain,
% 72.24/45.07 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB5)) | v130(constB5, bitIndex0)),
% 72.24/45.07 inference(modus_ponens,[status(thm)],[1164, 1163])).
% 72.24/45.07 tff(1166,plain,
% 72.24/45.07 (v130(constB5, bitIndex0)),
% 72.24/45.07 inference(unit_resolution,[status(thm)],[1165, 1162, 969])).
% 72.24/45.07 tff(1167,plain,
% 72.24/45.07 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0))),
% 72.24/45.07 inference(rewrite,[status(thm)],[])).
% 72.24/45.07 tff(1168,plain,
% 72.24/45.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0))),
% 72.24/45.07 inference(quant_inst,[status(thm)],[])).
% 72.24/45.07 tff(1169,plain,
% 72.24/45.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0)),
% 72.24/45.07 inference(modus_ponens,[status(thm)],[1168, 1167])).
% 72.24/45.07 tff(1170,plain,
% 72.24/45.07 ((~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0)),
% 72.24/45.07 inference(unit_resolution,[status(thm)],[1169, 179, 1000])).
% 72.24/45.07 tff(1171,plain,
% 72.24/45.07 (v127(constB5, bitIndex0)),
% 72.24/45.07 inference(unit_resolution,[status(thm)],[1170, 1166])).
% 72.24/45.07 tff(1172,plain,
% 72.24/45.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0))),
% 72.24/45.07 inference(rewrite,[status(thm)],[])).
% 72.24/45.07 tff(1173,plain,
% 72.24/45.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0))),
% 72.24/45.07 inference(quant_inst,[status(thm)],[])).
% 72.24/45.07 tff(1174,plain,
% 72.24/45.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0)),
% 72.24/45.07 inference(modus_ponens,[status(thm)],[1173, 1172])).
% 72.24/45.07 tff(1175,plain,
% 72.24/45.07 ((~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0)),
% 72.24/45.07 inference(unit_resolution,[status(thm)],[1174, 197, 1015])).
% 72.24/45.07 tff(1176,plain,
% 72.24/45.07 (v129(constB6, bitIndex0)),
% 72.24/45.07 inference(unit_resolution,[status(thm)],[1175, 1171])).
% 72.24/45.07 tff(1177,plain,
% 72.24/45.07 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))),
% 72.24/45.07 inference(rewrite,[status(thm)],[])).
% 72.24/45.07 tff(1178,plain,
% 72.24/45.07 ((v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0))) <=> (v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))),
% 72.24/45.07 inference(rewrite,[status(thm)],[])).
% 72.24/45.07 tff(1179,plain,
% 72.24/45.07 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6))))),
% 72.24/45.07 inference(monotonicity,[status(thm)],[1178])).
% 72.24/45.07 tff(1180,plain,
% 72.24/45.07 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))),
% 72.24/45.07 inference(transitivity,[status(thm)],[1179, 1177])).
% 72.24/45.07 tff(1181,plain,
% 72.24/45.07 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0)))),
% 72.24/45.07 inference(quant_inst,[status(thm)],[])).
% 72.24/45.07 tff(1182,plain,
% 72.24/45.07 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6))),
% 72.24/45.07 inference(modus_ponens,[status(thm)],[1181, 1180])).
% 72.24/45.07 tff(1183,plain,
% 72.24/45.07 (v90(constB6, bitIndex0) | (~v100(constB6))),
% 72.24/45.07 inference(unit_resolution,[status(thm)],[1182, 401, 1176])).
% 72.24/45.07 tff(1184,plain,
% 72.24/45.07 (v90(constB6, bitIndex0)),
% 72.24/45.07 inference(unit_resolution,[status(thm)],[1183, 1049])).
% 72.24/45.07 tff(1185,plain,
% 72.24/45.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))),
% 72.24/45.07 inference(rewrite,[status(thm)],[])).
% 72.24/45.07 tff(1186,plain,
% 72.24/45.07 (((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0)) <=> ((~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))),
% 72.24/45.07 inference(rewrite,[status(thm)],[])).
% 72.24/45.07 tff(1187,plain,
% 72.24/45.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0)))),
% 72.24/45.07 inference(monotonicity,[status(thm)],[1186])).
% 72.24/45.07 tff(1188,plain,
% 72.24/45.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))),
% 72.24/45.07 inference(transitivity,[status(thm)],[1187, 1185])).
% 72.24/45.07 tff(1189,plain,
% 72.24/45.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0))),
% 72.24/45.07 inference(quant_inst,[status(thm)],[])).
% 72.24/45.07 tff(1190,plain,
% 72.24/45.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0)),
% 72.24/45.07 inference(modus_ponens,[status(thm)],[1189, 1188])).
% 72.24/45.07 tff(1191,plain,
% 72.24/45.07 ((~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0)),
% 72.24/45.07 inference(unit_resolution,[status(thm)],[1190, 437, 1090])).
% 72.24/45.07 tff(1192,plain,
% 72.24/45.07 ((~v90(constB6, bitIndex0)) | v90(constB7, bitIndex0)),
% 72.24/45.07 inference(unit_resolution,[status(thm)],[1191, 1102])).
% 72.24/45.07 tff(1193,plain,
% 72.24/45.07 (v90(constB7, bitIndex0)),
% 72.24/45.07 inference(unit_resolution,[status(thm)],[1192, 1184])).
% 72.24/45.07 tff(1194,plain,
% 72.24/45.07 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)))),
% 72.24/45.07 inference(bind,[status(th)],[])).
% 72.24/45.07 tff(1195,plain,
% 72.24/45.07 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 72.24/45.07 inference(quant_intro,[status(thm)],[1194])).
% 72.24/45.07 tff(1196,plain,
% 72.24/45.07 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 72.24/45.07 inference(rewrite,[status(thm)],[])).
% 72.24/45.07 tff(1197,plain,
% 72.24/45.07 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v122(VarCurr) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v122(VarCurr))), ((((v122(VarCurr) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) <=> (((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v122(VarCurr)) | v90(VarCurr, bitIndex2)))), rewrite((((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v122(VarCurr)) | v90(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))), ((((v122(VarCurr) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))))),
% 72.24/45.08 inference(bind,[status(th)],[])).
% 72.24/45.08 tff(1198,plain,
% 72.24/45.08 (![VarCurr: $i] : (((v122(VarCurr) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 72.24/45.08 inference(quant_intro,[status(thm)],[1197])).
% 72.24/45.08 tff(1199,axiom,(![VarCurr: $i] : (((v122(VarCurr) | (~v90(VarCurr, bitIndex1))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_1')).
% 72.24/45.08 tff(1200,plain,
% 72.24/45.08 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1199, 1198])).
% 72.24/45.08 tff(1201,plain,
% 72.24/45.08 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1200, 1196])).
% 72.24/45.08 tff(1202,plain,(
% 72.24/45.08 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 72.24/45.08 inference(skolemize,[status(sab)],[1201])).
% 72.24/45.08 tff(1203,plain,
% 72.24/45.08 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1202, 1195])).
% 72.24/45.08 tff(1204,plain,
% 72.24/45.08 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v122(constB7))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v122(constB7))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1205,plain,
% 72.24/45.08 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v122(constB7))),
% 72.24/45.08 inference(quant_inst,[status(thm)],[])).
% 72.24/45.08 tff(1206,plain,
% 72.24/45.08 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)) | v90(constB7, bitIndex2) | v122(constB7)),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1205, 1204])).
% 72.24/45.08 tff(1207,plain,
% 72.24/45.08 (v122(constB7)),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1206, 1203, 1193, 1152, 1111])).
% 72.24/45.08 tff(1208,plain,
% 72.24/45.08 (^[VarCurr: $i] : refl((v116(VarCurr) | (~v122(VarCurr))) <=> (v116(VarCurr) | (~v122(VarCurr))))),
% 72.24/45.08 inference(bind,[status(th)],[])).
% 72.24/45.08 tff(1209,plain,
% 72.24/45.08 (![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 72.24/45.08 inference(quant_intro,[status(thm)],[1208])).
% 72.24/45.08 tff(1210,plain,
% 72.24/45.08 (![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1211,axiom,(![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_1')).
% 72.24/45.08 tff(1212,plain,
% 72.24/45.08 (![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1211, 1210])).
% 72.24/45.08 tff(1213,plain,(
% 72.24/45.08 ![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 72.24/45.08 inference(skolemize,[status(sab)],[1212])).
% 72.24/45.08 tff(1214,plain,
% 72.24/45.08 (![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1213, 1209])).
% 72.24/45.08 tff(1215,plain,
% 72.24/45.08 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB7) | (~v122(constB7)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB7) | (~v122(constB7)))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1216,plain,
% 72.24/45.08 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB7) | (~v122(constB7)))),
% 72.24/45.08 inference(quant_inst,[status(thm)],[])).
% 72.24/45.08 tff(1217,plain,
% 72.24/45.08 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB7) | (~v122(constB7))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1216, 1215])).
% 72.24/45.08 tff(1218,plain,
% 72.24/45.08 (v116(constB7)),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1217, 1214, 1207])).
% 72.24/45.08 tff(1219,plain,
% 72.24/45.08 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB7) | (~v116(constB7)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB7) | (~v116(constB7)))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1220,plain,
% 72.24/45.08 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB7) | (~v116(constB7)))),
% 72.24/45.08 inference(quant_inst,[status(thm)],[])).
% 72.24/45.08 tff(1221,plain,
% 72.24/45.08 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB7) | (~v116(constB7))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1220, 1219])).
% 72.24/45.08 tff(1222,plain,
% 72.24/45.08 (v115(constB7)),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1221, 265, 1218])).
% 72.24/45.08 tff(1223,plain,
% 72.24/45.08 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB7) | (~v115(constB7)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB7) | (~v115(constB7)))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1224,plain,
% 72.24/45.08 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB7) | (~v115(constB7)))),
% 72.24/45.08 inference(quant_inst,[status(thm)],[])).
% 72.24/45.08 tff(1225,plain,
% 72.24/45.08 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB7) | (~v115(constB7))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1224, 1223])).
% 72.24/45.08 tff(1226,plain,
% 72.24/45.08 (v114(constB7)),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1225, 276, 1222])).
% 72.24/45.08 tff(1227,plain,
% 72.24/45.08 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB7) | (~v114(constB7)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB7) | (~v114(constB7)))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1228,plain,
% 72.24/45.08 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB7) | (~v114(constB7)))),
% 72.24/45.08 inference(quant_inst,[status(thm)],[])).
% 72.24/45.08 tff(1229,plain,
% 72.24/45.08 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB7) | (~v114(constB7))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1228, 1227])).
% 72.24/45.08 tff(1230,plain,
% 72.24/45.08 (v113(constB7)),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1229, 287, 1226])).
% 72.24/45.08 tff(1231,assumption,(v26(constB7)), introduced(assumption)).
% 72.24/45.08 tff(1232,plain,
% 72.24/45.08 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB7))),
% 72.24/45.08 inference(quant_inst,[status(thm)],[])).
% 72.24/45.08 tff(1233,plain,
% 72.24/45.08 ($false),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1232, 37, 1231])).
% 72.24/45.08 tff(1234,plain,(~v26(constB7)), inference(lemma,lemma(discharge,[]))).
% 72.24/45.08 tff(1235,plain,
% 72.24/45.08 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | (~v113(constB7)) | v112(constB7))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1236,plain,
% 72.24/45.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))),
% 72.24/45.08 inference(quant_inst,[status(thm)],[])).
% 72.24/45.08 tff(1237,plain,
% 72.24/45.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | (~v113(constB7)) | v112(constB7)),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1236, 1235])).
% 72.24/45.08 tff(1238,plain,
% 72.24/45.08 ((~v113(constB7)) | v112(constB7)),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1237, 301, 1234])).
% 72.24/45.08 tff(1239,plain,
% 72.24/45.08 (v112(constB7)),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1238, 1230])).
% 72.24/45.08 tff(1240,plain,
% 72.24/45.08 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB7) | (~v112(constB7)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB7) | (~v112(constB7)))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1241,plain,
% 72.24/45.08 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB7) | (~v112(constB7)))),
% 72.24/45.08 inference(quant_inst,[status(thm)],[])).
% 72.24/45.08 tff(1242,plain,
% 72.24/45.08 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB7) | (~v112(constB7))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1241, 1240])).
% 72.24/45.08 tff(1243,plain,
% 72.24/45.08 (v108(constB7)),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1242, 210, 1239])).
% 72.24/45.08 tff(1244,plain,
% 72.24/45.08 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1245,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_7_1')).
% 72.24/45.08 tff(1246,plain,
% 72.24/45.08 (nextState(constB7, constB8)),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1245, 1244])).
% 72.24/45.08 tff(1247,plain,
% 72.24/45.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1248,plain,
% 72.24/45.08 (((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8)) <=> ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1249,plain,
% 72.24/45.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7))))),
% 72.24/45.08 inference(monotonicity,[status(thm)],[1248])).
% 72.24/45.08 tff(1250,plain,
% 72.24/45.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 72.24/45.08 inference(transitivity,[status(thm)],[1249, 1247])).
% 72.24/45.08 tff(1251,plain,
% 72.24/45.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))),
% 72.24/45.08 inference(quant_inst,[status(thm)],[])).
% 72.24/45.08 tff(1252,plain,
% 72.24/45.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1251, 1250])).
% 72.24/45.08 tff(1253,plain,
% 72.24/45.08 (v110(constB8) | (~v108(constB7))),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1252, 317, 1246])).
% 72.24/45.08 tff(1254,plain,
% 72.24/45.08 (v110(constB8)),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1253, 1243])).
% 72.24/45.08 tff(1255,plain,
% 72.24/45.08 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1256,plain,
% 72.24/45.08 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))),
% 72.24/45.08 inference(quant_inst,[status(thm)],[])).
% 72.24/45.08 tff(1257,plain,
% 72.24/45.08 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1256, 1255])).
% 72.24/45.08 tff(1258,plain,
% 72.24/45.08 (~v104(constB8)),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1257, 335, 1246, 1087])).
% 72.24/45.08 tff(1259,plain,
% 72.24/45.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1260,plain,
% 72.24/45.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))),
% 72.24/45.08 inference(quant_inst,[status(thm)],[])).
% 72.24/45.08 tff(1261,plain,
% 72.24/45.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v102(constB8) | v104(constB8)),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1260, 1259])).
% 72.24/45.08 tff(1262,plain,
% 72.24/45.08 (v102(constB8) | v104(constB8)),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1261, 349, 1246])).
% 72.24/45.08 tff(1263,plain,
% 72.24/45.08 (v102(constB8)),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1262, 1258])).
% 72.24/45.08 tff(1264,plain,
% 72.24/45.08 (v1(constB8) <=> v1(constB8)),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1265,axiom,(v1(constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_8_1')).
% 72.24/45.08 tff(1266,plain,
% 72.24/45.08 (v1(constB8)),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1265, 1264])).
% 72.24/45.08 tff(1267,plain,
% 72.24/45.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1268,plain,
% 72.24/45.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))),
% 72.24/45.08 inference(quant_inst,[status(thm)],[])).
% 72.24/45.08 tff(1269,plain,
% 72.24/45.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1268, 1267])).
% 72.24/45.08 tff(1270,plain,
% 72.24/45.08 (v101(constB8) | (~v102(constB8))),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1269, 367, 1246, 1266])).
% 72.24/45.08 tff(1271,plain,
% 72.24/45.08 (v101(constB8)),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1270, 1263])).
% 72.24/45.08 tff(1272,plain,
% 72.24/45.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1273,plain,
% 72.24/45.08 (((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8)) <=> ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1274,plain,
% 72.24/45.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8))))),
% 72.24/45.08 inference(monotonicity,[status(thm)],[1273])).
% 72.24/45.08 tff(1275,plain,
% 72.24/45.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 72.24/45.08 inference(transitivity,[status(thm)],[1274, 1272])).
% 72.24/45.08 tff(1276,plain,
% 72.24/45.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))),
% 72.24/45.08 inference(quant_inst,[status(thm)],[])).
% 72.24/45.08 tff(1277,plain,
% 72.24/45.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1276, 1275])).
% 72.24/45.08 tff(1278,plain,
% 72.24/45.08 (v100(constB8) | (~v101(constB8)) | (~v110(constB8))),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1277, 382, 1246])).
% 72.24/45.08 tff(1279,plain,
% 72.24/45.08 (v100(constB8) | (~v110(constB8))),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1278, 1271])).
% 72.24/45.08 tff(1280,plain,
% 72.24/45.08 (v100(constB8)),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1279, 1254])).
% 72.24/45.08 tff(1281,plain,
% 72.24/45.08 (^[VarCurr: $i] : refl(((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 72.24/45.08 inference(bind,[status(th)],[])).
% 72.24/45.08 tff(1282,plain,
% 72.24/45.08 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.24/45.08 inference(quant_intro,[status(thm)],[1281])).
% 72.24/45.08 tff(1283,plain,
% 72.24/45.08 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1284,plain,
% 72.24/45.08 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex2) | (~v122(VarCurr))) <=> ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 72.24/45.08 inference(bind,[status(th)],[])).
% 72.24/45.08 tff(1285,plain,
% 72.24/45.08 (![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.24/45.08 inference(quant_intro,[status(thm)],[1284])).
% 72.24/45.08 tff(1286,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_3')).
% 72.24/45.08 tff(1287,plain,
% 72.24/45.08 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1286, 1285])).
% 72.24/45.08 tff(1288,plain,
% 72.24/45.08 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1287, 1283])).
% 72.24/45.08 tff(1289,plain,(
% 72.24/45.08 ![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.24/45.08 inference(skolemize,[status(sab)],[1288])).
% 72.24/45.08 tff(1290,plain,
% 72.24/45.08 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1289, 1282])).
% 72.24/45.08 tff(1291,plain,
% 72.24/45.08 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB7)) | v130(constB7, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB7)) | v130(constB7, bitIndex2))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1292,plain,
% 72.24/45.08 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB7)) | v130(constB7, bitIndex2))),
% 72.24/45.08 inference(quant_inst,[status(thm)],[])).
% 72.24/45.08 tff(1293,plain,
% 72.24/45.08 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB7)) | v130(constB7, bitIndex2)),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1292, 1291])).
% 72.24/45.08 tff(1294,plain,
% 72.24/45.08 (v130(constB7, bitIndex2)),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1293, 1290, 1207])).
% 72.24/45.08 tff(1295,plain,
% 72.24/45.08 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)))),
% 72.24/45.08 inference(bind,[status(th)],[])).
% 72.24/45.08 tff(1296,plain,
% 72.24/45.08 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 72.24/45.08 inference(quant_intro,[status(thm)],[1295])).
% 72.24/45.08 tff(1297,plain,
% 72.24/45.08 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1298,plain,
% 72.24/45.08 (^[VarCurr: $i] : trans(monotonicity(rewrite((v127(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex2))) <=> ((~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))), (((v127(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex2))) | v26(VarCurr)) <=> (((~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) | v26(VarCurr)))), rewrite((((~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) | v26(VarCurr)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))), (((v127(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex2))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))))),
% 72.24/45.08 inference(bind,[status(th)],[])).
% 72.24/45.08 tff(1299,plain,
% 72.24/45.08 (![VarCurr: $i] : ((v127(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex2))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 72.24/45.08 inference(quant_intro,[status(thm)],[1298])).
% 72.24/45.08 tff(1300,axiom,(![VarCurr: $i] : ((v127(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex2))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_5')).
% 72.24/45.08 tff(1301,plain,
% 72.24/45.08 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1300, 1299])).
% 72.24/45.08 tff(1302,plain,
% 72.24/45.08 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1301, 1297])).
% 72.24/45.08 tff(1303,plain,(
% 72.24/45.08 ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 72.24/45.08 inference(skolemize,[status(sab)],[1302])).
% 72.24/45.08 tff(1304,plain,
% 72.24/45.08 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1303, 1296])).
% 72.24/45.08 tff(1305,plain,
% 72.24/45.08 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB7) | (~v130(constB7, bitIndex2)) | v127(constB7, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB7) | (~v130(constB7, bitIndex2)) | v127(constB7, bitIndex2))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1306,plain,
% 72.24/45.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB7) | (~v130(constB7, bitIndex2)) | v127(constB7, bitIndex2))),
% 72.24/45.08 inference(quant_inst,[status(thm)],[])).
% 72.24/45.08 tff(1307,plain,
% 72.24/45.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB7) | (~v130(constB7, bitIndex2)) | v127(constB7, bitIndex2)),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1306, 1305])).
% 72.24/45.08 tff(1308,plain,
% 72.24/45.08 ((~v130(constB7, bitIndex2)) | v127(constB7, bitIndex2)),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1307, 1304, 1234])).
% 72.24/45.08 tff(1309,plain,
% 72.24/45.08 (v127(constB7, bitIndex2)),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1308, 1294])).
% 72.24/45.08 tff(1310,plain,
% 72.24/45.08 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)))),
% 72.24/45.08 inference(bind,[status(th)],[])).
% 72.24/45.08 tff(1311,plain,
% 72.24/45.08 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 72.24/45.08 inference(quant_intro,[status(thm)],[1310])).
% 72.24/45.08 tff(1312,plain,
% 72.24/45.08 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1313,plain,
% 72.24/45.08 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v129(VarNext, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> ((~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))), (((v129(VarNext, bitIndex2) | (~v127(VarCurr, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> (((~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))), (((v129(VarNext, bitIndex2) | (~v127(VarCurr, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))))),
% 72.24/45.08 inference(bind,[status(th)],[])).
% 72.24/45.08 tff(1314,plain,
% 72.24/45.08 (![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex2) | (~v127(VarCurr, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 72.24/45.08 inference(quant_intro,[status(thm)],[1313])).
% 72.24/45.08 tff(1315,axiom,(![VarNext: $i, VarCurr: $i] : ((v129(VarNext, bitIndex2) | (~v127(VarCurr, bitIndex2))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_5')).
% 72.24/45.08 tff(1316,plain,
% 72.24/45.08 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1315, 1314])).
% 72.24/45.08 tff(1317,plain,
% 72.24/45.08 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1316, 1312])).
% 72.24/45.08 tff(1318,plain,(
% 72.24/45.08 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 72.24/45.08 inference(skolemize,[status(sab)],[1317])).
% 72.24/45.08 tff(1319,plain,
% 72.24/45.08 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1318, 1311])).
% 72.24/45.08 tff(1320,plain,
% 72.24/45.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB7, constB8)) | (~v127(constB7, bitIndex2)) | v129(constB8, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB7, constB8)) | (~v127(constB7, bitIndex2)) | v129(constB8, bitIndex2))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1321,plain,
% 72.24/45.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB7, constB8)) | (~v127(constB7, bitIndex2)) | v129(constB8, bitIndex2))),
% 72.24/45.08 inference(quant_inst,[status(thm)],[])).
% 72.24/45.08 tff(1322,plain,
% 72.24/45.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB7, constB8)) | (~v127(constB7, bitIndex2)) | v129(constB8, bitIndex2)),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1321, 1320])).
% 72.24/45.08 tff(1323,plain,
% 72.24/45.08 ((~v127(constB7, bitIndex2)) | v129(constB8, bitIndex2)),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1322, 1319, 1246])).
% 72.24/45.08 tff(1324,plain,
% 72.24/45.08 (v129(constB8, bitIndex2)),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1323, 1309])).
% 72.24/45.08 tff(1325,plain,
% 72.24/45.08 (^[VarNext: $i] : refl((v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))))),
% 72.24/45.08 inference(bind,[status(th)],[])).
% 72.24/45.08 tff(1326,plain,
% 72.24/45.08 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 72.24/45.08 inference(quant_intro,[status(thm)],[1325])).
% 72.24/45.08 tff(1327,plain,
% 72.24/45.08 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1328,plain,
% 72.24/45.08 (^[VarNext: $i] : trans(monotonicity(rewrite((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> (v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2)))), (((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext))) <=> ((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext))))), rewrite(((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext))) <=> (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))), (((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext))) <=> (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))))),
% 72.24/45.08 inference(bind,[status(th)],[])).
% 72.24/45.08 tff(1329,plain,
% 72.24/45.08 (![VarNext: $i] : ((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 72.24/45.08 inference(quant_intro,[status(thm)],[1328])).
% 72.24/45.08 tff(1330,axiom,(![VarNext: $i] : ((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_5')).
% 72.24/45.08 tff(1331,plain,
% 72.24/45.08 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1330, 1329])).
% 72.24/45.08 tff(1332,plain,
% 72.24/45.08 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1331, 1327])).
% 72.24/45.08 tff(1333,plain,(
% 72.24/45.08 ![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 72.24/45.08 inference(skolemize,[status(sab)],[1332])).
% 72.24/45.08 tff(1334,plain,
% 72.24/45.08 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1333, 1326])).
% 72.24/45.08 tff(1335,plain,
% 72.24/45.08 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8)))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1336,plain,
% 72.24/45.08 ((v90(constB8, bitIndex2) | (~v100(constB8)) | (~v129(constB8, bitIndex2))) <=> (v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8)))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1337,plain,
% 72.24/45.08 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~v100(constB8)) | (~v129(constB8, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8))))),
% 72.24/45.08 inference(monotonicity,[status(thm)],[1336])).
% 72.24/45.08 tff(1338,plain,
% 72.24/45.08 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~v100(constB8)) | (~v129(constB8, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8)))),
% 72.24/45.08 inference(transitivity,[status(thm)],[1337, 1335])).
% 72.24/45.08 tff(1339,plain,
% 72.24/45.08 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~v100(constB8)) | (~v129(constB8, bitIndex2)))),
% 72.24/45.08 inference(quant_inst,[status(thm)],[])).
% 72.24/45.08 tff(1340,plain,
% 72.24/45.08 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2)) | (~v100(constB8))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1339, 1338])).
% 72.24/45.08 tff(1341,plain,
% 72.24/45.08 (v90(constB8, bitIndex2) | (~v100(constB8))),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1340, 1334, 1324])).
% 72.24/45.08 tff(1342,plain,
% 72.24/45.08 (v90(constB8, bitIndex2)),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1341, 1280])).
% 72.24/45.08 tff(1343,plain,
% 72.24/45.08 ((~v1(constB9)) <=> (~v1(constB9))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1344,axiom,(~v1(constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_9_1_1')).
% 72.24/45.08 tff(1345,plain,
% 72.24/45.08 (~v1(constB9)),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1344, 1343])).
% 72.24/45.08 tff(1346,plain,
% 72.24/45.08 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1347,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_8_1')).
% 72.24/45.08 tff(1348,plain,
% 72.24/45.08 (nextState(constB8, constB9)),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1347, 1346])).
% 72.24/45.08 tff(1349,plain,
% 72.24/45.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1350,plain,
% 72.24/45.08 (((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9)) <=> (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1351,plain,
% 72.24/45.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9))))),
% 72.24/45.08 inference(monotonicity,[status(thm)],[1350])).
% 72.24/45.08 tff(1352,plain,
% 72.24/45.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 72.24/45.08 inference(transitivity,[status(thm)],[1351, 1349])).
% 72.24/45.08 tff(1353,plain,
% 72.24/45.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))),
% 72.24/45.08 inference(quant_inst,[status(thm)],[])).
% 72.24/45.08 tff(1354,plain,
% 72.24/45.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1353, 1352])).
% 72.24/45.08 tff(1355,plain,
% 72.24/45.08 (~v101(constB9)),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1354, 56, 1348, 1345])).
% 72.24/45.08 tff(1356,plain,
% 72.24/45.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1357,plain,
% 72.24/45.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))),
% 72.24/45.08 inference(quant_inst,[status(thm)],[])).
% 72.24/45.08 tff(1358,plain,
% 72.24/45.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9))),
% 72.24/45.08 inference(modus_ponens,[status(thm)],[1357, 1356])).
% 72.24/45.08 tff(1359,plain,
% 72.24/45.08 (v101(constB9) | (~v100(constB9))),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1358, 73, 1348])).
% 72.24/45.08 tff(1360,plain,
% 72.24/45.08 (~v100(constB9)),
% 72.24/45.08 inference(unit_resolution,[status(thm)],[1359, 1355])).
% 72.24/45.08 tff(1361,plain,
% 72.24/45.08 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)))),
% 72.24/45.08 inference(bind,[status(th)],[])).
% 72.24/45.08 tff(1362,plain,
% 72.24/45.08 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 72.24/45.08 inference(quant_intro,[status(thm)],[1361])).
% 72.24/45.08 tff(1363,plain,
% 72.24/45.08 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 72.24/45.08 inference(rewrite,[status(thm)],[])).
% 72.24/45.08 tff(1364,plain,
% 72.24/45.08 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) <=> ((~v90(VarCurr, bitIndex2)) | v90(VarNext, bitIndex2))), (((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) | v100(VarNext)) <=> (((~v90(VarCurr, bitIndex2)) | v90(VarNext, bitIndex2)) | v100(VarNext)))), rewrite((((~v90(VarCurr, bitIndex2)) | v90(VarNext, bitIndex2)) | v100(VarNext)) <=> ((~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))), (((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) | v100(VarNext)) <=> ((~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)))), ((((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (((~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))), ((((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))))),
% 72.24/45.09 inference(bind,[status(th)],[])).
% 72.24/45.09 tff(1365,plain,
% 72.24/45.09 (![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 72.24/45.09 inference(quant_intro,[status(thm)],[1364])).
% 72.24/45.09 tff(1366,axiom,(![VarNext: $i, VarCurr: $i] : (((v90(VarNext, bitIndex2) | (~v90(VarCurr, bitIndex2))) | v100(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_5')).
% 72.24/45.09 tff(1367,plain,
% 72.24/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 72.24/45.09 inference(modus_ponens,[status(thm)],[1366, 1365])).
% 72.24/45.09 tff(1368,plain,
% 72.24/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 72.24/45.09 inference(modus_ponens,[status(thm)],[1367, 1363])).
% 72.24/45.09 tff(1369,plain,(
% 72.24/45.09 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 72.24/45.09 inference(skolemize,[status(sab)],[1368])).
% 72.24/45.09 tff(1370,plain,
% 72.24/45.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 72.24/45.09 inference(modus_ponens,[status(thm)],[1369, 1362])).
% 72.24/45.09 tff(1371,plain,
% 72.24/45.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2))),
% 72.24/45.09 inference(rewrite,[status(thm)],[])).
% 72.24/45.09 tff(1372,plain,
% 72.24/45.09 (((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex2)) | v100(constB9) | v90(constB9, bitIndex2)) <=> ((~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2))),
% 72.24/45.09 inference(rewrite,[status(thm)],[])).
% 72.24/45.09 tff(1373,plain,
% 72.24/45.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex2)) | v100(constB9) | v90(constB9, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2)))),
% 72.24/45.09 inference(monotonicity,[status(thm)],[1372])).
% 72.24/45.09 tff(1374,plain,
% 72.24/45.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex2)) | v100(constB9) | v90(constB9, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2))),
% 72.24/45.09 inference(transitivity,[status(thm)],[1373, 1371])).
% 72.24/45.09 tff(1375,plain,
% 72.24/45.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex2)) | v100(constB9) | v90(constB9, bitIndex2))),
% 72.24/45.09 inference(quant_inst,[status(thm)],[])).
% 72.24/45.09 tff(1376,plain,
% 72.24/45.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex2)),
% 72.24/45.09 inference(modus_ponens,[status(thm)],[1375, 1374])).
% 72.24/45.09 tff(1377,plain,
% 72.24/45.09 ((~v90(constB8, bitIndex2)) | v100(constB9) | v90(constB9, bitIndex2)),
% 72.24/45.09 inference(unit_resolution,[status(thm)],[1376, 1370, 1348])).
% 72.24/45.09 tff(1378,plain,
% 72.24/45.09 ((~v90(constB8, bitIndex2)) | v90(constB9, bitIndex2)),
% 72.24/45.09 inference(unit_resolution,[status(thm)],[1377, 1360])).
% 72.24/45.09 tff(1379,plain,
% 72.24/45.09 (v90(constB9, bitIndex2)),
% 72.24/45.09 inference(unit_resolution,[status(thm)],[1378, 1342])).
% 72.24/45.09 tff(1380,plain,
% 72.24/45.09 (^[VarCurr: $i] : refl(((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 72.24/45.09 inference(bind,[status(th)],[])).
% 72.24/45.09 tff(1381,plain,
% 72.24/45.09 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.24/45.09 inference(quant_intro,[status(thm)],[1380])).
% 72.24/45.09 tff(1382,plain,
% 72.24/45.09 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.24/45.09 inference(rewrite,[status(thm)],[])).
% 72.24/45.09 tff(1383,plain,
% 72.24/45.09 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex1)) | (~v122(VarCurr))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 72.26/45.09 inference(bind,[status(th)],[])).
% 72.26/45.09 tff(1384,plain,
% 72.26/45.09 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.26/45.09 inference(quant_intro,[status(thm)],[1383])).
% 72.26/45.09 tff(1385,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_2')).
% 72.26/45.09 tff(1386,plain,
% 72.26/45.09 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.26/45.09 inference(modus_ponens,[status(thm)],[1385, 1384])).
% 72.26/45.09 tff(1387,plain,
% 72.26/45.09 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.26/45.09 inference(modus_ponens,[status(thm)],[1386, 1382])).
% 72.26/45.09 tff(1388,plain,(
% 72.26/45.09 ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.26/45.09 inference(skolemize,[status(sab)],[1387])).
% 72.26/45.09 tff(1389,plain,
% 72.26/45.09 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.26/45.09 inference(modus_ponens,[status(thm)],[1388, 1381])).
% 72.26/45.09 tff(1390,plain,
% 72.26/45.09 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB7)) | (~v130(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB7)) | (~v130(constB7, bitIndex1)))),
% 72.26/45.09 inference(rewrite,[status(thm)],[])).
% 72.26/45.09 tff(1391,plain,
% 72.26/45.09 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB7)) | (~v130(constB7, bitIndex1)))),
% 72.26/45.09 inference(quant_inst,[status(thm)],[])).
% 72.26/45.09 tff(1392,plain,
% 72.26/45.09 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB7)) | (~v130(constB7, bitIndex1))),
% 72.26/45.09 inference(modus_ponens,[status(thm)],[1391, 1390])).
% 72.26/45.09 tff(1393,plain,
% 72.26/45.09 (~v130(constB7, bitIndex1)),
% 72.26/45.09 inference(unit_resolution,[status(thm)],[1392, 1389, 1207])).
% 72.26/45.09 tff(1394,plain,
% 72.26/45.09 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1))),
% 72.26/45.09 inference(rewrite,[status(thm)],[])).
% 72.26/45.09 tff(1395,plain,
% 72.26/45.09 ((v26(constB7) | v130(constB7, bitIndex1) | (~v127(constB7, bitIndex1))) <=> ((~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1))),
% 72.26/45.09 inference(rewrite,[status(thm)],[])).
% 72.26/45.09 tff(1396,plain,
% 72.26/45.09 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB7) | v130(constB7, bitIndex1) | (~v127(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1)))),
% 72.26/45.09 inference(monotonicity,[status(thm)],[1395])).
% 72.26/45.09 tff(1397,plain,
% 72.26/45.09 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB7) | v130(constB7, bitIndex1) | (~v127(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1))),
% 72.26/45.09 inference(transitivity,[status(thm)],[1396, 1394])).
% 72.26/45.09 tff(1398,plain,
% 72.26/45.09 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB7) | v130(constB7, bitIndex1) | (~v127(constB7, bitIndex1)))),
% 72.26/45.09 inference(quant_inst,[status(thm)],[])).
% 72.26/45.09 tff(1399,plain,
% 72.26/45.09 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1)),
% 72.26/45.09 inference(modus_ponens,[status(thm)],[1398, 1397])).
% 72.26/45.09 tff(1400,plain,
% 72.26/45.09 ((~v127(constB7, bitIndex1)) | v130(constB7, bitIndex1)),
% 72.26/45.09 inference(unit_resolution,[status(thm)],[1399, 555, 1234])).
% 72.26/45.09 tff(1401,plain,
% 72.26/45.09 (~v127(constB7, bitIndex1)),
% 72.26/45.09 inference(unit_resolution,[status(thm)],[1400, 1393])).
% 72.26/45.09 tff(1402,plain,
% 72.26/45.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex1) | (~v129(constB8, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex1) | (~v129(constB8, bitIndex1)))),
% 72.26/45.09 inference(rewrite,[status(thm)],[])).
% 72.26/45.09 tff(1403,plain,
% 72.26/45.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex1) | (~v129(constB8, bitIndex1)))),
% 72.26/45.09 inference(quant_inst,[status(thm)],[])).
% 72.26/45.09 tff(1404,plain,
% 72.26/45.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex1) | (~v129(constB8, bitIndex1))),
% 72.26/45.09 inference(modus_ponens,[status(thm)],[1403, 1402])).
% 72.26/45.09 tff(1405,plain,
% 72.26/45.09 (v127(constB7, bitIndex1) | (~v129(constB8, bitIndex1))),
% 72.26/45.09 inference(unit_resolution,[status(thm)],[1404, 588, 1246])).
% 72.26/45.09 tff(1406,plain,
% 72.26/45.09 (~v129(constB8, bitIndex1)),
% 72.26/45.09 inference(unit_resolution,[status(thm)],[1405, 1401])).
% 72.26/45.09 tff(1407,plain,
% 72.26/45.09 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8)))),
% 72.26/45.09 inference(rewrite,[status(thm)],[])).
% 72.26/45.09 tff(1408,plain,
% 72.26/45.09 (((~v90(constB8, bitIndex1)) | (~v100(constB8)) | v129(constB8, bitIndex1)) <=> ((~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8)))),
% 72.26/45.09 inference(rewrite,[status(thm)],[])).
% 72.26/45.09 tff(1409,plain,
% 72.26/45.09 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | (~v100(constB8)) | v129(constB8, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8))))),
% 72.26/45.09 inference(monotonicity,[status(thm)],[1408])).
% 72.26/45.09 tff(1410,plain,
% 72.26/45.09 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | (~v100(constB8)) | v129(constB8, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8)))),
% 72.26/45.09 inference(transitivity,[status(thm)],[1409, 1407])).
% 72.26/45.09 tff(1411,plain,
% 72.26/45.09 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | (~v100(constB8)) | v129(constB8, bitIndex1))),
% 72.26/45.09 inference(quant_inst,[status(thm)],[])).
% 72.26/45.09 tff(1412,plain,
% 72.26/45.09 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8))),
% 72.26/45.09 inference(modus_ponens,[status(thm)],[1411, 1410])).
% 72.26/45.09 tff(1413,plain,
% 72.26/45.09 ((~v90(constB8, bitIndex1)) | (~v100(constB8))),
% 72.26/45.09 inference(unit_resolution,[status(thm)],[1412, 603, 1406])).
% 72.26/45.09 tff(1414,plain,
% 72.26/45.09 (~v90(constB8, bitIndex1)),
% 72.26/45.09 inference(unit_resolution,[status(thm)],[1413, 1280])).
% 72.26/45.09 tff(1415,plain,
% 72.26/45.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex1)))),
% 72.26/45.09 inference(rewrite,[status(thm)],[])).
% 72.26/45.09 tff(1416,plain,
% 72.26/45.09 (((~nextState(constB8, constB9)) | v90(constB8, bitIndex1) | v100(constB9) | (~v90(constB9, bitIndex1))) <=> (v90(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex1)))),
% 72.26/45.09 inference(rewrite,[status(thm)],[])).
% 72.26/45.09 tff(1417,plain,
% 72.26/45.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex1) | v100(constB9) | (~v90(constB9, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex1))))),
% 72.26/45.09 inference(monotonicity,[status(thm)],[1416])).
% 72.26/45.09 tff(1418,plain,
% 72.26/45.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex1) | v100(constB9) | (~v90(constB9, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex1)))),
% 72.26/45.09 inference(transitivity,[status(thm)],[1417, 1415])).
% 72.26/45.09 tff(1419,plain,
% 72.26/45.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex1) | v100(constB9) | (~v90(constB9, bitIndex1)))),
% 72.26/45.09 inference(quant_inst,[status(thm)],[])).
% 72.26/45.09 tff(1420,plain,
% 72.26/45.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex1))),
% 72.26/45.09 inference(modus_ponens,[status(thm)],[1419, 1418])).
% 72.26/45.09 tff(1421,plain,
% 72.26/45.09 (v90(constB8, bitIndex1) | v100(constB9) | (~v90(constB9, bitIndex1))),
% 72.26/45.09 inference(unit_resolution,[status(thm)],[1420, 109, 1348])).
% 72.26/45.09 tff(1422,plain,
% 72.26/45.09 (v90(constB8, bitIndex1) | (~v90(constB9, bitIndex1))),
% 72.26/45.09 inference(unit_resolution,[status(thm)],[1421, 1360])).
% 72.26/45.09 tff(1423,plain,
% 72.26/45.09 (~v90(constB9, bitIndex1)),
% 72.26/45.09 inference(unit_resolution,[status(thm)],[1422, 1414])).
% 72.26/45.09 tff(1424,plain,
% 72.26/45.09 (^[VarCurr: $i] : refl(((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 72.26/45.09 inference(bind,[status(th)],[])).
% 72.26/45.09 tff(1425,plain,
% 72.26/45.09 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.26/45.09 inference(quant_intro,[status(thm)],[1424])).
% 72.26/45.09 tff(1426,plain,
% 72.26/45.09 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.26/45.09 inference(rewrite,[status(thm)],[])).
% 72.26/45.09 tff(1427,plain,
% 72.26/45.09 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex0)) | (~v122(VarCurr))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 72.26/45.09 inference(bind,[status(th)],[])).
% 72.26/45.09 tff(1428,plain,
% 72.26/45.09 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.26/45.09 inference(quant_intro,[status(thm)],[1427])).
% 72.26/45.09 tff(1429,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_1')).
% 72.26/45.09 tff(1430,plain,
% 72.26/45.09 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.26/45.09 inference(modus_ponens,[status(thm)],[1429, 1428])).
% 72.26/45.09 tff(1431,plain,
% 72.26/45.09 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.26/45.09 inference(modus_ponens,[status(thm)],[1430, 1426])).
% 72.26/45.09 tff(1432,plain,(
% 72.26/45.09 ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.26/45.09 inference(skolemize,[status(sab)],[1431])).
% 72.26/45.09 tff(1433,plain,
% 72.26/45.09 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.26/45.09 inference(modus_ponens,[status(thm)],[1432, 1425])).
% 72.26/45.09 tff(1434,plain,
% 72.26/45.09 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB7)) | (~v130(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB7)) | (~v130(constB7, bitIndex0)))),
% 72.26/45.09 inference(rewrite,[status(thm)],[])).
% 72.26/45.09 tff(1435,plain,
% 72.26/45.09 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB7)) | (~v130(constB7, bitIndex0)))),
% 72.26/45.09 inference(quant_inst,[status(thm)],[])).
% 72.26/45.09 tff(1436,plain,
% 72.26/45.09 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB7)) | (~v130(constB7, bitIndex0))),
% 72.26/45.09 inference(modus_ponens,[status(thm)],[1435, 1434])).
% 72.26/45.09 tff(1437,plain,
% 72.26/45.09 (~v130(constB7, bitIndex0)),
% 72.26/45.09 inference(unit_resolution,[status(thm)],[1436, 1433, 1207])).
% 72.26/45.09 tff(1438,plain,
% 72.26/45.09 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))),
% 72.26/45.09 inference(rewrite,[status(thm)],[])).
% 72.26/45.09 tff(1439,plain,
% 72.26/45.09 ((v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0))) <=> ((~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))),
% 72.26/45.09 inference(rewrite,[status(thm)],[])).
% 72.26/45.09 tff(1440,plain,
% 72.26/45.09 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0)))),
% 72.26/45.09 inference(monotonicity,[status(thm)],[1439])).
% 72.26/45.09 tff(1441,plain,
% 72.26/45.09 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))),
% 72.26/45.09 inference(transitivity,[status(thm)],[1440, 1438])).
% 72.26/45.09 tff(1442,plain,
% 72.26/45.09 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0)))),
% 72.26/45.09 inference(quant_inst,[status(thm)],[])).
% 72.26/45.09 tff(1443,plain,
% 72.26/45.09 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0)),
% 72.26/45.09 inference(modus_ponens,[status(thm)],[1442, 1441])).
% 72.26/45.09 tff(1444,plain,
% 72.26/45.09 ((~v127(constB7, bitIndex0)) | v130(constB7, bitIndex0)),
% 72.26/45.09 inference(unit_resolution,[status(thm)],[1443, 905, 1234])).
% 72.26/45.09 tff(1445,plain,
% 72.26/45.09 (~v127(constB7, bitIndex0)),
% 72.26/45.09 inference(unit_resolution,[status(thm)],[1444, 1437])).
% 72.26/45.09 tff(1446,plain,
% 72.26/45.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0)))),
% 72.26/45.09 inference(rewrite,[status(thm)],[])).
% 72.26/45.09 tff(1447,plain,
% 72.26/45.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0)))),
% 72.26/45.09 inference(quant_inst,[status(thm)],[])).
% 72.26/45.09 tff(1448,plain,
% 72.26/45.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0))),
% 72.26/45.09 inference(modus_ponens,[status(thm)],[1447, 1446])).
% 72.26/45.09 tff(1449,plain,
% 72.26/45.09 (v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0))),
% 72.26/45.09 inference(unit_resolution,[status(thm)],[1448, 923, 1246])).
% 72.26/45.09 tff(1450,plain,
% 72.26/45.09 (~v129(constB8, bitIndex0)),
% 72.26/45.09 inference(unit_resolution,[status(thm)],[1449, 1445])).
% 72.26/45.09 tff(1451,plain,
% 72.26/45.09 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))),
% 72.26/45.09 inference(rewrite,[status(thm)],[])).
% 72.26/45.09 tff(1452,plain,
% 72.26/45.09 (((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0)) <=> ((~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))),
% 72.26/45.09 inference(rewrite,[status(thm)],[])).
% 72.26/45.09 tff(1453,plain,
% 72.26/45.09 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8))))),
% 72.26/45.09 inference(monotonicity,[status(thm)],[1452])).
% 72.26/45.09 tff(1454,plain,
% 72.26/45.09 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))),
% 72.26/45.09 inference(transitivity,[status(thm)],[1453, 1451])).
% 72.26/45.09 tff(1455,plain,
% 72.26/45.09 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0))),
% 72.26/45.09 inference(quant_inst,[status(thm)],[])).
% 72.26/45.09 tff(1456,plain,
% 72.26/45.09 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8))),
% 72.26/45.09 inference(modus_ponens,[status(thm)],[1455, 1454])).
% 72.26/45.09 tff(1457,plain,
% 72.26/45.09 ((~v90(constB8, bitIndex0)) | (~v100(constB8))),
% 72.26/45.09 inference(unit_resolution,[status(thm)],[1456, 938, 1450])).
% 72.26/45.09 tff(1458,plain,
% 72.26/45.09 (~v90(constB8, bitIndex0)),
% 72.26/45.09 inference(unit_resolution,[status(thm)],[1457, 1280])).
% 72.26/45.09 tff(1459,plain,
% 72.26/45.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 72.26/45.09 inference(rewrite,[status(thm)],[])).
% 72.26/45.09 tff(1460,plain,
% 72.26/45.09 (((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0))) <=> (v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 72.26/45.09 inference(rewrite,[status(thm)],[])).
% 72.26/45.09 tff(1461,plain,
% 72.26/45.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0))))),
% 72.26/45.09 inference(monotonicity,[status(thm)],[1460])).
% 72.26/45.09 tff(1462,plain,
% 72.26/45.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 72.26/45.09 inference(transitivity,[status(thm)],[1461, 1459])).
% 72.26/45.09 tff(1463,plain,
% 72.26/45.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 72.26/45.09 inference(quant_inst,[status(thm)],[])).
% 72.26/45.09 tff(1464,plain,
% 72.26/45.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0))),
% 72.26/45.09 inference(modus_ponens,[status(thm)],[1463, 1462])).
% 72.26/45.09 tff(1465,plain,
% 72.26/45.09 (v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0))),
% 72.26/45.09 inference(unit_resolution,[status(thm)],[1464, 130, 1348])).
% 72.26/45.09 tff(1466,plain,
% 72.26/45.09 (v90(constB8, bitIndex0) | (~v90(constB9, bitIndex0))),
% 72.26/45.09 inference(unit_resolution,[status(thm)],[1465, 1360])).
% 72.26/45.09 tff(1467,plain,
% 72.26/45.09 (~v90(constB9, bitIndex0)),
% 72.26/45.09 inference(unit_resolution,[status(thm)],[1466, 1458])).
% 72.26/45.09 tff(1468,plain,
% 72.26/45.09 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)))),
% 72.26/45.09 inference(bind,[status(th)],[])).
% 72.26/45.09 tff(1469,plain,
% 72.26/45.09 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 72.26/45.09 inference(quant_intro,[status(thm)],[1468])).
% 72.26/45.09 tff(1470,plain,
% 72.26/45.09 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 72.26/45.09 inference(rewrite,[status(thm)],[])).
% 72.26/45.09 tff(1471,plain,
% 72.26/45.09 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v123(VarCurr) | (~v90(VarCurr, bitIndex2))) | v90(VarCurr, bitIndex1)) <=> (v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))), ((((v123(VarCurr) | (~v90(VarCurr, bitIndex2))) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0)) <=> ((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) | v90(VarCurr, bitIndex0)))), rewrite(((v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr)) | v90(VarCurr, bitIndex0)) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))), ((((v123(VarCurr) | (~v90(VarCurr, bitIndex2))) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0)) <=> (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))))),
% 72.26/45.09 inference(bind,[status(th)],[])).
% 72.26/45.09 tff(1472,plain,
% 72.26/45.09 (![VarCurr: $i] : (((v123(VarCurr) | (~v90(VarCurr, bitIndex2))) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 72.26/45.09 inference(quant_intro,[status(thm)],[1471])).
% 72.26/45.09 tff(1473,axiom,(![VarCurr: $i] : (((v123(VarCurr) | (~v90(VarCurr, bitIndex2))) | v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_1')).
% 72.26/45.09 tff(1474,plain,
% 72.26/45.09 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 72.26/45.09 inference(modus_ponens,[status(thm)],[1473, 1472])).
% 72.26/45.09 tff(1475,plain,
% 72.26/45.09 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 72.26/45.09 inference(modus_ponens,[status(thm)],[1474, 1470])).
% 72.26/45.09 tff(1476,plain,(
% 72.26/45.09 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 72.26/45.09 inference(skolemize,[status(sab)],[1475])).
% 72.26/45.09 tff(1477,plain,
% 72.26/45.09 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 72.26/45.09 inference(modus_ponens,[status(thm)],[1476, 1469])).
% 72.26/45.09 tff(1478,plain,
% 72.26/45.09 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)) | v123(constB9))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)) | v123(constB9))),
% 72.26/45.09 inference(rewrite,[status(thm)],[])).
% 72.26/45.09 tff(1479,plain,
% 72.26/45.09 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)) | v123(constB9))),
% 72.26/45.09 inference(quant_inst,[status(thm)],[])).
% 72.26/45.09 tff(1480,plain,
% 72.26/45.09 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)) | v123(constB9)),
% 72.26/45.09 inference(modus_ponens,[status(thm)],[1479, 1478])).
% 72.26/45.09 tff(1481,plain,
% 72.26/45.09 (v123(constB9)),
% 72.26/45.09 inference(unit_resolution,[status(thm)],[1480, 1477, 1467, 1423, 1379])).
% 72.26/45.09 tff(1482,plain,
% 72.26/45.09 (^[VarCurr: $i] : refl((v115(VarCurr) | (~v123(VarCurr))) <=> (v115(VarCurr) | (~v123(VarCurr))))),
% 72.26/45.09 inference(bind,[status(th)],[])).
% 72.26/45.09 tff(1483,plain,
% 72.26/45.09 (![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 72.26/45.09 inference(quant_intro,[status(thm)],[1482])).
% 72.26/45.09 tff(1484,plain,
% 72.26/45.09 (![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 72.26/45.09 inference(rewrite,[status(thm)],[])).
% 72.26/45.09 tff(1485,axiom,(![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_1')).
% 72.26/45.09 tff(1486,plain,
% 72.26/45.09 (![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 72.26/45.09 inference(modus_ponens,[status(thm)],[1485, 1484])).
% 72.26/45.09 tff(1487,plain,(
% 72.26/45.09 ![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 72.26/45.09 inference(skolemize,[status(sab)],[1486])).
% 72.26/45.09 tff(1488,plain,
% 72.26/45.09 (![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 72.26/45.09 inference(modus_ponens,[status(thm)],[1487, 1483])).
% 72.26/45.09 tff(1489,plain,
% 72.26/45.09 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB9) | (~v123(constB9)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB9) | (~v123(constB9)))),
% 72.26/45.09 inference(rewrite,[status(thm)],[])).
% 72.26/45.09 tff(1490,plain,
% 72.26/45.09 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB9) | (~v123(constB9)))),
% 72.26/45.09 inference(quant_inst,[status(thm)],[])).
% 72.26/45.09 tff(1491,plain,
% 72.26/45.09 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB9) | (~v123(constB9))),
% 72.26/45.09 inference(modus_ponens,[status(thm)],[1490, 1489])).
% 72.26/45.09 tff(1492,plain,
% 72.26/45.09 (v115(constB9)),
% 72.26/45.09 inference(unit_resolution,[status(thm)],[1491, 1488, 1481])).
% 72.26/45.09 tff(1493,plain,
% 72.26/45.09 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB9) | (~v115(constB9)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB9) | (~v115(constB9)))),
% 72.26/45.09 inference(rewrite,[status(thm)],[])).
% 72.26/45.09 tff(1494,plain,
% 72.26/45.09 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB9) | (~v115(constB9)))),
% 72.26/45.09 inference(quant_inst,[status(thm)],[])).
% 72.26/45.09 tff(1495,plain,
% 72.26/45.09 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB9) | (~v115(constB9))),
% 72.26/45.09 inference(modus_ponens,[status(thm)],[1494, 1493])).
% 72.26/45.09 tff(1496,plain,
% 72.26/45.09 (v114(constB9)),
% 72.26/45.09 inference(unit_resolution,[status(thm)],[1495, 276, 1492])).
% 72.26/45.09 tff(1497,plain,
% 72.26/45.09 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB9) | (~v114(constB9)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB9) | (~v114(constB9)))),
% 72.26/45.09 inference(rewrite,[status(thm)],[])).
% 72.26/45.09 tff(1498,plain,
% 72.26/45.09 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB9) | (~v114(constB9)))),
% 72.26/45.09 inference(quant_inst,[status(thm)],[])).
% 72.26/45.09 tff(1499,plain,
% 72.26/45.09 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB9) | (~v114(constB9))),
% 72.26/45.09 inference(modus_ponens,[status(thm)],[1498, 1497])).
% 72.26/45.09 tff(1500,plain,
% 72.26/45.09 (v113(constB9)),
% 72.26/45.09 inference(unit_resolution,[status(thm)],[1499, 287, 1496])).
% 72.26/45.09 tff(1501,assumption,(v26(constB9)), introduced(assumption)).
% 72.26/45.09 tff(1502,plain,
% 72.26/45.09 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB9))),
% 72.26/45.09 inference(quant_inst,[status(thm)],[])).
% 72.26/45.09 tff(1503,plain,
% 72.26/45.09 ($false),
% 72.26/45.09 inference(unit_resolution,[status(thm)],[1502, 37, 1501])).
% 72.26/45.09 tff(1504,plain,(~v26(constB9)), inference(lemma,lemma(discharge,[]))).
% 72.26/45.10 tff(1505,plain,
% 72.26/45.10 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | v112(constB9) | (~v113(constB9)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | v112(constB9) | (~v113(constB9)))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1506,plain,
% 72.26/45.10 ((v26(constB9) | (~v113(constB9)) | v112(constB9)) <=> (v26(constB9) | v112(constB9) | (~v113(constB9)))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1507,plain,
% 72.26/45.10 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | v112(constB9) | (~v113(constB9))))),
% 72.26/45.10 inference(monotonicity,[status(thm)],[1506])).
% 72.26/45.10 tff(1508,plain,
% 72.26/45.10 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | v112(constB9) | (~v113(constB9)))),
% 72.26/45.10 inference(transitivity,[status(thm)],[1507, 1505])).
% 72.26/45.10 tff(1509,plain,
% 72.26/45.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))),
% 72.26/45.10 inference(quant_inst,[status(thm)],[])).
% 72.26/45.10 tff(1510,plain,
% 72.26/45.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | v112(constB9) | (~v113(constB9))),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1509, 1508])).
% 72.26/45.10 tff(1511,plain,
% 72.26/45.10 (v112(constB9) | (~v113(constB9))),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1510, 301, 1504])).
% 72.26/45.10 tff(1512,plain,
% 72.26/45.10 (v112(constB9)),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1511, 1500])).
% 72.26/45.10 tff(1513,plain,
% 72.26/45.10 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB9) | (~v112(constB9)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB9) | (~v112(constB9)))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1514,plain,
% 72.26/45.10 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB9) | (~v112(constB9)))),
% 72.26/45.10 inference(quant_inst,[status(thm)],[])).
% 72.26/45.10 tff(1515,plain,
% 72.26/45.10 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB9) | (~v112(constB9))),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1514, 1513])).
% 72.26/45.10 tff(1516,plain,
% 72.26/45.10 (v108(constB9)),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1515, 210, 1512])).
% 72.26/45.10 tff(1517,plain,
% 72.26/45.10 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1518,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_9_1')).
% 72.26/45.10 tff(1519,plain,
% 72.26/45.10 (nextState(constB9, constB10)),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1518, 1517])).
% 72.26/45.10 tff(1520,plain,
% 72.26/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1521,plain,
% 72.26/45.10 (((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10)) <=> ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1522,plain,
% 72.26/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9))))),
% 72.26/45.10 inference(monotonicity,[status(thm)],[1521])).
% 72.26/45.10 tff(1523,plain,
% 72.26/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 72.26/45.10 inference(transitivity,[status(thm)],[1522, 1520])).
% 72.26/45.10 tff(1524,plain,
% 72.26/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))),
% 72.26/45.10 inference(quant_inst,[status(thm)],[])).
% 72.26/45.10 tff(1525,plain,
% 72.26/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9))),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1524, 1523])).
% 72.26/45.10 tff(1526,plain,
% 72.26/45.10 (v110(constB10) | (~v108(constB9))),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1525, 317, 1519])).
% 72.26/45.10 tff(1527,plain,
% 72.26/45.10 (v110(constB10)),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1526, 1516])).
% 72.26/45.10 tff(1528,plain,
% 72.26/45.10 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1529,plain,
% 72.26/45.10 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))),
% 72.26/45.10 inference(quant_inst,[status(thm)],[])).
% 72.26/45.10 tff(1530,plain,
% 72.26/45.10 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10))),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1529, 1528])).
% 72.26/45.10 tff(1531,plain,
% 72.26/45.10 (~v104(constB10)),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1530, 335, 1519, 1345])).
% 72.26/45.10 tff(1532,plain,
% 72.26/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1533,plain,
% 72.26/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))),
% 72.26/45.10 inference(quant_inst,[status(thm)],[])).
% 72.26/45.10 tff(1534,plain,
% 72.26/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v102(constB10) | v104(constB10)),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1533, 1532])).
% 72.26/45.10 tff(1535,plain,
% 72.26/45.10 (v102(constB10) | v104(constB10)),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1534, 349, 1519])).
% 72.26/45.10 tff(1536,plain,
% 72.26/45.10 (v102(constB10)),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1535, 1531])).
% 72.26/45.10 tff(1537,plain,
% 72.26/45.10 (v1(constB10) <=> v1(constB10)),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1538,axiom,(v1(constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_10_1')).
% 72.26/45.10 tff(1539,plain,
% 72.26/45.10 (v1(constB10)),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1538, 1537])).
% 72.26/45.10 tff(1540,plain,
% 72.26/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1541,plain,
% 72.26/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))),
% 72.26/45.10 inference(quant_inst,[status(thm)],[])).
% 72.26/45.10 tff(1542,plain,
% 72.26/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10))),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1541, 1540])).
% 72.26/45.10 tff(1543,plain,
% 72.26/45.10 (v101(constB10) | (~v102(constB10))),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1542, 367, 1519, 1539])).
% 72.26/45.10 tff(1544,plain,
% 72.26/45.10 (v101(constB10)),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1543, 1536])).
% 72.26/45.10 tff(1545,plain,
% 72.26/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1546,plain,
% 72.26/45.10 (((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10)) <=> ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1547,plain,
% 72.26/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10))))),
% 72.26/45.10 inference(monotonicity,[status(thm)],[1546])).
% 72.26/45.10 tff(1548,plain,
% 72.26/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 72.26/45.10 inference(transitivity,[status(thm)],[1547, 1545])).
% 72.26/45.10 tff(1549,plain,
% 72.26/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))),
% 72.26/45.10 inference(quant_inst,[status(thm)],[])).
% 72.26/45.10 tff(1550,plain,
% 72.26/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10))),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1549, 1548])).
% 72.26/45.10 tff(1551,plain,
% 72.26/45.10 (v100(constB10) | (~v101(constB10)) | (~v110(constB10))),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1550, 382, 1519])).
% 72.26/45.10 tff(1552,plain,
% 72.26/45.10 (v100(constB10) | (~v110(constB10))),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1551, 1544])).
% 72.26/45.10 tff(1553,plain,
% 72.26/45.10 (v100(constB10)),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1552, 1527])).
% 72.26/45.10 tff(1554,plain,
% 72.26/45.10 (^[VarCurr: $i] : refl(((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 72.26/45.10 inference(bind,[status(th)],[])).
% 72.26/45.10 tff(1555,plain,
% 72.26/45.10 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.26/45.10 inference(quant_intro,[status(thm)],[1554])).
% 72.26/45.10 tff(1556,plain,
% 72.26/45.10 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1557,plain,
% 72.26/45.10 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 72.26/45.10 inference(bind,[status(th)],[])).
% 72.26/45.10 tff(1558,plain,
% 72.26/45.10 (![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.26/45.10 inference(quant_intro,[status(thm)],[1557])).
% 72.26/45.10 tff(1559,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_3')).
% 72.26/45.10 tff(1560,plain,
% 72.26/45.10 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1559, 1558])).
% 72.26/45.10 tff(1561,plain,
% 72.26/45.10 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1560, 1556])).
% 72.26/45.10 tff(1562,plain,(
% 72.26/45.10 ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.26/45.10 inference(skolemize,[status(sab)],[1561])).
% 72.26/45.10 tff(1563,plain,
% 72.26/45.10 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1562, 1555])).
% 72.26/45.10 tff(1564,plain,
% 72.26/45.10 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB9)) | v130(constB9, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB9)) | v130(constB9, bitIndex2))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1565,plain,
% 72.26/45.10 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB9)) | v130(constB9, bitIndex2))),
% 72.26/45.10 inference(quant_inst,[status(thm)],[])).
% 72.26/45.10 tff(1566,plain,
% 72.26/45.10 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB9)) | v130(constB9, bitIndex2)),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1565, 1564])).
% 72.26/45.10 tff(1567,plain,
% 72.26/45.10 (v130(constB9, bitIndex2)),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1566, 1563, 1481])).
% 72.26/45.10 tff(1568,plain,
% 72.26/45.10 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB9) | (~v130(constB9, bitIndex2)) | v127(constB9, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB9) | (~v130(constB9, bitIndex2)) | v127(constB9, bitIndex2))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1569,plain,
% 72.26/45.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB9) | (~v130(constB9, bitIndex2)) | v127(constB9, bitIndex2))),
% 72.26/45.10 inference(quant_inst,[status(thm)],[])).
% 72.26/45.10 tff(1570,plain,
% 72.26/45.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB9) | (~v130(constB9, bitIndex2)) | v127(constB9, bitIndex2)),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1569, 1568])).
% 72.26/45.10 tff(1571,plain,
% 72.26/45.10 ((~v130(constB9, bitIndex2)) | v127(constB9, bitIndex2)),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1570, 1304, 1504])).
% 72.26/45.10 tff(1572,plain,
% 72.26/45.10 (v127(constB9, bitIndex2)),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1571, 1567])).
% 72.26/45.10 tff(1573,plain,
% 72.26/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex2)) | v129(constB10, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex2)) | v129(constB10, bitIndex2))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1574,plain,
% 72.26/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex2)) | v129(constB10, bitIndex2))),
% 72.26/45.10 inference(quant_inst,[status(thm)],[])).
% 72.26/45.10 tff(1575,plain,
% 72.26/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex2)) | v129(constB10, bitIndex2)),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1574, 1573])).
% 72.26/45.10 tff(1576,plain,
% 72.26/45.10 ((~v127(constB9, bitIndex2)) | v129(constB10, bitIndex2)),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1575, 1319, 1519])).
% 72.26/45.10 tff(1577,plain,
% 72.26/45.10 (v129(constB10, bitIndex2)),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1576, 1572])).
% 72.26/45.10 tff(1578,plain,
% 72.26/45.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10)))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1579,plain,
% 72.26/45.10 ((v90(constB10, bitIndex2) | (~v100(constB10)) | (~v129(constB10, bitIndex2))) <=> (v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10)))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1580,plain,
% 72.26/45.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~v100(constB10)) | (~v129(constB10, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10))))),
% 72.26/45.10 inference(monotonicity,[status(thm)],[1579])).
% 72.26/45.10 tff(1581,plain,
% 72.26/45.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~v100(constB10)) | (~v129(constB10, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10)))),
% 72.26/45.10 inference(transitivity,[status(thm)],[1580, 1578])).
% 72.26/45.10 tff(1582,plain,
% 72.26/45.10 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~v100(constB10)) | (~v129(constB10, bitIndex2)))),
% 72.26/45.10 inference(quant_inst,[status(thm)],[])).
% 72.26/45.10 tff(1583,plain,
% 72.26/45.10 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10))),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1582, 1581])).
% 72.26/45.10 tff(1584,plain,
% 72.26/45.10 (v90(constB10, bitIndex2) | (~v100(constB10))),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1583, 1334, 1577])).
% 72.26/45.10 tff(1585,plain,
% 72.26/45.10 (v90(constB10, bitIndex2)),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1584, 1553])).
% 72.26/45.10 tff(1586,plain,
% 72.26/45.10 ((~v1(constB11)) <=> (~v1(constB11))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1587,axiom,(~v1(constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_11_1_1')).
% 72.26/45.10 tff(1588,plain,
% 72.26/45.10 (~v1(constB11)),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1587, 1586])).
% 72.26/45.10 tff(1589,plain,
% 72.26/45.10 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1590,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_10_1')).
% 72.26/45.10 tff(1591,plain,
% 72.26/45.10 (nextState(constB10, constB11)),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1590, 1589])).
% 72.26/45.10 tff(1592,plain,
% 72.26/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1593,plain,
% 72.26/45.10 (((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11)) <=> (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1594,plain,
% 72.26/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11))))),
% 72.26/45.10 inference(monotonicity,[status(thm)],[1593])).
% 72.26/45.10 tff(1595,plain,
% 72.26/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 72.26/45.10 inference(transitivity,[status(thm)],[1594, 1592])).
% 72.26/45.10 tff(1596,plain,
% 72.26/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))),
% 72.26/45.10 inference(quant_inst,[status(thm)],[])).
% 72.26/45.10 tff(1597,plain,
% 72.26/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11))),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1596, 1595])).
% 72.26/45.10 tff(1598,plain,
% 72.26/45.10 (~v101(constB11)),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1597, 56, 1591, 1588])).
% 72.26/45.10 tff(1599,plain,
% 72.26/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1600,plain,
% 72.26/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))),
% 72.26/45.10 inference(quant_inst,[status(thm)],[])).
% 72.26/45.10 tff(1601,plain,
% 72.26/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11))),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1600, 1599])).
% 72.26/45.10 tff(1602,plain,
% 72.26/45.10 (v101(constB11) | (~v100(constB11))),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1601, 73, 1591])).
% 72.26/45.10 tff(1603,plain,
% 72.26/45.10 (~v100(constB11)),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1602, 1598])).
% 72.26/45.10 tff(1604,plain,
% 72.26/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex2))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1605,plain,
% 72.26/45.10 (((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex2)) | v100(constB11) | v90(constB11, bitIndex2)) <=> ((~v90(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex2))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1606,plain,
% 72.26/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex2)) | v100(constB11) | v90(constB11, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex2)))),
% 72.26/45.10 inference(monotonicity,[status(thm)],[1605])).
% 72.26/45.10 tff(1607,plain,
% 72.26/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex2)) | v100(constB11) | v90(constB11, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex2))),
% 72.26/45.10 inference(transitivity,[status(thm)],[1606, 1604])).
% 72.26/45.10 tff(1608,plain,
% 72.26/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex2)) | v100(constB11) | v90(constB11, bitIndex2))),
% 72.26/45.10 inference(quant_inst,[status(thm)],[])).
% 72.26/45.10 tff(1609,plain,
% 72.26/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex2)),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1608, 1607])).
% 72.26/45.10 tff(1610,plain,
% 72.26/45.10 ((~v90(constB10, bitIndex2)) | v100(constB11) | v90(constB11, bitIndex2)),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1609, 1370, 1591])).
% 72.26/45.10 tff(1611,plain,
% 72.26/45.10 ((~v90(constB10, bitIndex2)) | v90(constB11, bitIndex2)),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1610, 1603])).
% 72.26/45.10 tff(1612,plain,
% 72.26/45.10 (v90(constB11, bitIndex2)),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1611, 1585])).
% 72.26/45.10 tff(1613,plain,
% 72.26/45.10 (^[VarCurr: $i] : refl(((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 72.26/45.10 inference(bind,[status(th)],[])).
% 72.26/45.10 tff(1614,plain,
% 72.26/45.10 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.26/45.10 inference(quant_intro,[status(thm)],[1613])).
% 72.26/45.10 tff(1615,plain,
% 72.26/45.10 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1616,plain,
% 72.26/45.10 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex1)) | (~v123(VarCurr))) <=> ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 72.26/45.10 inference(bind,[status(th)],[])).
% 72.26/45.10 tff(1617,plain,
% 72.26/45.10 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.26/45.10 inference(quant_intro,[status(thm)],[1616])).
% 72.26/45.10 tff(1618,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_2')).
% 72.26/45.10 tff(1619,plain,
% 72.26/45.10 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1618, 1617])).
% 72.26/45.10 tff(1620,plain,
% 72.26/45.10 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1619, 1615])).
% 72.26/45.10 tff(1621,plain,(
% 72.26/45.10 ![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.26/45.10 inference(skolemize,[status(sab)],[1620])).
% 72.26/45.10 tff(1622,plain,
% 72.26/45.10 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1621, 1614])).
% 72.26/45.10 tff(1623,plain,
% 72.26/45.10 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB9)) | (~v130(constB9, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB9)) | (~v130(constB9, bitIndex1)))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1624,plain,
% 72.26/45.10 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB9)) | (~v130(constB9, bitIndex1)))),
% 72.26/45.10 inference(quant_inst,[status(thm)],[])).
% 72.26/45.10 tff(1625,plain,
% 72.26/45.10 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB9)) | (~v130(constB9, bitIndex1))),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1624, 1623])).
% 72.26/45.10 tff(1626,plain,
% 72.26/45.10 (~v130(constB9, bitIndex1)),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1625, 1622, 1481])).
% 72.26/45.10 tff(1627,plain,
% 72.26/45.10 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1628,plain,
% 72.26/45.10 ((v26(constB9) | v130(constB9, bitIndex1) | (~v127(constB9, bitIndex1))) <=> ((~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1629,plain,
% 72.26/45.10 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB9) | v130(constB9, bitIndex1) | (~v127(constB9, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1)))),
% 72.26/45.10 inference(monotonicity,[status(thm)],[1628])).
% 72.26/45.10 tff(1630,plain,
% 72.26/45.10 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB9) | v130(constB9, bitIndex1) | (~v127(constB9, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1))),
% 72.26/45.10 inference(transitivity,[status(thm)],[1629, 1627])).
% 72.26/45.10 tff(1631,plain,
% 72.26/45.10 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB9) | v130(constB9, bitIndex1) | (~v127(constB9, bitIndex1)))),
% 72.26/45.10 inference(quant_inst,[status(thm)],[])).
% 72.26/45.10 tff(1632,plain,
% 72.26/45.10 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1)),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1631, 1630])).
% 72.26/45.10 tff(1633,plain,
% 72.26/45.10 ((~v127(constB9, bitIndex1)) | v130(constB9, bitIndex1)),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1632, 555, 1504])).
% 72.26/45.10 tff(1634,plain,
% 72.26/45.10 (~v127(constB9, bitIndex1)),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1633, 1626])).
% 72.26/45.10 tff(1635,plain,
% 72.26/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB9, constB10)) | v127(constB9, bitIndex1) | (~v129(constB10, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB9, constB10)) | v127(constB9, bitIndex1) | (~v129(constB10, bitIndex1)))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1636,plain,
% 72.26/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB9, constB10)) | v127(constB9, bitIndex1) | (~v129(constB10, bitIndex1)))),
% 72.26/45.10 inference(quant_inst,[status(thm)],[])).
% 72.26/45.10 tff(1637,plain,
% 72.26/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB9, constB10)) | v127(constB9, bitIndex1) | (~v129(constB10, bitIndex1))),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1636, 1635])).
% 72.26/45.10 tff(1638,plain,
% 72.26/45.10 (v127(constB9, bitIndex1) | (~v129(constB10, bitIndex1))),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1637, 588, 1519])).
% 72.26/45.10 tff(1639,plain,
% 72.26/45.10 (~v129(constB10, bitIndex1)),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1638, 1634])).
% 72.26/45.10 tff(1640,plain,
% 72.26/45.10 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10)))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1641,plain,
% 72.26/45.10 (((~v90(constB10, bitIndex1)) | (~v100(constB10)) | v129(constB10, bitIndex1)) <=> ((~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10)))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1642,plain,
% 72.26/45.10 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | (~v100(constB10)) | v129(constB10, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10))))),
% 72.26/45.10 inference(monotonicity,[status(thm)],[1641])).
% 72.26/45.10 tff(1643,plain,
% 72.26/45.10 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | (~v100(constB10)) | v129(constB10, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10)))),
% 72.26/45.10 inference(transitivity,[status(thm)],[1642, 1640])).
% 72.26/45.10 tff(1644,plain,
% 72.26/45.10 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | (~v100(constB10)) | v129(constB10, bitIndex1))),
% 72.26/45.10 inference(quant_inst,[status(thm)],[])).
% 72.26/45.10 tff(1645,plain,
% 72.26/45.10 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10))),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1644, 1643])).
% 72.26/45.10 tff(1646,plain,
% 72.26/45.10 ((~v90(constB10, bitIndex1)) | (~v100(constB10))),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1645, 603, 1639])).
% 72.26/45.10 tff(1647,plain,
% 72.26/45.10 (~v90(constB10, bitIndex1)),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1646, 1553])).
% 72.26/45.10 tff(1648,plain,
% 72.26/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex1)))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1649,plain,
% 72.26/45.10 (((~nextState(constB10, constB11)) | v90(constB10, bitIndex1) | v100(constB11) | (~v90(constB11, bitIndex1))) <=> (v90(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex1)))),
% 72.26/45.10 inference(rewrite,[status(thm)],[])).
% 72.26/45.10 tff(1650,plain,
% 72.26/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex1) | v100(constB11) | (~v90(constB11, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex1))))),
% 72.26/45.10 inference(monotonicity,[status(thm)],[1649])).
% 72.26/45.10 tff(1651,plain,
% 72.26/45.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex1) | v100(constB11) | (~v90(constB11, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex1)))),
% 72.26/45.10 inference(transitivity,[status(thm)],[1650, 1648])).
% 72.26/45.10 tff(1652,plain,
% 72.26/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex1) | v100(constB11) | (~v90(constB11, bitIndex1)))),
% 72.26/45.10 inference(quant_inst,[status(thm)],[])).
% 72.26/45.10 tff(1653,plain,
% 72.26/45.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex1))),
% 72.26/45.10 inference(modus_ponens,[status(thm)],[1652, 1651])).
% 72.26/45.10 tff(1654,plain,
% 72.26/45.10 (v90(constB10, bitIndex1) | v100(constB11) | (~v90(constB11, bitIndex1))),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1653, 109, 1591])).
% 72.26/45.10 tff(1655,plain,
% 72.26/45.10 (v90(constB10, bitIndex1) | (~v90(constB11, bitIndex1))),
% 72.26/45.10 inference(unit_resolution,[status(thm)],[1654, 1603])).
% 72.26/45.11 tff(1656,plain,
% 72.26/45.11 (~v90(constB11, bitIndex1)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1655, 1647])).
% 72.26/45.11 tff(1657,plain,
% 72.26/45.11 (^[VarCurr: $i] : refl(((~v123(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 72.26/45.11 inference(bind,[status(th)],[])).
% 72.26/45.11 tff(1658,plain,
% 72.26/45.11 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.26/45.11 inference(quant_intro,[status(thm)],[1657])).
% 72.26/45.11 tff(1659,plain,
% 72.26/45.11 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1660,plain,
% 72.26/45.11 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex0) | (~v123(VarCurr))) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 72.26/45.11 inference(bind,[status(th)],[])).
% 72.26/45.11 tff(1661,plain,
% 72.26/45.11 (![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.26/45.11 inference(quant_intro,[status(thm)],[1660])).
% 72.26/45.11 tff(1662,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1')).
% 72.26/45.11 tff(1663,plain,
% 72.26/45.11 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1662, 1661])).
% 72.26/45.11 tff(1664,plain,
% 72.26/45.11 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1663, 1659])).
% 72.26/45.11 tff(1665,plain,(
% 72.26/45.11 ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.26/45.11 inference(skolemize,[status(sab)],[1664])).
% 72.26/45.11 tff(1666,plain,
% 72.26/45.11 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1665, 1658])).
% 72.26/45.11 tff(1667,plain,
% 72.26/45.11 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB9)) | v130(constB9, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB9)) | v130(constB9, bitIndex0))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1668,plain,
% 72.26/45.11 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB9)) | v130(constB9, bitIndex0))),
% 72.26/45.11 inference(quant_inst,[status(thm)],[])).
% 72.26/45.11 tff(1669,plain,
% 72.26/45.11 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB9)) | v130(constB9, bitIndex0)),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1668, 1667])).
% 72.26/45.11 tff(1670,plain,
% 72.26/45.11 (v130(constB9, bitIndex0)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1669, 1666, 1481])).
% 72.26/45.11 tff(1671,plain,
% 72.26/45.11 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1672,plain,
% 72.26/45.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0))),
% 72.26/45.11 inference(quant_inst,[status(thm)],[])).
% 72.26/45.11 tff(1673,plain,
% 72.26/45.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0)),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1672, 1671])).
% 72.26/45.11 tff(1674,plain,
% 72.26/45.11 ((~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1673, 179, 1504])).
% 72.26/45.11 tff(1675,plain,
% 72.26/45.11 (v127(constB9, bitIndex0)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1674, 1670])).
% 72.26/45.11 tff(1676,plain,
% 72.26/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1677,plain,
% 72.26/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0))),
% 72.26/45.11 inference(quant_inst,[status(thm)],[])).
% 72.26/45.11 tff(1678,plain,
% 72.26/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0)),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1677, 1676])).
% 72.26/45.11 tff(1679,plain,
% 72.26/45.11 ((~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1678, 197, 1519])).
% 72.26/45.11 tff(1680,plain,
% 72.26/45.11 (v129(constB10, bitIndex0)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1679, 1675])).
% 72.26/45.11 tff(1681,plain,
% 72.26/45.11 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1682,plain,
% 72.26/45.11 ((v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0))) <=> (v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1683,plain,
% 72.26/45.11 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10))))),
% 72.26/45.11 inference(monotonicity,[status(thm)],[1682])).
% 72.26/45.11 tff(1684,plain,
% 72.26/45.11 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))),
% 72.26/45.11 inference(transitivity,[status(thm)],[1683, 1681])).
% 72.26/45.11 tff(1685,plain,
% 72.26/45.11 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0)))),
% 72.26/45.11 inference(quant_inst,[status(thm)],[])).
% 72.26/45.11 tff(1686,plain,
% 72.26/45.11 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10))),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1685, 1684])).
% 72.26/45.11 tff(1687,plain,
% 72.26/45.11 (v90(constB10, bitIndex0) | (~v100(constB10))),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1686, 401, 1680])).
% 72.26/45.11 tff(1688,plain,
% 72.26/45.11 (v90(constB10, bitIndex0)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1687, 1553])).
% 72.26/45.11 tff(1689,plain,
% 72.26/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1690,plain,
% 72.26/45.11 (((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0)) <=> ((~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1691,plain,
% 72.26/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0)))),
% 72.26/45.11 inference(monotonicity,[status(thm)],[1690])).
% 72.26/45.11 tff(1692,plain,
% 72.26/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))),
% 72.26/45.11 inference(transitivity,[status(thm)],[1691, 1689])).
% 72.26/45.11 tff(1693,plain,
% 72.26/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0))),
% 72.26/45.11 inference(quant_inst,[status(thm)],[])).
% 72.26/45.11 tff(1694,plain,
% 72.26/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0)),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1693, 1692])).
% 72.26/45.11 tff(1695,plain,
% 72.26/45.11 ((~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1694, 437, 1591])).
% 72.26/45.11 tff(1696,plain,
% 72.26/45.11 ((~v90(constB10, bitIndex0)) | v90(constB11, bitIndex0)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1695, 1603])).
% 72.26/45.11 tff(1697,plain,
% 72.26/45.11 (v90(constB11, bitIndex0)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1696, 1688])).
% 72.26/45.11 tff(1698,plain,
% 72.26/45.11 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)))),
% 72.26/45.11 inference(bind,[status(th)],[])).
% 72.26/45.11 tff(1699,plain,
% 72.26/45.11 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 72.26/45.11 inference(quant_intro,[status(thm)],[1698])).
% 72.26/45.11 tff(1700,plain,
% 72.26/45.11 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1701,plain,
% 72.26/45.11 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v124(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))), ((((v124(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex1)) <=> (((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) | v90(VarCurr, bitIndex1)))), rewrite((((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr)) | v90(VarCurr, bitIndex1)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))), ((((v124(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex1)) <=> ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))))),
% 72.26/45.11 inference(bind,[status(th)],[])).
% 72.26/45.11 tff(1702,plain,
% 72.26/45.11 (![VarCurr: $i] : (((v124(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 72.26/45.11 inference(quant_intro,[status(thm)],[1701])).
% 72.26/45.11 tff(1703,axiom,(![VarCurr: $i] : (((v124(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex0))) | v90(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_1')).
% 72.26/45.11 tff(1704,plain,
% 72.26/45.11 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1703, 1702])).
% 72.26/45.11 tff(1705,plain,
% 72.26/45.11 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1704, 1700])).
% 72.26/45.11 tff(1706,plain,(
% 72.26/45.11 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 72.26/45.11 inference(skolemize,[status(sab)],[1705])).
% 72.26/45.11 tff(1707,plain,
% 72.26/45.11 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1706, 1699])).
% 72.26/45.11 tff(1708,plain,
% 72.26/45.11 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB11, bitIndex0)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | v124(constB11))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB11, bitIndex0)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | v124(constB11))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1709,plain,
% 72.26/45.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB11, bitIndex0)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | v124(constB11))),
% 72.26/45.11 inference(quant_inst,[status(thm)],[])).
% 72.26/45.11 tff(1710,plain,
% 72.26/45.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB11, bitIndex0)) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | v124(constB11)),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1709, 1708])).
% 72.26/45.11 tff(1711,plain,
% 72.26/45.11 (v124(constB11)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1710, 1707, 1697, 1656, 1612])).
% 72.26/45.11 tff(1712,plain,
% 72.26/45.11 (^[VarCurr: $i] : refl((v114(VarCurr) | (~v124(VarCurr))) <=> (v114(VarCurr) | (~v124(VarCurr))))),
% 72.26/45.11 inference(bind,[status(th)],[])).
% 72.26/45.11 tff(1713,plain,
% 72.26/45.11 (![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 72.26/45.11 inference(quant_intro,[status(thm)],[1712])).
% 72.26/45.11 tff(1714,plain,
% 72.26/45.11 (![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1715,axiom,(![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_1')).
% 72.26/45.11 tff(1716,plain,
% 72.26/45.11 (![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1715, 1714])).
% 72.26/45.11 tff(1717,plain,(
% 72.26/45.11 ![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 72.26/45.11 inference(skolemize,[status(sab)],[1716])).
% 72.26/45.11 tff(1718,plain,
% 72.26/45.11 (![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1717, 1713])).
% 72.26/45.11 tff(1719,plain,
% 72.26/45.11 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB11) | (~v124(constB11)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB11) | (~v124(constB11)))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1720,plain,
% 72.26/45.11 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB11) | (~v124(constB11)))),
% 72.26/45.11 inference(quant_inst,[status(thm)],[])).
% 72.26/45.11 tff(1721,plain,
% 72.26/45.11 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB11) | (~v124(constB11))),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1720, 1719])).
% 72.26/45.11 tff(1722,plain,
% 72.26/45.11 (v114(constB11)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1721, 1718, 1711])).
% 72.26/45.11 tff(1723,plain,
% 72.26/45.11 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB11) | (~v114(constB11)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB11) | (~v114(constB11)))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1724,plain,
% 72.26/45.11 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB11) | (~v114(constB11)))),
% 72.26/45.11 inference(quant_inst,[status(thm)],[])).
% 72.26/45.11 tff(1725,plain,
% 72.26/45.11 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB11) | (~v114(constB11))),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1724, 1723])).
% 72.26/45.11 tff(1726,plain,
% 72.26/45.11 (v113(constB11)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1725, 287, 1722])).
% 72.26/45.11 tff(1727,assumption,(v26(constB11)), introduced(assumption)).
% 72.26/45.11 tff(1728,plain,
% 72.26/45.11 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB11))),
% 72.26/45.11 inference(quant_inst,[status(thm)],[])).
% 72.26/45.11 tff(1729,plain,
% 72.26/45.11 ($false),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1728, 37, 1727])).
% 72.26/45.11 tff(1730,plain,(~v26(constB11)), inference(lemma,lemma(discharge,[]))).
% 72.26/45.11 tff(1731,plain,
% 72.26/45.11 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | (~v113(constB11)) | v112(constB11))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1732,plain,
% 72.26/45.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))),
% 72.26/45.11 inference(quant_inst,[status(thm)],[])).
% 72.26/45.11 tff(1733,plain,
% 72.26/45.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | (~v113(constB11)) | v112(constB11)),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1732, 1731])).
% 72.26/45.11 tff(1734,plain,
% 72.26/45.11 ((~v113(constB11)) | v112(constB11)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1733, 301, 1730])).
% 72.26/45.11 tff(1735,plain,
% 72.26/45.11 (v112(constB11)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1734, 1726])).
% 72.26/45.11 tff(1736,plain,
% 72.26/45.11 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB11) | (~v112(constB11)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB11) | (~v112(constB11)))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1737,plain,
% 72.26/45.11 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB11) | (~v112(constB11)))),
% 72.26/45.11 inference(quant_inst,[status(thm)],[])).
% 72.26/45.11 tff(1738,plain,
% 72.26/45.11 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB11) | (~v112(constB11))),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1737, 1736])).
% 72.26/45.11 tff(1739,plain,
% 72.26/45.11 (v108(constB11)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1738, 210, 1735])).
% 72.26/45.11 tff(1740,plain,
% 72.26/45.11 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1741,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_11_1')).
% 72.26/45.11 tff(1742,plain,
% 72.26/45.11 (nextState(constB11, constB12)),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1741, 1740])).
% 72.26/45.11 tff(1743,plain,
% 72.26/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1744,plain,
% 72.26/45.11 (((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12)) <=> ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1745,plain,
% 72.26/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11))))),
% 72.26/45.11 inference(monotonicity,[status(thm)],[1744])).
% 72.26/45.11 tff(1746,plain,
% 72.26/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 72.26/45.11 inference(transitivity,[status(thm)],[1745, 1743])).
% 72.26/45.11 tff(1747,plain,
% 72.26/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))),
% 72.26/45.11 inference(quant_inst,[status(thm)],[])).
% 72.26/45.11 tff(1748,plain,
% 72.26/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11))),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1747, 1746])).
% 72.26/45.11 tff(1749,plain,
% 72.26/45.11 (v110(constB12) | (~v108(constB11))),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1748, 317, 1742])).
% 72.26/45.11 tff(1750,plain,
% 72.26/45.11 (v110(constB12)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1749, 1739])).
% 72.26/45.11 tff(1751,plain,
% 72.26/45.11 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1752,plain,
% 72.26/45.11 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))),
% 72.26/45.11 inference(quant_inst,[status(thm)],[])).
% 72.26/45.11 tff(1753,plain,
% 72.26/45.11 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12))),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1752, 1751])).
% 72.26/45.11 tff(1754,plain,
% 72.26/45.11 (~v104(constB12)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1753, 335, 1742, 1588])).
% 72.26/45.11 tff(1755,plain,
% 72.26/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1756,plain,
% 72.26/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))),
% 72.26/45.11 inference(quant_inst,[status(thm)],[])).
% 72.26/45.11 tff(1757,plain,
% 72.26/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v102(constB12) | v104(constB12)),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1756, 1755])).
% 72.26/45.11 tff(1758,plain,
% 72.26/45.11 (v102(constB12) | v104(constB12)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1757, 349, 1742])).
% 72.26/45.11 tff(1759,plain,
% 72.26/45.11 (v102(constB12)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1758, 1754])).
% 72.26/45.11 tff(1760,plain,
% 72.26/45.11 (v1(constB12) <=> v1(constB12)),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1761,axiom,(v1(constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_12_1')).
% 72.26/45.11 tff(1762,plain,
% 72.26/45.11 (v1(constB12)),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1761, 1760])).
% 72.26/45.11 tff(1763,plain,
% 72.26/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1764,plain,
% 72.26/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))),
% 72.26/45.11 inference(quant_inst,[status(thm)],[])).
% 72.26/45.11 tff(1765,plain,
% 72.26/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12))),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1764, 1763])).
% 72.26/45.11 tff(1766,plain,
% 72.26/45.11 (v101(constB12) | (~v102(constB12))),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1765, 367, 1742, 1762])).
% 72.26/45.11 tff(1767,plain,
% 72.26/45.11 (v101(constB12)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1766, 1759])).
% 72.26/45.11 tff(1768,plain,
% 72.26/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1769,plain,
% 72.26/45.11 (((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12)) <=> ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1770,plain,
% 72.26/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12))))),
% 72.26/45.11 inference(monotonicity,[status(thm)],[1769])).
% 72.26/45.11 tff(1771,plain,
% 72.26/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 72.26/45.11 inference(transitivity,[status(thm)],[1770, 1768])).
% 72.26/45.11 tff(1772,plain,
% 72.26/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))),
% 72.26/45.11 inference(quant_inst,[status(thm)],[])).
% 72.26/45.11 tff(1773,plain,
% 72.26/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12))),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1772, 1771])).
% 72.26/45.11 tff(1774,plain,
% 72.26/45.11 (v100(constB12) | (~v101(constB12)) | (~v110(constB12))),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1773, 382, 1742])).
% 72.26/45.11 tff(1775,plain,
% 72.26/45.11 (v100(constB12) | (~v110(constB12))),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1774, 1767])).
% 72.26/45.11 tff(1776,plain,
% 72.26/45.11 (v100(constB12)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1775, 1750])).
% 72.26/45.11 tff(1777,plain,
% 72.26/45.11 (^[VarCurr: $i] : refl(((~v124(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 72.26/45.11 inference(bind,[status(th)],[])).
% 72.26/45.11 tff(1778,plain,
% 72.26/45.11 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.26/45.11 inference(quant_intro,[status(thm)],[1777])).
% 72.26/45.11 tff(1779,plain,
% 72.26/45.11 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1780,plain,
% 72.26/45.11 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex2) | (~v124(VarCurr))) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 72.26/45.11 inference(bind,[status(th)],[])).
% 72.26/45.11 tff(1781,plain,
% 72.26/45.11 (![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.26/45.11 inference(quant_intro,[status(thm)],[1780])).
% 72.26/45.11 tff(1782,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_3')).
% 72.26/45.11 tff(1783,plain,
% 72.26/45.11 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1782, 1781])).
% 72.26/45.11 tff(1784,plain,
% 72.26/45.11 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1783, 1779])).
% 72.26/45.11 tff(1785,plain,(
% 72.26/45.11 ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.26/45.11 inference(skolemize,[status(sab)],[1784])).
% 72.26/45.11 tff(1786,plain,
% 72.26/45.11 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1785, 1778])).
% 72.26/45.11 tff(1787,plain,
% 72.26/45.11 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB11)) | v130(constB11, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB11)) | v130(constB11, bitIndex2))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1788,plain,
% 72.26/45.11 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB11)) | v130(constB11, bitIndex2))),
% 72.26/45.11 inference(quant_inst,[status(thm)],[])).
% 72.26/45.11 tff(1789,plain,
% 72.26/45.11 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB11)) | v130(constB11, bitIndex2)),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1788, 1787])).
% 72.26/45.11 tff(1790,plain,
% 72.26/45.11 (v130(constB11, bitIndex2)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1789, 1786, 1711])).
% 72.26/45.11 tff(1791,plain,
% 72.26/45.11 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1792,plain,
% 72.26/45.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2))),
% 72.26/45.11 inference(quant_inst,[status(thm)],[])).
% 72.26/45.11 tff(1793,plain,
% 72.26/45.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2)),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1792, 1791])).
% 72.26/45.11 tff(1794,plain,
% 72.26/45.11 ((~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1793, 1304, 1730])).
% 72.26/45.11 tff(1795,plain,
% 72.26/45.11 (v127(constB11, bitIndex2)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1794, 1790])).
% 72.26/45.11 tff(1796,plain,
% 72.26/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1797,plain,
% 72.26/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2))),
% 72.26/45.11 inference(quant_inst,[status(thm)],[])).
% 72.26/45.11 tff(1798,plain,
% 72.26/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2)),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1797, 1796])).
% 72.26/45.11 tff(1799,plain,
% 72.26/45.11 ((~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1798, 1319, 1742])).
% 72.26/45.11 tff(1800,plain,
% 72.26/45.11 (v129(constB12, bitIndex2)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1799, 1795])).
% 72.26/45.11 tff(1801,plain,
% 72.26/45.11 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1802,plain,
% 72.26/45.11 ((v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2))) <=> (v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1803,plain,
% 72.26/45.11 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12))))),
% 72.26/45.11 inference(monotonicity,[status(thm)],[1802])).
% 72.26/45.11 tff(1804,plain,
% 72.26/45.11 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))),
% 72.26/45.11 inference(transitivity,[status(thm)],[1803, 1801])).
% 72.26/45.11 tff(1805,plain,
% 72.26/45.11 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2)))),
% 72.26/45.11 inference(quant_inst,[status(thm)],[])).
% 72.26/45.11 tff(1806,plain,
% 72.26/45.11 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12))),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1805, 1804])).
% 72.26/45.11 tff(1807,plain,
% 72.26/45.11 (v90(constB12, bitIndex2) | (~v100(constB12))),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1806, 1334, 1800])).
% 72.26/45.11 tff(1808,plain,
% 72.26/45.11 (v90(constB12, bitIndex2)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1807, 1776])).
% 72.26/45.11 tff(1809,plain,
% 72.26/45.11 ((~v1(constB13)) <=> (~v1(constB13))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1810,axiom,(~v1(constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_13_1_1')).
% 72.26/45.11 tff(1811,plain,
% 72.26/45.11 (~v1(constB13)),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1810, 1809])).
% 72.26/45.11 tff(1812,plain,
% 72.26/45.11 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1813,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_12_1')).
% 72.26/45.11 tff(1814,plain,
% 72.26/45.11 (nextState(constB12, constB13)),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1813, 1812])).
% 72.26/45.11 tff(1815,plain,
% 72.26/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1816,plain,
% 72.26/45.11 (((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13)) <=> (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1817,plain,
% 72.26/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13))))),
% 72.26/45.11 inference(monotonicity,[status(thm)],[1816])).
% 72.26/45.11 tff(1818,plain,
% 72.26/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 72.26/45.11 inference(transitivity,[status(thm)],[1817, 1815])).
% 72.26/45.11 tff(1819,plain,
% 72.26/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))),
% 72.26/45.11 inference(quant_inst,[status(thm)],[])).
% 72.26/45.11 tff(1820,plain,
% 72.26/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13))),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1819, 1818])).
% 72.26/45.11 tff(1821,plain,
% 72.26/45.11 (~v101(constB13)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1820, 56, 1814, 1811])).
% 72.26/45.11 tff(1822,plain,
% 72.26/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1823,plain,
% 72.26/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))),
% 72.26/45.11 inference(quant_inst,[status(thm)],[])).
% 72.26/45.11 tff(1824,plain,
% 72.26/45.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13))),
% 72.26/45.11 inference(modus_ponens,[status(thm)],[1823, 1822])).
% 72.26/45.11 tff(1825,plain,
% 72.26/45.11 (v101(constB13) | (~v100(constB13))),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1824, 73, 1814])).
% 72.26/45.11 tff(1826,plain,
% 72.26/45.11 (~v100(constB13)),
% 72.26/45.11 inference(unit_resolution,[status(thm)],[1825, 1821])).
% 72.26/45.11 tff(1827,plain,
% 72.26/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1828,plain,
% 72.26/45.11 (((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2)) <=> ((~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))),
% 72.26/45.11 inference(rewrite,[status(thm)],[])).
% 72.26/45.11 tff(1829,plain,
% 72.26/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2)))),
% 72.26/45.11 inference(monotonicity,[status(thm)],[1828])).
% 72.26/45.11 tff(1830,plain,
% 72.26/45.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))),
% 72.29/45.12 inference(transitivity,[status(thm)],[1829, 1827])).
% 72.29/45.12 tff(1831,plain,
% 72.29/45.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2))),
% 72.29/45.12 inference(quant_inst,[status(thm)],[])).
% 72.29/45.12 tff(1832,plain,
% 72.29/45.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2)),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1831, 1830])).
% 72.29/45.12 tff(1833,plain,
% 72.29/45.12 ((~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2)),
% 72.29/45.12 inference(unit_resolution,[status(thm)],[1832, 1370, 1814])).
% 72.29/45.12 tff(1834,plain,
% 72.29/45.12 ((~v90(constB12, bitIndex2)) | v90(constB13, bitIndex2)),
% 72.29/45.12 inference(unit_resolution,[status(thm)],[1833, 1826])).
% 72.29/45.12 tff(1835,plain,
% 72.29/45.12 (v90(constB13, bitIndex2)),
% 72.29/45.12 inference(unit_resolution,[status(thm)],[1834, 1808])).
% 72.29/45.12 tff(1836,plain,
% 72.29/45.12 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr))))),
% 72.29/45.12 inference(bind,[status(th)],[])).
% 72.29/45.12 tff(1837,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 72.29/45.12 inference(quant_intro,[status(thm)],[1836])).
% 72.29/45.12 tff(1838,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1839,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_3')).
% 72.29/45.12 tff(1840,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1839, 1838])).
% 72.29/45.12 tff(1841,plain,(
% 72.29/45.12 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 72.29/45.12 inference(skolemize,[status(sab)],[1840])).
% 72.29/45.12 tff(1842,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1841, 1837])).
% 72.29/45.12 tff(1843,plain,
% 72.29/45.12 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB13, bitIndex2)) | (~v121(constB13)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB13, bitIndex2)) | (~v121(constB13)))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1844,plain,
% 72.29/45.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB13, bitIndex2)) | (~v121(constB13)))),
% 72.29/45.12 inference(quant_inst,[status(thm)],[])).
% 72.29/45.12 tff(1845,plain,
% 72.29/45.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB13, bitIndex2)) | (~v121(constB13))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1844, 1843])).
% 72.29/45.12 tff(1846,plain,
% 72.29/45.12 (~v121(constB13)),
% 72.29/45.12 inference(unit_resolution,[status(thm)],[1845, 1842, 1835])).
% 72.29/45.12 tff(1847,plain,
% 72.29/45.12 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr))) <=> ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr))))),
% 72.29/45.12 inference(bind,[status(th)],[])).
% 72.29/45.12 tff(1848,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 72.29/45.12 inference(quant_intro,[status(thm)],[1847])).
% 72.29/45.12 tff(1849,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1850,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_4')).
% 72.29/45.12 tff(1851,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1850, 1849])).
% 72.29/45.12 tff(1852,plain,(
% 72.29/45.12 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 72.29/45.12 inference(skolemize,[status(sab)],[1851])).
% 72.29/45.12 tff(1853,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1852, 1848])).
% 72.29/45.12 tff(1854,plain,
% 72.29/45.12 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB13, bitIndex2)) | (~v122(constB13)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB13, bitIndex2)) | (~v122(constB13)))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1855,plain,
% 72.29/45.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB13, bitIndex2)) | (~v122(constB13)))),
% 72.29/45.12 inference(quant_inst,[status(thm)],[])).
% 72.29/45.12 tff(1856,plain,
% 72.29/45.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB13, bitIndex2)) | (~v122(constB13))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1855, 1854])).
% 72.29/45.12 tff(1857,plain,
% 72.29/45.12 (~v122(constB13)),
% 72.29/45.12 inference(unit_resolution,[status(thm)],[1856, 1853, 1835])).
% 72.29/45.12 tff(1858,plain,
% 72.29/45.12 (^[VarCurr: $i] : refl(((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 72.29/45.12 inference(bind,[status(th)],[])).
% 72.29/45.12 tff(1859,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.29/45.12 inference(quant_intro,[status(thm)],[1858])).
% 72.29/45.12 tff(1860,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1861,plain,
% 72.29/45.12 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex1) | (~v124(VarCurr))) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 72.29/45.12 inference(bind,[status(th)],[])).
% 72.29/45.12 tff(1862,plain,
% 72.29/45.12 (![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.29/45.12 inference(quant_intro,[status(thm)],[1861])).
% 72.29/45.12 tff(1863,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_2')).
% 72.29/45.12 tff(1864,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1863, 1862])).
% 72.29/45.12 tff(1865,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1864, 1860])).
% 72.29/45.12 tff(1866,plain,(
% 72.29/45.12 ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.29/45.12 inference(skolemize,[status(sab)],[1865])).
% 72.29/45.12 tff(1867,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1866, 1859])).
% 72.29/45.12 tff(1868,plain,
% 72.29/45.12 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB11)) | v130(constB11, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB11)) | v130(constB11, bitIndex1))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1869,plain,
% 72.29/45.12 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB11)) | v130(constB11, bitIndex1))),
% 72.29/45.12 inference(quant_inst,[status(thm)],[])).
% 72.29/45.12 tff(1870,plain,
% 72.29/45.12 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB11)) | v130(constB11, bitIndex1)),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1869, 1868])).
% 72.29/45.12 tff(1871,plain,
% 72.29/45.12 (v130(constB11, bitIndex1)),
% 72.29/45.12 inference(unit_resolution,[status(thm)],[1870, 1867, 1711])).
% 72.29/45.12 tff(1872,plain,
% 72.29/45.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB11) | (~v130(constB11, bitIndex1)) | v127(constB11, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB11) | (~v130(constB11, bitIndex1)) | v127(constB11, bitIndex1))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1873,plain,
% 72.29/45.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB11) | (~v130(constB11, bitIndex1)) | v127(constB11, bitIndex1))),
% 72.29/45.12 inference(quant_inst,[status(thm)],[])).
% 72.29/45.12 tff(1874,plain,
% 72.29/45.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB11) | (~v130(constB11, bitIndex1)) | v127(constB11, bitIndex1)),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1873, 1872])).
% 72.29/45.12 tff(1875,plain,
% 72.29/45.12 ((~v130(constB11, bitIndex1)) | v127(constB11, bitIndex1)),
% 72.29/45.12 inference(unit_resolution,[status(thm)],[1874, 824, 1730])).
% 72.29/45.12 tff(1876,plain,
% 72.29/45.12 (v127(constB11, bitIndex1)),
% 72.29/45.12 inference(unit_resolution,[status(thm)],[1875, 1871])).
% 72.29/45.12 tff(1877,plain,
% 72.29/45.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB11, constB12)) | (~v127(constB11, bitIndex1)) | v129(constB12, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB11, constB12)) | (~v127(constB11, bitIndex1)) | v129(constB12, bitIndex1))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1878,plain,
% 72.29/45.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB11, constB12)) | (~v127(constB11, bitIndex1)) | v129(constB12, bitIndex1))),
% 72.29/45.12 inference(quant_inst,[status(thm)],[])).
% 72.29/45.12 tff(1879,plain,
% 72.29/45.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB11, constB12)) | (~v127(constB11, bitIndex1)) | v129(constB12, bitIndex1)),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1878, 1877])).
% 72.29/45.12 tff(1880,plain,
% 72.29/45.12 ((~v127(constB11, bitIndex1)) | v129(constB12, bitIndex1)),
% 72.29/45.12 inference(unit_resolution,[status(thm)],[1879, 839, 1742])).
% 72.29/45.12 tff(1881,plain,
% 72.29/45.12 (v129(constB12, bitIndex1)),
% 72.29/45.12 inference(unit_resolution,[status(thm)],[1880, 1876])).
% 72.29/45.12 tff(1882,plain,
% 72.29/45.12 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1)) | (~v100(constB12)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1)) | (~v100(constB12)))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1883,plain,
% 72.29/45.12 ((v90(constB12, bitIndex1) | (~v100(constB12)) | (~v129(constB12, bitIndex1))) <=> (v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1)) | (~v100(constB12)))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1884,plain,
% 72.29/45.12 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~v100(constB12)) | (~v129(constB12, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1)) | (~v100(constB12))))),
% 72.29/45.12 inference(monotonicity,[status(thm)],[1883])).
% 72.29/45.12 tff(1885,plain,
% 72.29/45.12 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~v100(constB12)) | (~v129(constB12, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1)) | (~v100(constB12)))),
% 72.29/45.12 inference(transitivity,[status(thm)],[1884, 1882])).
% 72.29/45.12 tff(1886,plain,
% 72.29/45.12 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~v100(constB12)) | (~v129(constB12, bitIndex1)))),
% 72.29/45.12 inference(quant_inst,[status(thm)],[])).
% 72.29/45.12 tff(1887,plain,
% 72.29/45.12 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1)) | (~v100(constB12))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1886, 1885])).
% 72.29/45.12 tff(1888,plain,
% 72.29/45.12 (v90(constB12, bitIndex1) | (~v100(constB12))),
% 72.29/45.12 inference(unit_resolution,[status(thm)],[1887, 854, 1881])).
% 72.29/45.12 tff(1889,plain,
% 72.29/45.12 (v90(constB12, bitIndex1)),
% 72.29/45.12 inference(unit_resolution,[status(thm)],[1888, 1776])).
% 72.29/45.12 tff(1890,plain,
% 72.29/45.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex1))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1891,plain,
% 72.29/45.12 (((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex1)) | v100(constB13) | v90(constB13, bitIndex1)) <=> ((~v90(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex1))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1892,plain,
% 72.29/45.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex1)) | v100(constB13) | v90(constB13, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex1)))),
% 72.29/45.12 inference(monotonicity,[status(thm)],[1891])).
% 72.29/45.12 tff(1893,plain,
% 72.29/45.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex1)) | v100(constB13) | v90(constB13, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex1))),
% 72.29/45.12 inference(transitivity,[status(thm)],[1892, 1890])).
% 72.29/45.12 tff(1894,plain,
% 72.29/45.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex1)) | v100(constB13) | v90(constB13, bitIndex1))),
% 72.29/45.12 inference(quant_inst,[status(thm)],[])).
% 72.29/45.12 tff(1895,plain,
% 72.29/45.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex1)),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1894, 1893])).
% 72.29/45.12 tff(1896,plain,
% 72.29/45.12 ((~v90(constB12, bitIndex1)) | v100(constB13) | v90(constB13, bitIndex1)),
% 72.29/45.12 inference(unit_resolution,[status(thm)],[1895, 872, 1814])).
% 72.29/45.12 tff(1897,plain,
% 72.29/45.12 ((~v90(constB12, bitIndex1)) | v90(constB13, bitIndex1)),
% 72.29/45.12 inference(unit_resolution,[status(thm)],[1896, 1826])).
% 72.29/45.12 tff(1898,plain,
% 72.29/45.12 (v90(constB13, bitIndex1)),
% 72.29/45.12 inference(unit_resolution,[status(thm)],[1897, 1889])).
% 72.29/45.12 tff(1899,plain,
% 72.29/45.12 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))))),
% 72.29/45.12 inference(bind,[status(th)],[])).
% 72.29/45.12 tff(1900,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 72.29/45.12 inference(quant_intro,[status(thm)],[1899])).
% 72.29/45.12 tff(1901,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1902,plain,
% 72.29/45.12 (^[VarCurr: $i] : rewrite(((~v90(VarCurr, bitIndex1)) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))))),
% 72.29/45.12 inference(bind,[status(th)],[])).
% 72.29/45.12 tff(1903,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 72.29/45.12 inference(quant_intro,[status(thm)],[1902])).
% 72.29/45.12 tff(1904,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_3')).
% 72.29/45.12 tff(1905,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1904, 1903])).
% 72.29/45.12 tff(1906,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1905, 1901])).
% 72.29/45.12 tff(1907,plain,(
% 72.29/45.12 ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 72.29/45.12 inference(skolemize,[status(sab)],[1906])).
% 72.29/45.12 tff(1908,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1907, 1900])).
% 72.29/45.12 tff(1909,plain,
% 72.29/45.12 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB13)) | (~v90(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB13)) | (~v90(constB13, bitIndex1)))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1910,plain,
% 72.29/45.12 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB13)) | (~v90(constB13, bitIndex1)))),
% 72.29/45.12 inference(quant_inst,[status(thm)],[])).
% 72.29/45.12 tff(1911,plain,
% 72.29/45.12 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB13)) | (~v90(constB13, bitIndex1))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1910, 1909])).
% 72.29/45.12 tff(1912,plain,
% 72.29/45.12 (~v119(constB13)),
% 72.29/45.12 inference(unit_resolution,[status(thm)],[1911, 1908, 1898])).
% 72.29/45.12 tff(1913,plain,
% 72.29/45.12 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr))) <=> ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr))))),
% 72.29/45.12 inference(bind,[status(th)],[])).
% 72.29/45.12 tff(1914,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 72.29/45.12 inference(quant_intro,[status(thm)],[1913])).
% 72.29/45.12 tff(1915,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1916,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_4')).
% 72.29/45.12 tff(1917,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1916, 1915])).
% 72.29/45.12 tff(1918,plain,(
% 72.29/45.12 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 72.29/45.12 inference(skolemize,[status(sab)],[1917])).
% 72.29/45.12 tff(1919,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1918, 1914])).
% 72.29/45.12 tff(1920,plain,
% 72.29/45.12 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB13, bitIndex1)) | (~v120(constB13)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB13, bitIndex1)) | (~v120(constB13)))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1921,plain,
% 72.29/45.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB13, bitIndex1)) | (~v120(constB13)))),
% 72.29/45.12 inference(quant_inst,[status(thm)],[])).
% 72.29/45.12 tff(1922,plain,
% 72.29/45.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB13, bitIndex1)) | (~v120(constB13))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1921, 1920])).
% 72.29/45.12 tff(1923,plain,
% 72.29/45.12 (~v120(constB13)),
% 72.29/45.12 inference(unit_resolution,[status(thm)],[1922, 1919, 1898])).
% 72.29/45.12 tff(1924,plain,
% 72.29/45.12 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr))) <=> ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr))))),
% 72.29/45.12 inference(bind,[status(th)],[])).
% 72.29/45.12 tff(1925,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 72.29/45.12 inference(quant_intro,[status(thm)],[1924])).
% 72.29/45.12 tff(1926,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1927,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_3')).
% 72.29/45.12 tff(1928,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1927, 1926])).
% 72.29/45.12 tff(1929,plain,(
% 72.29/45.12 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 72.29/45.12 inference(skolemize,[status(sab)],[1928])).
% 72.29/45.12 tff(1930,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1929, 1925])).
% 72.29/45.12 tff(1931,plain,
% 72.29/45.12 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB13, bitIndex1)) | (~v123(constB13)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB13, bitIndex1)) | (~v123(constB13)))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1932,plain,
% 72.29/45.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB13, bitIndex1)) | (~v123(constB13)))),
% 72.29/45.12 inference(quant_inst,[status(thm)],[])).
% 72.29/45.12 tff(1933,plain,
% 72.29/45.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB13, bitIndex1)) | (~v123(constB13))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1932, 1931])).
% 72.29/45.12 tff(1934,plain,
% 72.29/45.12 (~v123(constB13)),
% 72.29/45.12 inference(unit_resolution,[status(thm)],[1933, 1930, 1898])).
% 72.29/45.12 tff(1935,plain,
% 72.29/45.12 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr))) <=> ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr))))),
% 72.29/45.12 inference(bind,[status(th)],[])).
% 72.29/45.12 tff(1936,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 72.29/45.12 inference(quant_intro,[status(thm)],[1935])).
% 72.29/45.12 tff(1937,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1938,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_4')).
% 72.29/45.12 tff(1939,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1938, 1937])).
% 72.29/45.12 tff(1940,plain,(
% 72.29/45.12 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 72.29/45.12 inference(skolemize,[status(sab)],[1939])).
% 72.29/45.12 tff(1941,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1940, 1936])).
% 72.29/45.12 tff(1942,plain,
% 72.29/45.12 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB13, bitIndex1)) | (~v124(constB13)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB13, bitIndex1)) | (~v124(constB13)))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1943,plain,
% 72.29/45.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB13, bitIndex1)) | (~v124(constB13)))),
% 72.29/45.12 inference(quant_inst,[status(thm)],[])).
% 72.29/45.12 tff(1944,plain,
% 72.29/45.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB13, bitIndex1)) | (~v124(constB13))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1943, 1942])).
% 72.29/45.12 tff(1945,plain,
% 72.29/45.12 (~v124(constB13)),
% 72.29/45.12 inference(unit_resolution,[status(thm)],[1944, 1941, 1898])).
% 72.29/45.12 tff(1946,plain,
% 72.29/45.12 (^[VarCurr: $i] : refl((v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))))),
% 72.29/45.12 inference(bind,[status(th)],[])).
% 72.29/45.12 tff(1947,plain,
% 72.29/45.12 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 72.29/45.12 inference(quant_intro,[status(thm)],[1946])).
% 72.29/45.12 tff(1948,plain,
% 72.29/45.12 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1949,plain,
% 72.29/45.12 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) <=> (v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), ((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) <=> ((v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v123(VarCurr)))), rewrite(((v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v123(VarCurr)) <=> (v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), ((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) <=> (v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))))), (((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) <=> ((v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v122(VarCurr)))), rewrite(((v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v122(VarCurr)) <=> (v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), (((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) <=> (v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))))), ((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) <=> ((v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v121(VarCurr)))), rewrite(((v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v121(VarCurr)) <=> (v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), ((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) <=> (v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))))), (((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) <=> ((v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v120(VarCurr)))), rewrite(((v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v120(VarCurr)) <=> (v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), (((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) <=> (v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))))), ((((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> ((v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v119(VarCurr)))), rewrite(((v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2))) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))), ((((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))))),
% 72.29/45.12 inference(bind,[status(th)],[])).
% 72.29/45.12 tff(1950,plain,
% 72.29/45.12 (![VarCurr: $i] : (((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 72.29/45.12 inference(quant_intro,[status(thm)],[1949])).
% 72.29/45.12 tff(1951,axiom,(![VarCurr: $i] : (((((((~v130(VarCurr, bitIndex2)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_3')).
% 72.29/45.12 tff(1952,plain,
% 72.29/45.12 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1951, 1950])).
% 72.29/45.12 tff(1953,plain,
% 72.29/45.12 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1952, 1948])).
% 72.29/45.12 tff(1954,plain,(
% 72.29/45.12 ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 72.29/45.12 inference(skolemize,[status(sab)],[1953])).
% 72.29/45.12 tff(1955,plain,
% 72.29/45.12 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1954, 1947])).
% 72.29/45.12 tff(1956,plain,
% 72.29/45.12 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~v130(constB13, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~v130(constB13, bitIndex2)))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1957,plain,
% 72.29/45.12 ((v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex2))) <=> (v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~v130(constB13, bitIndex2)))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1958,plain,
% 72.29/45.12 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~v130(constB13, bitIndex2))))),
% 72.29/45.12 inference(monotonicity,[status(thm)],[1957])).
% 72.29/45.12 tff(1959,plain,
% 72.29/45.12 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~v130(constB13, bitIndex2)))),
% 72.29/45.12 inference(transitivity,[status(thm)],[1958, 1956])).
% 72.29/45.12 tff(1960,plain,
% 72.29/45.12 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex2)))),
% 72.29/45.12 inference(quant_inst,[status(thm)],[])).
% 72.29/45.12 tff(1961,plain,
% 72.29/45.12 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~v130(constB13, bitIndex2))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1960, 1959])).
% 72.29/45.12 tff(1962,plain,
% 72.29/45.12 (~v130(constB13, bitIndex2)),
% 72.29/45.12 inference(unit_resolution,[status(thm)],[1961, 1955, 1945, 1934, 1923, 1912, 1857, 1846])).
% 72.29/45.12 tff(1963,assumption,(v26(constB13)), introduced(assumption)).
% 72.29/45.12 tff(1964,plain,
% 72.29/45.12 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB13))),
% 72.29/45.12 inference(quant_inst,[status(thm)],[])).
% 72.29/45.12 tff(1965,plain,
% 72.29/45.12 ($false),
% 72.29/45.12 inference(unit_resolution,[status(thm)],[1964, 37, 1963])).
% 72.29/45.12 tff(1966,plain,(~v26(constB13)), inference(lemma,lemma(discharge,[]))).
% 72.29/45.12 tff(1967,plain,
% 72.29/45.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1968,plain,
% 72.29/45.12 ((v26(constB13) | v130(constB13, bitIndex2) | (~v127(constB13, bitIndex2))) <=> ((~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1969,plain,
% 72.29/45.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB13) | v130(constB13, bitIndex2) | (~v127(constB13, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2)))),
% 72.29/45.12 inference(monotonicity,[status(thm)],[1968])).
% 72.29/45.12 tff(1970,plain,
% 72.29/45.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB13) | v130(constB13, bitIndex2) | (~v127(constB13, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2))),
% 72.29/45.12 inference(transitivity,[status(thm)],[1969, 1967])).
% 72.29/45.12 tff(1971,plain,
% 72.29/45.12 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB13) | v130(constB13, bitIndex2) | (~v127(constB13, bitIndex2)))),
% 72.29/45.12 inference(quant_inst,[status(thm)],[])).
% 72.29/45.12 tff(1972,plain,
% 72.29/45.12 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2)),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1971, 1970])).
% 72.29/45.12 tff(1973,plain,
% 72.29/45.12 ((~v127(constB13, bitIndex2)) | v130(constB13, bitIndex2)),
% 72.29/45.12 inference(unit_resolution,[status(thm)],[1972, 470, 1966])).
% 72.29/45.12 tff(1974,plain,
% 72.29/45.12 (~v127(constB13, bitIndex2)),
% 72.29/45.12 inference(unit_resolution,[status(thm)],[1973, 1962])).
% 72.29/45.12 tff(1975,plain,
% 72.29/45.12 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1976,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_13_1')).
% 72.29/45.12 tff(1977,plain,
% 72.29/45.12 (nextState(constB13, constB14)),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1976, 1975])).
% 72.29/45.12 tff(1978,plain,
% 72.29/45.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex2) | (~v129(constB14, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex2) | (~v129(constB14, bitIndex2)))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1979,plain,
% 72.29/45.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex2) | (~v129(constB14, bitIndex2)))),
% 72.29/45.12 inference(quant_inst,[status(thm)],[])).
% 72.29/45.12 tff(1980,plain,
% 72.29/45.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex2) | (~v129(constB14, bitIndex2))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1979, 1978])).
% 72.29/45.12 tff(1981,plain,
% 72.29/45.12 (v127(constB13, bitIndex2) | (~v129(constB14, bitIndex2))),
% 72.29/45.12 inference(unit_resolution,[status(thm)],[1980, 488, 1977])).
% 72.29/45.12 tff(1982,plain,
% 72.29/45.12 (~v129(constB14, bitIndex2)),
% 72.29/45.12 inference(unit_resolution,[status(thm)],[1981, 1974])).
% 72.29/45.12 tff(1983,plain,
% 72.29/45.12 (^[VarCurr: $i] : refl(((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 72.29/45.12 inference(bind,[status(th)],[])).
% 72.29/45.12 tff(1984,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.29/45.12 inference(quant_intro,[status(thm)],[1983])).
% 72.29/45.12 tff(1985,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1986,plain,
% 72.29/45.12 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex0)) | (~v124(VarCurr))) <=> ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 72.29/45.12 inference(bind,[status(th)],[])).
% 72.29/45.12 tff(1987,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.29/45.12 inference(quant_intro,[status(thm)],[1986])).
% 72.29/45.12 tff(1988,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_1')).
% 72.29/45.12 tff(1989,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1988, 1987])).
% 72.29/45.12 tff(1990,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1989, 1985])).
% 72.29/45.12 tff(1991,plain,(
% 72.29/45.12 ![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.29/45.12 inference(skolemize,[status(sab)],[1990])).
% 72.29/45.12 tff(1992,plain,
% 72.29/45.12 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1991, 1984])).
% 72.29/45.12 tff(1993,plain,
% 72.29/45.12 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB11)) | (~v130(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB11)) | (~v130(constB11, bitIndex0)))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1994,plain,
% 72.29/45.12 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB11)) | (~v130(constB11, bitIndex0)))),
% 72.29/45.12 inference(quant_inst,[status(thm)],[])).
% 72.29/45.12 tff(1995,plain,
% 72.29/45.12 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB11)) | (~v130(constB11, bitIndex0))),
% 72.29/45.12 inference(modus_ponens,[status(thm)],[1994, 1993])).
% 72.29/45.12 tff(1996,plain,
% 72.29/45.12 (~v130(constB11, bitIndex0)),
% 72.29/45.12 inference(unit_resolution,[status(thm)],[1995, 1992, 1711])).
% 72.29/45.12 tff(1997,plain,
% 72.29/45.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1998,plain,
% 72.29/45.12 ((v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0))) <=> ((~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))),
% 72.29/45.12 inference(rewrite,[status(thm)],[])).
% 72.29/45.12 tff(1999,plain,
% 72.29/45.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0)))),
% 72.29/45.13 inference(monotonicity,[status(thm)],[1998])).
% 72.29/45.13 tff(2000,plain,
% 72.29/45.13 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))),
% 72.29/45.13 inference(transitivity,[status(thm)],[1999, 1997])).
% 72.29/45.13 tff(2001,plain,
% 72.29/45.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0)))),
% 72.29/45.13 inference(quant_inst,[status(thm)],[])).
% 72.29/45.13 tff(2002,plain,
% 72.29/45.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0)),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2001, 2000])).
% 72.29/45.13 tff(2003,plain,
% 72.29/45.13 ((~v127(constB11, bitIndex0)) | v130(constB11, bitIndex0)),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2002, 905, 1730])).
% 72.29/45.13 tff(2004,plain,
% 72.29/45.13 (~v127(constB11, bitIndex0)),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2003, 1996])).
% 72.29/45.13 tff(2005,plain,
% 72.29/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0)))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2006,plain,
% 72.29/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0)))),
% 72.29/45.13 inference(quant_inst,[status(thm)],[])).
% 72.29/45.13 tff(2007,plain,
% 72.29/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0))),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2006, 2005])).
% 72.29/45.13 tff(2008,plain,
% 72.29/45.13 (v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0))),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2007, 923, 1742])).
% 72.29/45.13 tff(2009,plain,
% 72.29/45.13 (~v129(constB12, bitIndex0)),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2008, 2004])).
% 72.29/45.13 tff(2010,plain,
% 72.29/45.13 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2011,plain,
% 72.29/45.13 (((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0)) <=> ((~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2012,plain,
% 72.29/45.13 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12))))),
% 72.29/45.13 inference(monotonicity,[status(thm)],[2011])).
% 72.29/45.13 tff(2013,plain,
% 72.29/45.13 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))),
% 72.29/45.13 inference(transitivity,[status(thm)],[2012, 2010])).
% 72.29/45.13 tff(2014,plain,
% 72.29/45.13 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0))),
% 72.29/45.13 inference(quant_inst,[status(thm)],[])).
% 72.29/45.13 tff(2015,plain,
% 72.29/45.13 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12))),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2014, 2013])).
% 72.29/45.13 tff(2016,plain,
% 72.29/45.13 ((~v90(constB12, bitIndex0)) | (~v100(constB12))),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2015, 938, 2009])).
% 72.29/45.13 tff(2017,plain,
% 72.29/45.13 (~v90(constB12, bitIndex0)),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2016, 1776])).
% 72.29/45.13 tff(2018,plain,
% 72.29/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2019,plain,
% 72.29/45.13 (((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0))) <=> (v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2020,plain,
% 72.29/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0))))),
% 72.29/45.13 inference(monotonicity,[status(thm)],[2019])).
% 72.29/45.13 tff(2021,plain,
% 72.29/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 72.29/45.13 inference(transitivity,[status(thm)],[2020, 2018])).
% 72.29/45.13 tff(2022,plain,
% 72.29/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 72.29/45.13 inference(quant_inst,[status(thm)],[])).
% 72.29/45.13 tff(2023,plain,
% 72.29/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0))),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2022, 2021])).
% 72.29/45.13 tff(2024,plain,
% 72.29/45.13 (v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0))),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2023, 130, 1814])).
% 72.29/45.13 tff(2025,plain,
% 72.29/45.13 (v90(constB12, bitIndex0) | (~v90(constB13, bitIndex0))),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2024, 1826])).
% 72.29/45.13 tff(2026,plain,
% 72.29/45.13 (~v90(constB13, bitIndex0)),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2025, 2017])).
% 72.29/45.13 tff(2027,plain,
% 72.29/45.13 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)))),
% 72.29/45.13 inference(bind,[status(th)],[])).
% 72.29/45.13 tff(2028,plain,
% 72.29/45.13 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 72.29/45.13 inference(quant_intro,[status(thm)],[2027])).
% 72.29/45.13 tff(2029,plain,
% 72.29/45.13 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2030,plain,
% 72.29/45.13 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v125(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex1))) <=> ((~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))), ((((v125(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex0)) <=> (((~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) | v90(VarCurr, bitIndex0)))), rewrite((((~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr)) | v90(VarCurr, bitIndex0)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))), ((((v125(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex0)) <=> (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))))),
% 72.29/45.13 inference(bind,[status(th)],[])).
% 72.29/45.13 tff(2031,plain,
% 72.29/45.13 (![VarCurr: $i] : (((v125(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 72.29/45.13 inference(quant_intro,[status(thm)],[2030])).
% 72.29/45.13 tff(2032,axiom,(![VarCurr: $i] : (((v125(VarCurr) | (~v90(VarCurr, bitIndex2))) | (~v90(VarCurr, bitIndex1))) | v90(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_1')).
% 72.29/45.13 tff(2033,plain,
% 72.29/45.13 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2032, 2031])).
% 72.29/45.13 tff(2034,plain,
% 72.29/45.13 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2033, 2029])).
% 72.29/45.13 tff(2035,plain,(
% 72.29/45.13 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 72.29/45.13 inference(skolemize,[status(sab)],[2034])).
% 72.29/45.13 tff(2036,plain,
% 72.29/45.13 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2035, 2028])).
% 72.29/45.13 tff(2037,plain,
% 72.29/45.13 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)) | v125(constB13))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)) | v125(constB13))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2038,plain,
% 72.29/45.13 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)) | v125(constB13))),
% 72.29/45.13 inference(quant_inst,[status(thm)],[])).
% 72.29/45.13 tff(2039,plain,
% 72.29/45.13 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)) | v125(constB13)),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2038, 2037])).
% 72.29/45.13 tff(2040,plain,
% 72.29/45.13 (v125(constB13)),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2039, 2036, 2026, 1898, 1835])).
% 72.29/45.13 tff(2041,plain,
% 72.29/45.13 (^[VarCurr: $i] : refl((v113(VarCurr) | (~v125(VarCurr))) <=> (v113(VarCurr) | (~v125(VarCurr))))),
% 72.29/45.13 inference(bind,[status(th)],[])).
% 72.29/45.13 tff(2042,plain,
% 72.29/45.13 (![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 72.29/45.13 inference(quant_intro,[status(thm)],[2041])).
% 72.29/45.13 tff(2043,plain,
% 72.29/45.13 (![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2044,axiom,(![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_1')).
% 72.29/45.13 tff(2045,plain,
% 72.29/45.13 (![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2044, 2043])).
% 72.29/45.13 tff(2046,plain,(
% 72.29/45.13 ![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 72.29/45.13 inference(skolemize,[status(sab)],[2045])).
% 72.29/45.13 tff(2047,plain,
% 72.29/45.13 (![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2046, 2042])).
% 72.29/45.13 tff(2048,plain,
% 72.29/45.13 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB13) | (~v125(constB13)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB13) | (~v125(constB13)))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2049,plain,
% 72.29/45.13 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB13) | (~v125(constB13)))),
% 72.29/45.13 inference(quant_inst,[status(thm)],[])).
% 72.29/45.13 tff(2050,plain,
% 72.29/45.13 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB13) | (~v125(constB13))),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2049, 2048])).
% 72.29/45.13 tff(2051,plain,
% 72.29/45.13 (v113(constB13)),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2050, 2047, 2040])).
% 72.29/45.13 tff(2052,assumption,(~v108(constB13)), introduced(assumption)).
% 72.29/45.13 tff(2053,plain,
% 72.29/45.13 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB13) | (~v112(constB13)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB13) | (~v112(constB13)))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2054,plain,
% 72.29/45.13 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB13) | (~v112(constB13)))),
% 72.29/45.13 inference(quant_inst,[status(thm)],[])).
% 72.29/45.13 tff(2055,plain,
% 72.29/45.13 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB13) | (~v112(constB13))),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2054, 2053])).
% 72.29/45.13 tff(2056,plain,
% 72.29/45.13 (~v112(constB13)),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2055, 210, 2052])).
% 72.29/45.13 tff(2057,plain,
% 72.29/45.13 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB13) | (~v26(constB13)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB13) | (~v26(constB13)))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2058,plain,
% 72.29/45.13 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB13) | (~v26(constB13)))),
% 72.29/45.13 inference(quant_inst,[status(thm)],[])).
% 72.29/45.13 tff(2059,plain,
% 72.29/45.13 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB13) | (~v26(constB13))),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2058, 2057])).
% 72.29/45.13 tff(2060,plain,
% 72.29/45.13 (~v26(constB13)),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2059, 221, 2052])).
% 72.29/45.13 tff(2061,assumption,(v113(constB13)), introduced(assumption)).
% 72.29/45.13 tff(2062,plain,
% 72.29/45.13 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | (~v113(constB13)) | v112(constB13))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2063,plain,
% 72.29/45.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))),
% 72.29/45.13 inference(quant_inst,[status(thm)],[])).
% 72.29/45.13 tff(2064,plain,
% 72.29/45.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | (~v113(constB13)) | v112(constB13)),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2063, 2062])).
% 72.29/45.13 tff(2065,plain,
% 72.29/45.13 (v26(constB13) | v112(constB13)),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2064, 301, 2061])).
% 72.29/45.13 tff(2066,plain,
% 72.29/45.13 ($false),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2065, 2060, 2056])).
% 72.29/45.13 tff(2067,plain,(v108(constB13) | (~v113(constB13))), inference(lemma,lemma(discharge,[]))).
% 72.29/45.13 tff(2068,plain,
% 72.29/45.13 (v108(constB13)),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2067, 2051])).
% 72.29/45.13 tff(2069,plain,
% 72.29/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2070,plain,
% 72.29/45.13 (((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14)) <=> ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2071,plain,
% 72.29/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13))))),
% 72.29/45.13 inference(monotonicity,[status(thm)],[2070])).
% 72.29/45.13 tff(2072,plain,
% 72.29/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 72.29/45.13 inference(transitivity,[status(thm)],[2071, 2069])).
% 72.29/45.13 tff(2073,plain,
% 72.29/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))),
% 72.29/45.13 inference(quant_inst,[status(thm)],[])).
% 72.29/45.13 tff(2074,plain,
% 72.29/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13))),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2073, 2072])).
% 72.29/45.13 tff(2075,plain,
% 72.29/45.13 (v110(constB14) | (~v108(constB13))),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2074, 317, 1977])).
% 72.29/45.13 tff(2076,plain,
% 72.29/45.13 (v110(constB14)),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2075, 2068])).
% 72.29/45.13 tff(2077,plain,
% 72.29/45.13 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2078,plain,
% 72.29/45.13 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))),
% 72.29/45.13 inference(quant_inst,[status(thm)],[])).
% 72.29/45.13 tff(2079,plain,
% 72.29/45.13 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14))),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2078, 2077])).
% 72.29/45.13 tff(2080,plain,
% 72.29/45.13 (~v104(constB14)),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2079, 335, 1977, 1811])).
% 72.29/45.13 tff(2081,plain,
% 72.29/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2082,plain,
% 72.29/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))),
% 72.29/45.13 inference(quant_inst,[status(thm)],[])).
% 72.29/45.13 tff(2083,plain,
% 72.29/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v102(constB14) | v104(constB14)),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2082, 2081])).
% 72.29/45.13 tff(2084,plain,
% 72.29/45.13 (v102(constB14) | v104(constB14)),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2083, 349, 1977])).
% 72.29/45.13 tff(2085,plain,
% 72.29/45.13 (v102(constB14)),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2084, 2080])).
% 72.29/45.13 tff(2086,plain,
% 72.29/45.13 (v1(constB14) <=> v1(constB14)),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2087,axiom,(v1(constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_14_1')).
% 72.29/45.13 tff(2088,plain,
% 72.29/45.13 (v1(constB14)),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2087, 2086])).
% 72.29/45.13 tff(2089,plain,
% 72.29/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2090,plain,
% 72.29/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))),
% 72.29/45.13 inference(quant_inst,[status(thm)],[])).
% 72.29/45.13 tff(2091,plain,
% 72.29/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14))),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2090, 2089])).
% 72.29/45.13 tff(2092,plain,
% 72.29/45.13 (v101(constB14) | (~v102(constB14))),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2091, 367, 1977, 2088])).
% 72.29/45.13 tff(2093,plain,
% 72.29/45.13 (v101(constB14)),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2092, 2085])).
% 72.29/45.13 tff(2094,plain,
% 72.29/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2095,plain,
% 72.29/45.13 (((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14)) <=> ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2096,plain,
% 72.29/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14))))),
% 72.29/45.13 inference(monotonicity,[status(thm)],[2095])).
% 72.29/45.13 tff(2097,plain,
% 72.29/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 72.29/45.13 inference(transitivity,[status(thm)],[2096, 2094])).
% 72.29/45.13 tff(2098,plain,
% 72.29/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))),
% 72.29/45.13 inference(quant_inst,[status(thm)],[])).
% 72.29/45.13 tff(2099,plain,
% 72.29/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14))),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2098, 2097])).
% 72.29/45.13 tff(2100,plain,
% 72.29/45.13 (v100(constB14) | (~v101(constB14)) | (~v110(constB14))),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2099, 382, 1977])).
% 72.29/45.13 tff(2101,plain,
% 72.29/45.13 (v100(constB14) | (~v110(constB14))),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2100, 2093])).
% 72.29/45.13 tff(2102,plain,
% 72.29/45.13 (v100(constB14)),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2101, 2076])).
% 72.29/45.13 tff(2103,plain,
% 72.29/45.13 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2) | (~v100(constB14)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2) | (~v100(constB14)))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2104,plain,
% 72.29/45.13 (((~v90(constB14, bitIndex2)) | (~v100(constB14)) | v129(constB14, bitIndex2)) <=> ((~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2) | (~v100(constB14)))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2105,plain,
% 72.29/45.13 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB14, bitIndex2)) | (~v100(constB14)) | v129(constB14, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2) | (~v100(constB14))))),
% 72.29/45.13 inference(monotonicity,[status(thm)],[2104])).
% 72.29/45.13 tff(2106,plain,
% 72.29/45.13 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB14, bitIndex2)) | (~v100(constB14)) | v129(constB14, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2) | (~v100(constB14)))),
% 72.29/45.13 inference(transitivity,[status(thm)],[2105, 2103])).
% 72.29/45.13 tff(2107,plain,
% 72.29/45.13 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB14, bitIndex2)) | (~v100(constB14)) | v129(constB14, bitIndex2))),
% 72.29/45.13 inference(quant_inst,[status(thm)],[])).
% 72.29/45.13 tff(2108,plain,
% 72.29/45.13 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2) | (~v100(constB14))),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2107, 2106])).
% 72.29/45.13 tff(2109,plain,
% 72.29/45.13 (~v90(constB14, bitIndex2)),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2108, 503, 2102, 1982])).
% 72.29/45.13 tff(2110,plain,
% 72.29/45.13 ((~v1(constB15)) <=> (~v1(constB15))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2111,axiom,(~v1(constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_15_1_1')).
% 72.29/45.13 tff(2112,plain,
% 72.29/45.13 (~v1(constB15)),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2111, 2110])).
% 72.29/45.13 tff(2113,plain,
% 72.29/45.13 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2114,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_14_1')).
% 72.29/45.13 tff(2115,plain,
% 72.29/45.13 (nextState(constB14, constB15)),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2114, 2113])).
% 72.29/45.13 tff(2116,plain,
% 72.29/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2117,plain,
% 72.29/45.13 (((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15)) <=> (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2118,plain,
% 72.29/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15))))),
% 72.29/45.13 inference(monotonicity,[status(thm)],[2117])).
% 72.29/45.13 tff(2119,plain,
% 72.29/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 72.29/45.13 inference(transitivity,[status(thm)],[2118, 2116])).
% 72.29/45.13 tff(2120,plain,
% 72.29/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))),
% 72.29/45.13 inference(quant_inst,[status(thm)],[])).
% 72.29/45.13 tff(2121,plain,
% 72.29/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15))),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2120, 2119])).
% 72.29/45.13 tff(2122,plain,
% 72.29/45.13 (~v101(constB15)),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2121, 56, 2115, 2112])).
% 72.29/45.13 tff(2123,plain,
% 72.29/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2124,plain,
% 72.29/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))),
% 72.29/45.13 inference(quant_inst,[status(thm)],[])).
% 72.29/45.13 tff(2125,plain,
% 72.29/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15))),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2124, 2123])).
% 72.29/45.13 tff(2126,plain,
% 72.29/45.13 (v101(constB15) | (~v100(constB15))),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2125, 73, 2115])).
% 72.29/45.13 tff(2127,plain,
% 72.29/45.13 (~v100(constB15)),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2126, 2122])).
% 72.29/45.13 tff(2128,plain,
% 72.29/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex2)))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2129,plain,
% 72.29/45.13 (((~nextState(constB14, constB15)) | v90(constB14, bitIndex2) | v100(constB15) | (~v90(constB15, bitIndex2))) <=> (v90(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex2)))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2130,plain,
% 72.29/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex2) | v100(constB15) | (~v90(constB15, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex2))))),
% 72.29/45.13 inference(monotonicity,[status(thm)],[2129])).
% 72.29/45.13 tff(2131,plain,
% 72.29/45.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex2) | v100(constB15) | (~v90(constB15, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex2)))),
% 72.29/45.13 inference(transitivity,[status(thm)],[2130, 2128])).
% 72.29/45.13 tff(2132,plain,
% 72.29/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex2) | v100(constB15) | (~v90(constB15, bitIndex2)))),
% 72.29/45.13 inference(quant_inst,[status(thm)],[])).
% 72.29/45.13 tff(2133,plain,
% 72.29/45.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex2))),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2132, 2131])).
% 72.29/45.13 tff(2134,plain,
% 72.29/45.13 (v90(constB14, bitIndex2) | v100(constB15) | (~v90(constB15, bitIndex2))),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2133, 88, 2115])).
% 72.29/45.13 tff(2135,plain,
% 72.29/45.13 (v90(constB14, bitIndex2) | (~v90(constB15, bitIndex2))),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2134, 2127])).
% 72.29/45.13 tff(2136,plain,
% 72.29/45.13 (~v90(constB15, bitIndex2)),
% 72.29/45.13 inference(unit_resolution,[status(thm)],[2135, 2109])).
% 72.29/45.13 tff(2137,plain,
% 72.29/45.13 (^[VarCurr: $i] : refl((v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))))),
% 72.29/45.13 inference(bind,[status(th)],[])).
% 72.29/45.13 tff(2138,plain,
% 72.29/45.13 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 72.29/45.13 inference(quant_intro,[status(thm)],[2137])).
% 72.29/45.13 tff(2139,plain,
% 72.29/45.13 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 72.29/45.13 inference(rewrite,[status(thm)],[])).
% 72.29/45.13 tff(2140,plain,
% 72.29/45.13 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) <=> (v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), ((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) <=> ((v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v123(VarCurr)))), rewrite(((v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v123(VarCurr)) <=> (v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), ((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) <=> (v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))))), (((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) <=> ((v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v122(VarCurr)))), rewrite(((v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v122(VarCurr)) <=> (v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), (((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) <=> (v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))))), ((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) <=> ((v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v121(VarCurr)))), rewrite(((v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v121(VarCurr)) <=> (v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), ((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) <=> (v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))))), (((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) <=> ((v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v120(VarCurr)))), rewrite(((v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v120(VarCurr)) <=> (v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), (((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) <=> (v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))))), ((((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> ((v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v119(VarCurr)))), rewrite(((v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1))) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))), ((((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))))),
% 72.29/45.13 inference(bind,[status(th)],[])).
% 72.29/45.13 tff(2141,plain,
% 72.29/45.13 (![VarCurr: $i] : (((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 72.29/45.13 inference(quant_intro,[status(thm)],[2140])).
% 72.29/45.13 tff(2142,axiom,(![VarCurr: $i] : (((((((~v130(VarCurr, bitIndex1)) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_2')).
% 72.29/45.13 tff(2143,plain,
% 72.29/45.13 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2142, 2141])).
% 72.29/45.13 tff(2144,plain,
% 72.29/45.13 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2143, 2139])).
% 72.29/45.13 tff(2145,plain,(
% 72.29/45.13 ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 72.29/45.13 inference(skolemize,[status(sab)],[2144])).
% 72.29/45.13 tff(2146,plain,
% 72.29/45.13 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 72.29/45.13 inference(modus_ponens,[status(thm)],[2145, 2138])).
% 72.29/45.13 tff(2147,plain,
% 72.29/45.13 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~v130(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~v130(constB13, bitIndex1)))),
% 72.29/45.14 inference(rewrite,[status(thm)],[])).
% 72.29/45.14 tff(2148,plain,
% 72.29/45.14 ((v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex1))) <=> (v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~v130(constB13, bitIndex1)))),
% 72.29/45.14 inference(rewrite,[status(thm)],[])).
% 72.29/45.14 tff(2149,plain,
% 72.29/45.14 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~v130(constB13, bitIndex1))))),
% 72.29/45.14 inference(monotonicity,[status(thm)],[2148])).
% 72.29/45.14 tff(2150,plain,
% 72.29/45.14 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~v130(constB13, bitIndex1)))),
% 72.29/45.14 inference(transitivity,[status(thm)],[2149, 2147])).
% 72.29/45.14 tff(2151,plain,
% 72.29/45.14 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, bitIndex1)))),
% 72.29/45.14 inference(quant_inst,[status(thm)],[])).
% 72.29/45.14 tff(2152,plain,
% 72.29/45.14 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~v130(constB13, bitIndex1))),
% 72.29/45.14 inference(modus_ponens,[status(thm)],[2151, 2150])).
% 72.29/45.14 tff(2153,plain,
% 72.29/45.14 (~v130(constB13, bitIndex1)),
% 72.29/45.14 inference(unit_resolution,[status(thm)],[2152, 2146, 1945, 1934, 1923, 1912, 1857, 1846])).
% 72.29/45.14 tff(2154,plain,
% 72.29/45.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1))),
% 72.29/45.14 inference(rewrite,[status(thm)],[])).
% 72.29/45.14 tff(2155,plain,
% 72.29/45.14 ((v26(constB13) | v130(constB13, bitIndex1) | (~v127(constB13, bitIndex1))) <=> ((~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1))),
% 72.29/45.14 inference(rewrite,[status(thm)],[])).
% 72.29/45.14 tff(2156,plain,
% 72.29/45.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB13) | v130(constB13, bitIndex1) | (~v127(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1)))),
% 72.29/45.14 inference(monotonicity,[status(thm)],[2155])).
% 72.29/45.14 tff(2157,plain,
% 72.29/45.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB13) | v130(constB13, bitIndex1) | (~v127(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1))),
% 72.29/45.14 inference(transitivity,[status(thm)],[2156, 2154])).
% 72.29/45.14 tff(2158,plain,
% 72.29/45.14 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB13) | v130(constB13, bitIndex1) | (~v127(constB13, bitIndex1)))),
% 72.29/45.14 inference(quant_inst,[status(thm)],[])).
% 72.29/45.14 tff(2159,plain,
% 72.29/45.14 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1)),
% 72.29/45.14 inference(modus_ponens,[status(thm)],[2158, 2157])).
% 72.29/45.14 tff(2160,plain,
% 72.29/45.14 ((~v127(constB13, bitIndex1)) | v130(constB13, bitIndex1)),
% 72.29/45.14 inference(unit_resolution,[status(thm)],[2159, 555, 1966])).
% 72.29/45.14 tff(2161,plain,
% 72.29/45.14 (~v127(constB13, bitIndex1)),
% 72.29/45.14 inference(unit_resolution,[status(thm)],[2160, 2153])).
% 72.29/45.14 tff(2162,plain,
% 72.29/45.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex1) | (~v129(constB14, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex1) | (~v129(constB14, bitIndex1)))),
% 72.29/45.14 inference(rewrite,[status(thm)],[])).
% 72.29/45.14 tff(2163,plain,
% 72.29/45.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex1) | (~v129(constB14, bitIndex1)))),
% 72.29/45.14 inference(quant_inst,[status(thm)],[])).
% 72.29/45.14 tff(2164,plain,
% 72.29/45.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex1) | (~v129(constB14, bitIndex1))),
% 72.29/45.14 inference(modus_ponens,[status(thm)],[2163, 2162])).
% 72.29/45.14 tff(2165,plain,
% 72.29/45.14 (v127(constB13, bitIndex1) | (~v129(constB14, bitIndex1))),
% 72.29/45.14 inference(unit_resolution,[status(thm)],[2164, 588, 1977])).
% 72.29/45.14 tff(2166,plain,
% 72.29/45.14 (~v129(constB14, bitIndex1)),
% 72.29/45.14 inference(unit_resolution,[status(thm)],[2165, 2161])).
% 72.29/45.14 tff(2167,plain,
% 72.29/45.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14)))),
% 72.29/45.14 inference(rewrite,[status(thm)],[])).
% 72.29/45.14 tff(2168,plain,
% 72.29/45.14 (((~v90(constB14, bitIndex1)) | (~v100(constB14)) | v129(constB14, bitIndex1)) <=> ((~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14)))),
% 72.29/45.14 inference(rewrite,[status(thm)],[])).
% 72.29/45.14 tff(2169,plain,
% 72.29/45.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | (~v100(constB14)) | v129(constB14, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14))))),
% 72.29/45.14 inference(monotonicity,[status(thm)],[2168])).
% 72.29/45.14 tff(2170,plain,
% 72.29/45.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | (~v100(constB14)) | v129(constB14, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14)))),
% 72.29/45.14 inference(transitivity,[status(thm)],[2169, 2167])).
% 72.29/45.14 tff(2171,plain,
% 72.29/45.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | (~v100(constB14)) | v129(constB14, bitIndex1))),
% 72.29/45.14 inference(quant_inst,[status(thm)],[])).
% 72.29/45.14 tff(2172,plain,
% 72.29/45.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14))),
% 72.29/45.14 inference(modus_ponens,[status(thm)],[2171, 2170])).
% 72.29/45.14 tff(2173,plain,
% 72.29/45.14 (~v90(constB14, bitIndex1)),
% 72.29/45.14 inference(unit_resolution,[status(thm)],[2172, 603, 2102, 2166])).
% 72.29/45.14 tff(2174,plain,
% 72.29/45.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex1)))),
% 72.29/45.14 inference(rewrite,[status(thm)],[])).
% 72.29/45.14 tff(2175,plain,
% 72.29/45.14 (((~nextState(constB14, constB15)) | v90(constB14, bitIndex1) | v100(constB15) | (~v90(constB15, bitIndex1))) <=> (v90(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex1)))),
% 72.29/45.14 inference(rewrite,[status(thm)],[])).
% 72.29/45.14 tff(2176,plain,
% 72.29/45.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex1) | v100(constB15) | (~v90(constB15, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex1))))),
% 72.29/45.14 inference(monotonicity,[status(thm)],[2175])).
% 72.29/45.14 tff(2177,plain,
% 72.29/45.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex1) | v100(constB15) | (~v90(constB15, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex1)))),
% 72.29/45.14 inference(transitivity,[status(thm)],[2176, 2174])).
% 72.29/45.14 tff(2178,plain,
% 72.29/45.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex1) | v100(constB15) | (~v90(constB15, bitIndex1)))),
% 72.29/45.14 inference(quant_inst,[status(thm)],[])).
% 72.29/45.14 tff(2179,plain,
% 72.29/45.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex1))),
% 72.29/45.14 inference(modus_ponens,[status(thm)],[2178, 2177])).
% 72.29/45.14 tff(2180,plain,
% 72.29/45.14 (v90(constB14, bitIndex1) | v100(constB15) | (~v90(constB15, bitIndex1))),
% 72.29/45.14 inference(unit_resolution,[status(thm)],[2179, 109, 2115])).
% 72.29/45.14 tff(2181,plain,
% 72.29/45.14 (v90(constB14, bitIndex1) | (~v90(constB15, bitIndex1))),
% 72.29/45.14 inference(unit_resolution,[status(thm)],[2180, 2127])).
% 72.29/45.14 tff(2182,plain,
% 72.29/45.14 (~v90(constB15, bitIndex1)),
% 72.29/45.14 inference(unit_resolution,[status(thm)],[2181, 2173])).
% 72.29/45.14 tff(2183,plain,
% 72.29/45.14 (^[VarCurr: $i] : refl((v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)))),
% 72.29/45.14 inference(bind,[status(th)],[])).
% 72.29/45.14 tff(2184,plain,
% 72.29/45.14 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 72.29/45.14 inference(quant_intro,[status(thm)],[2183])).
% 72.29/45.14 tff(2185,plain,
% 72.29/45.14 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 72.29/45.14 inference(rewrite,[status(thm)],[])).
% 72.29/45.14 tff(2186,plain,
% 72.29/45.14 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((v130(VarCurr, bitIndex0) | v124(VarCurr)) <=> (v124(VarCurr) | v130(VarCurr, bitIndex0))), (((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) <=> ((v124(VarCurr) | v130(VarCurr, bitIndex0)) | v123(VarCurr)))), rewrite(((v124(VarCurr) | v130(VarCurr, bitIndex0)) | v123(VarCurr)) <=> (v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))), (((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) <=> (v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)))), ((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) <=> ((v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v122(VarCurr)))), rewrite(((v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v122(VarCurr)) <=> (v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))), ((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) <=> (v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)))), (((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) <=> ((v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v121(VarCurr)))), rewrite(((v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v121(VarCurr)) <=> (v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))), (((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) <=> (v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)))), ((((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) <=> ((v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v120(VarCurr)))), rewrite(((v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v120(VarCurr)) <=> (v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))), ((((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) <=> (v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)))), (((((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> ((v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v119(VarCurr)))), rewrite(((v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0)) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))), (((((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))))),
% 72.29/45.14 inference(bind,[status(th)],[])).
% 72.29/45.14 tff(2187,plain,
% 72.29/45.14 (![VarCurr: $i] : ((((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr)) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 72.29/45.14 inference(quant_intro,[status(thm)],[2186])).
% 72.29/45.14 tff(2188,axiom,(![VarCurr: $i] : ((((((v130(VarCurr, bitIndex0) | v124(VarCurr)) | v123(VarCurr)) | v122(VarCurr)) | v121(VarCurr)) | v120(VarCurr)) | v119(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_1')).
% 72.29/45.14 tff(2189,plain,
% 72.29/45.14 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 72.29/45.14 inference(modus_ponens,[status(thm)],[2188, 2187])).
% 72.29/45.14 tff(2190,plain,
% 72.29/45.14 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 72.29/45.14 inference(modus_ponens,[status(thm)],[2189, 2185])).
% 72.29/45.14 tff(2191,plain,(
% 72.29/45.14 ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 72.29/45.14 inference(skolemize,[status(sab)],[2190])).
% 72.29/45.14 tff(2192,plain,
% 72.29/45.14 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 72.29/45.14 inference(modus_ponens,[status(thm)],[2191, 2184])).
% 72.29/45.14 tff(2193,plain,
% 72.29/45.14 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v130(constB13, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v130(constB13, bitIndex0))),
% 72.29/45.14 inference(rewrite,[status(thm)],[])).
% 72.29/45.14 tff(2194,plain,
% 72.29/45.14 ((v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, bitIndex0)) <=> (v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v130(constB13, bitIndex0))),
% 72.29/45.14 inference(rewrite,[status(thm)],[])).
% 72.29/45.14 tff(2195,plain,
% 72.29/45.14 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v130(constB13, bitIndex0)))),
% 72.29/45.14 inference(monotonicity,[status(thm)],[2194])).
% 72.29/45.14 tff(2196,plain,
% 72.29/45.14 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v130(constB13, bitIndex0))),
% 72.29/45.14 inference(transitivity,[status(thm)],[2195, 2193])).
% 72.29/45.14 tff(2197,plain,
% 72.29/45.14 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB13) | v119(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, bitIndex0))),
% 72.29/45.14 inference(quant_inst,[status(thm)],[])).
% 72.29/45.14 tff(2198,plain,
% 72.29/45.14 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | v130(constB13, bitIndex0)),
% 72.29/45.14 inference(modus_ponens,[status(thm)],[2197, 2196])).
% 72.29/45.14 tff(2199,plain,
% 72.29/45.14 (v130(constB13, bitIndex0)),
% 72.29/45.14 inference(unit_resolution,[status(thm)],[2198, 2192, 1945, 1934, 1923, 1912, 1857, 1846])).
% 72.29/45.14 tff(2200,plain,
% 72.29/45.14 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB13) | (~v130(constB13, bitIndex0)) | v127(constB13, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB13) | (~v130(constB13, bitIndex0)) | v127(constB13, bitIndex0))),
% 72.29/45.14 inference(rewrite,[status(thm)],[])).
% 72.29/45.14 tff(2201,plain,
% 72.29/45.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB13) | (~v130(constB13, bitIndex0)) | v127(constB13, bitIndex0))),
% 72.29/45.14 inference(quant_inst,[status(thm)],[])).
% 72.29/45.14 tff(2202,plain,
% 72.29/45.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB13) | (~v130(constB13, bitIndex0)) | v127(constB13, bitIndex0)),
% 72.29/45.14 inference(modus_ponens,[status(thm)],[2201, 2200])).
% 72.29/45.14 tff(2203,plain,
% 72.29/45.14 ((~v130(constB13, bitIndex0)) | v127(constB13, bitIndex0)),
% 72.29/45.14 inference(unit_resolution,[status(thm)],[2202, 179, 1966])).
% 72.29/45.14 tff(2204,plain,
% 72.29/45.14 (v127(constB13, bitIndex0)),
% 72.29/45.14 inference(unit_resolution,[status(thm)],[2203, 2199])).
% 72.29/45.14 tff(2205,plain,
% 72.29/45.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB13, constB14)) | (~v127(constB13, bitIndex0)) | v129(constB14, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB13, constB14)) | (~v127(constB13, bitIndex0)) | v129(constB14, bitIndex0))),
% 72.29/45.14 inference(rewrite,[status(thm)],[])).
% 72.29/45.14 tff(2206,plain,
% 72.29/45.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB13, constB14)) | (~v127(constB13, bitIndex0)) | v129(constB14, bitIndex0))),
% 72.29/45.14 inference(quant_inst,[status(thm)],[])).
% 72.29/45.14 tff(2207,plain,
% 72.29/45.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB13, constB14)) | (~v127(constB13, bitIndex0)) | v129(constB14, bitIndex0)),
% 72.29/45.14 inference(modus_ponens,[status(thm)],[2206, 2205])).
% 72.29/45.14 tff(2208,plain,
% 72.29/45.14 ((~v127(constB13, bitIndex0)) | v129(constB14, bitIndex0)),
% 72.29/45.14 inference(unit_resolution,[status(thm)],[2207, 197, 1977])).
% 72.29/45.14 tff(2209,plain,
% 72.29/45.14 (v129(constB14, bitIndex0)),
% 72.29/45.14 inference(unit_resolution,[status(thm)],[2208, 2204])).
% 72.29/45.14 tff(2210,plain,
% 72.29/45.14 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0)) | (~v100(constB14)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0)) | (~v100(constB14)))),
% 72.29/45.14 inference(rewrite,[status(thm)],[])).
% 72.29/45.14 tff(2211,plain,
% 72.29/45.14 ((v90(constB14, bitIndex0) | (~v100(constB14)) | (~v129(constB14, bitIndex0))) <=> (v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0)) | (~v100(constB14)))),
% 72.29/45.14 inference(rewrite,[status(thm)],[])).
% 72.29/45.14 tff(2212,plain,
% 72.29/45.14 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~v100(constB14)) | (~v129(constB14, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0)) | (~v100(constB14))))),
% 72.29/45.14 inference(monotonicity,[status(thm)],[2211])).
% 72.29/45.14 tff(2213,plain,
% 72.29/45.14 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~v100(constB14)) | (~v129(constB14, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0)) | (~v100(constB14)))),
% 72.29/45.14 inference(transitivity,[status(thm)],[2212, 2210])).
% 72.29/45.14 tff(2214,plain,
% 72.29/45.14 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~v100(constB14)) | (~v129(constB14, bitIndex0)))),
% 72.29/45.14 inference(quant_inst,[status(thm)],[])).
% 72.32/45.14 tff(2215,plain,
% 72.32/45.14 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0)) | (~v100(constB14))),
% 72.32/45.14 inference(modus_ponens,[status(thm)],[2214, 2213])).
% 72.32/45.14 tff(2216,plain,
% 72.32/45.14 (v90(constB14, bitIndex0)),
% 72.32/45.14 inference(unit_resolution,[status(thm)],[2215, 401, 2102, 2209])).
% 72.32/45.14 tff(2217,plain,
% 72.32/45.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex0))),
% 72.32/45.14 inference(rewrite,[status(thm)],[])).
% 72.32/45.14 tff(2218,plain,
% 72.32/45.14 (((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex0)) | v100(constB15) | v90(constB15, bitIndex0)) <=> ((~v90(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex0))),
% 72.32/45.14 inference(rewrite,[status(thm)],[])).
% 72.32/45.14 tff(2219,plain,
% 72.32/45.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex0)) | v100(constB15) | v90(constB15, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex0)))),
% 72.32/45.14 inference(monotonicity,[status(thm)],[2218])).
% 72.32/45.14 tff(2220,plain,
% 72.32/45.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex0)) | v100(constB15) | v90(constB15, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex0))),
% 72.32/45.14 inference(transitivity,[status(thm)],[2219, 2217])).
% 72.32/45.14 tff(2221,plain,
% 72.32/45.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex0)) | v100(constB15) | v90(constB15, bitIndex0))),
% 72.32/45.14 inference(quant_inst,[status(thm)],[])).
% 72.32/45.14 tff(2222,plain,
% 72.32/45.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex0)),
% 72.32/45.14 inference(modus_ponens,[status(thm)],[2221, 2220])).
% 72.32/45.14 tff(2223,plain,
% 72.32/45.14 ((~v90(constB14, bitIndex0)) | v100(constB15) | v90(constB15, bitIndex0)),
% 72.32/45.14 inference(unit_resolution,[status(thm)],[2222, 437, 2115])).
% 72.32/45.14 tff(2224,plain,
% 72.32/45.14 ((~v90(constB14, bitIndex0)) | v90(constB15, bitIndex0)),
% 72.32/45.14 inference(unit_resolution,[status(thm)],[2223, 2127])).
% 72.32/45.14 tff(2225,plain,
% 72.32/45.14 (v90(constB15, bitIndex0)),
% 72.32/45.14 inference(unit_resolution,[status(thm)],[2224, 2216])).
% 72.32/45.14 tff(2226,plain,
% 72.32/45.14 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15))),
% 72.32/45.14 inference(rewrite,[status(thm)],[])).
% 72.32/45.14 tff(2227,plain,
% 72.32/45.14 (((~v90(constB15, bitIndex0)) | v120(constB15) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2)) <=> ((~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15))),
% 72.32/45.14 inference(rewrite,[status(thm)],[])).
% 72.32/45.14 tff(2228,plain,
% 72.32/45.14 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB15, bitIndex0)) | v120(constB15) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15)))),
% 72.32/45.14 inference(monotonicity,[status(thm)],[2227])).
% 72.32/45.14 tff(2229,plain,
% 72.32/45.14 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB15, bitIndex0)) | v120(constB15) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15))),
% 72.32/45.14 inference(transitivity,[status(thm)],[2228, 2226])).
% 72.32/45.14 tff(2230,plain,
% 72.32/45.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB15, bitIndex0)) | v120(constB15) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2))),
% 72.32/45.14 inference(quant_inst,[status(thm)],[])).
% 72.32/45.14 tff(2231,plain,
% 72.32/45.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB15, bitIndex0)) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | v120(constB15)),
% 72.32/45.14 inference(modus_ponens,[status(thm)],[2230, 2229])).
% 72.32/45.14 tff(2232,plain,
% 72.32/45.14 (v120(constB15)),
% 72.32/45.14 inference(unit_resolution,[status(thm)],[2231, 631, 2225, 2182, 2136])).
% 72.32/45.14 tff(2233,plain,
% 72.32/45.14 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB15) | (~v120(constB15)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB15) | (~v120(constB15)))),
% 72.32/45.14 inference(rewrite,[status(thm)],[])).
% 72.32/45.14 tff(2234,plain,
% 72.32/45.14 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB15) | (~v120(constB15)))),
% 72.32/45.14 inference(quant_inst,[status(thm)],[])).
% 72.32/45.14 tff(2235,plain,
% 72.32/45.14 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB15) | (~v120(constB15))),
% 72.32/45.14 inference(modus_ponens,[status(thm)],[2234, 2233])).
% 72.32/45.14 tff(2236,plain,
% 72.32/45.14 (v118(constB15)),
% 72.32/45.14 inference(unit_resolution,[status(thm)],[2235, 646, 2232])).
% 72.32/45.14 tff(2237,plain,
% 72.32/45.14 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB15) | (~v118(constB15)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB15) | (~v118(constB15)))),
% 72.32/45.14 inference(rewrite,[status(thm)],[])).
% 72.32/45.14 tff(2238,plain,
% 72.32/45.14 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB15) | (~v118(constB15)))),
% 72.32/45.14 inference(quant_inst,[status(thm)],[])).
% 72.32/45.14 tff(2239,plain,
% 72.32/45.14 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB15) | (~v118(constB15))),
% 72.32/45.14 inference(modus_ponens,[status(thm)],[2238, 2237])).
% 72.32/45.14 tff(2240,plain,
% 72.32/45.14 (v117(constB15)),
% 72.32/45.14 inference(unit_resolution,[status(thm)],[2239, 243, 2236])).
% 72.32/45.14 tff(2241,plain,
% 72.32/45.14 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB15) | (~v117(constB15)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB15) | (~v117(constB15)))),
% 72.32/45.14 inference(rewrite,[status(thm)],[])).
% 72.32/45.14 tff(2242,plain,
% 72.32/45.14 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB15) | (~v117(constB15)))),
% 72.32/45.14 inference(quant_inst,[status(thm)],[])).
% 72.32/45.14 tff(2243,plain,
% 72.32/45.14 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB15) | (~v117(constB15))),
% 72.32/45.14 inference(modus_ponens,[status(thm)],[2242, 2241])).
% 72.32/45.14 tff(2244,plain,
% 72.32/45.14 (v116(constB15)),
% 72.32/45.14 inference(unit_resolution,[status(thm)],[2243, 254, 2240])).
% 72.32/45.14 tff(2245,plain,
% 72.32/45.14 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB15) | (~v116(constB15)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB15) | (~v116(constB15)))),
% 72.32/45.14 inference(rewrite,[status(thm)],[])).
% 72.32/45.14 tff(2246,plain,
% 72.32/45.14 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB15) | (~v116(constB15)))),
% 72.32/45.14 inference(quant_inst,[status(thm)],[])).
% 72.32/45.14 tff(2247,plain,
% 72.32/45.14 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB15) | (~v116(constB15))),
% 72.32/45.14 inference(modus_ponens,[status(thm)],[2246, 2245])).
% 72.32/45.14 tff(2248,plain,
% 72.32/45.14 (v115(constB15)),
% 72.32/45.14 inference(unit_resolution,[status(thm)],[2247, 265, 2244])).
% 72.32/45.14 tff(2249,plain,
% 72.32/45.14 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB15) | (~v115(constB15)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB15) | (~v115(constB15)))),
% 72.32/45.14 inference(rewrite,[status(thm)],[])).
% 72.32/45.14 tff(2250,plain,
% 72.32/45.14 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB15) | (~v115(constB15)))),
% 72.32/45.14 inference(quant_inst,[status(thm)],[])).
% 72.32/45.14 tff(2251,plain,
% 72.32/45.14 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB15) | (~v115(constB15))),
% 72.32/45.14 inference(modus_ponens,[status(thm)],[2250, 2249])).
% 72.32/45.14 tff(2252,plain,
% 72.32/45.14 (v114(constB15)),
% 72.32/45.14 inference(unit_resolution,[status(thm)],[2251, 276, 2248])).
% 72.32/45.14 tff(2253,plain,
% 72.32/45.14 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB15) | (~v114(constB15)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB15) | (~v114(constB15)))),
% 72.32/45.14 inference(rewrite,[status(thm)],[])).
% 72.32/45.14 tff(2254,plain,
% 72.32/45.14 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB15) | (~v114(constB15)))),
% 72.32/45.14 inference(quant_inst,[status(thm)],[])).
% 72.32/45.14 tff(2255,plain,
% 72.32/45.14 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB15) | (~v114(constB15))),
% 72.32/45.14 inference(modus_ponens,[status(thm)],[2254, 2253])).
% 72.32/45.14 tff(2256,plain,
% 72.32/45.14 (v113(constB15)),
% 72.32/45.14 inference(unit_resolution,[status(thm)],[2255, 287, 2252])).
% 72.32/45.14 tff(2257,assumption,(v26(constB15)), introduced(assumption)).
% 72.32/45.14 tff(2258,plain,
% 72.32/45.14 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB15))),
% 72.32/45.14 inference(quant_inst,[status(thm)],[])).
% 72.32/45.14 tff(2259,plain,
% 72.32/45.14 ($false),
% 72.32/45.14 inference(unit_resolution,[status(thm)],[2258, 37, 2257])).
% 72.32/45.14 tff(2260,plain,(~v26(constB15)), inference(lemma,lemma(discharge,[]))).
% 72.32/45.14 tff(2261,plain,
% 72.32/45.14 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | v112(constB15) | (~v113(constB15)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | v112(constB15) | (~v113(constB15)))),
% 72.32/45.14 inference(rewrite,[status(thm)],[])).
% 72.32/45.14 tff(2262,plain,
% 72.32/45.14 ((v26(constB15) | (~v113(constB15)) | v112(constB15)) <=> (v26(constB15) | v112(constB15) | (~v113(constB15)))),
% 72.32/45.14 inference(rewrite,[status(thm)],[])).
% 72.32/45.14 tff(2263,plain,
% 72.32/45.14 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | v112(constB15) | (~v113(constB15))))),
% 72.32/45.14 inference(monotonicity,[status(thm)],[2262])).
% 72.32/45.14 tff(2264,plain,
% 72.32/45.14 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | v112(constB15) | (~v113(constB15)))),
% 72.32/45.14 inference(transitivity,[status(thm)],[2263, 2261])).
% 72.32/45.14 tff(2265,plain,
% 72.32/45.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))),
% 72.32/45.14 inference(quant_inst,[status(thm)],[])).
% 72.32/45.14 tff(2266,plain,
% 72.32/45.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | v112(constB15) | (~v113(constB15))),
% 72.32/45.14 inference(modus_ponens,[status(thm)],[2265, 2264])).
% 72.32/45.14 tff(2267,plain,
% 72.32/45.14 (v112(constB15) | (~v113(constB15))),
% 72.32/45.14 inference(unit_resolution,[status(thm)],[2266, 301, 2260])).
% 72.32/45.14 tff(2268,plain,
% 72.32/45.14 (v112(constB15)),
% 72.32/45.14 inference(unit_resolution,[status(thm)],[2267, 2256])).
% 72.32/45.15 tff(2269,plain,
% 72.32/45.15 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB15) | (~v112(constB15)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB15) | (~v112(constB15)))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2270,plain,
% 72.32/45.15 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB15) | (~v112(constB15)))),
% 72.32/45.15 inference(quant_inst,[status(thm)],[])).
% 72.32/45.15 tff(2271,plain,
% 72.32/45.15 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB15) | (~v112(constB15))),
% 72.32/45.15 inference(modus_ponens,[status(thm)],[2270, 2269])).
% 72.32/45.15 tff(2272,plain,
% 72.32/45.15 (v108(constB15)),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2271, 210, 2268])).
% 72.32/45.15 tff(2273,plain,
% 72.32/45.15 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2274,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_15_1')).
% 72.32/45.15 tff(2275,plain,
% 72.32/45.15 (nextState(constB15, constB16)),
% 72.32/45.15 inference(modus_ponens,[status(thm)],[2274, 2273])).
% 72.32/45.15 tff(2276,plain,
% 72.32/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2277,plain,
% 72.32/45.15 (((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16)) <=> ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2278,plain,
% 72.32/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15))))),
% 72.32/45.15 inference(monotonicity,[status(thm)],[2277])).
% 72.32/45.15 tff(2279,plain,
% 72.32/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 72.32/45.15 inference(transitivity,[status(thm)],[2278, 2276])).
% 72.32/45.15 tff(2280,plain,
% 72.32/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))),
% 72.32/45.15 inference(quant_inst,[status(thm)],[])).
% 72.32/45.15 tff(2281,plain,
% 72.32/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15))),
% 72.32/45.15 inference(modus_ponens,[status(thm)],[2280, 2279])).
% 72.32/45.15 tff(2282,plain,
% 72.32/45.15 (v110(constB16) | (~v108(constB15))),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2281, 317, 2275])).
% 72.32/45.15 tff(2283,plain,
% 72.32/45.15 (v110(constB16)),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2282, 2272])).
% 72.32/45.15 tff(2284,plain,
% 72.32/45.15 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2285,plain,
% 72.32/45.15 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))),
% 72.32/45.15 inference(quant_inst,[status(thm)],[])).
% 72.32/45.15 tff(2286,plain,
% 72.32/45.15 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16))),
% 72.32/45.15 inference(modus_ponens,[status(thm)],[2285, 2284])).
% 72.32/45.15 tff(2287,plain,
% 72.32/45.15 (~v104(constB16)),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2286, 335, 2275, 2112])).
% 72.32/45.15 tff(2288,plain,
% 72.32/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2289,plain,
% 72.32/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))),
% 72.32/45.15 inference(quant_inst,[status(thm)],[])).
% 72.32/45.15 tff(2290,plain,
% 72.32/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v102(constB16) | v104(constB16)),
% 72.32/45.15 inference(modus_ponens,[status(thm)],[2289, 2288])).
% 72.32/45.15 tff(2291,plain,
% 72.32/45.15 (v102(constB16) | v104(constB16)),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2290, 349, 2275])).
% 72.32/45.15 tff(2292,plain,
% 72.32/45.15 (v102(constB16)),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2291, 2287])).
% 72.32/45.15 tff(2293,plain,
% 72.32/45.15 (v1(constB16) <=> v1(constB16)),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2294,axiom,(v1(constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_16_1')).
% 72.32/45.15 tff(2295,plain,
% 72.32/45.15 (v1(constB16)),
% 72.32/45.15 inference(modus_ponens,[status(thm)],[2294, 2293])).
% 72.32/45.15 tff(2296,plain,
% 72.32/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2297,plain,
% 72.32/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))),
% 72.32/45.15 inference(quant_inst,[status(thm)],[])).
% 72.32/45.15 tff(2298,plain,
% 72.32/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16))),
% 72.32/45.15 inference(modus_ponens,[status(thm)],[2297, 2296])).
% 72.32/45.15 tff(2299,plain,
% 72.32/45.15 (v101(constB16) | (~v102(constB16))),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2298, 367, 2275, 2295])).
% 72.32/45.15 tff(2300,plain,
% 72.32/45.15 (v101(constB16)),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2299, 2292])).
% 72.32/45.15 tff(2301,plain,
% 72.32/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2302,plain,
% 72.32/45.15 (((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16)) <=> ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2303,plain,
% 72.32/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16))))),
% 72.32/45.15 inference(monotonicity,[status(thm)],[2302])).
% 72.32/45.15 tff(2304,plain,
% 72.32/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 72.32/45.15 inference(transitivity,[status(thm)],[2303, 2301])).
% 72.32/45.15 tff(2305,plain,
% 72.32/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))),
% 72.32/45.15 inference(quant_inst,[status(thm)],[])).
% 72.32/45.15 tff(2306,plain,
% 72.32/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16))),
% 72.32/45.15 inference(modus_ponens,[status(thm)],[2305, 2304])).
% 72.32/45.15 tff(2307,plain,
% 72.32/45.15 (v100(constB16) | (~v101(constB16)) | (~v110(constB16))),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2306, 382, 2275])).
% 72.32/45.15 tff(2308,plain,
% 72.32/45.15 (v100(constB16) | (~v110(constB16))),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2307, 2300])).
% 72.32/45.15 tff(2309,plain,
% 72.32/45.15 (v100(constB16)),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2308, 2283])).
% 72.32/45.15 tff(2310,plain,
% 72.32/45.15 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB15)) | (~v130(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB15)) | (~v130(constB15, bitIndex2)))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2311,plain,
% 72.32/45.15 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB15)) | (~v130(constB15, bitIndex2)))),
% 72.32/45.15 inference(quant_inst,[status(thm)],[])).
% 72.32/45.15 tff(2312,plain,
% 72.32/45.15 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB15)) | (~v130(constB15, bitIndex2))),
% 72.32/45.15 inference(modus_ponens,[status(thm)],[2311, 2310])).
% 72.32/45.15 tff(2313,plain,
% 72.32/45.15 (~v130(constB15, bitIndex2)),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2312, 730, 2232])).
% 72.32/45.15 tff(2314,plain,
% 72.32/45.15 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2315,plain,
% 72.32/45.15 ((v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2))) <=> ((~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2316,plain,
% 72.32/45.15 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2)))),
% 72.32/45.15 inference(monotonicity,[status(thm)],[2315])).
% 72.32/45.15 tff(2317,plain,
% 72.32/45.15 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))),
% 72.32/45.15 inference(transitivity,[status(thm)],[2316, 2314])).
% 72.32/45.15 tff(2318,plain,
% 72.32/45.15 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2)))),
% 72.32/45.15 inference(quant_inst,[status(thm)],[])).
% 72.32/45.15 tff(2319,plain,
% 72.32/45.15 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2)),
% 72.32/45.15 inference(modus_ponens,[status(thm)],[2318, 2317])).
% 72.32/45.15 tff(2320,plain,
% 72.32/45.15 ((~v127(constB15, bitIndex2)) | v130(constB15, bitIndex2)),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2319, 470, 2260])).
% 72.32/45.15 tff(2321,plain,
% 72.32/45.15 (~v127(constB15, bitIndex2)),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2320, 2313])).
% 72.32/45.15 tff(2322,plain,
% 72.32/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2)))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2323,plain,
% 72.32/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2)))),
% 72.32/45.15 inference(quant_inst,[status(thm)],[])).
% 72.32/45.15 tff(2324,plain,
% 72.32/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2))),
% 72.32/45.15 inference(modus_ponens,[status(thm)],[2323, 2322])).
% 72.32/45.15 tff(2325,plain,
% 72.32/45.15 (v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2))),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2324, 488, 2275])).
% 72.32/45.15 tff(2326,plain,
% 72.32/45.15 (~v129(constB16, bitIndex2)),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2325, 2321])).
% 72.32/45.15 tff(2327,plain,
% 72.32/45.15 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2328,plain,
% 72.32/45.15 (((~v90(constB16, bitIndex2)) | (~v100(constB16)) | v129(constB16, bitIndex2)) <=> ((~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2329,plain,
% 72.32/45.15 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB16, bitIndex2)) | (~v100(constB16)) | v129(constB16, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16))))),
% 72.32/45.15 inference(monotonicity,[status(thm)],[2328])).
% 72.32/45.15 tff(2330,plain,
% 72.32/45.15 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB16, bitIndex2)) | (~v100(constB16)) | v129(constB16, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))),
% 72.32/45.15 inference(transitivity,[status(thm)],[2329, 2327])).
% 72.32/45.15 tff(2331,plain,
% 72.32/45.15 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB16, bitIndex2)) | (~v100(constB16)) | v129(constB16, bitIndex2))),
% 72.32/45.15 inference(quant_inst,[status(thm)],[])).
% 72.32/45.15 tff(2332,plain,
% 72.32/45.15 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16))),
% 72.32/45.15 inference(modus_ponens,[status(thm)],[2331, 2330])).
% 72.32/45.15 tff(2333,plain,
% 72.32/45.15 ((~v90(constB16, bitIndex2)) | (~v100(constB16))),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2332, 503, 2326])).
% 72.32/45.15 tff(2334,plain,
% 72.32/45.15 (~v90(constB16, bitIndex2)),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2333, 2309])).
% 72.32/45.15 tff(2335,plain,
% 72.32/45.15 ((~v1(constB17)) <=> (~v1(constB17))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2336,axiom,(~v1(constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_17_1_1')).
% 72.32/45.15 tff(2337,plain,
% 72.32/45.15 (~v1(constB17)),
% 72.32/45.15 inference(modus_ponens,[status(thm)],[2336, 2335])).
% 72.32/45.15 tff(2338,plain,
% 72.32/45.15 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2339,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_16_1')).
% 72.32/45.15 tff(2340,plain,
% 72.32/45.15 (nextState(constB16, constB17)),
% 72.32/45.15 inference(modus_ponens,[status(thm)],[2339, 2338])).
% 72.32/45.15 tff(2341,plain,
% 72.32/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2342,plain,
% 72.32/45.15 (((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17)) <=> (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2343,plain,
% 72.32/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17))))),
% 72.32/45.15 inference(monotonicity,[status(thm)],[2342])).
% 72.32/45.15 tff(2344,plain,
% 72.32/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 72.32/45.15 inference(transitivity,[status(thm)],[2343, 2341])).
% 72.32/45.15 tff(2345,plain,
% 72.32/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))),
% 72.32/45.15 inference(quant_inst,[status(thm)],[])).
% 72.32/45.15 tff(2346,plain,
% 72.32/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17))),
% 72.32/45.15 inference(modus_ponens,[status(thm)],[2345, 2344])).
% 72.32/45.15 tff(2347,plain,
% 72.32/45.15 (~v101(constB17)),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2346, 56, 2340, 2337])).
% 72.32/45.15 tff(2348,plain,
% 72.32/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2349,plain,
% 72.32/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))),
% 72.32/45.15 inference(quant_inst,[status(thm)],[])).
% 72.32/45.15 tff(2350,plain,
% 72.32/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17))),
% 72.32/45.15 inference(modus_ponens,[status(thm)],[2349, 2348])).
% 72.32/45.15 tff(2351,plain,
% 72.32/45.15 (v101(constB17) | (~v100(constB17))),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2350, 73, 2340])).
% 72.32/45.15 tff(2352,plain,
% 72.32/45.15 (~v100(constB17)),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2351, 2347])).
% 72.32/45.15 tff(2353,plain,
% 72.32/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2354,plain,
% 72.32/45.15 (((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2))) <=> (v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2355,plain,
% 72.32/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2))))),
% 72.32/45.15 inference(monotonicity,[status(thm)],[2354])).
% 72.32/45.15 tff(2356,plain,
% 72.32/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 72.32/45.15 inference(transitivity,[status(thm)],[2355, 2353])).
% 72.32/45.15 tff(2357,plain,
% 72.32/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 72.32/45.15 inference(quant_inst,[status(thm)],[])).
% 72.32/45.15 tff(2358,plain,
% 72.32/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2))),
% 72.32/45.15 inference(modus_ponens,[status(thm)],[2357, 2356])).
% 72.32/45.15 tff(2359,plain,
% 72.32/45.15 (v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2))),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2358, 88, 2340])).
% 72.32/45.15 tff(2360,plain,
% 72.32/45.15 (v90(constB16, bitIndex2) | (~v90(constB17, bitIndex2))),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2359, 2352])).
% 72.32/45.15 tff(2361,plain,
% 72.32/45.15 (~v90(constB17, bitIndex2)),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2360, 2334])).
% 72.32/45.15 tff(2362,plain,
% 72.32/45.15 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB15)) | v130(constB15, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB15)) | v130(constB15, bitIndex1))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2363,plain,
% 72.32/45.15 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB15)) | v130(constB15, bitIndex1))),
% 72.32/45.15 inference(quant_inst,[status(thm)],[])).
% 72.32/45.15 tff(2364,plain,
% 72.32/45.15 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB15)) | v130(constB15, bitIndex1)),
% 72.32/45.15 inference(modus_ponens,[status(thm)],[2363, 2362])).
% 72.32/45.15 tff(2365,plain,
% 72.32/45.15 (v130(constB15, bitIndex1)),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2364, 810, 2232])).
% 72.32/45.15 tff(2366,plain,
% 72.32/45.15 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB15) | (~v130(constB15, bitIndex1)) | v127(constB15, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB15) | (~v130(constB15, bitIndex1)) | v127(constB15, bitIndex1))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2367,plain,
% 72.32/45.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB15) | (~v130(constB15, bitIndex1)) | v127(constB15, bitIndex1))),
% 72.32/45.15 inference(quant_inst,[status(thm)],[])).
% 72.32/45.15 tff(2368,plain,
% 72.32/45.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB15) | (~v130(constB15, bitIndex1)) | v127(constB15, bitIndex1)),
% 72.32/45.15 inference(modus_ponens,[status(thm)],[2367, 2366])).
% 72.32/45.15 tff(2369,plain,
% 72.32/45.15 ((~v130(constB15, bitIndex1)) | v127(constB15, bitIndex1)),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2368, 824, 2260])).
% 72.32/45.15 tff(2370,plain,
% 72.32/45.15 (v127(constB15, bitIndex1)),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2369, 2365])).
% 72.32/45.15 tff(2371,plain,
% 72.32/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB15, constB16)) | (~v127(constB15, bitIndex1)) | v129(constB16, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB15, constB16)) | (~v127(constB15, bitIndex1)) | v129(constB16, bitIndex1))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2372,plain,
% 72.32/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB15, constB16)) | (~v127(constB15, bitIndex1)) | v129(constB16, bitIndex1))),
% 72.32/45.15 inference(quant_inst,[status(thm)],[])).
% 72.32/45.15 tff(2373,plain,
% 72.32/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB15, constB16)) | (~v127(constB15, bitIndex1)) | v129(constB16, bitIndex1)),
% 72.32/45.15 inference(modus_ponens,[status(thm)],[2372, 2371])).
% 72.32/45.15 tff(2374,plain,
% 72.32/45.15 ((~v127(constB15, bitIndex1)) | v129(constB16, bitIndex1)),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2373, 839, 2275])).
% 72.32/45.15 tff(2375,plain,
% 72.32/45.15 (v129(constB16, bitIndex1)),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2374, 2370])).
% 72.32/45.15 tff(2376,plain,
% 72.32/45.15 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1)) | (~v100(constB16)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1)) | (~v100(constB16)))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2377,plain,
% 72.32/45.15 ((v90(constB16, bitIndex1) | (~v100(constB16)) | (~v129(constB16, bitIndex1))) <=> (v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1)) | (~v100(constB16)))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2378,plain,
% 72.32/45.15 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~v100(constB16)) | (~v129(constB16, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1)) | (~v100(constB16))))),
% 72.32/45.15 inference(monotonicity,[status(thm)],[2377])).
% 72.32/45.15 tff(2379,plain,
% 72.32/45.15 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~v100(constB16)) | (~v129(constB16, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1)) | (~v100(constB16)))),
% 72.32/45.15 inference(transitivity,[status(thm)],[2378, 2376])).
% 72.32/45.15 tff(2380,plain,
% 72.32/45.15 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~v100(constB16)) | (~v129(constB16, bitIndex1)))),
% 72.32/45.15 inference(quant_inst,[status(thm)],[])).
% 72.32/45.15 tff(2381,plain,
% 72.32/45.15 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1)) | (~v100(constB16))),
% 72.32/45.15 inference(modus_ponens,[status(thm)],[2380, 2379])).
% 72.32/45.15 tff(2382,plain,
% 72.32/45.15 (v90(constB16, bitIndex1) | (~v100(constB16))),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2381, 854, 2375])).
% 72.32/45.15 tff(2383,plain,
% 72.32/45.15 (v90(constB16, bitIndex1)),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2382, 2309])).
% 72.32/45.15 tff(2384,plain,
% 72.32/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex1))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2385,plain,
% 72.32/45.15 (((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex1)) | v100(constB17) | v90(constB17, bitIndex1)) <=> ((~v90(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex1))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2386,plain,
% 72.32/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex1)) | v100(constB17) | v90(constB17, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex1)))),
% 72.32/45.15 inference(monotonicity,[status(thm)],[2385])).
% 72.32/45.15 tff(2387,plain,
% 72.32/45.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex1)) | v100(constB17) | v90(constB17, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex1))),
% 72.32/45.15 inference(transitivity,[status(thm)],[2386, 2384])).
% 72.32/45.15 tff(2388,plain,
% 72.32/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex1)) | v100(constB17) | v90(constB17, bitIndex1))),
% 72.32/45.15 inference(quant_inst,[status(thm)],[])).
% 72.32/45.15 tff(2389,plain,
% 72.32/45.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex1)),
% 72.32/45.15 inference(modus_ponens,[status(thm)],[2388, 2387])).
% 72.32/45.15 tff(2390,plain,
% 72.32/45.15 ((~v90(constB16, bitIndex1)) | v100(constB17) | v90(constB17, bitIndex1)),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2389, 872, 2340])).
% 72.32/45.15 tff(2391,plain,
% 72.32/45.15 ((~v90(constB16, bitIndex1)) | v90(constB17, bitIndex1)),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2390, 2352])).
% 72.32/45.15 tff(2392,plain,
% 72.32/45.15 (v90(constB17, bitIndex1)),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2391, 2383])).
% 72.32/45.15 tff(2393,plain,
% 72.32/45.15 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB15)) | (~v130(constB15, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB15)) | (~v130(constB15, bitIndex0)))),
% 72.32/45.15 inference(rewrite,[status(thm)],[])).
% 72.32/45.15 tff(2394,plain,
% 72.32/45.15 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB15)) | (~v130(constB15, bitIndex0)))),
% 72.32/45.15 inference(quant_inst,[status(thm)],[])).
% 72.32/45.15 tff(2395,plain,
% 72.32/45.15 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB15)) | (~v130(constB15, bitIndex0))),
% 72.32/45.15 inference(modus_ponens,[status(thm)],[2394, 2393])).
% 72.32/45.15 tff(2396,plain,
% 72.32/45.15 (~v130(constB15, bitIndex0)),
% 72.32/45.15 inference(unit_resolution,[status(thm)],[2395, 891, 2232])).
% 72.32/45.15 tff(2397,plain,
% 72.32/45.15 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2398,plain,
% 72.32/45.16 ((v26(constB15) | v130(constB15, bitIndex0) | (~v127(constB15, bitIndex0))) <=> ((~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2399,plain,
% 72.32/45.16 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB15) | v130(constB15, bitIndex0) | (~v127(constB15, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0)))),
% 72.32/45.16 inference(monotonicity,[status(thm)],[2398])).
% 72.32/45.16 tff(2400,plain,
% 72.32/45.16 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB15) | v130(constB15, bitIndex0) | (~v127(constB15, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0))),
% 72.32/45.16 inference(transitivity,[status(thm)],[2399, 2397])).
% 72.32/45.16 tff(2401,plain,
% 72.32/45.16 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB15) | v130(constB15, bitIndex0) | (~v127(constB15, bitIndex0)))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2402,plain,
% 72.32/45.16 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0)),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2401, 2400])).
% 72.32/45.16 tff(2403,plain,
% 72.32/45.16 ((~v127(constB15, bitIndex0)) | v130(constB15, bitIndex0)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2402, 905, 2260])).
% 72.32/45.16 tff(2404,plain,
% 72.32/45.16 (~v127(constB15, bitIndex0)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2403, 2396])).
% 72.32/45.16 tff(2405,plain,
% 72.32/45.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex0) | (~v129(constB16, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex0) | (~v129(constB16, bitIndex0)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2406,plain,
% 72.32/45.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex0) | (~v129(constB16, bitIndex0)))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2407,plain,
% 72.32/45.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex0) | (~v129(constB16, bitIndex0))),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2406, 2405])).
% 72.32/45.16 tff(2408,plain,
% 72.32/45.16 (v127(constB15, bitIndex0) | (~v129(constB16, bitIndex0))),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2407, 923, 2275])).
% 72.32/45.16 tff(2409,plain,
% 72.32/45.16 (~v129(constB16, bitIndex0)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2408, 2404])).
% 72.32/45.16 tff(2410,plain,
% 72.32/45.16 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2411,plain,
% 72.32/45.16 (((~v90(constB16, bitIndex0)) | (~v100(constB16)) | v129(constB16, bitIndex0)) <=> ((~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2412,plain,
% 72.32/45.16 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | (~v100(constB16)) | v129(constB16, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16))))),
% 72.32/45.16 inference(monotonicity,[status(thm)],[2411])).
% 72.32/45.16 tff(2413,plain,
% 72.32/45.16 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | (~v100(constB16)) | v129(constB16, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16)))),
% 72.32/45.16 inference(transitivity,[status(thm)],[2412, 2410])).
% 72.32/45.16 tff(2414,plain,
% 72.32/45.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | (~v100(constB16)) | v129(constB16, bitIndex0))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2415,plain,
% 72.32/45.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16))),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2414, 2413])).
% 72.32/45.16 tff(2416,plain,
% 72.32/45.16 ((~v90(constB16, bitIndex0)) | (~v100(constB16))),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2415, 938, 2409])).
% 72.32/45.16 tff(2417,plain,
% 72.32/45.16 (~v90(constB16, bitIndex0)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2416, 2309])).
% 72.32/45.16 tff(2418,plain,
% 72.32/45.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex0)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2419,plain,
% 72.32/45.16 (((~nextState(constB16, constB17)) | v90(constB16, bitIndex0) | v100(constB17) | (~v90(constB17, bitIndex0))) <=> (v90(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex0)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2420,plain,
% 72.32/45.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex0) | v100(constB17) | (~v90(constB17, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex0))))),
% 72.32/45.16 inference(monotonicity,[status(thm)],[2419])).
% 72.32/45.16 tff(2421,plain,
% 72.32/45.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex0) | v100(constB17) | (~v90(constB17, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex0)))),
% 72.32/45.16 inference(transitivity,[status(thm)],[2420, 2418])).
% 72.32/45.16 tff(2422,plain,
% 72.32/45.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex0) | v100(constB17) | (~v90(constB17, bitIndex0)))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2423,plain,
% 72.32/45.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex0))),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2422, 2421])).
% 72.32/45.16 tff(2424,plain,
% 72.32/45.16 (v90(constB16, bitIndex0) | v100(constB17) | (~v90(constB17, bitIndex0))),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2423, 130, 2340])).
% 72.32/45.16 tff(2425,plain,
% 72.32/45.16 (v90(constB16, bitIndex0) | (~v90(constB17, bitIndex0))),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2424, 2352])).
% 72.32/45.16 tff(2426,plain,
% 72.32/45.16 (~v90(constB17, bitIndex0)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2425, 2417])).
% 72.32/45.16 tff(2427,plain,
% 72.32/45.16 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v121(constB17))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v121(constB17))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2428,plain,
% 72.32/45.16 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v121(constB17))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2429,plain,
% 72.32/45.16 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v121(constB17)),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2428, 2427])).
% 72.32/45.16 tff(2430,plain,
% 72.32/45.16 (v121(constB17)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2429, 965, 2426, 2392, 2361])).
% 72.32/45.16 tff(2431,plain,
% 72.32/45.16 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB17) | (~v121(constB17)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB17) | (~v121(constB17)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2432,plain,
% 72.32/45.16 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB17) | (~v121(constB17)))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2433,plain,
% 72.32/45.16 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB17) | (~v121(constB17))),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2432, 2431])).
% 72.32/45.16 tff(2434,plain,
% 72.32/45.16 (v117(constB17)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2433, 976, 2430])).
% 72.32/45.16 tff(2435,plain,
% 72.32/45.16 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB17) | (~v117(constB17)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB17) | (~v117(constB17)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2436,plain,
% 72.32/45.16 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB17) | (~v117(constB17)))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2437,plain,
% 72.32/45.16 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB17) | (~v117(constB17))),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2436, 2435])).
% 72.32/45.16 tff(2438,plain,
% 72.32/45.16 (v116(constB17)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2437, 254, 2434])).
% 72.32/45.16 tff(2439,plain,
% 72.32/45.16 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB17) | (~v116(constB17)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB17) | (~v116(constB17)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2440,plain,
% 72.32/45.16 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB17) | (~v116(constB17)))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2441,plain,
% 72.32/45.16 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB17) | (~v116(constB17))),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2440, 2439])).
% 72.32/45.16 tff(2442,plain,
% 72.32/45.16 (v115(constB17)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2441, 265, 2438])).
% 72.32/45.16 tff(2443,plain,
% 72.32/45.16 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB17) | (~v115(constB17)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB17) | (~v115(constB17)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2444,plain,
% 72.32/45.16 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB17) | (~v115(constB17)))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2445,plain,
% 72.32/45.16 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB17) | (~v115(constB17))),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2444, 2443])).
% 72.32/45.16 tff(2446,plain,
% 72.32/45.16 (v114(constB17)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2445, 276, 2442])).
% 72.32/45.16 tff(2447,plain,
% 72.32/45.16 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB17) | (~v114(constB17)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB17) | (~v114(constB17)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2448,plain,
% 72.32/45.16 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB17) | (~v114(constB17)))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2449,plain,
% 72.32/45.16 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB17) | (~v114(constB17))),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2448, 2447])).
% 72.32/45.16 tff(2450,plain,
% 72.32/45.16 (v113(constB17)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2449, 287, 2446])).
% 72.32/45.16 tff(2451,assumption,(v26(constB17)), introduced(assumption)).
% 72.32/45.16 tff(2452,plain,
% 72.32/45.16 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB17))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2453,plain,
% 72.32/45.16 ($false),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2452, 37, 2451])).
% 72.32/45.16 tff(2454,plain,(~v26(constB17)), inference(lemma,lemma(discharge,[]))).
% 72.32/45.16 tff(2455,plain,
% 72.32/45.16 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | v112(constB17) | (~v113(constB17)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | v112(constB17) | (~v113(constB17)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2456,plain,
% 72.32/45.16 ((v26(constB17) | (~v113(constB17)) | v112(constB17)) <=> (v26(constB17) | v112(constB17) | (~v113(constB17)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2457,plain,
% 72.32/45.16 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | v112(constB17) | (~v113(constB17))))),
% 72.32/45.16 inference(monotonicity,[status(thm)],[2456])).
% 72.32/45.16 tff(2458,plain,
% 72.32/45.16 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | v112(constB17) | (~v113(constB17)))),
% 72.32/45.16 inference(transitivity,[status(thm)],[2457, 2455])).
% 72.32/45.16 tff(2459,plain,
% 72.32/45.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2460,plain,
% 72.32/45.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | v112(constB17) | (~v113(constB17))),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2459, 2458])).
% 72.32/45.16 tff(2461,plain,
% 72.32/45.16 (v112(constB17) | (~v113(constB17))),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2460, 301, 2454])).
% 72.32/45.16 tff(2462,plain,
% 72.32/45.16 (v112(constB17)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2461, 2450])).
% 72.32/45.16 tff(2463,plain,
% 72.32/45.16 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB17) | (~v112(constB17)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB17) | (~v112(constB17)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2464,plain,
% 72.32/45.16 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB17) | (~v112(constB17)))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2465,plain,
% 72.32/45.16 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB17) | (~v112(constB17))),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2464, 2463])).
% 72.32/45.16 tff(2466,plain,
% 72.32/45.16 (v108(constB17)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2465, 210, 2462])).
% 72.32/45.16 tff(2467,plain,
% 72.32/45.16 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2468,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_17_1')).
% 72.32/45.16 tff(2469,plain,
% 72.32/45.16 (nextState(constB17, constB18)),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2468, 2467])).
% 72.32/45.16 tff(2470,plain,
% 72.32/45.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2471,plain,
% 72.32/45.16 (((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18)) <=> ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2472,plain,
% 72.32/45.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17))))),
% 72.32/45.16 inference(monotonicity,[status(thm)],[2471])).
% 72.32/45.16 tff(2473,plain,
% 72.32/45.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 72.32/45.16 inference(transitivity,[status(thm)],[2472, 2470])).
% 72.32/45.16 tff(2474,plain,
% 72.32/45.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2475,plain,
% 72.32/45.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17))),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2474, 2473])).
% 72.32/45.16 tff(2476,plain,
% 72.32/45.16 (v110(constB18) | (~v108(constB17))),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2475, 317, 2469])).
% 72.32/45.16 tff(2477,plain,
% 72.32/45.16 (v110(constB18)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2476, 2466])).
% 72.32/45.16 tff(2478,plain,
% 72.32/45.16 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2479,plain,
% 72.32/45.16 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2480,plain,
% 72.32/45.16 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18))),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2479, 2478])).
% 72.32/45.16 tff(2481,plain,
% 72.32/45.16 (~v104(constB18)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2480, 335, 2469, 2337])).
% 72.32/45.16 tff(2482,plain,
% 72.32/45.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2483,plain,
% 72.32/45.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2484,plain,
% 72.32/45.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v102(constB18) | v104(constB18)),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2483, 2482])).
% 72.32/45.16 tff(2485,plain,
% 72.32/45.16 (v102(constB18) | v104(constB18)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2484, 349, 2469])).
% 72.32/45.16 tff(2486,plain,
% 72.32/45.16 (v102(constB18)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2485, 2481])).
% 72.32/45.16 tff(2487,plain,
% 72.32/45.16 (v1(constB18) <=> v1(constB18)),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2488,axiom,(v1(constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_18_1')).
% 72.32/45.16 tff(2489,plain,
% 72.32/45.16 (v1(constB18)),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2488, 2487])).
% 72.32/45.16 tff(2490,plain,
% 72.32/45.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2491,plain,
% 72.32/45.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2492,plain,
% 72.32/45.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18))),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2491, 2490])).
% 72.32/45.16 tff(2493,plain,
% 72.32/45.16 (v101(constB18) | (~v102(constB18))),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2492, 367, 2469, 2489])).
% 72.32/45.16 tff(2494,plain,
% 72.32/45.16 (v101(constB18)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2493, 2486])).
% 72.32/45.16 tff(2495,plain,
% 72.32/45.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2496,plain,
% 72.32/45.16 (((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18)) <=> ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2497,plain,
% 72.32/45.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18))))),
% 72.32/45.16 inference(monotonicity,[status(thm)],[2496])).
% 72.32/45.16 tff(2498,plain,
% 72.32/45.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 72.32/45.16 inference(transitivity,[status(thm)],[2497, 2495])).
% 72.32/45.16 tff(2499,plain,
% 72.32/45.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2500,plain,
% 72.32/45.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18))),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2499, 2498])).
% 72.32/45.16 tff(2501,plain,
% 72.32/45.16 (v100(constB18) | (~v101(constB18)) | (~v110(constB18))),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2500, 382, 2469])).
% 72.32/45.16 tff(2502,plain,
% 72.32/45.16 (v100(constB18) | (~v110(constB18))),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2501, 2494])).
% 72.32/45.16 tff(2503,plain,
% 72.32/45.16 (v100(constB18)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2502, 2477])).
% 72.32/45.16 tff(2504,plain,
% 72.32/45.16 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB17)) | (~v130(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB17)) | (~v130(constB17, bitIndex2)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2505,plain,
% 72.32/45.16 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB17)) | (~v130(constB17, bitIndex2)))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2506,plain,
% 72.32/45.16 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB17)) | (~v130(constB17, bitIndex2))),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2505, 2504])).
% 72.32/45.16 tff(2507,plain,
% 72.32/45.16 (~v130(constB17, bitIndex2)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2506, 1059, 2430])).
% 72.32/45.16 tff(2508,plain,
% 72.32/45.16 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2509,plain,
% 72.32/45.16 ((v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2))) <=> ((~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2510,plain,
% 72.32/45.16 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2)))),
% 72.32/45.16 inference(monotonicity,[status(thm)],[2509])).
% 72.32/45.16 tff(2511,plain,
% 72.32/45.16 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))),
% 72.32/45.16 inference(transitivity,[status(thm)],[2510, 2508])).
% 72.32/45.16 tff(2512,plain,
% 72.32/45.16 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2)))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2513,plain,
% 72.32/45.16 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2)),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2512, 2511])).
% 72.32/45.16 tff(2514,plain,
% 72.32/45.16 ((~v127(constB17, bitIndex2)) | v130(constB17, bitIndex2)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2513, 470, 2454])).
% 72.32/45.16 tff(2515,plain,
% 72.32/45.16 (~v127(constB17, bitIndex2)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2514, 2507])).
% 72.32/45.16 tff(2516,plain,
% 72.32/45.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2517,plain,
% 72.32/45.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2)))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2518,plain,
% 72.32/45.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2))),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2517, 2516])).
% 72.32/45.16 tff(2519,plain,
% 72.32/45.16 (v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2))),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2518, 488, 2469])).
% 72.32/45.16 tff(2520,plain,
% 72.32/45.16 (~v129(constB18, bitIndex2)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2519, 2515])).
% 72.32/45.16 tff(2521,plain,
% 72.32/45.16 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2522,plain,
% 72.32/45.16 (((~v90(constB18, bitIndex2)) | (~v100(constB18)) | v129(constB18, bitIndex2)) <=> ((~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2523,plain,
% 72.32/45.16 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB18, bitIndex2)) | (~v100(constB18)) | v129(constB18, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18))))),
% 72.32/45.16 inference(monotonicity,[status(thm)],[2522])).
% 72.32/45.16 tff(2524,plain,
% 72.32/45.16 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB18, bitIndex2)) | (~v100(constB18)) | v129(constB18, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))),
% 72.32/45.16 inference(transitivity,[status(thm)],[2523, 2521])).
% 72.32/45.16 tff(2525,plain,
% 72.32/45.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB18, bitIndex2)) | (~v100(constB18)) | v129(constB18, bitIndex2))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2526,plain,
% 72.32/45.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18))),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2525, 2524])).
% 72.32/45.16 tff(2527,plain,
% 72.32/45.16 ((~v90(constB18, bitIndex2)) | (~v100(constB18))),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2526, 503, 2520])).
% 72.32/45.16 tff(2528,plain,
% 72.32/45.16 (~v90(constB18, bitIndex2)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2527, 2503])).
% 72.32/45.16 tff(2529,plain,
% 72.32/45.16 ((~v1(constB19)) <=> (~v1(constB19))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2530,axiom,(~v1(constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_19_1_1')).
% 72.32/45.16 tff(2531,plain,
% 72.32/45.16 (~v1(constB19)),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2530, 2529])).
% 72.32/45.16 tff(2532,plain,
% 72.32/45.16 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2533,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_18_1')).
% 72.32/45.16 tff(2534,plain,
% 72.32/45.16 (nextState(constB18, constB19)),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2533, 2532])).
% 72.32/45.16 tff(2535,plain,
% 72.32/45.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2536,plain,
% 72.32/45.16 (((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19)) <=> (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2537,plain,
% 72.32/45.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19))))),
% 72.32/45.16 inference(monotonicity,[status(thm)],[2536])).
% 72.32/45.16 tff(2538,plain,
% 72.32/45.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 72.32/45.16 inference(transitivity,[status(thm)],[2537, 2535])).
% 72.32/45.16 tff(2539,plain,
% 72.32/45.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2540,plain,
% 72.32/45.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19))),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2539, 2538])).
% 72.32/45.16 tff(2541,plain,
% 72.32/45.16 (~v101(constB19)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2540, 56, 2534, 2531])).
% 72.32/45.16 tff(2542,plain,
% 72.32/45.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2543,plain,
% 72.32/45.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2544,plain,
% 72.32/45.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19))),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2543, 2542])).
% 72.32/45.16 tff(2545,plain,
% 72.32/45.16 (v101(constB19) | (~v100(constB19))),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2544, 73, 2534])).
% 72.32/45.16 tff(2546,plain,
% 72.32/45.16 (~v100(constB19)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2545, 2541])).
% 72.32/45.16 tff(2547,plain,
% 72.32/45.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2548,plain,
% 72.32/45.16 (((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2))) <=> (v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2549,plain,
% 72.32/45.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2))))),
% 72.32/45.16 inference(monotonicity,[status(thm)],[2548])).
% 72.32/45.16 tff(2550,plain,
% 72.32/45.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 72.32/45.16 inference(transitivity,[status(thm)],[2549, 2547])).
% 72.32/45.16 tff(2551,plain,
% 72.32/45.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2552,plain,
% 72.32/45.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2))),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2551, 2550])).
% 72.32/45.16 tff(2553,plain,
% 72.32/45.16 (v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2))),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2552, 88, 2534])).
% 72.32/45.16 tff(2554,plain,
% 72.32/45.16 (v90(constB18, bitIndex2) | (~v90(constB19, bitIndex2))),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2553, 2546])).
% 72.32/45.16 tff(2555,plain,
% 72.32/45.16 (~v90(constB19, bitIndex2)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2554, 2528])).
% 72.32/45.16 tff(2556,plain,
% 72.32/45.16 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB17)) | v130(constB17, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB17)) | v130(constB17, bitIndex1))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2557,plain,
% 72.32/45.16 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB17)) | v130(constB17, bitIndex1))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2558,plain,
% 72.32/45.16 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB17)) | v130(constB17, bitIndex1)),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2557, 2556])).
% 72.32/45.16 tff(2559,plain,
% 72.32/45.16 (v130(constB17, bitIndex1)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2558, 1121, 2430])).
% 72.32/45.16 tff(2560,plain,
% 72.32/45.16 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1))),
% 72.32/45.16 inference(rewrite,[status(thm)],[])).
% 72.32/45.16 tff(2561,plain,
% 72.32/45.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1))),
% 72.32/45.16 inference(quant_inst,[status(thm)],[])).
% 72.32/45.16 tff(2562,plain,
% 72.32/45.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1)),
% 72.32/45.16 inference(modus_ponens,[status(thm)],[2561, 2560])).
% 72.32/45.16 tff(2563,plain,
% 72.32/45.16 ((~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2562, 824, 2454])).
% 72.32/45.16 tff(2564,plain,
% 72.32/45.16 (v127(constB17, bitIndex1)),
% 72.32/45.16 inference(unit_resolution,[status(thm)],[2563, 2559])).
% 72.32/45.16 tff(2565,plain,
% 72.32/45.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2566,plain,
% 72.32/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1))),
% 72.32/45.17 inference(quant_inst,[status(thm)],[])).
% 72.32/45.17 tff(2567,plain,
% 72.32/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1)),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2566, 2565])).
% 72.32/45.17 tff(2568,plain,
% 72.32/45.17 ((~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2567, 839, 2469])).
% 72.32/45.17 tff(2569,plain,
% 72.32/45.17 (v129(constB18, bitIndex1)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2568, 2564])).
% 72.32/45.17 tff(2570,plain,
% 72.32/45.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2571,plain,
% 72.32/45.17 ((v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1))) <=> (v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2572,plain,
% 72.32/45.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18))))),
% 72.32/45.17 inference(monotonicity,[status(thm)],[2571])).
% 72.32/45.17 tff(2573,plain,
% 72.32/45.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))),
% 72.32/45.17 inference(transitivity,[status(thm)],[2572, 2570])).
% 72.32/45.17 tff(2574,plain,
% 72.32/45.17 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1)))),
% 72.32/45.17 inference(quant_inst,[status(thm)],[])).
% 72.32/45.17 tff(2575,plain,
% 72.32/45.17 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18))),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2574, 2573])).
% 72.32/45.17 tff(2576,plain,
% 72.32/45.17 (v90(constB18, bitIndex1) | (~v100(constB18))),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2575, 854, 2569])).
% 72.32/45.17 tff(2577,plain,
% 72.32/45.17 (v90(constB18, bitIndex1)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2576, 2503])).
% 72.32/45.17 tff(2578,plain,
% 72.32/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2579,plain,
% 72.32/45.17 (((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1)) <=> ((~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2580,plain,
% 72.32/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1)))),
% 72.32/45.17 inference(monotonicity,[status(thm)],[2579])).
% 72.32/45.17 tff(2581,plain,
% 72.32/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))),
% 72.32/45.17 inference(transitivity,[status(thm)],[2580, 2578])).
% 72.32/45.17 tff(2582,plain,
% 72.32/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1))),
% 72.32/45.17 inference(quant_inst,[status(thm)],[])).
% 72.32/45.17 tff(2583,plain,
% 72.32/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1)),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2582, 2581])).
% 72.32/45.17 tff(2584,plain,
% 72.32/45.17 ((~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2583, 872, 2534])).
% 72.32/45.17 tff(2585,plain,
% 72.32/45.17 ((~v90(constB18, bitIndex1)) | v90(constB19, bitIndex1)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2584, 2546])).
% 72.32/45.17 tff(2586,plain,
% 72.32/45.17 (v90(constB19, bitIndex1)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2585, 2577])).
% 72.32/45.17 tff(2587,plain,
% 72.32/45.17 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB17)) | v130(constB17, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB17)) | v130(constB17, bitIndex0))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2588,plain,
% 72.32/45.17 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB17)) | v130(constB17, bitIndex0))),
% 72.32/45.17 inference(quant_inst,[status(thm)],[])).
% 72.32/45.17 tff(2589,plain,
% 72.32/45.17 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB17)) | v130(constB17, bitIndex0)),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2588, 2587])).
% 72.32/45.17 tff(2590,plain,
% 72.32/45.17 (v130(constB17, bitIndex0)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2589, 1162, 2430])).
% 72.32/45.17 tff(2591,plain,
% 72.32/45.17 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB17) | (~v130(constB17, bitIndex0)) | v127(constB17, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB17) | (~v130(constB17, bitIndex0)) | v127(constB17, bitIndex0))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2592,plain,
% 72.32/45.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB17) | (~v130(constB17, bitIndex0)) | v127(constB17, bitIndex0))),
% 72.32/45.17 inference(quant_inst,[status(thm)],[])).
% 72.32/45.17 tff(2593,plain,
% 72.32/45.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB17) | (~v130(constB17, bitIndex0)) | v127(constB17, bitIndex0)),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2592, 2591])).
% 72.32/45.17 tff(2594,plain,
% 72.32/45.17 ((~v130(constB17, bitIndex0)) | v127(constB17, bitIndex0)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2593, 179, 2454])).
% 72.32/45.17 tff(2595,plain,
% 72.32/45.17 (v127(constB17, bitIndex0)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2594, 2590])).
% 72.32/45.17 tff(2596,plain,
% 72.32/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB17, constB18)) | (~v127(constB17, bitIndex0)) | v129(constB18, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB17, constB18)) | (~v127(constB17, bitIndex0)) | v129(constB18, bitIndex0))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2597,plain,
% 72.32/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB17, constB18)) | (~v127(constB17, bitIndex0)) | v129(constB18, bitIndex0))),
% 72.32/45.17 inference(quant_inst,[status(thm)],[])).
% 72.32/45.17 tff(2598,plain,
% 72.32/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB17, constB18)) | (~v127(constB17, bitIndex0)) | v129(constB18, bitIndex0)),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2597, 2596])).
% 72.32/45.17 tff(2599,plain,
% 72.32/45.17 ((~v127(constB17, bitIndex0)) | v129(constB18, bitIndex0)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2598, 197, 2469])).
% 72.32/45.17 tff(2600,plain,
% 72.32/45.17 (v129(constB18, bitIndex0)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2599, 2595])).
% 72.32/45.17 tff(2601,plain,
% 72.32/45.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0)) | (~v100(constB18)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0)) | (~v100(constB18)))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2602,plain,
% 72.32/45.17 ((v90(constB18, bitIndex0) | (~v100(constB18)) | (~v129(constB18, bitIndex0))) <=> (v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0)) | (~v100(constB18)))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2603,plain,
% 72.32/45.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~v100(constB18)) | (~v129(constB18, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0)) | (~v100(constB18))))),
% 72.32/45.17 inference(monotonicity,[status(thm)],[2602])).
% 72.32/45.17 tff(2604,plain,
% 72.32/45.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~v100(constB18)) | (~v129(constB18, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0)) | (~v100(constB18)))),
% 72.32/45.17 inference(transitivity,[status(thm)],[2603, 2601])).
% 72.32/45.17 tff(2605,plain,
% 72.32/45.17 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~v100(constB18)) | (~v129(constB18, bitIndex0)))),
% 72.32/45.17 inference(quant_inst,[status(thm)],[])).
% 72.32/45.17 tff(2606,plain,
% 72.32/45.17 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0)) | (~v100(constB18))),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2605, 2604])).
% 72.32/45.17 tff(2607,plain,
% 72.32/45.17 (v90(constB18, bitIndex0) | (~v100(constB18))),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2606, 401, 2600])).
% 72.32/45.17 tff(2608,plain,
% 72.32/45.17 (v90(constB18, bitIndex0)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2607, 2503])).
% 72.32/45.17 tff(2609,plain,
% 72.32/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex0))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2610,plain,
% 72.32/45.17 (((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex0)) | v100(constB19) | v90(constB19, bitIndex0)) <=> ((~v90(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex0))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2611,plain,
% 72.32/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex0)) | v100(constB19) | v90(constB19, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex0)))),
% 72.32/45.17 inference(monotonicity,[status(thm)],[2610])).
% 72.32/45.17 tff(2612,plain,
% 72.32/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex0)) | v100(constB19) | v90(constB19, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex0))),
% 72.32/45.17 inference(transitivity,[status(thm)],[2611, 2609])).
% 72.32/45.17 tff(2613,plain,
% 72.32/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex0)) | v100(constB19) | v90(constB19, bitIndex0))),
% 72.32/45.17 inference(quant_inst,[status(thm)],[])).
% 72.32/45.17 tff(2614,plain,
% 72.32/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex0)),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2613, 2612])).
% 72.32/45.17 tff(2615,plain,
% 72.32/45.17 ((~v90(constB18, bitIndex0)) | v100(constB19) | v90(constB19, bitIndex0)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2614, 437, 2534])).
% 72.32/45.17 tff(2616,plain,
% 72.32/45.17 ((~v90(constB18, bitIndex0)) | v90(constB19, bitIndex0)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2615, 2546])).
% 72.32/45.17 tff(2617,plain,
% 72.32/45.17 (v90(constB19, bitIndex0)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2616, 2608])).
% 72.32/45.17 tff(2618,plain,
% 72.32/45.17 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v122(constB19))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v122(constB19))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2619,plain,
% 72.32/45.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v122(constB19))),
% 72.32/45.17 inference(quant_inst,[status(thm)],[])).
% 72.32/45.17 tff(2620,plain,
% 72.32/45.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v122(constB19)),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2619, 2618])).
% 72.32/45.17 tff(2621,plain,
% 72.32/45.17 (v122(constB19)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2620, 1203, 2617, 2586, 2555])).
% 72.32/45.17 tff(2622,plain,
% 72.32/45.17 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB19) | (~v122(constB19)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB19) | (~v122(constB19)))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2623,plain,
% 72.32/45.17 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB19) | (~v122(constB19)))),
% 72.32/45.17 inference(quant_inst,[status(thm)],[])).
% 72.32/45.17 tff(2624,plain,
% 72.32/45.17 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB19) | (~v122(constB19))),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2623, 2622])).
% 72.32/45.17 tff(2625,plain,
% 72.32/45.17 (v116(constB19)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2624, 1214, 2621])).
% 72.32/45.17 tff(2626,plain,
% 72.32/45.17 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB19) | (~v116(constB19)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB19) | (~v116(constB19)))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2627,plain,
% 72.32/45.17 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB19) | (~v116(constB19)))),
% 72.32/45.17 inference(quant_inst,[status(thm)],[])).
% 72.32/45.17 tff(2628,plain,
% 72.32/45.17 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB19) | (~v116(constB19))),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2627, 2626])).
% 72.32/45.17 tff(2629,plain,
% 72.32/45.17 (v115(constB19)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2628, 265, 2625])).
% 72.32/45.17 tff(2630,plain,
% 72.32/45.17 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB19) | (~v115(constB19)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB19) | (~v115(constB19)))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2631,plain,
% 72.32/45.17 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB19) | (~v115(constB19)))),
% 72.32/45.17 inference(quant_inst,[status(thm)],[])).
% 72.32/45.17 tff(2632,plain,
% 72.32/45.17 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB19) | (~v115(constB19))),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2631, 2630])).
% 72.32/45.17 tff(2633,plain,
% 72.32/45.17 (v114(constB19)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2632, 276, 2629])).
% 72.32/45.17 tff(2634,plain,
% 72.32/45.17 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB19) | (~v114(constB19)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB19) | (~v114(constB19)))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2635,plain,
% 72.32/45.17 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB19) | (~v114(constB19)))),
% 72.32/45.17 inference(quant_inst,[status(thm)],[])).
% 72.32/45.17 tff(2636,plain,
% 72.32/45.17 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB19) | (~v114(constB19))),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2635, 2634])).
% 72.32/45.17 tff(2637,plain,
% 72.32/45.17 (v113(constB19)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2636, 287, 2633])).
% 72.32/45.17 tff(2638,assumption,(v26(constB19)), introduced(assumption)).
% 72.32/45.17 tff(2639,plain,
% 72.32/45.17 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB19))),
% 72.32/45.17 inference(quant_inst,[status(thm)],[])).
% 72.32/45.17 tff(2640,plain,
% 72.32/45.17 ($false),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2639, 37, 2638])).
% 72.32/45.17 tff(2641,plain,(~v26(constB19)), inference(lemma,lemma(discharge,[]))).
% 72.32/45.17 tff(2642,plain,
% 72.32/45.17 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | (~v113(constB19)) | v112(constB19))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2643,plain,
% 72.32/45.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))),
% 72.32/45.17 inference(quant_inst,[status(thm)],[])).
% 72.32/45.17 tff(2644,plain,
% 72.32/45.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | (~v113(constB19)) | v112(constB19)),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2643, 2642])).
% 72.32/45.17 tff(2645,plain,
% 72.32/45.17 ((~v113(constB19)) | v112(constB19)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2644, 301, 2641])).
% 72.32/45.17 tff(2646,plain,
% 72.32/45.17 (v112(constB19)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2645, 2637])).
% 72.32/45.17 tff(2647,plain,
% 72.32/45.17 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB19) | (~v112(constB19)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB19) | (~v112(constB19)))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2648,plain,
% 72.32/45.17 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB19) | (~v112(constB19)))),
% 72.32/45.17 inference(quant_inst,[status(thm)],[])).
% 72.32/45.17 tff(2649,plain,
% 72.32/45.17 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB19) | (~v112(constB19))),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2648, 2647])).
% 72.32/45.17 tff(2650,plain,
% 72.32/45.17 (v108(constB19)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2649, 210, 2646])).
% 72.32/45.17 tff(2651,plain,
% 72.32/45.17 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2652,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_19_1')).
% 72.32/45.17 tff(2653,plain,
% 72.32/45.17 (nextState(constB19, constB20)),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2652, 2651])).
% 72.32/45.17 tff(2654,plain,
% 72.32/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2655,plain,
% 72.32/45.17 (((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20)) <=> ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2656,plain,
% 72.32/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19))))),
% 72.32/45.17 inference(monotonicity,[status(thm)],[2655])).
% 72.32/45.17 tff(2657,plain,
% 72.32/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 72.32/45.17 inference(transitivity,[status(thm)],[2656, 2654])).
% 72.32/45.17 tff(2658,plain,
% 72.32/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))),
% 72.32/45.17 inference(quant_inst,[status(thm)],[])).
% 72.32/45.17 tff(2659,plain,
% 72.32/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19))),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2658, 2657])).
% 72.32/45.17 tff(2660,plain,
% 72.32/45.17 (v110(constB20) | (~v108(constB19))),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2659, 317, 2653])).
% 72.32/45.17 tff(2661,plain,
% 72.32/45.17 (v110(constB20)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2660, 2650])).
% 72.32/45.17 tff(2662,plain,
% 72.32/45.17 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2663,plain,
% 72.32/45.17 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))),
% 72.32/45.17 inference(quant_inst,[status(thm)],[])).
% 72.32/45.17 tff(2664,plain,
% 72.32/45.17 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20))),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2663, 2662])).
% 72.32/45.17 tff(2665,plain,
% 72.32/45.17 (~v104(constB20)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2664, 335, 2653, 2531])).
% 72.32/45.17 tff(2666,plain,
% 72.32/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2667,plain,
% 72.32/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))),
% 72.32/45.17 inference(quant_inst,[status(thm)],[])).
% 72.32/45.17 tff(2668,plain,
% 72.32/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v102(constB20) | v104(constB20)),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2667, 2666])).
% 72.32/45.17 tff(2669,plain,
% 72.32/45.17 (v102(constB20) | v104(constB20)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2668, 349, 2653])).
% 72.32/45.17 tff(2670,plain,
% 72.32/45.17 (v102(constB20)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2669, 2665])).
% 72.32/45.17 tff(2671,plain,
% 72.32/45.17 (v1(constB20) <=> v1(constB20)),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2672,axiom,(v1(constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_20_1')).
% 72.32/45.17 tff(2673,plain,
% 72.32/45.17 (v1(constB20)),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2672, 2671])).
% 72.32/45.17 tff(2674,plain,
% 72.32/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2675,plain,
% 72.32/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))),
% 72.32/45.17 inference(quant_inst,[status(thm)],[])).
% 72.32/45.17 tff(2676,plain,
% 72.32/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20))),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2675, 2674])).
% 72.32/45.17 tff(2677,plain,
% 72.32/45.17 (v101(constB20) | (~v102(constB20))),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2676, 367, 2653, 2673])).
% 72.32/45.17 tff(2678,plain,
% 72.32/45.17 (v101(constB20)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2677, 2670])).
% 72.32/45.17 tff(2679,plain,
% 72.32/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2680,plain,
% 72.32/45.17 (((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20)) <=> ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2681,plain,
% 72.32/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20))))),
% 72.32/45.17 inference(monotonicity,[status(thm)],[2680])).
% 72.32/45.17 tff(2682,plain,
% 72.32/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 72.32/45.17 inference(transitivity,[status(thm)],[2681, 2679])).
% 72.32/45.17 tff(2683,plain,
% 72.32/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))),
% 72.32/45.17 inference(quant_inst,[status(thm)],[])).
% 72.32/45.17 tff(2684,plain,
% 72.32/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20))),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2683, 2682])).
% 72.32/45.17 tff(2685,plain,
% 72.32/45.17 (v100(constB20) | (~v101(constB20)) | (~v110(constB20))),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2684, 382, 2653])).
% 72.32/45.17 tff(2686,plain,
% 72.32/45.17 (v100(constB20) | (~v110(constB20))),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2685, 2678])).
% 72.32/45.17 tff(2687,plain,
% 72.32/45.17 (v100(constB20)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2686, 2661])).
% 72.32/45.17 tff(2688,plain,
% 72.32/45.17 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB19)) | v130(constB19, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB19)) | v130(constB19, bitIndex2))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2689,plain,
% 72.32/45.17 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB19)) | v130(constB19, bitIndex2))),
% 72.32/45.17 inference(quant_inst,[status(thm)],[])).
% 72.32/45.17 tff(2690,plain,
% 72.32/45.17 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB19)) | v130(constB19, bitIndex2)),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2689, 2688])).
% 72.32/45.17 tff(2691,plain,
% 72.32/45.17 (v130(constB19, bitIndex2)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2690, 1290, 2621])).
% 72.32/45.17 tff(2692,plain,
% 72.32/45.17 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB19) | (~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB19) | (~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2693,plain,
% 72.32/45.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB19) | (~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2))),
% 72.32/45.17 inference(quant_inst,[status(thm)],[])).
% 72.32/45.17 tff(2694,plain,
% 72.32/45.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB19) | (~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2)),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2693, 2692])).
% 72.32/45.17 tff(2695,plain,
% 72.32/45.17 ((~v130(constB19, bitIndex2)) | v127(constB19, bitIndex2)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2694, 1304, 2641])).
% 72.32/45.17 tff(2696,plain,
% 72.32/45.17 (v127(constB19, bitIndex2)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2695, 2691])).
% 72.32/45.17 tff(2697,plain,
% 72.32/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2698,plain,
% 72.32/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2))),
% 72.32/45.17 inference(quant_inst,[status(thm)],[])).
% 72.32/45.17 tff(2699,plain,
% 72.32/45.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2)),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2698, 2697])).
% 72.32/45.17 tff(2700,plain,
% 72.32/45.17 ((~v127(constB19, bitIndex2)) | v129(constB20, bitIndex2)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2699, 1319, 2653])).
% 72.32/45.17 tff(2701,plain,
% 72.32/45.17 (v129(constB20, bitIndex2)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2700, 2696])).
% 72.32/45.17 tff(2702,plain,
% 72.32/45.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20)))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2703,plain,
% 72.32/45.17 ((v90(constB20, bitIndex2) | (~v100(constB20)) | (~v129(constB20, bitIndex2))) <=> (v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20)))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2704,plain,
% 72.32/45.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~v100(constB20)) | (~v129(constB20, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20))))),
% 72.32/45.17 inference(monotonicity,[status(thm)],[2703])).
% 72.32/45.17 tff(2705,plain,
% 72.32/45.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~v100(constB20)) | (~v129(constB20, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20)))),
% 72.32/45.17 inference(transitivity,[status(thm)],[2704, 2702])).
% 72.32/45.17 tff(2706,plain,
% 72.32/45.17 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~v100(constB20)) | (~v129(constB20, bitIndex2)))),
% 72.32/45.17 inference(quant_inst,[status(thm)],[])).
% 72.32/45.17 tff(2707,plain,
% 72.32/45.17 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2)) | (~v100(constB20))),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2706, 2705])).
% 72.32/45.17 tff(2708,plain,
% 72.32/45.17 (v90(constB20, bitIndex2) | (~v100(constB20))),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2707, 1334, 2701])).
% 72.32/45.17 tff(2709,plain,
% 72.32/45.17 (v90(constB20, bitIndex2)),
% 72.32/45.17 inference(unit_resolution,[status(thm)],[2708, 2687])).
% 72.32/45.17 tff(2710,plain,
% 72.32/45.17 ((~v1(constB21)) <=> (~v1(constB21))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2711,axiom,(~v1(constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_21_1_1')).
% 72.32/45.17 tff(2712,plain,
% 72.32/45.17 (~v1(constB21)),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2711, 2710])).
% 72.32/45.17 tff(2713,plain,
% 72.32/45.17 (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2714,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_20_1')).
% 72.32/45.17 tff(2715,plain,
% 72.32/45.17 (nextState(constB20, constB21)),
% 72.32/45.17 inference(modus_ponens,[status(thm)],[2714, 2713])).
% 72.32/45.17 tff(2716,plain,
% 72.32/45.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 72.32/45.17 inference(rewrite,[status(thm)],[])).
% 72.32/45.17 tff(2717,plain,
% 72.32/45.17 (((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21)) <=> (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2718,plain,
% 72.32/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21))))),
% 72.32/45.18 inference(monotonicity,[status(thm)],[2717])).
% 72.32/45.18 tff(2719,plain,
% 72.32/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 72.32/45.18 inference(transitivity,[status(thm)],[2718, 2716])).
% 72.32/45.18 tff(2720,plain,
% 72.32/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))),
% 72.32/45.18 inference(quant_inst,[status(thm)],[])).
% 72.32/45.18 tff(2721,plain,
% 72.32/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21))),
% 72.32/45.18 inference(modus_ponens,[status(thm)],[2720, 2719])).
% 72.32/45.18 tff(2722,plain,
% 72.32/45.18 (~v101(constB21)),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2721, 56, 2715, 2712])).
% 72.32/45.18 tff(2723,plain,
% 72.32/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2724,plain,
% 72.32/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))),
% 72.32/45.18 inference(quant_inst,[status(thm)],[])).
% 72.32/45.18 tff(2725,plain,
% 72.32/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21))),
% 72.32/45.18 inference(modus_ponens,[status(thm)],[2724, 2723])).
% 72.32/45.18 tff(2726,plain,
% 72.32/45.18 (v101(constB21) | (~v100(constB21))),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2725, 73, 2715])).
% 72.32/45.18 tff(2727,plain,
% 72.32/45.18 (~v100(constB21)),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2726, 2722])).
% 72.32/45.18 tff(2728,plain,
% 72.32/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2))),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2729,plain,
% 72.32/45.18 (((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2)) <=> ((~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2))),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2730,plain,
% 72.32/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2)))),
% 72.32/45.18 inference(monotonicity,[status(thm)],[2729])).
% 72.32/45.18 tff(2731,plain,
% 72.32/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2))),
% 72.32/45.18 inference(transitivity,[status(thm)],[2730, 2728])).
% 72.32/45.18 tff(2732,plain,
% 72.32/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2))),
% 72.32/45.18 inference(quant_inst,[status(thm)],[])).
% 72.32/45.18 tff(2733,plain,
% 72.32/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex2)),
% 72.32/45.18 inference(modus_ponens,[status(thm)],[2732, 2731])).
% 72.32/45.18 tff(2734,plain,
% 72.32/45.18 ((~v90(constB20, bitIndex2)) | v100(constB21) | v90(constB21, bitIndex2)),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2733, 1370, 2715])).
% 72.32/45.18 tff(2735,plain,
% 72.32/45.18 ((~v90(constB20, bitIndex2)) | v90(constB21, bitIndex2)),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2734, 2727])).
% 72.32/45.18 tff(2736,plain,
% 72.32/45.18 (v90(constB21, bitIndex2)),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2735, 2709])).
% 72.32/45.18 tff(2737,plain,
% 72.32/45.18 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB19)) | (~v130(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB19)) | (~v130(constB19, bitIndex1)))),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2738,plain,
% 72.32/45.18 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB19)) | (~v130(constB19, bitIndex1)))),
% 72.32/45.18 inference(quant_inst,[status(thm)],[])).
% 72.32/45.18 tff(2739,plain,
% 72.32/45.18 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB19)) | (~v130(constB19, bitIndex1))),
% 72.32/45.18 inference(modus_ponens,[status(thm)],[2738, 2737])).
% 72.32/45.18 tff(2740,plain,
% 72.32/45.18 (~v130(constB19, bitIndex1)),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2739, 1389, 2621])).
% 72.32/45.18 tff(2741,plain,
% 72.32/45.18 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1))),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2742,plain,
% 72.32/45.18 ((v26(constB19) | v130(constB19, bitIndex1) | (~v127(constB19, bitIndex1))) <=> ((~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1))),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2743,plain,
% 72.32/45.18 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB19) | v130(constB19, bitIndex1) | (~v127(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1)))),
% 72.32/45.18 inference(monotonicity,[status(thm)],[2742])).
% 72.32/45.18 tff(2744,plain,
% 72.32/45.18 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB19) | v130(constB19, bitIndex1) | (~v127(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1))),
% 72.32/45.18 inference(transitivity,[status(thm)],[2743, 2741])).
% 72.32/45.18 tff(2745,plain,
% 72.32/45.18 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB19) | v130(constB19, bitIndex1) | (~v127(constB19, bitIndex1)))),
% 72.32/45.18 inference(quant_inst,[status(thm)],[])).
% 72.32/45.18 tff(2746,plain,
% 72.32/45.18 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB19, bitIndex1)) | v26(constB19) | v130(constB19, bitIndex1)),
% 72.32/45.18 inference(modus_ponens,[status(thm)],[2745, 2744])).
% 72.32/45.18 tff(2747,plain,
% 72.32/45.18 ((~v127(constB19, bitIndex1)) | v130(constB19, bitIndex1)),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2746, 555, 2641])).
% 72.32/45.18 tff(2748,plain,
% 72.32/45.18 (~v127(constB19, bitIndex1)),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2747, 2740])).
% 72.32/45.18 tff(2749,plain,
% 72.32/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex1) | (~v129(constB20, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex1) | (~v129(constB20, bitIndex1)))),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2750,plain,
% 72.32/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex1) | (~v129(constB20, bitIndex1)))),
% 72.32/45.18 inference(quant_inst,[status(thm)],[])).
% 72.32/45.18 tff(2751,plain,
% 72.32/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex1) | (~v129(constB20, bitIndex1))),
% 72.32/45.18 inference(modus_ponens,[status(thm)],[2750, 2749])).
% 72.32/45.18 tff(2752,plain,
% 72.32/45.18 (v127(constB19, bitIndex1) | (~v129(constB20, bitIndex1))),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2751, 588, 2653])).
% 72.32/45.18 tff(2753,plain,
% 72.32/45.18 (~v129(constB20, bitIndex1)),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2752, 2748])).
% 72.32/45.18 tff(2754,plain,
% 72.32/45.18 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1) | (~v100(constB20)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1) | (~v100(constB20)))),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2755,plain,
% 72.32/45.18 (((~v90(constB20, bitIndex1)) | (~v100(constB20)) | v129(constB20, bitIndex1)) <=> ((~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1) | (~v100(constB20)))),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2756,plain,
% 72.32/45.18 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | (~v100(constB20)) | v129(constB20, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1) | (~v100(constB20))))),
% 72.32/45.18 inference(monotonicity,[status(thm)],[2755])).
% 72.32/45.18 tff(2757,plain,
% 72.32/45.18 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | (~v100(constB20)) | v129(constB20, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1) | (~v100(constB20)))),
% 72.32/45.18 inference(transitivity,[status(thm)],[2756, 2754])).
% 72.32/45.18 tff(2758,plain,
% 72.32/45.18 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB20, bitIndex1)) | (~v100(constB20)) | v129(constB20, bitIndex1))),
% 72.32/45.18 inference(quant_inst,[status(thm)],[])).
% 72.32/45.18 tff(2759,plain,
% 72.32/45.18 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1) | (~v100(constB20))),
% 72.32/45.18 inference(modus_ponens,[status(thm)],[2758, 2757])).
% 72.32/45.18 tff(2760,plain,
% 72.32/45.18 ((~v90(constB20, bitIndex1)) | (~v100(constB20))),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2759, 603, 2753])).
% 72.32/45.18 tff(2761,plain,
% 72.32/45.18 (~v90(constB20, bitIndex1)),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2760, 2687])).
% 72.32/45.18 tff(2762,plain,
% 72.32/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex1)))),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2763,plain,
% 72.32/45.18 (((~nextState(constB20, constB21)) | v90(constB20, bitIndex1) | v100(constB21) | (~v90(constB21, bitIndex1))) <=> (v90(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex1)))),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2764,plain,
% 72.32/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex1) | v100(constB21) | (~v90(constB21, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex1))))),
% 72.32/45.18 inference(monotonicity,[status(thm)],[2763])).
% 72.32/45.18 tff(2765,plain,
% 72.32/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex1) | v100(constB21) | (~v90(constB21, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex1)))),
% 72.32/45.18 inference(transitivity,[status(thm)],[2764, 2762])).
% 72.32/45.18 tff(2766,plain,
% 72.32/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex1) | v100(constB21) | (~v90(constB21, bitIndex1)))),
% 72.32/45.18 inference(quant_inst,[status(thm)],[])).
% 72.32/45.18 tff(2767,plain,
% 72.32/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex1))),
% 72.32/45.18 inference(modus_ponens,[status(thm)],[2766, 2765])).
% 72.32/45.18 tff(2768,plain,
% 72.32/45.18 (v90(constB20, bitIndex1) | v100(constB21) | (~v90(constB21, bitIndex1))),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2767, 109, 2715])).
% 72.32/45.18 tff(2769,plain,
% 72.32/45.18 (v90(constB20, bitIndex1) | (~v90(constB21, bitIndex1))),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2768, 2727])).
% 72.32/45.18 tff(2770,plain,
% 72.32/45.18 (~v90(constB21, bitIndex1)),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2769, 2761])).
% 72.32/45.18 tff(2771,plain,
% 72.32/45.18 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB19)) | (~v130(constB19, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB19)) | (~v130(constB19, bitIndex0)))),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2772,plain,
% 72.32/45.18 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB19)) | (~v130(constB19, bitIndex0)))),
% 72.32/45.18 inference(quant_inst,[status(thm)],[])).
% 72.32/45.18 tff(2773,plain,
% 72.32/45.18 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB19)) | (~v130(constB19, bitIndex0))),
% 72.32/45.18 inference(modus_ponens,[status(thm)],[2772, 2771])).
% 72.32/45.18 tff(2774,plain,
% 72.32/45.18 (~v130(constB19, bitIndex0)),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2773, 1433, 2621])).
% 72.32/45.18 tff(2775,plain,
% 72.32/45.18 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0))),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2776,plain,
% 72.32/45.18 ((v26(constB19) | v130(constB19, bitIndex0) | (~v127(constB19, bitIndex0))) <=> ((~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0))),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2777,plain,
% 72.32/45.18 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB19) | v130(constB19, bitIndex0) | (~v127(constB19, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0)))),
% 72.32/45.18 inference(monotonicity,[status(thm)],[2776])).
% 72.32/45.18 tff(2778,plain,
% 72.32/45.18 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB19) | v130(constB19, bitIndex0) | (~v127(constB19, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0))),
% 72.32/45.18 inference(transitivity,[status(thm)],[2777, 2775])).
% 72.32/45.18 tff(2779,plain,
% 72.32/45.18 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB19) | v130(constB19, bitIndex0) | (~v127(constB19, bitIndex0)))),
% 72.32/45.18 inference(quant_inst,[status(thm)],[])).
% 72.32/45.18 tff(2780,plain,
% 72.32/45.18 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB19, bitIndex0)) | v26(constB19) | v130(constB19, bitIndex0)),
% 72.32/45.18 inference(modus_ponens,[status(thm)],[2779, 2778])).
% 72.32/45.18 tff(2781,plain,
% 72.32/45.18 ((~v127(constB19, bitIndex0)) | v130(constB19, bitIndex0)),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2780, 905, 2641])).
% 72.32/45.18 tff(2782,plain,
% 72.32/45.18 (~v127(constB19, bitIndex0)),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2781, 2774])).
% 72.32/45.18 tff(2783,plain,
% 72.32/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0)))),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2784,plain,
% 72.32/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0)))),
% 72.32/45.18 inference(quant_inst,[status(thm)],[])).
% 72.32/45.18 tff(2785,plain,
% 72.32/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0))),
% 72.32/45.18 inference(modus_ponens,[status(thm)],[2784, 2783])).
% 72.32/45.18 tff(2786,plain,
% 72.32/45.18 (v127(constB19, bitIndex0) | (~v129(constB20, bitIndex0))),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2785, 923, 2653])).
% 72.32/45.18 tff(2787,plain,
% 72.32/45.18 (~v129(constB20, bitIndex0)),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2786, 2782])).
% 72.32/45.18 tff(2788,plain,
% 72.32/45.18 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20)))),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2789,plain,
% 72.32/45.18 (((~v90(constB20, bitIndex0)) | (~v100(constB20)) | v129(constB20, bitIndex0)) <=> ((~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20)))),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2790,plain,
% 72.32/45.18 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | (~v100(constB20)) | v129(constB20, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20))))),
% 72.32/45.18 inference(monotonicity,[status(thm)],[2789])).
% 72.32/45.18 tff(2791,plain,
% 72.32/45.18 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | (~v100(constB20)) | v129(constB20, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20)))),
% 72.32/45.18 inference(transitivity,[status(thm)],[2790, 2788])).
% 72.32/45.18 tff(2792,plain,
% 72.32/45.18 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB20, bitIndex0)) | (~v100(constB20)) | v129(constB20, bitIndex0))),
% 72.32/45.18 inference(quant_inst,[status(thm)],[])).
% 72.32/45.18 tff(2793,plain,
% 72.32/45.18 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0) | (~v100(constB20))),
% 72.32/45.18 inference(modus_ponens,[status(thm)],[2792, 2791])).
% 72.32/45.18 tff(2794,plain,
% 72.32/45.18 ((~v90(constB20, bitIndex0)) | (~v100(constB20))),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2793, 938, 2787])).
% 72.32/45.18 tff(2795,plain,
% 72.32/45.18 (~v90(constB20, bitIndex0)),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2794, 2687])).
% 72.32/45.18 tff(2796,plain,
% 72.32/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0)))),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2797,plain,
% 72.32/45.18 (((~nextState(constB20, constB21)) | v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0))) <=> (v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0)))),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2798,plain,
% 72.32/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0))))),
% 72.32/45.18 inference(monotonicity,[status(thm)],[2797])).
% 72.32/45.18 tff(2799,plain,
% 72.32/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0)))),
% 72.32/45.18 inference(transitivity,[status(thm)],[2798, 2796])).
% 72.32/45.18 tff(2800,plain,
% 72.32/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0)))),
% 72.32/45.18 inference(quant_inst,[status(thm)],[])).
% 72.32/45.18 tff(2801,plain,
% 72.32/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex0))),
% 72.32/45.18 inference(modus_ponens,[status(thm)],[2800, 2799])).
% 72.32/45.18 tff(2802,plain,
% 72.32/45.18 (v90(constB20, bitIndex0) | v100(constB21) | (~v90(constB21, bitIndex0))),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2801, 130, 2715])).
% 72.32/45.18 tff(2803,plain,
% 72.32/45.18 (v90(constB20, bitIndex0) | (~v90(constB21, bitIndex0))),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2802, 2727])).
% 72.32/45.18 tff(2804,plain,
% 72.32/45.18 (~v90(constB21, bitIndex0)),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2803, 2795])).
% 72.32/45.18 tff(2805,plain,
% 72.32/45.18 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)) | v123(constB21))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)) | v123(constB21))),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2806,plain,
% 72.32/45.18 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)) | v123(constB21))),
% 72.32/45.18 inference(quant_inst,[status(thm)],[])).
% 72.32/45.18 tff(2807,plain,
% 72.32/45.18 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)) | v123(constB21)),
% 72.32/45.18 inference(modus_ponens,[status(thm)],[2806, 2805])).
% 72.32/45.18 tff(2808,plain,
% 72.32/45.18 (v123(constB21)),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2807, 1477, 2804, 2770, 2736])).
% 72.32/45.18 tff(2809,plain,
% 72.32/45.18 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB21)) | (~v130(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB21)) | (~v130(constB21, bitIndex1)))),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2810,plain,
% 72.32/45.18 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB21)) | (~v130(constB21, bitIndex1)))),
% 72.32/45.18 inference(quant_inst,[status(thm)],[])).
% 72.32/45.18 tff(2811,plain,
% 72.32/45.18 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB21)) | (~v130(constB21, bitIndex1))),
% 72.32/45.18 inference(modus_ponens,[status(thm)],[2810, 2809])).
% 72.32/45.18 tff(2812,plain,
% 72.32/45.18 (~v130(constB21, bitIndex1)),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2811, 1622, 2808])).
% 72.32/45.18 tff(2813,assumption,(v26(constB21)), introduced(assumption)).
% 72.32/45.18 tff(2814,plain,
% 72.32/45.18 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB21))),
% 72.32/45.18 inference(quant_inst,[status(thm)],[])).
% 72.32/45.18 tff(2815,plain,
% 72.32/45.18 ($false),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2814, 37, 2813])).
% 72.32/45.18 tff(2816,plain,(~v26(constB21)), inference(lemma,lemma(discharge,[]))).
% 72.32/45.18 tff(2817,plain,
% 72.32/45.18 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2818,plain,
% 72.32/45.18 ((v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1))) <=> ((~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2819,plain,
% 72.32/45.18 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1)))),
% 72.32/45.18 inference(monotonicity,[status(thm)],[2818])).
% 72.32/45.18 tff(2820,plain,
% 72.32/45.18 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))),
% 72.32/45.18 inference(transitivity,[status(thm)],[2819, 2817])).
% 72.32/45.18 tff(2821,plain,
% 72.32/45.18 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1)))),
% 72.32/45.18 inference(quant_inst,[status(thm)],[])).
% 72.32/45.18 tff(2822,plain,
% 72.32/45.18 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1)),
% 72.32/45.18 inference(modus_ponens,[status(thm)],[2821, 2820])).
% 72.32/45.18 tff(2823,plain,
% 72.32/45.18 ((~v127(constB21, bitIndex1)) | v130(constB21, bitIndex1)),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2822, 555, 2816])).
% 72.32/45.18 tff(2824,plain,
% 72.32/45.18 (~v127(constB21, bitIndex1)),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2823, 2812])).
% 72.32/45.18 tff(2825,plain,
% 72.32/45.18 (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2826,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_21_1')).
% 72.32/45.18 tff(2827,plain,
% 72.32/45.18 (nextState(constB21, constB22)),
% 72.32/45.18 inference(modus_ponens,[status(thm)],[2826, 2825])).
% 72.32/45.18 tff(2828,plain,
% 72.32/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1)))),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2829,plain,
% 72.32/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1)))),
% 72.32/45.18 inference(quant_inst,[status(thm)],[])).
% 72.32/45.18 tff(2830,plain,
% 72.32/45.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1))),
% 72.32/45.18 inference(modus_ponens,[status(thm)],[2829, 2828])).
% 72.32/45.18 tff(2831,plain,
% 72.32/45.18 (v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1))),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2830, 588, 2827])).
% 72.32/45.18 tff(2832,plain,
% 72.32/45.18 (~v129(constB22, bitIndex1)),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2831, 2824])).
% 72.32/45.18 tff(2833,assumption,(~v100(constB22)), introduced(assumption)).
% 72.32/45.18 tff(2834,plain,
% 72.32/45.18 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))),
% 72.32/45.18 inference(rewrite,[status(thm)],[])).
% 72.32/45.18 tff(2835,plain,
% 72.32/45.18 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))),
% 72.32/45.18 inference(quant_inst,[status(thm)],[])).
% 72.32/45.18 tff(2836,plain,
% 72.32/45.18 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22))),
% 72.32/45.18 inference(modus_ponens,[status(thm)],[2835, 2834])).
% 72.32/45.18 tff(2837,plain,
% 72.32/45.18 (~v104(constB22)),
% 72.32/45.18 inference(unit_resolution,[status(thm)],[2836, 335, 2827, 2712])).
% 72.32/45.18 tff(2838,plain,
% 72.32/45.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2839,plain,
% 72.32/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(2840,plain,
% 72.32/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v102(constB22) | v104(constB22)),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[2839, 2838])).
% 72.32/45.19 tff(2841,plain,
% 72.32/45.19 (v102(constB22) | v104(constB22)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2840, 349, 2827])).
% 72.32/45.19 tff(2842,plain,
% 72.32/45.19 (v102(constB22)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2841, 2837])).
% 72.32/45.19 tff(2843,plain,
% 72.32/45.19 (v1(constB22) <=> v1(constB22)),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2844,axiom,(v1(constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_22_1')).
% 72.32/45.19 tff(2845,plain,
% 72.32/45.19 (v1(constB22)),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[2844, 2843])).
% 72.32/45.19 tff(2846,plain,
% 72.32/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2847,plain,
% 72.32/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(2848,plain,
% 72.32/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22))),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[2847, 2846])).
% 72.32/45.19 tff(2849,plain,
% 72.32/45.19 (v101(constB22) | (~v102(constB22))),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2848, 367, 2827, 2845])).
% 72.32/45.19 tff(2850,plain,
% 72.32/45.19 (v101(constB22)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2849, 2842])).
% 72.32/45.19 tff(2851,plain,
% 72.32/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2852,plain,
% 72.32/45.19 (((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22)) <=> ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2853,plain,
% 72.32/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22))))),
% 72.32/45.19 inference(monotonicity,[status(thm)],[2852])).
% 72.32/45.19 tff(2854,plain,
% 72.32/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 72.32/45.19 inference(transitivity,[status(thm)],[2853, 2851])).
% 72.32/45.19 tff(2855,plain,
% 72.32/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(2856,plain,
% 72.32/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22))),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[2855, 2854])).
% 72.32/45.19 tff(2857,plain,
% 72.32/45.19 (v100(constB22) | (~v101(constB22)) | (~v110(constB22))),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2856, 382, 2827])).
% 72.32/45.19 tff(2858,plain,
% 72.32/45.19 (v100(constB22) | (~v110(constB22))),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2857, 2850])).
% 72.32/45.19 tff(2859,plain,
% 72.32/45.19 (~v110(constB22)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2858, 2833])).
% 72.32/45.19 tff(2860,plain,
% 72.32/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2861,plain,
% 72.32/45.19 (((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22)) <=> ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2862,plain,
% 72.32/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21))))),
% 72.32/45.19 inference(monotonicity,[status(thm)],[2861])).
% 72.32/45.19 tff(2863,plain,
% 72.32/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 72.32/45.19 inference(transitivity,[status(thm)],[2862, 2860])).
% 72.32/45.19 tff(2864,plain,
% 72.32/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(2865,plain,
% 72.32/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21))),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[2864, 2863])).
% 72.32/45.19 tff(2866,plain,
% 72.32/45.19 (v110(constB22) | (~v108(constB21))),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2865, 317, 2827])).
% 72.32/45.19 tff(2867,plain,
% 72.32/45.19 (~v108(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2866, 2859])).
% 72.32/45.19 tff(2868,assumption,(~v90(constB22, bitIndex0)), introduced(assumption)).
% 72.32/45.19 tff(2869,plain,
% 72.32/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB21, bitIndex0)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB21, bitIndex0)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, bitIndex0))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2870,plain,
% 72.32/45.19 (((~nextState(constB21, constB22)) | (~v90(constB21, bitIndex0)) | v100(constB22) | v90(constB22, bitIndex0)) <=> ((~v90(constB21, bitIndex0)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, bitIndex0))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2871,plain,
% 72.32/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v90(constB21, bitIndex0)) | v100(constB22) | v90(constB22, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB21, bitIndex0)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, bitIndex0)))),
% 72.32/45.19 inference(monotonicity,[status(thm)],[2870])).
% 72.32/45.19 tff(2872,plain,
% 72.32/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v90(constB21, bitIndex0)) | v100(constB22) | v90(constB22, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB21, bitIndex0)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, bitIndex0))),
% 72.32/45.19 inference(transitivity,[status(thm)],[2871, 2869])).
% 72.32/45.19 tff(2873,plain,
% 72.32/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v90(constB21, bitIndex0)) | v100(constB22) | v90(constB22, bitIndex0))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(2874,plain,
% 72.32/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB21, bitIndex0)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, bitIndex0)),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[2873, 2872])).
% 72.32/45.19 tff(2875,plain,
% 72.32/45.19 ((~v90(constB21, bitIndex0)) | v100(constB22) | v90(constB22, bitIndex0)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2874, 437, 2827])).
% 72.32/45.19 tff(2876,plain,
% 72.32/45.19 (~v90(constB21, bitIndex0)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2875, 2833, 2868])).
% 72.32/45.19 tff(2877,assumption,(~v113(constB21)), introduced(assumption)).
% 72.32/45.19 tff(2878,plain,
% 72.32/45.19 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB21) | (~v114(constB21)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB21) | (~v114(constB21)))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2879,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB21) | (~v114(constB21)))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(2880,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB21) | (~v114(constB21))),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[2879, 2878])).
% 72.32/45.19 tff(2881,plain,
% 72.32/45.19 (~v114(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2880, 287, 2877])).
% 72.32/45.19 tff(2882,plain,
% 72.32/45.19 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB21) | (~v115(constB21)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB21) | (~v115(constB21)))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2883,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB21) | (~v115(constB21)))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(2884,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB21) | (~v115(constB21))),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[2883, 2882])).
% 72.32/45.19 tff(2885,plain,
% 72.32/45.19 (~v115(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2884, 276, 2881])).
% 72.32/45.19 tff(2886,plain,
% 72.32/45.19 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB21) | (~v116(constB21)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB21) | (~v116(constB21)))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2887,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB21) | (~v116(constB21)))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(2888,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB21) | (~v116(constB21))),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[2887, 2886])).
% 72.32/45.19 tff(2889,plain,
% 72.32/45.19 (~v116(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2888, 265, 2885])).
% 72.32/45.19 tff(2890,plain,
% 72.32/45.19 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB21) | (~v117(constB21)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB21) | (~v117(constB21)))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2891,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB21) | (~v117(constB21)))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(2892,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB21) | (~v117(constB21))),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[2891, 2890])).
% 72.32/45.19 tff(2893,plain,
% 72.32/45.19 (~v117(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2892, 254, 2889])).
% 72.32/45.19 tff(2894,plain,
% 72.32/45.19 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB21) | (~v121(constB21)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB21) | (~v121(constB21)))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2895,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB21) | (~v121(constB21)))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(2896,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB21) | (~v121(constB21))),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[2895, 2894])).
% 72.32/45.19 tff(2897,plain,
% 72.32/45.19 (~v121(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2896, 976, 2893])).
% 72.32/45.19 tff(2898,plain,
% 72.32/45.19 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB21) | (~v123(constB21)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB21) | (~v123(constB21)))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2899,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB21) | (~v123(constB21)))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(2900,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB21) | (~v123(constB21))),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[2899, 2898])).
% 72.32/45.19 tff(2901,plain,
% 72.32/45.19 (~v123(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2900, 1488, 2885])).
% 72.32/45.19 tff(2902,assumption,(~v90(constB21, bitIndex0)), introduced(assumption)).
% 72.32/45.19 tff(2903,plain,
% 72.32/45.19 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB21) | (~v118(constB21)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB21) | (~v118(constB21)))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2904,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB21) | (~v118(constB21)))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(2905,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB21) | (~v118(constB21))),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[2904, 2903])).
% 72.32/45.19 tff(2906,plain,
% 72.32/45.19 (~v118(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2905, 243, 2893])).
% 72.32/45.19 tff(2907,plain,
% 72.32/45.19 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB21) | (~v119(constB21)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB21) | (~v119(constB21)))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2908,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB21) | (~v119(constB21)))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(2909,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB21) | (~v119(constB21))),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[2908, 2907])).
% 72.32/45.19 tff(2910,plain,
% 72.32/45.19 (~v119(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2909, 232, 2906])).
% 72.32/45.19 tff(2911,assumption,(~v119(constB21)), introduced(assumption)).
% 72.32/45.19 tff(2912,assumption,(~v90(constB21, bitIndex1)), introduced(assumption)).
% 72.32/45.19 tff(2913,assumption,(~v123(constB21)), introduced(assumption)).
% 72.32/45.19 tff(2914,plain,
% 72.32/45.19 (v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)) | v123(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2807, 1477, 2902])).
% 72.32/45.19 tff(2915,plain,
% 72.32/45.19 (~v90(constB21, bitIndex2)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2914, 2912, 2913])).
% 72.32/45.19 tff(2916,plain,
% 72.32/45.19 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB21) | v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | v90(constB21, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB21) | v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | v90(constB21, bitIndex2))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2917,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB21) | v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | v90(constB21, bitIndex2))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(2918,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB21) | v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | v90(constB21, bitIndex2)),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[2917, 2916])).
% 72.32/45.19 tff(2919,plain,
% 72.32/45.19 (v119(constB21) | v90(constB21, bitIndex1) | v90(constB21, bitIndex2)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2918, 151, 2902])).
% 72.32/45.19 tff(2920,plain,
% 72.32/45.19 ($false),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2919, 2915, 2912, 2911])).
% 72.32/45.19 tff(2921,plain,(v90(constB21, bitIndex1) | v119(constB21) | v90(constB21, bitIndex0) | v123(constB21)), inference(lemma,lemma(discharge,[]))).
% 72.32/45.19 tff(2922,plain,
% 72.32/45.19 (v90(constB21, bitIndex1)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2921, 2910, 2902, 2901])).
% 72.32/45.19 tff(2923,plain,
% 72.32/45.19 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB21) | (~v125(constB21)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB21) | (~v125(constB21)))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2924,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB21) | (~v125(constB21)))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(2925,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB21) | (~v125(constB21))),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[2924, 2923])).
% 72.32/45.19 tff(2926,plain,
% 72.32/45.19 (~v125(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2925, 2047, 2877])).
% 72.32/45.19 tff(2927,plain,
% 72.32/45.19 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB21, bitIndex0) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex2)) | v125(constB21))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB21, bitIndex0) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex2)) | v125(constB21))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2928,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB21, bitIndex0) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex2)) | v125(constB21))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(2929,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB21, bitIndex0) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex2)) | v125(constB21)),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[2928, 2927])).
% 72.32/45.19 tff(2930,plain,
% 72.32/45.19 ((~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex2)) | v125(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2929, 2036, 2902])).
% 72.32/45.19 tff(2931,plain,
% 72.32/45.19 (~v90(constB21, bitIndex2)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2930, 2922, 2926])).
% 72.32/45.19 tff(2932,plain,
% 72.32/45.19 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB21, bitIndex0) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v121(constB21))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB21, bitIndex0) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v121(constB21))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2933,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB21, bitIndex0) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v121(constB21))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(2934,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB21, bitIndex0) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v121(constB21)),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[2933, 2932])).
% 72.32/45.19 tff(2935,plain,
% 72.32/45.19 ((~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v121(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2934, 965, 2902])).
% 72.32/45.19 tff(2936,plain,
% 72.32/45.19 ($false),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2935, 2931, 2922, 2897])).
% 72.32/45.19 tff(2937,plain,(v113(constB21) | v90(constB21, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.32/45.19 tff(2938,plain,
% 72.32/45.19 (v113(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2937, 2876])).
% 72.32/45.19 tff(2939,assumption,(~v108(constB21)), introduced(assumption)).
% 72.32/45.19 tff(2940,plain,
% 72.32/45.19 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB21) | (~v112(constB21)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB21) | (~v112(constB21)))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2941,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB21) | (~v112(constB21)))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(2942,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB21) | (~v112(constB21))),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[2941, 2940])).
% 72.32/45.19 tff(2943,plain,
% 72.32/45.19 (~v112(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2942, 210, 2939])).
% 72.32/45.19 tff(2944,plain,
% 72.32/45.19 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB21) | (~v26(constB21)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB21) | (~v26(constB21)))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2945,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB21) | (~v26(constB21)))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(2946,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB21) | (~v26(constB21))),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[2945, 2944])).
% 72.32/45.19 tff(2947,plain,
% 72.32/45.19 (~v26(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2946, 221, 2939])).
% 72.32/45.19 tff(2948,assumption,(v113(constB21)), introduced(assumption)).
% 72.32/45.19 tff(2949,plain,
% 72.32/45.19 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | (~v113(constB21)) | v112(constB21))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2950,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(2951,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | (~v113(constB21)) | v112(constB21)),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[2950, 2949])).
% 72.32/45.19 tff(2952,plain,
% 72.32/45.19 (v26(constB21) | v112(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2951, 301, 2948])).
% 72.32/45.19 tff(2953,plain,
% 72.32/45.19 ($false),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2952, 2947, 2943])).
% 72.32/45.19 tff(2954,plain,(v108(constB21) | (~v113(constB21))), inference(lemma,lemma(discharge,[]))).
% 72.32/45.19 tff(2955,plain,
% 72.32/45.19 ($false),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2954, 2938, 2867])).
% 72.32/45.19 tff(2956,plain,(v100(constB22) | v90(constB22, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.32/45.19 tff(2957,plain,
% 72.32/45.19 (v90(constB22, bitIndex0)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2956, 2833])).
% 72.32/45.19 tff(2958,plain,
% 72.32/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex0)))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2959,plain,
% 72.32/45.19 (((~nextState(constB21, constB22)) | v90(constB21, bitIndex0) | v100(constB22) | (~v90(constB22, bitIndex0))) <=> (v90(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex0)))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2960,plain,
% 72.32/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v90(constB21, bitIndex0) | v100(constB22) | (~v90(constB22, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex0))))),
% 72.32/45.19 inference(monotonicity,[status(thm)],[2959])).
% 72.32/45.19 tff(2961,plain,
% 72.32/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v90(constB21, bitIndex0) | v100(constB22) | (~v90(constB22, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex0)))),
% 72.32/45.19 inference(transitivity,[status(thm)],[2960, 2958])).
% 72.32/45.19 tff(2962,plain,
% 72.32/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v90(constB21, bitIndex0) | v100(constB22) | (~v90(constB22, bitIndex0)))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(2963,plain,
% 72.32/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex0))),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[2962, 2961])).
% 72.32/45.19 tff(2964,plain,
% 72.32/45.19 (v90(constB21, bitIndex0) | v100(constB22) | (~v90(constB22, bitIndex0))),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2963, 130, 2827])).
% 72.32/45.19 tff(2965,plain,
% 72.32/45.19 (v90(constB21, bitIndex0)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2964, 2957, 2833])).
% 72.32/45.19 tff(2966,plain,
% 72.32/45.19 (v90(constB20, bitIndex0)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2803, 2965])).
% 72.32/45.19 tff(2967,plain,
% 72.32/45.19 (~v113(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2954, 2867])).
% 72.32/45.19 tff(2968,plain,
% 72.32/45.19 (~v114(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2880, 287, 2967])).
% 72.32/45.19 tff(2969,plain,
% 72.32/45.19 (~v115(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2884, 276, 2968])).
% 72.32/45.19 tff(2970,plain,
% 72.32/45.19 (~v116(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2888, 265, 2969])).
% 72.32/45.19 tff(2971,plain,
% 72.32/45.19 (~v117(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2892, 254, 2970])).
% 72.32/45.19 tff(2972,plain,
% 72.32/45.19 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB21) | (~v124(constB21)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB21) | (~v124(constB21)))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2973,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB21) | (~v124(constB21)))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(2974,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB21) | (~v124(constB21))),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[2973, 2972])).
% 72.32/45.19 tff(2975,plain,
% 72.32/45.19 (~v124(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2974, 1718, 2968])).
% 72.32/45.19 tff(2976,assumption,(~v90(constB22, bitIndex1)), introduced(assumption)).
% 72.32/45.19 tff(2977,plain,
% 72.32/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB21, bitIndex1)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB21, bitIndex1)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, bitIndex1))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2978,plain,
% 72.32/45.19 (((~nextState(constB21, constB22)) | (~v90(constB21, bitIndex1)) | v100(constB22) | v90(constB22, bitIndex1)) <=> ((~v90(constB21, bitIndex1)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, bitIndex1))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2979,plain,
% 72.32/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB21, constB22)) | (~v90(constB21, bitIndex1)) | v100(constB22) | v90(constB22, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB21, bitIndex1)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, bitIndex1)))),
% 72.32/45.19 inference(monotonicity,[status(thm)],[2978])).
% 72.32/45.19 tff(2980,plain,
% 72.32/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB21, constB22)) | (~v90(constB21, bitIndex1)) | v100(constB22) | v90(constB22, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB21, bitIndex1)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, bitIndex1))),
% 72.32/45.19 inference(transitivity,[status(thm)],[2979, 2977])).
% 72.32/45.19 tff(2981,plain,
% 72.32/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB21, constB22)) | (~v90(constB21, bitIndex1)) | v100(constB22) | v90(constB22, bitIndex1))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(2982,plain,
% 72.32/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB21, bitIndex1)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, bitIndex1)),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[2981, 2980])).
% 72.32/45.19 tff(2983,plain,
% 72.32/45.19 ((~v90(constB21, bitIndex1)) | v100(constB22) | v90(constB22, bitIndex1)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2982, 872, 2827])).
% 72.32/45.19 tff(2984,plain,
% 72.32/45.19 (~v90(constB21, bitIndex1)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2983, 2833, 2976])).
% 72.32/45.19 tff(2985,plain,
% 72.32/45.19 (v90(constB21, bitIndex0)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2937, 2967])).
% 72.32/45.19 tff(2986,plain,
% 72.32/45.19 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB21, bitIndex0)) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)) | v124(constB21))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB21, bitIndex0)) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)) | v124(constB21))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2987,plain,
% 72.32/45.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB21, bitIndex0)) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)) | v124(constB21))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(2988,plain,
% 72.32/45.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB21, bitIndex0)) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)) | v124(constB21)),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[2987, 2986])).
% 72.32/45.19 tff(2989,plain,
% 72.32/45.19 ((~v90(constB21, bitIndex2)) | v124(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2988, 1707, 2985, 2984])).
% 72.32/45.19 tff(2990,plain,
% 72.32/45.19 (~v90(constB21, bitIndex2)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2989, 2975])).
% 72.32/45.19 tff(2991,plain,
% 72.32/45.19 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB21, bitIndex0)) | v90(constB21, bitIndex1) | v90(constB21, bitIndex2) | v120(constB21))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB21, bitIndex0)) | v90(constB21, bitIndex1) | v90(constB21, bitIndex2) | v120(constB21))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2992,plain,
% 72.32/45.19 (((~v90(constB21, bitIndex0)) | v120(constB21) | v90(constB21, bitIndex1) | v90(constB21, bitIndex2)) <=> ((~v90(constB21, bitIndex0)) | v90(constB21, bitIndex1) | v90(constB21, bitIndex2) | v120(constB21))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(2993,plain,
% 72.32/45.19 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB21, bitIndex0)) | v120(constB21) | v90(constB21, bitIndex1) | v90(constB21, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB21, bitIndex0)) | v90(constB21, bitIndex1) | v90(constB21, bitIndex2) | v120(constB21)))),
% 72.32/45.19 inference(monotonicity,[status(thm)],[2992])).
% 72.32/45.19 tff(2994,plain,
% 72.32/45.19 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB21, bitIndex0)) | v120(constB21) | v90(constB21, bitIndex1) | v90(constB21, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB21, bitIndex0)) | v90(constB21, bitIndex1) | v90(constB21, bitIndex2) | v120(constB21))),
% 72.32/45.19 inference(transitivity,[status(thm)],[2993, 2991])).
% 72.32/45.19 tff(2995,plain,
% 72.32/45.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB21, bitIndex0)) | v120(constB21) | v90(constB21, bitIndex1) | v90(constB21, bitIndex2))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(2996,plain,
% 72.32/45.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB21, bitIndex0)) | v90(constB21, bitIndex1) | v90(constB21, bitIndex2) | v120(constB21)),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[2995, 2994])).
% 72.32/45.19 tff(2997,plain,
% 72.32/45.19 (v90(constB21, bitIndex2) | v120(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2996, 631, 2985, 2984])).
% 72.32/45.19 tff(2998,plain,
% 72.32/45.19 (v120(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2997, 2990])).
% 72.32/45.19 tff(2999,plain,
% 72.32/45.19 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB21) | (~v120(constB21)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB21) | (~v120(constB21)))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(3000,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB21) | (~v120(constB21)))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(3001,plain,
% 72.32/45.19 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB21) | (~v120(constB21))),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[3000, 2999])).
% 72.32/45.19 tff(3002,plain,
% 72.32/45.19 (v118(constB21)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[3001, 646, 2998])).
% 72.32/45.19 tff(3003,plain,
% 72.32/45.19 ($false),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[2905, 243, 3002, 2971])).
% 72.32/45.19 tff(3004,plain,(v100(constB22) | v90(constB22, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.32/45.19 tff(3005,plain,
% 72.32/45.19 (v90(constB22, bitIndex1)),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[3004, 2833])).
% 72.32/45.19 tff(3006,plain,
% 72.32/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB21, bitIndex1) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB21, bitIndex1) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex1)))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(3007,plain,
% 72.32/45.19 (((~nextState(constB21, constB22)) | v90(constB21, bitIndex1) | v100(constB22) | (~v90(constB22, bitIndex1))) <=> (v90(constB21, bitIndex1) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex1)))),
% 72.32/45.19 inference(rewrite,[status(thm)],[])).
% 72.32/45.19 tff(3008,plain,
% 72.32/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v90(constB21, bitIndex1) | v100(constB22) | (~v90(constB22, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB21, bitIndex1) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex1))))),
% 72.32/45.19 inference(monotonicity,[status(thm)],[3007])).
% 72.32/45.19 tff(3009,plain,
% 72.32/45.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v90(constB21, bitIndex1) | v100(constB22) | (~v90(constB22, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB21, bitIndex1) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex1)))),
% 72.32/45.19 inference(transitivity,[status(thm)],[3008, 3006])).
% 72.32/45.19 tff(3010,plain,
% 72.32/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v90(constB21, bitIndex1) | v100(constB22) | (~v90(constB22, bitIndex1)))),
% 72.32/45.19 inference(quant_inst,[status(thm)],[])).
% 72.32/45.19 tff(3011,plain,
% 72.32/45.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB21, bitIndex1) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, bitIndex1))),
% 72.32/45.19 inference(modus_ponens,[status(thm)],[3010, 3009])).
% 72.32/45.19 tff(3012,plain,
% 72.32/45.19 (v90(constB21, bitIndex1) | v100(constB22) | (~v90(constB22, bitIndex1))),
% 72.32/45.19 inference(unit_resolution,[status(thm)],[3011, 109, 2827])).
% 72.32/45.20 tff(3013,plain,
% 72.32/45.20 (v90(constB21, bitIndex1)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3012, 2833, 3005])).
% 72.32/45.20 tff(3014,plain,
% 72.32/45.20 (v90(constB20, bitIndex1)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[2769, 3013])).
% 72.32/45.20 tff(3015,plain,
% 72.32/45.20 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB21) | (~v122(constB21)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB21) | (~v122(constB21)))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3016,plain,
% 72.32/45.20 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB21) | (~v122(constB21)))),
% 72.32/45.20 inference(quant_inst,[status(thm)],[])).
% 72.32/45.20 tff(3017,plain,
% 72.32/45.20 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB21) | (~v122(constB21))),
% 72.32/45.20 inference(modus_ponens,[status(thm)],[3016, 3015])).
% 72.32/45.20 tff(3018,plain,
% 72.32/45.20 (~v122(constB21)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3017, 1214, 2970])).
% 72.32/45.20 tff(3019,plain,
% 72.32/45.20 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v122(constB21))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v122(constB21))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3020,plain,
% 72.32/45.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v122(constB21))),
% 72.32/45.20 inference(quant_inst,[status(thm)],[])).
% 72.32/45.20 tff(3021,plain,
% 72.32/45.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v122(constB21)),
% 72.32/45.20 inference(modus_ponens,[status(thm)],[3020, 3019])).
% 72.32/45.20 tff(3022,plain,
% 72.32/45.20 (v90(constB21, bitIndex2) | v122(constB21)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3021, 1203, 2965, 3013])).
% 72.32/45.20 tff(3023,plain,
% 72.32/45.20 (v90(constB21, bitIndex2)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3022, 3018])).
% 72.32/45.20 tff(3024,plain,
% 72.32/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2)))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3025,plain,
% 72.32/45.20 (((~nextState(constB20, constB21)) | v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2))) <=> (v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2)))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3026,plain,
% 72.32/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2))))),
% 72.32/45.20 inference(monotonicity,[status(thm)],[3025])).
% 72.32/45.20 tff(3027,plain,
% 72.32/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2)))),
% 72.32/45.20 inference(transitivity,[status(thm)],[3026, 3024])).
% 72.32/45.20 tff(3028,plain,
% 72.32/45.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB20, constB21)) | v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2)))),
% 72.32/45.20 inference(quant_inst,[status(thm)],[])).
% 72.32/45.20 tff(3029,plain,
% 72.32/45.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2))),
% 72.32/45.20 inference(modus_ponens,[status(thm)],[3028, 3027])).
% 72.32/45.20 tff(3030,plain,
% 72.32/45.20 (v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2))),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3029, 88, 2715])).
% 72.32/45.20 tff(3031,plain,
% 72.32/45.20 (v90(constB20, bitIndex2) | (~v90(constB21, bitIndex2))),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3030, 2727])).
% 72.32/45.20 tff(3032,plain,
% 72.32/45.20 (v90(constB20, bitIndex2)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3031, 3023])).
% 72.32/45.20 tff(3033,assumption,(v90(constB20, bitIndex2)), introduced(assumption)).
% 72.32/45.20 tff(3034,assumption,(~v90(constB19, bitIndex2)), introduced(assumption)).
% 72.32/45.20 tff(3035,plain,
% 72.32/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB19, bitIndex2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB19, bitIndex2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex2)))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3036,plain,
% 72.32/45.20 (((~nextState(constB19, constB20)) | v90(constB19, bitIndex2) | v100(constB20) | (~v90(constB20, bitIndex2))) <=> (v90(constB19, bitIndex2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex2)))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3037,plain,
% 72.32/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v90(constB19, bitIndex2) | v100(constB20) | (~v90(constB20, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB19, bitIndex2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex2))))),
% 72.32/45.20 inference(monotonicity,[status(thm)],[3036])).
% 72.32/45.20 tff(3038,plain,
% 72.32/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v90(constB19, bitIndex2) | v100(constB20) | (~v90(constB20, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB19, bitIndex2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex2)))),
% 72.32/45.20 inference(transitivity,[status(thm)],[3037, 3035])).
% 72.32/45.20 tff(3039,plain,
% 72.32/45.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v90(constB19, bitIndex2) | v100(constB20) | (~v90(constB20, bitIndex2)))),
% 72.32/45.20 inference(quant_inst,[status(thm)],[])).
% 72.32/45.20 tff(3040,plain,
% 72.32/45.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB19, bitIndex2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex2))),
% 72.32/45.20 inference(modus_ponens,[status(thm)],[3039, 3038])).
% 72.32/45.20 tff(3041,plain,
% 72.32/45.20 (v90(constB19, bitIndex2) | v100(constB20) | (~v90(constB20, bitIndex2))),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3040, 88, 2653])).
% 72.32/45.20 tff(3042,plain,
% 72.32/45.20 (v100(constB20)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3041, 3034, 3033])).
% 72.32/45.20 tff(3043,assumption,(v90(constB20, bitIndex1)), introduced(assumption)).
% 72.32/45.20 tff(3044,plain,
% 72.32/45.20 (v129(constB20, bitIndex1) | (~v100(constB20))),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[2759, 603, 3043])).
% 72.32/45.20 tff(3045,plain,
% 72.32/45.20 (v129(constB20, bitIndex1)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3044, 3042])).
% 72.32/45.20 tff(3046,plain,
% 72.32/45.20 (v127(constB19, bitIndex1)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[2752, 3045])).
% 72.32/45.20 tff(3047,plain,
% 72.32/45.20 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB19)) | (~v127(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB19)) | (~v127(constB19, bitIndex1)))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3048,plain,
% 72.32/45.20 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB19)) | (~v127(constB19, bitIndex1)))),
% 72.32/45.20 inference(quant_inst,[status(thm)],[])).
% 72.32/45.20 tff(3049,plain,
% 72.32/45.20 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB19)) | (~v127(constB19, bitIndex1))),
% 72.32/45.20 inference(modus_ponens,[status(thm)],[3048, 3047])).
% 72.32/45.20 tff(3050,plain,
% 72.32/45.20 (~v26(constB19)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3049, 573, 3046])).
% 72.32/45.20 tff(3051,plain,
% 72.32/45.20 (v130(constB19, bitIndex1)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[2746, 555, 3046, 3050])).
% 72.32/45.20 tff(3052,plain,
% 72.32/45.20 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB19)) | (~v130(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB19)) | (~v130(constB19, bitIndex1)))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3053,plain,
% 72.32/45.20 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB19)) | (~v130(constB19, bitIndex1)))),
% 72.32/45.20 inference(quant_inst,[status(thm)],[])).
% 72.32/45.20 tff(3054,plain,
% 72.32/45.20 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB19)) | (~v130(constB19, bitIndex1))),
% 72.32/45.20 inference(modus_ponens,[status(thm)],[3053, 3052])).
% 72.32/45.20 tff(3055,plain,
% 72.32/45.20 (~v119(constB19)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3054, 541, 3051])).
% 72.32/45.20 tff(3056,assumption,(v90(constB20, bitIndex0)), introduced(assumption)).
% 72.32/45.20 tff(3057,plain,
% 72.32/45.20 (v129(constB20, bitIndex0) | (~v100(constB20))),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[2793, 938, 3056])).
% 72.32/45.20 tff(3058,plain,
% 72.32/45.20 (v129(constB20, bitIndex0)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3057, 3042])).
% 72.32/45.20 tff(3059,plain,
% 72.32/45.20 (v127(constB19, bitIndex0)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[2786, 3058])).
% 72.32/45.20 tff(3060,plain,
% 72.32/45.20 (v130(constB19, bitIndex0)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[2780, 905, 3059, 3050])).
% 72.32/45.20 tff(3061,plain,
% 72.32/45.20 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB19)) | (~v130(constB19, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB19)) | (~v130(constB19, bitIndex0)))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3062,plain,
% 72.32/45.20 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB19)) | (~v130(constB19, bitIndex0)))),
% 72.32/45.20 inference(quant_inst,[status(thm)],[])).
% 72.32/45.20 tff(3063,plain,
% 72.32/45.20 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB19)) | (~v130(constB19, bitIndex0))),
% 72.32/45.20 inference(modus_ponens,[status(thm)],[3062, 3061])).
% 72.32/45.20 tff(3064,plain,
% 72.32/45.20 (~v120(constB19)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3063, 891, 3060])).
% 72.32/45.20 tff(3065,plain,
% 72.32/45.20 (~v122(constB19)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[2739, 1389, 3051])).
% 72.32/45.20 tff(3066,plain,
% 72.32/45.20 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> (v90(VarCurr, bitIndex2) | (~v123(VarCurr))))),
% 72.32/45.20 inference(bind,[status(th)],[])).
% 72.32/45.20 tff(3067,plain,
% 72.32/45.20 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 72.32/45.20 inference(quant_intro,[status(thm)],[3066])).
% 72.32/45.20 tff(3068,plain,
% 72.32/45.20 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3069,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_2')).
% 72.32/45.20 tff(3070,plain,
% 72.32/45.20 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 72.32/45.20 inference(modus_ponens,[status(thm)],[3069, 3068])).
% 72.32/45.20 tff(3071,plain,(
% 72.32/45.20 ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 72.32/45.20 inference(skolemize,[status(sab)],[3070])).
% 72.32/45.20 tff(3072,plain,
% 72.32/45.20 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 72.32/45.20 inference(modus_ponens,[status(thm)],[3071, 3067])).
% 72.32/45.20 tff(3073,plain,
% 72.32/45.20 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB19, bitIndex2) | (~v123(constB19)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB19, bitIndex2) | (~v123(constB19)))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3074,plain,
% 72.32/45.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB19, bitIndex2) | (~v123(constB19)))),
% 72.32/45.20 inference(quant_inst,[status(thm)],[])).
% 72.32/45.20 tff(3075,plain,
% 72.32/45.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB19, bitIndex2) | (~v123(constB19))),
% 72.32/45.20 inference(modus_ponens,[status(thm)],[3074, 3073])).
% 72.32/45.20 tff(3076,plain,
% 72.32/45.20 (~v123(constB19)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3075, 3072, 3034])).
% 72.32/45.20 tff(3077,plain,
% 72.32/45.20 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex2) | (~v124(VarCurr))) <=> (v90(VarCurr, bitIndex2) | (~v124(VarCurr))))),
% 72.32/45.20 inference(bind,[status(th)],[])).
% 72.32/45.20 tff(3078,plain,
% 72.32/45.20 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 72.32/45.20 inference(quant_intro,[status(thm)],[3077])).
% 72.32/45.20 tff(3079,plain,
% 72.32/45.20 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3080,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_2')).
% 72.32/45.20 tff(3081,plain,
% 72.32/45.20 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 72.32/45.20 inference(modus_ponens,[status(thm)],[3080, 3079])).
% 72.32/45.20 tff(3082,plain,(
% 72.32/45.20 ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 72.32/45.20 inference(skolemize,[status(sab)],[3081])).
% 72.32/45.20 tff(3083,plain,
% 72.32/45.20 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 72.32/45.20 inference(modus_ponens,[status(thm)],[3082, 3078])).
% 72.32/45.20 tff(3084,plain,
% 72.32/45.20 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB19, bitIndex2) | (~v124(constB19)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB19, bitIndex2) | (~v124(constB19)))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3085,plain,
% 72.32/45.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB19, bitIndex2) | (~v124(constB19)))),
% 72.32/45.20 inference(quant_inst,[status(thm)],[])).
% 72.32/45.20 tff(3086,plain,
% 72.32/45.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB19, bitIndex2) | (~v124(constB19))),
% 72.32/45.20 inference(modus_ponens,[status(thm)],[3085, 3084])).
% 72.32/45.20 tff(3087,plain,
% 72.32/45.20 (~v124(constB19)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3086, 3083, 3034])).
% 72.32/45.20 tff(3088,plain,
% 72.32/45.20 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20)))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3089,plain,
% 72.32/45.20 (((~v90(constB20, bitIndex2)) | (~v100(constB20)) | v129(constB20, bitIndex2)) <=> ((~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20)))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3090,plain,
% 72.32/45.20 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB20, bitIndex2)) | (~v100(constB20)) | v129(constB20, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20))))),
% 72.32/45.20 inference(monotonicity,[status(thm)],[3089])).
% 72.32/45.20 tff(3091,plain,
% 72.32/45.20 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB20, bitIndex2)) | (~v100(constB20)) | v129(constB20, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20)))),
% 72.32/45.20 inference(transitivity,[status(thm)],[3090, 3088])).
% 72.32/45.20 tff(3092,plain,
% 72.32/45.20 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB20, bitIndex2)) | (~v100(constB20)) | v129(constB20, bitIndex2))),
% 72.32/45.20 inference(quant_inst,[status(thm)],[])).
% 72.32/45.20 tff(3093,plain,
% 72.32/45.20 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20))),
% 72.32/45.20 inference(modus_ponens,[status(thm)],[3092, 3091])).
% 72.32/45.20 tff(3094,plain,
% 72.32/45.20 (v129(constB20, bitIndex2) | (~v100(constB20))),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3093, 503, 3033])).
% 72.32/45.20 tff(3095,plain,
% 72.32/45.20 (v129(constB20, bitIndex2)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3094, 3042])).
% 72.32/45.20 tff(3096,plain,
% 72.32/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2)))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3097,plain,
% 72.32/45.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2)))),
% 72.32/45.20 inference(quant_inst,[status(thm)],[])).
% 72.32/45.20 tff(3098,plain,
% 72.32/45.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2))),
% 72.32/45.20 inference(modus_ponens,[status(thm)],[3097, 3096])).
% 72.32/45.20 tff(3099,plain,
% 72.32/45.20 (v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2))),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3098, 488, 2653])).
% 72.32/45.20 tff(3100,plain,
% 72.32/45.20 (v127(constB19, bitIndex2)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3099, 3095])).
% 72.32/45.20 tff(3101,plain,
% 72.32/45.20 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3102,plain,
% 72.32/45.20 ((v26(constB19) | v130(constB19, bitIndex2) | (~v127(constB19, bitIndex2))) <=> ((~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3103,plain,
% 72.32/45.20 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB19) | v130(constB19, bitIndex2) | (~v127(constB19, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2)))),
% 72.32/45.20 inference(monotonicity,[status(thm)],[3102])).
% 72.32/45.20 tff(3104,plain,
% 72.32/45.20 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB19) | v130(constB19, bitIndex2) | (~v127(constB19, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2))),
% 72.32/45.20 inference(transitivity,[status(thm)],[3103, 3101])).
% 72.32/45.20 tff(3105,plain,
% 72.32/45.20 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB19) | v130(constB19, bitIndex2) | (~v127(constB19, bitIndex2)))),
% 72.32/45.20 inference(quant_inst,[status(thm)],[])).
% 72.32/45.20 tff(3106,plain,
% 72.32/45.20 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2)),
% 72.32/45.20 inference(modus_ponens,[status(thm)],[3105, 3104])).
% 72.32/45.20 tff(3107,plain,
% 72.32/45.20 (v130(constB19, bitIndex2)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3106, 470, 3100, 3050])).
% 72.32/45.20 tff(3108,plain,
% 72.32/45.20 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB19) | v123(constB19) | v122(constB19) | v121(constB19) | v120(constB19) | v119(constB19) | (~v130(constB19, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB19) | v123(constB19) | v122(constB19) | v121(constB19) | v120(constB19) | v119(constB19) | (~v130(constB19, bitIndex2)))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3109,plain,
% 72.32/45.20 ((v120(constB19) | v119(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | (~v130(constB19, bitIndex2))) <=> (v124(constB19) | v123(constB19) | v122(constB19) | v121(constB19) | v120(constB19) | v119(constB19) | (~v130(constB19, bitIndex2)))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3110,plain,
% 72.32/45.20 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB19) | v119(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | (~v130(constB19, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB19) | v123(constB19) | v122(constB19) | v121(constB19) | v120(constB19) | v119(constB19) | (~v130(constB19, bitIndex2))))),
% 72.32/45.20 inference(monotonicity,[status(thm)],[3109])).
% 72.32/45.20 tff(3111,plain,
% 72.32/45.20 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB19) | v119(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | (~v130(constB19, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB19) | v123(constB19) | v122(constB19) | v121(constB19) | v120(constB19) | v119(constB19) | (~v130(constB19, bitIndex2)))),
% 72.32/45.20 inference(transitivity,[status(thm)],[3110, 3108])).
% 72.32/45.20 tff(3112,plain,
% 72.32/45.20 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB19) | v119(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | (~v130(constB19, bitIndex2)))),
% 72.32/45.20 inference(quant_inst,[status(thm)],[])).
% 72.32/45.20 tff(3113,plain,
% 72.32/45.20 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB19) | v123(constB19) | v122(constB19) | v121(constB19) | v120(constB19) | v119(constB19) | (~v130(constB19, bitIndex2))),
% 72.32/45.20 inference(modus_ponens,[status(thm)],[3112, 3111])).
% 72.32/45.20 tff(3114,plain,
% 72.32/45.20 (v121(constB19)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3113, 1955, 3107, 3087, 3076, 3065, 3064, 3055])).
% 72.32/45.20 tff(3115,plain,
% 72.32/45.20 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB19)) | (~v130(constB19, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB19)) | (~v130(constB19, bitIndex2)))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3116,plain,
% 72.32/45.20 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB19)) | (~v130(constB19, bitIndex2)))),
% 72.32/45.20 inference(quant_inst,[status(thm)],[])).
% 72.32/45.20 tff(3117,plain,
% 72.32/45.20 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB19)) | (~v130(constB19, bitIndex2))),
% 72.32/45.20 inference(modus_ponens,[status(thm)],[3116, 3115])).
% 72.32/45.20 tff(3118,plain,
% 72.32/45.20 ($false),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3117, 1059, 3107, 3114])).
% 72.32/45.20 tff(3119,plain,(v90(constB19, bitIndex2) | (~v90(constB20, bitIndex2)) | (~v90(constB20, bitIndex0)) | (~v90(constB20, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 72.32/45.20 tff(3120,plain,
% 72.32/45.20 (v90(constB19, bitIndex2)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3119, 3032, 3014, 2966])).
% 72.32/45.20 tff(3121,plain,
% 72.32/45.20 (v90(constB18, bitIndex2)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[2554, 3120])).
% 72.32/45.20 tff(3122,assumption,(~v100(constB20)), introduced(assumption)).
% 72.32/45.20 tff(3123,plain,
% 72.32/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB19, bitIndex0) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB19, bitIndex0) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex0)))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3124,plain,
% 72.32/45.20 (((~nextState(constB19, constB20)) | v90(constB19, bitIndex0) | v100(constB20) | (~v90(constB20, bitIndex0))) <=> (v90(constB19, bitIndex0) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex0)))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3125,plain,
% 72.32/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v90(constB19, bitIndex0) | v100(constB20) | (~v90(constB20, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB19, bitIndex0) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex0))))),
% 72.32/45.20 inference(monotonicity,[status(thm)],[3124])).
% 72.32/45.20 tff(3126,plain,
% 72.32/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v90(constB19, bitIndex0) | v100(constB20) | (~v90(constB20, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB19, bitIndex0) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex0)))),
% 72.32/45.20 inference(transitivity,[status(thm)],[3125, 3123])).
% 72.32/45.20 tff(3127,plain,
% 72.32/45.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v90(constB19, bitIndex0) | v100(constB20) | (~v90(constB20, bitIndex0)))),
% 72.32/45.20 inference(quant_inst,[status(thm)],[])).
% 72.32/45.20 tff(3128,plain,
% 72.32/45.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB19, bitIndex0) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex0))),
% 72.32/45.20 inference(modus_ponens,[status(thm)],[3127, 3126])).
% 72.32/45.20 tff(3129,plain,
% 72.32/45.20 (v90(constB19, bitIndex0) | v100(constB20) | (~v90(constB20, bitIndex0))),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3128, 130, 2653])).
% 72.32/45.20 tff(3130,plain,
% 72.32/45.20 (v90(constB19, bitIndex0)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3129, 3122, 3056])).
% 72.32/45.20 tff(3131,plain,
% 72.32/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0)))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3132,plain,
% 72.32/45.20 (((~nextState(constB18, constB19)) | v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0))) <=> (v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0)))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3133,plain,
% 72.32/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0))))),
% 72.32/45.20 inference(monotonicity,[status(thm)],[3132])).
% 72.32/45.20 tff(3134,plain,
% 72.32/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0)))),
% 72.32/45.20 inference(transitivity,[status(thm)],[3133, 3131])).
% 72.32/45.20 tff(3135,plain,
% 72.32/45.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0)))),
% 72.32/45.20 inference(quant_inst,[status(thm)],[])).
% 72.32/45.20 tff(3136,plain,
% 72.32/45.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0))),
% 72.32/45.20 inference(modus_ponens,[status(thm)],[3135, 3134])).
% 72.32/45.20 tff(3137,plain,
% 72.32/45.20 (v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0))),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3136, 130, 2534])).
% 72.32/45.20 tff(3138,plain,
% 72.32/45.20 (v90(constB18, bitIndex0) | (~v90(constB19, bitIndex0))),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3137, 2546])).
% 72.32/45.20 tff(3139,plain,
% 72.32/45.20 (v90(constB18, bitIndex0)),
% 72.32/45.20 inference(unit_resolution,[status(thm)],[3138, 3130])).
% 72.32/45.20 tff(3140,assumption,(v90(constB18, bitIndex2)), introduced(assumption)).
% 72.32/45.20 tff(3141,plain,
% 72.32/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB19, bitIndex1) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB19, bitIndex1) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex1)))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3142,plain,
% 72.32/45.20 (((~nextState(constB19, constB20)) | v90(constB19, bitIndex1) | v100(constB20) | (~v90(constB20, bitIndex1))) <=> (v90(constB19, bitIndex1) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex1)))),
% 72.32/45.20 inference(rewrite,[status(thm)],[])).
% 72.32/45.20 tff(3143,plain,
% 72.32/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB19, constB20)) | v90(constB19, bitIndex1) | v100(constB20) | (~v90(constB20, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB19, bitIndex1) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex1))))),
% 72.32/45.20 inference(monotonicity,[status(thm)],[3142])).
% 72.32/45.20 tff(3144,plain,
% 72.32/45.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB19, constB20)) | v90(constB19, bitIndex1) | v100(constB20) | (~v90(constB20, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB19, bitIndex1) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex1)))),
% 72.32/45.21 inference(transitivity,[status(thm)],[3143, 3141])).
% 72.32/45.21 tff(3145,plain,
% 72.32/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB19, constB20)) | v90(constB19, bitIndex1) | v100(constB20) | (~v90(constB20, bitIndex1)))),
% 72.32/45.21 inference(quant_inst,[status(thm)],[])).
% 72.32/45.21 tff(3146,plain,
% 72.32/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB19, bitIndex1) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, bitIndex1))),
% 72.32/45.21 inference(modus_ponens,[status(thm)],[3145, 3144])).
% 72.32/45.21 tff(3147,plain,
% 72.32/45.21 (v90(constB19, bitIndex1) | v100(constB20) | (~v90(constB20, bitIndex1))),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3146, 109, 2653])).
% 72.32/45.21 tff(3148,plain,
% 72.32/45.21 (v90(constB19, bitIndex1)),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3147, 3122, 3043])).
% 72.32/45.21 tff(3149,plain,
% 72.32/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex1)))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3150,plain,
% 72.32/45.21 (((~nextState(constB18, constB19)) | v90(constB18, bitIndex1) | v100(constB19) | (~v90(constB19, bitIndex1))) <=> (v90(constB18, bitIndex1) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex1)))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3151,plain,
% 72.32/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex1) | v100(constB19) | (~v90(constB19, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex1))))),
% 72.32/45.21 inference(monotonicity,[status(thm)],[3150])).
% 72.32/45.21 tff(3152,plain,
% 72.32/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex1) | v100(constB19) | (~v90(constB19, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex1)))),
% 72.32/45.21 inference(transitivity,[status(thm)],[3151, 3149])).
% 72.32/45.21 tff(3153,plain,
% 72.32/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB18, constB19)) | v90(constB18, bitIndex1) | v100(constB19) | (~v90(constB19, bitIndex1)))),
% 72.32/45.21 inference(quant_inst,[status(thm)],[])).
% 72.32/45.21 tff(3154,plain,
% 72.32/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex1))),
% 72.32/45.21 inference(modus_ponens,[status(thm)],[3153, 3152])).
% 72.32/45.21 tff(3155,plain,
% 72.32/45.21 (v90(constB18, bitIndex1) | v100(constB19) | (~v90(constB19, bitIndex1))),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3154, 109, 2534])).
% 72.32/45.21 tff(3156,plain,
% 72.32/45.21 (v90(constB18, bitIndex1) | (~v90(constB19, bitIndex1))),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3155, 2546])).
% 72.32/45.21 tff(3157,plain,
% 72.32/45.21 (v90(constB18, bitIndex1)),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3156, 3148])).
% 72.32/45.21 tff(3158,assumption,(v90(constB18, bitIndex1)), introduced(assumption)).
% 72.32/45.21 tff(3159,assumption,(~v90(constB17, bitIndex1)), introduced(assumption)).
% 72.32/45.21 tff(3160,plain,
% 72.32/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB17, bitIndex1) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB17, bitIndex1) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex1)))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3161,plain,
% 72.32/45.21 (((~nextState(constB17, constB18)) | v90(constB17, bitIndex1) | v100(constB18) | (~v90(constB18, bitIndex1))) <=> (v90(constB17, bitIndex1) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex1)))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3162,plain,
% 72.32/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB17, constB18)) | v90(constB17, bitIndex1) | v100(constB18) | (~v90(constB18, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB17, bitIndex1) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex1))))),
% 72.32/45.21 inference(monotonicity,[status(thm)],[3161])).
% 72.32/45.21 tff(3163,plain,
% 72.32/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB17, constB18)) | v90(constB17, bitIndex1) | v100(constB18) | (~v90(constB18, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB17, bitIndex1) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex1)))),
% 72.32/45.21 inference(transitivity,[status(thm)],[3162, 3160])).
% 72.32/45.21 tff(3164,plain,
% 72.32/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB17, constB18)) | v90(constB17, bitIndex1) | v100(constB18) | (~v90(constB18, bitIndex1)))),
% 72.32/45.21 inference(quant_inst,[status(thm)],[])).
% 72.32/45.21 tff(3165,plain,
% 72.32/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB17, bitIndex1) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex1))),
% 72.32/45.21 inference(modus_ponens,[status(thm)],[3164, 3163])).
% 72.32/45.21 tff(3166,plain,
% 72.32/45.21 (v90(constB17, bitIndex1) | v100(constB18) | (~v90(constB18, bitIndex1))),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3165, 109, 2469])).
% 72.32/45.21 tff(3167,plain,
% 72.32/45.21 (v100(constB18)),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3166, 3159, 3158])).
% 72.32/45.21 tff(3168,plain,
% 72.32/45.21 (v129(constB18, bitIndex2) | (~v100(constB18))),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[2526, 503, 3140])).
% 72.32/45.21 tff(3169,plain,
% 72.32/45.21 (v129(constB18, bitIndex2)),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3168, 3167])).
% 72.32/45.21 tff(3170,plain,
% 72.32/45.21 (v127(constB17, bitIndex2)),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[2519, 3169])).
% 72.32/45.21 tff(3171,plain,
% 72.32/45.21 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB17)) | (~v127(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB17)) | (~v127(constB17, bitIndex2)))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3172,plain,
% 72.32/45.21 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB17)) | (~v127(constB17, bitIndex2)))),
% 72.32/45.21 inference(quant_inst,[status(thm)],[])).
% 72.32/45.21 tff(3173,plain,
% 72.32/45.21 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB17)) | (~v127(constB17, bitIndex2))),
% 72.32/45.21 inference(modus_ponens,[status(thm)],[3172, 3171])).
% 72.32/45.21 tff(3174,plain,
% 72.32/45.21 (~v26(constB17)),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3173, 754, 3170])).
% 72.32/45.21 tff(3175,plain,
% 72.32/45.21 (v130(constB17, bitIndex2)),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[2513, 470, 3170, 3174])).
% 72.32/45.21 tff(3176,plain,
% 72.32/45.21 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB17)) | (~v130(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB17)) | (~v130(constB17, bitIndex2)))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3177,plain,
% 72.32/45.21 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB17)) | (~v130(constB17, bitIndex2)))),
% 72.32/45.21 inference(quant_inst,[status(thm)],[])).
% 72.32/45.21 tff(3178,plain,
% 72.32/45.21 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB17)) | (~v130(constB17, bitIndex2))),
% 72.32/45.21 inference(modus_ponens,[status(thm)],[3177, 3176])).
% 72.32/45.21 tff(3179,plain,
% 72.32/45.21 (~v119(constB17)),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3178, 456, 3175])).
% 72.32/45.21 tff(3180,plain,
% 72.32/45.21 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB17)) | (~v130(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB17)) | (~v130(constB17, bitIndex2)))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3181,plain,
% 72.32/45.21 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB17)) | (~v130(constB17, bitIndex2)))),
% 72.32/45.21 inference(quant_inst,[status(thm)],[])).
% 72.32/45.21 tff(3182,plain,
% 72.32/45.21 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB17)) | (~v130(constB17, bitIndex2))),
% 72.32/45.21 inference(modus_ponens,[status(thm)],[3181, 3180])).
% 72.32/45.21 tff(3183,plain,
% 72.32/45.21 (~v120(constB17)),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3182, 730, 3175])).
% 72.32/45.21 tff(3184,plain,
% 72.32/45.21 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> (v90(VarCurr, bitIndex1) | (~v121(VarCurr))))),
% 72.32/45.21 inference(bind,[status(th)],[])).
% 72.32/45.21 tff(3185,plain,
% 72.32/45.21 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 72.32/45.21 inference(quant_intro,[status(thm)],[3184])).
% 72.32/45.21 tff(3186,plain,
% 72.32/45.21 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3187,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_2')).
% 72.32/45.21 tff(3188,plain,
% 72.32/45.21 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 72.32/45.21 inference(modus_ponens,[status(thm)],[3187, 3186])).
% 72.32/45.21 tff(3189,plain,(
% 72.32/45.21 ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 72.32/45.21 inference(skolemize,[status(sab)],[3188])).
% 72.32/45.21 tff(3190,plain,
% 72.32/45.21 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 72.32/45.21 inference(modus_ponens,[status(thm)],[3189, 3185])).
% 72.32/45.21 tff(3191,plain,
% 72.32/45.21 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB17, bitIndex1) | (~v121(constB17)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB17, bitIndex1) | (~v121(constB17)))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3192,plain,
% 72.32/45.21 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB17, bitIndex1) | (~v121(constB17)))),
% 72.32/45.21 inference(quant_inst,[status(thm)],[])).
% 72.32/45.21 tff(3193,plain,
% 72.32/45.21 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB17, bitIndex1) | (~v121(constB17))),
% 72.32/45.21 inference(modus_ponens,[status(thm)],[3192, 3191])).
% 72.32/45.21 tff(3194,plain,
% 72.32/45.21 (~v121(constB17)),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3193, 3190, 3159])).
% 72.32/45.21 tff(3195,plain,
% 72.32/45.21 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex1) | (~v122(VarCurr))) <=> (v90(VarCurr, bitIndex1) | (~v122(VarCurr))))),
% 72.32/45.21 inference(bind,[status(th)],[])).
% 72.32/45.21 tff(3196,plain,
% 72.32/45.21 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))),
% 72.32/45.21 inference(quant_intro,[status(thm)],[3195])).
% 72.32/45.21 tff(3197,plain,
% 72.32/45.21 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3198,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_2')).
% 72.32/45.21 tff(3199,plain,
% 72.32/45.21 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))),
% 72.32/45.21 inference(modus_ponens,[status(thm)],[3198, 3197])).
% 72.32/45.21 tff(3200,plain,(
% 72.32/45.21 ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))),
% 72.32/45.21 inference(skolemize,[status(sab)],[3199])).
% 72.32/45.21 tff(3201,plain,
% 72.32/45.21 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))),
% 72.32/45.21 inference(modus_ponens,[status(thm)],[3200, 3196])).
% 72.32/45.21 tff(3202,plain,
% 72.32/45.21 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB17, bitIndex1) | (~v122(constB17)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB17, bitIndex1) | (~v122(constB17)))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3203,plain,
% 72.32/45.21 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB17, bitIndex1) | (~v122(constB17)))),
% 72.32/45.21 inference(quant_inst,[status(thm)],[])).
% 72.32/45.21 tff(3204,plain,
% 72.32/45.21 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB17, bitIndex1) | (~v122(constB17))),
% 72.32/45.21 inference(modus_ponens,[status(thm)],[3203, 3202])).
% 72.32/45.21 tff(3205,plain,
% 72.32/45.21 (~v122(constB17)),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3204, 3201, 3159])).
% 72.32/45.21 tff(3206,assumption,(v90(constB18, bitIndex0)), introduced(assumption)).
% 72.32/45.21 tff(3207,plain,
% 72.32/45.21 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18)))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3208,plain,
% 72.32/45.21 (((~v90(constB18, bitIndex0)) | (~v100(constB18)) | v129(constB18, bitIndex0)) <=> ((~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18)))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3209,plain,
% 72.32/45.21 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | (~v100(constB18)) | v129(constB18, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18))))),
% 72.32/45.21 inference(monotonicity,[status(thm)],[3208])).
% 72.32/45.21 tff(3210,plain,
% 72.32/45.21 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | (~v100(constB18)) | v129(constB18, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18)))),
% 72.32/45.21 inference(transitivity,[status(thm)],[3209, 3207])).
% 72.32/45.21 tff(3211,plain,
% 72.32/45.21 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | (~v100(constB18)) | v129(constB18, bitIndex0))),
% 72.32/45.21 inference(quant_inst,[status(thm)],[])).
% 72.32/45.21 tff(3212,plain,
% 72.32/45.21 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18))),
% 72.32/45.21 inference(modus_ponens,[status(thm)],[3211, 3210])).
% 72.32/45.21 tff(3213,plain,
% 72.32/45.21 (v129(constB18, bitIndex0) | (~v100(constB18))),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3212, 938, 3206])).
% 72.32/45.21 tff(3214,plain,
% 72.32/45.21 (v129(constB18, bitIndex0)),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3213, 3167])).
% 72.32/45.21 tff(3215,plain,
% 72.32/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0)))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3216,plain,
% 72.32/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0)))),
% 72.32/45.21 inference(quant_inst,[status(thm)],[])).
% 72.32/45.21 tff(3217,plain,
% 72.32/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0))),
% 72.32/45.21 inference(modus_ponens,[status(thm)],[3216, 3215])).
% 72.32/45.21 tff(3218,plain,
% 72.32/45.21 (v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0))),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3217, 923, 2469])).
% 72.32/45.21 tff(3219,plain,
% 72.32/45.21 (v127(constB17, bitIndex0)),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3218, 3214])).
% 72.32/45.21 tff(3220,plain,
% 72.32/45.21 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3221,plain,
% 72.32/45.21 ((v26(constB17) | v130(constB17, bitIndex0) | (~v127(constB17, bitIndex0))) <=> ((~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3222,plain,
% 72.32/45.21 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB17) | v130(constB17, bitIndex0) | (~v127(constB17, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0)))),
% 72.32/45.21 inference(monotonicity,[status(thm)],[3221])).
% 72.32/45.21 tff(3223,plain,
% 72.32/45.21 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB17) | v130(constB17, bitIndex0) | (~v127(constB17, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0))),
% 72.32/45.21 inference(transitivity,[status(thm)],[3222, 3220])).
% 72.32/45.21 tff(3224,plain,
% 72.32/45.21 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB17) | v130(constB17, bitIndex0) | (~v127(constB17, bitIndex0)))),
% 72.32/45.21 inference(quant_inst,[status(thm)],[])).
% 72.32/45.21 tff(3225,plain,
% 72.32/45.21 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0)),
% 72.32/45.21 inference(modus_ponens,[status(thm)],[3224, 3223])).
% 72.32/45.21 tff(3226,plain,
% 72.32/45.21 (v130(constB17, bitIndex0)),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3225, 905, 3219, 3174])).
% 72.32/45.21 tff(3227,plain,
% 72.32/45.21 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB17)) | (~v130(constB17, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB17)) | (~v130(constB17, bitIndex0)))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3228,plain,
% 72.32/45.21 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB17)) | (~v130(constB17, bitIndex0)))),
% 72.32/45.21 inference(quant_inst,[status(thm)],[])).
% 72.32/45.21 tff(3229,plain,
% 72.32/45.21 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB17)) | (~v130(constB17, bitIndex0))),
% 72.32/45.21 inference(modus_ponens,[status(thm)],[3228, 3227])).
% 72.32/45.21 tff(3230,plain,
% 72.32/45.21 (~v124(constB17)),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3229, 1992, 3226])).
% 72.32/45.21 tff(3231,plain,
% 72.32/45.21 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB18, bitIndex1)) | v129(constB18, bitIndex1) | (~v100(constB18)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | v129(constB18, bitIndex1) | (~v100(constB18)))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3232,plain,
% 72.32/45.21 (((~v90(constB18, bitIndex1)) | (~v100(constB18)) | v129(constB18, bitIndex1)) <=> ((~v90(constB18, bitIndex1)) | v129(constB18, bitIndex1) | (~v100(constB18)))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3233,plain,
% 72.32/45.21 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB18, bitIndex1)) | (~v100(constB18)) | v129(constB18, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB18, bitIndex1)) | v129(constB18, bitIndex1) | (~v100(constB18))))),
% 72.32/45.21 inference(monotonicity,[status(thm)],[3232])).
% 72.32/45.21 tff(3234,plain,
% 72.32/45.21 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB18, bitIndex1)) | (~v100(constB18)) | v129(constB18, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | v129(constB18, bitIndex1) | (~v100(constB18)))),
% 72.32/45.21 inference(transitivity,[status(thm)],[3233, 3231])).
% 72.32/45.21 tff(3235,plain,
% 72.32/45.21 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB18, bitIndex1)) | (~v100(constB18)) | v129(constB18, bitIndex1))),
% 72.32/45.21 inference(quant_inst,[status(thm)],[])).
% 72.32/45.21 tff(3236,plain,
% 72.32/45.21 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB18, bitIndex1)) | v129(constB18, bitIndex1) | (~v100(constB18))),
% 72.32/45.21 inference(modus_ponens,[status(thm)],[3235, 3234])).
% 72.32/45.21 tff(3237,plain,
% 72.32/45.21 (v129(constB18, bitIndex1) | (~v100(constB18))),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3236, 603, 3158])).
% 72.32/45.21 tff(3238,plain,
% 72.32/45.21 (v129(constB18, bitIndex1)),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3237, 3167])).
% 72.32/45.21 tff(3239,plain,
% 72.32/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex1) | (~v129(constB18, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex1) | (~v129(constB18, bitIndex1)))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3240,plain,
% 72.32/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex1) | (~v129(constB18, bitIndex1)))),
% 72.32/45.21 inference(quant_inst,[status(thm)],[])).
% 72.32/45.21 tff(3241,plain,
% 72.32/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex1) | (~v129(constB18, bitIndex1))),
% 72.32/45.21 inference(modus_ponens,[status(thm)],[3240, 3239])).
% 72.32/45.21 tff(3242,plain,
% 72.32/45.21 (v127(constB17, bitIndex1) | (~v129(constB18, bitIndex1))),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3241, 588, 2469])).
% 72.32/45.21 tff(3243,plain,
% 72.32/45.21 (v127(constB17, bitIndex1)),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3242, 3238])).
% 72.32/45.21 tff(3244,plain,
% 72.32/45.21 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB17, bitIndex1)) | v26(constB17) | v130(constB17, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB17, bitIndex1)) | v26(constB17) | v130(constB17, bitIndex1))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3245,plain,
% 72.32/45.21 ((v26(constB17) | v130(constB17, bitIndex1) | (~v127(constB17, bitIndex1))) <=> ((~v127(constB17, bitIndex1)) | v26(constB17) | v130(constB17, bitIndex1))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3246,plain,
% 72.32/45.21 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB17) | v130(constB17, bitIndex1) | (~v127(constB17, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB17, bitIndex1)) | v26(constB17) | v130(constB17, bitIndex1)))),
% 72.32/45.21 inference(monotonicity,[status(thm)],[3245])).
% 72.32/45.21 tff(3247,plain,
% 72.32/45.21 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB17) | v130(constB17, bitIndex1) | (~v127(constB17, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB17, bitIndex1)) | v26(constB17) | v130(constB17, bitIndex1))),
% 72.32/45.21 inference(transitivity,[status(thm)],[3246, 3244])).
% 72.32/45.21 tff(3248,plain,
% 72.32/45.21 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB17) | v130(constB17, bitIndex1) | (~v127(constB17, bitIndex1)))),
% 72.32/45.21 inference(quant_inst,[status(thm)],[])).
% 72.32/45.21 tff(3249,plain,
% 72.32/45.21 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB17, bitIndex1)) | v26(constB17) | v130(constB17, bitIndex1)),
% 72.32/45.21 inference(modus_ponens,[status(thm)],[3248, 3247])).
% 72.32/45.21 tff(3250,plain,
% 72.32/45.21 (v130(constB17, bitIndex1)),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3249, 555, 3243, 3174])).
% 72.32/45.21 tff(3251,plain,
% 72.32/45.21 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB17) | v123(constB17) | v122(constB17) | v121(constB17) | v120(constB17) | v119(constB17) | (~v130(constB17, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB17) | v123(constB17) | v122(constB17) | v121(constB17) | v120(constB17) | v119(constB17) | (~v130(constB17, bitIndex1)))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3252,plain,
% 72.32/45.21 ((v120(constB17) | v119(constB17) | v121(constB17) | v122(constB17) | v123(constB17) | v124(constB17) | (~v130(constB17, bitIndex1))) <=> (v124(constB17) | v123(constB17) | v122(constB17) | v121(constB17) | v120(constB17) | v119(constB17) | (~v130(constB17, bitIndex1)))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3253,plain,
% 72.32/45.21 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB17) | v119(constB17) | v121(constB17) | v122(constB17) | v123(constB17) | v124(constB17) | (~v130(constB17, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB17) | v123(constB17) | v122(constB17) | v121(constB17) | v120(constB17) | v119(constB17) | (~v130(constB17, bitIndex1))))),
% 72.32/45.21 inference(monotonicity,[status(thm)],[3252])).
% 72.32/45.21 tff(3254,plain,
% 72.32/45.21 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB17) | v119(constB17) | v121(constB17) | v122(constB17) | v123(constB17) | v124(constB17) | (~v130(constB17, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB17) | v123(constB17) | v122(constB17) | v121(constB17) | v120(constB17) | v119(constB17) | (~v130(constB17, bitIndex1)))),
% 72.32/45.21 inference(transitivity,[status(thm)],[3253, 3251])).
% 72.32/45.21 tff(3255,plain,
% 72.32/45.21 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB17) | v119(constB17) | v121(constB17) | v122(constB17) | v123(constB17) | v124(constB17) | (~v130(constB17, bitIndex1)))),
% 72.32/45.21 inference(quant_inst,[status(thm)],[])).
% 72.32/45.21 tff(3256,plain,
% 72.32/45.21 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB17) | v123(constB17) | v122(constB17) | v121(constB17) | v120(constB17) | v119(constB17) | (~v130(constB17, bitIndex1))),
% 72.32/45.21 inference(modus_ponens,[status(thm)],[3255, 3254])).
% 72.32/45.21 tff(3257,plain,
% 72.32/45.21 (v123(constB17)),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3256, 2146, 3250, 3230, 3205, 3194, 3183, 3179])).
% 72.32/45.21 tff(3258,plain,
% 72.32/45.21 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB17)) | (~v130(constB17, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB17)) | (~v130(constB17, bitIndex1)))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3259,plain,
% 72.32/45.21 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB17)) | (~v130(constB17, bitIndex1)))),
% 72.32/45.21 inference(quant_inst,[status(thm)],[])).
% 72.32/45.21 tff(3260,plain,
% 72.32/45.21 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB17)) | (~v130(constB17, bitIndex1))),
% 72.32/45.21 inference(modus_ponens,[status(thm)],[3259, 3258])).
% 72.32/45.21 tff(3261,plain,
% 72.32/45.21 ($false),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3260, 1622, 3250, 3257])).
% 72.32/45.21 tff(3262,plain,(v90(constB17, bitIndex1) | (~v90(constB18, bitIndex1)) | (~v90(constB18, bitIndex0)) | (~v90(constB18, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 72.32/45.21 tff(3263,plain,
% 72.32/45.21 (v90(constB17, bitIndex1)),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3262, 3157, 3139, 3140])).
% 72.32/45.21 tff(3264,plain,
% 72.32/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1)))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3265,plain,
% 72.32/45.21 (((~nextState(constB16, constB17)) | v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1))) <=> (v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1)))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3266,plain,
% 72.32/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1))))),
% 72.32/45.21 inference(monotonicity,[status(thm)],[3265])).
% 72.32/45.21 tff(3267,plain,
% 72.32/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1)))),
% 72.32/45.21 inference(transitivity,[status(thm)],[3266, 3264])).
% 72.32/45.21 tff(3268,plain,
% 72.32/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB16, constB17)) | v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1)))),
% 72.32/45.21 inference(quant_inst,[status(thm)],[])).
% 72.32/45.21 tff(3269,plain,
% 72.32/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1))),
% 72.32/45.21 inference(modus_ponens,[status(thm)],[3268, 3267])).
% 72.32/45.21 tff(3270,plain,
% 72.32/45.21 (v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1))),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3269, 109, 2340])).
% 72.32/45.21 tff(3271,plain,
% 72.32/45.21 (v90(constB16, bitIndex1) | (~v90(constB17, bitIndex1))),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3270, 2352])).
% 72.32/45.21 tff(3272,plain,
% 72.32/45.21 (v90(constB16, bitIndex1)),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3271, 3263])).
% 72.32/45.21 tff(3273,assumption,(~v100(constB18)), introduced(assumption)).
% 72.32/45.21 tff(3274,plain,
% 72.32/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB17, bitIndex0) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB17, bitIndex0) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex0)))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3275,plain,
% 72.32/45.21 (((~nextState(constB17, constB18)) | v90(constB17, bitIndex0) | v100(constB18) | (~v90(constB18, bitIndex0))) <=> (v90(constB17, bitIndex0) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex0)))),
% 72.32/45.21 inference(rewrite,[status(thm)],[])).
% 72.32/45.21 tff(3276,plain,
% 72.32/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v90(constB17, bitIndex0) | v100(constB18) | (~v90(constB18, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB17, bitIndex0) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex0))))),
% 72.32/45.21 inference(monotonicity,[status(thm)],[3275])).
% 72.32/45.21 tff(3277,plain,
% 72.32/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v90(constB17, bitIndex0) | v100(constB18) | (~v90(constB18, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB17, bitIndex0) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex0)))),
% 72.32/45.21 inference(transitivity,[status(thm)],[3276, 3274])).
% 72.32/45.21 tff(3278,plain,
% 72.32/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v90(constB17, bitIndex0) | v100(constB18) | (~v90(constB18, bitIndex0)))),
% 72.32/45.21 inference(quant_inst,[status(thm)],[])).
% 72.32/45.21 tff(3279,plain,
% 72.32/45.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB17, bitIndex0) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex0))),
% 72.32/45.21 inference(modus_ponens,[status(thm)],[3278, 3277])).
% 72.32/45.21 tff(3280,plain,
% 72.32/45.21 (v90(constB17, bitIndex0) | v100(constB18) | (~v90(constB18, bitIndex0))),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3279, 130, 2469])).
% 72.32/45.21 tff(3281,plain,
% 72.32/45.21 (v90(constB17, bitIndex0)),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[3280, 3273, 3206])).
% 72.32/45.21 tff(3282,plain,
% 72.32/45.21 (v90(constB16, bitIndex0)),
% 72.32/45.21 inference(unit_resolution,[status(thm)],[2425, 3281])).
% 72.32/45.21 tff(3283,assumption,(v90(constB16, bitIndex1)), introduced(assumption)).
% 72.32/45.21 tff(3284,plain,
% 72.32/45.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB17, bitIndex2) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB17, bitIndex2) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex2)))),
% 72.32/45.22 inference(rewrite,[status(thm)],[])).
% 72.32/45.22 tff(3285,plain,
% 72.32/45.22 (((~nextState(constB17, constB18)) | v90(constB17, bitIndex2) | v100(constB18) | (~v90(constB18, bitIndex2))) <=> (v90(constB17, bitIndex2) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex2)))),
% 72.32/45.22 inference(rewrite,[status(thm)],[])).
% 72.32/45.22 tff(3286,plain,
% 72.32/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v90(constB17, bitIndex2) | v100(constB18) | (~v90(constB18, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB17, bitIndex2) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex2))))),
% 72.32/45.22 inference(monotonicity,[status(thm)],[3285])).
% 72.32/45.22 tff(3287,plain,
% 72.32/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v90(constB17, bitIndex2) | v100(constB18) | (~v90(constB18, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB17, bitIndex2) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex2)))),
% 72.32/45.22 inference(transitivity,[status(thm)],[3286, 3284])).
% 72.32/45.22 tff(3288,plain,
% 72.32/45.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v90(constB17, bitIndex2) | v100(constB18) | (~v90(constB18, bitIndex2)))),
% 72.32/45.22 inference(quant_inst,[status(thm)],[])).
% 72.32/45.22 tff(3289,plain,
% 72.32/45.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB17, bitIndex2) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex2))),
% 72.32/45.22 inference(modus_ponens,[status(thm)],[3288, 3287])).
% 72.32/45.22 tff(3290,plain,
% 72.32/45.22 (v90(constB17, bitIndex2) | v100(constB18) | (~v90(constB18, bitIndex2))),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[3289, 88, 2469])).
% 72.32/45.22 tff(3291,plain,
% 72.32/45.22 (v90(constB17, bitIndex2)),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[3290, 3273, 3140])).
% 72.32/45.22 tff(3292,plain,
% 72.32/45.22 (v90(constB16, bitIndex2)),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[2360, 3291])).
% 72.32/45.22 tff(3293,assumption,(v100(constB16)), introduced(assumption)).
% 72.32/45.22 tff(3294,plain,
% 72.32/45.22 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16)))),
% 72.32/45.22 inference(rewrite,[status(thm)],[])).
% 72.32/45.22 tff(3295,plain,
% 72.32/45.22 (((~v90(constB16, bitIndex1)) | (~v100(constB16)) | v129(constB16, bitIndex1)) <=> ((~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16)))),
% 72.32/45.22 inference(rewrite,[status(thm)],[])).
% 72.32/45.22 tff(3296,plain,
% 72.32/45.22 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | (~v100(constB16)) | v129(constB16, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16))))),
% 72.32/45.22 inference(monotonicity,[status(thm)],[3295])).
% 72.32/45.22 tff(3297,plain,
% 72.32/45.22 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | (~v100(constB16)) | v129(constB16, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16)))),
% 72.32/45.22 inference(transitivity,[status(thm)],[3296, 3294])).
% 72.32/45.22 tff(3298,plain,
% 72.32/45.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | (~v100(constB16)) | v129(constB16, bitIndex1))),
% 72.32/45.22 inference(quant_inst,[status(thm)],[])).
% 72.32/45.22 tff(3299,plain,
% 72.32/45.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16))),
% 72.32/45.22 inference(modus_ponens,[status(thm)],[3298, 3297])).
% 72.32/45.22 tff(3300,plain,
% 72.32/45.22 (v129(constB16, bitIndex1) | (~v100(constB16))),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[3299, 603, 3283])).
% 72.32/45.22 tff(3301,plain,
% 72.32/45.22 (v129(constB16, bitIndex1)),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[3300, 3293])).
% 72.32/45.22 tff(3302,plain,
% 72.32/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1)))),
% 72.32/45.22 inference(rewrite,[status(thm)],[])).
% 72.32/45.22 tff(3303,plain,
% 72.32/45.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1)))),
% 72.32/45.22 inference(quant_inst,[status(thm)],[])).
% 72.32/45.22 tff(3304,plain,
% 72.32/45.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1))),
% 72.32/45.22 inference(modus_ponens,[status(thm)],[3303, 3302])).
% 72.32/45.22 tff(3305,plain,
% 72.32/45.22 (v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1))),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[3304, 588, 2275])).
% 72.32/45.22 tff(3306,plain,
% 72.32/45.22 (v127(constB15, bitIndex1)),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[3305, 3301])).
% 72.32/45.22 tff(3307,plain,
% 72.32/45.22 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB15)) | (~v127(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB15)) | (~v127(constB15, bitIndex1)))),
% 72.32/45.22 inference(rewrite,[status(thm)],[])).
% 72.32/45.22 tff(3308,plain,
% 72.32/45.22 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB15)) | (~v127(constB15, bitIndex1)))),
% 72.32/45.22 inference(quant_inst,[status(thm)],[])).
% 72.32/45.22 tff(3309,plain,
% 72.32/45.22 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB15)) | (~v127(constB15, bitIndex1))),
% 72.32/45.22 inference(modus_ponens,[status(thm)],[3308, 3307])).
% 72.32/45.22 tff(3310,plain,
% 72.32/45.22 (~v26(constB15)),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[3309, 573, 3306])).
% 72.32/45.22 tff(3311,plain,
% 72.32/45.22 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1))),
% 72.32/45.22 inference(rewrite,[status(thm)],[])).
% 72.32/45.22 tff(3312,plain,
% 72.32/45.22 ((v26(constB15) | v130(constB15, bitIndex1) | (~v127(constB15, bitIndex1))) <=> ((~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1))),
% 72.32/45.22 inference(rewrite,[status(thm)],[])).
% 72.32/45.22 tff(3313,plain,
% 72.32/45.22 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB15) | v130(constB15, bitIndex1) | (~v127(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1)))),
% 72.32/45.22 inference(monotonicity,[status(thm)],[3312])).
% 72.32/45.22 tff(3314,plain,
% 72.32/45.22 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB15) | v130(constB15, bitIndex1) | (~v127(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1))),
% 72.32/45.22 inference(transitivity,[status(thm)],[3313, 3311])).
% 72.32/45.22 tff(3315,plain,
% 72.32/45.22 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB15) | v130(constB15, bitIndex1) | (~v127(constB15, bitIndex1)))),
% 72.32/45.22 inference(quant_inst,[status(thm)],[])).
% 72.32/45.22 tff(3316,plain,
% 72.32/45.22 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1)),
% 72.32/45.22 inference(modus_ponens,[status(thm)],[3315, 3314])).
% 72.32/45.22 tff(3317,plain,
% 72.32/45.22 (v130(constB15, bitIndex1)),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[3316, 555, 3306, 3310])).
% 72.32/45.22 tff(3318,plain,
% 72.32/45.22 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB15)) | (~v130(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB15)) | (~v130(constB15, bitIndex1)))),
% 72.32/45.22 inference(rewrite,[status(thm)],[])).
% 72.32/45.22 tff(3319,plain,
% 72.32/45.22 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB15)) | (~v130(constB15, bitIndex1)))),
% 72.32/45.22 inference(quant_inst,[status(thm)],[])).
% 72.32/45.22 tff(3320,plain,
% 72.32/45.22 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB15)) | (~v130(constB15, bitIndex1))),
% 72.32/45.22 inference(modus_ponens,[status(thm)],[3319, 3318])).
% 72.32/45.22 tff(3321,plain,
% 72.32/45.22 (~v123(constB15)),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[3320, 1622, 3317])).
% 72.32/45.22 tff(3322,plain,
% 72.32/45.22 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB15)) | (~v130(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB15)) | (~v130(constB15, bitIndex1)))),
% 72.32/45.22 inference(rewrite,[status(thm)],[])).
% 72.32/45.22 tff(3323,plain,
% 72.32/45.22 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB15)) | (~v130(constB15, bitIndex1)))),
% 72.32/45.22 inference(quant_inst,[status(thm)],[])).
% 72.32/45.22 tff(3324,plain,
% 72.32/45.22 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB15)) | (~v130(constB15, bitIndex1))),
% 72.32/45.22 inference(modus_ponens,[status(thm)],[3323, 3322])).
% 72.32/45.22 tff(3325,plain,
% 72.32/45.22 (~v119(constB15)),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[3324, 541, 3317])).
% 72.32/45.22 tff(3326,assumption,(v90(constB16, bitIndex2)), introduced(assumption)).
% 72.32/45.22 tff(3327,plain,
% 72.32/45.22 (v129(constB16, bitIndex2) | (~v100(constB16))),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[2332, 503, 3326])).
% 72.32/45.22 tff(3328,plain,
% 72.32/45.22 (v129(constB16, bitIndex2)),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[3327, 3293])).
% 72.32/45.22 tff(3329,plain,
% 72.32/45.22 (v127(constB15, bitIndex2)),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[2325, 3328])).
% 72.32/45.22 tff(3330,plain,
% 72.32/45.22 (v130(constB15, bitIndex2)),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[2319, 470, 3329, 3310])).
% 72.32/45.22 tff(3331,assumption,(v90(constB16, bitIndex0)), introduced(assumption)).
% 72.32/45.22 tff(3332,plain,
% 72.32/45.22 (v129(constB16, bitIndex0) | (~v100(constB16))),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[2415, 938, 3331])).
% 72.32/45.22 tff(3333,plain,
% 72.32/45.22 (v129(constB16, bitIndex0)),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[3332, 3293])).
% 72.32/45.22 tff(3334,plain,
% 72.32/45.22 (v127(constB15, bitIndex0)),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[2408, 3333])).
% 72.32/45.22 tff(3335,plain,
% 72.32/45.22 (v130(constB15, bitIndex0)),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[2402, 905, 3334, 3310])).
% 72.32/45.22 tff(3336,plain,
% 72.32/45.22 (~v120(constB15)),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[2395, 891, 3335])).
% 72.32/45.22 tff(3337,plain,
% 72.32/45.22 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB15)) | (~v130(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB15)) | (~v130(constB15, bitIndex1)))),
% 72.32/45.22 inference(rewrite,[status(thm)],[])).
% 72.32/45.22 tff(3338,plain,
% 72.32/45.22 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB15)) | (~v130(constB15, bitIndex1)))),
% 72.32/45.22 inference(quant_inst,[status(thm)],[])).
% 72.32/45.22 tff(3339,plain,
% 72.32/45.22 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB15)) | (~v130(constB15, bitIndex1))),
% 72.32/45.22 inference(modus_ponens,[status(thm)],[3338, 3337])).
% 72.32/45.22 tff(3340,plain,
% 72.32/45.22 (~v122(constB15)),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[3339, 1389, 3317])).
% 72.32/45.22 tff(3341,plain,
% 72.32/45.22 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB15)) | (~v130(constB15, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB15)) | (~v130(constB15, bitIndex0)))),
% 72.32/45.22 inference(rewrite,[status(thm)],[])).
% 72.32/45.22 tff(3342,plain,
% 72.32/45.22 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB15)) | (~v130(constB15, bitIndex0)))),
% 72.32/45.22 inference(quant_inst,[status(thm)],[])).
% 72.32/45.22 tff(3343,plain,
% 72.32/45.22 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB15)) | (~v130(constB15, bitIndex0))),
% 72.32/45.22 inference(modus_ponens,[status(thm)],[3342, 3341])).
% 72.32/45.22 tff(3344,plain,
% 72.32/45.22 (~v124(constB15)),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[3343, 1992, 3335])).
% 72.32/45.22 tff(3345,plain,
% 72.32/45.22 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB15, bitIndex2)) | v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB15, bitIndex2)) | v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15))),
% 72.32/45.22 inference(rewrite,[status(thm)],[])).
% 72.32/45.22 tff(3346,plain,
% 72.32/45.22 ((v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex2))) <=> ((~v130(constB15, bitIndex2)) | v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15))),
% 72.32/45.22 inference(rewrite,[status(thm)],[])).
% 72.32/45.22 tff(3347,plain,
% 72.32/45.22 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB15, bitIndex2)) | v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15)))),
% 72.32/45.22 inference(monotonicity,[status(thm)],[3346])).
% 72.32/45.22 tff(3348,plain,
% 72.32/45.22 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB15, bitIndex2)) | v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15))),
% 72.32/45.22 inference(transitivity,[status(thm)],[3347, 3345])).
% 72.32/45.22 tff(3349,plain,
% 72.32/45.22 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex2)))),
% 72.32/45.22 inference(quant_inst,[status(thm)],[])).
% 72.32/45.22 tff(3350,plain,
% 72.32/45.22 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB15, bitIndex2)) | v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15)),
% 72.32/45.22 inference(modus_ponens,[status(thm)],[3349, 3348])).
% 72.32/45.22 tff(3351,plain,
% 72.32/45.22 (v121(constB15)),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[3350, 1955, 3344, 3340, 3336, 3330, 3325, 3321])).
% 72.32/45.22 tff(3352,plain,
% 72.32/45.22 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB15)) | (~v130(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB15)) | (~v130(constB15, bitIndex2)))),
% 72.32/45.22 inference(rewrite,[status(thm)],[])).
% 72.32/45.22 tff(3353,plain,
% 72.32/45.22 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB15)) | (~v130(constB15, bitIndex2)))),
% 72.32/45.22 inference(quant_inst,[status(thm)],[])).
% 72.32/45.22 tff(3354,plain,
% 72.32/45.22 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB15)) | (~v130(constB15, bitIndex2))),
% 72.32/45.22 inference(modus_ponens,[status(thm)],[3353, 3352])).
% 72.32/45.22 tff(3355,plain,
% 72.32/45.22 ($false),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[3354, 1059, 3330, 3351])).
% 72.32/45.22 tff(3356,plain,((~v100(constB16)) | (~v90(constB16, bitIndex2)) | (~v90(constB16, bitIndex0)) | (~v90(constB16, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 72.32/45.22 tff(3357,plain,
% 72.32/45.22 (~v100(constB16)),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[3356, 3292, 3282, 3283])).
% 72.32/45.22 tff(3358,plain,
% 72.32/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB15, bitIndex0) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB15, bitIndex0) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex0)))),
% 72.32/45.22 inference(rewrite,[status(thm)],[])).
% 72.32/45.22 tff(3359,plain,
% 72.32/45.22 (((~nextState(constB15, constB16)) | v90(constB15, bitIndex0) | v100(constB16) | (~v90(constB16, bitIndex0))) <=> (v90(constB15, bitIndex0) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex0)))),
% 72.32/45.22 inference(rewrite,[status(thm)],[])).
% 72.32/45.22 tff(3360,plain,
% 72.32/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB15, constB16)) | v90(constB15, bitIndex0) | v100(constB16) | (~v90(constB16, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB15, bitIndex0) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex0))))),
% 72.32/45.22 inference(monotonicity,[status(thm)],[3359])).
% 72.32/45.22 tff(3361,plain,
% 72.32/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB15, constB16)) | v90(constB15, bitIndex0) | v100(constB16) | (~v90(constB16, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB15, bitIndex0) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex0)))),
% 72.32/45.22 inference(transitivity,[status(thm)],[3360, 3358])).
% 72.32/45.22 tff(3362,plain,
% 72.32/45.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB15, constB16)) | v90(constB15, bitIndex0) | v100(constB16) | (~v90(constB16, bitIndex0)))),
% 72.32/45.22 inference(quant_inst,[status(thm)],[])).
% 72.32/45.22 tff(3363,plain,
% 72.32/45.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB15, bitIndex0) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex0))),
% 72.32/45.22 inference(modus_ponens,[status(thm)],[3362, 3361])).
% 72.32/45.22 tff(3364,plain,
% 72.32/45.22 (v90(constB15, bitIndex0) | v100(constB16) | (~v90(constB16, bitIndex0))),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[3363, 130, 2275])).
% 72.32/45.22 tff(3365,plain,
% 72.32/45.22 (v90(constB15, bitIndex0)),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[3364, 3357, 3282])).
% 72.32/45.22 tff(3366,plain,
% 72.32/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0)))),
% 72.32/45.22 inference(rewrite,[status(thm)],[])).
% 72.32/45.22 tff(3367,plain,
% 72.32/45.22 (((~nextState(constB14, constB15)) | v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0))) <=> (v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0)))),
% 72.32/45.22 inference(rewrite,[status(thm)],[])).
% 72.32/45.22 tff(3368,plain,
% 72.32/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0))))),
% 72.32/45.22 inference(monotonicity,[status(thm)],[3367])).
% 72.32/45.22 tff(3369,plain,
% 72.32/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0)))),
% 72.32/45.22 inference(transitivity,[status(thm)],[3368, 3366])).
% 72.32/45.22 tff(3370,plain,
% 72.32/45.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB14, constB15)) | v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0)))),
% 72.32/45.22 inference(quant_inst,[status(thm)],[])).
% 72.32/45.22 tff(3371,plain,
% 72.32/45.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0))),
% 72.32/45.22 inference(modus_ponens,[status(thm)],[3370, 3369])).
% 72.32/45.22 tff(3372,plain,
% 72.32/45.22 (v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0))),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[3371, 130, 2115])).
% 72.32/45.22 tff(3373,plain,
% 72.32/45.22 (v90(constB14, bitIndex0) | (~v90(constB15, bitIndex0))),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[3372, 2127])).
% 72.32/45.22 tff(3374,plain,
% 72.32/45.22 (v90(constB14, bitIndex0)),
% 72.32/45.22 inference(unit_resolution,[status(thm)],[3373, 3365])).
% 72.32/45.22 tff(3375,plain,
% 72.32/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB15, bitIndex1) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB15, bitIndex1) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex1)))),
% 72.40/45.22 inference(rewrite,[status(thm)],[])).
% 72.40/45.22 tff(3376,plain,
% 72.40/45.22 (((~nextState(constB15, constB16)) | v90(constB15, bitIndex1) | v100(constB16) | (~v90(constB16, bitIndex1))) <=> (v90(constB15, bitIndex1) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex1)))),
% 72.40/45.22 inference(rewrite,[status(thm)],[])).
% 72.40/45.22 tff(3377,plain,
% 72.40/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB15, constB16)) | v90(constB15, bitIndex1) | v100(constB16) | (~v90(constB16, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB15, bitIndex1) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex1))))),
% 72.40/45.22 inference(monotonicity,[status(thm)],[3376])).
% 72.40/45.22 tff(3378,plain,
% 72.40/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB15, constB16)) | v90(constB15, bitIndex1) | v100(constB16) | (~v90(constB16, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB15, bitIndex1) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex1)))),
% 72.40/45.22 inference(transitivity,[status(thm)],[3377, 3375])).
% 72.40/45.22 tff(3379,plain,
% 72.40/45.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB15, constB16)) | v90(constB15, bitIndex1) | v100(constB16) | (~v90(constB16, bitIndex1)))),
% 72.40/45.22 inference(quant_inst,[status(thm)],[])).
% 72.40/45.22 tff(3380,plain,
% 72.40/45.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB15, bitIndex1) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex1))),
% 72.40/45.22 inference(modus_ponens,[status(thm)],[3379, 3378])).
% 72.40/45.22 tff(3381,plain,
% 72.40/45.22 (v90(constB15, bitIndex1) | v100(constB16) | (~v90(constB16, bitIndex1))),
% 72.40/45.22 inference(unit_resolution,[status(thm)],[3380, 109, 2275])).
% 72.40/45.22 tff(3382,plain,
% 72.40/45.22 (v90(constB15, bitIndex1)),
% 72.40/45.22 inference(unit_resolution,[status(thm)],[3381, 3357, 3283])).
% 72.40/45.22 tff(3383,plain,
% 72.40/45.22 (v90(constB14, bitIndex1)),
% 72.40/45.22 inference(unit_resolution,[status(thm)],[2181, 3382])).
% 72.40/45.22 tff(3384,plain,
% 72.40/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB15, bitIndex2) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB15, bitIndex2) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex2)))),
% 72.40/45.22 inference(rewrite,[status(thm)],[])).
% 72.40/45.22 tff(3385,plain,
% 72.40/45.22 (((~nextState(constB15, constB16)) | v90(constB15, bitIndex2) | v100(constB16) | (~v90(constB16, bitIndex2))) <=> (v90(constB15, bitIndex2) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex2)))),
% 72.40/45.22 inference(rewrite,[status(thm)],[])).
% 72.40/45.22 tff(3386,plain,
% 72.40/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v90(constB15, bitIndex2) | v100(constB16) | (~v90(constB16, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB15, bitIndex2) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex2))))),
% 72.40/45.22 inference(monotonicity,[status(thm)],[3385])).
% 72.40/45.22 tff(3387,plain,
% 72.40/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v90(constB15, bitIndex2) | v100(constB16) | (~v90(constB16, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB15, bitIndex2) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex2)))),
% 72.40/45.22 inference(transitivity,[status(thm)],[3386, 3384])).
% 72.40/45.22 tff(3388,plain,
% 72.40/45.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v90(constB15, bitIndex2) | v100(constB16) | (~v90(constB16, bitIndex2)))),
% 72.40/45.22 inference(quant_inst,[status(thm)],[])).
% 72.40/45.22 tff(3389,plain,
% 72.40/45.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB15, bitIndex2) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex2))),
% 72.40/45.22 inference(modus_ponens,[status(thm)],[3388, 3387])).
% 72.40/45.22 tff(3390,plain,
% 72.40/45.22 (v90(constB15, bitIndex2) | v100(constB16) | (~v90(constB16, bitIndex2))),
% 72.40/45.22 inference(unit_resolution,[status(thm)],[3389, 88, 2275])).
% 72.40/45.22 tff(3391,plain,
% 72.40/45.22 (v90(constB15, bitIndex2)),
% 72.40/45.22 inference(unit_resolution,[status(thm)],[3390, 3357, 3292])).
% 72.40/45.22 tff(3392,plain,
% 72.40/45.22 (v90(constB14, bitIndex2)),
% 72.40/45.22 inference(unit_resolution,[status(thm)],[2135, 3391])).
% 72.40/45.22 tff(3393,assumption,(v100(constB14)), introduced(assumption)).
% 72.40/45.22 tff(3394,assumption,(v90(constB14, bitIndex0)), introduced(assumption)).
% 72.40/45.22 tff(3395,plain,
% 72.40/45.22 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14)))),
% 72.40/45.22 inference(rewrite,[status(thm)],[])).
% 72.40/45.22 tff(3396,plain,
% 72.40/45.22 (((~v90(constB14, bitIndex0)) | (~v100(constB14)) | v129(constB14, bitIndex0)) <=> ((~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14)))),
% 72.40/45.22 inference(rewrite,[status(thm)],[])).
% 72.40/45.22 tff(3397,plain,
% 72.40/45.22 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | (~v100(constB14)) | v129(constB14, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14))))),
% 72.40/45.22 inference(monotonicity,[status(thm)],[3396])).
% 72.40/45.22 tff(3398,plain,
% 72.40/45.22 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | (~v100(constB14)) | v129(constB14, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14)))),
% 72.40/45.22 inference(transitivity,[status(thm)],[3397, 3395])).
% 72.40/45.22 tff(3399,plain,
% 72.40/45.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | (~v100(constB14)) | v129(constB14, bitIndex0))),
% 72.40/45.22 inference(quant_inst,[status(thm)],[])).
% 72.40/45.22 tff(3400,plain,
% 72.40/45.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14))),
% 72.40/45.22 inference(modus_ponens,[status(thm)],[3399, 3398])).
% 72.40/45.22 tff(3401,plain,
% 72.40/45.22 (v129(constB14, bitIndex0) | (~v100(constB14))),
% 72.40/45.22 inference(unit_resolution,[status(thm)],[3400, 938, 3394])).
% 72.40/45.22 tff(3402,plain,
% 72.40/45.22 (v129(constB14, bitIndex0)),
% 72.40/45.22 inference(unit_resolution,[status(thm)],[3401, 3393])).
% 72.40/45.22 tff(3403,plain,
% 72.40/45.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0)))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3404,plain,
% 72.40/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0)))),
% 72.40/45.23 inference(quant_inst,[status(thm)],[])).
% 72.40/45.23 tff(3405,plain,
% 72.40/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0))),
% 72.40/45.23 inference(modus_ponens,[status(thm)],[3404, 3403])).
% 72.40/45.23 tff(3406,plain,
% 72.40/45.23 (v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0))),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3405, 923, 1977])).
% 72.40/45.23 tff(3407,plain,
% 72.40/45.23 (v127(constB13, bitIndex0)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3406, 3402])).
% 72.40/45.23 tff(3408,plain,
% 72.40/45.23 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))))),
% 72.40/45.23 inference(bind,[status(th)],[])).
% 72.40/45.23 tff(3409,plain,
% 72.40/45.23 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 72.40/45.23 inference(quant_intro,[status(thm)],[3408])).
% 72.40/45.23 tff(3410,plain,
% 72.40/45.23 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3411,plain,
% 72.40/45.23 (^[VarCurr: $i] : rewrite(((~v127(VarCurr, bitIndex0)) | (~v26(VarCurr))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))))),
% 72.40/45.23 inference(bind,[status(th)],[])).
% 72.40/45.23 tff(3412,plain,
% 72.40/45.23 (![VarCurr: $i] : ((~v127(VarCurr, bitIndex0)) | (~v26(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 72.40/45.23 inference(quant_intro,[status(thm)],[3411])).
% 72.40/45.23 tff(3413,axiom,(![VarCurr: $i] : ((~v127(VarCurr, bitIndex0)) | (~v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_1')).
% 72.40/45.23 tff(3414,plain,
% 72.40/45.23 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 72.40/45.23 inference(modus_ponens,[status(thm)],[3413, 3412])).
% 72.40/45.23 tff(3415,plain,
% 72.40/45.23 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 72.40/45.23 inference(modus_ponens,[status(thm)],[3414, 3410])).
% 72.40/45.23 tff(3416,plain,(
% 72.40/45.23 ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 72.40/45.23 inference(skolemize,[status(sab)],[3415])).
% 72.40/45.23 tff(3417,plain,
% 72.40/45.23 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 72.40/45.23 inference(modus_ponens,[status(thm)],[3416, 3409])).
% 72.40/45.23 tff(3418,plain,
% 72.40/45.23 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB13)) | (~v127(constB13, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB13)) | (~v127(constB13, bitIndex0)))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3419,plain,
% 72.40/45.23 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB13)) | (~v127(constB13, bitIndex0)))),
% 72.40/45.23 inference(quant_inst,[status(thm)],[])).
% 72.40/45.23 tff(3420,plain,
% 72.40/45.23 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB13)) | (~v127(constB13, bitIndex0))),
% 72.40/45.23 inference(modus_ponens,[status(thm)],[3419, 3418])).
% 72.40/45.23 tff(3421,plain,
% 72.40/45.23 (~v26(constB13)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3420, 3417, 3407])).
% 72.40/45.23 tff(3422,assumption,(v90(constB14, bitIndex1)), introduced(assumption)).
% 72.40/45.23 tff(3423,plain,
% 72.40/45.23 (v129(constB14, bitIndex1) | (~v100(constB14))),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[2172, 603, 3422])).
% 72.40/45.23 tff(3424,plain,
% 72.40/45.23 (v129(constB14, bitIndex1)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3423, 3393])).
% 72.40/45.23 tff(3425,plain,
% 72.40/45.23 (v127(constB13, bitIndex1)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[2165, 3424])).
% 72.40/45.23 tff(3426,plain,
% 72.40/45.23 (v130(constB13, bitIndex1)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[2159, 555, 3425, 3421])).
% 72.40/45.23 tff(3427,plain,
% 72.40/45.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB13, bitIndex0)) | v26(constB13) | v130(constB13, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB13, bitIndex0)) | v26(constB13) | v130(constB13, bitIndex0))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3428,plain,
% 72.40/45.23 ((v26(constB13) | v130(constB13, bitIndex0) | (~v127(constB13, bitIndex0))) <=> ((~v127(constB13, bitIndex0)) | v26(constB13) | v130(constB13, bitIndex0))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3429,plain,
% 72.40/45.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB13) | v130(constB13, bitIndex0) | (~v127(constB13, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB13, bitIndex0)) | v26(constB13) | v130(constB13, bitIndex0)))),
% 72.40/45.23 inference(monotonicity,[status(thm)],[3428])).
% 72.40/45.23 tff(3430,plain,
% 72.40/45.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB13) | v130(constB13, bitIndex0) | (~v127(constB13, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB13, bitIndex0)) | v26(constB13) | v130(constB13, bitIndex0))),
% 72.40/45.23 inference(transitivity,[status(thm)],[3429, 3427])).
% 72.40/45.23 tff(3431,plain,
% 72.40/45.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB13) | v130(constB13, bitIndex0) | (~v127(constB13, bitIndex0)))),
% 72.40/45.23 inference(quant_inst,[status(thm)],[])).
% 72.40/45.23 tff(3432,plain,
% 72.40/45.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB13, bitIndex0)) | v26(constB13) | v130(constB13, bitIndex0)),
% 72.40/45.23 inference(modus_ponens,[status(thm)],[3431, 3430])).
% 72.40/45.23 tff(3433,plain,
% 72.40/45.23 (v130(constB13, bitIndex0)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3432, 905, 3407, 3421])).
% 72.40/45.23 tff(3434,plain,
% 72.40/45.23 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB13)) | (~v130(constB13, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB13)) | (~v130(constB13, bitIndex0)))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3435,plain,
% 72.40/45.23 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB13)) | (~v130(constB13, bitIndex0)))),
% 72.40/45.23 inference(quant_inst,[status(thm)],[])).
% 72.40/45.23 tff(3436,plain,
% 72.40/45.23 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB13)) | (~v130(constB13, bitIndex0))),
% 72.40/45.23 inference(modus_ponens,[status(thm)],[3435, 3434])).
% 72.40/45.23 tff(3437,plain,
% 72.40/45.23 (~v122(constB13)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3436, 1433, 3433])).
% 72.40/45.23 tff(3438,assumption,(v90(constB14, bitIndex2)), introduced(assumption)).
% 72.40/45.23 tff(3439,plain,
% 72.40/45.23 (v129(constB14, bitIndex2) | (~v100(constB14))),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[2108, 503, 3438])).
% 72.40/45.23 tff(3440,plain,
% 72.40/45.23 (v129(constB14, bitIndex2)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3439, 3393])).
% 72.40/45.23 tff(3441,plain,
% 72.40/45.23 (v127(constB13, bitIndex2)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[1981, 3440])).
% 72.40/45.23 tff(3442,plain,
% 72.40/45.23 (v130(constB13, bitIndex2)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[1972, 470, 3441, 3421])).
% 72.40/45.23 tff(3443,plain,
% 72.40/45.23 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB13)) | (~v130(constB13, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB13)) | (~v130(constB13, bitIndex2)))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3444,plain,
% 72.40/45.23 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB13)) | (~v130(constB13, bitIndex2)))),
% 72.40/45.23 inference(quant_inst,[status(thm)],[])).
% 72.40/45.23 tff(3445,plain,
% 72.40/45.23 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB13)) | (~v130(constB13, bitIndex2))),
% 72.40/45.23 inference(modus_ponens,[status(thm)],[3444, 3443])).
% 72.40/45.23 tff(3446,plain,
% 72.40/45.23 (~v121(constB13)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3445, 1059, 3442])).
% 72.40/45.23 tff(3447,assumption,(~v90(constB13, bitIndex1)), introduced(assumption)).
% 72.40/45.23 tff(3448,plain,
% 72.40/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB13, bitIndex1) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB13, bitIndex1) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex1)))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3449,plain,
% 72.40/45.23 (((~nextState(constB13, constB14)) | v90(constB13, bitIndex1) | v100(constB14) | (~v90(constB14, bitIndex1))) <=> (v90(constB13, bitIndex1) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex1)))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3450,plain,
% 72.40/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB13, constB14)) | v90(constB13, bitIndex1) | v100(constB14) | (~v90(constB14, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB13, bitIndex1) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex1))))),
% 72.40/45.23 inference(monotonicity,[status(thm)],[3449])).
% 72.40/45.23 tff(3451,plain,
% 72.40/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB13, constB14)) | v90(constB13, bitIndex1) | v100(constB14) | (~v90(constB14, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB13, bitIndex1) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex1)))),
% 72.40/45.23 inference(transitivity,[status(thm)],[3450, 3448])).
% 72.40/45.23 tff(3452,plain,
% 72.40/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB13, constB14)) | v90(constB13, bitIndex1) | v100(constB14) | (~v90(constB14, bitIndex1)))),
% 72.40/45.23 inference(quant_inst,[status(thm)],[])).
% 72.40/45.23 tff(3453,plain,
% 72.40/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB13, bitIndex1) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex1))),
% 72.40/45.23 inference(modus_ponens,[status(thm)],[3452, 3451])).
% 72.40/45.23 tff(3454,plain,
% 72.40/45.23 (v90(constB13, bitIndex1) | v100(constB14) | (~v90(constB14, bitIndex1))),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3453, 109, 1977])).
% 72.40/45.23 tff(3455,plain,
% 72.40/45.23 (v100(constB14)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3454, 3447, 3422])).
% 72.40/45.23 tff(3456,plain,
% 72.40/45.23 (v129(constB14, bitIndex0)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3401, 3455])).
% 72.40/45.23 tff(3457,plain,
% 72.40/45.23 (v127(constB13, bitIndex0)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3406, 3456])).
% 72.40/45.23 tff(3458,plain,
% 72.40/45.23 (~v26(constB13)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3420, 3417, 3457])).
% 72.40/45.23 tff(3459,plain,
% 72.40/45.23 (v129(constB14, bitIndex1)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3423, 3455])).
% 72.40/45.23 tff(3460,plain,
% 72.40/45.23 (v127(constB13, bitIndex1)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[2165, 3459])).
% 72.40/45.23 tff(3461,plain,
% 72.40/45.23 (v130(constB13, bitIndex1)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[2159, 555, 3460, 3458])).
% 72.40/45.23 tff(3462,plain,
% 72.40/45.23 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB13)) | (~v130(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB13)) | (~v130(constB13, bitIndex1)))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3463,plain,
% 72.40/45.23 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB13)) | (~v130(constB13, bitIndex1)))),
% 72.40/45.23 inference(quant_inst,[status(thm)],[])).
% 72.40/45.23 tff(3464,plain,
% 72.40/45.23 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB13)) | (~v130(constB13, bitIndex1))),
% 72.40/45.23 inference(modus_ponens,[status(thm)],[3463, 3462])).
% 72.40/45.23 tff(3465,plain,
% 72.40/45.23 (~v119(constB13)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3464, 541, 3461])).
% 72.40/45.23 tff(3466,plain,
% 72.40/45.23 (v130(constB13, bitIndex0)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3432, 905, 3457, 3458])).
% 72.40/45.23 tff(3467,plain,
% 72.40/45.23 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB13)) | (~v130(constB13, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB13)) | (~v130(constB13, bitIndex0)))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3468,plain,
% 72.40/45.23 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB13)) | (~v130(constB13, bitIndex0)))),
% 72.40/45.23 inference(quant_inst,[status(thm)],[])).
% 72.40/45.23 tff(3469,plain,
% 72.40/45.23 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB13)) | (~v130(constB13, bitIndex0))),
% 72.40/45.23 inference(modus_ponens,[status(thm)],[3468, 3467])).
% 72.40/45.23 tff(3470,plain,
% 72.40/45.23 (~v120(constB13)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3469, 891, 3466])).
% 72.40/45.23 tff(3471,plain,
% 72.40/45.23 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB13, bitIndex1) | (~v121(constB13)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB13, bitIndex1) | (~v121(constB13)))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3472,plain,
% 72.40/45.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB13, bitIndex1) | (~v121(constB13)))),
% 72.40/45.23 inference(quant_inst,[status(thm)],[])).
% 72.40/45.23 tff(3473,plain,
% 72.40/45.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB13, bitIndex1) | (~v121(constB13))),
% 72.40/45.23 inference(modus_ponens,[status(thm)],[3472, 3471])).
% 72.40/45.23 tff(3474,plain,
% 72.40/45.23 (~v121(constB13)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3473, 3190, 3447])).
% 72.40/45.23 tff(3475,plain,
% 72.40/45.23 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB13, bitIndex1) | (~v122(constB13)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB13, bitIndex1) | (~v122(constB13)))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3476,plain,
% 72.40/45.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB13, bitIndex1) | (~v122(constB13)))),
% 72.40/45.23 inference(quant_inst,[status(thm)],[])).
% 72.40/45.23 tff(3477,plain,
% 72.40/45.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB13, bitIndex1) | (~v122(constB13))),
% 72.40/45.23 inference(modus_ponens,[status(thm)],[3476, 3475])).
% 72.40/45.23 tff(3478,plain,
% 72.40/45.23 (~v122(constB13)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3477, 3201, 3447])).
% 72.40/45.23 tff(3479,plain,
% 72.40/45.23 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB13)) | (~v130(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB13)) | (~v130(constB13, bitIndex1)))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3480,plain,
% 72.40/45.23 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB13)) | (~v130(constB13, bitIndex1)))),
% 72.40/45.23 inference(quant_inst,[status(thm)],[])).
% 72.40/45.23 tff(3481,plain,
% 72.40/45.23 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB13)) | (~v130(constB13, bitIndex1))),
% 72.40/45.23 inference(modus_ponens,[status(thm)],[3480, 3479])).
% 72.40/45.23 tff(3482,plain,
% 72.40/45.23 (~v123(constB13)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3481, 1622, 3461])).
% 72.40/45.23 tff(3483,plain,
% 72.40/45.23 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB13)) | (~v130(constB13, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB13)) | (~v130(constB13, bitIndex0)))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3484,plain,
% 72.40/45.23 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB13)) | (~v130(constB13, bitIndex0)))),
% 72.40/45.23 inference(quant_inst,[status(thm)],[])).
% 72.40/45.23 tff(3485,plain,
% 72.40/45.23 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB13)) | (~v130(constB13, bitIndex0))),
% 72.40/45.23 inference(modus_ponens,[status(thm)],[3484, 3483])).
% 72.40/45.23 tff(3486,plain,
% 72.40/45.23 (~v124(constB13)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3485, 1992, 3466])).
% 72.40/45.23 tff(3487,plain,
% 72.40/45.23 (v129(constB14, bitIndex2)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3439, 3455])).
% 72.40/45.23 tff(3488,plain,
% 72.40/45.23 (v127(constB13, bitIndex2)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[1981, 3487])).
% 72.40/45.23 tff(3489,plain,
% 72.40/45.23 (v130(constB13, bitIndex2)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[1972, 470, 3488, 3458])).
% 72.40/45.23 tff(3490,plain,
% 72.40/45.23 ($false),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[1961, 1955, 3489, 3486, 3482, 3478, 3474, 3470, 3465])).
% 72.40/45.23 tff(3491,plain,(v90(constB13, bitIndex1) | (~v90(constB14, bitIndex2)) | (~v90(constB14, bitIndex1)) | (~v90(constB14, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.40/45.23 tff(3492,plain,
% 72.40/45.23 (v90(constB13, bitIndex1)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3491, 3438, 3422, 3394])).
% 72.40/45.23 tff(3493,plain,
% 72.40/45.23 (~v119(constB13)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[1911, 1908, 3492])).
% 72.40/45.23 tff(3494,plain,
% 72.40/45.23 (~v120(constB13)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[1922, 1919, 3492])).
% 72.40/45.23 tff(3495,plain,
% 72.40/45.23 (~v123(constB13)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[1933, 1930, 3492])).
% 72.40/45.23 tff(3496,plain,
% 72.40/45.23 (~v124(constB13)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[1944, 1941, 3492])).
% 72.40/45.23 tff(3497,plain,
% 72.40/45.23 (v122(constB13) | v121(constB13) | (~v130(constB13, bitIndex1))),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[2152, 2146, 3496, 3495, 3494, 3493])).
% 72.40/45.23 tff(3498,plain,
% 72.40/45.23 ($false),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3497, 3446, 3437, 3426])).
% 72.40/45.23 tff(3499,plain,((~v100(constB14)) | (~v90(constB14, bitIndex2)) | (~v90(constB14, bitIndex1)) | (~v90(constB14, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.40/45.23 tff(3500,plain,
% 72.40/45.23 (~v100(constB14)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3499, 3392, 3383, 3374])).
% 72.40/45.23 tff(3501,plain,
% 72.40/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB13, bitIndex0) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB13, bitIndex0) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex0)))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3502,plain,
% 72.40/45.23 (((~nextState(constB13, constB14)) | v90(constB13, bitIndex0) | v100(constB14) | (~v90(constB14, bitIndex0))) <=> (v90(constB13, bitIndex0) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex0)))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3503,plain,
% 72.40/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v90(constB13, bitIndex0) | v100(constB14) | (~v90(constB14, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB13, bitIndex0) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex0))))),
% 72.40/45.23 inference(monotonicity,[status(thm)],[3502])).
% 72.40/45.23 tff(3504,plain,
% 72.40/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v90(constB13, bitIndex0) | v100(constB14) | (~v90(constB14, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB13, bitIndex0) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex0)))),
% 72.40/45.23 inference(transitivity,[status(thm)],[3503, 3501])).
% 72.40/45.23 tff(3505,plain,
% 72.40/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v90(constB13, bitIndex0) | v100(constB14) | (~v90(constB14, bitIndex0)))),
% 72.40/45.23 inference(quant_inst,[status(thm)],[])).
% 72.40/45.23 tff(3506,plain,
% 72.40/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB13, bitIndex0) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex0))),
% 72.40/45.23 inference(modus_ponens,[status(thm)],[3505, 3504])).
% 72.40/45.23 tff(3507,plain,
% 72.40/45.23 (v90(constB13, bitIndex0) | v100(constB14) | (~v90(constB14, bitIndex0))),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3506, 130, 1977])).
% 72.40/45.23 tff(3508,plain,
% 72.40/45.23 (v90(constB13, bitIndex0)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3507, 3500, 3374])).
% 72.40/45.23 tff(3509,plain,
% 72.40/45.23 (v90(constB12, bitIndex0)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[2025, 3508])).
% 72.40/45.23 tff(3510,plain,
% 72.40/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB13, bitIndex2) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB13, bitIndex2) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex2)))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3511,plain,
% 72.40/45.23 (((~nextState(constB13, constB14)) | v90(constB13, bitIndex2) | v100(constB14) | (~v90(constB14, bitIndex2))) <=> (v90(constB13, bitIndex2) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex2)))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3512,plain,
% 72.40/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB13, constB14)) | v90(constB13, bitIndex2) | v100(constB14) | (~v90(constB14, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB13, bitIndex2) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex2))))),
% 72.40/45.23 inference(monotonicity,[status(thm)],[3511])).
% 72.40/45.23 tff(3513,plain,
% 72.40/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB13, constB14)) | v90(constB13, bitIndex2) | v100(constB14) | (~v90(constB14, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB13, bitIndex2) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex2)))),
% 72.40/45.23 inference(transitivity,[status(thm)],[3512, 3510])).
% 72.40/45.23 tff(3514,plain,
% 72.40/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB13, constB14)) | v90(constB13, bitIndex2) | v100(constB14) | (~v90(constB14, bitIndex2)))),
% 72.40/45.23 inference(quant_inst,[status(thm)],[])).
% 72.40/45.23 tff(3515,plain,
% 72.40/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB13, bitIndex2) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex2))),
% 72.40/45.23 inference(modus_ponens,[status(thm)],[3514, 3513])).
% 72.40/45.23 tff(3516,plain,
% 72.40/45.23 (v90(constB13, bitIndex2) | v100(constB14) | (~v90(constB14, bitIndex2))),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3515, 88, 1977])).
% 72.40/45.23 tff(3517,plain,
% 72.40/45.23 (v90(constB13, bitIndex2)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3516, 3500, 3392])).
% 72.40/45.23 tff(3518,plain,
% 72.40/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB12, bitIndex2) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex2)))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3519,plain,
% 72.40/45.23 (((~nextState(constB12, constB13)) | v90(constB12, bitIndex2) | v100(constB13) | (~v90(constB13, bitIndex2))) <=> (v90(constB12, bitIndex2) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex2)))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3520,plain,
% 72.40/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex2) | v100(constB13) | (~v90(constB13, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex2))))),
% 72.40/45.23 inference(monotonicity,[status(thm)],[3519])).
% 72.40/45.23 tff(3521,plain,
% 72.40/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex2) | v100(constB13) | (~v90(constB13, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB12, bitIndex2) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex2)))),
% 72.40/45.23 inference(transitivity,[status(thm)],[3520, 3518])).
% 72.40/45.23 tff(3522,plain,
% 72.40/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex2) | v100(constB13) | (~v90(constB13, bitIndex2)))),
% 72.40/45.23 inference(quant_inst,[status(thm)],[])).
% 72.40/45.23 tff(3523,plain,
% 72.40/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB12, bitIndex2) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex2))),
% 72.40/45.23 inference(modus_ponens,[status(thm)],[3522, 3521])).
% 72.40/45.23 tff(3524,plain,
% 72.40/45.23 (v90(constB12, bitIndex2) | v100(constB13) | (~v90(constB13, bitIndex2))),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3523, 88, 1814])).
% 72.40/45.23 tff(3525,plain,
% 72.40/45.23 (v90(constB12, bitIndex2) | (~v90(constB13, bitIndex2))),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3524, 1826])).
% 72.40/45.23 tff(3526,plain,
% 72.40/45.23 (v90(constB12, bitIndex2)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3525, 3517])).
% 72.40/45.23 tff(3527,assumption,(~v100(constB16)), introduced(assumption)).
% 72.40/45.23 tff(3528,plain,
% 72.40/45.23 (v90(constB15, bitIndex0)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3364, 3527, 3331])).
% 72.40/45.23 tff(3529,plain,
% 72.40/45.23 (v90(constB14, bitIndex0)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3373, 3528])).
% 72.40/45.23 tff(3530,plain,
% 72.40/45.23 (v90(constB15, bitIndex2)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3390, 3527, 3326])).
% 72.40/45.23 tff(3531,plain,
% 72.40/45.23 (v90(constB14, bitIndex2)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[2135, 3530])).
% 72.40/45.23 tff(3532,assumption,(~v90(constB9, bitIndex0)), introduced(assumption)).
% 72.40/45.23 tff(3533,plain,
% 72.40/45.23 (v90(constB15, bitIndex1)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3381, 3527, 3283])).
% 72.40/45.23 tff(3534,plain,
% 72.40/45.23 (v90(constB14, bitIndex1)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[2181, 3533])).
% 72.40/45.23 tff(3535,plain,
% 72.40/45.23 (v90(constB13, bitIndex1)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3491, 3531, 3534, 3529])).
% 72.40/45.23 tff(3536,plain,
% 72.40/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex1)))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3537,plain,
% 72.40/45.23 (((~nextState(constB12, constB13)) | v90(constB12, bitIndex1) | v100(constB13) | (~v90(constB13, bitIndex1))) <=> (v90(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex1)))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3538,plain,
% 72.40/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex1) | v100(constB13) | (~v90(constB13, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex1))))),
% 72.40/45.23 inference(monotonicity,[status(thm)],[3537])).
% 72.40/45.23 tff(3539,plain,
% 72.40/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex1) | v100(constB13) | (~v90(constB13, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex1)))),
% 72.40/45.23 inference(transitivity,[status(thm)],[3538, 3536])).
% 72.40/45.23 tff(3540,plain,
% 72.40/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB12, constB13)) | v90(constB12, bitIndex1) | v100(constB13) | (~v90(constB13, bitIndex1)))),
% 72.40/45.23 inference(quant_inst,[status(thm)],[])).
% 72.40/45.23 tff(3541,plain,
% 72.40/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex1))),
% 72.40/45.23 inference(modus_ponens,[status(thm)],[3540, 3539])).
% 72.40/45.23 tff(3542,plain,
% 72.40/45.23 (v90(constB12, bitIndex1) | v100(constB13) | (~v90(constB13, bitIndex1))),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3541, 109, 1814])).
% 72.40/45.23 tff(3543,plain,
% 72.40/45.23 (v90(constB12, bitIndex1) | (~v90(constB13, bitIndex1))),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3542, 1826])).
% 72.40/45.23 tff(3544,plain,
% 72.40/45.23 (v90(constB12, bitIndex1)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3543, 3535])).
% 72.40/45.23 tff(3545,assumption,(~v100(constB14)), introduced(assumption)).
% 72.40/45.23 tff(3546,plain,
% 72.40/45.23 (v90(constB13, bitIndex0)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3507, 3545, 3394])).
% 72.40/45.23 tff(3547,plain,
% 72.40/45.23 (v90(constB12, bitIndex0)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[2025, 3546])).
% 72.40/45.23 tff(3548,plain,
% 72.40/45.23 (v90(constB13, bitIndex2)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3516, 3545, 3438])).
% 72.40/45.23 tff(3549,plain,
% 72.40/45.23 (v90(constB12, bitIndex2)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3525, 3548])).
% 72.40/45.23 tff(3550,assumption,(v90(constB12, bitIndex1)), introduced(assumption)).
% 72.40/45.23 tff(3551,assumption,(~v90(constB11, bitIndex1)), introduced(assumption)).
% 72.40/45.23 tff(3552,plain,
% 72.40/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB11, bitIndex1) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB11, bitIndex1) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex1)))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3553,plain,
% 72.40/45.23 (((~nextState(constB11, constB12)) | v90(constB11, bitIndex1) | v100(constB12) | (~v90(constB12, bitIndex1))) <=> (v90(constB11, bitIndex1) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex1)))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3554,plain,
% 72.40/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB11, constB12)) | v90(constB11, bitIndex1) | v100(constB12) | (~v90(constB12, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB11, bitIndex1) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex1))))),
% 72.40/45.23 inference(monotonicity,[status(thm)],[3553])).
% 72.40/45.23 tff(3555,plain,
% 72.40/45.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB11, constB12)) | v90(constB11, bitIndex1) | v100(constB12) | (~v90(constB12, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB11, bitIndex1) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex1)))),
% 72.40/45.23 inference(transitivity,[status(thm)],[3554, 3552])).
% 72.40/45.23 tff(3556,plain,
% 72.40/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB11, constB12)) | v90(constB11, bitIndex1) | v100(constB12) | (~v90(constB12, bitIndex1)))),
% 72.40/45.23 inference(quant_inst,[status(thm)],[])).
% 72.40/45.23 tff(3557,plain,
% 72.40/45.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB11, bitIndex1) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex1))),
% 72.40/45.23 inference(modus_ponens,[status(thm)],[3556, 3555])).
% 72.40/45.23 tff(3558,plain,
% 72.40/45.23 (v90(constB11, bitIndex1) | v100(constB12) | (~v90(constB12, bitIndex1))),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3557, 109, 1742])).
% 72.40/45.23 tff(3559,plain,
% 72.40/45.23 (v100(constB12)),
% 72.40/45.23 inference(unit_resolution,[status(thm)],[3558, 3551, 3550])).
% 72.40/45.23 tff(3560,plain,
% 72.40/45.23 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1) | (~v100(constB12)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1) | (~v100(constB12)))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3561,plain,
% 72.40/45.23 (((~v90(constB12, bitIndex1)) | (~v100(constB12)) | v129(constB12, bitIndex1)) <=> ((~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1) | (~v100(constB12)))),
% 72.40/45.23 inference(rewrite,[status(thm)],[])).
% 72.40/45.23 tff(3562,plain,
% 72.40/45.23 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | (~v100(constB12)) | v129(constB12, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1) | (~v100(constB12))))),
% 72.40/45.23 inference(monotonicity,[status(thm)],[3561])).
% 72.40/45.23 tff(3563,plain,
% 72.40/45.23 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | (~v100(constB12)) | v129(constB12, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1) | (~v100(constB12)))),
% 72.40/45.23 inference(transitivity,[status(thm)],[3562, 3560])).
% 72.40/45.24 tff(3564,plain,
% 72.40/45.24 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | (~v100(constB12)) | v129(constB12, bitIndex1))),
% 72.40/45.24 inference(quant_inst,[status(thm)],[])).
% 72.40/45.24 tff(3565,plain,
% 72.40/45.24 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1) | (~v100(constB12))),
% 72.40/45.24 inference(modus_ponens,[status(thm)],[3564, 3563])).
% 72.40/45.24 tff(3566,plain,
% 72.40/45.24 (v129(constB12, bitIndex1) | (~v100(constB12))),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3565, 603, 3550])).
% 72.40/45.24 tff(3567,plain,
% 72.40/45.24 (v129(constB12, bitIndex1)),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3566, 3559])).
% 72.40/45.24 tff(3568,plain,
% 72.40/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex1) | (~v129(constB12, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex1) | (~v129(constB12, bitIndex1)))),
% 72.40/45.24 inference(rewrite,[status(thm)],[])).
% 72.40/45.24 tff(3569,plain,
% 72.40/45.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex1) | (~v129(constB12, bitIndex1)))),
% 72.40/45.24 inference(quant_inst,[status(thm)],[])).
% 72.40/45.24 tff(3570,plain,
% 72.40/45.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex1) | (~v129(constB12, bitIndex1))),
% 72.40/45.24 inference(modus_ponens,[status(thm)],[3569, 3568])).
% 72.40/45.24 tff(3571,plain,
% 72.40/45.24 (v127(constB11, bitIndex1) | (~v129(constB12, bitIndex1))),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3570, 588, 1742])).
% 72.40/45.24 tff(3572,plain,
% 72.40/45.24 (v127(constB11, bitIndex1)),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3571, 3567])).
% 72.40/45.24 tff(3573,plain,
% 72.40/45.24 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB11)) | (~v127(constB11, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB11)) | (~v127(constB11, bitIndex1)))),
% 72.40/45.24 inference(rewrite,[status(thm)],[])).
% 72.40/45.24 tff(3574,plain,
% 72.40/45.24 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB11)) | (~v127(constB11, bitIndex1)))),
% 72.40/45.24 inference(quant_inst,[status(thm)],[])).
% 72.40/45.24 tff(3575,plain,
% 72.40/45.24 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB11)) | (~v127(constB11, bitIndex1))),
% 72.40/45.24 inference(modus_ponens,[status(thm)],[3574, 3573])).
% 72.40/45.24 tff(3576,plain,
% 72.40/45.24 (~v26(constB11)),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3575, 573, 3572])).
% 72.40/45.24 tff(3577,plain,
% 72.40/45.24 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB11, bitIndex1)) | v26(constB11) | v130(constB11, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB11, bitIndex1)) | v26(constB11) | v130(constB11, bitIndex1))),
% 72.40/45.24 inference(rewrite,[status(thm)],[])).
% 72.40/45.24 tff(3578,plain,
% 72.40/45.24 ((v26(constB11) | v130(constB11, bitIndex1) | (~v127(constB11, bitIndex1))) <=> ((~v127(constB11, bitIndex1)) | v26(constB11) | v130(constB11, bitIndex1))),
% 72.40/45.24 inference(rewrite,[status(thm)],[])).
% 72.40/45.24 tff(3579,plain,
% 72.40/45.24 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB11) | v130(constB11, bitIndex1) | (~v127(constB11, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB11, bitIndex1)) | v26(constB11) | v130(constB11, bitIndex1)))),
% 72.40/45.24 inference(monotonicity,[status(thm)],[3578])).
% 72.40/45.24 tff(3580,plain,
% 72.40/45.24 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB11) | v130(constB11, bitIndex1) | (~v127(constB11, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB11, bitIndex1)) | v26(constB11) | v130(constB11, bitIndex1))),
% 72.40/45.24 inference(transitivity,[status(thm)],[3579, 3577])).
% 72.40/45.24 tff(3581,plain,
% 72.40/45.24 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB11) | v130(constB11, bitIndex1) | (~v127(constB11, bitIndex1)))),
% 72.40/45.24 inference(quant_inst,[status(thm)],[])).
% 72.40/45.24 tff(3582,plain,
% 72.40/45.24 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB11, bitIndex1)) | v26(constB11) | v130(constB11, bitIndex1)),
% 72.40/45.24 inference(modus_ponens,[status(thm)],[3581, 3580])).
% 72.40/45.24 tff(3583,plain,
% 72.40/45.24 (v130(constB11, bitIndex1)),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3582, 555, 3572, 3576])).
% 72.40/45.24 tff(3584,plain,
% 72.40/45.24 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB11)) | (~v130(constB11, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB11)) | (~v130(constB11, bitIndex1)))),
% 72.40/45.24 inference(rewrite,[status(thm)],[])).
% 72.40/45.24 tff(3585,plain,
% 72.40/45.24 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB11)) | (~v130(constB11, bitIndex1)))),
% 72.40/45.24 inference(quant_inst,[status(thm)],[])).
% 72.40/45.24 tff(3586,plain,
% 72.40/45.24 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB11)) | (~v130(constB11, bitIndex1))),
% 72.40/45.24 inference(modus_ponens,[status(thm)],[3585, 3584])).
% 72.40/45.24 tff(3587,plain,
% 72.40/45.24 (~v119(constB11)),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3586, 541, 3583])).
% 72.40/45.24 tff(3588,assumption,(v90(constB12, bitIndex0)), introduced(assumption)).
% 72.40/45.24 tff(3589,plain,
% 72.40/45.24 (v129(constB12, bitIndex0) | (~v100(constB12))),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[2015, 938, 3588])).
% 72.40/45.24 tff(3590,plain,
% 72.40/45.24 (v129(constB12, bitIndex0)),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3589, 3559])).
% 72.40/45.24 tff(3591,plain,
% 72.40/45.24 (v127(constB11, bitIndex0)),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[2008, 3590])).
% 72.40/45.24 tff(3592,plain,
% 72.40/45.24 (v130(constB11, bitIndex0)),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[2002, 905, 3591, 3576])).
% 72.40/45.24 tff(3593,plain,
% 72.40/45.24 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB11)) | (~v130(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB11)) | (~v130(constB11, bitIndex0)))),
% 72.40/45.24 inference(rewrite,[status(thm)],[])).
% 72.40/45.24 tff(3594,plain,
% 72.40/45.24 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB11)) | (~v130(constB11, bitIndex0)))),
% 72.40/45.24 inference(quant_inst,[status(thm)],[])).
% 72.40/45.24 tff(3595,plain,
% 72.40/45.24 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB11)) | (~v130(constB11, bitIndex0))),
% 72.40/45.24 inference(modus_ponens,[status(thm)],[3594, 3593])).
% 72.40/45.24 tff(3596,plain,
% 72.40/45.24 (~v120(constB11)),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3595, 891, 3592])).
% 72.40/45.24 tff(3597,plain,
% 72.40/45.24 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB11, bitIndex1) | (~v121(constB11)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB11, bitIndex1) | (~v121(constB11)))),
% 72.40/45.24 inference(rewrite,[status(thm)],[])).
% 72.40/45.24 tff(3598,plain,
% 72.40/45.24 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB11, bitIndex1) | (~v121(constB11)))),
% 72.40/45.24 inference(quant_inst,[status(thm)],[])).
% 72.40/45.24 tff(3599,plain,
% 72.40/45.24 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB11, bitIndex1) | (~v121(constB11))),
% 72.40/45.24 inference(modus_ponens,[status(thm)],[3598, 3597])).
% 72.40/45.24 tff(3600,plain,
% 72.40/45.24 (~v121(constB11)),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3599, 3190, 3551])).
% 72.40/45.24 tff(3601,plain,
% 72.40/45.24 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB11, bitIndex1) | (~v122(constB11)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB11, bitIndex1) | (~v122(constB11)))),
% 72.40/45.24 inference(rewrite,[status(thm)],[])).
% 72.40/45.24 tff(3602,plain,
% 72.40/45.24 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB11, bitIndex1) | (~v122(constB11)))),
% 72.40/45.24 inference(quant_inst,[status(thm)],[])).
% 72.40/45.24 tff(3603,plain,
% 72.40/45.24 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB11, bitIndex1) | (~v122(constB11))),
% 72.40/45.24 inference(modus_ponens,[status(thm)],[3602, 3601])).
% 72.40/45.24 tff(3604,plain,
% 72.40/45.24 (~v122(constB11)),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3603, 3201, 3551])).
% 72.40/45.24 tff(3605,plain,
% 72.40/45.24 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB11)) | (~v130(constB11, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB11)) | (~v130(constB11, bitIndex1)))),
% 72.40/45.24 inference(rewrite,[status(thm)],[])).
% 72.40/45.24 tff(3606,plain,
% 72.40/45.24 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB11)) | (~v130(constB11, bitIndex1)))),
% 72.40/45.24 inference(quant_inst,[status(thm)],[])).
% 72.40/45.24 tff(3607,plain,
% 72.40/45.24 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB11)) | (~v130(constB11, bitIndex1))),
% 72.40/45.24 inference(modus_ponens,[status(thm)],[3606, 3605])).
% 72.40/45.24 tff(3608,plain,
% 72.40/45.24 (~v123(constB11)),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3607, 1622, 3583])).
% 72.40/45.24 tff(3609,plain,
% 72.40/45.24 (~v124(constB11)),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[1995, 1992, 3592])).
% 72.40/45.24 tff(3610,assumption,(v90(constB12, bitIndex2)), introduced(assumption)).
% 72.40/45.24 tff(3611,plain,
% 72.40/45.24 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB12, bitIndex2)) | v129(constB12, bitIndex2) | (~v100(constB12)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB12, bitIndex2)) | v129(constB12, bitIndex2) | (~v100(constB12)))),
% 72.40/45.24 inference(rewrite,[status(thm)],[])).
% 72.40/45.24 tff(3612,plain,
% 72.40/45.24 (((~v90(constB12, bitIndex2)) | (~v100(constB12)) | v129(constB12, bitIndex2)) <=> ((~v90(constB12, bitIndex2)) | v129(constB12, bitIndex2) | (~v100(constB12)))),
% 72.40/45.24 inference(rewrite,[status(thm)],[])).
% 72.40/45.24 tff(3613,plain,
% 72.40/45.24 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB12, bitIndex2)) | (~v100(constB12)) | v129(constB12, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB12, bitIndex2)) | v129(constB12, bitIndex2) | (~v100(constB12))))),
% 72.40/45.24 inference(monotonicity,[status(thm)],[3612])).
% 72.40/45.24 tff(3614,plain,
% 72.40/45.24 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB12, bitIndex2)) | (~v100(constB12)) | v129(constB12, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB12, bitIndex2)) | v129(constB12, bitIndex2) | (~v100(constB12)))),
% 72.40/45.24 inference(transitivity,[status(thm)],[3613, 3611])).
% 72.40/45.24 tff(3615,plain,
% 72.40/45.24 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB12, bitIndex2)) | (~v100(constB12)) | v129(constB12, bitIndex2))),
% 72.40/45.24 inference(quant_inst,[status(thm)],[])).
% 72.40/45.24 tff(3616,plain,
% 72.40/45.24 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB12, bitIndex2)) | v129(constB12, bitIndex2) | (~v100(constB12))),
% 72.40/45.24 inference(modus_ponens,[status(thm)],[3615, 3614])).
% 72.40/45.24 tff(3617,plain,
% 72.40/45.24 (v129(constB12, bitIndex2) | (~v100(constB12))),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3616, 503, 3610])).
% 72.40/45.24 tff(3618,plain,
% 72.40/45.24 (v129(constB12, bitIndex2)),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3617, 3559])).
% 72.40/45.24 tff(3619,plain,
% 72.40/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex2) | (~v129(constB12, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex2) | (~v129(constB12, bitIndex2)))),
% 72.40/45.24 inference(rewrite,[status(thm)],[])).
% 72.40/45.24 tff(3620,plain,
% 72.40/45.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex2) | (~v129(constB12, bitIndex2)))),
% 72.40/45.24 inference(quant_inst,[status(thm)],[])).
% 72.40/45.24 tff(3621,plain,
% 72.40/45.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex2) | (~v129(constB12, bitIndex2))),
% 72.40/45.24 inference(modus_ponens,[status(thm)],[3620, 3619])).
% 72.40/45.24 tff(3622,plain,
% 72.40/45.24 (v127(constB11, bitIndex2) | (~v129(constB12, bitIndex2))),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3621, 488, 1742])).
% 72.40/45.24 tff(3623,plain,
% 72.40/45.24 (v127(constB11, bitIndex2)),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3622, 3618])).
% 72.40/45.24 tff(3624,plain,
% 72.40/45.24 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB11, bitIndex2)) | v26(constB11) | v130(constB11, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB11, bitIndex2)) | v26(constB11) | v130(constB11, bitIndex2))),
% 72.40/45.24 inference(rewrite,[status(thm)],[])).
% 72.40/45.24 tff(3625,plain,
% 72.40/45.24 ((v26(constB11) | v130(constB11, bitIndex2) | (~v127(constB11, bitIndex2))) <=> ((~v127(constB11, bitIndex2)) | v26(constB11) | v130(constB11, bitIndex2))),
% 72.40/45.24 inference(rewrite,[status(thm)],[])).
% 72.40/45.24 tff(3626,plain,
% 72.40/45.24 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB11) | v130(constB11, bitIndex2) | (~v127(constB11, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB11, bitIndex2)) | v26(constB11) | v130(constB11, bitIndex2)))),
% 72.40/45.24 inference(monotonicity,[status(thm)],[3625])).
% 72.40/45.24 tff(3627,plain,
% 72.40/45.24 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB11) | v130(constB11, bitIndex2) | (~v127(constB11, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB11, bitIndex2)) | v26(constB11) | v130(constB11, bitIndex2))),
% 72.40/45.24 inference(transitivity,[status(thm)],[3626, 3624])).
% 72.40/45.24 tff(3628,plain,
% 72.40/45.24 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB11) | v130(constB11, bitIndex2) | (~v127(constB11, bitIndex2)))),
% 72.40/45.24 inference(quant_inst,[status(thm)],[])).
% 72.40/45.24 tff(3629,plain,
% 72.40/45.24 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB11, bitIndex2)) | v26(constB11) | v130(constB11, bitIndex2)),
% 72.40/45.24 inference(modus_ponens,[status(thm)],[3628, 3627])).
% 72.40/45.24 tff(3630,plain,
% 72.40/45.24 (v130(constB11, bitIndex2)),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3629, 470, 3623, 3576])).
% 72.40/45.24 tff(3631,plain,
% 72.40/45.24 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v123(constB11) | v124(constB11) | v122(constB11) | v121(constB11) | v120(constB11) | v119(constB11) | (~v130(constB11, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB11) | v124(constB11) | v122(constB11) | v121(constB11) | v120(constB11) | v119(constB11) | (~v130(constB11, bitIndex2)))),
% 72.40/45.24 inference(rewrite,[status(thm)],[])).
% 72.40/45.24 tff(3632,plain,
% 72.40/45.24 ((v120(constB11) | v119(constB11) | v121(constB11) | v122(constB11) | v123(constB11) | v124(constB11) | (~v130(constB11, bitIndex2))) <=> (v123(constB11) | v124(constB11) | v122(constB11) | v121(constB11) | v120(constB11) | v119(constB11) | (~v130(constB11, bitIndex2)))),
% 72.40/45.24 inference(rewrite,[status(thm)],[])).
% 72.40/45.24 tff(3633,plain,
% 72.40/45.24 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB11) | v119(constB11) | v121(constB11) | v122(constB11) | v123(constB11) | v124(constB11) | (~v130(constB11, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v123(constB11) | v124(constB11) | v122(constB11) | v121(constB11) | v120(constB11) | v119(constB11) | (~v130(constB11, bitIndex2))))),
% 72.40/45.24 inference(monotonicity,[status(thm)],[3632])).
% 72.40/45.24 tff(3634,plain,
% 72.40/45.24 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB11) | v119(constB11) | v121(constB11) | v122(constB11) | v123(constB11) | v124(constB11) | (~v130(constB11, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB11) | v124(constB11) | v122(constB11) | v121(constB11) | v120(constB11) | v119(constB11) | (~v130(constB11, bitIndex2)))),
% 72.40/45.24 inference(transitivity,[status(thm)],[3633, 3631])).
% 72.40/45.24 tff(3635,plain,
% 72.40/45.24 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB11) | v119(constB11) | v121(constB11) | v122(constB11) | v123(constB11) | v124(constB11) | (~v130(constB11, bitIndex2)))),
% 72.40/45.24 inference(quant_inst,[status(thm)],[])).
% 72.40/45.24 tff(3636,plain,
% 72.40/45.24 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB11) | v124(constB11) | v122(constB11) | v121(constB11) | v120(constB11) | v119(constB11) | (~v130(constB11, bitIndex2))),
% 72.40/45.24 inference(modus_ponens,[status(thm)],[3635, 3634])).
% 72.40/45.24 tff(3637,plain,
% 72.40/45.24 ($false),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3636, 1955, 3630, 3609, 3608, 3604, 3600, 3596, 3587])).
% 72.40/45.24 tff(3638,plain,(v90(constB11, bitIndex1) | (~v90(constB12, bitIndex2)) | (~v90(constB12, bitIndex0)) | (~v90(constB12, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 72.40/45.24 tff(3639,plain,
% 72.40/45.24 (v90(constB11, bitIndex1)),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3638, 3549, 3547, 3550])).
% 72.40/45.24 tff(3640,plain,
% 72.40/45.24 (v90(constB10, bitIndex1)),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[1655, 3639])).
% 72.40/45.24 tff(3641,assumption,(~v100(constB12)), introduced(assumption)).
% 72.40/45.24 tff(3642,plain,
% 72.40/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB11, bitIndex0) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB11, bitIndex0) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex0)))),
% 72.40/45.24 inference(rewrite,[status(thm)],[])).
% 72.40/45.24 tff(3643,plain,
% 72.40/45.24 (((~nextState(constB11, constB12)) | v90(constB11, bitIndex0) | v100(constB12) | (~v90(constB12, bitIndex0))) <=> (v90(constB11, bitIndex0) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex0)))),
% 72.40/45.24 inference(rewrite,[status(thm)],[])).
% 72.40/45.24 tff(3644,plain,
% 72.40/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v90(constB11, bitIndex0) | v100(constB12) | (~v90(constB12, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB11, bitIndex0) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex0))))),
% 72.40/45.24 inference(monotonicity,[status(thm)],[3643])).
% 72.40/45.24 tff(3645,plain,
% 72.40/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v90(constB11, bitIndex0) | v100(constB12) | (~v90(constB12, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB11, bitIndex0) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex0)))),
% 72.40/45.24 inference(transitivity,[status(thm)],[3644, 3642])).
% 72.40/45.24 tff(3646,plain,
% 72.40/45.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v90(constB11, bitIndex0) | v100(constB12) | (~v90(constB12, bitIndex0)))),
% 72.40/45.24 inference(quant_inst,[status(thm)],[])).
% 72.40/45.24 tff(3647,plain,
% 72.40/45.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB11, bitIndex0) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex0))),
% 72.40/45.24 inference(modus_ponens,[status(thm)],[3646, 3645])).
% 72.40/45.24 tff(3648,plain,
% 72.40/45.24 (v90(constB11, bitIndex0) | v100(constB12) | (~v90(constB12, bitIndex0))),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3647, 130, 1742])).
% 72.40/45.24 tff(3649,plain,
% 72.40/45.24 (v90(constB11, bitIndex0)),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3648, 3641, 3588])).
% 72.40/45.24 tff(3650,plain,
% 72.40/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB10, bitIndex0) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex0)))),
% 72.40/45.24 inference(rewrite,[status(thm)],[])).
% 72.40/45.24 tff(3651,plain,
% 72.40/45.24 (((~nextState(constB10, constB11)) | v90(constB10, bitIndex0) | v100(constB11) | (~v90(constB11, bitIndex0))) <=> (v90(constB10, bitIndex0) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex0)))),
% 72.40/45.24 inference(rewrite,[status(thm)],[])).
% 72.40/45.24 tff(3652,plain,
% 72.40/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex0) | v100(constB11) | (~v90(constB11, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex0))))),
% 72.40/45.24 inference(monotonicity,[status(thm)],[3651])).
% 72.40/45.24 tff(3653,plain,
% 72.40/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex0) | v100(constB11) | (~v90(constB11, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB10, bitIndex0) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex0)))),
% 72.40/45.24 inference(transitivity,[status(thm)],[3652, 3650])).
% 72.40/45.24 tff(3654,plain,
% 72.40/45.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex0) | v100(constB11) | (~v90(constB11, bitIndex0)))),
% 72.40/45.24 inference(quant_inst,[status(thm)],[])).
% 72.40/45.24 tff(3655,plain,
% 72.40/45.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB10, bitIndex0) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex0))),
% 72.40/45.24 inference(modus_ponens,[status(thm)],[3654, 3653])).
% 72.40/45.24 tff(3656,plain,
% 72.40/45.24 (v90(constB10, bitIndex0) | v100(constB11) | (~v90(constB11, bitIndex0))),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3655, 130, 1591])).
% 72.40/45.24 tff(3657,plain,
% 72.40/45.24 (v90(constB10, bitIndex0) | (~v90(constB11, bitIndex0))),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3656, 1603])).
% 72.40/45.24 tff(3658,plain,
% 72.40/45.24 (v90(constB10, bitIndex0)),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3657, 3649])).
% 72.40/45.24 tff(3659,plain,
% 72.40/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB9, bitIndex0) | (~nextState(constB9, constB10)) | v100(constB10) | (~v90(constB10, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB9, bitIndex0) | (~nextState(constB9, constB10)) | v100(constB10) | (~v90(constB10, bitIndex0)))),
% 72.40/45.24 inference(rewrite,[status(thm)],[])).
% 72.40/45.24 tff(3660,plain,
% 72.40/45.24 (((~nextState(constB9, constB10)) | v90(constB9, bitIndex0) | v100(constB10) | (~v90(constB10, bitIndex0))) <=> (v90(constB9, bitIndex0) | (~nextState(constB9, constB10)) | v100(constB10) | (~v90(constB10, bitIndex0)))),
% 72.40/45.24 inference(rewrite,[status(thm)],[])).
% 72.40/45.24 tff(3661,plain,
% 72.40/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB9, constB10)) | v90(constB9, bitIndex0) | v100(constB10) | (~v90(constB10, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB9, bitIndex0) | (~nextState(constB9, constB10)) | v100(constB10) | (~v90(constB10, bitIndex0))))),
% 72.40/45.24 inference(monotonicity,[status(thm)],[3660])).
% 72.40/45.24 tff(3662,plain,
% 72.40/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB9, constB10)) | v90(constB9, bitIndex0) | v100(constB10) | (~v90(constB10, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB9, bitIndex0) | (~nextState(constB9, constB10)) | v100(constB10) | (~v90(constB10, bitIndex0)))),
% 72.40/45.24 inference(transitivity,[status(thm)],[3661, 3659])).
% 72.40/45.24 tff(3663,plain,
% 72.40/45.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB9, constB10)) | v90(constB9, bitIndex0) | v100(constB10) | (~v90(constB10, bitIndex0)))),
% 72.40/45.24 inference(quant_inst,[status(thm)],[])).
% 72.40/45.24 tff(3664,plain,
% 72.40/45.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB9, bitIndex0) | (~nextState(constB9, constB10)) | v100(constB10) | (~v90(constB10, bitIndex0))),
% 72.40/45.24 inference(modus_ponens,[status(thm)],[3663, 3662])).
% 72.40/45.24 tff(3665,plain,
% 72.40/45.24 (v90(constB9, bitIndex0) | v100(constB10) | (~v90(constB10, bitIndex0))),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3664, 130, 1519])).
% 72.40/45.24 tff(3666,plain,
% 72.40/45.24 (v100(constB10)),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3665, 3658, 3532])).
% 72.40/45.24 tff(3667,assumption,(v90(constB10, bitIndex1)), introduced(assumption)).
% 72.40/45.24 tff(3668,plain,
% 72.40/45.24 (v129(constB10, bitIndex1) | (~v100(constB10))),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[1645, 603, 3667])).
% 72.40/45.24 tff(3669,plain,
% 72.40/45.24 (v129(constB10, bitIndex1)),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3668, 3666])).
% 72.40/45.24 tff(3670,plain,
% 72.40/45.24 (v127(constB9, bitIndex1)),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[1638, 3669])).
% 72.40/45.24 tff(3671,plain,
% 72.40/45.24 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB9)) | (~v127(constB9, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB9)) | (~v127(constB9, bitIndex1)))),
% 72.40/45.24 inference(rewrite,[status(thm)],[])).
% 72.40/45.24 tff(3672,plain,
% 72.40/45.24 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB9)) | (~v127(constB9, bitIndex1)))),
% 72.40/45.24 inference(quant_inst,[status(thm)],[])).
% 72.40/45.24 tff(3673,plain,
% 72.40/45.24 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB9)) | (~v127(constB9, bitIndex1))),
% 72.40/45.24 inference(modus_ponens,[status(thm)],[3672, 3671])).
% 72.40/45.24 tff(3674,plain,
% 72.40/45.24 (~v26(constB9)),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3673, 573, 3670])).
% 72.40/45.24 tff(3675,plain,
% 72.40/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB11, bitIndex2) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB11, bitIndex2) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex2)))),
% 72.40/45.24 inference(rewrite,[status(thm)],[])).
% 72.40/45.24 tff(3676,plain,
% 72.40/45.24 (((~nextState(constB11, constB12)) | v90(constB11, bitIndex2) | v100(constB12) | (~v90(constB12, bitIndex2))) <=> (v90(constB11, bitIndex2) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex2)))),
% 72.40/45.24 inference(rewrite,[status(thm)],[])).
% 72.40/45.24 tff(3677,plain,
% 72.40/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB11, constB12)) | v90(constB11, bitIndex2) | v100(constB12) | (~v90(constB12, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB11, bitIndex2) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex2))))),
% 72.40/45.24 inference(monotonicity,[status(thm)],[3676])).
% 72.40/45.24 tff(3678,plain,
% 72.40/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB11, constB12)) | v90(constB11, bitIndex2) | v100(constB12) | (~v90(constB12, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB11, bitIndex2) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex2)))),
% 72.40/45.24 inference(transitivity,[status(thm)],[3677, 3675])).
% 72.40/45.24 tff(3679,plain,
% 72.40/45.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB11, constB12)) | v90(constB11, bitIndex2) | v100(constB12) | (~v90(constB12, bitIndex2)))),
% 72.40/45.24 inference(quant_inst,[status(thm)],[])).
% 72.40/45.24 tff(3680,plain,
% 72.40/45.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB11, bitIndex2) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex2))),
% 72.40/45.24 inference(modus_ponens,[status(thm)],[3679, 3678])).
% 72.40/45.24 tff(3681,plain,
% 72.40/45.24 (v90(constB11, bitIndex2) | v100(constB12) | (~v90(constB12, bitIndex2))),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3680, 88, 1742])).
% 72.40/45.24 tff(3682,plain,
% 72.40/45.24 (v90(constB11, bitIndex2)),
% 72.40/45.24 inference(unit_resolution,[status(thm)],[3681, 3641, 3610])).
% 72.40/45.24 tff(3683,plain,
% 72.40/45.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex2)))),
% 72.40/45.24 inference(rewrite,[status(thm)],[])).
% 72.40/45.24 tff(3684,plain,
% 72.40/45.24 (((~nextState(constB10, constB11)) | v90(constB10, bitIndex2) | v100(constB11) | (~v90(constB11, bitIndex2))) <=> (v90(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex2)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3685,plain,
% 72.40/45.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex2) | v100(constB11) | (~v90(constB11, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex2))))),
% 72.40/45.25 inference(monotonicity,[status(thm)],[3684])).
% 72.40/45.25 tff(3686,plain,
% 72.40/45.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex2) | v100(constB11) | (~v90(constB11, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex2)))),
% 72.40/45.25 inference(transitivity,[status(thm)],[3685, 3683])).
% 72.40/45.25 tff(3687,plain,
% 72.40/45.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB10, constB11)) | v90(constB10, bitIndex2) | v100(constB11) | (~v90(constB11, bitIndex2)))),
% 72.40/45.25 inference(quant_inst,[status(thm)],[])).
% 72.40/45.25 tff(3688,plain,
% 72.40/45.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex2))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3687, 3686])).
% 72.40/45.25 tff(3689,plain,
% 72.40/45.25 (v90(constB10, bitIndex2) | v100(constB11) | (~v90(constB11, bitIndex2))),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3688, 88, 1591])).
% 72.40/45.25 tff(3690,plain,
% 72.40/45.25 (v90(constB10, bitIndex2) | (~v90(constB11, bitIndex2))),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3689, 1603])).
% 72.40/45.25 tff(3691,plain,
% 72.40/45.25 (v90(constB10, bitIndex2)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3690, 3682])).
% 72.40/45.25 tff(3692,plain,
% 72.40/45.25 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB10, bitIndex2)) | v129(constB10, bitIndex2) | (~v100(constB10)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB10, bitIndex2)) | v129(constB10, bitIndex2) | (~v100(constB10)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3693,plain,
% 72.40/45.25 (((~v90(constB10, bitIndex2)) | (~v100(constB10)) | v129(constB10, bitIndex2)) <=> ((~v90(constB10, bitIndex2)) | v129(constB10, bitIndex2) | (~v100(constB10)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3694,plain,
% 72.40/45.25 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB10, bitIndex2)) | (~v100(constB10)) | v129(constB10, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB10, bitIndex2)) | v129(constB10, bitIndex2) | (~v100(constB10))))),
% 72.40/45.25 inference(monotonicity,[status(thm)],[3693])).
% 72.40/45.25 tff(3695,plain,
% 72.40/45.25 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB10, bitIndex2)) | (~v100(constB10)) | v129(constB10, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB10, bitIndex2)) | v129(constB10, bitIndex2) | (~v100(constB10)))),
% 72.40/45.25 inference(transitivity,[status(thm)],[3694, 3692])).
% 72.40/45.25 tff(3696,plain,
% 72.40/45.25 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB10, bitIndex2)) | (~v100(constB10)) | v129(constB10, bitIndex2))),
% 72.40/45.25 inference(quant_inst,[status(thm)],[])).
% 72.40/45.25 tff(3697,plain,
% 72.40/45.25 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB10, bitIndex2)) | v129(constB10, bitIndex2) | (~v100(constB10))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3696, 3695])).
% 72.40/45.25 tff(3698,plain,
% 72.40/45.25 (v129(constB10, bitIndex2)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3697, 503, 3666, 3691])).
% 72.40/45.25 tff(3699,plain,
% 72.40/45.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB9, constB10)) | v127(constB9, bitIndex2) | (~v129(constB10, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB9, constB10)) | v127(constB9, bitIndex2) | (~v129(constB10, bitIndex2)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3700,plain,
% 72.40/45.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB9, constB10)) | v127(constB9, bitIndex2) | (~v129(constB10, bitIndex2)))),
% 72.40/45.25 inference(quant_inst,[status(thm)],[])).
% 72.40/45.25 tff(3701,plain,
% 72.40/45.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB9, constB10)) | v127(constB9, bitIndex2) | (~v129(constB10, bitIndex2))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3700, 3699])).
% 72.40/45.25 tff(3702,plain,
% 72.40/45.25 (v127(constB9, bitIndex2) | (~v129(constB10, bitIndex2))),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3701, 488, 1519])).
% 72.40/45.25 tff(3703,plain,
% 72.40/45.25 (v127(constB9, bitIndex2)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3702, 3698])).
% 72.40/45.25 tff(3704,plain,
% 72.40/45.25 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB9, bitIndex2)) | v26(constB9) | v130(constB9, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB9, bitIndex2)) | v26(constB9) | v130(constB9, bitIndex2))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3705,plain,
% 72.40/45.25 ((v26(constB9) | v130(constB9, bitIndex2) | (~v127(constB9, bitIndex2))) <=> ((~v127(constB9, bitIndex2)) | v26(constB9) | v130(constB9, bitIndex2))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3706,plain,
% 72.40/45.25 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB9) | v130(constB9, bitIndex2) | (~v127(constB9, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB9, bitIndex2)) | v26(constB9) | v130(constB9, bitIndex2)))),
% 72.40/45.25 inference(monotonicity,[status(thm)],[3705])).
% 72.40/45.25 tff(3707,plain,
% 72.40/45.25 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB9) | v130(constB9, bitIndex2) | (~v127(constB9, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB9, bitIndex2)) | v26(constB9) | v130(constB9, bitIndex2))),
% 72.40/45.25 inference(transitivity,[status(thm)],[3706, 3704])).
% 72.40/45.25 tff(3708,plain,
% 72.40/45.25 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB9) | v130(constB9, bitIndex2) | (~v127(constB9, bitIndex2)))),
% 72.40/45.25 inference(quant_inst,[status(thm)],[])).
% 72.40/45.25 tff(3709,plain,
% 72.40/45.25 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB9, bitIndex2)) | v26(constB9) | v130(constB9, bitIndex2)),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3708, 3707])).
% 72.40/45.25 tff(3710,plain,
% 72.40/45.25 (v130(constB9, bitIndex2)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3709, 470, 3703, 3674])).
% 72.40/45.25 tff(3711,plain,
% 72.40/45.25 (v130(constB9, bitIndex1)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[1632, 555, 3670, 3674])).
% 72.40/45.25 tff(3712,plain,
% 72.40/45.25 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB9)) | (~v130(constB9, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB9)) | (~v130(constB9, bitIndex1)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3713,plain,
% 72.40/45.25 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB9)) | (~v130(constB9, bitIndex1)))),
% 72.40/45.25 inference(quant_inst,[status(thm)],[])).
% 72.40/45.25 tff(3714,plain,
% 72.40/45.25 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB9)) | (~v130(constB9, bitIndex1))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3713, 3712])).
% 72.40/45.25 tff(3715,plain,
% 72.40/45.25 (~v119(constB9)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3714, 541, 3711])).
% 72.40/45.25 tff(3716,plain,
% 72.40/45.25 (~v123(constB9)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[1625, 1622, 3711])).
% 72.40/45.25 tff(3717,plain,
% 72.40/45.25 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v120(VarCurr))) <=> (v90(VarCurr, bitIndex0) | (~v120(VarCurr))))),
% 72.40/45.25 inference(bind,[status(th)],[])).
% 72.40/45.25 tff(3718,plain,
% 72.40/45.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 72.40/45.25 inference(quant_intro,[status(thm)],[3717])).
% 72.40/45.25 tff(3719,plain,
% 72.40/45.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3720,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_2')).
% 72.40/45.25 tff(3721,plain,
% 72.40/45.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3720, 3719])).
% 72.40/45.25 tff(3722,plain,(
% 72.40/45.25 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 72.40/45.25 inference(skolemize,[status(sab)],[3721])).
% 72.40/45.25 tff(3723,plain,
% 72.40/45.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3722, 3718])).
% 72.40/45.25 tff(3724,plain,
% 72.40/45.25 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB9, bitIndex0) | (~v120(constB9)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB9, bitIndex0) | (~v120(constB9)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3725,plain,
% 72.40/45.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB9, bitIndex0) | (~v120(constB9)))),
% 72.40/45.25 inference(quant_inst,[status(thm)],[])).
% 72.40/45.25 tff(3726,plain,
% 72.40/45.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB9, bitIndex0) | (~v120(constB9))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3725, 3724])).
% 72.40/45.25 tff(3727,plain,
% 72.40/45.25 (~v120(constB9)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3726, 3723, 3532])).
% 72.40/45.25 tff(3728,plain,
% 72.40/45.25 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v122(VarCurr))) <=> (v90(VarCurr, bitIndex0) | (~v122(VarCurr))))),
% 72.40/45.25 inference(bind,[status(th)],[])).
% 72.40/45.25 tff(3729,plain,
% 72.40/45.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 72.40/45.25 inference(quant_intro,[status(thm)],[3728])).
% 72.40/45.25 tff(3730,plain,
% 72.40/45.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3731,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_3')).
% 72.40/45.25 tff(3732,plain,
% 72.40/45.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3731, 3730])).
% 72.40/45.25 tff(3733,plain,(
% 72.40/45.25 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 72.40/45.25 inference(skolemize,[status(sab)],[3732])).
% 72.40/45.25 tff(3734,plain,
% 72.40/45.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3733, 3729])).
% 72.40/45.25 tff(3735,plain,
% 72.40/45.25 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB9, bitIndex0) | (~v122(constB9)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB9, bitIndex0) | (~v122(constB9)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3736,plain,
% 72.40/45.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB9, bitIndex0) | (~v122(constB9)))),
% 72.40/45.25 inference(quant_inst,[status(thm)],[])).
% 72.40/45.25 tff(3737,plain,
% 72.40/45.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB9, bitIndex0) | (~v122(constB9))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3736, 3735])).
% 72.40/45.25 tff(3738,plain,
% 72.40/45.25 (~v122(constB9)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3737, 3734, 3532])).
% 72.40/45.25 tff(3739,plain,
% 72.40/45.25 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v124(VarCurr))) <=> (v90(VarCurr, bitIndex0) | (~v124(VarCurr))))),
% 72.40/45.25 inference(bind,[status(th)],[])).
% 72.40/45.25 tff(3740,plain,
% 72.40/45.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 72.40/45.25 inference(quant_intro,[status(thm)],[3739])).
% 72.40/45.25 tff(3741,plain,
% 72.40/45.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3742,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_3')).
% 72.40/45.25 tff(3743,plain,
% 72.40/45.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3742, 3741])).
% 72.40/45.25 tff(3744,plain,(
% 72.40/45.25 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 72.40/45.25 inference(skolemize,[status(sab)],[3743])).
% 72.40/45.25 tff(3745,plain,
% 72.40/45.25 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3744, 3740])).
% 72.40/45.25 tff(3746,plain,
% 72.40/45.25 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB9, bitIndex0) | (~v124(constB9)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB9, bitIndex0) | (~v124(constB9)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3747,plain,
% 72.40/45.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB9, bitIndex0) | (~v124(constB9)))),
% 72.40/45.25 inference(quant_inst,[status(thm)],[])).
% 72.40/45.25 tff(3748,plain,
% 72.40/45.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB9, bitIndex0) | (~v124(constB9))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3747, 3746])).
% 72.40/45.25 tff(3749,plain,
% 72.40/45.25 (~v124(constB9)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3748, 3745, 3532])).
% 72.40/45.25 tff(3750,plain,
% 72.40/45.25 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB9) | v123(constB9) | v122(constB9) | v121(constB9) | v120(constB9) | v119(constB9) | (~v130(constB9, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB9) | v123(constB9) | v122(constB9) | v121(constB9) | v120(constB9) | v119(constB9) | (~v130(constB9, bitIndex1)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3751,plain,
% 72.40/45.25 ((v120(constB9) | v119(constB9) | v121(constB9) | v122(constB9) | v123(constB9) | v124(constB9) | (~v130(constB9, bitIndex1))) <=> (v124(constB9) | v123(constB9) | v122(constB9) | v121(constB9) | v120(constB9) | v119(constB9) | (~v130(constB9, bitIndex1)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3752,plain,
% 72.40/45.25 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB9) | v119(constB9) | v121(constB9) | v122(constB9) | v123(constB9) | v124(constB9) | (~v130(constB9, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB9) | v123(constB9) | v122(constB9) | v121(constB9) | v120(constB9) | v119(constB9) | (~v130(constB9, bitIndex1))))),
% 72.40/45.25 inference(monotonicity,[status(thm)],[3751])).
% 72.40/45.25 tff(3753,plain,
% 72.40/45.25 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB9) | v119(constB9) | v121(constB9) | v122(constB9) | v123(constB9) | v124(constB9) | (~v130(constB9, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB9) | v123(constB9) | v122(constB9) | v121(constB9) | v120(constB9) | v119(constB9) | (~v130(constB9, bitIndex1)))),
% 72.40/45.25 inference(transitivity,[status(thm)],[3752, 3750])).
% 72.40/45.25 tff(3754,plain,
% 72.40/45.25 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB9) | v119(constB9) | v121(constB9) | v122(constB9) | v123(constB9) | v124(constB9) | (~v130(constB9, bitIndex1)))),
% 72.40/45.25 inference(quant_inst,[status(thm)],[])).
% 72.40/45.25 tff(3755,plain,
% 72.40/45.25 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB9) | v123(constB9) | v122(constB9) | v121(constB9) | v120(constB9) | v119(constB9) | (~v130(constB9, bitIndex1))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3754, 3753])).
% 72.40/45.25 tff(3756,plain,
% 72.40/45.25 (v123(constB9) | v121(constB9) | v119(constB9) | (~v130(constB9, bitIndex1))),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3755, 2146, 3749, 3738, 3727])).
% 72.40/45.25 tff(3757,plain,
% 72.40/45.25 (v121(constB9)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3756, 3716, 3715, 3711])).
% 72.40/45.25 tff(3758,plain,
% 72.40/45.25 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB9)) | (~v130(constB9, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB9)) | (~v130(constB9, bitIndex2)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3759,plain,
% 72.40/45.25 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB9)) | (~v130(constB9, bitIndex2)))),
% 72.40/45.25 inference(quant_inst,[status(thm)],[])).
% 72.40/45.25 tff(3760,plain,
% 72.40/45.25 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB9)) | (~v130(constB9, bitIndex2))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3759, 3758])).
% 72.40/45.25 tff(3761,plain,
% 72.40/45.25 ($false),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3760, 1059, 3757, 3710])).
% 72.40/45.25 tff(3762,plain,(v100(constB12) | (~v90(constB10, bitIndex1)) | v90(constB9, bitIndex0) | (~v90(constB12, bitIndex2)) | (~v90(constB12, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.40/45.25 tff(3763,plain,
% 72.40/45.25 (v100(constB12)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3762, 3640, 3532, 3549, 3547])).
% 72.40/45.25 tff(3764,plain,
% 72.40/45.25 (v129(constB12, bitIndex2) | (~v100(constB12))),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3616, 503, 3549])).
% 72.40/45.25 tff(3765,plain,
% 72.40/45.25 (v129(constB12, bitIndex2)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3764, 3763])).
% 72.40/45.25 tff(3766,plain,
% 72.40/45.25 (v127(constB11, bitIndex2)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3622, 3765])).
% 72.40/45.25 tff(3767,plain,
% 72.40/45.25 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB11)) | (~v90(constB11, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB11)) | (~v90(constB11, bitIndex1)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3768,plain,
% 72.40/45.25 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB11)) | (~v90(constB11, bitIndex1)))),
% 72.40/45.25 inference(quant_inst,[status(thm)],[])).
% 72.40/45.25 tff(3769,plain,
% 72.40/45.25 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB11)) | (~v90(constB11, bitIndex1))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3768, 3767])).
% 72.40/45.25 tff(3770,plain,
% 72.40/45.25 (~v119(constB11)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3769, 1908, 3639])).
% 72.40/45.25 tff(3771,plain,
% 72.40/45.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB11, bitIndex1)) | (~v120(constB11)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB11, bitIndex1)) | (~v120(constB11)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3772,plain,
% 72.40/45.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB11, bitIndex1)) | (~v120(constB11)))),
% 72.40/45.25 inference(quant_inst,[status(thm)],[])).
% 72.40/45.25 tff(3773,plain,
% 72.40/45.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB11, bitIndex1)) | (~v120(constB11))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3772, 3771])).
% 72.40/45.25 tff(3774,plain,
% 72.40/45.25 (~v120(constB11)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3773, 1919, 3639])).
% 72.40/45.25 tff(3775,plain,
% 72.40/45.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB11, bitIndex1)) | (~v123(constB11)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB11, bitIndex1)) | (~v123(constB11)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3776,plain,
% 72.40/45.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB11, bitIndex1)) | (~v123(constB11)))),
% 72.40/45.25 inference(quant_inst,[status(thm)],[])).
% 72.40/45.25 tff(3777,plain,
% 72.40/45.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB11, bitIndex1)) | (~v123(constB11))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3776, 3775])).
% 72.40/45.25 tff(3778,plain,
% 72.40/45.25 (~v123(constB11)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3777, 1930, 3639])).
% 72.40/45.25 tff(3779,plain,
% 72.40/45.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB11, bitIndex1)) | (~v124(constB11)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB11, bitIndex1)) | (~v124(constB11)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3780,plain,
% 72.40/45.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB11, bitIndex1)) | (~v124(constB11)))),
% 72.40/45.25 inference(quant_inst,[status(thm)],[])).
% 72.40/45.25 tff(3781,plain,
% 72.40/45.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB11, bitIndex1)) | (~v124(constB11))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3780, 3779])).
% 72.40/45.25 tff(3782,plain,
% 72.40/45.25 (~v124(constB11)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3781, 1941, 3639])).
% 72.40/45.25 tff(3783,assumption,(~v127(constB11, bitIndex0)), introduced(assumption)).
% 72.40/45.25 tff(3784,plain,
% 72.40/45.25 (~v129(constB12, bitIndex0)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[2008, 3783])).
% 72.40/45.25 tff(3785,plain,
% 72.40/45.25 (~v100(constB12)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3589, 3784])).
% 72.40/45.25 tff(3786,plain,
% 72.40/45.25 (~v110(constB12)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[1775, 3785])).
% 72.40/45.25 tff(3787,plain,
% 72.40/45.25 (~v108(constB11)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[1749, 3786])).
% 72.40/45.25 tff(3788,plain,
% 72.40/45.25 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB11) | (~v26(constB11)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB11) | (~v26(constB11)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3789,plain,
% 72.40/45.25 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB11) | (~v26(constB11)))),
% 72.40/45.25 inference(quant_inst,[status(thm)],[])).
% 72.40/45.25 tff(3790,plain,
% 72.40/45.25 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB11) | (~v26(constB11))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3789, 3788])).
% 72.40/45.25 tff(3791,plain,
% 72.40/45.25 (~v26(constB11)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3790, 221, 3787])).
% 72.40/45.25 tff(3792,plain,
% 72.40/45.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB11) | (~v130(constB11, bitIndex0)) | v127(constB11, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB11) | (~v130(constB11, bitIndex0)) | v127(constB11, bitIndex0))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3793,plain,
% 72.40/45.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB11) | (~v130(constB11, bitIndex0)) | v127(constB11, bitIndex0))),
% 72.40/45.25 inference(quant_inst,[status(thm)],[])).
% 72.40/45.25 tff(3794,plain,
% 72.40/45.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB11) | (~v130(constB11, bitIndex0)) | v127(constB11, bitIndex0)),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3793, 3792])).
% 72.40/45.25 tff(3795,plain,
% 72.40/45.25 (~v130(constB11, bitIndex0)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3794, 179, 3783, 3791])).
% 72.40/45.25 tff(3796,plain,
% 72.40/45.25 (v90(constB11, bitIndex0)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3648, 3785, 3588])).
% 72.40/45.25 tff(3797,plain,
% 72.40/45.25 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr))) <=> ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr))))),
% 72.40/45.25 inference(bind,[status(th)],[])).
% 72.40/45.25 tff(3798,plain,
% 72.40/45.25 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))),
% 72.40/45.25 inference(quant_intro,[status(thm)],[3797])).
% 72.40/45.25 tff(3799,plain,
% 72.40/45.25 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3800,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_4')).
% 72.40/45.25 tff(3801,plain,
% 72.40/45.25 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3800, 3799])).
% 72.40/45.25 tff(3802,plain,(
% 72.40/45.25 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))),
% 72.40/45.25 inference(skolemize,[status(sab)],[3801])).
% 72.40/45.25 tff(3803,plain,
% 72.40/45.25 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3802, 3798])).
% 72.40/45.25 tff(3804,plain,
% 72.40/45.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB11, bitIndex0)) | (~v121(constB11)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB11, bitIndex0)) | (~v121(constB11)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3805,plain,
% 72.40/45.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB11, bitIndex0)) | (~v121(constB11)))),
% 72.40/45.25 inference(quant_inst,[status(thm)],[])).
% 72.40/45.25 tff(3806,plain,
% 72.40/45.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB11, bitIndex0)) | (~v121(constB11))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3805, 3804])).
% 72.40/45.25 tff(3807,plain,
% 72.40/45.25 (~v121(constB11)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3806, 3803, 3796])).
% 72.40/45.25 tff(3808,plain,
% 72.40/45.25 (v90(constB11, bitIndex2)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3681, 3785, 3610])).
% 72.40/45.25 tff(3809,plain,
% 72.40/45.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB11, bitIndex2)) | (~v122(constB11)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB11, bitIndex2)) | (~v122(constB11)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3810,plain,
% 72.40/45.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB11, bitIndex2)) | (~v122(constB11)))),
% 72.40/45.25 inference(quant_inst,[status(thm)],[])).
% 72.40/45.25 tff(3811,plain,
% 72.40/45.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB11, bitIndex2)) | (~v122(constB11))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3810, 3809])).
% 72.40/45.25 tff(3812,plain,
% 72.40/45.25 (~v122(constB11)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3811, 1853, 3808])).
% 72.40/45.25 tff(3813,assumption,(~v119(constB11)), introduced(assumption)).
% 72.40/45.25 tff(3814,assumption,(~v120(constB11)), introduced(assumption)).
% 72.40/45.25 tff(3815,assumption,(~v123(constB11)), introduced(assumption)).
% 72.40/45.25 tff(3816,assumption,(~v124(constB11)), introduced(assumption)).
% 72.40/45.25 tff(3817,plain,
% 72.40/45.25 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB11) | v124(constB11) | v122(constB11) | v121(constB11) | v120(constB11) | v119(constB11) | v130(constB11, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB11) | v124(constB11) | v122(constB11) | v121(constB11) | v120(constB11) | v119(constB11) | v130(constB11, bitIndex0))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3818,plain,
% 72.40/45.25 ((v120(constB11) | v119(constB11) | v121(constB11) | v122(constB11) | v123(constB11) | v124(constB11) | v130(constB11, bitIndex0)) <=> (v123(constB11) | v124(constB11) | v122(constB11) | v121(constB11) | v120(constB11) | v119(constB11) | v130(constB11, bitIndex0))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3819,plain,
% 72.40/45.25 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB11) | v119(constB11) | v121(constB11) | v122(constB11) | v123(constB11) | v124(constB11) | v130(constB11, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB11) | v124(constB11) | v122(constB11) | v121(constB11) | v120(constB11) | v119(constB11) | v130(constB11, bitIndex0)))),
% 72.40/45.25 inference(monotonicity,[status(thm)],[3818])).
% 72.40/45.25 tff(3820,plain,
% 72.40/45.25 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB11) | v119(constB11) | v121(constB11) | v122(constB11) | v123(constB11) | v124(constB11) | v130(constB11, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB11) | v124(constB11) | v122(constB11) | v121(constB11) | v120(constB11) | v119(constB11) | v130(constB11, bitIndex0))),
% 72.40/45.25 inference(transitivity,[status(thm)],[3819, 3817])).
% 72.40/45.25 tff(3821,plain,
% 72.40/45.25 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB11) | v119(constB11) | v121(constB11) | v122(constB11) | v123(constB11) | v124(constB11) | v130(constB11, bitIndex0))),
% 72.40/45.25 inference(quant_inst,[status(thm)],[])).
% 72.40/45.25 tff(3822,plain,
% 72.40/45.25 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB11) | v124(constB11) | v122(constB11) | v121(constB11) | v120(constB11) | v119(constB11) | v130(constB11, bitIndex0)),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3821, 3820])).
% 72.40/45.25 tff(3823,plain,
% 72.40/45.25 (v122(constB11) | v121(constB11) | v130(constB11, bitIndex0)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3822, 2192, 3816, 3815, 3814, 3813])).
% 72.40/45.25 tff(3824,plain,
% 72.40/45.25 ($false),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3823, 3812, 3807, 3795])).
% 72.40/45.25 tff(3825,plain,(v127(constB11, bitIndex0) | v124(constB11) | v123(constB11) | v120(constB11) | v119(constB11) | (~v90(constB12, bitIndex2)) | (~v90(constB12, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.40/45.25 tff(3826,plain,
% 72.40/45.25 (v127(constB11, bitIndex0)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3825, 3782, 3778, 3774, 3770, 3549, 3547])).
% 72.40/45.25 tff(3827,plain,
% 72.40/45.25 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB11)) | (~v127(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB11)) | (~v127(constB11, bitIndex0)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3828,plain,
% 72.40/45.25 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB11)) | (~v127(constB11, bitIndex0)))),
% 72.40/45.25 inference(quant_inst,[status(thm)],[])).
% 72.40/45.25 tff(3829,plain,
% 72.40/45.25 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB11)) | (~v127(constB11, bitIndex0))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3828, 3827])).
% 72.40/45.25 tff(3830,plain,
% 72.40/45.25 (~v26(constB11)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3829, 3417, 3826])).
% 72.40/45.25 tff(3831,plain,
% 72.40/45.25 ((~v127(constB11, bitIndex2)) | v130(constB11, bitIndex2)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3629, 470, 3830])).
% 72.40/45.25 tff(3832,plain,
% 72.40/45.25 (v130(constB11, bitIndex2)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3831, 3766])).
% 72.40/45.25 tff(3833,plain,
% 72.40/45.25 (v130(constB11, bitIndex0)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[2002, 905, 3826, 3830])).
% 72.40/45.25 tff(3834,plain,
% 72.40/45.25 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB11)) | (~v130(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB11)) | (~v130(constB11, bitIndex0)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3835,plain,
% 72.40/45.25 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB11)) | (~v130(constB11, bitIndex0)))),
% 72.40/45.25 inference(quant_inst,[status(thm)],[])).
% 72.40/45.25 tff(3836,plain,
% 72.40/45.25 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB11)) | (~v130(constB11, bitIndex0))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3835, 3834])).
% 72.40/45.25 tff(3837,plain,
% 72.40/45.25 (~v122(constB11)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3836, 1433, 3833])).
% 72.40/45.25 tff(3838,plain,
% 72.40/45.25 (v129(constB12, bitIndex1)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3566, 3763])).
% 72.40/45.25 tff(3839,plain,
% 72.40/45.25 (v127(constB11, bitIndex1)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3571, 3838])).
% 72.40/45.25 tff(3840,plain,
% 72.40/45.25 ((~v127(constB11, bitIndex1)) | v130(constB11, bitIndex1)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3582, 555, 3830])).
% 72.40/45.25 tff(3841,plain,
% 72.40/45.25 (v130(constB11, bitIndex1)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3840, 3839])).
% 72.40/45.25 tff(3842,plain,
% 72.40/45.25 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB11) | v124(constB11) | v122(constB11) | v121(constB11) | v120(constB11) | v119(constB11) | (~v130(constB11, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB11) | v124(constB11) | v122(constB11) | v121(constB11) | v120(constB11) | v119(constB11) | (~v130(constB11, bitIndex1)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3843,plain,
% 72.40/45.25 ((v120(constB11) | v119(constB11) | v121(constB11) | v122(constB11) | v123(constB11) | v124(constB11) | (~v130(constB11, bitIndex1))) <=> (v123(constB11) | v124(constB11) | v122(constB11) | v121(constB11) | v120(constB11) | v119(constB11) | (~v130(constB11, bitIndex1)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3844,plain,
% 72.40/45.25 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB11) | v119(constB11) | v121(constB11) | v122(constB11) | v123(constB11) | v124(constB11) | (~v130(constB11, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB11) | v124(constB11) | v122(constB11) | v121(constB11) | v120(constB11) | v119(constB11) | (~v130(constB11, bitIndex1))))),
% 72.40/45.25 inference(monotonicity,[status(thm)],[3843])).
% 72.40/45.25 tff(3845,plain,
% 72.40/45.25 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB11) | v119(constB11) | v121(constB11) | v122(constB11) | v123(constB11) | v124(constB11) | (~v130(constB11, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB11) | v124(constB11) | v122(constB11) | v121(constB11) | v120(constB11) | v119(constB11) | (~v130(constB11, bitIndex1)))),
% 72.40/45.25 inference(transitivity,[status(thm)],[3844, 3842])).
% 72.40/45.25 tff(3846,plain,
% 72.40/45.25 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB11) | v119(constB11) | v121(constB11) | v122(constB11) | v123(constB11) | v124(constB11) | (~v130(constB11, bitIndex1)))),
% 72.40/45.25 inference(quant_inst,[status(thm)],[])).
% 72.40/45.25 tff(3847,plain,
% 72.40/45.25 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB11) | v124(constB11) | v122(constB11) | v121(constB11) | v120(constB11) | v119(constB11) | (~v130(constB11, bitIndex1))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3846, 3845])).
% 72.40/45.25 tff(3848,plain,
% 72.40/45.25 (v122(constB11) | v121(constB11) | (~v130(constB11, bitIndex1))),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3847, 2146, 3782, 3778, 3774, 3770])).
% 72.40/45.25 tff(3849,plain,
% 72.40/45.25 (v121(constB11)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3848, 3841, 3837])).
% 72.40/45.25 tff(3850,plain,
% 72.40/45.25 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB11)) | (~v130(constB11, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB11)) | (~v130(constB11, bitIndex2)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3851,plain,
% 72.40/45.25 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB11)) | (~v130(constB11, bitIndex2)))),
% 72.40/45.25 inference(quant_inst,[status(thm)],[])).
% 72.40/45.25 tff(3852,plain,
% 72.40/45.25 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB11)) | (~v130(constB11, bitIndex2))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3851, 3850])).
% 72.40/45.25 tff(3853,plain,
% 72.40/45.25 ($false),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3852, 1059, 3849, 3832])).
% 72.40/45.25 tff(3854,plain,(v100(constB14) | (~v90(constB12, bitIndex1)) | v90(constB9, bitIndex0) | (~v90(constB14, bitIndex2)) | (~v90(constB14, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.40/45.25 tff(3855,plain,
% 72.40/45.25 (v100(constB14)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3854, 3544, 3532, 3531, 3529])).
% 72.40/45.25 tff(3856,plain,
% 72.40/45.25 (v129(constB14, bitIndex0) | (~v100(constB14))),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3400, 938, 3529])).
% 72.40/45.25 tff(3857,plain,
% 72.40/45.25 (v129(constB14, bitIndex0)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3856, 3855])).
% 72.40/45.25 tff(3858,plain,
% 72.40/45.25 (v127(constB13, bitIndex0)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3406, 3857])).
% 72.40/45.25 tff(3859,plain,
% 72.40/45.25 (~v26(constB13)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3420, 3417, 3858])).
% 72.40/45.25 tff(3860,plain,
% 72.40/45.25 (v129(constB14, bitIndex1) | (~v100(constB14))),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[2172, 603, 3534])).
% 72.40/45.25 tff(3861,plain,
% 72.40/45.25 (v129(constB14, bitIndex1)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3860, 3855])).
% 72.40/45.25 tff(3862,plain,
% 72.40/45.25 (v127(constB13, bitIndex1)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[2165, 3861])).
% 72.40/45.25 tff(3863,plain,
% 72.40/45.25 (v130(constB13, bitIndex1)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[2159, 555, 3862, 3859])).
% 72.40/45.25 tff(3864,plain,
% 72.40/45.25 (v130(constB13, bitIndex0)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3432, 905, 3858, 3859])).
% 72.40/45.25 tff(3865,plain,
% 72.40/45.25 (~v122(constB13)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3436, 1433, 3864])).
% 72.40/45.25 tff(3866,plain,
% 72.40/45.25 (v129(constB14, bitIndex2) | (~v100(constB14))),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[2108, 503, 3531])).
% 72.40/45.25 tff(3867,plain,
% 72.40/45.25 (v129(constB14, bitIndex2)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3866, 3855])).
% 72.40/45.25 tff(3868,plain,
% 72.40/45.25 (v127(constB13, bitIndex2)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[1981, 3867])).
% 72.40/45.25 tff(3869,plain,
% 72.40/45.25 (v130(constB13, bitIndex2)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[1972, 470, 3868, 3859])).
% 72.40/45.25 tff(3870,plain,
% 72.40/45.25 (~v121(constB13)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3445, 1059, 3869])).
% 72.40/45.25 tff(3871,plain,
% 72.40/45.25 (~v119(constB13)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[1911, 1908, 3535])).
% 72.40/45.25 tff(3872,plain,
% 72.40/45.25 (~v120(constB13)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[1922, 1919, 3535])).
% 72.40/45.25 tff(3873,plain,
% 72.40/45.25 (~v123(constB13)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[1933, 1930, 3535])).
% 72.40/45.25 tff(3874,plain,
% 72.40/45.25 (~v124(constB13)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[1944, 1941, 3535])).
% 72.40/45.25 tff(3875,plain,
% 72.40/45.25 (v122(constB13) | v121(constB13) | (~v130(constB13, bitIndex1))),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[2152, 2146, 3874, 3873, 3872, 3871])).
% 72.40/45.25 tff(3876,plain,
% 72.40/45.25 ($false),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3875, 3870, 3865, 3863])).
% 72.40/45.25 tff(3877,plain,(v100(constB16) | v90(constB9, bitIndex0) | (~v90(constB16, bitIndex2)) | (~v90(constB16, bitIndex1)) | (~v90(constB16, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.40/45.25 tff(3878,plain,
% 72.40/45.25 (v90(constB9, bitIndex0)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3877, 3357, 3292, 3283, 3282])).
% 72.40/45.25 tff(3879,plain,
% 72.40/45.25 (v90(constB8, bitIndex0)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[1466, 3878])).
% 72.40/45.25 tff(3880,plain,
% 72.40/45.25 (v90(constB13, bitIndex1)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3491, 3392, 3383, 3374])).
% 72.40/45.25 tff(3881,plain,
% 72.40/45.25 (v90(constB12, bitIndex1)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3543, 3880])).
% 72.40/45.25 tff(3882,plain,
% 72.40/45.25 (v90(constB11, bitIndex1)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3638, 3526, 3509, 3881])).
% 72.40/45.25 tff(3883,plain,
% 72.40/45.25 (v90(constB10, bitIndex1)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[1655, 3882])).
% 72.40/45.25 tff(3884,plain,
% 72.40/45.25 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr))) <=> ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr))))),
% 72.40/45.25 inference(bind,[status(th)],[])).
% 72.40/45.25 tff(3885,plain,
% 72.40/45.25 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 72.40/45.25 inference(quant_intro,[status(thm)],[3884])).
% 72.40/45.25 tff(3886,plain,
% 72.40/45.25 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3887,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_4')).
% 72.40/45.25 tff(3888,plain,
% 72.40/45.25 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3887, 3886])).
% 72.40/45.25 tff(3889,plain,(
% 72.40/45.25 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 72.40/45.25 inference(skolemize,[status(sab)],[3888])).
% 72.40/45.25 tff(3890,plain,
% 72.40/45.25 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3889, 3885])).
% 72.40/45.25 tff(3891,plain,
% 72.40/45.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB9, bitIndex0)) | (~v119(constB9)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB9, bitIndex0)) | (~v119(constB9)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3892,plain,
% 72.40/45.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB9, bitIndex0)) | (~v119(constB9)))),
% 72.40/45.25 inference(quant_inst,[status(thm)],[])).
% 72.40/45.25 tff(3893,plain,
% 72.40/45.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB9, bitIndex0)) | (~v119(constB9))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3892, 3891])).
% 72.40/45.25 tff(3894,plain,
% 72.40/45.25 (~v119(constB9)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3893, 3890, 3878])).
% 72.40/45.25 tff(3895,plain,
% 72.40/45.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB9, bitIndex0)) | (~v121(constB9)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB9, bitIndex0)) | (~v121(constB9)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3896,plain,
% 72.40/45.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB9, bitIndex0)) | (~v121(constB9)))),
% 72.40/45.25 inference(quant_inst,[status(thm)],[])).
% 72.40/45.25 tff(3897,plain,
% 72.40/45.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB9, bitIndex0)) | (~v121(constB9))),
% 72.40/45.25 inference(modus_ponens,[status(thm)],[3896, 3895])).
% 72.40/45.25 tff(3898,plain,
% 72.40/45.25 (~v121(constB9)),
% 72.40/45.25 inference(unit_resolution,[status(thm)],[3897, 3803, 3878])).
% 72.40/45.25 tff(3899,plain,
% 72.40/45.25 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr))) <=> ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr))))),
% 72.40/45.25 inference(bind,[status(th)],[])).
% 72.40/45.25 tff(3900,plain,
% 72.40/45.25 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 72.40/45.25 inference(quant_intro,[status(thm)],[3899])).
% 72.40/45.25 tff(3901,plain,
% 72.40/45.25 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 72.40/45.25 inference(rewrite,[status(thm)],[])).
% 72.40/45.25 tff(3902,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_4')).
% 72.40/45.26 tff(3903,plain,
% 72.40/45.26 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 72.40/45.26 inference(modus_ponens,[status(thm)],[3902, 3901])).
% 72.40/45.26 tff(3904,plain,(
% 72.40/45.26 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 72.40/45.26 inference(skolemize,[status(sab)],[3903])).
% 72.40/45.26 tff(3905,plain,
% 72.40/45.26 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 72.40/45.26 inference(modus_ponens,[status(thm)],[3904, 3900])).
% 72.40/45.26 tff(3906,plain,
% 72.40/45.26 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB9, bitIndex0)) | (~v123(constB9)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB9, bitIndex0)) | (~v123(constB9)))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.26 tff(3907,plain,
% 72.40/45.26 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB9, bitIndex0)) | (~v123(constB9)))),
% 72.40/45.26 inference(quant_inst,[status(thm)],[])).
% 72.40/45.26 tff(3908,plain,
% 72.40/45.26 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB9, bitIndex0)) | (~v123(constB9))),
% 72.40/45.26 inference(modus_ponens,[status(thm)],[3907, 3906])).
% 72.40/45.26 tff(3909,plain,
% 72.40/45.26 (~v123(constB9)),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[3908, 3905, 3878])).
% 72.40/45.26 tff(3910,assumption,(v90(constB8, bitIndex0)), introduced(assumption)).
% 72.40/45.26 tff(3911,assumption,(v90(constB10, bitIndex2)), introduced(assumption)).
% 72.40/45.26 tff(3912,assumption,(~v100(constB10)), introduced(assumption)).
% 72.40/45.26 tff(3913,plain,
% 72.40/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB9, bitIndex2) | (~nextState(constB9, constB10)) | v100(constB10) | (~v90(constB10, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB9, bitIndex2) | (~nextState(constB9, constB10)) | v100(constB10) | (~v90(constB10, bitIndex2)))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.26 tff(3914,plain,
% 72.40/45.26 (((~nextState(constB9, constB10)) | v90(constB9, bitIndex2) | v100(constB10) | (~v90(constB10, bitIndex2))) <=> (v90(constB9, bitIndex2) | (~nextState(constB9, constB10)) | v100(constB10) | (~v90(constB10, bitIndex2)))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.26 tff(3915,plain,
% 72.40/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB9, constB10)) | v90(constB9, bitIndex2) | v100(constB10) | (~v90(constB10, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB9, bitIndex2) | (~nextState(constB9, constB10)) | v100(constB10) | (~v90(constB10, bitIndex2))))),
% 72.40/45.26 inference(monotonicity,[status(thm)],[3914])).
% 72.40/45.26 tff(3916,plain,
% 72.40/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB9, constB10)) | v90(constB9, bitIndex2) | v100(constB10) | (~v90(constB10, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB9, bitIndex2) | (~nextState(constB9, constB10)) | v100(constB10) | (~v90(constB10, bitIndex2)))),
% 72.40/45.26 inference(transitivity,[status(thm)],[3915, 3913])).
% 72.40/45.26 tff(3917,plain,
% 72.40/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB9, constB10)) | v90(constB9, bitIndex2) | v100(constB10) | (~v90(constB10, bitIndex2)))),
% 72.40/45.26 inference(quant_inst,[status(thm)],[])).
% 72.40/45.26 tff(3918,plain,
% 72.40/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB9, bitIndex2) | (~nextState(constB9, constB10)) | v100(constB10) | (~v90(constB10, bitIndex2))),
% 72.40/45.26 inference(modus_ponens,[status(thm)],[3917, 3916])).
% 72.40/45.26 tff(3919,plain,
% 72.40/45.26 (v90(constB9, bitIndex2) | v100(constB10) | (~v90(constB10, bitIndex2))),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[3918, 88, 1519])).
% 72.40/45.26 tff(3920,plain,
% 72.40/45.26 (v90(constB9, bitIndex2)),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[3919, 3912, 3911])).
% 72.40/45.26 tff(3921,plain,
% 72.40/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex2)))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.26 tff(3922,plain,
% 72.40/45.26 (((~nextState(constB8, constB9)) | v90(constB8, bitIndex2) | v100(constB9) | (~v90(constB9, bitIndex2))) <=> (v90(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex2)))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.26 tff(3923,plain,
% 72.40/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex2) | v100(constB9) | (~v90(constB9, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex2))))),
% 72.40/45.26 inference(monotonicity,[status(thm)],[3922])).
% 72.40/45.26 tff(3924,plain,
% 72.40/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex2) | v100(constB9) | (~v90(constB9, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex2)))),
% 72.40/45.26 inference(transitivity,[status(thm)],[3923, 3921])).
% 72.40/45.26 tff(3925,plain,
% 72.40/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB8, constB9)) | v90(constB8, bitIndex2) | v100(constB9) | (~v90(constB9, bitIndex2)))),
% 72.40/45.26 inference(quant_inst,[status(thm)],[])).
% 72.40/45.26 tff(3926,plain,
% 72.40/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex2))),
% 72.40/45.26 inference(modus_ponens,[status(thm)],[3925, 3924])).
% 72.40/45.26 tff(3927,plain,
% 72.40/45.26 (v90(constB8, bitIndex2) | v100(constB9) | (~v90(constB9, bitIndex2))),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[3926, 88, 1348])).
% 72.40/45.26 tff(3928,plain,
% 72.40/45.26 (v90(constB8, bitIndex2) | (~v90(constB9, bitIndex2))),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[3927, 1360])).
% 72.40/45.26 tff(3929,plain,
% 72.40/45.26 (v90(constB8, bitIndex2)),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[3928, 3920])).
% 72.40/45.26 tff(3930,plain,
% 72.40/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB9, bitIndex1) | (~nextState(constB9, constB10)) | v100(constB10) | (~v90(constB10, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB9, bitIndex1) | (~nextState(constB9, constB10)) | v100(constB10) | (~v90(constB10, bitIndex1)))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.26 tff(3931,plain,
% 72.40/45.26 (((~nextState(constB9, constB10)) | v90(constB9, bitIndex1) | v100(constB10) | (~v90(constB10, bitIndex1))) <=> (v90(constB9, bitIndex1) | (~nextState(constB9, constB10)) | v100(constB10) | (~v90(constB10, bitIndex1)))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.26 tff(3932,plain,
% 72.40/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB9, constB10)) | v90(constB9, bitIndex1) | v100(constB10) | (~v90(constB10, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB9, bitIndex1) | (~nextState(constB9, constB10)) | v100(constB10) | (~v90(constB10, bitIndex1))))),
% 72.40/45.26 inference(monotonicity,[status(thm)],[3931])).
% 72.40/45.26 tff(3933,plain,
% 72.40/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB9, constB10)) | v90(constB9, bitIndex1) | v100(constB10) | (~v90(constB10, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB9, bitIndex1) | (~nextState(constB9, constB10)) | v100(constB10) | (~v90(constB10, bitIndex1)))),
% 72.40/45.26 inference(transitivity,[status(thm)],[3932, 3930])).
% 72.40/45.26 tff(3934,plain,
% 72.40/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB9, constB10)) | v90(constB9, bitIndex1) | v100(constB10) | (~v90(constB10, bitIndex1)))),
% 72.40/45.26 inference(quant_inst,[status(thm)],[])).
% 72.40/45.26 tff(3935,plain,
% 72.40/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB9, bitIndex1) | (~nextState(constB9, constB10)) | v100(constB10) | (~v90(constB10, bitIndex1))),
% 72.40/45.26 inference(modus_ponens,[status(thm)],[3934, 3933])).
% 72.40/45.26 tff(3936,plain,
% 72.40/45.26 (v90(constB9, bitIndex1) | v100(constB10) | (~v90(constB10, bitIndex1))),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[3935, 109, 1519])).
% 72.40/45.26 tff(3937,plain,
% 72.40/45.26 (v90(constB9, bitIndex1)),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[3936, 3912, 3667])).
% 72.40/45.26 tff(3938,plain,
% 72.40/45.26 (v90(constB8, bitIndex1)),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[1422, 3937])).
% 72.40/45.26 tff(3939,assumption,(v90(constB8, bitIndex1)), introduced(assumption)).
% 72.40/45.26 tff(3940,assumption,(~v90(constB7, bitIndex1)), introduced(assumption)).
% 72.40/45.26 tff(3941,plain,
% 72.40/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB7, bitIndex1) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB7, bitIndex1) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex1)))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.26 tff(3942,plain,
% 72.40/45.26 (((~nextState(constB7, constB8)) | v90(constB7, bitIndex1) | v100(constB8) | (~v90(constB8, bitIndex1))) <=> (v90(constB7, bitIndex1) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex1)))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.26 tff(3943,plain,
% 72.40/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB7, constB8)) | v90(constB7, bitIndex1) | v100(constB8) | (~v90(constB8, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB7, bitIndex1) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex1))))),
% 72.40/45.26 inference(monotonicity,[status(thm)],[3942])).
% 72.40/45.26 tff(3944,plain,
% 72.40/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB7, constB8)) | v90(constB7, bitIndex1) | v100(constB8) | (~v90(constB8, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB7, bitIndex1) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex1)))),
% 72.40/45.26 inference(transitivity,[status(thm)],[3943, 3941])).
% 72.40/45.26 tff(3945,plain,
% 72.40/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB7, constB8)) | v90(constB7, bitIndex1) | v100(constB8) | (~v90(constB8, bitIndex1)))),
% 72.40/45.26 inference(quant_inst,[status(thm)],[])).
% 72.40/45.26 tff(3946,plain,
% 72.40/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB7, bitIndex1) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex1))),
% 72.40/45.26 inference(modus_ponens,[status(thm)],[3945, 3944])).
% 72.40/45.26 tff(3947,plain,
% 72.40/45.26 (v90(constB7, bitIndex1) | v100(constB8) | (~v90(constB8, bitIndex1))),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[3946, 109, 1246])).
% 72.40/45.26 tff(3948,plain,
% 72.40/45.26 (v100(constB8)),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[3947, 3940, 3939])).
% 72.40/45.26 tff(3949,plain,
% 72.40/45.26 (v129(constB8, bitIndex0) | (~v100(constB8))),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[1456, 938, 3910])).
% 72.40/45.26 tff(3950,plain,
% 72.40/45.26 (v129(constB8, bitIndex0)),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[3949, 3948])).
% 72.40/45.26 tff(3951,plain,
% 72.40/45.26 (v127(constB7, bitIndex0)),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[1449, 3950])).
% 72.40/45.26 tff(3952,plain,
% 72.40/45.26 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB7)) | (~v127(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB7)) | (~v127(constB7, bitIndex0)))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.26 tff(3953,plain,
% 72.40/45.26 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB7)) | (~v127(constB7, bitIndex0)))),
% 72.40/45.26 inference(quant_inst,[status(thm)],[])).
% 72.40/45.26 tff(3954,plain,
% 72.40/45.26 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB7)) | (~v127(constB7, bitIndex0))),
% 72.40/45.26 inference(modus_ponens,[status(thm)],[3953, 3952])).
% 72.40/45.26 tff(3955,plain,
% 72.40/45.26 (~v26(constB7)),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[3954, 3417, 3951])).
% 72.40/45.26 tff(3956,plain,
% 72.40/45.26 (v129(constB8, bitIndex1) | (~v100(constB8))),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[1412, 603, 3939])).
% 72.40/45.26 tff(3957,plain,
% 72.40/45.26 (v129(constB8, bitIndex1)),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[3956, 3948])).
% 72.40/45.26 tff(3958,plain,
% 72.40/45.26 (v127(constB7, bitIndex1)),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[1405, 3957])).
% 72.40/45.26 tff(3959,plain,
% 72.40/45.26 (v130(constB7, bitIndex1)),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[1399, 555, 3958, 3955])).
% 72.40/45.26 tff(3960,plain,
% 72.40/45.26 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB7)) | (~v130(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB7)) | (~v130(constB7, bitIndex1)))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.26 tff(3961,plain,
% 72.40/45.26 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB7)) | (~v130(constB7, bitIndex1)))),
% 72.40/45.26 inference(quant_inst,[status(thm)],[])).
% 72.40/45.26 tff(3962,plain,
% 72.40/45.26 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB7)) | (~v130(constB7, bitIndex1))),
% 72.40/45.26 inference(modus_ponens,[status(thm)],[3961, 3960])).
% 72.40/45.26 tff(3963,plain,
% 72.40/45.26 (~v119(constB7)),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[3962, 541, 3959])).
% 72.40/45.26 tff(3964,plain,
% 72.40/45.26 (v130(constB7, bitIndex0)),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[1443, 905, 3951, 3955])).
% 72.40/45.26 tff(3965,plain,
% 72.40/45.26 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB7)) | (~v130(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB7)) | (~v130(constB7, bitIndex0)))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.26 tff(3966,plain,
% 72.40/45.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB7)) | (~v130(constB7, bitIndex0)))),
% 72.40/45.26 inference(quant_inst,[status(thm)],[])).
% 72.40/45.26 tff(3967,plain,
% 72.40/45.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB7)) | (~v130(constB7, bitIndex0))),
% 72.40/45.26 inference(modus_ponens,[status(thm)],[3966, 3965])).
% 72.40/45.26 tff(3968,plain,
% 72.40/45.26 (~v120(constB7)),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[3967, 891, 3964])).
% 72.40/45.26 tff(3969,plain,
% 72.40/45.26 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB7, bitIndex1) | (~v121(constB7)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB7, bitIndex1) | (~v121(constB7)))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.26 tff(3970,plain,
% 72.40/45.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB7, bitIndex1) | (~v121(constB7)))),
% 72.40/45.26 inference(quant_inst,[status(thm)],[])).
% 72.40/45.26 tff(3971,plain,
% 72.40/45.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB7, bitIndex1) | (~v121(constB7))),
% 72.40/45.26 inference(modus_ponens,[status(thm)],[3970, 3969])).
% 72.40/45.26 tff(3972,plain,
% 72.40/45.26 (~v121(constB7)),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[3971, 3190, 3940])).
% 72.40/45.26 tff(3973,plain,
% 72.40/45.26 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB7, bitIndex1) | (~v122(constB7)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB7, bitIndex1) | (~v122(constB7)))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.26 tff(3974,plain,
% 72.40/45.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB7, bitIndex1) | (~v122(constB7)))),
% 72.40/45.26 inference(quant_inst,[status(thm)],[])).
% 72.40/45.26 tff(3975,plain,
% 72.40/45.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB7, bitIndex1) | (~v122(constB7))),
% 72.40/45.26 inference(modus_ponens,[status(thm)],[3974, 3973])).
% 72.40/45.26 tff(3976,plain,
% 72.40/45.26 (~v122(constB7)),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[3975, 3201, 3940])).
% 72.40/45.26 tff(3977,plain,
% 72.40/45.26 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB7)) | (~v130(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB7)) | (~v130(constB7, bitIndex1)))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.26 tff(3978,plain,
% 72.40/45.26 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB7)) | (~v130(constB7, bitIndex1)))),
% 72.40/45.26 inference(quant_inst,[status(thm)],[])).
% 72.40/45.26 tff(3979,plain,
% 72.40/45.26 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB7)) | (~v130(constB7, bitIndex1))),
% 72.40/45.26 inference(modus_ponens,[status(thm)],[3978, 3977])).
% 72.40/45.26 tff(3980,plain,
% 72.40/45.26 (~v123(constB7)),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[3979, 1622, 3959])).
% 72.40/45.26 tff(3981,plain,
% 72.40/45.26 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB7)) | (~v130(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB7)) | (~v130(constB7, bitIndex0)))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.26 tff(3982,plain,
% 72.40/45.26 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB7)) | (~v130(constB7, bitIndex0)))),
% 72.40/45.26 inference(quant_inst,[status(thm)],[])).
% 72.40/45.26 tff(3983,plain,
% 72.40/45.26 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB7)) | (~v130(constB7, bitIndex0))),
% 72.40/45.26 inference(modus_ponens,[status(thm)],[3982, 3981])).
% 72.40/45.26 tff(3984,plain,
% 72.40/45.26 (~v124(constB7)),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[3983, 1992, 3964])).
% 72.40/45.26 tff(3985,assumption,(v90(constB8, bitIndex2)), introduced(assumption)).
% 72.40/45.26 tff(3986,plain,
% 72.40/45.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2) | (~v100(constB8)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2) | (~v100(constB8)))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.26 tff(3987,plain,
% 72.40/45.26 (((~v90(constB8, bitIndex2)) | (~v100(constB8)) | v129(constB8, bitIndex2)) <=> ((~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2) | (~v100(constB8)))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.26 tff(3988,plain,
% 72.40/45.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB8, bitIndex2)) | (~v100(constB8)) | v129(constB8, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2) | (~v100(constB8))))),
% 72.40/45.26 inference(monotonicity,[status(thm)],[3987])).
% 72.40/45.26 tff(3989,plain,
% 72.40/45.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB8, bitIndex2)) | (~v100(constB8)) | v129(constB8, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2) | (~v100(constB8)))),
% 72.40/45.26 inference(transitivity,[status(thm)],[3988, 3986])).
% 72.40/45.26 tff(3990,plain,
% 72.40/45.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB8, bitIndex2)) | (~v100(constB8)) | v129(constB8, bitIndex2))),
% 72.40/45.26 inference(quant_inst,[status(thm)],[])).
% 72.40/45.26 tff(3991,plain,
% 72.40/45.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2) | (~v100(constB8))),
% 72.40/45.26 inference(modus_ponens,[status(thm)],[3990, 3989])).
% 72.40/45.26 tff(3992,plain,
% 72.40/45.26 (v129(constB8, bitIndex2) | (~v100(constB8))),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[3991, 503, 3985])).
% 72.40/45.26 tff(3993,plain,
% 72.40/45.26 (v129(constB8, bitIndex2)),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[3992, 3948])).
% 72.40/45.26 tff(3994,plain,
% 72.40/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex2) | (~v129(constB8, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex2) | (~v129(constB8, bitIndex2)))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.26 tff(3995,plain,
% 72.40/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex2) | (~v129(constB8, bitIndex2)))),
% 72.40/45.26 inference(quant_inst,[status(thm)],[])).
% 72.40/45.26 tff(3996,plain,
% 72.40/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex2) | (~v129(constB8, bitIndex2))),
% 72.40/45.26 inference(modus_ponens,[status(thm)],[3995, 3994])).
% 72.40/45.26 tff(3997,plain,
% 72.40/45.26 (v127(constB7, bitIndex2) | (~v129(constB8, bitIndex2))),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[3996, 488, 1246])).
% 72.40/45.26 tff(3998,plain,
% 72.40/45.26 (v127(constB7, bitIndex2)),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[3997, 3993])).
% 72.40/45.26 tff(3999,plain,
% 72.40/45.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.26 tff(4000,plain,
% 72.40/45.26 ((v26(constB7) | v130(constB7, bitIndex2) | (~v127(constB7, bitIndex2))) <=> ((~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.26 tff(4001,plain,
% 72.40/45.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB7) | v130(constB7, bitIndex2) | (~v127(constB7, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2)))),
% 72.40/45.26 inference(monotonicity,[status(thm)],[4000])).
% 72.40/45.26 tff(4002,plain,
% 72.40/45.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB7) | v130(constB7, bitIndex2) | (~v127(constB7, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2))),
% 72.40/45.26 inference(transitivity,[status(thm)],[4001, 3999])).
% 72.40/45.26 tff(4003,plain,
% 72.40/45.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB7) | v130(constB7, bitIndex2) | (~v127(constB7, bitIndex2)))),
% 72.40/45.26 inference(quant_inst,[status(thm)],[])).
% 72.40/45.26 tff(4004,plain,
% 72.40/45.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2)),
% 72.40/45.26 inference(modus_ponens,[status(thm)],[4003, 4002])).
% 72.40/45.26 tff(4005,plain,
% 72.40/45.26 (v130(constB7, bitIndex2)),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[4004, 470, 3998, 3955])).
% 72.40/45.26 tff(4006,plain,
% 72.40/45.26 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB7) | v123(constB7) | v122(constB7) | v121(constB7) | v120(constB7) | v119(constB7) | (~v130(constB7, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB7) | v123(constB7) | v122(constB7) | v121(constB7) | v120(constB7) | v119(constB7) | (~v130(constB7, bitIndex2)))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.26 tff(4007,plain,
% 72.40/45.26 ((v120(constB7) | v119(constB7) | v121(constB7) | v122(constB7) | v123(constB7) | v124(constB7) | (~v130(constB7, bitIndex2))) <=> (v124(constB7) | v123(constB7) | v122(constB7) | v121(constB7) | v120(constB7) | v119(constB7) | (~v130(constB7, bitIndex2)))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.26 tff(4008,plain,
% 72.40/45.26 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB7) | v119(constB7) | v121(constB7) | v122(constB7) | v123(constB7) | v124(constB7) | (~v130(constB7, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB7) | v123(constB7) | v122(constB7) | v121(constB7) | v120(constB7) | v119(constB7) | (~v130(constB7, bitIndex2))))),
% 72.40/45.26 inference(monotonicity,[status(thm)],[4007])).
% 72.40/45.26 tff(4009,plain,
% 72.40/45.26 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB7) | v119(constB7) | v121(constB7) | v122(constB7) | v123(constB7) | v124(constB7) | (~v130(constB7, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB7) | v123(constB7) | v122(constB7) | v121(constB7) | v120(constB7) | v119(constB7) | (~v130(constB7, bitIndex2)))),
% 72.40/45.26 inference(transitivity,[status(thm)],[4008, 4006])).
% 72.40/45.26 tff(4010,plain,
% 72.40/45.26 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB7) | v119(constB7) | v121(constB7) | v122(constB7) | v123(constB7) | v124(constB7) | (~v130(constB7, bitIndex2)))),
% 72.40/45.26 inference(quant_inst,[status(thm)],[])).
% 72.40/45.26 tff(4011,plain,
% 72.40/45.26 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB7) | v123(constB7) | v122(constB7) | v121(constB7) | v120(constB7) | v119(constB7) | (~v130(constB7, bitIndex2))),
% 72.40/45.26 inference(modus_ponens,[status(thm)],[4010, 4009])).
% 72.40/45.26 tff(4012,plain,
% 72.40/45.26 ($false),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[4011, 1955, 4005, 3984, 3980, 3976, 3972, 3968, 3963])).
% 72.40/45.26 tff(4013,plain,(v90(constB7, bitIndex1) | (~v90(constB8, bitIndex2)) | (~v90(constB8, bitIndex1)) | (~v90(constB8, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.40/45.26 tff(4014,plain,
% 72.40/45.26 (v90(constB7, bitIndex1)),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[4013, 3929, 3938, 3910])).
% 72.40/45.26 tff(4015,plain,
% 72.40/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1)))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.26 tff(4016,plain,
% 72.40/45.26 (((~nextState(constB6, constB7)) | v90(constB6, bitIndex1) | v100(constB7) | (~v90(constB7, bitIndex1))) <=> (v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1)))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.26 tff(4017,plain,
% 72.40/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex1) | v100(constB7) | (~v90(constB7, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1))))),
% 72.40/45.26 inference(monotonicity,[status(thm)],[4016])).
% 72.40/45.26 tff(4018,plain,
% 72.40/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex1) | v100(constB7) | (~v90(constB7, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1)))),
% 72.40/45.26 inference(transitivity,[status(thm)],[4017, 4015])).
% 72.40/45.26 tff(4019,plain,
% 72.40/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex1) | v100(constB7) | (~v90(constB7, bitIndex1)))),
% 72.40/45.26 inference(quant_inst,[status(thm)],[])).
% 72.40/45.26 tff(4020,plain,
% 72.40/45.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1))),
% 72.40/45.26 inference(modus_ponens,[status(thm)],[4019, 4018])).
% 72.40/45.26 tff(4021,plain,
% 72.40/45.26 (v90(constB6, bitIndex1) | v100(constB7) | (~v90(constB7, bitIndex1))),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[4020, 109, 1090])).
% 72.40/45.26 tff(4022,plain,
% 72.40/45.26 (v90(constB6, bitIndex1) | (~v90(constB7, bitIndex1))),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[4021, 1102])).
% 72.40/45.26 tff(4023,plain,
% 72.40/45.26 (v90(constB6, bitIndex1)),
% 72.40/45.26 inference(unit_resolution,[status(thm)],[4022, 4014])).
% 72.40/45.26 tff(4024,assumption,(~v100(constB8)), introduced(assumption)).
% 72.40/45.26 tff(4025,plain,
% 72.40/45.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB7, bitIndex0) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB7, bitIndex0) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex0)))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.26 tff(4026,plain,
% 72.40/45.26 (((~nextState(constB7, constB8)) | v90(constB7, bitIndex0) | v100(constB8) | (~v90(constB8, bitIndex0))) <=> (v90(constB7, bitIndex0) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex0)))),
% 72.40/45.26 inference(rewrite,[status(thm)],[])).
% 72.40/45.27 tff(4027,plain,
% 72.40/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v90(constB7, bitIndex0) | v100(constB8) | (~v90(constB8, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB7, bitIndex0) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex0))))),
% 72.40/45.27 inference(monotonicity,[status(thm)],[4026])).
% 72.40/45.27 tff(4028,plain,
% 72.40/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v90(constB7, bitIndex0) | v100(constB8) | (~v90(constB8, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB7, bitIndex0) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex0)))),
% 72.40/45.27 inference(transitivity,[status(thm)],[4027, 4025])).
% 72.40/45.27 tff(4029,plain,
% 72.40/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v90(constB7, bitIndex0) | v100(constB8) | (~v90(constB8, bitIndex0)))),
% 72.40/45.27 inference(quant_inst,[status(thm)],[])).
% 72.40/45.27 tff(4030,plain,
% 72.40/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB7, bitIndex0) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex0))),
% 72.40/45.27 inference(modus_ponens,[status(thm)],[4029, 4028])).
% 72.40/45.27 tff(4031,plain,
% 72.40/45.27 (v90(constB7, bitIndex0) | v100(constB8) | (~v90(constB8, bitIndex0))),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4030, 130, 1246])).
% 72.40/45.27 tff(4032,plain,
% 72.40/45.27 (v90(constB7, bitIndex0)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4031, 4024, 3910])).
% 72.40/45.27 tff(4033,plain,
% 72.40/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex0)))),
% 72.40/45.27 inference(rewrite,[status(thm)],[])).
% 72.40/45.27 tff(4034,plain,
% 72.40/45.27 (((~nextState(constB6, constB7)) | v90(constB6, bitIndex0) | v100(constB7) | (~v90(constB7, bitIndex0))) <=> (v90(constB6, bitIndex0) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex0)))),
% 72.40/45.27 inference(rewrite,[status(thm)],[])).
% 72.40/45.27 tff(4035,plain,
% 72.40/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex0) | v100(constB7) | (~v90(constB7, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex0))))),
% 72.40/45.27 inference(monotonicity,[status(thm)],[4034])).
% 72.40/45.27 tff(4036,plain,
% 72.40/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex0) | v100(constB7) | (~v90(constB7, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex0)))),
% 72.40/45.27 inference(transitivity,[status(thm)],[4035, 4033])).
% 72.40/45.27 tff(4037,plain,
% 72.40/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB6, constB7)) | v90(constB6, bitIndex0) | v100(constB7) | (~v90(constB7, bitIndex0)))),
% 72.40/45.27 inference(quant_inst,[status(thm)],[])).
% 72.40/45.27 tff(4038,plain,
% 72.40/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex0))),
% 72.40/45.27 inference(modus_ponens,[status(thm)],[4037, 4036])).
% 72.40/45.27 tff(4039,plain,
% 72.40/45.27 (v90(constB6, bitIndex0) | v100(constB7) | (~v90(constB7, bitIndex0))),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4038, 130, 1090])).
% 72.40/45.27 tff(4040,plain,
% 72.40/45.27 (v90(constB6, bitIndex0) | (~v90(constB7, bitIndex0))),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4039, 1102])).
% 72.40/45.27 tff(4041,plain,
% 72.40/45.27 (v90(constB6, bitIndex0)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4040, 4032])).
% 72.40/45.27 tff(4042,assumption,(v90(constB6, bitIndex1)), introduced(assumption)).
% 72.40/45.27 tff(4043,plain,
% 72.40/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB7, bitIndex2) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB7, bitIndex2) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex2)))),
% 72.40/45.27 inference(rewrite,[status(thm)],[])).
% 72.40/45.27 tff(4044,plain,
% 72.40/45.27 (((~nextState(constB7, constB8)) | v90(constB7, bitIndex2) | v100(constB8) | (~v90(constB8, bitIndex2))) <=> (v90(constB7, bitIndex2) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex2)))),
% 72.40/45.27 inference(rewrite,[status(thm)],[])).
% 72.40/45.27 tff(4045,plain,
% 72.40/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB7, constB8)) | v90(constB7, bitIndex2) | v100(constB8) | (~v90(constB8, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB7, bitIndex2) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex2))))),
% 72.40/45.27 inference(monotonicity,[status(thm)],[4044])).
% 72.40/45.27 tff(4046,plain,
% 72.40/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB7, constB8)) | v90(constB7, bitIndex2) | v100(constB8) | (~v90(constB8, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB7, bitIndex2) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex2)))),
% 72.40/45.27 inference(transitivity,[status(thm)],[4045, 4043])).
% 72.40/45.27 tff(4047,plain,
% 72.40/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB7, constB8)) | v90(constB7, bitIndex2) | v100(constB8) | (~v90(constB8, bitIndex2)))),
% 72.40/45.27 inference(quant_inst,[status(thm)],[])).
% 72.40/45.27 tff(4048,plain,
% 72.40/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB7, bitIndex2) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex2))),
% 72.40/45.27 inference(modus_ponens,[status(thm)],[4047, 4046])).
% 72.40/45.27 tff(4049,plain,
% 72.40/45.27 (v90(constB7, bitIndex2) | v100(constB8) | (~v90(constB8, bitIndex2))),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4048, 88, 1246])).
% 72.40/45.27 tff(4050,plain,
% 72.40/45.27 (v90(constB7, bitIndex2)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4049, 4024, 3985])).
% 72.40/45.27 tff(4051,plain,
% 72.40/45.27 (v90(constB6, bitIndex2)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[1110, 4050])).
% 72.40/45.27 tff(4052,assumption,(v90(constB6, bitIndex2)), introduced(assumption)).
% 72.40/45.27 tff(4053,assumption,(~v100(constB6)), introduced(assumption)).
% 72.40/45.27 tff(4054,plain,
% 72.40/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB5, bitIndex2) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB5, bitIndex2) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex2)))),
% 72.40/45.27 inference(rewrite,[status(thm)],[])).
% 72.40/45.27 tff(4055,plain,
% 72.40/45.27 (((~nextState(constB5, constB6)) | v90(constB5, bitIndex2) | v100(constB6) | (~v90(constB6, bitIndex2))) <=> (v90(constB5, bitIndex2) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex2)))),
% 72.40/45.27 inference(rewrite,[status(thm)],[])).
% 72.40/45.27 tff(4056,plain,
% 72.40/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v90(constB5, bitIndex2) | v100(constB6) | (~v90(constB6, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB5, bitIndex2) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex2))))),
% 72.40/45.27 inference(monotonicity,[status(thm)],[4055])).
% 72.40/45.27 tff(4057,plain,
% 72.40/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v90(constB5, bitIndex2) | v100(constB6) | (~v90(constB6, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB5, bitIndex2) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex2)))),
% 72.40/45.27 inference(transitivity,[status(thm)],[4056, 4054])).
% 72.40/45.27 tff(4058,plain,
% 72.40/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v90(constB5, bitIndex2) | v100(constB6) | (~v90(constB6, bitIndex2)))),
% 72.40/45.27 inference(quant_inst,[status(thm)],[])).
% 72.40/45.27 tff(4059,plain,
% 72.40/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB5, bitIndex2) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex2))),
% 72.40/45.27 inference(modus_ponens,[status(thm)],[4058, 4057])).
% 72.40/45.27 tff(4060,plain,
% 72.40/45.27 (v90(constB5, bitIndex2) | v100(constB6) | (~v90(constB6, bitIndex2))),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4059, 88, 1015])).
% 72.40/45.27 tff(4061,plain,
% 72.40/45.27 (v90(constB5, bitIndex2)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4060, 4053, 4052])).
% 72.40/45.27 tff(4062,plain,
% 72.40/45.27 (v90(constB4, bitIndex2)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[799, 4061])).
% 72.40/45.27 tff(4063,plain,
% 72.40/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB5, bitIndex1) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB5, bitIndex1) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex1)))),
% 72.40/45.27 inference(rewrite,[status(thm)],[])).
% 72.40/45.27 tff(4064,plain,
% 72.40/45.27 (((~nextState(constB5, constB6)) | v90(constB5, bitIndex1) | v100(constB6) | (~v90(constB6, bitIndex1))) <=> (v90(constB5, bitIndex1) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex1)))),
% 72.40/45.27 inference(rewrite,[status(thm)],[])).
% 72.40/45.27 tff(4065,plain,
% 72.40/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB5, constB6)) | v90(constB5, bitIndex1) | v100(constB6) | (~v90(constB6, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB5, bitIndex1) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex1))))),
% 72.40/45.27 inference(monotonicity,[status(thm)],[4064])).
% 72.40/45.27 tff(4066,plain,
% 72.40/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB5, constB6)) | v90(constB5, bitIndex1) | v100(constB6) | (~v90(constB6, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB5, bitIndex1) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex1)))),
% 72.40/45.27 inference(transitivity,[status(thm)],[4065, 4063])).
% 72.40/45.27 tff(4067,plain,
% 72.40/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB5, constB6)) | v90(constB5, bitIndex1) | v100(constB6) | (~v90(constB6, bitIndex1)))),
% 72.40/45.27 inference(quant_inst,[status(thm)],[])).
% 72.40/45.27 tff(4068,plain,
% 72.40/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB5, bitIndex1) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex1))),
% 72.40/45.27 inference(modus_ponens,[status(thm)],[4067, 4066])).
% 72.40/45.27 tff(4069,plain,
% 72.40/45.27 (v90(constB5, bitIndex1) | v100(constB6) | (~v90(constB6, bitIndex1))),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4068, 109, 1015])).
% 72.40/45.27 tff(4070,plain,
% 72.40/45.27 (v90(constB5, bitIndex1)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4069, 4053, 4042])).
% 72.40/45.27 tff(4071,plain,
% 72.40/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB4, bitIndex1) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex1)))),
% 72.40/45.27 inference(rewrite,[status(thm)],[])).
% 72.40/45.27 tff(4072,plain,
% 72.40/45.27 (((~nextState(constB4, constB5)) | v90(constB4, bitIndex1) | v100(constB5) | (~v90(constB5, bitIndex1))) <=> (v90(constB4, bitIndex1) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex1)))),
% 72.40/45.27 inference(rewrite,[status(thm)],[])).
% 72.40/45.27 tff(4073,plain,
% 72.40/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex1) | v100(constB5) | (~v90(constB5, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex1))))),
% 72.40/45.27 inference(monotonicity,[status(thm)],[4072])).
% 72.40/45.27 tff(4074,plain,
% 72.40/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex1) | v100(constB5) | (~v90(constB5, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB4, bitIndex1) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex1)))),
% 72.40/45.27 inference(transitivity,[status(thm)],[4073, 4071])).
% 72.40/45.27 tff(4075,plain,
% 72.40/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB4, constB5)) | v90(constB4, bitIndex1) | v100(constB5) | (~v90(constB5, bitIndex1)))),
% 72.40/45.27 inference(quant_inst,[status(thm)],[])).
% 72.40/45.27 tff(4076,plain,
% 72.40/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB4, bitIndex1) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex1))),
% 72.40/45.27 inference(modus_ponens,[status(thm)],[4075, 4074])).
% 72.40/45.27 tff(4077,plain,
% 72.40/45.27 (v90(constB4, bitIndex1) | v100(constB5) | (~v90(constB5, bitIndex1))),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4076, 109, 779])).
% 72.40/45.27 tff(4078,plain,
% 72.40/45.27 (v90(constB4, bitIndex1) | (~v90(constB5, bitIndex1))),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4077, 791])).
% 72.40/45.27 tff(4079,plain,
% 72.40/45.27 (v90(constB4, bitIndex1)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4078, 4070])).
% 72.40/45.27 tff(4080,plain,
% 72.40/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB3, bitIndex1) | (~nextState(constB3, constB4)) | v100(constB4) | (~v90(constB4, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB3, bitIndex1) | (~nextState(constB3, constB4)) | v100(constB4) | (~v90(constB4, bitIndex1)))),
% 72.40/45.27 inference(rewrite,[status(thm)],[])).
% 72.40/45.27 tff(4081,plain,
% 72.40/45.27 (((~nextState(constB3, constB4)) | v90(constB3, bitIndex1) | v100(constB4) | (~v90(constB4, bitIndex1))) <=> (v90(constB3, bitIndex1) | (~nextState(constB3, constB4)) | v100(constB4) | (~v90(constB4, bitIndex1)))),
% 72.40/45.27 inference(rewrite,[status(thm)],[])).
% 72.40/45.27 tff(4082,plain,
% 72.40/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB3, constB4)) | v90(constB3, bitIndex1) | v100(constB4) | (~v90(constB4, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB3, bitIndex1) | (~nextState(constB3, constB4)) | v100(constB4) | (~v90(constB4, bitIndex1))))),
% 72.40/45.27 inference(monotonicity,[status(thm)],[4081])).
% 72.40/45.27 tff(4083,plain,
% 72.40/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB3, constB4)) | v90(constB3, bitIndex1) | v100(constB4) | (~v90(constB4, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB3, bitIndex1) | (~nextState(constB3, constB4)) | v100(constB4) | (~v90(constB4, bitIndex1)))),
% 72.40/45.27 inference(transitivity,[status(thm)],[4082, 4080])).
% 72.40/45.27 tff(4084,plain,
% 72.40/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB3, constB4)) | v90(constB3, bitIndex1) | v100(constB4) | (~v90(constB4, bitIndex1)))),
% 72.40/45.27 inference(quant_inst,[status(thm)],[])).
% 72.40/45.27 tff(4085,plain,
% 72.40/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB3, bitIndex1) | (~nextState(constB3, constB4)) | v100(constB4) | (~v90(constB4, bitIndex1))),
% 72.40/45.27 inference(modus_ponens,[status(thm)],[4084, 4083])).
% 72.40/45.27 tff(4086,plain,
% 72.40/45.27 (v90(constB3, bitIndex1) | v100(constB4) | (~v90(constB4, bitIndex1))),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4085, 109, 686])).
% 72.40/45.27 tff(4087,plain,
% 72.40/45.27 (v100(constB4) | (~v90(constB4, bitIndex1))),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4086, 621])).
% 72.40/45.27 tff(4088,plain,
% 72.40/45.27 (v100(constB4)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4087, 4079])).
% 72.40/45.27 tff(4089,plain,
% 72.40/45.27 (v129(constB4, bitIndex2)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[771, 503, 4088, 4062])).
% 72.40/45.27 tff(4090,plain,
% 72.40/45.27 (v127(constB3, bitIndex2)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[764, 4089])).
% 72.40/45.27 tff(4091,plain,
% 72.40/45.27 (v130(constB3, bitIndex2)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[759, 4090])).
% 72.40/45.27 tff(4092,plain,
% 72.40/45.27 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB3)) | (~v130(constB3, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB3)) | (~v130(constB3, bitIndex2)))),
% 72.40/45.27 inference(rewrite,[status(thm)],[])).
% 72.40/45.27 tff(4093,plain,
% 72.40/45.27 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB3)) | (~v130(constB3, bitIndex2)))),
% 72.40/45.27 inference(quant_inst,[status(thm)],[])).
% 72.40/45.27 tff(4094,plain,
% 72.40/45.27 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB3)) | (~v130(constB3, bitIndex2))),
% 72.40/45.27 inference(modus_ponens,[status(thm)],[4093, 4092])).
% 72.40/45.27 tff(4095,plain,
% 72.40/45.27 (~v119(constB3)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4094, 456, 4091])).
% 72.40/45.27 tff(4096,plain,
% 72.40/45.27 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB4, bitIndex1)) | v129(constB4, bitIndex1) | (~v100(constB4)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB4, bitIndex1)) | v129(constB4, bitIndex1) | (~v100(constB4)))),
% 72.40/45.27 inference(rewrite,[status(thm)],[])).
% 72.40/45.27 tff(4097,plain,
% 72.40/45.27 (((~v90(constB4, bitIndex1)) | (~v100(constB4)) | v129(constB4, bitIndex1)) <=> ((~v90(constB4, bitIndex1)) | v129(constB4, bitIndex1) | (~v100(constB4)))),
% 72.40/45.27 inference(rewrite,[status(thm)],[])).
% 72.40/45.27 tff(4098,plain,
% 72.40/45.27 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB4, bitIndex1)) | (~v100(constB4)) | v129(constB4, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB4, bitIndex1)) | v129(constB4, bitIndex1) | (~v100(constB4))))),
% 72.40/45.27 inference(monotonicity,[status(thm)],[4097])).
% 72.40/45.27 tff(4099,plain,
% 72.40/45.27 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB4, bitIndex1)) | (~v100(constB4)) | v129(constB4, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB4, bitIndex1)) | v129(constB4, bitIndex1) | (~v100(constB4)))),
% 72.40/45.27 inference(transitivity,[status(thm)],[4098, 4096])).
% 72.40/45.27 tff(4100,plain,
% 72.40/45.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB4, bitIndex1)) | (~v100(constB4)) | v129(constB4, bitIndex1))),
% 72.40/45.27 inference(quant_inst,[status(thm)],[])).
% 72.40/45.27 tff(4101,plain,
% 72.40/45.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB4, bitIndex1)) | v129(constB4, bitIndex1) | (~v100(constB4))),
% 72.40/45.27 inference(modus_ponens,[status(thm)],[4100, 4099])).
% 72.40/45.27 tff(4102,plain,
% 72.40/45.27 (v129(constB4, bitIndex1)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4101, 603, 4088, 4079])).
% 72.40/45.27 tff(4103,plain,
% 72.40/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex1) | (~v129(constB4, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex1) | (~v129(constB4, bitIndex1)))),
% 72.40/45.27 inference(rewrite,[status(thm)],[])).
% 72.40/45.27 tff(4104,plain,
% 72.40/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex1) | (~v129(constB4, bitIndex1)))),
% 72.40/45.27 inference(quant_inst,[status(thm)],[])).
% 72.40/45.27 tff(4105,plain,
% 72.40/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex1) | (~v129(constB4, bitIndex1))),
% 72.40/45.27 inference(modus_ponens,[status(thm)],[4104, 4103])).
% 72.40/45.27 tff(4106,plain,
% 72.40/45.27 (v127(constB3, bitIndex1) | (~v129(constB4, bitIndex1))),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4105, 588, 686])).
% 72.40/45.27 tff(4107,plain,
% 72.40/45.27 (v127(constB3, bitIndex1)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4106, 4102])).
% 72.40/45.27 tff(4108,plain,
% 72.40/45.27 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB3, bitIndex1)) | v26(constB3) | v130(constB3, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB3, bitIndex1)) | v26(constB3) | v130(constB3, bitIndex1))),
% 72.40/45.27 inference(rewrite,[status(thm)],[])).
% 72.40/45.27 tff(4109,plain,
% 72.40/45.27 ((v26(constB3) | v130(constB3, bitIndex1) | (~v127(constB3, bitIndex1))) <=> ((~v127(constB3, bitIndex1)) | v26(constB3) | v130(constB3, bitIndex1))),
% 72.40/45.27 inference(rewrite,[status(thm)],[])).
% 72.40/45.27 tff(4110,plain,
% 72.40/45.27 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB3) | v130(constB3, bitIndex1) | (~v127(constB3, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB3, bitIndex1)) | v26(constB3) | v130(constB3, bitIndex1)))),
% 72.40/45.27 inference(monotonicity,[status(thm)],[4109])).
% 72.40/45.27 tff(4111,plain,
% 72.40/45.27 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB3) | v130(constB3, bitIndex1) | (~v127(constB3, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB3, bitIndex1)) | v26(constB3) | v130(constB3, bitIndex1))),
% 72.40/45.27 inference(transitivity,[status(thm)],[4110, 4108])).
% 72.40/45.27 tff(4112,plain,
% 72.40/45.27 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB3) | v130(constB3, bitIndex1) | (~v127(constB3, bitIndex1)))),
% 72.40/45.27 inference(quant_inst,[status(thm)],[])).
% 72.40/45.27 tff(4113,plain,
% 72.40/45.27 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB3, bitIndex1)) | v26(constB3) | v130(constB3, bitIndex1)),
% 72.40/45.27 inference(modus_ponens,[status(thm)],[4112, 4111])).
% 72.40/45.27 tff(4114,plain,
% 72.40/45.27 ((~v127(constB3, bitIndex1)) | v130(constB3, bitIndex1)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4113, 555, 674])).
% 72.40/45.27 tff(4115,plain,
% 72.40/45.27 (v130(constB3, bitIndex1)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4114, 4107])).
% 72.40/45.27 tff(4116,assumption,(v90(constB6, bitIndex0)), introduced(assumption)).
% 72.40/45.27 tff(4117,plain,
% 72.40/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB5, bitIndex0) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB5, bitIndex0) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex0)))),
% 72.40/45.27 inference(rewrite,[status(thm)],[])).
% 72.40/45.27 tff(4118,plain,
% 72.40/45.27 (((~nextState(constB5, constB6)) | v90(constB5, bitIndex0) | v100(constB6) | (~v90(constB6, bitIndex0))) <=> (v90(constB5, bitIndex0) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex0)))),
% 72.40/45.27 inference(rewrite,[status(thm)],[])).
% 72.40/45.27 tff(4119,plain,
% 72.40/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB5, constB6)) | v90(constB5, bitIndex0) | v100(constB6) | (~v90(constB6, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB5, bitIndex0) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex0))))),
% 72.40/45.27 inference(monotonicity,[status(thm)],[4118])).
% 72.40/45.27 tff(4120,plain,
% 72.40/45.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB5, constB6)) | v90(constB5, bitIndex0) | v100(constB6) | (~v90(constB6, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB5, bitIndex0) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex0)))),
% 72.40/45.27 inference(transitivity,[status(thm)],[4119, 4117])).
% 72.40/45.27 tff(4121,plain,
% 72.40/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB5, constB6)) | v90(constB5, bitIndex0) | v100(constB6) | (~v90(constB6, bitIndex0)))),
% 72.40/45.27 inference(quant_inst,[status(thm)],[])).
% 72.40/45.27 tff(4122,plain,
% 72.40/45.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB5, bitIndex0) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, bitIndex0))),
% 72.40/45.27 inference(modus_ponens,[status(thm)],[4121, 4120])).
% 72.40/45.27 tff(4123,plain,
% 72.40/45.27 (v90(constB5, bitIndex0) | v100(constB6) | (~v90(constB6, bitIndex0))),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4122, 130, 1015])).
% 72.40/45.27 tff(4124,plain,
% 72.40/45.27 (v90(constB5, bitIndex0)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4123, 4053, 4116])).
% 72.40/45.27 tff(4125,plain,
% 72.40/45.27 (v90(constB4, bitIndex0)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[954, 4124])).
% 72.40/45.27 tff(4126,plain,
% 72.40/45.27 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB4, bitIndex0)) | (~v121(constB4)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB4, bitIndex0)) | (~v121(constB4)))),
% 72.40/45.27 inference(rewrite,[status(thm)],[])).
% 72.40/45.27 tff(4127,plain,
% 72.40/45.27 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB4, bitIndex0)) | (~v121(constB4)))),
% 72.40/45.27 inference(quant_inst,[status(thm)],[])).
% 72.40/45.27 tff(4128,plain,
% 72.40/45.27 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB4, bitIndex0)) | (~v121(constB4))),
% 72.40/45.27 inference(modus_ponens,[status(thm)],[4127, 4126])).
% 72.40/45.27 tff(4129,plain,
% 72.40/45.27 (~v121(constB4)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4128, 3803, 4125])).
% 72.40/45.27 tff(4130,assumption,(v120(constB3)), introduced(assumption)).
% 72.40/45.27 tff(4131,plain,
% 72.40/45.27 (v118(constB3)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[649, 646, 4130])).
% 72.40/45.27 tff(4132,plain,
% 72.40/45.27 (v117(constB3)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[653, 243, 4131])).
% 72.40/45.27 tff(4133,plain,
% 72.40/45.27 (v116(constB3)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[657, 254, 4132])).
% 72.40/45.27 tff(4134,plain,
% 72.40/45.27 (v115(constB3)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[661, 265, 4133])).
% 72.40/45.27 tff(4135,plain,
% 72.40/45.27 (v114(constB3)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[665, 276, 4134])).
% 72.40/45.27 tff(4136,plain,
% 72.40/45.27 (v113(constB3)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[669, 287, 4135])).
% 72.40/45.27 tff(4137,plain,
% 72.40/45.27 (v112(constB3)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[678, 4136])).
% 72.40/45.27 tff(4138,plain,
% 72.40/45.27 (v108(constB3)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[682, 210, 4137])).
% 72.40/45.27 tff(4139,plain,
% 72.40/45.27 (v110(constB4)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[693, 4138])).
% 72.40/45.27 tff(4140,plain,
% 72.40/45.27 (v100(constB4)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[719, 4139])).
% 72.40/45.27 tff(4141,plain,
% 72.40/45.27 (~v130(constB3, bitIndex2)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[733, 730, 4130])).
% 72.40/45.27 tff(4142,plain,
% 72.40/45.27 (~v127(constB3, bitIndex2)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[759, 4141])).
% 72.40/45.27 tff(4143,plain,
% 72.40/45.27 (~v129(constB4, bitIndex2)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[764, 4142])).
% 72.40/45.27 tff(4144,plain,
% 72.40/45.27 ((~v90(constB4, bitIndex2)) | (~v100(constB4))),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[771, 503, 4143])).
% 72.40/45.27 tff(4145,plain,
% 72.40/45.27 (~v90(constB4, bitIndex2)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4144, 4140])).
% 72.40/45.27 tff(4146,plain,
% 72.40/45.27 (v130(constB3, bitIndex1)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[813, 810, 4130])).
% 72.40/45.27 tff(4147,plain,
% 72.40/45.27 (v127(constB3, bitIndex1)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[828, 4146])).
% 72.40/45.27 tff(4148,plain,
% 72.40/45.27 (v129(constB4, bitIndex1)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[843, 4147])).
% 72.40/45.27 tff(4149,plain,
% 72.40/45.27 (v90(constB4, bitIndex1) | (~v100(constB4))),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[860, 854, 4148])).
% 72.40/45.27 tff(4150,plain,
% 72.40/45.27 (v90(constB4, bitIndex1)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4149, 4140])).
% 72.40/45.27 tff(4151,plain,
% 72.40/45.27 (~v130(constB3, bitIndex0)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[894, 891, 4130])).
% 72.40/45.27 tff(4152,plain,
% 72.40/45.27 (~v127(constB3, bitIndex0)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[912, 4151])).
% 72.40/45.27 tff(4153,plain,
% 72.40/45.27 (~v129(constB4, bitIndex0)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[927, 4152])).
% 72.40/45.27 tff(4154,plain,
% 72.40/45.27 ((~v90(constB4, bitIndex0)) | (~v100(constB4))),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[944, 938, 4153])).
% 72.40/45.27 tff(4155,plain,
% 72.40/45.27 (~v90(constB4, bitIndex0)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4154, 4140])).
% 72.40/45.27 tff(4156,assumption,(~v121(constB4)), introduced(assumption)).
% 72.40/45.27 tff(4157,plain,
% 72.40/45.27 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB4, bitIndex0) | (~v90(constB4, bitIndex1)) | v90(constB4, bitIndex2) | v121(constB4))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB4, bitIndex0) | (~v90(constB4, bitIndex1)) | v90(constB4, bitIndex2) | v121(constB4))),
% 72.40/45.27 inference(rewrite,[status(thm)],[])).
% 72.40/45.27 tff(4158,plain,
% 72.40/45.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB4, bitIndex0) | (~v90(constB4, bitIndex1)) | v90(constB4, bitIndex2) | v121(constB4))),
% 72.40/45.27 inference(quant_inst,[status(thm)],[])).
% 72.40/45.27 tff(4159,plain,
% 72.40/45.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB4, bitIndex0) | (~v90(constB4, bitIndex1)) | v90(constB4, bitIndex2) | v121(constB4)),
% 72.40/45.27 inference(modus_ponens,[status(thm)],[4158, 4157])).
% 72.40/45.27 tff(4160,plain,
% 72.40/45.27 (v90(constB4, bitIndex0) | (~v90(constB4, bitIndex1)) | v90(constB4, bitIndex2)),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4159, 965, 4156])).
% 72.40/45.27 tff(4161,plain,
% 72.40/45.27 ($false),
% 72.40/45.27 inference(unit_resolution,[status(thm)],[4160, 4155, 4150, 4145])).
% 72.40/45.28 tff(4162,plain,((~v120(constB3)) | v121(constB4)), inference(lemma,lemma(discharge,[]))).
% 72.40/45.28 tff(4163,plain,
% 72.40/45.28 (~v120(constB3)),
% 72.40/45.28 inference(unit_resolution,[status(thm)],[4162, 4129])).
% 72.40/45.28 tff(4164,plain,
% 72.40/45.28 (v129(constB4, bitIndex0)),
% 72.40/45.28 inference(unit_resolution,[status(thm)],[944, 938, 4088, 4125])).
% 72.40/45.28 tff(4165,plain,
% 72.40/45.28 (v127(constB3, bitIndex0)),
% 72.40/45.28 inference(unit_resolution,[status(thm)],[927, 4164])).
% 72.40/45.28 tff(4166,plain,
% 72.40/45.28 (v130(constB3, bitIndex0)),
% 72.40/45.28 inference(unit_resolution,[status(thm)],[912, 4165])).
% 72.40/45.28 tff(4167,plain,
% 72.40/45.28 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB3)) | (~v130(constB3, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB3)) | (~v130(constB3, bitIndex0)))),
% 72.40/45.28 inference(rewrite,[status(thm)],[])).
% 72.40/45.28 tff(4168,plain,
% 72.40/45.28 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB3)) | (~v130(constB3, bitIndex0)))),
% 72.40/45.28 inference(quant_inst,[status(thm)],[])).
% 72.40/45.28 tff(4169,plain,
% 72.40/45.28 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB3)) | (~v130(constB3, bitIndex0))),
% 72.40/45.28 inference(modus_ponens,[status(thm)],[4168, 4167])).
% 72.40/45.28 tff(4170,plain,
% 72.40/45.28 (~v124(constB3)),
% 72.40/45.28 inference(unit_resolution,[status(thm)],[4169, 1992, 4166])).
% 72.40/45.28 tff(4171,plain,
% 72.40/45.28 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB3)) | (~v130(constB3, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB3)) | (~v130(constB3, bitIndex1)))),
% 72.40/45.28 inference(rewrite,[status(thm)],[])).
% 72.40/45.28 tff(4172,plain,
% 72.40/45.28 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB3)) | (~v130(constB3, bitIndex1)))),
% 72.40/45.28 inference(quant_inst,[status(thm)],[])).
% 72.40/45.28 tff(4173,plain,
% 72.40/45.28 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB3)) | (~v130(constB3, bitIndex1))),
% 72.40/45.28 inference(modus_ponens,[status(thm)],[4172, 4171])).
% 72.45/45.28 tff(4174,plain,
% 72.45/45.28 (~v123(constB3)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4173, 1622, 4115])).
% 72.45/45.28 tff(4175,plain,
% 72.45/45.28 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB3, bitIndex1) | (~v121(constB3)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB3, bitIndex1) | (~v121(constB3)))),
% 72.45/45.28 inference(rewrite,[status(thm)],[])).
% 72.45/45.28 tff(4176,plain,
% 72.45/45.28 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB3, bitIndex1) | (~v121(constB3)))),
% 72.45/45.28 inference(quant_inst,[status(thm)],[])).
% 72.45/45.28 tff(4177,plain,
% 72.45/45.28 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB3, bitIndex1) | (~v121(constB3))),
% 72.45/45.28 inference(modus_ponens,[status(thm)],[4176, 4175])).
% 72.45/45.28 tff(4178,plain,
% 72.45/45.28 (~v121(constB3)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4177, 3190, 621])).
% 72.45/45.28 tff(4179,plain,
% 72.45/45.28 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB3, bitIndex1) | (~v122(constB3)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB3, bitIndex1) | (~v122(constB3)))),
% 72.45/45.28 inference(rewrite,[status(thm)],[])).
% 72.45/45.28 tff(4180,plain,
% 72.45/45.28 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB3, bitIndex1) | (~v122(constB3)))),
% 72.45/45.28 inference(quant_inst,[status(thm)],[])).
% 72.45/45.28 tff(4181,plain,
% 72.45/45.28 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB3, bitIndex1) | (~v122(constB3))),
% 72.45/45.28 inference(modus_ponens,[status(thm)],[4180, 4179])).
% 72.45/45.28 tff(4182,plain,
% 72.45/45.28 (~v122(constB3)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4181, 3201, 621])).
% 72.45/45.28 tff(4183,plain,
% 72.45/45.28 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB3) | v121(constB3) | v120(constB3) | v119(constB3) | v122(constB3) | v124(constB3) | (~v130(constB3, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB3) | v121(constB3) | v120(constB3) | v119(constB3) | v122(constB3) | v124(constB3) | (~v130(constB3, bitIndex1)))),
% 72.45/45.28 inference(rewrite,[status(thm)],[])).
% 72.45/45.28 tff(4184,plain,
% 72.45/45.28 ((v120(constB3) | v119(constB3) | v121(constB3) | v122(constB3) | v123(constB3) | v124(constB3) | (~v130(constB3, bitIndex1))) <=> (v123(constB3) | v121(constB3) | v120(constB3) | v119(constB3) | v122(constB3) | v124(constB3) | (~v130(constB3, bitIndex1)))),
% 72.45/45.28 inference(rewrite,[status(thm)],[])).
% 72.45/45.28 tff(4185,plain,
% 72.45/45.28 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB3) | v119(constB3) | v121(constB3) | v122(constB3) | v123(constB3) | v124(constB3) | (~v130(constB3, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB3) | v121(constB3) | v120(constB3) | v119(constB3) | v122(constB3) | v124(constB3) | (~v130(constB3, bitIndex1))))),
% 72.45/45.28 inference(monotonicity,[status(thm)],[4184])).
% 72.45/45.28 tff(4186,plain,
% 72.45/45.28 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB3) | v119(constB3) | v121(constB3) | v122(constB3) | v123(constB3) | v124(constB3) | (~v130(constB3, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB3) | v121(constB3) | v120(constB3) | v119(constB3) | v122(constB3) | v124(constB3) | (~v130(constB3, bitIndex1)))),
% 72.45/45.28 inference(transitivity,[status(thm)],[4185, 4183])).
% 72.45/45.28 tff(4187,plain,
% 72.45/45.28 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB3) | v119(constB3) | v121(constB3) | v122(constB3) | v123(constB3) | v124(constB3) | (~v130(constB3, bitIndex1)))),
% 72.45/45.28 inference(quant_inst,[status(thm)],[])).
% 72.45/45.28 tff(4188,plain,
% 72.45/45.28 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB3) | v121(constB3) | v120(constB3) | v119(constB3) | v122(constB3) | v124(constB3) | (~v130(constB3, bitIndex1))),
% 72.45/45.28 inference(modus_ponens,[status(thm)],[4187, 4186])).
% 72.45/45.28 tff(4189,plain,
% 72.45/45.28 (v123(constB3) | v120(constB3) | v119(constB3) | v124(constB3) | (~v130(constB3, bitIndex1))),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4188, 2146, 4182, 4178])).
% 72.45/45.28 tff(4190,plain,
% 72.45/45.28 ($false),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4189, 4174, 4170, 4163, 4115, 4095])).
% 72.45/45.28 tff(4191,plain,(v100(constB6) | (~v90(constB6, bitIndex1)) | (~v90(constB6, bitIndex2)) | (~v90(constB6, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.45/45.28 tff(4192,plain,
% 72.45/45.28 (v100(constB6)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4191, 4051, 4042, 4041])).
% 72.45/45.28 tff(4193,plain,
% 72.45/45.28 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6)))),
% 72.45/45.28 inference(rewrite,[status(thm)],[])).
% 72.45/45.28 tff(4194,plain,
% 72.45/45.28 (((~v90(constB6, bitIndex1)) | (~v100(constB6)) | v129(constB6, bitIndex1)) <=> ((~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6)))),
% 72.45/45.28 inference(rewrite,[status(thm)],[])).
% 72.45/45.28 tff(4195,plain,
% 72.45/45.28 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | (~v100(constB6)) | v129(constB6, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6))))),
% 72.45/45.28 inference(monotonicity,[status(thm)],[4194])).
% 72.45/45.28 tff(4196,plain,
% 72.45/45.28 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | (~v100(constB6)) | v129(constB6, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6)))),
% 72.45/45.28 inference(transitivity,[status(thm)],[4195, 4193])).
% 72.45/45.28 tff(4197,plain,
% 72.45/45.28 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | (~v100(constB6)) | v129(constB6, bitIndex1))),
% 72.45/45.28 inference(quant_inst,[status(thm)],[])).
% 72.45/45.28 tff(4198,plain,
% 72.45/45.28 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6))),
% 72.45/45.28 inference(modus_ponens,[status(thm)],[4197, 4196])).
% 72.45/45.28 tff(4199,plain,
% 72.45/45.28 (v129(constB6, bitIndex1) | (~v100(constB6))),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4198, 603, 4042])).
% 72.45/45.28 tff(4200,plain,
% 72.45/45.28 (v129(constB6, bitIndex1)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4199, 4192])).
% 72.45/45.28 tff(4201,plain,
% 72.45/45.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex1) | (~v129(constB6, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex1) | (~v129(constB6, bitIndex1)))),
% 72.45/45.28 inference(rewrite,[status(thm)],[])).
% 72.45/45.28 tff(4202,plain,
% 72.45/45.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex1) | (~v129(constB6, bitIndex1)))),
% 72.45/45.28 inference(quant_inst,[status(thm)],[])).
% 72.45/45.28 tff(4203,plain,
% 72.45/45.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex1) | (~v129(constB6, bitIndex1))),
% 72.45/45.28 inference(modus_ponens,[status(thm)],[4202, 4201])).
% 72.45/45.28 tff(4204,plain,
% 72.45/45.28 (v127(constB5, bitIndex1) | (~v129(constB6, bitIndex1))),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4203, 588, 1015])).
% 72.45/45.28 tff(4205,plain,
% 72.45/45.28 (v127(constB5, bitIndex1)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4204, 4200])).
% 72.45/45.28 tff(4206,plain,
% 72.45/45.28 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1))),
% 72.45/45.28 inference(rewrite,[status(thm)],[])).
% 72.45/45.28 tff(4207,plain,
% 72.45/45.28 ((v26(constB5) | v130(constB5, bitIndex1) | (~v127(constB5, bitIndex1))) <=> ((~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1))),
% 72.45/45.28 inference(rewrite,[status(thm)],[])).
% 72.45/45.28 tff(4208,plain,
% 72.45/45.28 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB5) | v130(constB5, bitIndex1) | (~v127(constB5, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1)))),
% 72.45/45.28 inference(monotonicity,[status(thm)],[4207])).
% 72.45/45.28 tff(4209,plain,
% 72.45/45.28 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB5) | v130(constB5, bitIndex1) | (~v127(constB5, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1))),
% 72.45/45.28 inference(transitivity,[status(thm)],[4208, 4206])).
% 72.45/45.28 tff(4210,plain,
% 72.45/45.28 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB5) | v130(constB5, bitIndex1) | (~v127(constB5, bitIndex1)))),
% 72.45/45.28 inference(quant_inst,[status(thm)],[])).
% 72.45/45.28 tff(4211,plain,
% 72.45/45.28 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1)),
% 72.45/45.28 inference(modus_ponens,[status(thm)],[4210, 4209])).
% 72.45/45.28 tff(4212,plain,
% 72.45/45.28 ((~v127(constB5, bitIndex1)) | v130(constB5, bitIndex1)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4211, 555, 1000])).
% 72.45/45.28 tff(4213,plain,
% 72.45/45.28 (v130(constB5, bitIndex1)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4212, 4205])).
% 72.45/45.28 tff(4214,plain,
% 72.45/45.28 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB5)) | (~v130(constB5, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB5)) | (~v130(constB5, bitIndex1)))),
% 72.45/45.28 inference(rewrite,[status(thm)],[])).
% 72.45/45.28 tff(4215,plain,
% 72.45/45.28 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB5)) | (~v130(constB5, bitIndex1)))),
% 72.45/45.28 inference(quant_inst,[status(thm)],[])).
% 72.45/45.28 tff(4216,plain,
% 72.45/45.28 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB5)) | (~v130(constB5, bitIndex1))),
% 72.45/45.28 inference(modus_ponens,[status(thm)],[4215, 4214])).
% 72.45/45.28 tff(4217,plain,
% 72.45/45.28 (~v119(constB5)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4216, 541, 4213])).
% 72.45/45.28 tff(4218,plain,
% 72.45/45.28 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB6, bitIndex0)) | v129(constB6, bitIndex0) | (~v100(constB6)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | v129(constB6, bitIndex0) | (~v100(constB6)))),
% 72.45/45.28 inference(rewrite,[status(thm)],[])).
% 72.45/45.28 tff(4219,plain,
% 72.45/45.28 (((~v90(constB6, bitIndex0)) | (~v100(constB6)) | v129(constB6, bitIndex0)) <=> ((~v90(constB6, bitIndex0)) | v129(constB6, bitIndex0) | (~v100(constB6)))),
% 72.45/45.28 inference(rewrite,[status(thm)],[])).
% 72.45/45.28 tff(4220,plain,
% 72.45/45.28 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB6, bitIndex0)) | (~v100(constB6)) | v129(constB6, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB6, bitIndex0)) | v129(constB6, bitIndex0) | (~v100(constB6))))),
% 72.45/45.28 inference(monotonicity,[status(thm)],[4219])).
% 72.45/45.28 tff(4221,plain,
% 72.45/45.28 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB6, bitIndex0)) | (~v100(constB6)) | v129(constB6, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | v129(constB6, bitIndex0) | (~v100(constB6)))),
% 72.45/45.28 inference(transitivity,[status(thm)],[4220, 4218])).
% 72.45/45.28 tff(4222,plain,
% 72.45/45.28 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB6, bitIndex0)) | (~v100(constB6)) | v129(constB6, bitIndex0))),
% 72.45/45.28 inference(quant_inst,[status(thm)],[])).
% 72.45/45.28 tff(4223,plain,
% 72.45/45.28 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB6, bitIndex0)) | v129(constB6, bitIndex0) | (~v100(constB6))),
% 72.45/45.28 inference(modus_ponens,[status(thm)],[4222, 4221])).
% 72.45/45.28 tff(4224,plain,
% 72.45/45.28 (v129(constB6, bitIndex0) | (~v100(constB6))),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4223, 938, 4041])).
% 72.45/45.28 tff(4225,plain,
% 72.45/45.28 (v129(constB6, bitIndex0)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4224, 4192])).
% 72.45/45.28 tff(4226,plain,
% 72.45/45.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex0) | (~v129(constB6, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex0) | (~v129(constB6, bitIndex0)))),
% 72.45/45.28 inference(rewrite,[status(thm)],[])).
% 72.45/45.28 tff(4227,plain,
% 72.45/45.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex0) | (~v129(constB6, bitIndex0)))),
% 72.45/45.28 inference(quant_inst,[status(thm)],[])).
% 72.45/45.28 tff(4228,plain,
% 72.45/45.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex0) | (~v129(constB6, bitIndex0))),
% 72.45/45.28 inference(modus_ponens,[status(thm)],[4227, 4226])).
% 72.45/45.28 tff(4229,plain,
% 72.45/45.28 (v127(constB5, bitIndex0) | (~v129(constB6, bitIndex0))),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4228, 923, 1015])).
% 72.45/45.28 tff(4230,plain,
% 72.45/45.28 (v127(constB5, bitIndex0)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4229, 4225])).
% 72.45/45.28 tff(4231,plain,
% 72.45/45.28 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB5, bitIndex0)) | v26(constB5) | v130(constB5, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB5, bitIndex0)) | v26(constB5) | v130(constB5, bitIndex0))),
% 72.45/45.28 inference(rewrite,[status(thm)],[])).
% 72.45/45.28 tff(4232,plain,
% 72.45/45.28 ((v26(constB5) | v130(constB5, bitIndex0) | (~v127(constB5, bitIndex0))) <=> ((~v127(constB5, bitIndex0)) | v26(constB5) | v130(constB5, bitIndex0))),
% 72.45/45.28 inference(rewrite,[status(thm)],[])).
% 72.45/45.28 tff(4233,plain,
% 72.45/45.28 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB5) | v130(constB5, bitIndex0) | (~v127(constB5, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB5, bitIndex0)) | v26(constB5) | v130(constB5, bitIndex0)))),
% 72.45/45.28 inference(monotonicity,[status(thm)],[4232])).
% 72.45/45.28 tff(4234,plain,
% 72.45/45.28 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB5) | v130(constB5, bitIndex0) | (~v127(constB5, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB5, bitIndex0)) | v26(constB5) | v130(constB5, bitIndex0))),
% 72.45/45.28 inference(transitivity,[status(thm)],[4233, 4231])).
% 72.45/45.28 tff(4235,plain,
% 72.45/45.28 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB5) | v130(constB5, bitIndex0) | (~v127(constB5, bitIndex0)))),
% 72.45/45.28 inference(quant_inst,[status(thm)],[])).
% 72.45/45.28 tff(4236,plain,
% 72.45/45.28 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB5, bitIndex0)) | v26(constB5) | v130(constB5, bitIndex0)),
% 72.45/45.28 inference(modus_ponens,[status(thm)],[4235, 4234])).
% 72.45/45.28 tff(4237,plain,
% 72.45/45.28 ((~v127(constB5, bitIndex0)) | v130(constB5, bitIndex0)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4236, 905, 1000])).
% 72.45/45.28 tff(4238,plain,
% 72.45/45.28 (v130(constB5, bitIndex0)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4237, 4230])).
% 72.45/45.28 tff(4239,plain,
% 72.45/45.28 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB5)) | (~v130(constB5, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB5)) | (~v130(constB5, bitIndex0)))),
% 72.45/45.28 inference(rewrite,[status(thm)],[])).
% 72.45/45.28 tff(4240,plain,
% 72.45/45.28 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB5)) | (~v130(constB5, bitIndex0)))),
% 72.45/45.28 inference(quant_inst,[status(thm)],[])).
% 72.45/45.28 tff(4241,plain,
% 72.45/45.28 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB5)) | (~v130(constB5, bitIndex0))),
% 72.45/45.28 inference(modus_ponens,[status(thm)],[4240, 4239])).
% 72.45/45.28 tff(4242,plain,
% 72.45/45.28 (~v120(constB5)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4241, 891, 4238])).
% 72.45/45.28 tff(4243,plain,
% 72.45/45.28 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB5)) | (~v130(constB5, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB5)) | (~v130(constB5, bitIndex1)))),
% 72.45/45.28 inference(rewrite,[status(thm)],[])).
% 72.45/45.28 tff(4244,plain,
% 72.45/45.28 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB5)) | (~v130(constB5, bitIndex1)))),
% 72.45/45.28 inference(quant_inst,[status(thm)],[])).
% 72.45/45.28 tff(4245,plain,
% 72.45/45.28 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB5)) | (~v130(constB5, bitIndex1))),
% 72.45/45.28 inference(modus_ponens,[status(thm)],[4244, 4243])).
% 72.45/45.28 tff(4246,plain,
% 72.45/45.28 (~v122(constB5)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4245, 1389, 4213])).
% 72.45/45.28 tff(4247,plain,
% 72.45/45.28 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB5)) | (~v130(constB5, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB5)) | (~v130(constB5, bitIndex1)))),
% 72.45/45.28 inference(rewrite,[status(thm)],[])).
% 72.45/45.28 tff(4248,plain,
% 72.45/45.28 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB5)) | (~v130(constB5, bitIndex1)))),
% 72.45/45.28 inference(quant_inst,[status(thm)],[])).
% 72.45/45.28 tff(4249,plain,
% 72.45/45.28 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB5)) | (~v130(constB5, bitIndex1))),
% 72.45/45.28 inference(modus_ponens,[status(thm)],[4248, 4247])).
% 72.45/45.28 tff(4250,plain,
% 72.45/45.28 (~v123(constB5)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4249, 1622, 4213])).
% 72.45/45.28 tff(4251,plain,
% 72.45/45.28 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB5)) | (~v130(constB5, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB5)) | (~v130(constB5, bitIndex0)))),
% 72.45/45.28 inference(rewrite,[status(thm)],[])).
% 72.45/45.28 tff(4252,plain,
% 72.45/45.28 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB5)) | (~v130(constB5, bitIndex0)))),
% 72.45/45.28 inference(quant_inst,[status(thm)],[])).
% 72.45/45.28 tff(4253,plain,
% 72.45/45.28 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB5)) | (~v130(constB5, bitIndex0))),
% 72.45/45.28 inference(modus_ponens,[status(thm)],[4252, 4251])).
% 72.45/45.28 tff(4254,plain,
% 72.45/45.28 (~v124(constB5)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4253, 1992, 4238])).
% 72.45/45.28 tff(4255,assumption,(v121(constB5)), introduced(assumption)).
% 72.45/45.28 tff(4256,plain,
% 72.45/45.28 (v117(constB5)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[979, 976, 4255])).
% 72.45/45.28 tff(4257,plain,
% 72.45/45.28 (v116(constB5)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[983, 254, 4256])).
% 72.45/45.28 tff(4258,plain,
% 72.45/45.28 (v115(constB5)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[987, 265, 4257])).
% 72.45/45.28 tff(4259,plain,
% 72.45/45.28 (v114(constB5)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[991, 276, 4258])).
% 72.45/45.28 tff(4260,plain,
% 72.45/45.28 (v113(constB5)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[995, 287, 4259])).
% 72.45/45.28 tff(4261,plain,
% 72.45/45.28 (v112(constB5)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[1007, 4260])).
% 72.45/45.28 tff(4262,plain,
% 72.45/45.28 (v108(constB5)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[1011, 210, 4261])).
% 72.45/45.28 tff(4263,plain,
% 72.45/45.28 (v110(constB6)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[1022, 4262])).
% 72.45/45.28 tff(4264,plain,
% 72.45/45.28 (v100(constB6)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[1048, 4263])).
% 72.45/45.28 tff(4265,plain,
% 72.45/45.28 (~v130(constB5, bitIndex2)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[1062, 1059, 4255])).
% 72.45/45.28 tff(4266,plain,
% 72.45/45.28 (~v127(constB5, bitIndex2)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[1070, 4265])).
% 72.45/45.28 tff(4267,plain,
% 72.45/45.28 (~v129(constB6, bitIndex2)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[1075, 4266])).
% 72.45/45.28 tff(4268,plain,
% 72.45/45.28 ((~v90(constB6, bitIndex2)) | (~v100(constB6))),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[1082, 503, 4267])).
% 72.45/45.28 tff(4269,plain,
% 72.45/45.28 (~v90(constB6, bitIndex2)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4268, 4264])).
% 72.45/45.28 tff(4270,plain,
% 72.45/45.28 (~v90(constB7, bitIndex2)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[1110, 4269])).
% 72.45/45.28 tff(4271,plain,
% 72.45/45.28 (v100(constB8)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4049, 4270, 3985])).
% 72.45/45.28 tff(4272,plain,
% 72.45/45.28 (v129(constB8, bitIndex0)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[3949, 4271])).
% 72.45/45.28 tff(4273,plain,
% 72.45/45.28 (v127(constB7, bitIndex0)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[1449, 4272])).
% 72.45/45.28 tff(4274,plain,
% 72.45/45.28 (~v26(constB7)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[3954, 3417, 4273])).
% 72.45/45.28 tff(4275,plain,
% 72.45/45.28 (v130(constB7, bitIndex0)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[1443, 905, 4273, 4274])).
% 72.45/45.28 tff(4276,plain,
% 72.45/45.28 (v130(constB5, bitIndex1)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[1124, 1121, 4255])).
% 72.45/45.28 tff(4277,plain,
% 72.45/45.28 (v127(constB5, bitIndex1)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[1129, 4276])).
% 72.45/45.28 tff(4278,plain,
% 72.45/45.28 (v129(constB6, bitIndex1)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[1134, 4277])).
% 72.45/45.28 tff(4279,plain,
% 72.45/45.28 (v90(constB6, bitIndex1) | (~v100(constB6))),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[1141, 854, 4278])).
% 72.45/45.28 tff(4280,plain,
% 72.45/45.28 (v90(constB6, bitIndex1)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4279, 4264])).
% 72.45/45.28 tff(4281,plain,
% 72.45/45.28 (v90(constB7, bitIndex1)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[1151, 4280])).
% 72.45/45.28 tff(4282,plain,
% 72.45/45.28 (v130(constB5, bitIndex0)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[1165, 1162, 4255])).
% 72.45/45.28 tff(4283,plain,
% 72.45/45.28 (v127(constB5, bitIndex0)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[1170, 4282])).
% 72.45/45.28 tff(4284,plain,
% 72.45/45.28 (v129(constB6, bitIndex0)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[1175, 4283])).
% 72.45/45.28 tff(4285,plain,
% 72.45/45.28 (v90(constB6, bitIndex0) | (~v100(constB6))),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[1182, 401, 4284])).
% 72.45/45.28 tff(4286,plain,
% 72.45/45.28 (v90(constB6, bitIndex0)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4285, 4264])).
% 72.45/45.28 tff(4287,plain,
% 72.45/45.28 (v90(constB7, bitIndex0)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[1192, 4286])).
% 72.45/45.28 tff(4288,plain,
% 72.45/45.28 (v122(constB7)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[1206, 1203, 4287, 4281, 4270])).
% 72.45/45.28 tff(4289,plain,
% 72.45/45.28 ($false),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[1436, 1433, 4288, 4275])).
% 72.45/45.28 tff(4290,plain,((~v121(constB5)) | (~v90(constB8, bitIndex0)) | (~v90(constB8, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 72.45/45.28 tff(4291,plain,
% 72.45/45.28 (~v121(constB5)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4290, 3985, 3910])).
% 72.45/45.28 tff(4292,plain,
% 72.45/45.28 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB5) | v124(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | (~v130(constB5, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB5) | v124(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | (~v130(constB5, bitIndex1)))),
% 72.45/45.28 inference(rewrite,[status(thm)],[])).
% 72.45/45.28 tff(4293,plain,
% 72.45/45.28 ((v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex1))) <=> (v123(constB5) | v124(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | (~v130(constB5, bitIndex1)))),
% 72.45/45.28 inference(rewrite,[status(thm)],[])).
% 72.45/45.28 tff(4294,plain,
% 72.45/45.28 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB5) | v124(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | (~v130(constB5, bitIndex1))))),
% 72.45/45.28 inference(monotonicity,[status(thm)],[4293])).
% 72.45/45.28 tff(4295,plain,
% 72.45/45.28 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB5) | v124(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | (~v130(constB5, bitIndex1)))),
% 72.45/45.28 inference(transitivity,[status(thm)],[4294, 4292])).
% 72.45/45.28 tff(4296,plain,
% 72.45/45.28 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex1)))),
% 72.45/45.28 inference(quant_inst,[status(thm)],[])).
% 72.45/45.28 tff(4297,plain,
% 72.45/45.28 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB5) | v124(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | (~v130(constB5, bitIndex1))),
% 72.45/45.28 inference(modus_ponens,[status(thm)],[4296, 4295])).
% 72.45/45.28 tff(4298,plain,
% 72.45/45.28 (v123(constB5) | v124(constB5) | v122(constB5) | v120(constB5) | v119(constB5) | (~v130(constB5, bitIndex1))),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4297, 2146, 4291])).
% 72.45/45.28 tff(4299,plain,
% 72.45/45.28 ($false),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4298, 4254, 4250, 4213, 4246, 4242, 4217])).
% 72.45/45.28 tff(4300,plain,(v100(constB8) | (~v90(constB6, bitIndex1)) | (~v90(constB8, bitIndex2)) | (~v90(constB8, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.45/45.28 tff(4301,plain,
% 72.45/45.28 (v100(constB8)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4300, 4023, 3929, 3910])).
% 72.45/45.28 tff(4302,plain,
% 72.45/45.28 (v129(constB8, bitIndex2) | (~v100(constB8))),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[3991, 503, 3929])).
% 72.45/45.28 tff(4303,plain,
% 72.45/45.28 (v129(constB8, bitIndex2)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4302, 4301])).
% 72.45/45.28 tff(4304,plain,
% 72.45/45.28 (v127(constB7, bitIndex2)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[3997, 4303])).
% 72.45/45.28 tff(4305,plain,
% 72.45/45.28 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB7)) | (~v90(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB7)) | (~v90(constB7, bitIndex1)))),
% 72.45/45.28 inference(rewrite,[status(thm)],[])).
% 72.45/45.28 tff(4306,plain,
% 72.45/45.28 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB7)) | (~v90(constB7, bitIndex1)))),
% 72.45/45.28 inference(quant_inst,[status(thm)],[])).
% 72.45/45.28 tff(4307,plain,
% 72.45/45.28 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB7)) | (~v90(constB7, bitIndex1))),
% 72.45/45.28 inference(modus_ponens,[status(thm)],[4306, 4305])).
% 72.45/45.28 tff(4308,plain,
% 72.45/45.28 (~v119(constB7)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4307, 1908, 4014])).
% 72.45/45.28 tff(4309,plain,
% 72.45/45.28 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB7, bitIndex1)) | (~v120(constB7)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB7, bitIndex1)) | (~v120(constB7)))),
% 72.45/45.28 inference(rewrite,[status(thm)],[])).
% 72.45/45.28 tff(4310,plain,
% 72.45/45.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB7, bitIndex1)) | (~v120(constB7)))),
% 72.45/45.28 inference(quant_inst,[status(thm)],[])).
% 72.45/45.28 tff(4311,plain,
% 72.45/45.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB7, bitIndex1)) | (~v120(constB7))),
% 72.45/45.28 inference(modus_ponens,[status(thm)],[4310, 4309])).
% 72.45/45.28 tff(4312,plain,
% 72.45/45.28 (~v120(constB7)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4311, 1919, 4014])).
% 72.45/45.28 tff(4313,plain,
% 72.45/45.28 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB7, bitIndex1)) | (~v123(constB7)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB7, bitIndex1)) | (~v123(constB7)))),
% 72.45/45.28 inference(rewrite,[status(thm)],[])).
% 72.45/45.28 tff(4314,plain,
% 72.45/45.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB7, bitIndex1)) | (~v123(constB7)))),
% 72.45/45.28 inference(quant_inst,[status(thm)],[])).
% 72.45/45.28 tff(4315,plain,
% 72.45/45.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB7, bitIndex1)) | (~v123(constB7))),
% 72.45/45.28 inference(modus_ponens,[status(thm)],[4314, 4313])).
% 72.45/45.28 tff(4316,plain,
% 72.45/45.28 (~v123(constB7)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4315, 1930, 4014])).
% 72.45/45.28 tff(4317,plain,
% 72.45/45.28 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB7, bitIndex1)) | (~v124(constB7)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB7, bitIndex1)) | (~v124(constB7)))),
% 72.45/45.28 inference(rewrite,[status(thm)],[])).
% 72.45/45.28 tff(4318,plain,
% 72.45/45.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB7, bitIndex1)) | (~v124(constB7)))),
% 72.45/45.28 inference(quant_inst,[status(thm)],[])).
% 72.45/45.28 tff(4319,plain,
% 72.45/45.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB7, bitIndex1)) | (~v124(constB7))),
% 72.45/45.28 inference(modus_ponens,[status(thm)],[4318, 4317])).
% 72.45/45.28 tff(4320,plain,
% 72.45/45.28 (~v124(constB7)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4319, 1941, 4014])).
% 72.45/45.28 tff(4321,assumption,(~v127(constB7, bitIndex0)), introduced(assumption)).
% 72.45/45.28 tff(4322,plain,
% 72.45/45.28 (~v129(constB8, bitIndex0)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[1449, 4321])).
% 72.45/45.28 tff(4323,plain,
% 72.45/45.28 (~v100(constB8)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[3949, 4322])).
% 72.45/45.28 tff(4324,plain,
% 72.45/45.28 (~v110(constB8)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[1279, 4323])).
% 72.45/45.28 tff(4325,plain,
% 72.45/45.28 (~v108(constB7)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[1253, 4324])).
% 72.45/45.28 tff(4326,plain,
% 72.45/45.28 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB7) | (~v26(constB7)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB7) | (~v26(constB7)))),
% 72.45/45.28 inference(rewrite,[status(thm)],[])).
% 72.45/45.28 tff(4327,plain,
% 72.45/45.28 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB7) | (~v26(constB7)))),
% 72.45/45.28 inference(quant_inst,[status(thm)],[])).
% 72.45/45.28 tff(4328,plain,
% 72.45/45.28 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB7) | (~v26(constB7))),
% 72.45/45.28 inference(modus_ponens,[status(thm)],[4327, 4326])).
% 72.45/45.28 tff(4329,plain,
% 72.45/45.28 (~v26(constB7)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4328, 221, 4325])).
% 72.45/45.28 tff(4330,plain,
% 72.45/45.28 (v90(constB7, bitIndex0)),
% 72.45/45.28 inference(unit_resolution,[status(thm)],[4031, 4323, 3910])).
% 72.45/45.29 tff(4331,plain,
% 72.45/45.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB7, bitIndex0)) | (~v121(constB7)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB7, bitIndex0)) | (~v121(constB7)))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4332,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB7, bitIndex0)) | (~v121(constB7)))),
% 72.45/45.29 inference(quant_inst,[status(thm)],[])).
% 72.45/45.29 tff(4333,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB7, bitIndex0)) | (~v121(constB7))),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4332, 4331])).
% 72.45/45.29 tff(4334,plain,
% 72.45/45.29 (~v121(constB7)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4333, 3803, 4330])).
% 72.45/45.29 tff(4335,plain,
% 72.45/45.29 (v90(constB7, bitIndex2)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4049, 4323, 3985])).
% 72.45/45.29 tff(4336,plain,
% 72.45/45.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB7, bitIndex2)) | (~v122(constB7)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB7, bitIndex2)) | (~v122(constB7)))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4337,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB7, bitIndex2)) | (~v122(constB7)))),
% 72.45/45.29 inference(quant_inst,[status(thm)],[])).
% 72.45/45.29 tff(4338,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB7, bitIndex2)) | (~v122(constB7))),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4337, 4336])).
% 72.45/45.29 tff(4339,plain,
% 72.45/45.29 (~v122(constB7)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4338, 1853, 4335])).
% 72.45/45.29 tff(4340,assumption,(~v119(constB7)), introduced(assumption)).
% 72.45/45.29 tff(4341,assumption,(~v120(constB7)), introduced(assumption)).
% 72.45/45.29 tff(4342,assumption,(~v123(constB7)), introduced(assumption)).
% 72.45/45.29 tff(4343,assumption,(~v124(constB7)), introduced(assumption)).
% 72.45/45.29 tff(4344,plain,
% 72.45/45.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB7) | v123(constB7) | v122(constB7) | v121(constB7) | v120(constB7) | v119(constB7) | v130(constB7, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB7) | v123(constB7) | v122(constB7) | v121(constB7) | v120(constB7) | v119(constB7) | v130(constB7, bitIndex0))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4345,plain,
% 72.45/45.29 ((v120(constB7) | v119(constB7) | v121(constB7) | v122(constB7) | v123(constB7) | v124(constB7) | v130(constB7, bitIndex0)) <=> (v124(constB7) | v123(constB7) | v122(constB7) | v121(constB7) | v120(constB7) | v119(constB7) | v130(constB7, bitIndex0))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4346,plain,
% 72.45/45.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB7) | v119(constB7) | v121(constB7) | v122(constB7) | v123(constB7) | v124(constB7) | v130(constB7, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB7) | v123(constB7) | v122(constB7) | v121(constB7) | v120(constB7) | v119(constB7) | v130(constB7, bitIndex0)))),
% 72.45/45.29 inference(monotonicity,[status(thm)],[4345])).
% 72.45/45.29 tff(4347,plain,
% 72.45/45.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB7) | v119(constB7) | v121(constB7) | v122(constB7) | v123(constB7) | v124(constB7) | v130(constB7, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB7) | v123(constB7) | v122(constB7) | v121(constB7) | v120(constB7) | v119(constB7) | v130(constB7, bitIndex0))),
% 72.45/45.29 inference(transitivity,[status(thm)],[4346, 4344])).
% 72.45/45.29 tff(4348,plain,
% 72.45/45.29 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB7) | v119(constB7) | v121(constB7) | v122(constB7) | v123(constB7) | v124(constB7) | v130(constB7, bitIndex0))),
% 72.45/45.29 inference(quant_inst,[status(thm)],[])).
% 72.45/45.29 tff(4349,plain,
% 72.45/45.29 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB7) | v123(constB7) | v122(constB7) | v121(constB7) | v120(constB7) | v119(constB7) | v130(constB7, bitIndex0)),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4348, 4347])).
% 72.45/45.29 tff(4350,plain,
% 72.45/45.29 (v122(constB7) | v121(constB7) | v130(constB7, bitIndex0)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4349, 2192, 4343, 4342, 4341, 4340])).
% 72.45/45.29 tff(4351,plain,
% 72.45/45.29 (v130(constB7, bitIndex0)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4350, 4339, 4334])).
% 72.45/45.29 tff(4352,plain,
% 72.45/45.29 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB7) | (~v130(constB7, bitIndex0)) | v127(constB7, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB7) | (~v130(constB7, bitIndex0)) | v127(constB7, bitIndex0))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4353,plain,
% 72.45/45.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB7) | (~v130(constB7, bitIndex0)) | v127(constB7, bitIndex0))),
% 72.45/45.29 inference(quant_inst,[status(thm)],[])).
% 72.45/45.29 tff(4354,plain,
% 72.45/45.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB7) | (~v130(constB7, bitIndex0)) | v127(constB7, bitIndex0)),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4353, 4352])).
% 72.45/45.29 tff(4355,plain,
% 72.45/45.29 (v26(constB7) | (~v130(constB7, bitIndex0))),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4354, 179, 4321])).
% 72.45/45.29 tff(4356,plain,
% 72.45/45.29 ($false),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4355, 4351, 4329])).
% 72.45/45.29 tff(4357,plain,(v127(constB7, bitIndex0) | v124(constB7) | v123(constB7) | v120(constB7) | v119(constB7) | (~v90(constB8, bitIndex2)) | (~v90(constB8, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.45/45.29 tff(4358,plain,
% 72.45/45.29 (v127(constB7, bitIndex0)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4357, 4320, 4316, 4312, 4308, 3929, 3910])).
% 72.45/45.29 tff(4359,plain,
% 72.45/45.29 (~v26(constB7)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[3954, 3417, 4358])).
% 72.45/45.29 tff(4360,plain,
% 72.45/45.29 ((~v127(constB7, bitIndex2)) | v130(constB7, bitIndex2)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4004, 470, 4359])).
% 72.45/45.29 tff(4361,plain,
% 72.45/45.29 (v130(constB7, bitIndex2)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4360, 4304])).
% 72.45/45.29 tff(4362,plain,
% 72.45/45.29 (v130(constB7, bitIndex0)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[1443, 905, 4358, 4359])).
% 72.45/45.29 tff(4363,plain,
% 72.45/45.29 (~v122(constB7)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[1436, 1433, 4362])).
% 72.45/45.29 tff(4364,plain,
% 72.45/45.29 (v129(constB8, bitIndex1) | (~v100(constB8))),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[1412, 603, 3938])).
% 72.45/45.29 tff(4365,plain,
% 72.45/45.29 (v129(constB8, bitIndex1)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4364, 4301])).
% 72.45/45.29 tff(4366,plain,
% 72.45/45.29 (v127(constB7, bitIndex1)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[1405, 4365])).
% 72.45/45.29 tff(4367,plain,
% 72.45/45.29 ((~v127(constB7, bitIndex1)) | v130(constB7, bitIndex1)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[1399, 555, 4359])).
% 72.45/45.29 tff(4368,plain,
% 72.45/45.29 (v130(constB7, bitIndex1)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4367, 4366])).
% 72.45/45.29 tff(4369,plain,
% 72.45/45.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB7) | v123(constB7) | v122(constB7) | v121(constB7) | v120(constB7) | v119(constB7) | (~v130(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB7) | v123(constB7) | v122(constB7) | v121(constB7) | v120(constB7) | v119(constB7) | (~v130(constB7, bitIndex1)))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4370,plain,
% 72.45/45.29 ((v120(constB7) | v119(constB7) | v121(constB7) | v122(constB7) | v123(constB7) | v124(constB7) | (~v130(constB7, bitIndex1))) <=> (v124(constB7) | v123(constB7) | v122(constB7) | v121(constB7) | v120(constB7) | v119(constB7) | (~v130(constB7, bitIndex1)))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4371,plain,
% 72.45/45.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB7) | v119(constB7) | v121(constB7) | v122(constB7) | v123(constB7) | v124(constB7) | (~v130(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB7) | v123(constB7) | v122(constB7) | v121(constB7) | v120(constB7) | v119(constB7) | (~v130(constB7, bitIndex1))))),
% 72.45/45.29 inference(monotonicity,[status(thm)],[4370])).
% 72.45/45.29 tff(4372,plain,
% 72.45/45.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB7) | v119(constB7) | v121(constB7) | v122(constB7) | v123(constB7) | v124(constB7) | (~v130(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB7) | v123(constB7) | v122(constB7) | v121(constB7) | v120(constB7) | v119(constB7) | (~v130(constB7, bitIndex1)))),
% 72.45/45.29 inference(transitivity,[status(thm)],[4371, 4369])).
% 72.45/45.29 tff(4373,plain,
% 72.45/45.29 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB7) | v119(constB7) | v121(constB7) | v122(constB7) | v123(constB7) | v124(constB7) | (~v130(constB7, bitIndex1)))),
% 72.45/45.29 inference(quant_inst,[status(thm)],[])).
% 72.45/45.29 tff(4374,plain,
% 72.45/45.29 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB7) | v123(constB7) | v122(constB7) | v121(constB7) | v120(constB7) | v119(constB7) | (~v130(constB7, bitIndex1))),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4373, 4372])).
% 72.45/45.29 tff(4375,plain,
% 72.45/45.29 (v122(constB7) | v121(constB7) | (~v130(constB7, bitIndex1))),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4374, 2146, 4320, 4316, 4312, 4308])).
% 72.45/45.29 tff(4376,plain,
% 72.45/45.29 (v121(constB7)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4375, 4368, 4363])).
% 72.45/45.29 tff(4377,plain,
% 72.45/45.29 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB7)) | (~v130(constB7, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB7)) | (~v130(constB7, bitIndex2)))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4378,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB7)) | (~v130(constB7, bitIndex2)))),
% 72.45/45.29 inference(quant_inst,[status(thm)],[])).
% 72.45/45.29 tff(4379,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB7)) | (~v130(constB7, bitIndex2))),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4378, 4377])).
% 72.45/45.29 tff(4380,plain,
% 72.45/45.29 ($false),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4379, 1059, 4376, 4361])).
% 72.45/45.29 tff(4381,plain,(v100(constB10) | (~v90(constB8, bitIndex0)) | (~v90(constB10, bitIndex2)) | (~v90(constB10, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 72.45/45.29 tff(4382,plain,
% 72.45/45.29 (v100(constB10)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4381, 3691, 3910, 3667])).
% 72.45/45.29 tff(4383,plain,
% 72.45/45.29 (v129(constB10, bitIndex1)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[3668, 4382])).
% 72.45/45.29 tff(4384,plain,
% 72.45/45.29 (v127(constB9, bitIndex1)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[1638, 4383])).
% 72.45/45.29 tff(4385,plain,
% 72.45/45.29 (~v26(constB9)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[3673, 573, 4384])).
% 72.45/45.29 tff(4386,plain,
% 72.45/45.29 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB10, bitIndex0)) | v129(constB10, bitIndex0) | (~v100(constB10)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB10, bitIndex0)) | v129(constB10, bitIndex0) | (~v100(constB10)))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4387,plain,
% 72.45/45.29 (((~v90(constB10, bitIndex0)) | (~v100(constB10)) | v129(constB10, bitIndex0)) <=> ((~v90(constB10, bitIndex0)) | v129(constB10, bitIndex0) | (~v100(constB10)))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4388,plain,
% 72.45/45.29 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB10, bitIndex0)) | (~v100(constB10)) | v129(constB10, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB10, bitIndex0)) | v129(constB10, bitIndex0) | (~v100(constB10))))),
% 72.45/45.29 inference(monotonicity,[status(thm)],[4387])).
% 72.45/45.29 tff(4389,plain,
% 72.45/45.29 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB10, bitIndex0)) | (~v100(constB10)) | v129(constB10, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB10, bitIndex0)) | v129(constB10, bitIndex0) | (~v100(constB10)))),
% 72.45/45.29 inference(transitivity,[status(thm)],[4388, 4386])).
% 72.45/45.29 tff(4390,plain,
% 72.45/45.29 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB10, bitIndex0)) | (~v100(constB10)) | v129(constB10, bitIndex0))),
% 72.45/45.29 inference(quant_inst,[status(thm)],[])).
% 72.45/45.29 tff(4391,plain,
% 72.45/45.29 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB10, bitIndex0)) | v129(constB10, bitIndex0) | (~v100(constB10))),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4390, 4389])).
% 72.45/45.29 tff(4392,plain,
% 72.45/45.29 (v129(constB10, bitIndex0) | (~v100(constB10))),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4391, 938, 3658])).
% 72.45/45.29 tff(4393,plain,
% 72.45/45.29 (v129(constB10, bitIndex0)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4392, 4382])).
% 72.45/45.29 tff(4394,plain,
% 72.45/45.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB9, constB10)) | v127(constB9, bitIndex0) | (~v129(constB10, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB9, constB10)) | v127(constB9, bitIndex0) | (~v129(constB10, bitIndex0)))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4395,plain,
% 72.45/45.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB9, constB10)) | v127(constB9, bitIndex0) | (~v129(constB10, bitIndex0)))),
% 72.45/45.29 inference(quant_inst,[status(thm)],[])).
% 72.45/45.29 tff(4396,plain,
% 72.45/45.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB9, constB10)) | v127(constB9, bitIndex0) | (~v129(constB10, bitIndex0))),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4395, 4394])).
% 72.45/45.29 tff(4397,plain,
% 72.45/45.29 (v127(constB9, bitIndex0) | (~v129(constB10, bitIndex0))),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4396, 923, 1519])).
% 72.45/45.29 tff(4398,plain,
% 72.45/45.29 (v127(constB9, bitIndex0)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4397, 4393])).
% 72.45/45.29 tff(4399,plain,
% 72.45/45.29 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB9, bitIndex0)) | v26(constB9) | v130(constB9, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB9, bitIndex0)) | v26(constB9) | v130(constB9, bitIndex0))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4400,plain,
% 72.45/45.29 ((v26(constB9) | v130(constB9, bitIndex0) | (~v127(constB9, bitIndex0))) <=> ((~v127(constB9, bitIndex0)) | v26(constB9) | v130(constB9, bitIndex0))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4401,plain,
% 72.45/45.29 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB9) | v130(constB9, bitIndex0) | (~v127(constB9, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB9, bitIndex0)) | v26(constB9) | v130(constB9, bitIndex0)))),
% 72.45/45.29 inference(monotonicity,[status(thm)],[4400])).
% 72.45/45.29 tff(4402,plain,
% 72.45/45.29 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB9) | v130(constB9, bitIndex0) | (~v127(constB9, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB9, bitIndex0)) | v26(constB9) | v130(constB9, bitIndex0))),
% 72.45/45.29 inference(transitivity,[status(thm)],[4401, 4399])).
% 72.45/45.29 tff(4403,plain,
% 72.45/45.29 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB9) | v130(constB9, bitIndex0) | (~v127(constB9, bitIndex0)))),
% 72.45/45.29 inference(quant_inst,[status(thm)],[])).
% 72.45/45.29 tff(4404,plain,
% 72.45/45.29 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB9, bitIndex0)) | v26(constB9) | v130(constB9, bitIndex0)),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4403, 4402])).
% 72.45/45.29 tff(4405,plain,
% 72.45/45.29 (v130(constB9, bitIndex0)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4404, 905, 4398, 4385])).
% 72.45/45.29 tff(4406,plain,
% 72.45/45.29 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB9)) | (~v130(constB9, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB9)) | (~v130(constB9, bitIndex0)))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4407,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB9)) | (~v130(constB9, bitIndex0)))),
% 72.45/45.29 inference(quant_inst,[status(thm)],[])).
% 72.45/45.29 tff(4408,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB9)) | (~v130(constB9, bitIndex0))),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4407, 4406])).
% 72.45/45.29 tff(4409,plain,
% 72.45/45.29 (~v124(constB9)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4408, 1992, 4405])).
% 72.45/45.29 tff(4410,plain,
% 72.45/45.29 (v130(constB9, bitIndex1)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[1632, 555, 4384, 4385])).
% 72.45/45.29 tff(4411,plain,
% 72.45/45.29 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB9)) | (~v130(constB9, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB9)) | (~v130(constB9, bitIndex1)))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4412,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB9)) | (~v130(constB9, bitIndex1)))),
% 72.45/45.29 inference(quant_inst,[status(thm)],[])).
% 72.45/45.29 tff(4413,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB9)) | (~v130(constB9, bitIndex1))),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4412, 4411])).
% 72.45/45.29 tff(4414,plain,
% 72.45/45.29 (~v122(constB9)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4413, 1389, 4410])).
% 72.45/45.29 tff(4415,plain,
% 72.45/45.29 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB9)) | (~v130(constB9, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB9)) | (~v130(constB9, bitIndex0)))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4416,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB9)) | (~v130(constB9, bitIndex0)))),
% 72.45/45.29 inference(quant_inst,[status(thm)],[])).
% 72.45/45.29 tff(4417,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB9)) | (~v130(constB9, bitIndex0))),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4416, 4415])).
% 72.45/45.29 tff(4418,plain,
% 72.45/45.29 (~v120(constB9)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4417, 891, 4405])).
% 72.45/45.29 tff(4419,assumption,(~v119(constB9)), introduced(assumption)).
% 72.45/45.29 tff(4420,assumption,(~v121(constB9)), introduced(assumption)).
% 72.45/45.29 tff(4421,assumption,(~v123(constB9)), introduced(assumption)).
% 72.45/45.29 tff(4422,plain,
% 72.45/45.29 (v124(constB9) | v122(constB9) | v120(constB9) | (~v130(constB9, bitIndex1))),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[3755, 2146, 4421, 4420, 4419])).
% 72.45/45.29 tff(4423,plain,
% 72.45/45.29 ($false),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4422, 4418, 4414, 4410, 4409])).
% 72.45/45.29 tff(4424,plain,(v100(constB12) | v123(constB9) | v121(constB9) | v119(constB9) | (~v90(constB10, bitIndex1)) | (~v90(constB8, bitIndex0)) | (~v90(constB12, bitIndex2)) | (~v90(constB12, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.45/45.29 tff(4425,plain,
% 72.45/45.29 (v100(constB12)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4424, 3909, 3898, 3894, 3883, 3879, 3526, 3509])).
% 72.45/45.29 tff(4426,plain,
% 72.45/45.29 (v129(constB12, bitIndex2) | (~v100(constB12))),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[3616, 503, 3526])).
% 72.45/45.29 tff(4427,plain,
% 72.45/45.29 (v129(constB12, bitIndex2)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4426, 4425])).
% 72.45/45.29 tff(4428,plain,
% 72.45/45.29 (v127(constB11, bitIndex2)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[3622, 4427])).
% 72.45/45.29 tff(4429,plain,
% 72.45/45.29 (~v124(constB11)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[3781, 1941, 3882])).
% 72.45/45.29 tff(4430,plain,
% 72.45/45.29 (~v119(constB11)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[3769, 1908, 3882])).
% 72.45/45.29 tff(4431,plain,
% 72.45/45.29 (~v120(constB11)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[3773, 1919, 3882])).
% 72.45/45.29 tff(4432,plain,
% 72.45/45.29 (~v123(constB11)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[3777, 1930, 3882])).
% 72.45/45.29 tff(4433,plain,
% 72.45/45.29 (v127(constB11, bitIndex0)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[3825, 4432, 3509, 4431, 4430, 3526, 4429])).
% 72.45/45.29 tff(4434,plain,
% 72.45/45.29 (~v26(constB11)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[3829, 3417, 4433])).
% 72.45/45.29 tff(4435,plain,
% 72.45/45.29 ((~v127(constB11, bitIndex2)) | v130(constB11, bitIndex2)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[3629, 470, 4434])).
% 72.45/45.29 tff(4436,plain,
% 72.45/45.29 (v130(constB11, bitIndex2)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4435, 4428])).
% 72.45/45.29 tff(4437,plain,
% 72.45/45.29 (v130(constB11, bitIndex0)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[2002, 905, 4433, 4434])).
% 72.45/45.29 tff(4438,plain,
% 72.45/45.29 (~v122(constB11)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[3836, 1433, 4437])).
% 72.45/45.29 tff(4439,plain,
% 72.45/45.29 (v129(constB12, bitIndex1) | (~v100(constB12))),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[3565, 603, 3881])).
% 72.45/45.29 tff(4440,plain,
% 72.45/45.29 (v129(constB12, bitIndex1)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4439, 4425])).
% 72.45/45.29 tff(4441,plain,
% 72.45/45.29 (v127(constB11, bitIndex1)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[3571, 4440])).
% 72.45/45.29 tff(4442,plain,
% 72.45/45.29 ((~v127(constB11, bitIndex1)) | v130(constB11, bitIndex1)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[3582, 555, 4434])).
% 72.45/45.29 tff(4443,plain,
% 72.45/45.29 (v130(constB11, bitIndex1)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4442, 4441])).
% 72.45/45.29 tff(4444,plain,
% 72.45/45.29 (v122(constB11) | v121(constB11) | (~v130(constB11, bitIndex1))),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[3847, 2146, 4429, 4432, 4431, 4430])).
% 72.45/45.29 tff(4445,plain,
% 72.45/45.29 (v121(constB11)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4444, 4443, 4438])).
% 72.45/45.29 tff(4446,plain,
% 72.45/45.29 ($false),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[3852, 1059, 4445, 4436])).
% 72.45/45.29 tff(4447,plain,(v100(constB18) | (~v90(constB16, bitIndex1)) | (~v90(constB18, bitIndex2)) | (~v90(constB18, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.45/45.29 tff(4448,plain,
% 72.45/45.29 (v100(constB18)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4447, 3272, 3140, 3139])).
% 72.45/45.29 tff(4449,plain,
% 72.45/45.29 (v129(constB18, bitIndex2)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[3168, 4448])).
% 72.45/45.29 tff(4450,plain,
% 72.45/45.29 (v127(constB17, bitIndex2)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[2519, 4449])).
% 72.45/45.29 tff(4451,plain,
% 72.45/45.29 (~v26(constB17)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[3173, 754, 4450])).
% 72.45/45.29 tff(4452,plain,
% 72.45/45.29 (v130(constB17, bitIndex2)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[2513, 470, 4450, 4451])).
% 72.45/45.29 tff(4453,plain,
% 72.45/45.29 (~v121(constB17)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[2506, 1059, 4452])).
% 72.45/45.29 tff(4454,plain,
% 72.45/45.29 (v129(constB18, bitIndex0) | (~v100(constB18))),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[3212, 938, 3139])).
% 72.45/45.29 tff(4455,plain,
% 72.45/45.29 (v129(constB18, bitIndex0)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4454, 4448])).
% 72.45/45.29 tff(4456,plain,
% 72.45/45.29 (v127(constB17, bitIndex0)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[3218, 4455])).
% 72.45/45.29 tff(4457,plain,
% 72.45/45.29 (v130(constB17, bitIndex0)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[3225, 905, 4456, 4451])).
% 72.45/45.29 tff(4458,plain,
% 72.45/45.29 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB17)) | (~v130(constB17, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB17)) | (~v130(constB17, bitIndex0)))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4459,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB17)) | (~v130(constB17, bitIndex0)))),
% 72.45/45.29 inference(quant_inst,[status(thm)],[])).
% 72.45/45.29 tff(4460,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB17)) | (~v130(constB17, bitIndex0))),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4459, 4458])).
% 72.45/45.29 tff(4461,plain,
% 72.45/45.29 (~v122(constB17)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4460, 1433, 4457])).
% 72.45/45.29 tff(4462,plain,
% 72.45/45.29 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB17)) | (~v90(constB17, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB17)) | (~v90(constB17, bitIndex1)))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4463,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB17)) | (~v90(constB17, bitIndex1)))),
% 72.45/45.29 inference(quant_inst,[status(thm)],[])).
% 72.45/45.29 tff(4464,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB17)) | (~v90(constB17, bitIndex1))),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4463, 4462])).
% 72.45/45.29 tff(4465,plain,
% 72.45/45.29 (~v119(constB17)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4464, 1908, 3263])).
% 72.45/45.29 tff(4466,plain,
% 72.45/45.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB17, bitIndex1)) | (~v120(constB17)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB17, bitIndex1)) | (~v120(constB17)))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4467,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB17, bitIndex1)) | (~v120(constB17)))),
% 72.45/45.29 inference(quant_inst,[status(thm)],[])).
% 72.45/45.29 tff(4468,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB17, bitIndex1)) | (~v120(constB17))),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4467, 4466])).
% 72.45/45.29 tff(4469,plain,
% 72.45/45.29 (~v120(constB17)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4468, 1919, 3263])).
% 72.45/45.29 tff(4470,plain,
% 72.45/45.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB17, bitIndex1)) | (~v123(constB17)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB17, bitIndex1)) | (~v123(constB17)))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4471,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB17, bitIndex1)) | (~v123(constB17)))),
% 72.45/45.29 inference(quant_inst,[status(thm)],[])).
% 72.45/45.29 tff(4472,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB17, bitIndex1)) | (~v123(constB17))),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4471, 4470])).
% 72.45/45.29 tff(4473,plain,
% 72.45/45.29 (~v123(constB17)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4472, 1930, 3263])).
% 72.45/45.29 tff(4474,plain,
% 72.45/45.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB17, bitIndex1)) | (~v124(constB17)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB17, bitIndex1)) | (~v124(constB17)))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4475,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB17, bitIndex1)) | (~v124(constB17)))),
% 72.45/45.29 inference(quant_inst,[status(thm)],[])).
% 72.45/45.29 tff(4476,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB17, bitIndex1)) | (~v124(constB17))),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4475, 4474])).
% 72.45/45.29 tff(4477,plain,
% 72.45/45.29 (~v124(constB17)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4476, 1941, 3263])).
% 72.45/45.29 tff(4478,plain,
% 72.45/45.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB17) | v123(constB17) | v122(constB17) | v121(constB17) | v120(constB17) | v119(constB17) | (~v130(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB17) | v123(constB17) | v122(constB17) | v121(constB17) | v120(constB17) | v119(constB17) | (~v130(constB17, bitIndex2)))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4479,plain,
% 72.45/45.29 ((v120(constB17) | v119(constB17) | v121(constB17) | v122(constB17) | v123(constB17) | v124(constB17) | (~v130(constB17, bitIndex2))) <=> (v124(constB17) | v123(constB17) | v122(constB17) | v121(constB17) | v120(constB17) | v119(constB17) | (~v130(constB17, bitIndex2)))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4480,plain,
% 72.45/45.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB17) | v119(constB17) | v121(constB17) | v122(constB17) | v123(constB17) | v124(constB17) | (~v130(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB17) | v123(constB17) | v122(constB17) | v121(constB17) | v120(constB17) | v119(constB17) | (~v130(constB17, bitIndex2))))),
% 72.45/45.29 inference(monotonicity,[status(thm)],[4479])).
% 72.45/45.29 tff(4481,plain,
% 72.45/45.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB17) | v119(constB17) | v121(constB17) | v122(constB17) | v123(constB17) | v124(constB17) | (~v130(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB17) | v123(constB17) | v122(constB17) | v121(constB17) | v120(constB17) | v119(constB17) | (~v130(constB17, bitIndex2)))),
% 72.45/45.29 inference(transitivity,[status(thm)],[4480, 4478])).
% 72.45/45.29 tff(4482,plain,
% 72.45/45.29 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB17) | v119(constB17) | v121(constB17) | v122(constB17) | v123(constB17) | v124(constB17) | (~v130(constB17, bitIndex2)))),
% 72.45/45.29 inference(quant_inst,[status(thm)],[])).
% 72.45/45.29 tff(4483,plain,
% 72.45/45.29 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB17) | v123(constB17) | v122(constB17) | v121(constB17) | v120(constB17) | v119(constB17) | (~v130(constB17, bitIndex2))),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4482, 4481])).
% 72.45/45.29 tff(4484,plain,
% 72.45/45.29 (v122(constB17) | v121(constB17) | (~v130(constB17, bitIndex2))),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4483, 1955, 4477, 4473, 4469, 4465])).
% 72.45/45.29 tff(4485,plain,
% 72.45/45.29 ($false),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4484, 4461, 4453, 4452])).
% 72.45/45.29 tff(4486,plain,(v100(constB20) | (~v90(constB18, bitIndex2)) | (~v90(constB20, bitIndex1)) | (~v90(constB20, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.45/45.29 tff(4487,plain,
% 72.45/45.29 (v100(constB20)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4486, 3121, 3014, 2966])).
% 72.45/45.29 tff(4488,plain,
% 72.45/45.29 (v129(constB20, bitIndex1) | (~v100(constB20))),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[2759, 603, 3014])).
% 72.45/45.29 tff(4489,plain,
% 72.45/45.29 (v129(constB20, bitIndex1)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4488, 4487])).
% 72.45/45.29 tff(4490,plain,
% 72.45/45.29 (v127(constB19, bitIndex1)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[2752, 4489])).
% 72.45/45.29 tff(4491,plain,
% 72.45/45.29 (~v26(constB19)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[3049, 573, 4490])).
% 72.45/45.29 tff(4492,plain,
% 72.45/45.29 (v130(constB19, bitIndex1)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[2746, 555, 4490, 4491])).
% 72.45/45.29 tff(4493,plain,
% 72.45/45.29 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB19)) | (~v130(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB19)) | (~v130(constB19, bitIndex1)))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4494,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB19)) | (~v130(constB19, bitIndex1)))),
% 72.45/45.29 inference(quant_inst,[status(thm)],[])).
% 72.45/45.29 tff(4495,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB19)) | (~v130(constB19, bitIndex1))),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4494, 4493])).
% 72.45/45.29 tff(4496,plain,
% 72.45/45.29 (~v123(constB19)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4495, 1622, 4492])).
% 72.45/45.29 tff(4497,plain,
% 72.45/45.29 (v129(constB20, bitIndex0) | (~v100(constB20))),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[2793, 938, 2966])).
% 72.45/45.29 tff(4498,plain,
% 72.45/45.29 (v129(constB20, bitIndex0)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4497, 4487])).
% 72.45/45.29 tff(4499,plain,
% 72.45/45.29 (v127(constB19, bitIndex0)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[2786, 4498])).
% 72.45/45.29 tff(4500,plain,
% 72.45/45.29 (v130(constB19, bitIndex0)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[2780, 905, 4499, 4491])).
% 72.45/45.29 tff(4501,plain,
% 72.45/45.29 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB19)) | (~v130(constB19, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB19)) | (~v130(constB19, bitIndex0)))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4502,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB19)) | (~v130(constB19, bitIndex0)))),
% 72.45/45.29 inference(quant_inst,[status(thm)],[])).
% 72.45/45.29 tff(4503,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB19)) | (~v130(constB19, bitIndex0))),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4502, 4501])).
% 72.45/45.29 tff(4504,plain,
% 72.45/45.29 (~v124(constB19)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4503, 1992, 4500])).
% 72.45/45.29 tff(4505,plain,
% 72.45/45.29 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))))),
% 72.45/45.29 inference(bind,[status(th)],[])).
% 72.45/45.29 tff(4506,plain,
% 72.45/45.29 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 72.45/45.29 inference(quant_intro,[status(thm)],[4505])).
% 72.45/45.29 tff(4507,plain,
% 72.45/45.29 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4508,plain,
% 72.45/45.29 (^[VarCurr: $i] : rewrite(((~v90(VarCurr, bitIndex2)) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))))),
% 72.45/45.29 inference(bind,[status(th)],[])).
% 72.45/45.29 tff(4509,plain,
% 72.45/45.29 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 72.45/45.29 inference(quant_intro,[status(thm)],[4508])).
% 72.45/45.29 tff(4510,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_2')).
% 72.45/45.29 tff(4511,plain,
% 72.45/45.29 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4510, 4509])).
% 72.45/45.29 tff(4512,plain,
% 72.45/45.29 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4511, 4507])).
% 72.45/45.29 tff(4513,plain,(
% 72.45/45.29 ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 72.45/45.29 inference(skolemize,[status(sab)],[4512])).
% 72.45/45.29 tff(4514,plain,
% 72.45/45.29 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4513, 4506])).
% 72.45/45.29 tff(4515,plain,
% 72.45/45.29 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB19)) | (~v90(constB19, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB19)) | (~v90(constB19, bitIndex2)))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4516,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB19)) | (~v90(constB19, bitIndex2)))),
% 72.45/45.29 inference(quant_inst,[status(thm)],[])).
% 72.45/45.29 tff(4517,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB19)) | (~v90(constB19, bitIndex2))),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4516, 4515])).
% 72.45/45.29 tff(4518,plain,
% 72.45/45.29 (~v119(constB19)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4517, 4514, 3120])).
% 72.45/45.29 tff(4519,plain,
% 72.45/45.29 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr))))),
% 72.45/45.29 inference(bind,[status(th)],[])).
% 72.45/45.29 tff(4520,plain,
% 72.45/45.29 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))),
% 72.45/45.29 inference(quant_intro,[status(thm)],[4519])).
% 72.45/45.29 tff(4521,plain,
% 72.45/45.29 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4522,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_3')).
% 72.45/45.29 tff(4523,plain,
% 72.45/45.29 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4522, 4521])).
% 72.45/45.29 tff(4524,plain,(
% 72.45/45.29 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))),
% 72.45/45.29 inference(skolemize,[status(sab)],[4523])).
% 72.45/45.29 tff(4525,plain,
% 72.45/45.29 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4524, 4520])).
% 72.45/45.29 tff(4526,plain,
% 72.45/45.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB19, bitIndex2)) | (~v120(constB19)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB19, bitIndex2)) | (~v120(constB19)))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4527,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB19, bitIndex2)) | (~v120(constB19)))),
% 72.45/45.29 inference(quant_inst,[status(thm)],[])).
% 72.45/45.29 tff(4528,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB19, bitIndex2)) | (~v120(constB19))),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4527, 4526])).
% 72.45/45.29 tff(4529,plain,
% 72.45/45.29 (~v120(constB19)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4528, 4525, 3120])).
% 72.45/45.29 tff(4530,plain,
% 72.45/45.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB19, bitIndex2)) | (~v121(constB19)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB19, bitIndex2)) | (~v121(constB19)))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4531,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB19, bitIndex2)) | (~v121(constB19)))),
% 72.45/45.29 inference(quant_inst,[status(thm)],[])).
% 72.45/45.29 tff(4532,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB19, bitIndex2)) | (~v121(constB19))),
% 72.45/45.29 inference(modus_ponens,[status(thm)],[4531, 4530])).
% 72.45/45.29 tff(4533,plain,
% 72.45/45.29 (~v121(constB19)),
% 72.45/45.29 inference(unit_resolution,[status(thm)],[4532, 1842, 3120])).
% 72.45/45.29 tff(4534,plain,
% 72.45/45.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB19, bitIndex2)) | (~v122(constB19)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB19, bitIndex2)) | (~v122(constB19)))),
% 72.45/45.29 inference(rewrite,[status(thm)],[])).
% 72.45/45.29 tff(4535,plain,
% 72.45/45.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB19, bitIndex2)) | (~v122(constB19)))),
% 72.45/45.30 inference(quant_inst,[status(thm)],[])).
% 72.45/45.30 tff(4536,plain,
% 72.45/45.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB19, bitIndex2)) | (~v122(constB19))),
% 72.45/45.30 inference(modus_ponens,[status(thm)],[4535, 4534])).
% 72.45/45.30 tff(4537,plain,
% 72.45/45.30 (~v122(constB19)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4536, 1853, 3120])).
% 72.45/45.30 tff(4538,plain,
% 72.45/45.30 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB19) | v123(constB19) | v122(constB19) | v121(constB19) | v120(constB19) | v119(constB19) | (~v130(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB19) | v123(constB19) | v122(constB19) | v121(constB19) | v120(constB19) | v119(constB19) | (~v130(constB19, bitIndex1)))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4539,plain,
% 72.45/45.30 ((v120(constB19) | v119(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | (~v130(constB19, bitIndex1))) <=> (v124(constB19) | v123(constB19) | v122(constB19) | v121(constB19) | v120(constB19) | v119(constB19) | (~v130(constB19, bitIndex1)))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4540,plain,
% 72.45/45.30 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB19) | v119(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | (~v130(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB19) | v123(constB19) | v122(constB19) | v121(constB19) | v120(constB19) | v119(constB19) | (~v130(constB19, bitIndex1))))),
% 72.45/45.30 inference(monotonicity,[status(thm)],[4539])).
% 72.45/45.30 tff(4541,plain,
% 72.45/45.30 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB19) | v119(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | (~v130(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB19) | v123(constB19) | v122(constB19) | v121(constB19) | v120(constB19) | v119(constB19) | (~v130(constB19, bitIndex1)))),
% 72.45/45.30 inference(transitivity,[status(thm)],[4540, 4538])).
% 72.45/45.30 tff(4542,plain,
% 72.45/45.30 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB19) | v119(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | (~v130(constB19, bitIndex1)))),
% 72.45/45.30 inference(quant_inst,[status(thm)],[])).
% 72.45/45.30 tff(4543,plain,
% 72.45/45.30 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB19) | v123(constB19) | v122(constB19) | v121(constB19) | v120(constB19) | v119(constB19) | (~v130(constB19, bitIndex1))),
% 72.45/45.30 inference(modus_ponens,[status(thm)],[4542, 4541])).
% 72.45/45.30 tff(4544,plain,
% 72.45/45.30 (v124(constB19) | v123(constB19) | (~v130(constB19, bitIndex1))),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4543, 2146, 4537, 4533, 4529, 4518])).
% 72.45/45.30 tff(4545,plain,
% 72.45/45.30 ($false),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4544, 4504, 4496, 4492])).
% 72.45/45.30 tff(4546,plain,(v100(constB22)), inference(lemma,lemma(discharge,[]))).
% 72.45/45.30 tff(4547,plain,
% 72.45/45.30 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4548,plain,
% 72.45/45.30 (((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1)) <=> ((~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4549,plain,
% 72.45/45.30 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22))))),
% 72.45/45.30 inference(monotonicity,[status(thm)],[4548])).
% 72.45/45.30 tff(4550,plain,
% 72.45/45.30 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))),
% 72.45/45.30 inference(transitivity,[status(thm)],[4549, 4547])).
% 72.45/45.30 tff(4551,plain,
% 72.45/45.30 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1))),
% 72.45/45.30 inference(quant_inst,[status(thm)],[])).
% 72.45/45.30 tff(4552,plain,
% 72.45/45.30 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22))),
% 72.45/45.30 inference(modus_ponens,[status(thm)],[4551, 4550])).
% 72.45/45.30 tff(4553,plain,
% 72.45/45.30 ((~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4552, 603, 4546])).
% 72.45/45.30 tff(4554,plain,
% 72.45/45.30 (~v90(constB22, bitIndex1)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4553, 2832])).
% 72.45/45.30 tff(4555,plain,
% 72.45/45.30 ((~v1(constB23)) <=> (~v1(constB23))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4556,axiom,(~v1(constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_23_1_1')).
% 72.45/45.30 tff(4557,plain,
% 72.45/45.30 (~v1(constB23)),
% 72.45/45.30 inference(modus_ponens,[status(thm)],[4556, 4555])).
% 72.45/45.30 tff(4558,plain,
% 72.45/45.30 (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4559,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_22_1')).
% 72.45/45.30 tff(4560,plain,
% 72.45/45.30 (nextState(constB22, constB23)),
% 72.45/45.30 inference(modus_ponens,[status(thm)],[4559, 4558])).
% 72.45/45.30 tff(4561,plain,
% 72.45/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4562,plain,
% 72.45/45.30 (((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23)) <=> (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4563,plain,
% 72.45/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23))))),
% 72.45/45.30 inference(monotonicity,[status(thm)],[4562])).
% 72.45/45.30 tff(4564,plain,
% 72.45/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 72.45/45.30 inference(transitivity,[status(thm)],[4563, 4561])).
% 72.45/45.30 tff(4565,plain,
% 72.45/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))),
% 72.45/45.30 inference(quant_inst,[status(thm)],[])).
% 72.45/45.30 tff(4566,plain,
% 72.45/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23))),
% 72.45/45.30 inference(modus_ponens,[status(thm)],[4565, 4564])).
% 72.45/45.30 tff(4567,plain,
% 72.45/45.30 (~v101(constB23)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4566, 56, 4560, 4557])).
% 72.45/45.30 tff(4568,plain,
% 72.45/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4569,plain,
% 72.45/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))),
% 72.45/45.30 inference(quant_inst,[status(thm)],[])).
% 72.45/45.30 tff(4570,plain,
% 72.45/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23))),
% 72.45/45.30 inference(modus_ponens,[status(thm)],[4569, 4568])).
% 72.45/45.30 tff(4571,plain,
% 72.45/45.30 (v101(constB23) | (~v100(constB23))),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4570, 73, 4560])).
% 72.45/45.30 tff(4572,plain,
% 72.45/45.30 (~v100(constB23)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4571, 4567])).
% 72.45/45.30 tff(4573,plain,
% 72.45/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4574,plain,
% 72.45/45.30 (((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1))) <=> (v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4575,plain,
% 72.45/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1))))),
% 72.45/45.30 inference(monotonicity,[status(thm)],[4574])).
% 72.45/45.30 tff(4576,plain,
% 72.45/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 72.45/45.30 inference(transitivity,[status(thm)],[4575, 4573])).
% 72.45/45.30 tff(4577,plain,
% 72.45/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 72.45/45.30 inference(quant_inst,[status(thm)],[])).
% 72.45/45.30 tff(4578,plain,
% 72.45/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1))),
% 72.45/45.30 inference(modus_ponens,[status(thm)],[4577, 4576])).
% 72.45/45.30 tff(4579,plain,
% 72.45/45.30 (v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1))),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4578, 109, 4560])).
% 72.45/45.30 tff(4580,plain,
% 72.45/45.30 (v90(constB22, bitIndex1) | (~v90(constB23, bitIndex1))),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4579, 4572])).
% 72.45/45.30 tff(4581,plain,
% 72.45/45.30 (~v90(constB23, bitIndex1)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4580, 4554])).
% 72.45/45.30 tff(4582,plain,
% 72.45/45.30 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB21)) | v130(constB21, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB21)) | v130(constB21, bitIndex2))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4583,plain,
% 72.45/45.30 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB21)) | v130(constB21, bitIndex2))),
% 72.45/45.30 inference(quant_inst,[status(thm)],[])).
% 72.45/45.30 tff(4584,plain,
% 72.45/45.30 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB21)) | v130(constB21, bitIndex2)),
% 72.45/45.30 inference(modus_ponens,[status(thm)],[4583, 4582])).
% 72.45/45.30 tff(4585,plain,
% 72.45/45.30 (v130(constB21, bitIndex2)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4584, 1563, 2808])).
% 72.45/45.30 tff(4586,plain,
% 72.45/45.30 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4587,plain,
% 72.45/45.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2))),
% 72.45/45.30 inference(quant_inst,[status(thm)],[])).
% 72.45/45.30 tff(4588,plain,
% 72.45/45.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2)),
% 72.45/45.30 inference(modus_ponens,[status(thm)],[4587, 4586])).
% 72.45/45.30 tff(4589,plain,
% 72.45/45.30 ((~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4588, 1304, 2816])).
% 72.45/45.30 tff(4590,plain,
% 72.45/45.30 (v127(constB21, bitIndex2)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4589, 4585])).
% 72.45/45.30 tff(4591,plain,
% 72.45/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4592,plain,
% 72.45/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2))),
% 72.45/45.30 inference(quant_inst,[status(thm)],[])).
% 72.45/45.30 tff(4593,plain,
% 72.45/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2)),
% 72.45/45.30 inference(modus_ponens,[status(thm)],[4592, 4591])).
% 72.45/45.30 tff(4594,plain,
% 72.45/45.30 ((~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4593, 1319, 2827])).
% 72.45/45.30 tff(4595,plain,
% 72.45/45.30 (v129(constB22, bitIndex2)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4594, 4590])).
% 72.45/45.30 tff(4596,plain,
% 72.45/45.30 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4597,plain,
% 72.45/45.30 ((v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2))) <=> (v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4598,plain,
% 72.45/45.30 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22))))),
% 72.45/45.30 inference(monotonicity,[status(thm)],[4597])).
% 72.45/45.30 tff(4599,plain,
% 72.45/45.30 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))),
% 72.45/45.30 inference(transitivity,[status(thm)],[4598, 4596])).
% 72.45/45.30 tff(4600,plain,
% 72.45/45.30 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2)))),
% 72.45/45.30 inference(quant_inst,[status(thm)],[])).
% 72.45/45.30 tff(4601,plain,
% 72.45/45.30 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22))),
% 72.45/45.30 inference(modus_ponens,[status(thm)],[4600, 4599])).
% 72.45/45.30 tff(4602,plain,
% 72.45/45.30 (v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2))),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4601, 1334, 4546])).
% 72.45/45.30 tff(4603,plain,
% 72.45/45.30 (v90(constB22, bitIndex2)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4602, 4595])).
% 72.45/45.30 tff(4604,plain,
% 72.45/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4605,plain,
% 72.45/45.30 (((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2)) <=> ((~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4606,plain,
% 72.45/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2)))),
% 72.45/45.30 inference(monotonicity,[status(thm)],[4605])).
% 72.45/45.30 tff(4607,plain,
% 72.45/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))),
% 72.45/45.30 inference(transitivity,[status(thm)],[4606, 4604])).
% 72.45/45.30 tff(4608,plain,
% 72.45/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2))),
% 72.45/45.30 inference(quant_inst,[status(thm)],[])).
% 72.45/45.30 tff(4609,plain,
% 72.45/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2)),
% 72.45/45.30 inference(modus_ponens,[status(thm)],[4608, 4607])).
% 72.45/45.30 tff(4610,plain,
% 72.45/45.30 ((~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4609, 1370, 4560])).
% 72.45/45.30 tff(4611,plain,
% 72.45/45.30 ((~v90(constB22, bitIndex2)) | v90(constB23, bitIndex2)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4610, 4572])).
% 72.45/45.30 tff(4612,plain,
% 72.45/45.30 (v90(constB23, bitIndex2)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4611, 4603])).
% 72.45/45.30 tff(4613,plain,
% 72.45/45.30 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB21, bitIndex2)) | (~v122(constB21)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB21, bitIndex2)) | (~v122(constB21)))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4614,plain,
% 72.45/45.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB21, bitIndex2)) | (~v122(constB21)))),
% 72.45/45.30 inference(quant_inst,[status(thm)],[])).
% 72.45/45.30 tff(4615,plain,
% 72.45/45.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB21, bitIndex2)) | (~v122(constB21))),
% 72.45/45.30 inference(modus_ponens,[status(thm)],[4614, 4613])).
% 72.45/45.30 tff(4616,plain,
% 72.45/45.30 (~v122(constB21)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4615, 1853, 2736])).
% 72.45/45.30 tff(4617,plain,
% 72.45/45.30 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB21, bitIndex2)) | (~v120(constB21)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB21, bitIndex2)) | (~v120(constB21)))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4618,plain,
% 72.45/45.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB21, bitIndex2)) | (~v120(constB21)))),
% 72.45/45.30 inference(quant_inst,[status(thm)],[])).
% 72.45/45.30 tff(4619,plain,
% 72.45/45.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB21, bitIndex2)) | (~v120(constB21))),
% 72.45/45.30 inference(modus_ponens,[status(thm)],[4618, 4617])).
% 72.45/45.30 tff(4620,plain,
% 72.45/45.30 (~v120(constB21)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4619, 4525, 2736])).
% 72.45/45.30 tff(4621,plain,
% 72.45/45.30 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB21, bitIndex0) | (~v124(constB21)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB21, bitIndex0) | (~v124(constB21)))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4622,plain,
% 72.45/45.30 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB21, bitIndex0) | (~v124(constB21)))),
% 72.45/45.30 inference(quant_inst,[status(thm)],[])).
% 72.45/45.30 tff(4623,plain,
% 72.45/45.30 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB21, bitIndex0) | (~v124(constB21))),
% 72.45/45.30 inference(modus_ponens,[status(thm)],[4622, 4621])).
% 72.45/45.30 tff(4624,plain,
% 72.45/45.30 (~v124(constB21)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4623, 3745, 2804])).
% 72.45/45.30 tff(4625,plain,
% 72.45/45.30 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB21, bitIndex2)) | (~v121(constB21)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB21, bitIndex2)) | (~v121(constB21)))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4626,plain,
% 72.45/45.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB21, bitIndex2)) | (~v121(constB21)))),
% 72.45/45.30 inference(quant_inst,[status(thm)],[])).
% 72.45/45.30 tff(4627,plain,
% 72.45/45.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB21, bitIndex2)) | (~v121(constB21))),
% 72.45/45.30 inference(modus_ponens,[status(thm)],[4626, 4625])).
% 72.45/45.30 tff(4628,plain,
% 72.45/45.30 (~v121(constB21)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4627, 1842, 2736])).
% 72.45/45.30 tff(4629,assumption,(~v130(constB21, bitIndex0)), introduced(assumption)).
% 72.45/45.30 tff(4630,assumption,(~v122(constB21)), introduced(assumption)).
% 72.45/45.30 tff(4631,plain,
% 72.45/45.30 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB21)) | v130(constB21, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB21)) | v130(constB21, bitIndex0))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4632,plain,
% 72.45/45.30 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB21)) | v130(constB21, bitIndex0))),
% 72.45/45.30 inference(quant_inst,[status(thm)],[])).
% 72.45/45.30 tff(4633,plain,
% 72.45/45.30 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB21)) | v130(constB21, bitIndex0)),
% 72.45/45.30 inference(modus_ponens,[status(thm)],[4632, 4631])).
% 72.45/45.30 tff(4634,plain,
% 72.45/45.30 (~v123(constB21)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4633, 1666, 4629])).
% 72.45/45.30 tff(4635,plain,
% 72.45/45.30 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB21)) | v130(constB21, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB21)) | v130(constB21, bitIndex0))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4636,plain,
% 72.45/45.30 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB21)) | v130(constB21, bitIndex0))),
% 72.45/45.30 inference(quant_inst,[status(thm)],[])).
% 72.45/45.30 tff(4637,plain,
% 72.45/45.30 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB21)) | v130(constB21, bitIndex0)),
% 72.45/45.30 inference(modus_ponens,[status(thm)],[4636, 4635])).
% 72.45/45.30 tff(4638,plain,
% 72.45/45.30 (~v119(constB21)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4637, 165, 4629])).
% 72.45/45.30 tff(4639,assumption,(~v121(constB21)), introduced(assumption)).
% 72.45/45.30 tff(4640,assumption,(~v120(constB21)), introduced(assumption)).
% 72.45/45.30 tff(4641,assumption,(~v124(constB21)), introduced(assumption)).
% 72.45/45.30 tff(4642,plain,
% 72.45/45.30 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB21) | v123(constB21) | v122(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v130(constB21, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB21) | v123(constB21) | v122(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v130(constB21, bitIndex0))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4643,plain,
% 72.45/45.30 ((v120(constB21) | v119(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | v130(constB21, bitIndex0)) <=> (v124(constB21) | v123(constB21) | v122(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v130(constB21, bitIndex0))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4644,plain,
% 72.45/45.30 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB21) | v119(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | v130(constB21, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB21) | v123(constB21) | v122(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v130(constB21, bitIndex0)))),
% 72.45/45.30 inference(monotonicity,[status(thm)],[4643])).
% 72.45/45.30 tff(4645,plain,
% 72.45/45.30 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB21) | v119(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | v130(constB21, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB21) | v123(constB21) | v122(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v130(constB21, bitIndex0))),
% 72.45/45.30 inference(transitivity,[status(thm)],[4644, 4642])).
% 72.45/45.30 tff(4646,plain,
% 72.45/45.30 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB21) | v119(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | v130(constB21, bitIndex0))),
% 72.45/45.30 inference(quant_inst,[status(thm)],[])).
% 72.45/45.30 tff(4647,plain,
% 72.45/45.30 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB21) | v123(constB21) | v122(constB21) | v121(constB21) | v120(constB21) | v119(constB21) | v130(constB21, bitIndex0)),
% 72.45/45.30 inference(modus_ponens,[status(thm)],[4646, 4645])).
% 72.45/45.30 tff(4648,plain,
% 72.45/45.30 (v123(constB21) | v122(constB21) | v119(constB21) | v130(constB21, bitIndex0)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4647, 2192, 4641, 4640, 4639])).
% 72.45/45.30 tff(4649,plain,
% 72.45/45.30 ($false),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4648, 4638, 4634, 4630, 4629])).
% 72.45/45.30 tff(4650,plain,(v130(constB21, bitIndex0) | v122(constB21) | v124(constB21) | v120(constB21) | v121(constB21)), inference(lemma,lemma(discharge,[]))).
% 72.45/45.30 tff(4651,plain,
% 72.45/45.30 (v130(constB21, bitIndex0)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4650, 4628, 4624, 4620, 4616])).
% 72.45/45.30 tff(4652,plain,
% 72.45/45.30 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB21) | (~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB21) | (~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4653,plain,
% 72.45/45.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB21) | (~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0))),
% 72.45/45.30 inference(quant_inst,[status(thm)],[])).
% 72.45/45.30 tff(4654,plain,
% 72.45/45.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB21) | (~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0)),
% 72.45/45.30 inference(modus_ponens,[status(thm)],[4653, 4652])).
% 72.45/45.30 tff(4655,plain,
% 72.45/45.30 ((~v130(constB21, bitIndex0)) | v127(constB21, bitIndex0)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4654, 179, 2816])).
% 72.45/45.30 tff(4656,plain,
% 72.45/45.30 (v127(constB21, bitIndex0)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4655, 4651])).
% 72.45/45.30 tff(4657,plain,
% 72.45/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4658,plain,
% 72.45/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0))),
% 72.45/45.30 inference(quant_inst,[status(thm)],[])).
% 72.45/45.30 tff(4659,plain,
% 72.45/45.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0)),
% 72.45/45.30 inference(modus_ponens,[status(thm)],[4658, 4657])).
% 72.45/45.30 tff(4660,plain,
% 72.45/45.30 ((~v127(constB21, bitIndex0)) | v129(constB22, bitIndex0)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4659, 197, 2827])).
% 72.45/45.30 tff(4661,plain,
% 72.45/45.30 (v129(constB22, bitIndex0)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4660, 4656])).
% 72.45/45.30 tff(4662,plain,
% 72.45/45.30 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22)))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4663,plain,
% 72.45/45.30 ((v90(constB22, bitIndex0) | (~v100(constB22)) | (~v129(constB22, bitIndex0))) <=> (v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22)))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4664,plain,
% 72.45/45.30 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~v100(constB22)) | (~v129(constB22, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22))))),
% 72.45/45.30 inference(monotonicity,[status(thm)],[4663])).
% 72.45/45.30 tff(4665,plain,
% 72.45/45.30 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~v100(constB22)) | (~v129(constB22, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22)))),
% 72.45/45.30 inference(transitivity,[status(thm)],[4664, 4662])).
% 72.45/45.30 tff(4666,plain,
% 72.45/45.30 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB22, bitIndex0) | (~v100(constB22)) | (~v129(constB22, bitIndex0)))),
% 72.45/45.30 inference(quant_inst,[status(thm)],[])).
% 72.45/45.30 tff(4667,plain,
% 72.45/45.30 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0)) | (~v100(constB22))),
% 72.45/45.30 inference(modus_ponens,[status(thm)],[4666, 4665])).
% 72.45/45.30 tff(4668,plain,
% 72.45/45.30 (v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0))),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4667, 401, 4546])).
% 72.45/45.30 tff(4669,plain,
% 72.45/45.30 (v90(constB22, bitIndex0)),
% 72.45/45.30 inference(unit_resolution,[status(thm)],[4668, 4661])).
% 72.45/45.30 tff(4670,plain,
% 72.45/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4671,plain,
% 72.45/45.30 (((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0)) <=> ((~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0))),
% 72.45/45.30 inference(rewrite,[status(thm)],[])).
% 72.45/45.30 tff(4672,plain,
% 72.45/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0)))),
% 72.45/45.30 inference(monotonicity,[status(thm)],[4671])).
% 72.45/45.30 tff(4673,plain,
% 72.45/45.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0))),
% 72.45/45.31 inference(transitivity,[status(thm)],[4672, 4670])).
% 72.45/45.31 tff(4674,plain,
% 72.45/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4675,plain,
% 72.45/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex0)),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4674, 4673])).
% 72.45/45.31 tff(4676,plain,
% 72.45/45.31 ((~v90(constB22, bitIndex0)) | v100(constB23) | v90(constB23, bitIndex0)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4675, 437, 4560])).
% 72.45/45.31 tff(4677,plain,
% 72.45/45.31 ((~v90(constB22, bitIndex0)) | v90(constB23, bitIndex0)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4676, 4572])).
% 72.45/45.31 tff(4678,plain,
% 72.45/45.31 (v90(constB23, bitIndex0)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4677, 4669])).
% 72.45/45.31 tff(4679,plain,
% 72.45/45.31 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v124(constB23))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v124(constB23))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4680,plain,
% 72.45/45.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v124(constB23))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4681,plain,
% 72.45/45.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB23, bitIndex0)) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v124(constB23)),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4680, 4679])).
% 72.45/45.31 tff(4682,plain,
% 72.45/45.31 (v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v124(constB23)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4681, 1707, 4678])).
% 72.45/45.31 tff(4683,plain,
% 72.45/45.31 (v124(constB23)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4682, 4612, 4581])).
% 72.45/45.31 tff(4684,plain,
% 72.45/45.31 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB23) | (~v124(constB23)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB23) | (~v124(constB23)))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4685,plain,
% 72.45/45.31 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB23) | (~v124(constB23)))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4686,plain,
% 72.45/45.31 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB23) | (~v124(constB23))),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4685, 4684])).
% 72.45/45.31 tff(4687,plain,
% 72.45/45.31 (v114(constB23)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4686, 1718, 4683])).
% 72.45/45.31 tff(4688,plain,
% 72.45/45.31 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB23) | (~v114(constB23)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB23) | (~v114(constB23)))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4689,plain,
% 72.45/45.31 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB23) | (~v114(constB23)))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4690,plain,
% 72.45/45.31 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB23) | (~v114(constB23))),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4689, 4688])).
% 72.45/45.31 tff(4691,plain,
% 72.45/45.31 (v113(constB23)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4690, 287, 4687])).
% 72.45/45.31 tff(4692,assumption,(~v108(constB23)), introduced(assumption)).
% 72.45/45.31 tff(4693,plain,
% 72.45/45.31 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB23) | (~v112(constB23)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB23) | (~v112(constB23)))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4694,plain,
% 72.45/45.31 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB23) | (~v112(constB23)))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4695,plain,
% 72.45/45.31 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB23) | (~v112(constB23))),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4694, 4693])).
% 72.45/45.31 tff(4696,plain,
% 72.45/45.31 (~v112(constB23)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4695, 210, 4692])).
% 72.45/45.31 tff(4697,plain,
% 72.45/45.31 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB23) | (~v26(constB23)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB23) | (~v26(constB23)))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4698,plain,
% 72.45/45.31 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB23) | (~v26(constB23)))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4699,plain,
% 72.45/45.31 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB23) | (~v26(constB23))),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4698, 4697])).
% 72.45/45.31 tff(4700,plain,
% 72.45/45.31 (~v26(constB23)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4699, 221, 4692])).
% 72.45/45.31 tff(4701,assumption,(v113(constB23)), introduced(assumption)).
% 72.45/45.31 tff(4702,plain,
% 72.45/45.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | v112(constB23) | (~v113(constB23)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | v112(constB23) | (~v113(constB23)))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4703,plain,
% 72.45/45.31 ((v26(constB23) | (~v113(constB23)) | v112(constB23)) <=> (v26(constB23) | v112(constB23) | (~v113(constB23)))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4704,plain,
% 72.45/45.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | v112(constB23) | (~v113(constB23))))),
% 72.45/45.31 inference(monotonicity,[status(thm)],[4703])).
% 72.45/45.31 tff(4705,plain,
% 72.45/45.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | v112(constB23) | (~v113(constB23)))),
% 72.45/45.31 inference(transitivity,[status(thm)],[4704, 4702])).
% 72.45/45.31 tff(4706,plain,
% 72.45/45.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4707,plain,
% 72.45/45.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | v112(constB23) | (~v113(constB23))),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4706, 4705])).
% 72.45/45.31 tff(4708,plain,
% 72.45/45.31 (v26(constB23) | v112(constB23)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4707, 301, 4701])).
% 72.45/45.31 tff(4709,plain,
% 72.45/45.31 ($false),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4708, 4700, 4696])).
% 72.45/45.31 tff(4710,plain,(v108(constB23) | (~v113(constB23))), inference(lemma,lemma(discharge,[]))).
% 72.45/45.31 tff(4711,plain,
% 72.45/45.31 (v108(constB23)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4710, 4691])).
% 72.45/45.31 tff(4712,plain,
% 72.45/45.31 (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4713,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_23_1')).
% 72.45/45.31 tff(4714,plain,
% 72.45/45.31 (nextState(constB23, constB24)),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4713, 4712])).
% 72.45/45.31 tff(4715,plain,
% 72.45/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4716,plain,
% 72.45/45.31 (((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24)) <=> ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4717,plain,
% 72.45/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23))))),
% 72.45/45.31 inference(monotonicity,[status(thm)],[4716])).
% 72.45/45.31 tff(4718,plain,
% 72.45/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 72.45/45.31 inference(transitivity,[status(thm)],[4717, 4715])).
% 72.45/45.31 tff(4719,plain,
% 72.45/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4720,plain,
% 72.45/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23))),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4719, 4718])).
% 72.45/45.31 tff(4721,plain,
% 72.45/45.31 (v110(constB24) | (~v108(constB23))),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4720, 317, 4714])).
% 72.45/45.31 tff(4722,plain,
% 72.45/45.31 (v110(constB24)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4721, 4711])).
% 72.45/45.31 tff(4723,plain,
% 72.45/45.31 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4724,plain,
% 72.45/45.31 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4725,plain,
% 72.45/45.31 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24))),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4724, 4723])).
% 72.45/45.31 tff(4726,plain,
% 72.45/45.31 (~v104(constB24)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4725, 335, 4714, 4557])).
% 72.45/45.31 tff(4727,plain,
% 72.45/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4728,plain,
% 72.45/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4729,plain,
% 72.45/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v102(constB24) | v104(constB24)),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4728, 4727])).
% 72.45/45.31 tff(4730,plain,
% 72.45/45.31 (v102(constB24) | v104(constB24)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4729, 349, 4714])).
% 72.45/45.31 tff(4731,plain,
% 72.45/45.31 (v102(constB24)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4730, 4726])).
% 72.45/45.31 tff(4732,plain,
% 72.45/45.31 (v1(constB24) <=> v1(constB24)),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4733,axiom,(v1(constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_24_1')).
% 72.45/45.31 tff(4734,plain,
% 72.45/45.31 (v1(constB24)),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4733, 4732])).
% 72.45/45.31 tff(4735,plain,
% 72.45/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4736,plain,
% 72.45/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4737,plain,
% 72.45/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24))),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4736, 4735])).
% 72.45/45.31 tff(4738,plain,
% 72.45/45.31 (v101(constB24) | (~v102(constB24))),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4737, 367, 4714, 4734])).
% 72.45/45.31 tff(4739,plain,
% 72.45/45.31 (v101(constB24)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4738, 4731])).
% 72.45/45.31 tff(4740,plain,
% 72.45/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4741,plain,
% 72.45/45.31 (((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24)) <=> ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4742,plain,
% 72.45/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24))))),
% 72.45/45.31 inference(monotonicity,[status(thm)],[4741])).
% 72.45/45.31 tff(4743,plain,
% 72.45/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 72.45/45.31 inference(transitivity,[status(thm)],[4742, 4740])).
% 72.45/45.31 tff(4744,plain,
% 72.45/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4745,plain,
% 72.45/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24))),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4744, 4743])).
% 72.45/45.31 tff(4746,plain,
% 72.45/45.31 (v100(constB24) | (~v101(constB24)) | (~v110(constB24))),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4745, 382, 4714])).
% 72.45/45.31 tff(4747,plain,
% 72.45/45.31 (v100(constB24) | (~v110(constB24))),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4746, 4739])).
% 72.45/45.31 tff(4748,plain,
% 72.45/45.31 (v100(constB24)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4747, 4722])).
% 72.45/45.31 tff(4749,plain,
% 72.45/45.31 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB23)) | v130(constB23, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB23)) | v130(constB23, bitIndex1))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4750,plain,
% 72.45/45.31 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB23)) | v130(constB23, bitIndex1))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4751,plain,
% 72.45/45.31 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB23)) | v130(constB23, bitIndex1)),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4750, 4749])).
% 72.45/45.31 tff(4752,plain,
% 72.45/45.31 (v130(constB23, bitIndex1)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4751, 1867, 4683])).
% 72.45/45.31 tff(4753,assumption,(v26(constB23)), introduced(assumption)).
% 72.45/45.31 tff(4754,plain,
% 72.45/45.31 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB23))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4755,plain,
% 72.45/45.31 ($false),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4754, 37, 4753])).
% 72.45/45.31 tff(4756,plain,(~v26(constB23)), inference(lemma,lemma(discharge,[]))).
% 72.45/45.31 tff(4757,plain,
% 72.45/45.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4758,plain,
% 72.45/45.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4759,plain,
% 72.45/45.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1)),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4758, 4757])).
% 72.45/45.31 tff(4760,plain,
% 72.45/45.31 ((~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4759, 824, 4756])).
% 72.45/45.31 tff(4761,plain,
% 72.45/45.31 (v127(constB23, bitIndex1)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4760, 4752])).
% 72.45/45.31 tff(4762,plain,
% 72.45/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4763,plain,
% 72.45/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4764,plain,
% 72.45/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1)),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4763, 4762])).
% 72.45/45.31 tff(4765,plain,
% 72.45/45.31 ((~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4764, 839, 4714])).
% 72.45/45.31 tff(4766,plain,
% 72.45/45.31 (v129(constB24, bitIndex1)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4765, 4761])).
% 72.45/45.31 tff(4767,plain,
% 72.45/45.31 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4768,plain,
% 72.45/45.31 ((v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1))) <=> (v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4769,plain,
% 72.45/45.31 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24))))),
% 72.45/45.31 inference(monotonicity,[status(thm)],[4768])).
% 72.45/45.31 tff(4770,plain,
% 72.45/45.31 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))),
% 72.45/45.31 inference(transitivity,[status(thm)],[4769, 4767])).
% 72.45/45.31 tff(4771,plain,
% 72.45/45.31 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1)))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4772,plain,
% 72.45/45.31 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24))),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4771, 4770])).
% 72.45/45.31 tff(4773,plain,
% 72.45/45.31 (v90(constB24, bitIndex1) | (~v100(constB24))),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4772, 854, 4766])).
% 72.45/45.31 tff(4774,plain,
% 72.45/45.31 (v90(constB24, bitIndex1)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4773, 4748])).
% 72.45/45.31 tff(4775,plain,
% 72.45/45.31 ((~v1(constB25)) <=> (~v1(constB25))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4776,axiom,(~v1(constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_25_1_1')).
% 72.45/45.31 tff(4777,plain,
% 72.45/45.31 (~v1(constB25)),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4776, 4775])).
% 72.45/45.31 tff(4778,plain,
% 72.45/45.31 (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4779,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_24_1')).
% 72.45/45.31 tff(4780,plain,
% 72.45/45.31 (nextState(constB24, constB25)),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4779, 4778])).
% 72.45/45.31 tff(4781,plain,
% 72.45/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4782,plain,
% 72.45/45.31 (((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25)) <=> (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4783,plain,
% 72.45/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25))))),
% 72.45/45.31 inference(monotonicity,[status(thm)],[4782])).
% 72.45/45.31 tff(4784,plain,
% 72.45/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 72.45/45.31 inference(transitivity,[status(thm)],[4783, 4781])).
% 72.45/45.31 tff(4785,plain,
% 72.45/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4786,plain,
% 72.45/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25))),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4785, 4784])).
% 72.45/45.31 tff(4787,plain,
% 72.45/45.31 (~v101(constB25)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4786, 56, 4780, 4777])).
% 72.45/45.31 tff(4788,plain,
% 72.45/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4789,plain,
% 72.45/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4790,plain,
% 72.45/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25))),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4789, 4788])).
% 72.45/45.31 tff(4791,plain,
% 72.45/45.31 (v101(constB25) | (~v100(constB25))),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4790, 73, 4780])).
% 72.45/45.31 tff(4792,plain,
% 72.45/45.31 (~v100(constB25)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4791, 4787])).
% 72.45/45.31 tff(4793,plain,
% 72.45/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4794,plain,
% 72.45/45.31 (((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1)) <=> ((~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4795,plain,
% 72.45/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1)))),
% 72.45/45.31 inference(monotonicity,[status(thm)],[4794])).
% 72.45/45.31 tff(4796,plain,
% 72.45/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))),
% 72.45/45.31 inference(transitivity,[status(thm)],[4795, 4793])).
% 72.45/45.31 tff(4797,plain,
% 72.45/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4798,plain,
% 72.45/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1)),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4797, 4796])).
% 72.45/45.31 tff(4799,plain,
% 72.45/45.31 ((~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4798, 872, 4780])).
% 72.45/45.31 tff(4800,plain,
% 72.45/45.31 ((~v90(constB24, bitIndex1)) | v90(constB25, bitIndex1)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4799, 4792])).
% 72.45/45.31 tff(4801,plain,
% 72.45/45.31 (v90(constB25, bitIndex1)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4800, 4774])).
% 72.45/45.31 tff(4802,plain,
% 72.45/45.31 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB25)) | (~v90(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB25)) | (~v90(constB25, bitIndex1)))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4803,plain,
% 72.45/45.31 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB25)) | (~v90(constB25, bitIndex1)))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4804,plain,
% 72.45/45.31 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB25)) | (~v90(constB25, bitIndex1))),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4803, 4802])).
% 72.45/45.31 tff(4805,plain,
% 72.45/45.31 (~v119(constB25)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4804, 1908, 4801])).
% 72.45/45.31 tff(4806,plain,
% 72.45/45.31 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v123(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v123(constB25)))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4807,plain,
% 72.45/45.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v123(constB25)))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4808,plain,
% 72.45/45.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v123(constB25))),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4807, 4806])).
% 72.45/45.31 tff(4809,plain,
% 72.45/45.31 (~v123(constB25)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4808, 1930, 4801])).
% 72.45/45.31 tff(4810,plain,
% 72.45/45.31 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB23)) | v130(constB23, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB23)) | v130(constB23, bitIndex2))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4811,plain,
% 72.45/45.31 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB23)) | v130(constB23, bitIndex2))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4812,plain,
% 72.45/45.31 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB23)) | v130(constB23, bitIndex2)),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4811, 4810])).
% 72.45/45.31 tff(4813,plain,
% 72.45/45.31 (v130(constB23, bitIndex2)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4812, 1786, 4683])).
% 72.45/45.31 tff(4814,plain,
% 72.45/45.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4815,plain,
% 72.45/45.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4816,plain,
% 72.45/45.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2)),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4815, 4814])).
% 72.45/45.31 tff(4817,plain,
% 72.45/45.31 ((~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4816, 1304, 4756])).
% 72.45/45.31 tff(4818,plain,
% 72.45/45.31 (v127(constB23, bitIndex2)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4817, 4813])).
% 72.45/45.31 tff(4819,plain,
% 72.45/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4820,plain,
% 72.45/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4821,plain,
% 72.45/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2)),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4820, 4819])).
% 72.45/45.31 tff(4822,plain,
% 72.45/45.31 ((~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4821, 1319, 4714])).
% 72.45/45.31 tff(4823,plain,
% 72.45/45.31 (v129(constB24, bitIndex2)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4822, 4818])).
% 72.45/45.31 tff(4824,plain,
% 72.45/45.31 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4825,plain,
% 72.45/45.31 ((v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2))) <=> (v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4826,plain,
% 72.45/45.31 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24))))),
% 72.45/45.31 inference(monotonicity,[status(thm)],[4825])).
% 72.45/45.31 tff(4827,plain,
% 72.45/45.31 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))),
% 72.45/45.31 inference(transitivity,[status(thm)],[4826, 4824])).
% 72.45/45.31 tff(4828,plain,
% 72.45/45.31 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2)))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4829,plain,
% 72.45/45.31 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24))),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4828, 4827])).
% 72.45/45.31 tff(4830,plain,
% 72.45/45.31 (v90(constB24, bitIndex2) | (~v100(constB24))),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4829, 1334, 4823])).
% 72.45/45.31 tff(4831,plain,
% 72.45/45.31 (v90(constB24, bitIndex2)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4830, 4748])).
% 72.45/45.31 tff(4832,plain,
% 72.45/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4833,plain,
% 72.45/45.31 (((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2)) <=> ((~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4834,plain,
% 72.45/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2)))),
% 72.45/45.31 inference(monotonicity,[status(thm)],[4833])).
% 72.45/45.31 tff(4835,plain,
% 72.45/45.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))),
% 72.45/45.31 inference(transitivity,[status(thm)],[4834, 4832])).
% 72.45/45.31 tff(4836,plain,
% 72.45/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4837,plain,
% 72.45/45.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2)),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4836, 4835])).
% 72.45/45.31 tff(4838,plain,
% 72.45/45.31 ((~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4837, 1370, 4780])).
% 72.45/45.31 tff(4839,plain,
% 72.45/45.31 ((~v90(constB24, bitIndex2)) | v90(constB25, bitIndex2)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4838, 4792])).
% 72.45/45.31 tff(4840,plain,
% 72.45/45.31 (v90(constB25, bitIndex2)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4839, 4831])).
% 72.45/45.31 tff(4841,plain,
% 72.45/45.31 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB25, bitIndex2)) | (~v121(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB25, bitIndex2)) | (~v121(constB25)))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4842,plain,
% 72.45/45.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB25, bitIndex2)) | (~v121(constB25)))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4843,plain,
% 72.45/45.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB25, bitIndex2)) | (~v121(constB25))),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4842, 4841])).
% 72.45/45.31 tff(4844,plain,
% 72.45/45.31 (~v121(constB25)),
% 72.45/45.31 inference(unit_resolution,[status(thm)],[4843, 1842, 4840])).
% 72.45/45.31 tff(4845,plain,
% 72.45/45.31 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v120(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v120(constB25)))),
% 72.45/45.31 inference(rewrite,[status(thm)],[])).
% 72.45/45.31 tff(4846,plain,
% 72.45/45.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v120(constB25)))),
% 72.45/45.31 inference(quant_inst,[status(thm)],[])).
% 72.45/45.31 tff(4847,plain,
% 72.45/45.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v120(constB25))),
% 72.45/45.31 inference(modus_ponens,[status(thm)],[4846, 4845])).
% 72.45/45.31 tff(4848,plain,
% 72.45/45.31 (~v120(constB25)),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4847, 1919, 4801])).
% 72.45/45.32 tff(4849,plain,
% 72.45/45.32 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB25, bitIndex2)) | (~v122(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB25, bitIndex2)) | (~v122(constB25)))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4850,plain,
% 72.45/45.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB25, bitIndex2)) | (~v122(constB25)))),
% 72.45/45.32 inference(quant_inst,[status(thm)],[])).
% 72.45/45.32 tff(4851,plain,
% 72.45/45.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB25, bitIndex2)) | (~v122(constB25))),
% 72.45/45.32 inference(modus_ponens,[status(thm)],[4850, 4849])).
% 72.45/45.32 tff(4852,plain,
% 72.45/45.32 (~v122(constB25)),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4851, 1853, 4840])).
% 72.45/45.32 tff(4853,plain,
% 72.45/45.32 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v124(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v124(constB25)))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4854,plain,
% 72.45/45.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v124(constB25)))),
% 72.45/45.32 inference(quant_inst,[status(thm)],[])).
% 72.45/45.32 tff(4855,plain,
% 72.45/45.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v124(constB25))),
% 72.45/45.32 inference(modus_ponens,[status(thm)],[4854, 4853])).
% 72.45/45.32 tff(4856,plain,
% 72.45/45.32 (~v124(constB25)),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4855, 1941, 4801])).
% 72.45/45.32 tff(4857,plain,
% 72.45/45.32 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | (~v130(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | (~v130(constB25, bitIndex1)))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4858,plain,
% 72.45/45.32 ((v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1))) <=> (v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | (~v130(constB25, bitIndex1)))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4859,plain,
% 72.45/45.32 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | (~v130(constB25, bitIndex1))))),
% 72.45/45.32 inference(monotonicity,[status(thm)],[4858])).
% 72.45/45.32 tff(4860,plain,
% 72.45/45.32 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | (~v130(constB25, bitIndex1)))),
% 72.45/45.32 inference(transitivity,[status(thm)],[4859, 4857])).
% 72.45/45.32 tff(4861,plain,
% 72.45/45.32 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex1)))),
% 72.45/45.32 inference(quant_inst,[status(thm)],[])).
% 72.45/45.32 tff(4862,plain,
% 72.45/45.32 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | (~v130(constB25, bitIndex1))),
% 72.45/45.32 inference(modus_ponens,[status(thm)],[4861, 4860])).
% 72.45/45.32 tff(4863,plain,
% 72.45/45.32 (~v130(constB25, bitIndex1)),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4862, 2146, 4856, 4852, 4848, 4844, 4809, 4805])).
% 72.45/45.32 tff(4864,assumption,(v26(constB25)), introduced(assumption)).
% 72.45/45.32 tff(4865,plain,
% 72.45/45.32 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB25))),
% 72.45/45.32 inference(quant_inst,[status(thm)],[])).
% 72.45/45.32 tff(4866,plain,
% 72.45/45.32 ($false),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4865, 37, 4864])).
% 72.45/45.32 tff(4867,plain,(~v26(constB25)), inference(lemma,lemma(discharge,[]))).
% 72.45/45.32 tff(4868,plain,
% 72.45/45.32 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4869,plain,
% 72.45/45.32 ((v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1))) <=> ((~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4870,plain,
% 72.45/45.32 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1)))),
% 72.45/45.32 inference(monotonicity,[status(thm)],[4869])).
% 72.45/45.32 tff(4871,plain,
% 72.45/45.32 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))),
% 72.45/45.32 inference(transitivity,[status(thm)],[4870, 4868])).
% 72.45/45.32 tff(4872,plain,
% 72.45/45.32 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1)))),
% 72.45/45.32 inference(quant_inst,[status(thm)],[])).
% 72.45/45.32 tff(4873,plain,
% 72.45/45.32 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1)),
% 72.45/45.32 inference(modus_ponens,[status(thm)],[4872, 4871])).
% 72.45/45.32 tff(4874,plain,
% 72.45/45.32 ((~v127(constB25, bitIndex1)) | v130(constB25, bitIndex1)),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4873, 555, 4867])).
% 72.45/45.32 tff(4875,plain,
% 72.45/45.32 (~v127(constB25, bitIndex1)),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4874, 4863])).
% 72.45/45.32 tff(4876,plain,
% 72.45/45.32 (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4877,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_25_1')).
% 72.45/45.32 tff(4878,plain,
% 72.45/45.32 (nextState(constB25, constB26)),
% 72.45/45.32 inference(modus_ponens,[status(thm)],[4877, 4876])).
% 72.45/45.32 tff(4879,plain,
% 72.45/45.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1)))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4880,plain,
% 72.45/45.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1)))),
% 72.45/45.32 inference(quant_inst,[status(thm)],[])).
% 72.45/45.32 tff(4881,plain,
% 72.45/45.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1))),
% 72.45/45.32 inference(modus_ponens,[status(thm)],[4880, 4879])).
% 72.45/45.32 tff(4882,plain,
% 72.45/45.32 (v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1))),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4881, 588, 4878])).
% 72.45/45.32 tff(4883,plain,
% 72.45/45.32 (~v129(constB26, bitIndex1)),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4882, 4875])).
% 72.45/45.32 tff(4884,plain,
% 72.45/45.32 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB23)) | (~v130(constB23, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB23)) | (~v130(constB23, bitIndex0)))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4885,plain,
% 72.45/45.32 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB23)) | (~v130(constB23, bitIndex0)))),
% 72.45/45.32 inference(quant_inst,[status(thm)],[])).
% 72.45/45.32 tff(4886,plain,
% 72.45/45.32 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB23)) | (~v130(constB23, bitIndex0))),
% 72.45/45.32 inference(modus_ponens,[status(thm)],[4885, 4884])).
% 72.45/45.32 tff(4887,plain,
% 72.45/45.32 (~v130(constB23, bitIndex0)),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4886, 1992, 4683])).
% 72.45/45.32 tff(4888,plain,
% 72.45/45.32 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4889,plain,
% 72.45/45.32 ((v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0))) <=> ((~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4890,plain,
% 72.45/45.32 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0)))),
% 72.45/45.32 inference(monotonicity,[status(thm)],[4889])).
% 72.45/45.32 tff(4891,plain,
% 72.45/45.32 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))),
% 72.45/45.32 inference(transitivity,[status(thm)],[4890, 4888])).
% 72.45/45.32 tff(4892,plain,
% 72.45/45.32 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0)))),
% 72.45/45.32 inference(quant_inst,[status(thm)],[])).
% 72.45/45.32 tff(4893,plain,
% 72.45/45.32 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0)),
% 72.45/45.32 inference(modus_ponens,[status(thm)],[4892, 4891])).
% 72.45/45.32 tff(4894,plain,
% 72.45/45.32 ((~v127(constB23, bitIndex0)) | v130(constB23, bitIndex0)),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4893, 905, 4756])).
% 72.45/45.32 tff(4895,plain,
% 72.45/45.32 (~v127(constB23, bitIndex0)),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4894, 4887])).
% 72.45/45.32 tff(4896,plain,
% 72.45/45.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0)))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4897,plain,
% 72.45/45.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0)))),
% 72.45/45.32 inference(quant_inst,[status(thm)],[])).
% 72.45/45.32 tff(4898,plain,
% 72.45/45.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0))),
% 72.45/45.32 inference(modus_ponens,[status(thm)],[4897, 4896])).
% 72.45/45.32 tff(4899,plain,
% 72.45/45.32 (v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0))),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4898, 923, 4714])).
% 72.45/45.32 tff(4900,plain,
% 72.45/45.32 (~v129(constB24, bitIndex0)),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4899, 4895])).
% 72.45/45.32 tff(4901,plain,
% 72.45/45.32 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4902,plain,
% 72.45/45.32 (((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0)) <=> ((~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4903,plain,
% 72.45/45.32 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24))))),
% 72.45/45.32 inference(monotonicity,[status(thm)],[4902])).
% 72.45/45.32 tff(4904,plain,
% 72.45/45.32 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))),
% 72.45/45.32 inference(transitivity,[status(thm)],[4903, 4901])).
% 72.45/45.32 tff(4905,plain,
% 72.45/45.32 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0))),
% 72.45/45.32 inference(quant_inst,[status(thm)],[])).
% 72.45/45.32 tff(4906,plain,
% 72.45/45.32 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24))),
% 72.45/45.32 inference(modus_ponens,[status(thm)],[4905, 4904])).
% 72.45/45.32 tff(4907,plain,
% 72.45/45.32 ((~v90(constB24, bitIndex0)) | (~v100(constB24))),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4906, 938, 4900])).
% 72.45/45.32 tff(4908,plain,
% 72.45/45.32 (~v90(constB24, bitIndex0)),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4907, 4748])).
% 72.45/45.32 tff(4909,plain,
% 72.45/45.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4910,plain,
% 72.45/45.32 (((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0))) <=> (v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4911,plain,
% 72.45/45.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0))))),
% 72.45/45.32 inference(monotonicity,[status(thm)],[4910])).
% 72.45/45.32 tff(4912,plain,
% 72.45/45.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 72.45/45.32 inference(transitivity,[status(thm)],[4911, 4909])).
% 72.45/45.32 tff(4913,plain,
% 72.45/45.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 72.45/45.32 inference(quant_inst,[status(thm)],[])).
% 72.45/45.32 tff(4914,plain,
% 72.45/45.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0))),
% 72.45/45.32 inference(modus_ponens,[status(thm)],[4913, 4912])).
% 72.45/45.32 tff(4915,plain,
% 72.45/45.32 (v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0))),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4914, 130, 4780])).
% 72.45/45.32 tff(4916,plain,
% 72.45/45.32 (v90(constB24, bitIndex0) | (~v90(constB25, bitIndex0))),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4915, 4792])).
% 72.45/45.32 tff(4917,plain,
% 72.45/45.32 (~v90(constB25, bitIndex0)),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4916, 4908])).
% 72.45/45.32 tff(4918,assumption,(~v130(constB25, bitIndex0)), introduced(assumption)).
% 72.45/45.32 tff(4919,plain,
% 72.45/45.32 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB25)) | v130(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB25)) | v130(constB25, bitIndex0))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4920,plain,
% 72.45/45.32 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB25)) | v130(constB25, bitIndex0))),
% 72.45/45.32 inference(quant_inst,[status(thm)],[])).
% 72.45/45.32 tff(4921,plain,
% 72.45/45.32 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB25)) | v130(constB25, bitIndex0)),
% 72.45/45.32 inference(modus_ponens,[status(thm)],[4920, 4919])).
% 72.45/45.32 tff(4922,plain,
% 72.45/45.32 (~v123(constB25)),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4921, 1666, 4918])).
% 72.45/45.32 tff(4923,plain,
% 72.45/45.32 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB25)) | v130(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB25)) | v130(constB25, bitIndex0))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4924,plain,
% 72.45/45.32 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB25)) | v130(constB25, bitIndex0))),
% 72.45/45.32 inference(quant_inst,[status(thm)],[])).
% 72.45/45.32 tff(4925,plain,
% 72.45/45.32 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB25)) | v130(constB25, bitIndex0)),
% 72.45/45.32 inference(modus_ponens,[status(thm)],[4924, 4923])).
% 72.45/45.32 tff(4926,plain,
% 72.45/45.32 (~v121(constB25)),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4925, 1162, 4918])).
% 72.45/45.32 tff(4927,plain,
% 72.45/45.32 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB25)) | v130(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB25)) | v130(constB25, bitIndex0))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4928,plain,
% 72.45/45.32 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB25)) | v130(constB25, bitIndex0))),
% 72.45/45.32 inference(quant_inst,[status(thm)],[])).
% 72.45/45.32 tff(4929,plain,
% 72.45/45.32 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB25)) | v130(constB25, bitIndex0)),
% 72.45/45.32 inference(modus_ponens,[status(thm)],[4928, 4927])).
% 72.45/45.32 tff(4930,plain,
% 72.45/45.32 (~v119(constB25)),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4929, 165, 4918])).
% 72.45/45.32 tff(4931,assumption,(~v120(constB25)), introduced(assumption)).
% 72.45/45.32 tff(4932,assumption,(~v122(constB25)), introduced(assumption)).
% 72.45/45.32 tff(4933,assumption,(~v124(constB25)), introduced(assumption)).
% 72.45/45.32 tff(4934,plain,
% 72.45/45.32 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | v130(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | v130(constB25, bitIndex0))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4935,plain,
% 72.45/45.32 ((v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0)) <=> (v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | v130(constB25, bitIndex0))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4936,plain,
% 72.45/45.32 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | v130(constB25, bitIndex0)))),
% 72.45/45.32 inference(monotonicity,[status(thm)],[4935])).
% 72.45/45.32 tff(4937,plain,
% 72.45/45.32 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | v130(constB25, bitIndex0))),
% 72.45/45.32 inference(transitivity,[status(thm)],[4936, 4934])).
% 72.45/45.32 tff(4938,plain,
% 72.45/45.32 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, bitIndex0))),
% 72.45/45.32 inference(quant_inst,[status(thm)],[])).
% 72.45/45.32 tff(4939,plain,
% 72.45/45.32 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | v130(constB25, bitIndex0)),
% 72.45/45.32 inference(modus_ponens,[status(thm)],[4938, 4937])).
% 72.45/45.32 tff(4940,plain,
% 72.45/45.32 (v123(constB25) | v121(constB25) | v119(constB25) | v130(constB25, bitIndex0)),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4939, 2192, 4933, 4932, 4931])).
% 72.45/45.32 tff(4941,plain,
% 72.45/45.32 ($false),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4940, 4930, 4926, 4922, 4918])).
% 72.45/45.32 tff(4942,plain,(v130(constB25, bitIndex0) | v124(constB25) | v122(constB25) | v120(constB25)), inference(lemma,lemma(discharge,[]))).
% 72.45/45.32 tff(4943,plain,
% 72.45/45.32 (v130(constB25, bitIndex0)),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4942, 4852, 4848, 4856])).
% 72.45/45.32 tff(4944,plain,
% 72.45/45.32 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4945,plain,
% 72.45/45.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0))),
% 72.45/45.32 inference(quant_inst,[status(thm)],[])).
% 72.45/45.32 tff(4946,plain,
% 72.45/45.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0)),
% 72.45/45.32 inference(modus_ponens,[status(thm)],[4945, 4944])).
% 72.45/45.32 tff(4947,plain,
% 72.45/45.32 ((~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0)),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4946, 179, 4867])).
% 72.45/45.32 tff(4948,plain,
% 72.45/45.32 (v127(constB25, bitIndex0)),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4947, 4943])).
% 72.45/45.32 tff(4949,plain,
% 72.45/45.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4950,plain,
% 72.45/45.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0))),
% 72.45/45.32 inference(quant_inst,[status(thm)],[])).
% 72.45/45.32 tff(4951,plain,
% 72.45/45.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0)),
% 72.45/45.32 inference(modus_ponens,[status(thm)],[4950, 4949])).
% 72.45/45.32 tff(4952,plain,
% 72.45/45.32 ((~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0)),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4951, 197, 4878])).
% 72.45/45.32 tff(4953,plain,
% 72.45/45.32 (v129(constB26, bitIndex0)),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4952, 4948])).
% 72.45/45.32 tff(4954,assumption,(~v90(constB27, bitIndex0)), introduced(assumption)).
% 72.45/45.32 tff(4955,plain,
% 72.45/45.32 ((~v1(constB27)) <=> (~v1(constB27))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4956,axiom,(~v1(constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_27_1_1')).
% 72.45/45.32 tff(4957,plain,
% 72.45/45.32 (~v1(constB27)),
% 72.45/45.32 inference(modus_ponens,[status(thm)],[4956, 4955])).
% 72.45/45.32 tff(4958,plain,
% 72.45/45.32 (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4959,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_26_1')).
% 72.45/45.32 tff(4960,plain,
% 72.45/45.32 (nextState(constB26, constB27)),
% 72.45/45.32 inference(modus_ponens,[status(thm)],[4959, 4958])).
% 72.45/45.32 tff(4961,plain,
% 72.45/45.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4962,plain,
% 72.45/45.32 (((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27)) <=> (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4963,plain,
% 72.45/45.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27))))),
% 72.45/45.32 inference(monotonicity,[status(thm)],[4962])).
% 72.45/45.32 tff(4964,plain,
% 72.45/45.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 72.45/45.32 inference(transitivity,[status(thm)],[4963, 4961])).
% 72.45/45.32 tff(4965,plain,
% 72.45/45.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))),
% 72.45/45.32 inference(quant_inst,[status(thm)],[])).
% 72.45/45.32 tff(4966,plain,
% 72.45/45.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27))),
% 72.45/45.32 inference(modus_ponens,[status(thm)],[4965, 4964])).
% 72.45/45.32 tff(4967,plain,
% 72.45/45.32 (~v101(constB27)),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4966, 56, 4960, 4957])).
% 72.45/45.32 tff(4968,plain,
% 72.45/45.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4969,plain,
% 72.45/45.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))),
% 72.45/45.32 inference(quant_inst,[status(thm)],[])).
% 72.45/45.32 tff(4970,plain,
% 72.45/45.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27))),
% 72.45/45.32 inference(modus_ponens,[status(thm)],[4969, 4968])).
% 72.45/45.32 tff(4971,plain,
% 72.45/45.32 (v101(constB27) | (~v100(constB27))),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4970, 73, 4960])).
% 72.45/45.32 tff(4972,plain,
% 72.45/45.32 (~v100(constB27)),
% 72.45/45.32 inference(unit_resolution,[status(thm)],[4971, 4967])).
% 72.45/45.32 tff(4973,plain,
% 72.45/45.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4974,plain,
% 72.45/45.32 (((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0)) <=> ((~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))),
% 72.45/45.32 inference(rewrite,[status(thm)],[])).
% 72.45/45.32 tff(4975,plain,
% 72.45/45.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0)))),
% 72.45/45.32 inference(monotonicity,[status(thm)],[4974])).
% 72.45/45.32 tff(4976,plain,
% 72.45/45.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))),
% 72.45/45.32 inference(transitivity,[status(thm)],[4975, 4973])).
% 72.45/45.32 tff(4977,plain,
% 72.45/45.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0))),
% 72.45/45.32 inference(quant_inst,[status(thm)],[])).
% 72.45/45.32 tff(4978,plain,
% 72.45/45.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0)),
% 72.45/45.33 inference(modus_ponens,[status(thm)],[4977, 4976])).
% 72.45/45.33 tff(4979,plain,
% 72.45/45.33 ((~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[4978, 437, 4960])).
% 72.45/45.33 tff(4980,plain,
% 72.45/45.33 ((~v90(constB26, bitIndex0)) | v90(constB27, bitIndex0)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[4979, 4972])).
% 72.45/45.33 tff(4981,plain,
% 72.45/45.33 (~v90(constB26, bitIndex0)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[4980, 4954])).
% 72.45/45.33 tff(4982,assumption,(~v100(constB26)), introduced(assumption)).
% 72.45/45.33 tff(4983,plain,
% 72.45/45.33 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(4984,plain,
% 72.45/45.33 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))),
% 72.45/45.33 inference(quant_inst,[status(thm)],[])).
% 72.45/45.33 tff(4985,plain,
% 72.45/45.33 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26))),
% 72.45/45.33 inference(modus_ponens,[status(thm)],[4984, 4983])).
% 72.45/45.33 tff(4986,plain,
% 72.45/45.33 (~v104(constB26)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[4985, 335, 4878, 4777])).
% 72.45/45.33 tff(4987,plain,
% 72.45/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(4988,plain,
% 72.45/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))),
% 72.45/45.33 inference(quant_inst,[status(thm)],[])).
% 72.45/45.33 tff(4989,plain,
% 72.45/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v102(constB26) | v104(constB26)),
% 72.45/45.33 inference(modus_ponens,[status(thm)],[4988, 4987])).
% 72.45/45.33 tff(4990,plain,
% 72.45/45.33 (v102(constB26) | v104(constB26)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[4989, 349, 4878])).
% 72.45/45.33 tff(4991,plain,
% 72.45/45.33 (v102(constB26)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[4990, 4986])).
% 72.45/45.33 tff(4992,plain,
% 72.45/45.33 (v1(constB26) <=> v1(constB26)),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(4993,axiom,(v1(constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_26_1')).
% 72.45/45.33 tff(4994,plain,
% 72.45/45.33 (v1(constB26)),
% 72.45/45.33 inference(modus_ponens,[status(thm)],[4993, 4992])).
% 72.45/45.33 tff(4995,plain,
% 72.45/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(4996,plain,
% 72.45/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))),
% 72.45/45.33 inference(quant_inst,[status(thm)],[])).
% 72.45/45.33 tff(4997,plain,
% 72.45/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26))),
% 72.45/45.33 inference(modus_ponens,[status(thm)],[4996, 4995])).
% 72.45/45.33 tff(4998,plain,
% 72.45/45.33 (v101(constB26) | (~v102(constB26))),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[4997, 367, 4878, 4994])).
% 72.45/45.33 tff(4999,plain,
% 72.45/45.33 (v101(constB26)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[4998, 4991])).
% 72.45/45.33 tff(5000,plain,
% 72.45/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(5001,plain,
% 72.45/45.33 (((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26)) <=> ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(5002,plain,
% 72.45/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26))))),
% 72.45/45.33 inference(monotonicity,[status(thm)],[5001])).
% 72.45/45.33 tff(5003,plain,
% 72.45/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 72.45/45.33 inference(transitivity,[status(thm)],[5002, 5000])).
% 72.45/45.33 tff(5004,plain,
% 72.45/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))),
% 72.45/45.33 inference(quant_inst,[status(thm)],[])).
% 72.45/45.33 tff(5005,plain,
% 72.45/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26))),
% 72.45/45.33 inference(modus_ponens,[status(thm)],[5004, 5003])).
% 72.45/45.33 tff(5006,plain,
% 72.45/45.33 (v100(constB26) | (~v101(constB26)) | (~v110(constB26))),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5005, 382, 4878])).
% 72.45/45.33 tff(5007,plain,
% 72.45/45.33 (v100(constB26) | (~v110(constB26))),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5006, 4999])).
% 72.45/45.33 tff(5008,plain,
% 72.45/45.33 (~v110(constB26)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5007, 4982])).
% 72.45/45.33 tff(5009,plain,
% 72.45/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(5010,plain,
% 72.45/45.33 (((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26)) <=> ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(5011,plain,
% 72.45/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25))))),
% 72.45/45.33 inference(monotonicity,[status(thm)],[5010])).
% 72.45/45.33 tff(5012,plain,
% 72.45/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 72.45/45.33 inference(transitivity,[status(thm)],[5011, 5009])).
% 72.45/45.33 tff(5013,plain,
% 72.45/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))),
% 72.45/45.33 inference(quant_inst,[status(thm)],[])).
% 72.45/45.33 tff(5014,plain,
% 72.45/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25))),
% 72.45/45.33 inference(modus_ponens,[status(thm)],[5013, 5012])).
% 72.45/45.33 tff(5015,plain,
% 72.45/45.33 (v110(constB26) | (~v108(constB25))),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5014, 317, 4878])).
% 72.45/45.33 tff(5016,plain,
% 72.45/45.33 (~v108(constB25)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5015, 5008])).
% 72.45/45.33 tff(5017,plain,
% 72.45/45.33 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB25) | (~v112(constB25)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB25) | (~v112(constB25)))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(5018,plain,
% 72.45/45.33 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB25) | (~v112(constB25)))),
% 72.45/45.33 inference(quant_inst,[status(thm)],[])).
% 72.45/45.33 tff(5019,plain,
% 72.45/45.33 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB25) | (~v112(constB25))),
% 72.45/45.33 inference(modus_ponens,[status(thm)],[5018, 5017])).
% 72.45/45.33 tff(5020,plain,
% 72.45/45.33 (~v112(constB25)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5019, 210, 5016])).
% 72.45/45.33 tff(5021,plain,
% 72.45/45.33 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | (~v113(constB25)) | v112(constB25))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(5022,plain,
% 72.45/45.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))),
% 72.45/45.33 inference(quant_inst,[status(thm)],[])).
% 72.45/45.33 tff(5023,plain,
% 72.45/45.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | (~v113(constB25)) | v112(constB25)),
% 72.45/45.33 inference(modus_ponens,[status(thm)],[5022, 5021])).
% 72.45/45.33 tff(5024,plain,
% 72.45/45.33 ((~v113(constB25)) | v112(constB25)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5023, 301, 4867])).
% 72.45/45.33 tff(5025,plain,
% 72.45/45.33 (~v113(constB25)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5024, 5020])).
% 72.45/45.33 tff(5026,plain,
% 72.45/45.33 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB25) | (~v114(constB25)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB25) | (~v114(constB25)))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(5027,plain,
% 72.45/45.33 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB25) | (~v114(constB25)))),
% 72.45/45.33 inference(quant_inst,[status(thm)],[])).
% 72.45/45.33 tff(5028,plain,
% 72.45/45.33 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB25) | (~v114(constB25))),
% 72.45/45.33 inference(modus_ponens,[status(thm)],[5027, 5026])).
% 72.45/45.33 tff(5029,plain,
% 72.45/45.33 (~v114(constB25)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5028, 287, 5025])).
% 72.45/45.33 tff(5030,plain,
% 72.45/45.33 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB25) | (~v115(constB25)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB25) | (~v115(constB25)))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(5031,plain,
% 72.45/45.33 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB25) | (~v115(constB25)))),
% 72.45/45.33 inference(quant_inst,[status(thm)],[])).
% 72.45/45.33 tff(5032,plain,
% 72.45/45.33 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB25) | (~v115(constB25))),
% 72.45/45.33 inference(modus_ponens,[status(thm)],[5031, 5030])).
% 72.45/45.33 tff(5033,plain,
% 72.45/45.33 (~v115(constB25)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5032, 276, 5029])).
% 72.45/45.33 tff(5034,plain,
% 72.45/45.33 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB25) | (~v123(constB25)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB25) | (~v123(constB25)))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(5035,plain,
% 72.45/45.33 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB25) | (~v123(constB25)))),
% 72.45/45.33 inference(quant_inst,[status(thm)],[])).
% 72.45/45.33 tff(5036,plain,
% 72.45/45.33 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB25) | (~v123(constB25))),
% 72.45/45.33 inference(modus_ponens,[status(thm)],[5035, 5034])).
% 72.45/45.33 tff(5037,plain,
% 72.45/45.33 (~v123(constB25)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5036, 1488, 5033])).
% 72.45/45.33 tff(5038,assumption,(~v121(constB27)), introduced(assumption)).
% 72.45/45.33 tff(5039,assumption,(~v90(constB27, bitIndex2)), introduced(assumption)).
% 72.45/45.33 tff(5040,plain,
% 72.45/45.33 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v121(constB27))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v121(constB27))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(5041,plain,
% 72.45/45.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v121(constB27))),
% 72.45/45.33 inference(quant_inst,[status(thm)],[])).
% 72.45/45.33 tff(5042,plain,
% 72.45/45.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2) | v121(constB27)),
% 72.45/45.33 inference(modus_ponens,[status(thm)],[5041, 5040])).
% 72.45/45.33 tff(5043,plain,
% 72.45/45.33 (v90(constB27, bitIndex0) | (~v90(constB27, bitIndex1)) | v90(constB27, bitIndex2)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5042, 965, 5038])).
% 72.45/45.33 tff(5044,plain,
% 72.45/45.33 (~v90(constB27, bitIndex1)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5043, 5039, 4954])).
% 72.45/45.33 tff(5045,plain,
% 72.45/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB25, bitIndex0)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB25, bitIndex0)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, bitIndex0))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(5046,plain,
% 72.45/45.33 (((~nextState(constB25, constB26)) | (~v90(constB25, bitIndex0)) | v100(constB26) | v90(constB26, bitIndex0)) <=> ((~v90(constB25, bitIndex0)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, bitIndex0))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(5047,plain,
% 72.45/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v90(constB25, bitIndex0)) | v100(constB26) | v90(constB26, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB25, bitIndex0)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, bitIndex0)))),
% 72.45/45.33 inference(monotonicity,[status(thm)],[5046])).
% 72.45/45.33 tff(5048,plain,
% 72.45/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v90(constB25, bitIndex0)) | v100(constB26) | v90(constB26, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB25, bitIndex0)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, bitIndex0))),
% 72.45/45.33 inference(transitivity,[status(thm)],[5047, 5045])).
% 72.45/45.33 tff(5049,plain,
% 72.45/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v90(constB25, bitIndex0)) | v100(constB26) | v90(constB26, bitIndex0))),
% 72.45/45.33 inference(quant_inst,[status(thm)],[])).
% 72.45/45.33 tff(5050,plain,
% 72.45/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB25, bitIndex0)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, bitIndex0)),
% 72.45/45.33 inference(modus_ponens,[status(thm)],[5049, 5048])).
% 72.45/45.33 tff(5051,plain,
% 72.45/45.33 ((~v90(constB25, bitIndex0)) | v100(constB26) | v90(constB26, bitIndex0)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5050, 437, 4878])).
% 72.45/45.33 tff(5052,plain,
% 72.45/45.33 (~v90(constB25, bitIndex0)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5051, 4982, 4981])).
% 72.45/45.33 tff(5053,plain,
% 72.45/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB26, bitIndex2)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB26, bitIndex2)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex2))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(5054,plain,
% 72.45/45.33 (((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex2)) | v100(constB27) | v90(constB27, bitIndex2)) <=> ((~v90(constB26, bitIndex2)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex2))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(5055,plain,
% 72.45/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex2)) | v100(constB27) | v90(constB27, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB26, bitIndex2)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex2)))),
% 72.45/45.33 inference(monotonicity,[status(thm)],[5054])).
% 72.45/45.33 tff(5056,plain,
% 72.45/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex2)) | v100(constB27) | v90(constB27, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB26, bitIndex2)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex2))),
% 72.45/45.33 inference(transitivity,[status(thm)],[5055, 5053])).
% 72.45/45.33 tff(5057,plain,
% 72.45/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex2)) | v100(constB27) | v90(constB27, bitIndex2))),
% 72.45/45.33 inference(quant_inst,[status(thm)],[])).
% 72.45/45.33 tff(5058,plain,
% 72.45/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB26, bitIndex2)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex2)),
% 72.45/45.33 inference(modus_ponens,[status(thm)],[5057, 5056])).
% 72.45/45.33 tff(5059,plain,
% 72.45/45.33 ((~v90(constB26, bitIndex2)) | v100(constB27) | v90(constB27, bitIndex2)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5058, 1370, 4960])).
% 72.45/45.33 tff(5060,plain,
% 72.45/45.33 ((~v90(constB26, bitIndex2)) | v90(constB27, bitIndex2)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5059, 4972])).
% 72.45/45.33 tff(5061,plain,
% 72.45/45.33 (~v90(constB26, bitIndex2)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5060, 5039])).
% 72.45/45.33 tff(5062,plain,
% 72.45/45.33 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB25) | (~v26(constB25)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB25) | (~v26(constB25)))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(5063,plain,
% 72.45/45.33 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB25) | (~v26(constB25)))),
% 72.45/45.33 inference(quant_inst,[status(thm)],[])).
% 72.45/45.33 tff(5064,plain,
% 72.45/45.33 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB25) | (~v26(constB25))),
% 72.45/45.33 inference(modus_ponens,[status(thm)],[5063, 5062])).
% 72.45/45.33 tff(5065,plain,
% 72.45/45.33 (~v26(constB25)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5064, 221, 5016])).
% 72.45/45.33 tff(5066,plain,
% 72.45/45.33 (~v113(constB25)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5023, 301, 5065, 5020])).
% 72.45/45.33 tff(5067,plain,
% 72.45/45.33 (~v114(constB25)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5028, 287, 5066])).
% 72.45/45.33 tff(5068,assumption,(~v90(constB26, bitIndex2)), introduced(assumption)).
% 72.45/45.33 tff(5069,plain,
% 72.45/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB25, bitIndex2)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB25, bitIndex2)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, bitIndex2))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(5070,plain,
% 72.45/45.33 (((~nextState(constB25, constB26)) | (~v90(constB25, bitIndex2)) | v100(constB26) | v90(constB26, bitIndex2)) <=> ((~v90(constB25, bitIndex2)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, bitIndex2))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(5071,plain,
% 72.45/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB25, constB26)) | (~v90(constB25, bitIndex2)) | v100(constB26) | v90(constB26, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB25, bitIndex2)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, bitIndex2)))),
% 72.45/45.33 inference(monotonicity,[status(thm)],[5070])).
% 72.45/45.33 tff(5072,plain,
% 72.45/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB25, constB26)) | (~v90(constB25, bitIndex2)) | v100(constB26) | v90(constB26, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB25, bitIndex2)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, bitIndex2))),
% 72.45/45.33 inference(transitivity,[status(thm)],[5071, 5069])).
% 72.45/45.33 tff(5073,plain,
% 72.45/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB25, constB26)) | (~v90(constB25, bitIndex2)) | v100(constB26) | v90(constB26, bitIndex2))),
% 72.45/45.33 inference(quant_inst,[status(thm)],[])).
% 72.45/45.33 tff(5074,plain,
% 72.45/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB25, bitIndex2)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, bitIndex2)),
% 72.45/45.33 inference(modus_ponens,[status(thm)],[5073, 5072])).
% 72.45/45.33 tff(5075,plain,
% 72.45/45.33 ((~v90(constB25, bitIndex2)) | v100(constB26) | v90(constB26, bitIndex2)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5074, 1370, 4878])).
% 72.45/45.33 tff(5076,plain,
% 72.45/45.33 (~v90(constB25, bitIndex2)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5075, 4982, 5068])).
% 72.45/45.33 tff(5077,assumption,(~v90(constB26, bitIndex1)), introduced(assumption)).
% 72.45/45.33 tff(5078,plain,
% 72.45/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB25, bitIndex1)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB25, bitIndex1)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, bitIndex1))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(5079,plain,
% 72.45/45.33 (((~nextState(constB25, constB26)) | (~v90(constB25, bitIndex1)) | v100(constB26) | v90(constB26, bitIndex1)) <=> ((~v90(constB25, bitIndex1)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, bitIndex1))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(5080,plain,
% 72.45/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB25, constB26)) | (~v90(constB25, bitIndex1)) | v100(constB26) | v90(constB26, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB25, bitIndex1)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, bitIndex1)))),
% 72.45/45.33 inference(monotonicity,[status(thm)],[5079])).
% 72.45/45.33 tff(5081,plain,
% 72.45/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB25, constB26)) | (~v90(constB25, bitIndex1)) | v100(constB26) | v90(constB26, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB25, bitIndex1)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, bitIndex1))),
% 72.45/45.33 inference(transitivity,[status(thm)],[5080, 5078])).
% 72.45/45.33 tff(5082,plain,
% 72.45/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB25, constB26)) | (~v90(constB25, bitIndex1)) | v100(constB26) | v90(constB26, bitIndex1))),
% 72.45/45.33 inference(quant_inst,[status(thm)],[])).
% 72.45/45.33 tff(5083,plain,
% 72.45/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB25, bitIndex1)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, bitIndex1)),
% 72.45/45.33 inference(modus_ponens,[status(thm)],[5082, 5081])).
% 72.45/45.33 tff(5084,plain,
% 72.45/45.33 ((~v90(constB25, bitIndex1)) | v100(constB26) | v90(constB26, bitIndex1)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5083, 872, 4878])).
% 72.45/45.33 tff(5085,plain,
% 72.45/45.33 (~v90(constB25, bitIndex1)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5084, 4982, 5077])).
% 72.45/45.33 tff(5086,assumption,(~v90(constB25, bitIndex0)), introduced(assumption)).
% 72.45/45.33 tff(5087,plain,
% 72.45/45.33 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB25) | v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB25) | v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(5088,plain,
% 72.45/45.33 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB25) | v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2))),
% 72.45/45.33 inference(quant_inst,[status(thm)],[])).
% 72.45/45.33 tff(5089,plain,
% 72.45/45.33 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB25) | v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2)),
% 72.45/45.33 inference(modus_ponens,[status(thm)],[5088, 5087])).
% 72.45/45.33 tff(5090,plain,
% 72.45/45.33 (v119(constB25) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5089, 151, 5086])).
% 72.45/45.33 tff(5091,plain,
% 72.45/45.33 (v119(constB25)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5090, 5085, 5076])).
% 72.45/45.33 tff(5092,plain,
% 72.45/45.33 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB25) | (~v119(constB25)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB25) | (~v119(constB25)))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(5093,plain,
% 72.45/45.33 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB25) | (~v119(constB25)))),
% 72.45/45.33 inference(quant_inst,[status(thm)],[])).
% 72.45/45.33 tff(5094,plain,
% 72.45/45.33 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB25) | (~v119(constB25))),
% 72.45/45.33 inference(modus_ponens,[status(thm)],[5093, 5092])).
% 72.45/45.33 tff(5095,plain,
% 72.45/45.33 (v118(constB25)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5094, 232, 5091])).
% 72.45/45.33 tff(5096,plain,
% 72.45/45.33 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB25) | (~v118(constB25)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB25) | (~v118(constB25)))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(5097,plain,
% 72.45/45.33 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB25) | (~v118(constB25)))),
% 72.45/45.33 inference(quant_inst,[status(thm)],[])).
% 72.45/45.33 tff(5098,plain,
% 72.45/45.33 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB25) | (~v118(constB25))),
% 72.45/45.33 inference(modus_ponens,[status(thm)],[5097, 5096])).
% 72.45/45.33 tff(5099,plain,
% 72.45/45.33 (v117(constB25)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5098, 243, 5095])).
% 72.45/45.33 tff(5100,plain,
% 72.45/45.33 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB25) | (~v117(constB25)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB25) | (~v117(constB25)))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(5101,plain,
% 72.45/45.33 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB25) | (~v117(constB25)))),
% 72.45/45.33 inference(quant_inst,[status(thm)],[])).
% 72.45/45.33 tff(5102,plain,
% 72.45/45.33 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB25) | (~v117(constB25))),
% 72.45/45.33 inference(modus_ponens,[status(thm)],[5101, 5100])).
% 72.45/45.33 tff(5103,plain,
% 72.45/45.33 (v116(constB25)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5102, 254, 5099])).
% 72.45/45.33 tff(5104,plain,
% 72.45/45.33 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB25) | (~v116(constB25)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB25) | (~v116(constB25)))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(5105,plain,
% 72.45/45.33 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB25) | (~v116(constB25)))),
% 72.45/45.33 inference(quant_inst,[status(thm)],[])).
% 72.45/45.33 tff(5106,plain,
% 72.45/45.33 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB25) | (~v116(constB25))),
% 72.45/45.33 inference(modus_ponens,[status(thm)],[5105, 5104])).
% 72.45/45.33 tff(5107,plain,
% 72.45/45.33 (v115(constB25)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5106, 265, 5103])).
% 72.45/45.33 tff(5108,plain,
% 72.45/45.33 ($false),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5032, 276, 5107, 5067])).
% 72.45/45.33 tff(5109,plain,(v100(constB26) | v90(constB25, bitIndex0) | v90(constB26, bitIndex1) | v90(constB26, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 72.45/45.33 tff(5110,plain,
% 72.45/45.33 (v90(constB26, bitIndex1)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5109, 5061, 4982, 5052])).
% 72.45/45.33 tff(5111,plain,
% 72.45/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex1))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(5112,plain,
% 72.45/45.33 (((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex1)) | v100(constB27) | v90(constB27, bitIndex1)) <=> ((~v90(constB26, bitIndex1)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex1))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.33 tff(5113,plain,
% 72.45/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex1)) | v100(constB27) | v90(constB27, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex1)))),
% 72.45/45.33 inference(monotonicity,[status(thm)],[5112])).
% 72.45/45.33 tff(5114,plain,
% 72.45/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex1)) | v100(constB27) | v90(constB27, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex1))),
% 72.45/45.33 inference(transitivity,[status(thm)],[5113, 5111])).
% 72.45/45.33 tff(5115,plain,
% 72.45/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex1)) | v100(constB27) | v90(constB27, bitIndex1))),
% 72.45/45.33 inference(quant_inst,[status(thm)],[])).
% 72.45/45.33 tff(5116,plain,
% 72.45/45.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex1)),
% 72.45/45.33 inference(modus_ponens,[status(thm)],[5115, 5114])).
% 72.45/45.33 tff(5117,plain,
% 72.45/45.33 ((~v90(constB26, bitIndex1)) | v100(constB27) | v90(constB27, bitIndex1)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5116, 872, 4960])).
% 72.45/45.33 tff(5118,plain,
% 72.45/45.33 ((~v90(constB26, bitIndex1)) | v90(constB27, bitIndex1)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5117, 4972])).
% 72.45/45.33 tff(5119,plain,
% 72.45/45.33 ($false),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5118, 5110, 5044])).
% 72.45/45.33 tff(5120,plain,(v90(constB27, bitIndex2) | v100(constB26) | v90(constB27, bitIndex0) | v121(constB27)), inference(lemma,lemma(discharge,[]))).
% 72.45/45.33 tff(5121,plain,
% 72.45/45.33 (v90(constB27, bitIndex2)),
% 72.45/45.33 inference(unit_resolution,[status(thm)],[5120, 4982, 4954, 5038])).
% 72.45/45.33 tff(5122,plain,
% 72.45/45.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 72.45/45.33 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5123,plain,
% 72.45/45.34 (((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2))) <=> (v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5124,plain,
% 72.45/45.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2))))),
% 72.45/45.34 inference(monotonicity,[status(thm)],[5123])).
% 72.45/45.34 tff(5125,plain,
% 72.45/45.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 72.45/45.34 inference(transitivity,[status(thm)],[5124, 5122])).
% 72.45/45.34 tff(5126,plain,
% 72.45/45.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 72.45/45.34 inference(quant_inst,[status(thm)],[])).
% 72.45/45.34 tff(5127,plain,
% 72.45/45.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2))),
% 72.45/45.34 inference(modus_ponens,[status(thm)],[5126, 5125])).
% 72.45/45.34 tff(5128,plain,
% 72.45/45.34 (v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2))),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5127, 88, 4960])).
% 72.45/45.34 tff(5129,plain,
% 72.45/45.34 (v90(constB26, bitIndex2) | (~v90(constB27, bitIndex2))),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5128, 4972])).
% 72.45/45.34 tff(5130,plain,
% 72.45/45.34 (v90(constB26, bitIndex2)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5129, 5121])).
% 72.45/45.34 tff(5131,plain,
% 72.45/45.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB25, bitIndex2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB25, bitIndex2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex2)))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5132,plain,
% 72.45/45.34 (((~nextState(constB25, constB26)) | v90(constB25, bitIndex2) | v100(constB26) | (~v90(constB26, bitIndex2))) <=> (v90(constB25, bitIndex2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex2)))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5133,plain,
% 72.45/45.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v90(constB25, bitIndex2) | v100(constB26) | (~v90(constB26, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB25, bitIndex2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex2))))),
% 72.45/45.34 inference(monotonicity,[status(thm)],[5132])).
% 72.45/45.34 tff(5134,plain,
% 72.45/45.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v90(constB25, bitIndex2) | v100(constB26) | (~v90(constB26, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB25, bitIndex2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex2)))),
% 72.45/45.34 inference(transitivity,[status(thm)],[5133, 5131])).
% 72.45/45.34 tff(5135,plain,
% 72.45/45.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v90(constB25, bitIndex2) | v100(constB26) | (~v90(constB26, bitIndex2)))),
% 72.45/45.34 inference(quant_inst,[status(thm)],[])).
% 72.45/45.34 tff(5136,plain,
% 72.45/45.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB25, bitIndex2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex2))),
% 72.45/45.34 inference(modus_ponens,[status(thm)],[5135, 5134])).
% 72.45/45.34 tff(5137,plain,
% 72.45/45.34 (v90(constB25, bitIndex2) | v100(constB26) | (~v90(constB26, bitIndex2))),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5136, 88, 4878])).
% 72.45/45.34 tff(5138,plain,
% 72.45/45.34 (v90(constB25, bitIndex2)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5137, 5130, 4982])).
% 72.45/45.34 tff(5139,plain,
% 72.45/45.34 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB25) | (~v125(constB25)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB25) | (~v125(constB25)))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5140,plain,
% 72.45/45.34 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB25) | (~v125(constB25)))),
% 72.45/45.34 inference(quant_inst,[status(thm)],[])).
% 72.45/45.34 tff(5141,plain,
% 72.45/45.34 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB25) | (~v125(constB25))),
% 72.45/45.34 inference(modus_ponens,[status(thm)],[5140, 5139])).
% 72.45/45.34 tff(5142,plain,
% 72.45/45.34 (~v125(constB25)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5141, 2047, 5025])).
% 72.45/45.34 tff(5143,plain,
% 72.45/45.34 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5144,plain,
% 72.45/45.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25))),
% 72.45/45.34 inference(quant_inst,[status(thm)],[])).
% 72.45/45.34 tff(5145,plain,
% 72.45/45.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25)),
% 72.45/45.34 inference(modus_ponens,[status(thm)],[5144, 5143])).
% 72.45/45.34 tff(5146,plain,
% 72.45/45.34 ((~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5145, 2036, 5052])).
% 72.45/45.34 tff(5147,plain,
% 72.45/45.34 (~v90(constB25, bitIndex1)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5146, 5138, 5142])).
% 72.45/45.34 tff(5148,plain,
% 72.45/45.34 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | v123(constB25))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | v123(constB25))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5149,plain,
% 72.45/45.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | v123(constB25))),
% 72.45/45.34 inference(quant_inst,[status(thm)],[])).
% 72.45/45.34 tff(5150,plain,
% 72.45/45.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | v123(constB25)),
% 72.45/45.34 inference(modus_ponens,[status(thm)],[5149, 5148])).
% 72.45/45.34 tff(5151,plain,
% 72.45/45.34 (v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | v123(constB25)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5150, 1477, 5052])).
% 72.45/45.34 tff(5152,plain,
% 72.45/45.34 ($false),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5151, 5147, 5138, 5037])).
% 72.45/45.34 tff(5153,plain,(v100(constB26) | v90(constB27, bitIndex0) | v121(constB27)), inference(lemma,lemma(discharge,[]))).
% 72.45/45.34 tff(5154,plain,
% 72.45/45.34 (v121(constB27)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5153, 4982, 4954])).
% 72.45/45.34 tff(5155,plain,
% 72.45/45.34 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB27, bitIndex1) | (~v121(constB27)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB27, bitIndex1) | (~v121(constB27)))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5156,plain,
% 72.45/45.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB27, bitIndex1) | (~v121(constB27)))),
% 72.45/45.34 inference(quant_inst,[status(thm)],[])).
% 72.45/45.34 tff(5157,plain,
% 72.45/45.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB27, bitIndex1) | (~v121(constB27))),
% 72.45/45.34 inference(modus_ponens,[status(thm)],[5156, 5155])).
% 72.45/45.34 tff(5158,plain,
% 72.45/45.34 (v90(constB27, bitIndex1)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5157, 3190, 5154])).
% 72.45/45.34 tff(5159,plain,
% 72.45/45.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5160,plain,
% 72.45/45.34 (((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1))) <=> (v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5161,plain,
% 72.45/45.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1))))),
% 72.45/45.34 inference(monotonicity,[status(thm)],[5160])).
% 72.45/45.34 tff(5162,plain,
% 72.45/45.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 72.45/45.34 inference(transitivity,[status(thm)],[5161, 5159])).
% 72.45/45.34 tff(5163,plain,
% 72.45/45.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 72.45/45.34 inference(quant_inst,[status(thm)],[])).
% 72.45/45.34 tff(5164,plain,
% 72.45/45.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1))),
% 72.45/45.34 inference(modus_ponens,[status(thm)],[5163, 5162])).
% 72.45/45.34 tff(5165,plain,
% 72.45/45.34 (v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1))),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5164, 109, 4960])).
% 72.45/45.34 tff(5166,plain,
% 72.45/45.34 (v90(constB26, bitIndex1) | (~v90(constB27, bitIndex1))),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5165, 4972])).
% 72.45/45.34 tff(5167,plain,
% 72.45/45.34 (v90(constB26, bitIndex1)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5166, 5158])).
% 72.45/45.34 tff(5168,plain,
% 72.45/45.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB25, bitIndex1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB25, bitIndex1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex1)))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5169,plain,
% 72.45/45.34 (((~nextState(constB25, constB26)) | v90(constB25, bitIndex1) | v100(constB26) | (~v90(constB26, bitIndex1))) <=> (v90(constB25, bitIndex1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex1)))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5170,plain,
% 72.45/45.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v90(constB25, bitIndex1) | v100(constB26) | (~v90(constB26, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB25, bitIndex1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex1))))),
% 72.45/45.34 inference(monotonicity,[status(thm)],[5169])).
% 72.45/45.34 tff(5171,plain,
% 72.45/45.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v90(constB25, bitIndex1) | v100(constB26) | (~v90(constB26, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB25, bitIndex1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex1)))),
% 72.45/45.34 inference(transitivity,[status(thm)],[5170, 5168])).
% 72.45/45.34 tff(5172,plain,
% 72.45/45.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v90(constB25, bitIndex1) | v100(constB26) | (~v90(constB26, bitIndex1)))),
% 72.45/45.34 inference(quant_inst,[status(thm)],[])).
% 72.45/45.34 tff(5173,plain,
% 72.45/45.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB25, bitIndex1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex1))),
% 72.45/45.34 inference(modus_ponens,[status(thm)],[5172, 5171])).
% 72.45/45.34 tff(5174,plain,
% 72.45/45.34 (v90(constB25, bitIndex1) | v100(constB26) | (~v90(constB26, bitIndex1))),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5173, 109, 4878])).
% 72.45/45.34 tff(5175,plain,
% 72.45/45.34 (v90(constB25, bitIndex1)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5174, 5167, 4982])).
% 72.45/45.34 tff(5176,plain,
% 72.45/45.34 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB27, bitIndex2)) | (~v121(constB27)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB27, bitIndex2)) | (~v121(constB27)))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5177,plain,
% 72.45/45.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB27, bitIndex2)) | (~v121(constB27)))),
% 72.45/45.34 inference(quant_inst,[status(thm)],[])).
% 72.45/45.34 tff(5178,plain,
% 72.45/45.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB27, bitIndex2)) | (~v121(constB27))),
% 72.45/45.34 inference(modus_ponens,[status(thm)],[5177, 5176])).
% 72.45/45.34 tff(5179,plain,
% 72.45/45.34 (~v90(constB27, bitIndex2)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5178, 1842, 5154])).
% 72.45/45.34 tff(5180,plain,
% 72.45/45.34 (~v90(constB26, bitIndex2)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5060, 5179])).
% 72.45/45.34 tff(5181,plain,
% 72.45/45.34 (~v90(constB25, bitIndex2)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5075, 5180, 4982])).
% 72.45/45.34 tff(5182,plain,
% 72.45/45.34 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex2) | v121(constB25))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex2) | v121(constB25))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5183,plain,
% 72.45/45.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex2) | v121(constB25))),
% 72.45/45.34 inference(quant_inst,[status(thm)],[])).
% 72.45/45.34 tff(5184,plain,
% 72.45/45.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | v90(constB25, bitIndex2) | v121(constB25)),
% 72.45/45.34 inference(modus_ponens,[status(thm)],[5183, 5182])).
% 72.45/45.34 tff(5185,plain,
% 72.45/45.34 ((~v90(constB25, bitIndex1)) | v90(constB25, bitIndex2) | v121(constB25)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5184, 965, 5052])).
% 72.45/45.34 tff(5186,plain,
% 72.45/45.34 (v121(constB25)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5185, 5181, 5175])).
% 72.45/45.34 tff(5187,plain,
% 72.45/45.34 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB25) | (~v121(constB25)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB25) | (~v121(constB25)))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5188,plain,
% 72.45/45.34 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB25) | (~v121(constB25)))),
% 72.45/45.34 inference(quant_inst,[status(thm)],[])).
% 72.45/45.34 tff(5189,plain,
% 72.45/45.34 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB25) | (~v121(constB25))),
% 72.45/45.34 inference(modus_ponens,[status(thm)],[5188, 5187])).
% 72.45/45.34 tff(5190,plain,
% 72.45/45.34 (v117(constB25)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5189, 976, 5186])).
% 72.45/45.34 tff(5191,plain,
% 72.45/45.34 (v116(constB25)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5102, 254, 5190])).
% 72.45/45.34 tff(5192,plain,
% 72.45/45.34 ($false),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5106, 265, 5033, 5191])).
% 72.45/45.34 tff(5193,plain,(v100(constB26) | v90(constB27, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.45/45.34 tff(5194,plain,
% 72.45/45.34 (v100(constB26)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5193, 4954])).
% 72.45/45.34 tff(5195,assumption,(v129(constB26, bitIndex0)), introduced(assumption)).
% 72.45/45.34 tff(5196,plain,
% 72.45/45.34 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5197,plain,
% 72.45/45.34 ((v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0))) <=> (v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5198,plain,
% 72.45/45.34 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26))))),
% 72.45/45.34 inference(monotonicity,[status(thm)],[5197])).
% 72.45/45.34 tff(5199,plain,
% 72.45/45.34 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))),
% 72.45/45.34 inference(transitivity,[status(thm)],[5198, 5196])).
% 72.45/45.34 tff(5200,plain,
% 72.45/45.34 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0)))),
% 72.45/45.34 inference(quant_inst,[status(thm)],[])).
% 72.45/45.34 tff(5201,plain,
% 72.45/45.34 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26))),
% 72.45/45.34 inference(modus_ponens,[status(thm)],[5200, 5199])).
% 72.45/45.34 tff(5202,plain,
% 72.45/45.34 (v90(constB26, bitIndex0) | (~v100(constB26))),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5201, 401, 5195])).
% 72.45/45.34 tff(5203,plain,
% 72.45/45.34 ($false),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5202, 5194, 4981])).
% 72.45/45.34 tff(5204,plain,(v90(constB27, bitIndex0) | (~v129(constB26, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.45/45.34 tff(5205,plain,
% 72.45/45.34 (v90(constB27, bitIndex0)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5204, 4953])).
% 72.45/45.34 tff(5206,plain,
% 72.45/45.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex0)))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5207,plain,
% 72.45/45.34 (((~nextState(constB26, constB27)) | v90(constB26, bitIndex0) | v100(constB27) | (~v90(constB27, bitIndex0))) <=> (v90(constB26, bitIndex0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex0)))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5208,plain,
% 72.45/45.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex0) | v100(constB27) | (~v90(constB27, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex0))))),
% 72.45/45.34 inference(monotonicity,[status(thm)],[5207])).
% 72.45/45.34 tff(5209,plain,
% 72.45/45.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex0) | v100(constB27) | (~v90(constB27, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex0)))),
% 72.45/45.34 inference(transitivity,[status(thm)],[5208, 5206])).
% 72.45/45.34 tff(5210,plain,
% 72.45/45.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB26, constB27)) | v90(constB26, bitIndex0) | v100(constB27) | (~v90(constB27, bitIndex0)))),
% 72.45/45.34 inference(quant_inst,[status(thm)],[])).
% 72.45/45.34 tff(5211,plain,
% 72.45/45.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex0))),
% 72.45/45.34 inference(modus_ponens,[status(thm)],[5210, 5209])).
% 72.45/45.34 tff(5212,plain,
% 72.45/45.34 (v90(constB26, bitIndex0) | v100(constB27) | (~v90(constB27, bitIndex0))),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5211, 130, 4960])).
% 72.45/45.34 tff(5213,plain,
% 72.45/45.34 (v90(constB26, bitIndex0) | (~v90(constB27, bitIndex0))),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5212, 4972])).
% 72.45/45.34 tff(5214,plain,
% 72.45/45.34 (v90(constB26, bitIndex0)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5213, 5205])).
% 72.45/45.34 tff(5215,plain,
% 72.45/45.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB25, bitIndex0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB25, bitIndex0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex0)))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5216,plain,
% 72.45/45.34 (((~nextState(constB25, constB26)) | v90(constB25, bitIndex0) | v100(constB26) | (~v90(constB26, bitIndex0))) <=> (v90(constB25, bitIndex0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex0)))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5217,plain,
% 72.45/45.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB25, constB26)) | v90(constB25, bitIndex0) | v100(constB26) | (~v90(constB26, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB25, bitIndex0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex0))))),
% 72.45/45.34 inference(monotonicity,[status(thm)],[5216])).
% 72.45/45.34 tff(5218,plain,
% 72.45/45.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB25, constB26)) | v90(constB25, bitIndex0) | v100(constB26) | (~v90(constB26, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB25, bitIndex0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex0)))),
% 72.45/45.34 inference(transitivity,[status(thm)],[5217, 5215])).
% 72.45/45.34 tff(5219,plain,
% 72.45/45.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB25, constB26)) | v90(constB25, bitIndex0) | v100(constB26) | (~v90(constB26, bitIndex0)))),
% 72.45/45.34 inference(quant_inst,[status(thm)],[])).
% 72.45/45.34 tff(5220,plain,
% 72.45/45.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB25, bitIndex0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex0))),
% 72.45/45.34 inference(modus_ponens,[status(thm)],[5219, 5218])).
% 72.45/45.34 tff(5221,plain,
% 72.45/45.34 (v90(constB25, bitIndex0) | v100(constB26) | (~v90(constB26, bitIndex0))),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5220, 130, 4878])).
% 72.45/45.34 tff(5222,plain,
% 72.45/45.34 (v100(constB26)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5221, 5214, 4917])).
% 72.45/45.34 tff(5223,plain,
% 72.45/45.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5224,plain,
% 72.45/45.34 (((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1)) <=> ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5225,plain,
% 72.45/45.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26))))),
% 72.45/45.34 inference(monotonicity,[status(thm)],[5224])).
% 72.45/45.34 tff(5226,plain,
% 72.45/45.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))),
% 72.45/45.34 inference(transitivity,[status(thm)],[5225, 5223])).
% 72.45/45.34 tff(5227,plain,
% 72.45/45.34 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1))),
% 72.45/45.34 inference(quant_inst,[status(thm)],[])).
% 72.45/45.34 tff(5228,plain,
% 72.45/45.34 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26))),
% 72.45/45.34 inference(modus_ponens,[status(thm)],[5227, 5226])).
% 72.45/45.34 tff(5229,plain,
% 72.45/45.34 ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5228, 603, 5222])).
% 72.45/45.34 tff(5230,plain,
% 72.45/45.34 (~v90(constB26, bitIndex1)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5229, 4883])).
% 72.45/45.34 tff(5231,plain,
% 72.45/45.34 (~v90(constB27, bitIndex1)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5166, 5230])).
% 72.45/45.34 tff(5232,plain,
% 72.45/45.34 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | (~v130(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | (~v130(constB25, bitIndex2)))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5233,plain,
% 72.45/45.34 ((v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2))) <=> (v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | (~v130(constB25, bitIndex2)))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5234,plain,
% 72.45/45.34 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | (~v130(constB25, bitIndex2))))),
% 72.45/45.34 inference(monotonicity,[status(thm)],[5233])).
% 72.45/45.34 tff(5235,plain,
% 72.45/45.34 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | (~v130(constB25, bitIndex2)))),
% 72.45/45.34 inference(transitivity,[status(thm)],[5234, 5232])).
% 72.45/45.34 tff(5236,plain,
% 72.45/45.34 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB25) | v119(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, bitIndex2)))),
% 72.45/45.34 inference(quant_inst,[status(thm)],[])).
% 72.45/45.34 tff(5237,plain,
% 72.45/45.34 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | (~v130(constB25, bitIndex2))),
% 72.45/45.34 inference(modus_ponens,[status(thm)],[5236, 5235])).
% 72.45/45.34 tff(5238,plain,
% 72.45/45.34 (~v130(constB25, bitIndex2)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5237, 1955, 4856, 4852, 4848, 4844, 4809, 4805])).
% 72.45/45.34 tff(5239,plain,
% 72.45/45.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5240,plain,
% 72.45/45.34 ((v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2))) <=> ((~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5241,plain,
% 72.45/45.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2)))),
% 72.45/45.34 inference(monotonicity,[status(thm)],[5240])).
% 72.45/45.34 tff(5242,plain,
% 72.45/45.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))),
% 72.45/45.34 inference(transitivity,[status(thm)],[5241, 5239])).
% 72.45/45.34 tff(5243,plain,
% 72.45/45.34 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2)))),
% 72.45/45.34 inference(quant_inst,[status(thm)],[])).
% 72.45/45.34 tff(5244,plain,
% 72.45/45.34 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2)),
% 72.45/45.34 inference(modus_ponens,[status(thm)],[5243, 5242])).
% 72.45/45.34 tff(5245,plain,
% 72.45/45.34 ((~v127(constB25, bitIndex2)) | v130(constB25, bitIndex2)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5244, 470, 4867])).
% 72.45/45.34 tff(5246,plain,
% 72.45/45.34 (~v127(constB25, bitIndex2)),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5245, 5238])).
% 72.45/45.34 tff(5247,plain,
% 72.45/45.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2)))),
% 72.45/45.34 inference(rewrite,[status(thm)],[])).
% 72.45/45.34 tff(5248,plain,
% 72.45/45.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2)))),
% 72.45/45.34 inference(quant_inst,[status(thm)],[])).
% 72.45/45.34 tff(5249,plain,
% 72.45/45.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2))),
% 72.45/45.34 inference(modus_ponens,[status(thm)],[5248, 5247])).
% 72.45/45.34 tff(5250,plain,
% 72.45/45.34 (v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2))),
% 72.45/45.34 inference(unit_resolution,[status(thm)],[5249, 488, 4878])).
% 72.45/45.34 tff(5251,plain,
% 72.45/45.35 (~v129(constB26, bitIndex2)),
% 72.45/45.35 inference(unit_resolution,[status(thm)],[5250, 5246])).
% 72.45/45.35 tff(5252,plain,
% 72.45/45.35 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))),
% 72.45/45.35 inference(rewrite,[status(thm)],[])).
% 72.45/45.35 tff(5253,plain,
% 72.45/45.35 (((~v90(constB26, bitIndex2)) | (~v100(constB26)) | v129(constB26, bitIndex2)) <=> ((~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))),
% 72.45/45.35 inference(rewrite,[status(thm)],[])).
% 72.45/45.35 tff(5254,plain,
% 72.45/45.35 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB26, bitIndex2)) | (~v100(constB26)) | v129(constB26, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26))))),
% 72.45/45.35 inference(monotonicity,[status(thm)],[5253])).
% 72.45/45.35 tff(5255,plain,
% 72.45/45.35 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB26, bitIndex2)) | (~v100(constB26)) | v129(constB26, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))),
% 72.45/45.35 inference(transitivity,[status(thm)],[5254, 5252])).
% 72.45/45.35 tff(5256,plain,
% 72.45/45.35 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB26, bitIndex2)) | (~v100(constB26)) | v129(constB26, bitIndex2))),
% 72.45/45.35 inference(quant_inst,[status(thm)],[])).
% 72.45/45.35 tff(5257,plain,
% 72.45/45.35 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26))),
% 72.45/45.35 inference(modus_ponens,[status(thm)],[5256, 5255])).
% 72.45/45.35 tff(5258,plain,
% 72.45/45.35 ((~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2)),
% 72.45/45.35 inference(unit_resolution,[status(thm)],[5257, 503, 5222])).
% 72.45/45.35 tff(5259,plain,
% 72.45/45.35 (~v90(constB26, bitIndex2)),
% 72.45/45.35 inference(unit_resolution,[status(thm)],[5258, 5251])).
% 72.45/45.35 tff(5260,plain,
% 72.45/45.35 (~v90(constB27, bitIndex2)),
% 72.45/45.35 inference(unit_resolution,[status(thm)],[5129, 5259])).
% 72.45/45.35 tff(5261,plain,
% 72.45/45.35 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))),
% 72.45/45.35 inference(rewrite,[status(thm)],[])).
% 72.45/45.35 tff(5262,plain,
% 72.45/45.35 (((~v90(constB27, bitIndex0)) | v120(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2)) <=> ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))),
% 72.45/45.35 inference(rewrite,[status(thm)],[])).
% 72.45/45.35 tff(5263,plain,
% 72.45/45.35 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB27, bitIndex0)) | v120(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27)))),
% 72.45/45.35 inference(monotonicity,[status(thm)],[5262])).
% 72.45/45.35 tff(5264,plain,
% 72.45/45.35 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB27, bitIndex0)) | v120(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))),
% 72.45/45.35 inference(transitivity,[status(thm)],[5263, 5261])).
% 72.45/45.35 tff(5265,plain,
% 72.45/45.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB27, bitIndex0)) | v120(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))),
% 72.45/45.35 inference(quant_inst,[status(thm)],[])).
% 72.45/45.35 tff(5266,plain,
% 72.45/45.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27)),
% 72.45/45.35 inference(modus_ponens,[status(thm)],[5265, 5264])).
% 72.45/45.35 tff(5267,plain,
% 72.45/45.35 (v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27)),
% 72.45/45.35 inference(unit_resolution,[status(thm)],[5266, 631, 5205])).
% 72.45/45.35 tff(5268,plain,
% 72.45/45.35 (v120(constB27)),
% 72.45/45.35 inference(unit_resolution,[status(thm)],[5267, 5260, 5231])).
% 72.45/45.35 tff(5269,plain,
% 72.45/45.35 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB27) | (~v120(constB27)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB27) | (~v120(constB27)))),
% 72.45/45.35 inference(rewrite,[status(thm)],[])).
% 72.45/45.35 tff(5270,plain,
% 72.45/45.35 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB27) | (~v120(constB27)))),
% 72.45/45.35 inference(quant_inst,[status(thm)],[])).
% 72.45/45.35 tff(5271,plain,
% 72.45/45.35 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB27) | (~v120(constB27))),
% 72.45/45.35 inference(modus_ponens,[status(thm)],[5270, 5269])).
% 72.45/45.35 tff(5272,plain,
% 72.45/45.35 (v118(constB27)),
% 72.45/45.35 inference(unit_resolution,[status(thm)],[5271, 646, 5268])).
% 72.45/45.35 tff(5273,plain,
% 72.45/45.35 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB27) | (~v118(constB27)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB27) | (~v118(constB27)))),
% 72.45/45.35 inference(rewrite,[status(thm)],[])).
% 72.45/45.35 tff(5274,plain,
% 72.45/45.35 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB27) | (~v118(constB27)))),
% 72.45/45.35 inference(quant_inst,[status(thm)],[])).
% 72.45/45.35 tff(5275,plain,
% 72.45/45.35 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB27) | (~v118(constB27))),
% 72.45/45.35 inference(modus_ponens,[status(thm)],[5274, 5273])).
% 72.45/45.35 tff(5276,plain,
% 72.45/45.35 (v117(constB27)),
% 72.45/45.35 inference(unit_resolution,[status(thm)],[5275, 243, 5272])).
% 72.45/45.35 tff(5277,plain,
% 72.45/45.35 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB27) | (~v117(constB27)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB27) | (~v117(constB27)))),
% 72.45/45.35 inference(rewrite,[status(thm)],[])).
% 72.45/45.35 tff(5278,plain,
% 72.45/45.35 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB27) | (~v117(constB27)))),
% 72.45/45.35 inference(quant_inst,[status(thm)],[])).
% 72.45/45.35 tff(5279,plain,
% 72.45/45.35 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB27) | (~v117(constB27))),
% 72.45/45.35 inference(modus_ponens,[status(thm)],[5278, 5277])).
% 72.45/45.35 tff(5280,plain,
% 72.45/45.35 (v116(constB27)),
% 72.45/45.35 inference(unit_resolution,[status(thm)],[5279, 254, 5276])).
% 72.45/45.35 tff(5281,plain,
% 72.45/45.35 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB27) | (~v116(constB27)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB27) | (~v116(constB27)))),
% 72.45/45.35 inference(rewrite,[status(thm)],[])).
% 72.45/45.35 tff(5282,plain,
% 72.45/45.35 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB27) | (~v116(constB27)))),
% 72.45/45.35 inference(quant_inst,[status(thm)],[])).
% 72.45/45.35 tff(5283,plain,
% 72.45/45.35 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB27) | (~v116(constB27))),
% 72.45/45.35 inference(modus_ponens,[status(thm)],[5282, 5281])).
% 72.45/45.35 tff(5284,plain,
% 72.45/45.35 (v115(constB27)),
% 72.45/45.35 inference(unit_resolution,[status(thm)],[5283, 265, 5280])).
% 72.45/45.35 tff(5285,plain,
% 72.45/45.35 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB27) | (~v115(constB27)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB27) | (~v115(constB27)))),
% 72.45/45.35 inference(rewrite,[status(thm)],[])).
% 72.45/45.35 tff(5286,plain,
% 72.45/45.35 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB27) | (~v115(constB27)))),
% 72.45/45.35 inference(quant_inst,[status(thm)],[])).
% 72.45/45.35 tff(5287,plain,
% 72.45/45.35 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB27) | (~v115(constB27))),
% 72.45/45.35 inference(modus_ponens,[status(thm)],[5286, 5285])).
% 72.45/45.35 tff(5288,plain,
% 72.45/45.35 (v114(constB27)),
% 72.45/45.35 inference(unit_resolution,[status(thm)],[5287, 276, 5284])).
% 72.45/45.35 tff(5289,plain,
% 72.45/45.35 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB27) | (~v114(constB27)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB27) | (~v114(constB27)))),
% 72.45/45.35 inference(rewrite,[status(thm)],[])).
% 72.45/45.35 tff(5290,plain,
% 72.45/45.35 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB27) | (~v114(constB27)))),
% 72.45/45.35 inference(quant_inst,[status(thm)],[])).
% 72.45/45.35 tff(5291,plain,
% 72.45/45.35 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB27) | (~v114(constB27))),
% 72.45/45.35 inference(modus_ponens,[status(thm)],[5290, 5289])).
% 72.45/45.35 tff(5292,plain,
% 72.45/45.35 (v113(constB27)),
% 72.45/45.35 inference(unit_resolution,[status(thm)],[5291, 287, 5288])).
% 72.45/45.35 tff(5293,assumption,(v26(constB27)), introduced(assumption)).
% 72.45/45.35 tff(5294,plain,
% 72.45/45.35 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB27))),
% 72.45/45.35 inference(quant_inst,[status(thm)],[])).
% 72.45/45.35 tff(5295,plain,
% 72.45/45.35 ($false),
% 72.45/45.35 inference(unit_resolution,[status(thm)],[5294, 37, 5293])).
% 72.45/45.35 tff(5296,plain,(~v26(constB27)), inference(lemma,lemma(discharge,[]))).
% 72.45/45.35 tff(5297,plain,
% 72.45/45.35 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | (~v113(constB27)) | v112(constB27))),
% 72.45/45.35 inference(rewrite,[status(thm)],[])).
% 72.45/45.35 tff(5298,plain,
% 72.45/45.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))),
% 72.45/45.35 inference(quant_inst,[status(thm)],[])).
% 72.45/45.35 tff(5299,plain,
% 72.45/45.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | (~v113(constB27)) | v112(constB27)),
% 72.45/45.35 inference(modus_ponens,[status(thm)],[5298, 5297])).
% 72.45/45.35 tff(5300,plain,
% 72.45/45.35 ((~v113(constB27)) | v112(constB27)),
% 72.45/45.35 inference(unit_resolution,[status(thm)],[5299, 301, 5296])).
% 72.45/45.35 tff(5301,plain,
% 72.45/45.35 (v112(constB27)),
% 72.45/45.35 inference(unit_resolution,[status(thm)],[5300, 5292])).
% 72.45/45.35 tff(5302,plain,
% 72.45/45.35 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB27) | (~v112(constB27)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB27) | (~v112(constB27)))),
% 72.45/45.35 inference(rewrite,[status(thm)],[])).
% 72.45/45.35 tff(5303,plain,
% 72.45/45.35 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB27) | (~v112(constB27)))),
% 72.45/45.35 inference(quant_inst,[status(thm)],[])).
% 72.45/45.35 tff(5304,plain,
% 72.45/45.35 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB27) | (~v112(constB27))),
% 72.45/45.35 inference(modus_ponens,[status(thm)],[5303, 5302])).
% 72.45/45.35 tff(5305,plain,
% 72.45/45.35 (v108(constB27)),
% 72.45/45.35 inference(unit_resolution,[status(thm)],[5304, 210, 5301])).
% 72.45/45.35 tff(5306,plain,
% 72.45/45.35 (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 72.45/45.35 inference(rewrite,[status(thm)],[])).
% 72.45/45.35 tff(5307,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_27_1')).
% 72.45/45.35 tff(5308,plain,
% 72.45/45.35 (nextState(constB27, constB28)),
% 72.45/45.35 inference(modus_ponens,[status(thm)],[5307, 5306])).
% 72.45/45.35 tff(5309,plain,
% 72.45/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 72.45/45.35 inference(rewrite,[status(thm)],[])).
% 72.45/45.35 tff(5310,plain,
% 72.45/45.35 (((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28)) <=> ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 72.45/45.35 inference(rewrite,[status(thm)],[])).
% 72.45/45.35 tff(5311,plain,
% 72.45/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27))))),
% 72.45/45.35 inference(monotonicity,[status(thm)],[5310])).
% 72.45/45.35 tff(5312,plain,
% 72.45/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 72.45/45.35 inference(transitivity,[status(thm)],[5311, 5309])).
% 72.45/45.35 tff(5313,plain,
% 72.45/45.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))),
% 72.45/45.35 inference(quant_inst,[status(thm)],[])).
% 72.45/45.35 tff(5314,plain,
% 72.45/45.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27))),
% 72.45/45.35 inference(modus_ponens,[status(thm)],[5313, 5312])).
% 72.45/45.35 tff(5315,plain,
% 72.45/45.35 (v110(constB28) | (~v108(constB27))),
% 72.45/45.35 inference(unit_resolution,[status(thm)],[5314, 317, 5308])).
% 72.45/45.35 tff(5316,plain,
% 72.45/45.35 (v110(constB28)),
% 72.45/45.35 inference(unit_resolution,[status(thm)],[5315, 5305])).
% 72.45/45.35 tff(5317,plain,
% 72.45/45.35 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))),
% 72.45/45.35 inference(rewrite,[status(thm)],[])).
% 72.45/45.35 tff(5318,plain,
% 72.45/45.35 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))),
% 72.45/45.35 inference(quant_inst,[status(thm)],[])).
% 72.45/45.35 tff(5319,plain,
% 72.45/45.35 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28))),
% 72.45/45.35 inference(modus_ponens,[status(thm)],[5318, 5317])).
% 72.45/45.35 tff(5320,plain,
% 72.45/45.35 (~v104(constB28)),
% 72.45/45.35 inference(unit_resolution,[status(thm)],[5319, 335, 5308, 4957])).
% 72.45/45.35 tff(5321,plain,
% 72.45/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))),
% 72.45/45.35 inference(rewrite,[status(thm)],[])).
% 72.45/45.35 tff(5322,plain,
% 72.45/45.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))),
% 72.45/45.35 inference(quant_inst,[status(thm)],[])).
% 72.45/45.35 tff(5323,plain,
% 72.45/45.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v102(constB28) | v104(constB28)),
% 72.45/45.35 inference(modus_ponens,[status(thm)],[5322, 5321])).
% 72.45/45.35 tff(5324,plain,
% 72.45/45.35 (v102(constB28) | v104(constB28)),
% 72.45/45.35 inference(unit_resolution,[status(thm)],[5323, 349, 5308])).
% 72.45/45.35 tff(5325,plain,
% 72.45/45.35 (v102(constB28)),
% 72.45/45.35 inference(unit_resolution,[status(thm)],[5324, 5320])).
% 72.45/45.35 tff(5326,plain,
% 72.45/45.35 (v1(constB28) <=> v1(constB28)),
% 72.45/45.35 inference(rewrite,[status(thm)],[])).
% 72.45/45.35 tff(5327,axiom,(v1(constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_28_1')).
% 72.45/45.35 tff(5328,plain,
% 72.45/45.35 (v1(constB28)),
% 72.45/45.35 inference(modus_ponens,[status(thm)],[5327, 5326])).
% 72.45/45.35 tff(5329,plain,
% 72.45/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))),
% 72.52/45.35 inference(rewrite,[status(thm)],[])).
% 72.52/45.35 tff(5330,plain,
% 72.52/45.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))),
% 72.52/45.35 inference(quant_inst,[status(thm)],[])).
% 72.52/45.35 tff(5331,plain,
% 72.52/45.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28))),
% 72.52/45.35 inference(modus_ponens,[status(thm)],[5330, 5329])).
% 72.52/45.35 tff(5332,plain,
% 72.52/45.35 (v101(constB28) | (~v102(constB28))),
% 72.52/45.35 inference(unit_resolution,[status(thm)],[5331, 367, 5308, 5328])).
% 72.52/45.35 tff(5333,plain,
% 72.52/45.35 (v101(constB28)),
% 72.52/45.35 inference(unit_resolution,[status(thm)],[5332, 5325])).
% 72.52/45.35 tff(5334,plain,
% 72.52/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 72.52/45.35 inference(rewrite,[status(thm)],[])).
% 72.52/45.35 tff(5335,plain,
% 72.52/45.35 (((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28)) <=> ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 72.52/45.35 inference(rewrite,[status(thm)],[])).
% 72.52/45.35 tff(5336,plain,
% 72.52/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28))))),
% 72.52/45.35 inference(monotonicity,[status(thm)],[5335])).
% 72.52/45.35 tff(5337,plain,
% 72.52/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 72.52/45.35 inference(transitivity,[status(thm)],[5336, 5334])).
% 72.52/45.35 tff(5338,plain,
% 72.52/45.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))),
% 72.52/45.35 inference(quant_inst,[status(thm)],[])).
% 72.52/45.35 tff(5339,plain,
% 72.52/45.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28))),
% 72.52/45.35 inference(modus_ponens,[status(thm)],[5338, 5337])).
% 72.52/45.35 tff(5340,plain,
% 72.52/45.35 (v100(constB28) | (~v101(constB28)) | (~v110(constB28))),
% 72.52/45.35 inference(unit_resolution,[status(thm)],[5339, 382, 5308])).
% 72.52/45.35 tff(5341,plain,
% 72.52/45.35 (v100(constB28) | (~v110(constB28))),
% 72.52/45.35 inference(unit_resolution,[status(thm)],[5340, 5333])).
% 72.52/45.35 tff(5342,plain,
% 72.52/45.35 (v100(constB28)),
% 72.52/45.35 inference(unit_resolution,[status(thm)],[5341, 5316])).
% 72.52/45.35 tff(5343,plain,
% 72.52/45.35 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB27)) | (~v130(constB27, bitIndex2)))),
% 72.52/45.35 inference(rewrite,[status(thm)],[])).
% 72.52/45.35 tff(5344,plain,
% 72.52/45.35 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex2)))),
% 72.52/45.35 inference(quant_inst,[status(thm)],[])).
% 72.52/45.35 tff(5345,plain,
% 72.52/45.35 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB27)) | (~v130(constB27, bitIndex2))),
% 72.52/45.35 inference(modus_ponens,[status(thm)],[5344, 5343])).
% 72.52/45.35 tff(5346,plain,
% 72.52/45.35 (~v130(constB27, bitIndex2)),
% 72.52/45.35 inference(unit_resolution,[status(thm)],[5345, 730, 5268])).
% 72.52/45.35 tff(5347,plain,
% 72.52/45.35 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))),
% 72.52/45.35 inference(rewrite,[status(thm)],[])).
% 72.52/45.35 tff(5348,plain,
% 72.52/45.35 ((v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2))) <=> ((~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))),
% 72.52/45.35 inference(rewrite,[status(thm)],[])).
% 72.52/45.35 tff(5349,plain,
% 72.52/45.35 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2)))),
% 72.52/45.35 inference(monotonicity,[status(thm)],[5348])).
% 72.52/45.35 tff(5350,plain,
% 72.52/45.35 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))),
% 72.52/45.35 inference(transitivity,[status(thm)],[5349, 5347])).
% 72.52/45.35 tff(5351,plain,
% 72.52/45.35 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2)))),
% 72.52/45.35 inference(quant_inst,[status(thm)],[])).
% 72.52/45.35 tff(5352,plain,
% 72.52/45.35 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2)),
% 72.52/45.35 inference(modus_ponens,[status(thm)],[5351, 5350])).
% 72.52/45.35 tff(5353,plain,
% 72.52/45.35 ((~v127(constB27, bitIndex2)) | v130(constB27, bitIndex2)),
% 72.52/45.35 inference(unit_resolution,[status(thm)],[5352, 470, 5296])).
% 72.52/45.35 tff(5354,plain,
% 72.52/45.35 (~v127(constB27, bitIndex2)),
% 72.52/45.35 inference(unit_resolution,[status(thm)],[5353, 5346])).
% 72.52/45.35 tff(5355,plain,
% 72.52/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2)))),
% 72.52/45.35 inference(rewrite,[status(thm)],[])).
% 72.52/45.35 tff(5356,plain,
% 72.52/45.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2)))),
% 72.52/45.35 inference(quant_inst,[status(thm)],[])).
% 72.52/45.35 tff(5357,plain,
% 72.52/45.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2))),
% 72.52/45.35 inference(modus_ponens,[status(thm)],[5356, 5355])).
% 72.52/45.35 tff(5358,plain,
% 72.52/45.35 (v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2))),
% 72.52/45.35 inference(unit_resolution,[status(thm)],[5357, 488, 5308])).
% 72.52/45.35 tff(5359,plain,
% 72.52/45.35 (~v129(constB28, bitIndex2)),
% 72.52/45.35 inference(unit_resolution,[status(thm)],[5358, 5354])).
% 72.52/45.35 tff(5360,plain,
% 72.52/45.35 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))),
% 72.52/45.35 inference(rewrite,[status(thm)],[])).
% 72.52/45.35 tff(5361,plain,
% 72.52/45.35 (((~v90(constB28, bitIndex2)) | (~v100(constB28)) | v129(constB28, bitIndex2)) <=> ((~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))),
% 72.52/45.35 inference(rewrite,[status(thm)],[])).
% 72.52/45.35 tff(5362,plain,
% 72.52/45.35 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB28, bitIndex2)) | (~v100(constB28)) | v129(constB28, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28))))),
% 72.52/45.35 inference(monotonicity,[status(thm)],[5361])).
% 72.52/45.35 tff(5363,plain,
% 72.52/45.35 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB28, bitIndex2)) | (~v100(constB28)) | v129(constB28, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))),
% 72.52/45.35 inference(transitivity,[status(thm)],[5362, 5360])).
% 72.52/45.35 tff(5364,plain,
% 72.52/45.35 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB28, bitIndex2)) | (~v100(constB28)) | v129(constB28, bitIndex2))),
% 72.52/45.35 inference(quant_inst,[status(thm)],[])).
% 72.52/45.35 tff(5365,plain,
% 72.52/45.35 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28))),
% 72.52/45.35 inference(modus_ponens,[status(thm)],[5364, 5363])).
% 72.52/45.35 tff(5366,plain,
% 72.52/45.35 ((~v90(constB28, bitIndex2)) | (~v100(constB28))),
% 72.52/45.35 inference(unit_resolution,[status(thm)],[5365, 503, 5359])).
% 72.52/45.35 tff(5367,plain,
% 72.52/45.35 (~v90(constB28, bitIndex2)),
% 72.52/45.35 inference(unit_resolution,[status(thm)],[5366, 5342])).
% 72.52/45.35 tff(5368,plain,
% 72.52/45.35 ((~v1(constB29)) <=> (~v1(constB29))),
% 72.52/45.35 inference(rewrite,[status(thm)],[])).
% 72.52/45.35 tff(5369,axiom,(~v1(constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_29_1_1')).
% 72.52/45.35 tff(5370,plain,
% 72.52/45.35 (~v1(constB29)),
% 72.52/45.35 inference(modus_ponens,[status(thm)],[5369, 5368])).
% 72.52/45.35 tff(5371,plain,
% 72.52/45.35 (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 72.52/45.35 inference(rewrite,[status(thm)],[])).
% 72.52/45.35 tff(5372,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_28_1')).
% 72.52/45.35 tff(5373,plain,
% 72.52/45.35 (nextState(constB28, constB29)),
% 72.52/45.35 inference(modus_ponens,[status(thm)],[5372, 5371])).
% 72.52/45.35 tff(5374,plain,
% 72.52/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 72.52/45.35 inference(rewrite,[status(thm)],[])).
% 72.52/45.35 tff(5375,plain,
% 72.52/45.35 (((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29)) <=> (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 72.52/45.35 inference(rewrite,[status(thm)],[])).
% 72.52/45.35 tff(5376,plain,
% 72.52/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29))))),
% 72.52/45.35 inference(monotonicity,[status(thm)],[5375])).
% 72.52/45.35 tff(5377,plain,
% 72.52/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 72.52/45.35 inference(transitivity,[status(thm)],[5376, 5374])).
% 72.52/45.35 tff(5378,plain,
% 72.52/45.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))),
% 72.52/45.35 inference(quant_inst,[status(thm)],[])).
% 72.52/45.35 tff(5379,plain,
% 72.52/45.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29))),
% 72.52/45.35 inference(modus_ponens,[status(thm)],[5378, 5377])).
% 72.52/45.35 tff(5380,plain,
% 72.52/45.35 (~v101(constB29)),
% 72.52/45.35 inference(unit_resolution,[status(thm)],[5379, 56, 5373, 5370])).
% 72.52/45.35 tff(5381,plain,
% 72.52/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))),
% 72.52/45.35 inference(rewrite,[status(thm)],[])).
% 72.52/45.35 tff(5382,plain,
% 72.52/45.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))),
% 72.52/45.35 inference(quant_inst,[status(thm)],[])).
% 72.52/45.35 tff(5383,plain,
% 72.52/45.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29))),
% 72.52/45.35 inference(modus_ponens,[status(thm)],[5382, 5381])).
% 72.52/45.35 tff(5384,plain,
% 72.52/45.35 (v101(constB29) | (~v100(constB29))),
% 72.52/45.35 inference(unit_resolution,[status(thm)],[5383, 73, 5373])).
% 72.52/45.35 tff(5385,plain,
% 72.52/45.35 (~v100(constB29)),
% 72.52/45.35 inference(unit_resolution,[status(thm)],[5384, 5380])).
% 72.52/45.35 tff(5386,plain,
% 72.52/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 72.52/45.35 inference(rewrite,[status(thm)],[])).
% 72.52/45.35 tff(5387,plain,
% 72.52/45.35 (((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2))) <=> (v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 72.52/45.35 inference(rewrite,[status(thm)],[])).
% 72.52/45.35 tff(5388,plain,
% 72.52/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2))))),
% 72.52/45.35 inference(monotonicity,[status(thm)],[5387])).
% 72.52/45.35 tff(5389,plain,
% 72.52/45.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 72.52/45.35 inference(transitivity,[status(thm)],[5388, 5386])).
% 72.52/45.35 tff(5390,plain,
% 72.52/45.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 72.52/45.35 inference(quant_inst,[status(thm)],[])).
% 72.52/45.35 tff(5391,plain,
% 72.52/45.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2))),
% 72.52/45.35 inference(modus_ponens,[status(thm)],[5390, 5389])).
% 72.52/45.35 tff(5392,plain,
% 72.52/45.35 (v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2))),
% 72.52/45.35 inference(unit_resolution,[status(thm)],[5391, 88, 5373])).
% 72.52/45.35 tff(5393,plain,
% 72.52/45.35 (v90(constB28, bitIndex2) | (~v90(constB29, bitIndex2))),
% 72.52/45.35 inference(unit_resolution,[status(thm)],[5392, 5385])).
% 72.52/45.35 tff(5394,plain,
% 72.52/45.35 (~v90(constB29, bitIndex2)),
% 72.52/45.35 inference(unit_resolution,[status(thm)],[5393, 5367])).
% 72.52/45.35 tff(5395,assumption,(~v116(constB29)), introduced(assumption)).
% 72.52/45.35 tff(5396,plain,
% 72.52/45.35 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB29) | (~v117(constB29)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB29) | (~v117(constB29)))),
% 72.52/45.35 inference(rewrite,[status(thm)],[])).
% 72.52/45.35 tff(5397,plain,
% 72.52/45.35 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB29) | (~v117(constB29)))),
% 72.52/45.35 inference(quant_inst,[status(thm)],[])).
% 72.52/45.35 tff(5398,plain,
% 72.52/45.35 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB29) | (~v117(constB29))),
% 72.52/45.35 inference(modus_ponens,[status(thm)],[5397, 5396])).
% 72.52/45.35 tff(5399,plain,
% 72.52/45.35 (~v117(constB29)),
% 72.52/45.35 inference(unit_resolution,[status(thm)],[5398, 254, 5395])).
% 72.52/45.35 tff(5400,plain,
% 72.52/45.35 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB29) | (~v118(constB29)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB29) | (~v118(constB29)))),
% 72.52/45.35 inference(rewrite,[status(thm)],[])).
% 72.52/45.35 tff(5401,plain,
% 72.52/45.35 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB29) | (~v118(constB29)))),
% 72.52/45.35 inference(quant_inst,[status(thm)],[])).
% 72.52/45.35 tff(5402,plain,
% 72.52/45.35 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB29) | (~v118(constB29))),
% 72.52/45.35 inference(modus_ponens,[status(thm)],[5401, 5400])).
% 72.52/45.35 tff(5403,plain,
% 72.52/45.35 (~v118(constB29)),
% 72.52/45.35 inference(unit_resolution,[status(thm)],[5402, 243, 5399])).
% 72.52/45.35 tff(5404,plain,
% 72.52/45.35 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB29) | (~v120(constB29)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB29) | (~v120(constB29)))),
% 72.52/45.35 inference(rewrite,[status(thm)],[])).
% 72.52/45.35 tff(5405,plain,
% 72.52/45.35 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB29) | (~v120(constB29)))),
% 72.52/45.35 inference(quant_inst,[status(thm)],[])).
% 72.52/45.35 tff(5406,plain,
% 72.52/45.35 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB29) | (~v120(constB29))),
% 72.52/45.35 inference(modus_ponens,[status(thm)],[5405, 5404])).
% 72.52/45.35 tff(5407,plain,
% 72.52/45.35 (~v120(constB29)),
% 72.52/45.35 inference(unit_resolution,[status(thm)],[5406, 646, 5403])).
% 72.52/45.35 tff(5408,plain,
% 72.52/45.35 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB29) | (~v121(constB29)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB29) | (~v121(constB29)))),
% 72.52/45.35 inference(rewrite,[status(thm)],[])).
% 72.52/45.35 tff(5409,plain,
% 72.52/45.35 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB29) | (~v121(constB29)))),
% 72.52/45.35 inference(quant_inst,[status(thm)],[])).
% 72.52/45.35 tff(5410,plain,
% 72.52/45.35 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB29) | (~v121(constB29))),
% 72.52/45.35 inference(modus_ponens,[status(thm)],[5409, 5408])).
% 72.52/45.35 tff(5411,plain,
% 72.52/45.35 (~v121(constB29)),
% 72.52/45.35 inference(unit_resolution,[status(thm)],[5410, 976, 5399])).
% 72.52/45.35 tff(5412,assumption,(~v90(constB29, bitIndex2)), introduced(assumption)).
% 72.52/45.35 tff(5413,plain,
% 72.52/45.35 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB29) | (~v119(constB29)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB29) | (~v119(constB29)))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5414,plain,
% 72.52/45.36 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB29) | (~v119(constB29)))),
% 72.52/45.36 inference(quant_inst,[status(thm)],[])).
% 72.52/45.36 tff(5415,plain,
% 72.52/45.36 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB29) | (~v119(constB29))),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5414, 5413])).
% 72.52/45.36 tff(5416,plain,
% 72.52/45.36 (~v119(constB29)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5415, 232, 5403])).
% 72.52/45.36 tff(5417,assumption,(~v119(constB29)), introduced(assumption)).
% 72.52/45.36 tff(5418,assumption,(~v90(constB29, bitIndex0)), introduced(assumption)).
% 72.52/45.36 tff(5419,assumption,(~v121(constB29)), introduced(assumption)).
% 72.52/45.36 tff(5420,plain,
% 72.52/45.36 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5421,plain,
% 72.52/45.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29))),
% 72.52/45.36 inference(quant_inst,[status(thm)],[])).
% 72.52/45.36 tff(5422,plain,
% 72.52/45.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29)),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5421, 5420])).
% 72.52/45.36 tff(5423,plain,
% 72.52/45.36 (v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v121(constB29)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5422, 965, 5412])).
% 72.52/45.36 tff(5424,plain,
% 72.52/45.36 (~v90(constB29, bitIndex1)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5423, 5418, 5419])).
% 72.52/45.36 tff(5425,plain,
% 72.52/45.36 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB29) | v90(constB29, bitIndex0) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB29) | v90(constB29, bitIndex0) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5426,plain,
% 72.52/45.36 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB29) | v90(constB29, bitIndex0) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2))),
% 72.52/45.36 inference(quant_inst,[status(thm)],[])).
% 72.52/45.36 tff(5427,plain,
% 72.52/45.36 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB29) | v90(constB29, bitIndex0) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2)),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5426, 5425])).
% 72.52/45.36 tff(5428,plain,
% 72.52/45.36 (v119(constB29) | v90(constB29, bitIndex0) | v90(constB29, bitIndex1)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5427, 151, 5412])).
% 72.52/45.36 tff(5429,plain,
% 72.52/45.36 ($false),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5428, 5424, 5418, 5417])).
% 72.52/45.36 tff(5430,plain,(v90(constB29, bitIndex0) | v119(constB29) | v90(constB29, bitIndex2) | v121(constB29)), inference(lemma,lemma(discharge,[]))).
% 72.52/45.36 tff(5431,plain,
% 72.52/45.36 (v90(constB29, bitIndex0)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5430, 5416, 5412, 5411])).
% 72.52/45.36 tff(5432,plain,
% 72.52/45.36 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB29) | (~v122(constB29)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB29) | (~v122(constB29)))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5433,plain,
% 72.52/45.36 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB29) | (~v122(constB29)))),
% 72.52/45.36 inference(quant_inst,[status(thm)],[])).
% 72.52/45.36 tff(5434,plain,
% 72.52/45.36 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB29) | (~v122(constB29))),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5433, 5432])).
% 72.52/45.36 tff(5435,plain,
% 72.52/45.36 (~v122(constB29)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5434, 1214, 5395])).
% 72.52/45.36 tff(5436,plain,
% 72.52/45.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB29, bitIndex0)) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v122(constB29))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB29, bitIndex0)) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v122(constB29))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5437,plain,
% 72.52/45.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB29, bitIndex0)) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v122(constB29))),
% 72.52/45.36 inference(quant_inst,[status(thm)],[])).
% 72.52/45.36 tff(5438,plain,
% 72.52/45.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB29, bitIndex0)) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v122(constB29)),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5437, 5436])).
% 72.52/45.36 tff(5439,plain,
% 72.52/45.36 ((~v90(constB29, bitIndex0)) | (~v90(constB29, bitIndex1)) | v122(constB29)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5438, 1203, 5412])).
% 72.52/45.36 tff(5440,plain,
% 72.52/45.36 (~v90(constB29, bitIndex1)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5439, 5431, 5435])).
% 72.52/45.36 tff(5441,plain,
% 72.52/45.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB29, bitIndex0)) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2) | v120(constB29))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB29, bitIndex0)) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2) | v120(constB29))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5442,plain,
% 72.52/45.36 (((~v90(constB29, bitIndex0)) | v120(constB29) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2)) <=> ((~v90(constB29, bitIndex0)) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2) | v120(constB29))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5443,plain,
% 72.52/45.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB29, bitIndex0)) | v120(constB29) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB29, bitIndex0)) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2) | v120(constB29)))),
% 72.52/45.36 inference(monotonicity,[status(thm)],[5442])).
% 72.52/45.36 tff(5444,plain,
% 72.52/45.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB29, bitIndex0)) | v120(constB29) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB29, bitIndex0)) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2) | v120(constB29))),
% 72.52/45.36 inference(transitivity,[status(thm)],[5443, 5441])).
% 72.52/45.36 tff(5445,plain,
% 72.52/45.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB29, bitIndex0)) | v120(constB29) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2))),
% 72.52/45.36 inference(quant_inst,[status(thm)],[])).
% 72.52/45.36 tff(5446,plain,
% 72.52/45.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB29, bitIndex0)) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2) | v120(constB29)),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5445, 5444])).
% 72.52/45.36 tff(5447,plain,
% 72.52/45.36 ((~v90(constB29, bitIndex0)) | v90(constB29, bitIndex1) | v120(constB29)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5446, 631, 5412])).
% 72.52/45.36 tff(5448,plain,
% 72.52/45.36 ($false),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5447, 5440, 5431, 5407])).
% 72.52/45.36 tff(5449,plain,(v116(constB29) | v90(constB29, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 72.52/45.36 tff(5450,plain,
% 72.52/45.36 (v116(constB29)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5449, 5394])).
% 72.52/45.36 tff(5451,plain,
% 72.52/45.36 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB29) | (~v116(constB29)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB29) | (~v116(constB29)))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5452,plain,
% 72.52/45.36 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB29) | (~v116(constB29)))),
% 72.52/45.36 inference(quant_inst,[status(thm)],[])).
% 72.52/45.36 tff(5453,plain,
% 72.52/45.36 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB29) | (~v116(constB29))),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5452, 5451])).
% 72.52/45.36 tff(5454,plain,
% 72.52/45.36 (v115(constB29)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5453, 265, 5450])).
% 72.52/45.36 tff(5455,plain,
% 72.52/45.36 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB29) | (~v115(constB29)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB29) | (~v115(constB29)))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5456,plain,
% 72.52/45.36 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB29) | (~v115(constB29)))),
% 72.52/45.36 inference(quant_inst,[status(thm)],[])).
% 72.52/45.36 tff(5457,plain,
% 72.52/45.36 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB29) | (~v115(constB29))),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5456, 5455])).
% 72.52/45.36 tff(5458,plain,
% 72.52/45.36 (v114(constB29)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5457, 276, 5454])).
% 72.52/45.36 tff(5459,plain,
% 72.52/45.36 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB29) | (~v114(constB29)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB29) | (~v114(constB29)))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5460,plain,
% 72.52/45.36 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB29) | (~v114(constB29)))),
% 72.52/45.36 inference(quant_inst,[status(thm)],[])).
% 72.52/45.36 tff(5461,plain,
% 72.52/45.36 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB29) | (~v114(constB29))),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5460, 5459])).
% 72.52/45.36 tff(5462,plain,
% 72.52/45.36 (v113(constB29)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5461, 287, 5458])).
% 72.52/45.36 tff(5463,assumption,(~v108(constB29)), introduced(assumption)).
% 72.52/45.36 tff(5464,plain,
% 72.52/45.36 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB29) | (~v112(constB29)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB29) | (~v112(constB29)))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5465,plain,
% 72.52/45.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB29) | (~v112(constB29)))),
% 72.52/45.36 inference(quant_inst,[status(thm)],[])).
% 72.52/45.36 tff(5466,plain,
% 72.52/45.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB29) | (~v112(constB29))),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5465, 5464])).
% 72.52/45.36 tff(5467,plain,
% 72.52/45.36 (~v112(constB29)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5466, 210, 5463])).
% 72.52/45.36 tff(5468,plain,
% 72.52/45.36 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB29) | (~v26(constB29)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB29) | (~v26(constB29)))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5469,plain,
% 72.52/45.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB29) | (~v26(constB29)))),
% 72.52/45.36 inference(quant_inst,[status(thm)],[])).
% 72.52/45.36 tff(5470,plain,
% 72.52/45.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB29) | (~v26(constB29))),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5469, 5468])).
% 72.52/45.36 tff(5471,plain,
% 72.52/45.36 (~v26(constB29)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5470, 221, 5463])).
% 72.52/45.36 tff(5472,assumption,(v113(constB29)), introduced(assumption)).
% 72.52/45.36 tff(5473,plain,
% 72.52/45.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | (~v113(constB29)) | v112(constB29))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5474,plain,
% 72.52/45.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))),
% 72.52/45.36 inference(quant_inst,[status(thm)],[])).
% 72.52/45.36 tff(5475,plain,
% 72.52/45.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | (~v113(constB29)) | v112(constB29)),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5474, 5473])).
% 72.52/45.36 tff(5476,plain,
% 72.52/45.36 (v26(constB29) | v112(constB29)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5475, 301, 5472])).
% 72.52/45.36 tff(5477,plain,
% 72.52/45.36 ($false),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5476, 5471, 5467])).
% 72.52/45.36 tff(5478,plain,(v108(constB29) | (~v113(constB29))), inference(lemma,lemma(discharge,[]))).
% 72.52/45.36 tff(5479,plain,
% 72.52/45.36 (v108(constB29)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5478, 5462])).
% 72.52/45.36 tff(5480,plain,
% 72.52/45.36 (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5481,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_29_1')).
% 72.52/45.36 tff(5482,plain,
% 72.52/45.36 (nextState(constB29, constB30)),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5481, 5480])).
% 72.52/45.36 tff(5483,plain,
% 72.52/45.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5484,plain,
% 72.52/45.36 (((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30)) <=> ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5485,plain,
% 72.52/45.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29))))),
% 72.52/45.36 inference(monotonicity,[status(thm)],[5484])).
% 72.52/45.36 tff(5486,plain,
% 72.52/45.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 72.52/45.36 inference(transitivity,[status(thm)],[5485, 5483])).
% 72.52/45.36 tff(5487,plain,
% 72.52/45.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))),
% 72.52/45.36 inference(quant_inst,[status(thm)],[])).
% 72.52/45.36 tff(5488,plain,
% 72.52/45.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29))),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5487, 5486])).
% 72.52/45.36 tff(5489,plain,
% 72.52/45.36 (v110(constB30) | (~v108(constB29))),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5488, 317, 5482])).
% 72.52/45.36 tff(5490,plain,
% 72.52/45.36 (v110(constB30)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5489, 5479])).
% 72.52/45.36 tff(5491,plain,
% 72.52/45.36 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5492,plain,
% 72.52/45.36 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))),
% 72.52/45.36 inference(quant_inst,[status(thm)],[])).
% 72.52/45.36 tff(5493,plain,
% 72.52/45.36 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30))),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5492, 5491])).
% 72.52/45.36 tff(5494,plain,
% 72.52/45.36 (~v104(constB30)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5493, 335, 5482, 5370])).
% 72.52/45.36 tff(5495,plain,
% 72.52/45.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5496,plain,
% 72.52/45.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))),
% 72.52/45.36 inference(quant_inst,[status(thm)],[])).
% 72.52/45.36 tff(5497,plain,
% 72.52/45.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v102(constB30) | v104(constB30)),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5496, 5495])).
% 72.52/45.36 tff(5498,plain,
% 72.52/45.36 (v102(constB30) | v104(constB30)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5497, 349, 5482])).
% 72.52/45.36 tff(5499,plain,
% 72.52/45.36 (v102(constB30)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5498, 5494])).
% 72.52/45.36 tff(5500,plain,
% 72.52/45.36 (v1(constB30) <=> v1(constB30)),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5501,axiom,(v1(constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_30_1')).
% 72.52/45.36 tff(5502,plain,
% 72.52/45.36 (v1(constB30)),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5501, 5500])).
% 72.52/45.36 tff(5503,plain,
% 72.52/45.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5504,plain,
% 72.52/45.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))),
% 72.52/45.36 inference(quant_inst,[status(thm)],[])).
% 72.52/45.36 tff(5505,plain,
% 72.52/45.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30))),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5504, 5503])).
% 72.52/45.36 tff(5506,plain,
% 72.52/45.36 (v101(constB30) | (~v102(constB30))),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5505, 367, 5482, 5502])).
% 72.52/45.36 tff(5507,plain,
% 72.52/45.36 (v101(constB30)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5506, 5499])).
% 72.52/45.36 tff(5508,plain,
% 72.52/45.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5509,plain,
% 72.52/45.36 (((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30)) <=> ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5510,plain,
% 72.52/45.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30))))),
% 72.52/45.36 inference(monotonicity,[status(thm)],[5509])).
% 72.52/45.36 tff(5511,plain,
% 72.52/45.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 72.52/45.36 inference(transitivity,[status(thm)],[5510, 5508])).
% 72.52/45.36 tff(5512,plain,
% 72.52/45.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))),
% 72.52/45.36 inference(quant_inst,[status(thm)],[])).
% 72.52/45.36 tff(5513,plain,
% 72.52/45.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30))),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5512, 5511])).
% 72.52/45.36 tff(5514,plain,
% 72.52/45.36 (v100(constB30) | (~v101(constB30)) | (~v110(constB30))),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5513, 382, 5482])).
% 72.52/45.36 tff(5515,plain,
% 72.52/45.36 (v100(constB30) | (~v110(constB30))),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5514, 5507])).
% 72.52/45.36 tff(5516,plain,
% 72.52/45.36 (v100(constB30)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5515, 5490])).
% 72.52/45.36 tff(5517,plain,
% 72.52/45.36 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB27)) | v130(constB27, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB27)) | v130(constB27, bitIndex1))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5518,plain,
% 72.52/45.36 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB27)) | v130(constB27, bitIndex1))),
% 72.52/45.36 inference(quant_inst,[status(thm)],[])).
% 72.52/45.36 tff(5519,plain,
% 72.52/45.36 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB27)) | v130(constB27, bitIndex1)),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5518, 5517])).
% 72.52/45.36 tff(5520,plain,
% 72.52/45.36 (v130(constB27, bitIndex1)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5519, 810, 5268])).
% 72.52/45.36 tff(5521,plain,
% 72.52/45.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5522,plain,
% 72.52/45.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1))),
% 72.52/45.36 inference(quant_inst,[status(thm)],[])).
% 72.52/45.36 tff(5523,plain,
% 72.52/45.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1)),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5522, 5521])).
% 72.52/45.36 tff(5524,plain,
% 72.52/45.36 ((~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5523, 824, 5296])).
% 72.52/45.36 tff(5525,plain,
% 72.52/45.36 (v127(constB27, bitIndex1)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5524, 5520])).
% 72.52/45.36 tff(5526,plain,
% 72.52/45.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5527,plain,
% 72.52/45.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1))),
% 72.52/45.36 inference(quant_inst,[status(thm)],[])).
% 72.52/45.36 tff(5528,plain,
% 72.52/45.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1)),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5527, 5526])).
% 72.52/45.36 tff(5529,plain,
% 72.52/45.36 ((~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5528, 839, 5308])).
% 72.52/45.36 tff(5530,plain,
% 72.52/45.36 (v129(constB28, bitIndex1)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5529, 5525])).
% 72.52/45.36 tff(5531,plain,
% 72.52/45.36 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5532,plain,
% 72.52/45.36 ((v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1))) <=> (v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5533,plain,
% 72.52/45.36 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28))))),
% 72.52/45.36 inference(monotonicity,[status(thm)],[5532])).
% 72.52/45.36 tff(5534,plain,
% 72.52/45.36 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))),
% 72.52/45.36 inference(transitivity,[status(thm)],[5533, 5531])).
% 72.52/45.36 tff(5535,plain,
% 72.52/45.36 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1)))),
% 72.52/45.36 inference(quant_inst,[status(thm)],[])).
% 72.52/45.36 tff(5536,plain,
% 72.52/45.36 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28))),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5535, 5534])).
% 72.52/45.36 tff(5537,plain,
% 72.52/45.36 (v90(constB28, bitIndex1) | (~v100(constB28))),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5536, 854, 5530])).
% 72.52/45.36 tff(5538,plain,
% 72.52/45.36 (v90(constB28, bitIndex1)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5537, 5342])).
% 72.52/45.36 tff(5539,plain,
% 72.52/45.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5540,plain,
% 72.52/45.36 (((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1)) <=> ((~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5541,plain,
% 72.52/45.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1)))),
% 72.52/45.36 inference(monotonicity,[status(thm)],[5540])).
% 72.52/45.36 tff(5542,plain,
% 72.52/45.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))),
% 72.52/45.36 inference(transitivity,[status(thm)],[5541, 5539])).
% 72.52/45.36 tff(5543,plain,
% 72.52/45.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1))),
% 72.52/45.36 inference(quant_inst,[status(thm)],[])).
% 72.52/45.36 tff(5544,plain,
% 72.52/45.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1)),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5543, 5542])).
% 72.52/45.36 tff(5545,plain,
% 72.52/45.36 ((~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5544, 872, 5373])).
% 72.52/45.36 tff(5546,plain,
% 72.52/45.36 ((~v90(constB28, bitIndex1)) | v90(constB29, bitIndex1)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5545, 5385])).
% 72.52/45.36 tff(5547,plain,
% 72.52/45.36 (v90(constB29, bitIndex1)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5546, 5538])).
% 72.52/45.36 tff(5548,plain,
% 72.52/45.36 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB27)) | (~v130(constB27, bitIndex0)))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5549,plain,
% 72.52/45.36 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex0)))),
% 72.52/45.36 inference(quant_inst,[status(thm)],[])).
% 72.52/45.36 tff(5550,plain,
% 72.52/45.36 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB27)) | (~v130(constB27, bitIndex0))),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5549, 5548])).
% 72.52/45.36 tff(5551,plain,
% 72.52/45.36 (~v130(constB27, bitIndex0)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5550, 891, 5268])).
% 72.52/45.36 tff(5552,plain,
% 72.52/45.36 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5553,plain,
% 72.52/45.36 ((v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0))) <=> ((~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5554,plain,
% 72.52/45.36 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0)))),
% 72.52/45.36 inference(monotonicity,[status(thm)],[5553])).
% 72.52/45.36 tff(5555,plain,
% 72.52/45.36 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))),
% 72.52/45.36 inference(transitivity,[status(thm)],[5554, 5552])).
% 72.52/45.36 tff(5556,plain,
% 72.52/45.36 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0)))),
% 72.52/45.36 inference(quant_inst,[status(thm)],[])).
% 72.52/45.36 tff(5557,plain,
% 72.52/45.36 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0)),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5556, 5555])).
% 72.52/45.36 tff(5558,plain,
% 72.52/45.36 ((~v127(constB27, bitIndex0)) | v130(constB27, bitIndex0)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5557, 905, 5296])).
% 72.52/45.36 tff(5559,plain,
% 72.52/45.36 (~v127(constB27, bitIndex0)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5558, 5551])).
% 72.52/45.36 tff(5560,plain,
% 72.52/45.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0)))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5561,plain,
% 72.52/45.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0)))),
% 72.52/45.36 inference(quant_inst,[status(thm)],[])).
% 72.52/45.36 tff(5562,plain,
% 72.52/45.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0))),
% 72.52/45.36 inference(modus_ponens,[status(thm)],[5561, 5560])).
% 72.52/45.36 tff(5563,plain,
% 72.52/45.36 (v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0))),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5562, 923, 5308])).
% 72.52/45.36 tff(5564,plain,
% 72.52/45.36 (~v129(constB28, bitIndex0)),
% 72.52/45.36 inference(unit_resolution,[status(thm)],[5563, 5559])).
% 72.52/45.36 tff(5565,plain,
% 72.52/45.36 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5566,plain,
% 72.52/45.36 (((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0)) <=> ((~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))),
% 72.52/45.36 inference(rewrite,[status(thm)],[])).
% 72.52/45.36 tff(5567,plain,
% 72.52/45.36 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28))))),
% 72.52/45.36 inference(monotonicity,[status(thm)],[5566])).
% 72.52/45.36 tff(5568,plain,
% 72.52/45.36 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))),
% 72.52/45.37 inference(transitivity,[status(thm)],[5567, 5565])).
% 72.52/45.37 tff(5569,plain,
% 72.52/45.37 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0))),
% 72.52/45.37 inference(quant_inst,[status(thm)],[])).
% 72.52/45.37 tff(5570,plain,
% 72.52/45.37 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28))),
% 72.52/45.37 inference(modus_ponens,[status(thm)],[5569, 5568])).
% 72.52/45.37 tff(5571,plain,
% 72.52/45.37 ((~v90(constB28, bitIndex0)) | (~v100(constB28))),
% 72.52/45.37 inference(unit_resolution,[status(thm)],[5570, 938, 5564])).
% 72.52/45.37 tff(5572,plain,
% 72.52/45.37 (~v90(constB28, bitIndex0)),
% 72.52/45.37 inference(unit_resolution,[status(thm)],[5571, 5342])).
% 72.52/45.37 tff(5573,plain,
% 72.52/45.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 72.52/45.37 inference(rewrite,[status(thm)],[])).
% 72.52/45.37 tff(5574,plain,
% 72.52/45.37 (((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0))) <=> (v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 72.52/45.37 inference(rewrite,[status(thm)],[])).
% 72.52/45.37 tff(5575,plain,
% 72.52/45.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0))))),
% 72.52/45.37 inference(monotonicity,[status(thm)],[5574])).
% 72.52/45.37 tff(5576,plain,
% 72.52/45.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 72.52/45.37 inference(transitivity,[status(thm)],[5575, 5573])).
% 72.52/45.37 tff(5577,plain,
% 72.52/45.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 72.52/45.37 inference(quant_inst,[status(thm)],[])).
% 72.52/45.37 tff(5578,plain,
% 72.52/45.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0))),
% 72.52/45.37 inference(modus_ponens,[status(thm)],[5577, 5576])).
% 72.52/45.37 tff(5579,plain,
% 72.52/45.37 (v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0))),
% 72.52/45.37 inference(unit_resolution,[status(thm)],[5578, 130, 5373])).
% 72.52/45.37 tff(5580,plain,
% 72.52/45.37 (v90(constB28, bitIndex0) | (~v90(constB29, bitIndex0))),
% 72.52/45.37 inference(unit_resolution,[status(thm)],[5579, 5385])).
% 72.52/45.37 tff(5581,plain,
% 72.52/45.37 (~v90(constB29, bitIndex0)),
% 72.52/45.37 inference(unit_resolution,[status(thm)],[5580, 5572])).
% 72.52/45.37 tff(5582,plain,
% 72.52/45.37 (v121(constB29)),
% 72.52/45.37 inference(unit_resolution,[status(thm)],[5422, 965, 5581, 5547, 5394])).
% 72.52/45.37 tff(5583,plain,
% 72.52/45.37 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB29)) | (~v130(constB29, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB29)) | (~v130(constB29, bitIndex2)))),
% 72.52/45.37 inference(rewrite,[status(thm)],[])).
% 72.52/45.37 tff(5584,plain,
% 72.52/45.37 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB29)) | (~v130(constB29, bitIndex2)))),
% 72.52/45.37 inference(quant_inst,[status(thm)],[])).
% 72.52/45.37 tff(5585,plain,
% 72.52/45.37 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB29)) | (~v130(constB29, bitIndex2))),
% 72.52/45.37 inference(modus_ponens,[status(thm)],[5584, 5583])).
% 72.52/45.37 tff(5586,plain,
% 72.52/45.37 (~v130(constB29, bitIndex2)),
% 72.52/45.37 inference(unit_resolution,[status(thm)],[5585, 1059, 5582])).
% 72.52/45.37 tff(5587,assumption,(v26(constB29)), introduced(assumption)).
% 72.52/45.37 tff(5588,plain,
% 72.52/45.37 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB29))),
% 72.52/45.37 inference(quant_inst,[status(thm)],[])).
% 72.52/45.37 tff(5589,plain,
% 72.52/45.37 ($false),
% 72.52/45.37 inference(unit_resolution,[status(thm)],[5588, 37, 5587])).
% 72.52/45.37 tff(5590,plain,(~v26(constB29)), inference(lemma,lemma(discharge,[]))).
% 72.52/45.37 tff(5591,plain,
% 72.52/45.37 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))),
% 72.52/45.37 inference(rewrite,[status(thm)],[])).
% 72.52/45.37 tff(5592,plain,
% 72.52/45.37 ((v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2))) <=> ((~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))),
% 72.52/45.37 inference(rewrite,[status(thm)],[])).
% 72.52/45.37 tff(5593,plain,
% 72.52/45.37 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2)))),
% 72.52/45.37 inference(monotonicity,[status(thm)],[5592])).
% 72.52/45.37 tff(5594,plain,
% 72.52/45.37 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))),
% 72.52/45.37 inference(transitivity,[status(thm)],[5593, 5591])).
% 72.52/45.37 tff(5595,plain,
% 72.52/45.37 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2)))),
% 72.52/45.37 inference(quant_inst,[status(thm)],[])).
% 72.52/45.37 tff(5596,plain,
% 72.52/45.37 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2)),
% 72.52/45.37 inference(modus_ponens,[status(thm)],[5595, 5594])).
% 72.52/45.37 tff(5597,plain,
% 72.52/45.37 ((~v127(constB29, bitIndex2)) | v130(constB29, bitIndex2)),
% 72.52/45.37 inference(unit_resolution,[status(thm)],[5596, 470, 5590])).
% 72.52/45.37 tff(5598,plain,
% 72.52/45.37 (~v127(constB29, bitIndex2)),
% 72.52/45.37 inference(unit_resolution,[status(thm)],[5597, 5586])).
% 72.52/45.37 tff(5599,plain,
% 72.52/45.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2)))),
% 72.52/45.37 inference(rewrite,[status(thm)],[])).
% 72.52/45.37 tff(5600,plain,
% 72.52/45.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2)))),
% 72.52/45.37 inference(quant_inst,[status(thm)],[])).
% 72.52/45.37 tff(5601,plain,
% 72.52/45.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2))),
% 72.52/45.37 inference(modus_ponens,[status(thm)],[5600, 5599])).
% 72.52/45.37 tff(5602,plain,
% 72.52/45.37 (v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2))),
% 72.52/45.37 inference(unit_resolution,[status(thm)],[5601, 488, 5482])).
% 72.52/45.37 tff(5603,plain,
% 72.52/45.37 (~v129(constB30, bitIndex2)),
% 72.52/45.37 inference(unit_resolution,[status(thm)],[5602, 5598])).
% 72.52/45.37 tff(5604,plain,
% 72.52/45.37 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))),
% 72.52/45.37 inference(rewrite,[status(thm)],[])).
% 72.52/45.37 tff(5605,plain,
% 72.52/45.37 (((~v90(constB30, bitIndex2)) | (~v100(constB30)) | v129(constB30, bitIndex2)) <=> ((~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))),
% 72.52/45.37 inference(rewrite,[status(thm)],[])).
% 72.52/45.37 tff(5606,plain,
% 72.52/45.37 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB30, bitIndex2)) | (~v100(constB30)) | v129(constB30, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30))))),
% 72.52/45.37 inference(monotonicity,[status(thm)],[5605])).
% 72.52/45.37 tff(5607,plain,
% 72.52/45.37 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB30, bitIndex2)) | (~v100(constB30)) | v129(constB30, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))),
% 72.52/45.37 inference(transitivity,[status(thm)],[5606, 5604])).
% 72.52/45.37 tff(5608,plain,
% 72.52/45.37 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB30, bitIndex2)) | (~v100(constB30)) | v129(constB30, bitIndex2))),
% 72.52/45.37 inference(quant_inst,[status(thm)],[])).
% 72.52/45.37 tff(5609,plain,
% 72.52/45.37 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30))),
% 72.52/45.37 inference(modus_ponens,[status(thm)],[5608, 5607])).
% 72.52/45.37 tff(5610,plain,
% 72.52/45.37 ((~v90(constB30, bitIndex2)) | (~v100(constB30))),
% 72.52/45.37 inference(unit_resolution,[status(thm)],[5609, 503, 5603])).
% 72.52/45.37 tff(5611,plain,
% 72.52/45.37 (~v90(constB30, bitIndex2)),
% 72.52/45.37 inference(unit_resolution,[status(thm)],[5610, 5516])).
% 72.52/45.37 tff(5612,plain,
% 72.52/45.37 ((~v1(constB31)) <=> (~v1(constB31))),
% 72.52/45.37 inference(rewrite,[status(thm)],[])).
% 72.52/45.37 tff(5613,axiom,(~v1(constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_31_1_1')).
% 72.52/45.37 tff(5614,plain,
% 72.52/45.37 (~v1(constB31)),
% 72.52/45.37 inference(modus_ponens,[status(thm)],[5613, 5612])).
% 72.52/45.37 tff(5615,plain,
% 72.52/45.37 (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 72.52/45.37 inference(rewrite,[status(thm)],[])).
% 72.52/45.37 tff(5616,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_30_1')).
% 72.52/45.37 tff(5617,plain,
% 72.52/45.37 (nextState(constB30, constB31)),
% 72.52/45.37 inference(modus_ponens,[status(thm)],[5616, 5615])).
% 72.52/45.37 tff(5618,plain,
% 72.52/45.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 72.52/45.37 inference(rewrite,[status(thm)],[])).
% 72.52/45.37 tff(5619,plain,
% 72.52/45.37 (((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31)) <=> (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 72.52/45.37 inference(rewrite,[status(thm)],[])).
% 72.52/45.37 tff(5620,plain,
% 72.52/45.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31))))),
% 72.52/45.37 inference(monotonicity,[status(thm)],[5619])).
% 72.52/45.37 tff(5621,plain,
% 72.52/45.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 72.52/45.37 inference(transitivity,[status(thm)],[5620, 5618])).
% 72.52/45.37 tff(5622,plain,
% 72.52/45.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))),
% 72.52/45.37 inference(quant_inst,[status(thm)],[])).
% 72.52/45.37 tff(5623,plain,
% 72.52/45.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31))),
% 72.52/45.37 inference(modus_ponens,[status(thm)],[5622, 5621])).
% 72.52/45.37 tff(5624,plain,
% 72.52/45.37 (~v101(constB31)),
% 72.52/45.37 inference(unit_resolution,[status(thm)],[5623, 56, 5617, 5614])).
% 72.52/45.37 tff(5625,plain,
% 72.52/45.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))),
% 72.52/45.37 inference(rewrite,[status(thm)],[])).
% 72.52/45.37 tff(5626,plain,
% 72.52/45.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))),
% 72.54/45.37 inference(quant_inst,[status(thm)],[])).
% 72.54/45.37 tff(5627,plain,
% 72.54/45.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31))),
% 72.54/45.37 inference(modus_ponens,[status(thm)],[5626, 5625])).
% 72.54/45.37 tff(5628,plain,
% 72.54/45.37 (v101(constB31) | (~v100(constB31))),
% 72.54/45.37 inference(unit_resolution,[status(thm)],[5627, 73, 5617])).
% 72.54/45.37 tff(5629,plain,
% 72.54/45.37 (~v100(constB31)),
% 72.54/45.37 inference(unit_resolution,[status(thm)],[5628, 5624])).
% 72.54/45.37 tff(5630,plain,
% 72.54/45.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 72.54/45.37 inference(rewrite,[status(thm)],[])).
% 72.54/45.37 tff(5631,plain,
% 72.54/45.37 (((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2))) <=> (v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 72.54/45.37 inference(rewrite,[status(thm)],[])).
% 72.54/45.37 tff(5632,plain,
% 72.54/45.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2))))),
% 72.54/45.37 inference(monotonicity,[status(thm)],[5631])).
% 72.54/45.37 tff(5633,plain,
% 72.54/45.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 72.54/45.37 inference(transitivity,[status(thm)],[5632, 5630])).
% 72.54/45.37 tff(5634,plain,
% 72.54/45.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 72.54/45.37 inference(quant_inst,[status(thm)],[])).
% 72.54/45.37 tff(5635,plain,
% 72.54/45.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2))),
% 72.54/45.37 inference(modus_ponens,[status(thm)],[5634, 5633])).
% 72.54/45.37 tff(5636,plain,
% 72.54/45.37 (v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2))),
% 72.54/45.37 inference(unit_resolution,[status(thm)],[5635, 88, 5617])).
% 72.54/45.37 tff(5637,plain,
% 72.54/45.37 (v90(constB30, bitIndex2) | (~v90(constB31, bitIndex2))),
% 72.54/45.37 inference(unit_resolution,[status(thm)],[5636, 5629])).
% 72.54/45.37 tff(5638,plain,
% 72.54/45.37 (~v90(constB31, bitIndex2)),
% 72.54/45.37 inference(unit_resolution,[status(thm)],[5637, 5611])).
% 72.54/45.37 tff(5639,plain,
% 72.54/45.37 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB29)) | v130(constB29, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB29)) | v130(constB29, bitIndex1))),
% 72.54/45.37 inference(rewrite,[status(thm)],[])).
% 72.54/45.37 tff(5640,plain,
% 72.54/45.37 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB29)) | v130(constB29, bitIndex1))),
% 72.54/45.37 inference(quant_inst,[status(thm)],[])).
% 72.54/45.37 tff(5641,plain,
% 72.54/45.37 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB29)) | v130(constB29, bitIndex1)),
% 72.54/45.37 inference(modus_ponens,[status(thm)],[5640, 5639])).
% 72.54/45.37 tff(5642,plain,
% 72.54/45.37 (v130(constB29, bitIndex1)),
% 72.54/45.37 inference(unit_resolution,[status(thm)],[5641, 1121, 5582])).
% 72.54/45.37 tff(5643,plain,
% 72.54/45.37 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1))),
% 72.54/45.37 inference(rewrite,[status(thm)],[])).
% 72.54/45.37 tff(5644,plain,
% 72.54/45.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1))),
% 72.54/45.37 inference(quant_inst,[status(thm)],[])).
% 72.54/45.37 tff(5645,plain,
% 72.54/45.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1)),
% 72.54/45.37 inference(modus_ponens,[status(thm)],[5644, 5643])).
% 72.54/45.37 tff(5646,plain,
% 72.54/45.37 ((~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1)),
% 72.54/45.37 inference(unit_resolution,[status(thm)],[5645, 824, 5590])).
% 72.54/45.37 tff(5647,plain,
% 72.54/45.37 (v127(constB29, bitIndex1)),
% 72.54/45.37 inference(unit_resolution,[status(thm)],[5646, 5642])).
% 72.54/45.37 tff(5648,plain,
% 72.54/45.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1))),
% 72.54/45.37 inference(rewrite,[status(thm)],[])).
% 72.54/45.37 tff(5649,plain,
% 72.54/45.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1))),
% 72.54/45.37 inference(quant_inst,[status(thm)],[])).
% 72.54/45.37 tff(5650,plain,
% 72.54/45.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1)),
% 72.54/45.37 inference(modus_ponens,[status(thm)],[5649, 5648])).
% 72.54/45.37 tff(5651,plain,
% 72.54/45.37 ((~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1)),
% 72.54/45.37 inference(unit_resolution,[status(thm)],[5650, 839, 5482])).
% 72.54/45.37 tff(5652,plain,
% 72.54/45.37 (v129(constB30, bitIndex1)),
% 72.54/45.37 inference(unit_resolution,[status(thm)],[5651, 5647])).
% 72.54/45.37 tff(5653,plain,
% 72.54/45.37 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))),
% 72.54/45.37 inference(rewrite,[status(thm)],[])).
% 72.54/45.37 tff(5654,plain,
% 72.54/45.37 ((v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1))) <=> (v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))),
% 72.54/45.37 inference(rewrite,[status(thm)],[])).
% 72.54/45.37 tff(5655,plain,
% 72.54/45.37 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30))))),
% 72.54/45.37 inference(monotonicity,[status(thm)],[5654])).
% 72.54/45.37 tff(5656,plain,
% 72.54/45.37 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))),
% 72.54/45.37 inference(transitivity,[status(thm)],[5655, 5653])).
% 72.54/45.37 tff(5657,plain,
% 72.54/45.37 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1)))),
% 72.54/45.37 inference(quant_inst,[status(thm)],[])).
% 72.54/45.37 tff(5658,plain,
% 72.54/45.37 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30))),
% 72.54/45.37 inference(modus_ponens,[status(thm)],[5657, 5656])).
% 72.54/45.37 tff(5659,plain,
% 72.54/45.37 (v90(constB30, bitIndex1) | (~v100(constB30))),
% 72.54/45.37 inference(unit_resolution,[status(thm)],[5658, 854, 5652])).
% 72.54/45.37 tff(5660,plain,
% 72.54/45.37 (v90(constB30, bitIndex1)),
% 72.54/45.37 inference(unit_resolution,[status(thm)],[5659, 5516])).
% 72.54/45.37 tff(5661,plain,
% 72.54/45.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))),
% 72.54/45.37 inference(rewrite,[status(thm)],[])).
% 72.54/45.37 tff(5662,plain,
% 72.54/45.37 (((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1)) <=> ((~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))),
% 72.54/45.37 inference(rewrite,[status(thm)],[])).
% 72.54/45.37 tff(5663,plain,
% 72.54/45.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1)))),
% 72.54/45.37 inference(monotonicity,[status(thm)],[5662])).
% 72.54/45.37 tff(5664,plain,
% 72.54/45.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))),
% 72.54/45.37 inference(transitivity,[status(thm)],[5663, 5661])).
% 72.54/45.37 tff(5665,plain,
% 72.54/45.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1))),
% 72.54/45.37 inference(quant_inst,[status(thm)],[])).
% 72.54/45.37 tff(5666,plain,
% 72.54/45.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1)),
% 72.54/45.37 inference(modus_ponens,[status(thm)],[5665, 5664])).
% 72.54/45.37 tff(5667,plain,
% 72.54/45.37 ((~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1)),
% 72.54/45.37 inference(unit_resolution,[status(thm)],[5666, 872, 5617])).
% 72.54/45.37 tff(5668,plain,
% 72.54/45.37 ((~v90(constB30, bitIndex1)) | v90(constB31, bitIndex1)),
% 72.54/45.37 inference(unit_resolution,[status(thm)],[5667, 5629])).
% 72.54/45.37 tff(5669,plain,
% 72.54/45.37 (v90(constB31, bitIndex1)),
% 72.54/45.37 inference(unit_resolution,[status(thm)],[5668, 5660])).
% 72.54/45.37 tff(5670,plain,
% 72.54/45.37 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB29)) | v130(constB29, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB29)) | v130(constB29, bitIndex0))),
% 72.54/45.37 inference(rewrite,[status(thm)],[])).
% 72.54/45.37 tff(5671,plain,
% 72.54/45.37 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB29)) | v130(constB29, bitIndex0))),
% 72.54/45.37 inference(quant_inst,[status(thm)],[])).
% 72.54/45.37 tff(5672,plain,
% 72.54/45.37 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB29)) | v130(constB29, bitIndex0)),
% 72.54/45.37 inference(modus_ponens,[status(thm)],[5671, 5670])).
% 72.54/45.37 tff(5673,plain,
% 72.54/45.37 (v130(constB29, bitIndex0)),
% 72.54/45.37 inference(unit_resolution,[status(thm)],[5672, 1162, 5582])).
% 72.54/45.37 tff(5674,plain,
% 72.54/45.37 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0))),
% 72.54/45.37 inference(rewrite,[status(thm)],[])).
% 72.54/45.37 tff(5675,plain,
% 72.54/45.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0))),
% 72.54/45.37 inference(quant_inst,[status(thm)],[])).
% 72.54/45.37 tff(5676,plain,
% 72.54/45.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0)),
% 72.54/45.37 inference(modus_ponens,[status(thm)],[5675, 5674])).
% 72.54/45.37 tff(5677,plain,
% 72.54/45.37 ((~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0)),
% 72.54/45.37 inference(unit_resolution,[status(thm)],[5676, 179, 5590])).
% 72.54/45.37 tff(5678,plain,
% 72.54/45.37 (v127(constB29, bitIndex0)),
% 72.54/45.37 inference(unit_resolution,[status(thm)],[5677, 5673])).
% 72.54/45.37 tff(5679,plain,
% 72.54/45.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0))),
% 72.54/45.37 inference(rewrite,[status(thm)],[])).
% 72.54/45.37 tff(5680,plain,
% 72.54/45.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0))),
% 72.54/45.37 inference(quant_inst,[status(thm)],[])).
% 72.54/45.37 tff(5681,plain,
% 72.54/45.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0)),
% 72.54/45.37 inference(modus_ponens,[status(thm)],[5680, 5679])).
% 72.54/45.37 tff(5682,plain,
% 72.54/45.37 ((~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0)),
% 72.54/45.37 inference(unit_resolution,[status(thm)],[5681, 197, 5482])).
% 72.54/45.37 tff(5683,plain,
% 72.54/45.37 (v129(constB30, bitIndex0)),
% 72.54/45.37 inference(unit_resolution,[status(thm)],[5682, 5678])).
% 72.54/45.37 tff(5684,plain,
% 72.54/45.37 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))),
% 72.54/45.37 inference(rewrite,[status(thm)],[])).
% 72.54/45.37 tff(5685,plain,
% 72.54/45.37 ((v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0))) <=> (v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))),
% 72.54/45.37 inference(rewrite,[status(thm)],[])).
% 72.54/45.37 tff(5686,plain,
% 72.54/45.37 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30))))),
% 72.54/45.37 inference(monotonicity,[status(thm)],[5685])).
% 72.54/45.37 tff(5687,plain,
% 72.54/45.37 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))),
% 72.54/45.37 inference(transitivity,[status(thm)],[5686, 5684])).
% 72.54/45.37 tff(5688,plain,
% 72.54/45.37 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0)))),
% 72.54/45.37 inference(quant_inst,[status(thm)],[])).
% 72.54/45.37 tff(5689,plain,
% 72.54/45.37 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30))),
% 72.54/45.37 inference(modus_ponens,[status(thm)],[5688, 5687])).
% 72.54/45.37 tff(5690,plain,
% 72.54/45.37 (v90(constB30, bitIndex0) | (~v100(constB30))),
% 72.54/45.37 inference(unit_resolution,[status(thm)],[5689, 401, 5683])).
% 72.54/45.37 tff(5691,plain,
% 72.54/45.37 (v90(constB30, bitIndex0)),
% 72.54/45.37 inference(unit_resolution,[status(thm)],[5690, 5516])).
% 72.54/45.37 tff(5692,plain,
% 72.54/45.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))),
% 72.54/45.37 inference(rewrite,[status(thm)],[])).
% 72.54/45.37 tff(5693,plain,
% 72.54/45.37 (((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0)) <=> ((~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5694,plain,
% 72.54/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0)))),
% 72.54/45.38 inference(monotonicity,[status(thm)],[5693])).
% 72.54/45.38 tff(5695,plain,
% 72.54/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))),
% 72.54/45.38 inference(transitivity,[status(thm)],[5694, 5692])).
% 72.54/45.38 tff(5696,plain,
% 72.54/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0))),
% 72.54/45.38 inference(quant_inst,[status(thm)],[])).
% 72.54/45.38 tff(5697,plain,
% 72.54/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0)),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5696, 5695])).
% 72.54/45.38 tff(5698,plain,
% 72.54/45.38 ((~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5697, 437, 5617])).
% 72.54/45.38 tff(5699,plain,
% 72.54/45.38 ((~v90(constB30, bitIndex0)) | v90(constB31, bitIndex0)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5698, 5629])).
% 72.54/45.38 tff(5700,plain,
% 72.54/45.38 (v90(constB31, bitIndex0)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5699, 5691])).
% 72.54/45.38 tff(5701,plain,
% 72.54/45.38 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5702,plain,
% 72.54/45.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31))),
% 72.54/45.38 inference(quant_inst,[status(thm)],[])).
% 72.54/45.38 tff(5703,plain,
% 72.54/45.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31)),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5702, 5701])).
% 72.54/45.38 tff(5704,plain,
% 72.54/45.38 (v122(constB31)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5703, 1203, 5700, 5669, 5638])).
% 72.54/45.38 tff(5705,plain,
% 72.54/45.38 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB31) | (~v122(constB31)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB31) | (~v122(constB31)))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5706,plain,
% 72.54/45.38 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB31) | (~v122(constB31)))),
% 72.54/45.38 inference(quant_inst,[status(thm)],[])).
% 72.54/45.38 tff(5707,plain,
% 72.54/45.38 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB31) | (~v122(constB31))),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5706, 5705])).
% 72.54/45.38 tff(5708,plain,
% 72.54/45.38 (v116(constB31)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5707, 1214, 5704])).
% 72.54/45.38 tff(5709,plain,
% 72.54/45.38 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB31) | (~v116(constB31)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB31) | (~v116(constB31)))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5710,plain,
% 72.54/45.38 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB31) | (~v116(constB31)))),
% 72.54/45.38 inference(quant_inst,[status(thm)],[])).
% 72.54/45.38 tff(5711,plain,
% 72.54/45.38 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB31) | (~v116(constB31))),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5710, 5709])).
% 72.54/45.38 tff(5712,plain,
% 72.54/45.38 (v115(constB31)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5711, 265, 5708])).
% 72.54/45.38 tff(5713,plain,
% 72.54/45.38 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB31) | (~v115(constB31)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB31) | (~v115(constB31)))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5714,plain,
% 72.54/45.38 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB31) | (~v115(constB31)))),
% 72.54/45.38 inference(quant_inst,[status(thm)],[])).
% 72.54/45.38 tff(5715,plain,
% 72.54/45.38 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB31) | (~v115(constB31))),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5714, 5713])).
% 72.54/45.38 tff(5716,plain,
% 72.54/45.38 (v114(constB31)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5715, 276, 5712])).
% 72.54/45.38 tff(5717,plain,
% 72.54/45.38 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB31) | (~v114(constB31)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB31) | (~v114(constB31)))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5718,plain,
% 72.54/45.38 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB31) | (~v114(constB31)))),
% 72.54/45.38 inference(quant_inst,[status(thm)],[])).
% 72.54/45.38 tff(5719,plain,
% 72.54/45.38 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB31) | (~v114(constB31))),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5718, 5717])).
% 72.54/45.38 tff(5720,plain,
% 72.54/45.38 (v113(constB31)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5719, 287, 5716])).
% 72.54/45.38 tff(5721,assumption,(v26(constB31)), introduced(assumption)).
% 72.54/45.38 tff(5722,plain,
% 72.54/45.38 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB31))),
% 72.54/45.38 inference(quant_inst,[status(thm)],[])).
% 72.54/45.38 tff(5723,plain,
% 72.54/45.38 ($false),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5722, 37, 5721])).
% 72.54/45.38 tff(5724,plain,(~v26(constB31)), inference(lemma,lemma(discharge,[]))).
% 72.54/45.38 tff(5725,plain,
% 72.54/45.38 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | v112(constB31) | (~v113(constB31)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | v112(constB31) | (~v113(constB31)))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5726,plain,
% 72.54/45.38 ((v26(constB31) | (~v113(constB31)) | v112(constB31)) <=> (v26(constB31) | v112(constB31) | (~v113(constB31)))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5727,plain,
% 72.54/45.38 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | v112(constB31) | (~v113(constB31))))),
% 72.54/45.38 inference(monotonicity,[status(thm)],[5726])).
% 72.54/45.38 tff(5728,plain,
% 72.54/45.38 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | v112(constB31) | (~v113(constB31)))),
% 72.54/45.38 inference(transitivity,[status(thm)],[5727, 5725])).
% 72.54/45.38 tff(5729,plain,
% 72.54/45.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))),
% 72.54/45.38 inference(quant_inst,[status(thm)],[])).
% 72.54/45.38 tff(5730,plain,
% 72.54/45.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | v112(constB31) | (~v113(constB31))),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5729, 5728])).
% 72.54/45.38 tff(5731,plain,
% 72.54/45.38 (v112(constB31) | (~v113(constB31))),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5730, 301, 5724])).
% 72.54/45.38 tff(5732,plain,
% 72.54/45.38 (v112(constB31)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5731, 5720])).
% 72.54/45.38 tff(5733,plain,
% 72.54/45.38 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB31) | (~v112(constB31)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB31) | (~v112(constB31)))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5734,plain,
% 72.54/45.38 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB31) | (~v112(constB31)))),
% 72.54/45.38 inference(quant_inst,[status(thm)],[])).
% 72.54/45.38 tff(5735,plain,
% 72.54/45.38 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB31) | (~v112(constB31))),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5734, 5733])).
% 72.54/45.38 tff(5736,plain,
% 72.54/45.38 (v108(constB31)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5735, 210, 5732])).
% 72.54/45.38 tff(5737,plain,
% 72.54/45.38 (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5738,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_31_1')).
% 72.54/45.38 tff(5739,plain,
% 72.54/45.38 (nextState(constB31, constB32)),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5738, 5737])).
% 72.54/45.38 tff(5740,plain,
% 72.54/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5741,plain,
% 72.54/45.38 (((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32)) <=> ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5742,plain,
% 72.54/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31))))),
% 72.54/45.38 inference(monotonicity,[status(thm)],[5741])).
% 72.54/45.38 tff(5743,plain,
% 72.54/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 72.54/45.38 inference(transitivity,[status(thm)],[5742, 5740])).
% 72.54/45.38 tff(5744,plain,
% 72.54/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))),
% 72.54/45.38 inference(quant_inst,[status(thm)],[])).
% 72.54/45.38 tff(5745,plain,
% 72.54/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31))),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5744, 5743])).
% 72.54/45.38 tff(5746,plain,
% 72.54/45.38 (v110(constB32) | (~v108(constB31))),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5745, 317, 5739])).
% 72.54/45.38 tff(5747,plain,
% 72.54/45.38 (v110(constB32)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5746, 5736])).
% 72.54/45.38 tff(5748,plain,
% 72.54/45.38 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5749,plain,
% 72.54/45.38 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))),
% 72.54/45.38 inference(quant_inst,[status(thm)],[])).
% 72.54/45.38 tff(5750,plain,
% 72.54/45.38 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32))),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5749, 5748])).
% 72.54/45.38 tff(5751,plain,
% 72.54/45.38 (~v104(constB32)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5750, 335, 5739, 5614])).
% 72.54/45.38 tff(5752,plain,
% 72.54/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5753,plain,
% 72.54/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))),
% 72.54/45.38 inference(quant_inst,[status(thm)],[])).
% 72.54/45.38 tff(5754,plain,
% 72.54/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v102(constB32) | v104(constB32)),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5753, 5752])).
% 72.54/45.38 tff(5755,plain,
% 72.54/45.38 (v102(constB32) | v104(constB32)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5754, 349, 5739])).
% 72.54/45.38 tff(5756,plain,
% 72.54/45.38 (v102(constB32)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5755, 5751])).
% 72.54/45.38 tff(5757,plain,
% 72.54/45.38 (v1(constB32) <=> v1(constB32)),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5758,axiom,(v1(constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_32_1')).
% 72.54/45.38 tff(5759,plain,
% 72.54/45.38 (v1(constB32)),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5758, 5757])).
% 72.54/45.38 tff(5760,plain,
% 72.54/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5761,plain,
% 72.54/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))),
% 72.54/45.38 inference(quant_inst,[status(thm)],[])).
% 72.54/45.38 tff(5762,plain,
% 72.54/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32))),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5761, 5760])).
% 72.54/45.38 tff(5763,plain,
% 72.54/45.38 (v101(constB32) | (~v102(constB32))),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5762, 367, 5739, 5759])).
% 72.54/45.38 tff(5764,plain,
% 72.54/45.38 (v101(constB32)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5763, 5756])).
% 72.54/45.38 tff(5765,plain,
% 72.54/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5766,plain,
% 72.54/45.38 (((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32)) <=> ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5767,plain,
% 72.54/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32))))),
% 72.54/45.38 inference(monotonicity,[status(thm)],[5766])).
% 72.54/45.38 tff(5768,plain,
% 72.54/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 72.54/45.38 inference(transitivity,[status(thm)],[5767, 5765])).
% 72.54/45.38 tff(5769,plain,
% 72.54/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))),
% 72.54/45.38 inference(quant_inst,[status(thm)],[])).
% 72.54/45.38 tff(5770,plain,
% 72.54/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32))),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5769, 5768])).
% 72.54/45.38 tff(5771,plain,
% 72.54/45.38 (v100(constB32) | (~v101(constB32)) | (~v110(constB32))),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5770, 382, 5739])).
% 72.54/45.38 tff(5772,plain,
% 72.54/45.38 (v100(constB32) | (~v110(constB32))),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5771, 5764])).
% 72.54/45.38 tff(5773,plain,
% 72.54/45.38 (v100(constB32)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5772, 5747])).
% 72.54/45.38 tff(5774,plain,
% 72.54/45.38 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB31)) | v130(constB31, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB31)) | v130(constB31, bitIndex2))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5775,plain,
% 72.54/45.38 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB31)) | v130(constB31, bitIndex2))),
% 72.54/45.38 inference(quant_inst,[status(thm)],[])).
% 72.54/45.38 tff(5776,plain,
% 72.54/45.38 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB31)) | v130(constB31, bitIndex2)),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5775, 5774])).
% 72.54/45.38 tff(5777,plain,
% 72.54/45.38 (v130(constB31, bitIndex2)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5776, 1290, 5704])).
% 72.54/45.38 tff(5778,plain,
% 72.54/45.38 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5779,plain,
% 72.54/45.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2))),
% 72.54/45.38 inference(quant_inst,[status(thm)],[])).
% 72.54/45.38 tff(5780,plain,
% 72.54/45.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2)),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5779, 5778])).
% 72.54/45.38 tff(5781,plain,
% 72.54/45.38 ((~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5780, 1304, 5724])).
% 72.54/45.38 tff(5782,plain,
% 72.54/45.38 (v127(constB31, bitIndex2)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5781, 5777])).
% 72.54/45.38 tff(5783,plain,
% 72.54/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5784,plain,
% 72.54/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2))),
% 72.54/45.38 inference(quant_inst,[status(thm)],[])).
% 72.54/45.38 tff(5785,plain,
% 72.54/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2)),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5784, 5783])).
% 72.54/45.38 tff(5786,plain,
% 72.54/45.38 ((~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5785, 1319, 5739])).
% 72.54/45.38 tff(5787,plain,
% 72.54/45.38 (v129(constB32, bitIndex2)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5786, 5782])).
% 72.54/45.38 tff(5788,plain,
% 72.54/45.38 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5789,plain,
% 72.54/45.38 ((v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2))) <=> (v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5790,plain,
% 72.54/45.38 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32))))),
% 72.54/45.38 inference(monotonicity,[status(thm)],[5789])).
% 72.54/45.38 tff(5791,plain,
% 72.54/45.38 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))),
% 72.54/45.38 inference(transitivity,[status(thm)],[5790, 5788])).
% 72.54/45.38 tff(5792,plain,
% 72.54/45.38 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2)))),
% 72.54/45.38 inference(quant_inst,[status(thm)],[])).
% 72.54/45.38 tff(5793,plain,
% 72.54/45.38 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32))),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5792, 5791])).
% 72.54/45.38 tff(5794,plain,
% 72.54/45.38 (v90(constB32, bitIndex2) | (~v100(constB32))),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5793, 1334, 5787])).
% 72.54/45.38 tff(5795,plain,
% 72.54/45.38 (v90(constB32, bitIndex2)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5794, 5773])).
% 72.54/45.38 tff(5796,plain,
% 72.54/45.38 ((~v1(constB33)) <=> (~v1(constB33))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5797,axiom,(~v1(constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_33_1_1')).
% 72.54/45.38 tff(5798,plain,
% 72.54/45.38 (~v1(constB33)),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5797, 5796])).
% 72.54/45.38 tff(5799,plain,
% 72.54/45.38 (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5800,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_32_1')).
% 72.54/45.38 tff(5801,plain,
% 72.54/45.38 (nextState(constB32, constB33)),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5800, 5799])).
% 72.54/45.38 tff(5802,plain,
% 72.54/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5803,plain,
% 72.54/45.38 (((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33)) <=> (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5804,plain,
% 72.54/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33))))),
% 72.54/45.38 inference(monotonicity,[status(thm)],[5803])).
% 72.54/45.38 tff(5805,plain,
% 72.54/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 72.54/45.38 inference(transitivity,[status(thm)],[5804, 5802])).
% 72.54/45.38 tff(5806,plain,
% 72.54/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))),
% 72.54/45.38 inference(quant_inst,[status(thm)],[])).
% 72.54/45.38 tff(5807,plain,
% 72.54/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33))),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5806, 5805])).
% 72.54/45.38 tff(5808,plain,
% 72.54/45.38 (~v101(constB33)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5807, 56, 5801, 5798])).
% 72.54/45.38 tff(5809,plain,
% 72.54/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5810,plain,
% 72.54/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))),
% 72.54/45.38 inference(quant_inst,[status(thm)],[])).
% 72.54/45.38 tff(5811,plain,
% 72.54/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33))),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5810, 5809])).
% 72.54/45.38 tff(5812,plain,
% 72.54/45.38 (v101(constB33) | (~v100(constB33))),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5811, 73, 5801])).
% 72.54/45.38 tff(5813,plain,
% 72.54/45.38 (~v100(constB33)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5812, 5808])).
% 72.54/45.38 tff(5814,plain,
% 72.54/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5815,plain,
% 72.54/45.38 (((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2)) <=> ((~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5816,plain,
% 72.54/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2)))),
% 72.54/45.38 inference(monotonicity,[status(thm)],[5815])).
% 72.54/45.38 tff(5817,plain,
% 72.54/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))),
% 72.54/45.38 inference(transitivity,[status(thm)],[5816, 5814])).
% 72.54/45.38 tff(5818,plain,
% 72.54/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2))),
% 72.54/45.38 inference(quant_inst,[status(thm)],[])).
% 72.54/45.38 tff(5819,plain,
% 72.54/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2)),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5818, 5817])).
% 72.54/45.38 tff(5820,plain,
% 72.54/45.38 ((~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5819, 1370, 5801])).
% 72.54/45.38 tff(5821,plain,
% 72.54/45.38 ((~v90(constB32, bitIndex2)) | v90(constB33, bitIndex2)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5820, 5813])).
% 72.54/45.38 tff(5822,plain,
% 72.54/45.38 (v90(constB33, bitIndex2)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5821, 5795])).
% 72.54/45.38 tff(5823,plain,
% 72.54/45.38 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB31)) | (~v130(constB31, bitIndex1)))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5824,plain,
% 72.54/45.38 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex1)))),
% 72.54/45.38 inference(quant_inst,[status(thm)],[])).
% 72.54/45.38 tff(5825,plain,
% 72.54/45.38 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB31)) | (~v130(constB31, bitIndex1))),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5824, 5823])).
% 72.54/45.38 tff(5826,plain,
% 72.54/45.38 (~v130(constB31, bitIndex1)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5825, 1389, 5704])).
% 72.54/45.38 tff(5827,plain,
% 72.54/45.38 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5828,plain,
% 72.54/45.38 ((v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1))) <=> ((~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5829,plain,
% 72.54/45.38 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1)))),
% 72.54/45.38 inference(monotonicity,[status(thm)],[5828])).
% 72.54/45.38 tff(5830,plain,
% 72.54/45.38 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))),
% 72.54/45.38 inference(transitivity,[status(thm)],[5829, 5827])).
% 72.54/45.38 tff(5831,plain,
% 72.54/45.38 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1)))),
% 72.54/45.38 inference(quant_inst,[status(thm)],[])).
% 72.54/45.38 tff(5832,plain,
% 72.54/45.38 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1)),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5831, 5830])).
% 72.54/45.38 tff(5833,plain,
% 72.54/45.38 ((~v127(constB31, bitIndex1)) | v130(constB31, bitIndex1)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5832, 555, 5724])).
% 72.54/45.38 tff(5834,plain,
% 72.54/45.38 (~v127(constB31, bitIndex1)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5833, 5826])).
% 72.54/45.38 tff(5835,plain,
% 72.54/45.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1)))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5836,plain,
% 72.54/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1)))),
% 72.54/45.38 inference(quant_inst,[status(thm)],[])).
% 72.54/45.38 tff(5837,plain,
% 72.54/45.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1))),
% 72.54/45.38 inference(modus_ponens,[status(thm)],[5836, 5835])).
% 72.54/45.38 tff(5838,plain,
% 72.54/45.38 (v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1))),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5837, 588, 5739])).
% 72.54/45.38 tff(5839,plain,
% 72.54/45.38 (~v129(constB32, bitIndex1)),
% 72.54/45.38 inference(unit_resolution,[status(thm)],[5838, 5834])).
% 72.54/45.38 tff(5840,plain,
% 72.54/45.38 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5841,plain,
% 72.54/45.38 (((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1)) <=> ((~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))),
% 72.54/45.38 inference(rewrite,[status(thm)],[])).
% 72.54/45.38 tff(5842,plain,
% 72.54/45.38 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32))))),
% 72.54/45.38 inference(monotonicity,[status(thm)],[5841])).
% 72.54/45.38 tff(5843,plain,
% 72.54/45.38 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))),
% 72.54/45.38 inference(transitivity,[status(thm)],[5842, 5840])).
% 72.54/45.38 tff(5844,plain,
% 72.54/45.38 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1))),
% 72.54/45.39 inference(quant_inst,[status(thm)],[])).
% 72.54/45.39 tff(5845,plain,
% 72.54/45.39 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32))),
% 72.54/45.39 inference(modus_ponens,[status(thm)],[5844, 5843])).
% 72.54/45.39 tff(5846,plain,
% 72.54/45.39 ((~v90(constB32, bitIndex1)) | (~v100(constB32))),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5845, 603, 5839])).
% 72.54/45.39 tff(5847,plain,
% 72.54/45.39 (~v90(constB32, bitIndex1)),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5846, 5773])).
% 72.54/45.39 tff(5848,plain,
% 72.54/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5849,plain,
% 72.54/45.39 (((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1))) <=> (v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5850,plain,
% 72.54/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1))))),
% 72.54/45.39 inference(monotonicity,[status(thm)],[5849])).
% 72.54/45.39 tff(5851,plain,
% 72.54/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 72.54/45.39 inference(transitivity,[status(thm)],[5850, 5848])).
% 72.54/45.39 tff(5852,plain,
% 72.54/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 72.54/45.39 inference(quant_inst,[status(thm)],[])).
% 72.54/45.39 tff(5853,plain,
% 72.54/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1))),
% 72.54/45.39 inference(modus_ponens,[status(thm)],[5852, 5851])).
% 72.54/45.39 tff(5854,plain,
% 72.54/45.39 (v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1))),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5853, 109, 5801])).
% 72.54/45.39 tff(5855,plain,
% 72.54/45.39 (v90(constB32, bitIndex1) | (~v90(constB33, bitIndex1))),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5854, 5813])).
% 72.54/45.39 tff(5856,plain,
% 72.54/45.39 (~v90(constB33, bitIndex1)),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5855, 5847])).
% 72.54/45.39 tff(5857,plain,
% 72.54/45.39 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB31)) | (~v130(constB31, bitIndex0)))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5858,plain,
% 72.54/45.39 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex0)))),
% 72.54/45.39 inference(quant_inst,[status(thm)],[])).
% 72.54/45.39 tff(5859,plain,
% 72.54/45.39 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB31)) | (~v130(constB31, bitIndex0))),
% 72.54/45.39 inference(modus_ponens,[status(thm)],[5858, 5857])).
% 72.54/45.39 tff(5860,plain,
% 72.54/45.39 (~v130(constB31, bitIndex0)),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5859, 1433, 5704])).
% 72.54/45.39 tff(5861,plain,
% 72.54/45.39 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5862,plain,
% 72.54/45.39 ((v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0))) <=> ((~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5863,plain,
% 72.54/45.39 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0)))),
% 72.54/45.39 inference(monotonicity,[status(thm)],[5862])).
% 72.54/45.39 tff(5864,plain,
% 72.54/45.39 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))),
% 72.54/45.39 inference(transitivity,[status(thm)],[5863, 5861])).
% 72.54/45.39 tff(5865,plain,
% 72.54/45.39 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0)))),
% 72.54/45.39 inference(quant_inst,[status(thm)],[])).
% 72.54/45.39 tff(5866,plain,
% 72.54/45.39 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0)),
% 72.54/45.39 inference(modus_ponens,[status(thm)],[5865, 5864])).
% 72.54/45.39 tff(5867,plain,
% 72.54/45.39 ((~v127(constB31, bitIndex0)) | v130(constB31, bitIndex0)),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5866, 905, 5724])).
% 72.54/45.39 tff(5868,plain,
% 72.54/45.39 (~v127(constB31, bitIndex0)),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5867, 5860])).
% 72.54/45.39 tff(5869,plain,
% 72.54/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0)))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5870,plain,
% 72.54/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0)))),
% 72.54/45.39 inference(quant_inst,[status(thm)],[])).
% 72.54/45.39 tff(5871,plain,
% 72.54/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0))),
% 72.54/45.39 inference(modus_ponens,[status(thm)],[5870, 5869])).
% 72.54/45.39 tff(5872,plain,
% 72.54/45.39 (v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0))),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5871, 923, 5739])).
% 72.54/45.39 tff(5873,plain,
% 72.54/45.39 (~v129(constB32, bitIndex0)),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5872, 5868])).
% 72.54/45.39 tff(5874,plain,
% 72.54/45.39 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5875,plain,
% 72.54/45.39 (((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0)) <=> ((~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5876,plain,
% 72.54/45.39 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32))))),
% 72.54/45.39 inference(monotonicity,[status(thm)],[5875])).
% 72.54/45.39 tff(5877,plain,
% 72.54/45.39 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))),
% 72.54/45.39 inference(transitivity,[status(thm)],[5876, 5874])).
% 72.54/45.39 tff(5878,plain,
% 72.54/45.39 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0))),
% 72.54/45.39 inference(quant_inst,[status(thm)],[])).
% 72.54/45.39 tff(5879,plain,
% 72.54/45.39 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32))),
% 72.54/45.39 inference(modus_ponens,[status(thm)],[5878, 5877])).
% 72.54/45.39 tff(5880,plain,
% 72.54/45.39 ((~v90(constB32, bitIndex0)) | (~v100(constB32))),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5879, 938, 5873])).
% 72.54/45.39 tff(5881,plain,
% 72.54/45.39 (~v90(constB32, bitIndex0)),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5880, 5773])).
% 72.54/45.39 tff(5882,plain,
% 72.54/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5883,plain,
% 72.54/45.39 (((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0))) <=> (v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5884,plain,
% 72.54/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0))))),
% 72.54/45.39 inference(monotonicity,[status(thm)],[5883])).
% 72.54/45.39 tff(5885,plain,
% 72.54/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 72.54/45.39 inference(transitivity,[status(thm)],[5884, 5882])).
% 72.54/45.39 tff(5886,plain,
% 72.54/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 72.54/45.39 inference(quant_inst,[status(thm)],[])).
% 72.54/45.39 tff(5887,plain,
% 72.54/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0))),
% 72.54/45.39 inference(modus_ponens,[status(thm)],[5886, 5885])).
% 72.54/45.39 tff(5888,plain,
% 72.54/45.39 (v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0))),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5887, 130, 5801])).
% 72.54/45.39 tff(5889,plain,
% 72.54/45.39 (v90(constB32, bitIndex0) | (~v90(constB33, bitIndex0))),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5888, 5813])).
% 72.54/45.39 tff(5890,plain,
% 72.54/45.39 (~v90(constB33, bitIndex0)),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5889, 5881])).
% 72.54/45.39 tff(5891,plain,
% 72.54/45.39 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5892,plain,
% 72.54/45.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33))),
% 72.54/45.39 inference(quant_inst,[status(thm)],[])).
% 72.54/45.39 tff(5893,plain,
% 72.54/45.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33)),
% 72.54/45.39 inference(modus_ponens,[status(thm)],[5892, 5891])).
% 72.54/45.39 tff(5894,plain,
% 72.54/45.39 (v123(constB33)),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5893, 1477, 5890, 5856, 5822])).
% 72.54/45.39 tff(5895,plain,
% 72.54/45.39 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB33) | (~v123(constB33)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB33) | (~v123(constB33)))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5896,plain,
% 72.54/45.39 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB33) | (~v123(constB33)))),
% 72.54/45.39 inference(quant_inst,[status(thm)],[])).
% 72.54/45.39 tff(5897,plain,
% 72.54/45.39 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB33) | (~v123(constB33))),
% 72.54/45.39 inference(modus_ponens,[status(thm)],[5896, 5895])).
% 72.54/45.39 tff(5898,plain,
% 72.54/45.39 (v115(constB33)),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5897, 1488, 5894])).
% 72.54/45.39 tff(5899,plain,
% 72.54/45.39 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB33) | (~v115(constB33)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB33) | (~v115(constB33)))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5900,plain,
% 72.54/45.39 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB33) | (~v115(constB33)))),
% 72.54/45.39 inference(quant_inst,[status(thm)],[])).
% 72.54/45.39 tff(5901,plain,
% 72.54/45.39 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB33) | (~v115(constB33))),
% 72.54/45.39 inference(modus_ponens,[status(thm)],[5900, 5899])).
% 72.54/45.39 tff(5902,plain,
% 72.54/45.39 (v114(constB33)),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5901, 276, 5898])).
% 72.54/45.39 tff(5903,plain,
% 72.54/45.39 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB33) | (~v114(constB33)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB33) | (~v114(constB33)))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5904,plain,
% 72.54/45.39 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB33) | (~v114(constB33)))),
% 72.54/45.39 inference(quant_inst,[status(thm)],[])).
% 72.54/45.39 tff(5905,plain,
% 72.54/45.39 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB33) | (~v114(constB33))),
% 72.54/45.39 inference(modus_ponens,[status(thm)],[5904, 5903])).
% 72.54/45.39 tff(5906,plain,
% 72.54/45.39 (v113(constB33)),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5905, 287, 5902])).
% 72.54/45.39 tff(5907,assumption,(v26(constB33)), introduced(assumption)).
% 72.54/45.39 tff(5908,plain,
% 72.54/45.39 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB33))),
% 72.54/45.39 inference(quant_inst,[status(thm)],[])).
% 72.54/45.39 tff(5909,plain,
% 72.54/45.39 ($false),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5908, 37, 5907])).
% 72.54/45.39 tff(5910,plain,(~v26(constB33)), inference(lemma,lemma(discharge,[]))).
% 72.54/45.39 tff(5911,plain,
% 72.54/45.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | (~v113(constB33)) | v112(constB33))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5912,plain,
% 72.54/45.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))),
% 72.54/45.39 inference(quant_inst,[status(thm)],[])).
% 72.54/45.39 tff(5913,plain,
% 72.54/45.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | (~v113(constB33)) | v112(constB33)),
% 72.54/45.39 inference(modus_ponens,[status(thm)],[5912, 5911])).
% 72.54/45.39 tff(5914,plain,
% 72.54/45.39 ((~v113(constB33)) | v112(constB33)),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5913, 301, 5910])).
% 72.54/45.39 tff(5915,plain,
% 72.54/45.39 (v112(constB33)),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5914, 5906])).
% 72.54/45.39 tff(5916,plain,
% 72.54/45.39 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB33) | (~v112(constB33)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB33) | (~v112(constB33)))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5917,plain,
% 72.54/45.39 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB33) | (~v112(constB33)))),
% 72.54/45.39 inference(quant_inst,[status(thm)],[])).
% 72.54/45.39 tff(5918,plain,
% 72.54/45.39 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB33) | (~v112(constB33))),
% 72.54/45.39 inference(modus_ponens,[status(thm)],[5917, 5916])).
% 72.54/45.39 tff(5919,plain,
% 72.54/45.39 (v108(constB33)),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5918, 210, 5915])).
% 72.54/45.39 tff(5920,plain,
% 72.54/45.39 (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5921,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_33_1')).
% 72.54/45.39 tff(5922,plain,
% 72.54/45.39 (nextState(constB33, constB34)),
% 72.54/45.39 inference(modus_ponens,[status(thm)],[5921, 5920])).
% 72.54/45.39 tff(5923,plain,
% 72.54/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5924,plain,
% 72.54/45.39 (((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34)) <=> ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5925,plain,
% 72.54/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33))))),
% 72.54/45.39 inference(monotonicity,[status(thm)],[5924])).
% 72.54/45.39 tff(5926,plain,
% 72.54/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 72.54/45.39 inference(transitivity,[status(thm)],[5925, 5923])).
% 72.54/45.39 tff(5927,plain,
% 72.54/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))),
% 72.54/45.39 inference(quant_inst,[status(thm)],[])).
% 72.54/45.39 tff(5928,plain,
% 72.54/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33))),
% 72.54/45.39 inference(modus_ponens,[status(thm)],[5927, 5926])).
% 72.54/45.39 tff(5929,plain,
% 72.54/45.39 (v110(constB34) | (~v108(constB33))),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5928, 317, 5922])).
% 72.54/45.39 tff(5930,plain,
% 72.54/45.39 (v110(constB34)),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5929, 5919])).
% 72.54/45.39 tff(5931,plain,
% 72.54/45.39 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5932,plain,
% 72.54/45.39 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))),
% 72.54/45.39 inference(quant_inst,[status(thm)],[])).
% 72.54/45.39 tff(5933,plain,
% 72.54/45.39 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34))),
% 72.54/45.39 inference(modus_ponens,[status(thm)],[5932, 5931])).
% 72.54/45.39 tff(5934,plain,
% 72.54/45.39 (~v104(constB34)),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5933, 335, 5922, 5798])).
% 72.54/45.39 tff(5935,plain,
% 72.54/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5936,plain,
% 72.54/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))),
% 72.54/45.39 inference(quant_inst,[status(thm)],[])).
% 72.54/45.39 tff(5937,plain,
% 72.54/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v102(constB34) | v104(constB34)),
% 72.54/45.39 inference(modus_ponens,[status(thm)],[5936, 5935])).
% 72.54/45.39 tff(5938,plain,
% 72.54/45.39 (v102(constB34) | v104(constB34)),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5937, 349, 5922])).
% 72.54/45.39 tff(5939,plain,
% 72.54/45.39 (v102(constB34)),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5938, 5934])).
% 72.54/45.39 tff(5940,plain,
% 72.54/45.39 (v1(constB34) <=> v1(constB34)),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5941,axiom,(v1(constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_34_1')).
% 72.54/45.39 tff(5942,plain,
% 72.54/45.39 (v1(constB34)),
% 72.54/45.39 inference(modus_ponens,[status(thm)],[5941, 5940])).
% 72.54/45.39 tff(5943,plain,
% 72.54/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5944,plain,
% 72.54/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))),
% 72.54/45.39 inference(quant_inst,[status(thm)],[])).
% 72.54/45.39 tff(5945,plain,
% 72.54/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34))),
% 72.54/45.39 inference(modus_ponens,[status(thm)],[5944, 5943])).
% 72.54/45.39 tff(5946,plain,
% 72.54/45.39 (v101(constB34) | (~v102(constB34))),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5945, 367, 5922, 5942])).
% 72.54/45.39 tff(5947,plain,
% 72.54/45.39 (v101(constB34)),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5946, 5939])).
% 72.54/45.39 tff(5948,plain,
% 72.54/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5949,plain,
% 72.54/45.39 (((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34)) <=> ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5950,plain,
% 72.54/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34))))),
% 72.54/45.39 inference(monotonicity,[status(thm)],[5949])).
% 72.54/45.39 tff(5951,plain,
% 72.54/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 72.54/45.39 inference(transitivity,[status(thm)],[5950, 5948])).
% 72.54/45.39 tff(5952,plain,
% 72.54/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))),
% 72.54/45.39 inference(quant_inst,[status(thm)],[])).
% 72.54/45.39 tff(5953,plain,
% 72.54/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34))),
% 72.54/45.39 inference(modus_ponens,[status(thm)],[5952, 5951])).
% 72.54/45.39 tff(5954,plain,
% 72.54/45.39 (v100(constB34) | (~v101(constB34)) | (~v110(constB34))),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5953, 382, 5922])).
% 72.54/45.39 tff(5955,plain,
% 72.54/45.39 (v100(constB34) | (~v110(constB34))),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5954, 5947])).
% 72.54/45.39 tff(5956,plain,
% 72.54/45.39 (v100(constB34)),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5955, 5930])).
% 72.54/45.39 tff(5957,plain,
% 72.54/45.39 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB33)) | v130(constB33, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB33)) | v130(constB33, bitIndex2))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5958,plain,
% 72.54/45.39 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB33)) | v130(constB33, bitIndex2))),
% 72.54/45.39 inference(quant_inst,[status(thm)],[])).
% 72.54/45.39 tff(5959,plain,
% 72.54/45.39 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB33)) | v130(constB33, bitIndex2)),
% 72.54/45.39 inference(modus_ponens,[status(thm)],[5958, 5957])).
% 72.54/45.39 tff(5960,plain,
% 72.54/45.39 (v130(constB33, bitIndex2)),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5959, 1563, 5894])).
% 72.54/45.39 tff(5961,plain,
% 72.54/45.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5962,plain,
% 72.54/45.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2))),
% 72.54/45.39 inference(quant_inst,[status(thm)],[])).
% 72.54/45.39 tff(5963,plain,
% 72.54/45.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2)),
% 72.54/45.39 inference(modus_ponens,[status(thm)],[5962, 5961])).
% 72.54/45.39 tff(5964,plain,
% 72.54/45.39 ((~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2)),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5963, 1304, 5910])).
% 72.54/45.39 tff(5965,plain,
% 72.54/45.39 (v127(constB33, bitIndex2)),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5964, 5960])).
% 72.54/45.39 tff(5966,plain,
% 72.54/45.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5967,plain,
% 72.54/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2))),
% 72.54/45.39 inference(quant_inst,[status(thm)],[])).
% 72.54/45.39 tff(5968,plain,
% 72.54/45.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2)),
% 72.54/45.39 inference(modus_ponens,[status(thm)],[5967, 5966])).
% 72.54/45.39 tff(5969,plain,
% 72.54/45.39 ((~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2)),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5968, 1319, 5922])).
% 72.54/45.39 tff(5970,plain,
% 72.54/45.39 (v129(constB34, bitIndex2)),
% 72.54/45.39 inference(unit_resolution,[status(thm)],[5969, 5965])).
% 72.54/45.39 tff(5971,plain,
% 72.54/45.39 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5972,plain,
% 72.54/45.39 ((v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2))) <=> (v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))),
% 72.54/45.39 inference(rewrite,[status(thm)],[])).
% 72.54/45.39 tff(5973,plain,
% 72.54/45.39 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34))))),
% 72.54/45.39 inference(monotonicity,[status(thm)],[5972])).
% 72.54/45.39 tff(5974,plain,
% 72.54/45.39 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))),
% 72.54/45.39 inference(transitivity,[status(thm)],[5973, 5971])).
% 72.54/45.39 tff(5975,plain,
% 72.54/45.39 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2)))),
% 72.54/45.39 inference(quant_inst,[status(thm)],[])).
% 72.54/45.39 tff(5976,plain,
% 72.54/45.39 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[5975, 5974])).
% 72.54/45.40 tff(5977,plain,
% 72.54/45.40 (v90(constB34, bitIndex2) | (~v100(constB34))),
% 72.54/45.40 inference(unit_resolution,[status(thm)],[5976, 1334, 5970])).
% 72.54/45.40 tff(5978,plain,
% 72.54/45.40 (v90(constB34, bitIndex2)),
% 72.54/45.40 inference(unit_resolution,[status(thm)],[5977, 5956])).
% 72.54/45.40 tff(5979,plain,
% 72.54/45.40 ((~v1(constB35)) <=> (~v1(constB35))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(5980,axiom,(~v1(constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_35_1_1')).
% 72.54/45.40 tff(5981,plain,
% 72.54/45.40 (~v1(constB35)),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[5980, 5979])).
% 72.54/45.40 tff(5982,plain,
% 72.54/45.40 (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(5983,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_34_1')).
% 72.54/45.40 tff(5984,plain,
% 72.54/45.40 (nextState(constB34, constB35)),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[5983, 5982])).
% 72.54/45.40 tff(5985,plain,
% 72.54/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(5986,plain,
% 72.54/45.40 (((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35)) <=> (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(5987,plain,
% 72.54/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35))))),
% 72.54/45.40 inference(monotonicity,[status(thm)],[5986])).
% 72.54/45.40 tff(5988,plain,
% 72.54/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 72.54/45.40 inference(transitivity,[status(thm)],[5987, 5985])).
% 72.54/45.40 tff(5989,plain,
% 72.54/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))),
% 72.54/45.40 inference(quant_inst,[status(thm)],[])).
% 72.54/45.40 tff(5990,plain,
% 72.54/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[5989, 5988])).
% 72.54/45.40 tff(5991,plain,
% 72.54/45.40 (~v101(constB35)),
% 72.54/45.40 inference(unit_resolution,[status(thm)],[5990, 56, 5984, 5981])).
% 72.54/45.40 tff(5992,plain,
% 72.54/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(5993,plain,
% 72.54/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))),
% 72.54/45.40 inference(quant_inst,[status(thm)],[])).
% 72.54/45.40 tff(5994,plain,
% 72.54/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[5993, 5992])).
% 72.54/45.40 tff(5995,plain,
% 72.54/45.40 (v101(constB35) | (~v100(constB35))),
% 72.54/45.40 inference(unit_resolution,[status(thm)],[5994, 73, 5984])).
% 72.54/45.40 tff(5996,plain,
% 72.54/45.40 (~v100(constB35)),
% 72.54/45.40 inference(unit_resolution,[status(thm)],[5995, 5991])).
% 72.54/45.40 tff(5997,plain,
% 72.54/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(5998,plain,
% 72.54/45.40 (((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2)) <=> ((~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(5999,plain,
% 72.54/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2)))),
% 72.54/45.40 inference(monotonicity,[status(thm)],[5998])).
% 72.54/45.40 tff(6000,plain,
% 72.54/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))),
% 72.54/45.40 inference(transitivity,[status(thm)],[5999, 5997])).
% 72.54/45.40 tff(6001,plain,
% 72.54/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2))),
% 72.54/45.40 inference(quant_inst,[status(thm)],[])).
% 72.54/45.40 tff(6002,plain,
% 72.54/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2)),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6001, 6000])).
% 72.54/45.40 tff(6003,plain,
% 72.54/45.40 ((~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2)),
% 72.54/45.40 inference(unit_resolution,[status(thm)],[6002, 1370, 5984])).
% 72.54/45.40 tff(6004,plain,
% 72.54/45.40 ((~v90(constB34, bitIndex2)) | v90(constB35, bitIndex2)),
% 72.54/45.40 inference(unit_resolution,[status(thm)],[6003, 5996])).
% 72.54/45.40 tff(6005,plain,
% 72.54/45.40 (v90(constB35, bitIndex2)),
% 72.54/45.40 inference(unit_resolution,[status(thm)],[6004, 5978])).
% 72.54/45.40 tff(6006,plain,
% 72.54/45.40 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)))),
% 72.54/45.40 inference(bind,[status(th)],[])).
% 72.54/45.40 tff(6007,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 72.54/45.40 inference(quant_intro,[status(thm)],[6006])).
% 72.54/45.40 tff(6008,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6009,plain,
% 72.54/45.40 (^[VarCurr: $i] : rewrite((v88(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex2))) <=> ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)))),
% 72.54/45.40 inference(bind,[status(th)],[])).
% 72.54/45.40 tff(6010,plain,
% 72.54/45.40 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 72.54/45.40 inference(quant_intro,[status(thm)],[6009])).
% 72.54/45.40 tff(6011,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_5')).
% 72.54/45.40 tff(6012,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6011, 6010])).
% 72.54/45.40 tff(6013,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6012, 6008])).
% 72.54/45.40 tff(6014,plain,(
% 72.54/45.40 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 72.54/45.40 inference(skolemize,[status(sab)],[6013])).
% 72.54/45.40 tff(6015,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6014, 6007])).
% 72.54/45.40 tff(6016,plain,
% 72.54/45.40 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB35, bitIndex2)) | v88(constB35, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB35, bitIndex2)) | v88(constB35, bitIndex2))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6017,plain,
% 72.54/45.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB35, bitIndex2)) | v88(constB35, bitIndex2))),
% 72.54/45.40 inference(quant_inst,[status(thm)],[])).
% 72.54/45.40 tff(6018,plain,
% 72.54/45.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB35, bitIndex2)) | v88(constB35, bitIndex2)),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6017, 6016])).
% 72.54/45.40 tff(6019,plain,
% 72.54/45.40 (v88(constB35, bitIndex2)),
% 72.54/45.40 inference(unit_resolution,[status(thm)],[6018, 6015, 6005])).
% 72.54/45.40 tff(6020,plain,
% 72.54/45.40 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr))) <=> ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr))))),
% 72.54/45.40 inference(bind,[status(th)],[])).
% 72.54/45.40 tff(6021,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))),
% 72.54/45.40 inference(quant_intro,[status(thm)],[6020])).
% 72.54/45.40 tff(6022,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6023,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_3')).
% 72.54/45.40 tff(6024,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6023, 6022])).
% 72.54/45.40 tff(6025,plain,(
% 72.54/45.40 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))),
% 72.54/45.40 inference(skolemize,[status(sab)],[6024])).
% 72.54/45.40 tff(6026,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6025, 6021])).
% 72.54/45.40 tff(6027,plain,
% 72.54/45.40 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v140(constB35)) | (~v88(constB35, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB35)) | (~v88(constB35, bitIndex2)))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6028,plain,
% 72.54/45.40 (((~v88(constB35, bitIndex2)) | (~v140(constB35))) <=> ((~v140(constB35)) | (~v88(constB35, bitIndex2)))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6029,plain,
% 72.54/45.40 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB35, bitIndex2)) | (~v140(constB35)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v140(constB35)) | (~v88(constB35, bitIndex2))))),
% 72.54/45.40 inference(monotonicity,[status(thm)],[6028])).
% 72.54/45.40 tff(6030,plain,
% 72.54/45.40 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB35, bitIndex2)) | (~v140(constB35)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB35)) | (~v88(constB35, bitIndex2)))),
% 72.54/45.40 inference(transitivity,[status(thm)],[6029, 6027])).
% 72.54/45.40 tff(6031,plain,
% 72.54/45.40 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB35, bitIndex2)) | (~v140(constB35)))),
% 72.54/45.40 inference(quant_inst,[status(thm)],[])).
% 72.54/45.40 tff(6032,plain,
% 72.54/45.40 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB35)) | (~v88(constB35, bitIndex2))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6031, 6030])).
% 72.54/45.40 tff(6033,plain,
% 72.54/45.40 (~v140(constB35)),
% 72.54/45.40 inference(unit_resolution,[status(thm)],[6032, 6026, 6019])).
% 72.54/45.40 tff(6034,plain,
% 72.54/45.40 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB33)) | v130(constB33, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB33)) | v130(constB33, bitIndex0))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6035,plain,
% 72.54/45.40 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB33)) | v130(constB33, bitIndex0))),
% 72.54/45.40 inference(quant_inst,[status(thm)],[])).
% 72.54/45.40 tff(6036,plain,
% 72.54/45.40 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB33)) | v130(constB33, bitIndex0)),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6035, 6034])).
% 72.54/45.40 tff(6037,plain,
% 72.54/45.40 (v130(constB33, bitIndex0)),
% 72.54/45.40 inference(unit_resolution,[status(thm)],[6036, 1666, 5894])).
% 72.54/45.40 tff(6038,plain,
% 72.54/45.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB33) | (~v130(constB33, bitIndex0)) | v127(constB33, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB33) | (~v130(constB33, bitIndex0)) | v127(constB33, bitIndex0))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6039,plain,
% 72.54/45.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB33) | (~v130(constB33, bitIndex0)) | v127(constB33, bitIndex0))),
% 72.54/45.40 inference(quant_inst,[status(thm)],[])).
% 72.54/45.40 tff(6040,plain,
% 72.54/45.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB33) | (~v130(constB33, bitIndex0)) | v127(constB33, bitIndex0)),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6039, 6038])).
% 72.54/45.40 tff(6041,plain,
% 72.54/45.40 ((~v130(constB33, bitIndex0)) | v127(constB33, bitIndex0)),
% 72.54/45.40 inference(unit_resolution,[status(thm)],[6040, 179, 5910])).
% 72.54/45.40 tff(6042,plain,
% 72.54/45.40 (v127(constB33, bitIndex0)),
% 72.54/45.40 inference(unit_resolution,[status(thm)],[6041, 6037])).
% 72.54/45.40 tff(6043,plain,
% 72.54/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex0)) | v129(constB34, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex0)) | v129(constB34, bitIndex0))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6044,plain,
% 72.54/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex0)) | v129(constB34, bitIndex0))),
% 72.54/45.40 inference(quant_inst,[status(thm)],[])).
% 72.54/45.40 tff(6045,plain,
% 72.54/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex0)) | v129(constB34, bitIndex0)),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6044, 6043])).
% 72.54/45.40 tff(6046,plain,
% 72.54/45.40 ((~v127(constB33, bitIndex0)) | v129(constB34, bitIndex0)),
% 72.54/45.40 inference(unit_resolution,[status(thm)],[6045, 197, 5922])).
% 72.54/45.40 tff(6047,plain,
% 72.54/45.40 (v129(constB34, bitIndex0)),
% 72.54/45.40 inference(unit_resolution,[status(thm)],[6046, 6042])).
% 72.54/45.40 tff(6048,plain,
% 72.54/45.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0)) | (~v100(constB34)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0)) | (~v100(constB34)))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6049,plain,
% 72.54/45.40 ((v90(constB34, bitIndex0) | (~v100(constB34)) | (~v129(constB34, bitIndex0))) <=> (v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0)) | (~v100(constB34)))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6050,plain,
% 72.54/45.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~v100(constB34)) | (~v129(constB34, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0)) | (~v100(constB34))))),
% 72.54/45.40 inference(monotonicity,[status(thm)],[6049])).
% 72.54/45.40 tff(6051,plain,
% 72.54/45.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~v100(constB34)) | (~v129(constB34, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0)) | (~v100(constB34)))),
% 72.54/45.40 inference(transitivity,[status(thm)],[6050, 6048])).
% 72.54/45.40 tff(6052,plain,
% 72.54/45.40 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB34, bitIndex0) | (~v100(constB34)) | (~v129(constB34, bitIndex0)))),
% 72.54/45.40 inference(quant_inst,[status(thm)],[])).
% 72.54/45.40 tff(6053,plain,
% 72.54/45.40 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0)) | (~v100(constB34))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6052, 6051])).
% 72.54/45.40 tff(6054,plain,
% 72.54/45.40 (v90(constB34, bitIndex0) | (~v100(constB34))),
% 72.54/45.40 inference(unit_resolution,[status(thm)],[6053, 401, 6047])).
% 72.54/45.40 tff(6055,plain,
% 72.54/45.40 (v90(constB34, bitIndex0)),
% 72.54/45.40 inference(unit_resolution,[status(thm)],[6054, 5956])).
% 72.54/45.40 tff(6056,plain,
% 72.54/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex0))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6057,plain,
% 72.54/45.40 (((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex0)) | v100(constB35) | v90(constB35, bitIndex0)) <=> ((~v90(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex0))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6058,plain,
% 72.54/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex0)) | v100(constB35) | v90(constB35, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex0)))),
% 72.54/45.40 inference(monotonicity,[status(thm)],[6057])).
% 72.54/45.40 tff(6059,plain,
% 72.54/45.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex0)) | v100(constB35) | v90(constB35, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex0))),
% 72.54/45.40 inference(transitivity,[status(thm)],[6058, 6056])).
% 72.54/45.40 tff(6060,plain,
% 72.54/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex0)) | v100(constB35) | v90(constB35, bitIndex0))),
% 72.54/45.40 inference(quant_inst,[status(thm)],[])).
% 72.54/45.40 tff(6061,plain,
% 72.54/45.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex0)),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6060, 6059])).
% 72.54/45.40 tff(6062,plain,
% 72.54/45.40 ((~v90(constB34, bitIndex0)) | v100(constB35) | v90(constB35, bitIndex0)),
% 72.54/45.40 inference(unit_resolution,[status(thm)],[6061, 437, 5984])).
% 72.54/45.40 tff(6063,plain,
% 72.54/45.40 ((~v90(constB34, bitIndex0)) | v90(constB35, bitIndex0)),
% 72.54/45.40 inference(unit_resolution,[status(thm)],[6062, 5996])).
% 72.54/45.40 tff(6064,plain,
% 72.54/45.40 (v90(constB35, bitIndex0)),
% 72.54/45.40 inference(unit_resolution,[status(thm)],[6063, 6055])).
% 72.54/45.40 tff(6065,plain,
% 72.54/45.40 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)))),
% 72.54/45.40 inference(bind,[status(th)],[])).
% 72.54/45.40 tff(6066,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 72.54/45.40 inference(quant_intro,[status(thm)],[6065])).
% 72.54/45.40 tff(6067,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6068,plain,
% 72.54/45.40 (^[VarCurr: $i] : rewrite((v88(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)))),
% 72.54/45.40 inference(bind,[status(th)],[])).
% 72.54/45.40 tff(6069,plain,
% 72.54/45.40 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 72.54/45.40 inference(quant_intro,[status(thm)],[6068])).
% 72.54/45.40 tff(6070,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_1')).
% 72.54/45.40 tff(6071,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6070, 6069])).
% 72.54/45.40 tff(6072,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6071, 6067])).
% 72.54/45.40 tff(6073,plain,(
% 72.54/45.40 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 72.54/45.40 inference(skolemize,[status(sab)],[6072])).
% 72.54/45.40 tff(6074,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6073, 6066])).
% 72.54/45.40 tff(6075,plain,
% 72.54/45.40 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB35, bitIndex0)) | v88(constB35, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB35, bitIndex0)) | v88(constB35, bitIndex0))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6076,plain,
% 72.54/45.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB35, bitIndex0)) | v88(constB35, bitIndex0))),
% 72.54/45.40 inference(quant_inst,[status(thm)],[])).
% 72.54/45.40 tff(6077,plain,
% 72.54/45.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB35, bitIndex0)) | v88(constB35, bitIndex0)),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6076, 6075])).
% 72.54/45.40 tff(6078,plain,
% 72.54/45.40 (v88(constB35, bitIndex0)),
% 72.54/45.40 inference(unit_resolution,[status(thm)],[6077, 6074, 6064])).
% 72.54/45.40 tff(6079,plain,
% 72.54/45.40 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr))) <=> ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr))))),
% 72.54/45.40 inference(bind,[status(th)],[])).
% 72.54/45.40 tff(6080,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))),
% 72.54/45.40 inference(quant_intro,[status(thm)],[6079])).
% 72.54/45.40 tff(6081,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6082,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_4')).
% 72.54/45.40 tff(6083,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6082, 6081])).
% 72.54/45.40 tff(6084,plain,(
% 72.54/45.40 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))),
% 72.54/45.40 inference(skolemize,[status(sab)],[6083])).
% 72.54/45.40 tff(6085,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6084, 6080])).
% 72.54/45.40 tff(6086,plain,
% 72.54/45.40 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB35)) | (~v88(constB35, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB35)) | (~v88(constB35, bitIndex0)))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6087,plain,
% 72.54/45.40 (((~v88(constB35, bitIndex0)) | (~v139(constB35))) <=> ((~v139(constB35)) | (~v88(constB35, bitIndex0)))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6088,plain,
% 72.54/45.40 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB35, bitIndex0)) | (~v139(constB35)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB35)) | (~v88(constB35, bitIndex0))))),
% 72.54/45.40 inference(monotonicity,[status(thm)],[6087])).
% 72.54/45.40 tff(6089,plain,
% 72.54/45.40 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB35, bitIndex0)) | (~v139(constB35)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB35)) | (~v88(constB35, bitIndex0)))),
% 72.54/45.40 inference(transitivity,[status(thm)],[6088, 6086])).
% 72.54/45.40 tff(6090,plain,
% 72.54/45.40 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB35, bitIndex0)) | (~v139(constB35)))),
% 72.54/45.40 inference(quant_inst,[status(thm)],[])).
% 72.54/45.40 tff(6091,plain,
% 72.54/45.40 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB35)) | (~v88(constB35, bitIndex0))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6090, 6089])).
% 72.54/45.40 tff(6092,plain,
% 72.54/45.40 (~v139(constB35)),
% 72.54/45.40 inference(unit_resolution,[status(thm)],[6091, 6085, 6078])).
% 72.54/45.40 tff(6093,plain,
% 72.54/45.40 (^[VarCurr: $i] : refl((v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr))) <=> (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr))))),
% 72.54/45.40 inference(bind,[status(th)],[])).
% 72.54/45.40 tff(6094,plain,
% 72.54/45.40 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))),
% 72.54/45.40 inference(quant_intro,[status(thm)],[6093])).
% 72.54/45.40 tff(6095,plain,
% 72.54/45.40 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6096,plain,
% 72.54/45.40 (^[VarCurr: $i] : trans(monotonicity(rewrite((v140(VarCurr) | v139(VarCurr)) <=> (v140(VarCurr) | v139(VarCurr))), (((v140(VarCurr) | v139(VarCurr)) | (~v200(VarCurr))) <=> ((v140(VarCurr) | v139(VarCurr)) | (~v200(VarCurr))))), rewrite(((v140(VarCurr) | v139(VarCurr)) | (~v200(VarCurr))) <=> (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))), (((v140(VarCurr) | v139(VarCurr)) | (~v200(VarCurr))) <=> (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))))),
% 72.54/45.40 inference(bind,[status(th)],[])).
% 72.54/45.40 tff(6097,plain,
% 72.54/45.40 (![VarCurr: $i] : ((v140(VarCurr) | v139(VarCurr)) | (~v200(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))),
% 72.54/45.40 inference(quant_intro,[status(thm)],[6096])).
% 72.54/45.40 tff(6098,axiom,(![VarCurr: $i] : ((v140(VarCurr) | v139(VarCurr)) | (~v200(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48_1_3')).
% 72.54/45.40 tff(6099,plain,
% 72.54/45.40 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6098, 6097])).
% 72.54/45.40 tff(6100,plain,
% 72.54/45.40 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6099, 6095])).
% 72.54/45.40 tff(6101,plain,(
% 72.54/45.40 ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))),
% 72.54/45.40 inference(skolemize,[status(sab)],[6100])).
% 72.54/45.40 tff(6102,plain,
% 72.54/45.40 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6101, 6094])).
% 72.54/45.40 tff(6103,plain,
% 72.54/45.40 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | ((~v200(constB35)) | v140(constB35) | v139(constB35))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (~v200(constB35)) | v140(constB35) | v139(constB35))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6104,plain,
% 72.54/45.40 ((v140(constB35) | v139(constB35) | (~v200(constB35))) <=> ((~v200(constB35)) | v140(constB35) | v139(constB35))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6105,plain,
% 72.54/45.40 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB35) | v139(constB35) | (~v200(constB35)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | ((~v200(constB35)) | v140(constB35) | v139(constB35)))),
% 72.54/45.40 inference(monotonicity,[status(thm)],[6104])).
% 72.54/45.40 tff(6106,plain,
% 72.54/45.40 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB35) | v139(constB35) | (~v200(constB35)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (~v200(constB35)) | v140(constB35) | v139(constB35))),
% 72.54/45.40 inference(transitivity,[status(thm)],[6105, 6103])).
% 72.54/45.40 tff(6107,plain,
% 72.54/45.40 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB35) | v139(constB35) | (~v200(constB35)))),
% 72.54/45.40 inference(quant_inst,[status(thm)],[])).
% 72.54/45.40 tff(6108,plain,
% 72.54/45.40 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (~v200(constB35)) | v140(constB35) | v139(constB35)),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6107, 6106])).
% 72.54/45.40 tff(6109,plain,
% 72.54/45.40 (~v200(constB35)),
% 72.54/45.40 inference(unit_resolution,[status(thm)],[6108, 6102, 6092, 6033])).
% 72.54/45.40 tff(6110,plain,
% 72.54/45.40 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr))) <=> ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr))))),
% 72.54/45.40 inference(bind,[status(th)],[])).
% 72.54/45.40 tff(6111,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))),
% 72.54/45.40 inference(quant_intro,[status(thm)],[6110])).
% 72.54/45.40 tff(6112,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6113,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_1_4')).
% 72.54/45.40 tff(6114,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6113, 6112])).
% 72.54/45.40 tff(6115,plain,(
% 72.54/45.40 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))),
% 72.54/45.40 inference(skolemize,[status(sab)],[6114])).
% 72.54/45.40 tff(6116,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6115, 6111])).
% 72.54/45.40 tff(6117,plain,
% 72.54/45.40 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB35)) | (~v88(constB35, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB35)) | (~v88(constB35, bitIndex2)))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6118,plain,
% 72.54/45.40 (((~v88(constB35, bitIndex2)) | (~v141(constB35))) <=> ((~v141(constB35)) | (~v88(constB35, bitIndex2)))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6119,plain,
% 72.54/45.40 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB35, bitIndex2)) | (~v141(constB35)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB35)) | (~v88(constB35, bitIndex2))))),
% 72.54/45.40 inference(monotonicity,[status(thm)],[6118])).
% 72.54/45.40 tff(6120,plain,
% 72.54/45.40 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB35, bitIndex2)) | (~v141(constB35)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB35)) | (~v88(constB35, bitIndex2)))),
% 72.54/45.40 inference(transitivity,[status(thm)],[6119, 6117])).
% 72.54/45.40 tff(6121,plain,
% 72.54/45.40 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB35, bitIndex2)) | (~v141(constB35)))),
% 72.54/45.40 inference(quant_inst,[status(thm)],[])).
% 72.54/45.40 tff(6122,plain,
% 72.54/45.40 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB35)) | (~v88(constB35, bitIndex2))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6121, 6120])).
% 72.54/45.40 tff(6123,plain,
% 72.54/45.40 (~v141(constB35)),
% 72.54/45.40 inference(unit_resolution,[status(thm)],[6122, 6116, 6019])).
% 72.54/45.40 tff(6124,plain,
% 72.54/45.40 (^[VarCurr: $i] : refl((v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr))) <=> (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr))))),
% 72.54/45.40 inference(bind,[status(th)],[])).
% 72.54/45.40 tff(6125,plain,
% 72.54/45.40 (![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))),
% 72.54/45.40 inference(quant_intro,[status(thm)],[6124])).
% 72.54/45.40 tff(6126,plain,
% 72.54/45.40 (![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6127,plain,
% 72.54/45.40 (^[VarCurr: $i] : trans(monotonicity(rewrite((v200(VarCurr) | v141(VarCurr)) <=> (v141(VarCurr) | v200(VarCurr))), (((v200(VarCurr) | v141(VarCurr)) | (~v199(VarCurr))) <=> ((v141(VarCurr) | v200(VarCurr)) | (~v199(VarCurr))))), rewrite(((v141(VarCurr) | v200(VarCurr)) | (~v199(VarCurr))) <=> (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))), (((v200(VarCurr) | v141(VarCurr)) | (~v199(VarCurr))) <=> (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))))),
% 72.54/45.40 inference(bind,[status(th)],[])).
% 72.54/45.40 tff(6128,plain,
% 72.54/45.40 (![VarCurr: $i] : ((v200(VarCurr) | v141(VarCurr)) | (~v199(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))),
% 72.54/45.40 inference(quant_intro,[status(thm)],[6127])).
% 72.54/45.40 tff(6129,axiom,(![VarCurr: $i] : ((v200(VarCurr) | v141(VarCurr)) | (~v199(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_49_1_1_3')).
% 72.54/45.40 tff(6130,plain,
% 72.54/45.40 (![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6129, 6128])).
% 72.54/45.40 tff(6131,plain,
% 72.54/45.40 (![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6130, 6126])).
% 72.54/45.40 tff(6132,plain,(
% 72.54/45.40 ![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))),
% 72.54/45.40 inference(skolemize,[status(sab)],[6131])).
% 72.54/45.40 tff(6133,plain,
% 72.54/45.40 (![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6132, 6125])).
% 72.54/45.40 tff(6134,plain,
% 72.54/45.40 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB35) | v200(constB35) | (~v199(constB35)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB35) | v200(constB35) | (~v199(constB35)))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6135,plain,
% 72.54/45.40 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB35) | v200(constB35) | (~v199(constB35)))),
% 72.54/45.40 inference(quant_inst,[status(thm)],[])).
% 72.54/45.40 tff(6136,plain,
% 72.54/45.40 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB35) | v200(constB35) | (~v199(constB35))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6135, 6134])).
% 72.54/45.40 tff(6137,plain,
% 72.54/45.40 (~v199(constB35)),
% 72.54/45.40 inference(unit_resolution,[status(thm)],[6136, 6133, 6123, 6109])).
% 72.54/45.40 tff(6138,plain,
% 72.54/45.40 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr))) <=> ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr))))),
% 72.54/45.40 inference(bind,[status(th)],[])).
% 72.54/45.40 tff(6139,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))),
% 72.54/45.40 inference(quant_intro,[status(thm)],[6138])).
% 72.54/45.40 tff(6140,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6141,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_12_1_1_4')).
% 72.54/45.40 tff(6142,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6141, 6140])).
% 72.54/45.40 tff(6143,plain,(
% 72.54/45.40 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))),
% 72.54/45.40 inference(skolemize,[status(sab)],[6142])).
% 72.54/45.40 tff(6144,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6143, 6139])).
% 72.54/45.40 tff(6145,plain,
% 72.54/45.40 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v143(constB35)) | (~v88(constB35, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v143(constB35)) | (~v88(constB35, bitIndex0)))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6146,plain,
% 72.54/45.40 (((~v88(constB35, bitIndex0)) | (~v143(constB35))) <=> ((~v143(constB35)) | (~v88(constB35, bitIndex0)))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6147,plain,
% 72.54/45.40 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB35, bitIndex0)) | (~v143(constB35)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v143(constB35)) | (~v88(constB35, bitIndex0))))),
% 72.54/45.40 inference(monotonicity,[status(thm)],[6146])).
% 72.54/45.40 tff(6148,plain,
% 72.54/45.40 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB35, bitIndex0)) | (~v143(constB35)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v143(constB35)) | (~v88(constB35, bitIndex0)))),
% 72.54/45.40 inference(transitivity,[status(thm)],[6147, 6145])).
% 72.54/45.40 tff(6149,plain,
% 72.54/45.40 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB35, bitIndex0)) | (~v143(constB35)))),
% 72.54/45.40 inference(quant_inst,[status(thm)],[])).
% 72.54/45.40 tff(6150,plain,
% 72.54/45.40 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v143(constB35)) | (~v88(constB35, bitIndex0))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6149, 6148])).
% 72.54/45.40 tff(6151,plain,
% 72.54/45.40 (~v143(constB35)),
% 72.54/45.40 inference(unit_resolution,[status(thm)],[6150, 6144, 6078])).
% 72.54/45.40 tff(6152,plain,
% 72.54/45.40 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr))) <=> ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr))))),
% 72.54/45.40 inference(bind,[status(th)],[])).
% 72.54/45.40 tff(6153,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))),
% 72.54/45.40 inference(quant_intro,[status(thm)],[6152])).
% 72.54/45.40 tff(6154,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6155,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_13_1_1_4')).
% 72.54/45.40 tff(6156,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6155, 6154])).
% 72.54/45.40 tff(6157,plain,(
% 72.54/45.40 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))),
% 72.54/45.40 inference(skolemize,[status(sab)],[6156])).
% 72.54/45.40 tff(6158,plain,
% 72.54/45.40 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))),
% 72.54/45.40 inference(modus_ponens,[status(thm)],[6157, 6153])).
% 72.54/45.40 tff(6159,plain,
% 72.54/45.40 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v144(constB35)) | (~v88(constB35, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v144(constB35)) | (~v88(constB35, bitIndex0)))),
% 72.54/45.40 inference(rewrite,[status(thm)],[])).
% 72.54/45.40 tff(6160,plain,
% 72.54/45.40 (((~v88(constB35, bitIndex0)) | (~v144(constB35))) <=> ((~v144(constB35)) | (~v88(constB35, bitIndex0)))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6161,plain,
% 72.54/45.41 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB35, bitIndex0)) | (~v144(constB35)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v144(constB35)) | (~v88(constB35, bitIndex0))))),
% 72.54/45.41 inference(monotonicity,[status(thm)],[6160])).
% 72.54/45.41 tff(6162,plain,
% 72.54/45.41 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB35, bitIndex0)) | (~v144(constB35)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v144(constB35)) | (~v88(constB35, bitIndex0)))),
% 72.54/45.41 inference(transitivity,[status(thm)],[6161, 6159])).
% 72.54/45.41 tff(6163,plain,
% 72.54/45.41 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB35, bitIndex0)) | (~v144(constB35)))),
% 72.54/45.41 inference(quant_inst,[status(thm)],[])).
% 72.54/45.41 tff(6164,plain,
% 72.54/45.41 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v144(constB35)) | (~v88(constB35, bitIndex0))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6163, 6162])).
% 72.54/45.41 tff(6165,plain,
% 72.54/45.41 (~v144(constB35)),
% 72.54/45.41 inference(unit_resolution,[status(thm)],[6164, 6158, 6078])).
% 72.54/45.41 tff(6166,plain,
% 72.54/45.41 (^[VarCurr: $i] : refl((v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr))) <=> (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr))))),
% 72.54/45.41 inference(bind,[status(th)],[])).
% 72.54/45.41 tff(6167,plain,
% 72.54/45.41 (![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 72.54/45.41 inference(quant_intro,[status(thm)],[6166])).
% 72.54/45.41 tff(6168,plain,
% 72.54/45.41 (![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6169,plain,
% 72.54/45.41 (^[VarCurr: $i] : trans(monotonicity(rewrite((v144(VarCurr) | v143(VarCurr)) <=> (v143(VarCurr) | v144(VarCurr))), (((v144(VarCurr) | v143(VarCurr)) | (~v142(VarCurr))) <=> ((v143(VarCurr) | v144(VarCurr)) | (~v142(VarCurr))))), rewrite(((v143(VarCurr) | v144(VarCurr)) | (~v142(VarCurr))) <=> (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))), (((v144(VarCurr) | v143(VarCurr)) | (~v142(VarCurr))) <=> (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))))),
% 72.54/45.41 inference(bind,[status(th)],[])).
% 72.54/45.41 tff(6170,plain,
% 72.54/45.41 (![VarCurr: $i] : ((v144(VarCurr) | v143(VarCurr)) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 72.54/45.41 inference(quant_intro,[status(thm)],[6169])).
% 72.54/45.41 tff(6171,axiom,(![VarCurr: $i] : ((v144(VarCurr) | v143(VarCurr)) | (~v142(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_3')).
% 72.54/45.41 tff(6172,plain,
% 72.54/45.41 (![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6171, 6170])).
% 72.54/45.41 tff(6173,plain,
% 72.54/45.41 (![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6172, 6168])).
% 72.54/45.41 tff(6174,plain,(
% 72.54/45.41 ![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 72.54/45.41 inference(skolemize,[status(sab)],[6173])).
% 72.54/45.41 tff(6175,plain,
% 72.54/45.41 (![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6174, 6167])).
% 72.54/45.41 tff(6176,plain,
% 72.54/45.41 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB35) | v144(constB35) | (~v142(constB35)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB35) | v144(constB35) | (~v142(constB35)))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6177,plain,
% 72.54/45.41 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB35) | v144(constB35) | (~v142(constB35)))),
% 72.54/45.41 inference(quant_inst,[status(thm)],[])).
% 72.54/45.41 tff(6178,plain,
% 72.54/45.41 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB35) | v144(constB35) | (~v142(constB35))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6177, 6176])).
% 72.54/45.41 tff(6179,plain,
% 72.54/45.41 (~v142(constB35)),
% 72.54/45.41 inference(unit_resolution,[status(thm)],[6178, 6175, 6165, 6151])).
% 72.54/45.41 tff(6180,plain,
% 72.54/45.41 (^[VarCurr: $i] : refl((v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr))) <=> (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr))))),
% 72.54/45.41 inference(bind,[status(th)],[])).
% 72.54/45.41 tff(6181,plain,
% 72.54/45.41 (![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))),
% 72.54/45.41 inference(quant_intro,[status(thm)],[6180])).
% 72.54/45.41 tff(6182,plain,
% 72.54/45.41 (![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6183,plain,
% 72.54/45.41 (^[VarCurr: $i] : trans(monotonicity(rewrite(((~v183(VarCurr)) | v199(VarCurr)) <=> (v199(VarCurr) | (~v183(VarCurr)))), ((((~v183(VarCurr)) | v199(VarCurr)) | v142(VarCurr)) <=> ((v199(VarCurr) | (~v183(VarCurr))) | v142(VarCurr)))), rewrite(((v199(VarCurr) | (~v183(VarCurr))) | v142(VarCurr)) <=> (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))), ((((~v183(VarCurr)) | v199(VarCurr)) | v142(VarCurr)) <=> (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))))),
% 72.54/45.41 inference(bind,[status(th)],[])).
% 72.54/45.41 tff(6184,plain,
% 72.54/45.41 (![VarCurr: $i] : (((~v183(VarCurr)) | v199(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))),
% 72.54/45.41 inference(quant_intro,[status(thm)],[6183])).
% 72.54/45.41 tff(6185,axiom,(![VarCurr: $i] : (((~v183(VarCurr)) | v199(VarCurr)) | v142(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_3_1_1_1')).
% 72.54/45.41 tff(6186,plain,
% 72.54/45.41 (![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6185, 6184])).
% 72.54/45.41 tff(6187,plain,
% 72.54/45.41 (![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6186, 6182])).
% 72.54/45.41 tff(6188,plain,(
% 72.54/45.41 ![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))),
% 72.54/45.41 inference(skolemize,[status(sab)],[6187])).
% 72.54/45.41 tff(6189,plain,
% 72.54/45.41 (![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6188, 6181])).
% 72.54/45.41 tff(6190,plain,
% 72.54/45.41 (((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB35) | v199(constB35) | (~v183(constB35)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB35) | v199(constB35) | (~v183(constB35)))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6191,plain,
% 72.54/45.41 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB35) | v199(constB35) | (~v183(constB35)))),
% 72.54/45.41 inference(quant_inst,[status(thm)],[])).
% 72.54/45.41 tff(6192,plain,
% 72.54/45.41 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB35) | v199(constB35) | (~v183(constB35))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6191, 6190])).
% 72.54/45.41 tff(6193,plain,
% 72.54/45.41 (~v183(constB35)),
% 72.54/45.41 inference(unit_resolution,[status(thm)],[6192, 6189, 6179, 6137])).
% 72.54/45.41 tff(6194,plain,
% 72.54/45.41 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB33)) | (~v130(constB33, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB33)) | (~v130(constB33, bitIndex1)))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6195,plain,
% 72.54/45.41 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB33)) | (~v130(constB33, bitIndex1)))),
% 72.54/45.41 inference(quant_inst,[status(thm)],[])).
% 72.54/45.41 tff(6196,plain,
% 72.54/45.41 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB33)) | (~v130(constB33, bitIndex1))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6195, 6194])).
% 72.54/45.41 tff(6197,plain,
% 72.54/45.41 (~v130(constB33, bitIndex1)),
% 72.54/45.41 inference(unit_resolution,[status(thm)],[6196, 1622, 5894])).
% 72.54/45.41 tff(6198,plain,
% 72.54/45.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6199,plain,
% 72.54/45.41 ((v26(constB33) | v130(constB33, bitIndex1) | (~v127(constB33, bitIndex1))) <=> ((~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6200,plain,
% 72.54/45.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB33) | v130(constB33, bitIndex1) | (~v127(constB33, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1)))),
% 72.54/45.41 inference(monotonicity,[status(thm)],[6199])).
% 72.54/45.41 tff(6201,plain,
% 72.54/45.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB33) | v130(constB33, bitIndex1) | (~v127(constB33, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1))),
% 72.54/45.41 inference(transitivity,[status(thm)],[6200, 6198])).
% 72.54/45.41 tff(6202,plain,
% 72.54/45.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB33) | v130(constB33, bitIndex1) | (~v127(constB33, bitIndex1)))),
% 72.54/45.41 inference(quant_inst,[status(thm)],[])).
% 72.54/45.41 tff(6203,plain,
% 72.54/45.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB33, bitIndex1)) | v26(constB33) | v130(constB33, bitIndex1)),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6202, 6201])).
% 72.54/45.41 tff(6204,plain,
% 72.54/45.41 ((~v127(constB33, bitIndex1)) | v130(constB33, bitIndex1)),
% 72.54/45.41 inference(unit_resolution,[status(thm)],[6203, 555, 5910])).
% 72.54/45.41 tff(6205,plain,
% 72.54/45.41 (~v127(constB33, bitIndex1)),
% 72.54/45.41 inference(unit_resolution,[status(thm)],[6204, 6197])).
% 72.54/45.41 tff(6206,plain,
% 72.54/45.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB33, constB34)) | v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB33, constB34)) | v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1)))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6207,plain,
% 72.54/45.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB33, constB34)) | v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1)))),
% 72.54/45.41 inference(quant_inst,[status(thm)],[])).
% 72.54/45.41 tff(6208,plain,
% 72.54/45.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB33, constB34)) | v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6207, 6206])).
% 72.54/45.41 tff(6209,plain,
% 72.54/45.41 (v127(constB33, bitIndex1) | (~v129(constB34, bitIndex1))),
% 72.54/45.41 inference(unit_resolution,[status(thm)],[6208, 588, 5922])).
% 72.54/45.41 tff(6210,plain,
% 72.54/45.41 (~v129(constB34, bitIndex1)),
% 72.54/45.41 inference(unit_resolution,[status(thm)],[6209, 6205])).
% 72.54/45.41 tff(6211,plain,
% 72.54/45.41 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34)))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6212,plain,
% 72.54/45.41 (((~v90(constB34, bitIndex1)) | (~v100(constB34)) | v129(constB34, bitIndex1)) <=> ((~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34)))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6213,plain,
% 72.54/45.41 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | (~v100(constB34)) | v129(constB34, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34))))),
% 72.54/45.41 inference(monotonicity,[status(thm)],[6212])).
% 72.54/45.41 tff(6214,plain,
% 72.54/45.41 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | (~v100(constB34)) | v129(constB34, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34)))),
% 72.54/45.41 inference(transitivity,[status(thm)],[6213, 6211])).
% 72.54/45.41 tff(6215,plain,
% 72.54/45.41 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB34, bitIndex1)) | (~v100(constB34)) | v129(constB34, bitIndex1))),
% 72.54/45.41 inference(quant_inst,[status(thm)],[])).
% 72.54/45.41 tff(6216,plain,
% 72.54/45.41 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1) | (~v100(constB34))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6215, 6214])).
% 72.54/45.41 tff(6217,plain,
% 72.54/45.41 ((~v90(constB34, bitIndex1)) | (~v100(constB34))),
% 72.54/45.41 inference(unit_resolution,[status(thm)],[6216, 603, 6210])).
% 72.54/45.41 tff(6218,plain,
% 72.54/45.41 (~v90(constB34, bitIndex1)),
% 72.54/45.41 inference(unit_resolution,[status(thm)],[6217, 5956])).
% 72.54/45.41 tff(6219,plain,
% 72.54/45.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1)))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6220,plain,
% 72.54/45.41 (((~nextState(constB34, constB35)) | v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1))) <=> (v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1)))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6221,plain,
% 72.54/45.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1))))),
% 72.54/45.41 inference(monotonicity,[status(thm)],[6220])).
% 72.54/45.41 tff(6222,plain,
% 72.54/45.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1)))),
% 72.54/45.41 inference(transitivity,[status(thm)],[6221, 6219])).
% 72.54/45.41 tff(6223,plain,
% 72.54/45.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB34, constB35)) | v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1)))),
% 72.54/45.41 inference(quant_inst,[status(thm)],[])).
% 72.54/45.41 tff(6224,plain,
% 72.54/45.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex1))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6223, 6222])).
% 72.54/45.41 tff(6225,plain,
% 72.54/45.41 (v90(constB34, bitIndex1) | v100(constB35) | (~v90(constB35, bitIndex1))),
% 72.54/45.41 inference(unit_resolution,[status(thm)],[6224, 109, 5984])).
% 72.54/45.41 tff(6226,plain,
% 72.54/45.41 (v90(constB34, bitIndex1) | (~v90(constB35, bitIndex1))),
% 72.54/45.41 inference(unit_resolution,[status(thm)],[6225, 5996])).
% 72.54/45.41 tff(6227,plain,
% 72.54/45.41 (~v90(constB35, bitIndex1)),
% 72.54/45.41 inference(unit_resolution,[status(thm)],[6226, 6218])).
% 72.54/45.41 tff(6228,plain,
% 72.54/45.41 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1))) <=> (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1))))),
% 72.54/45.41 inference(bind,[status(th)],[])).
% 72.54/45.41 tff(6229,plain,
% 72.54/45.41 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 72.54/45.41 inference(quant_intro,[status(thm)],[6228])).
% 72.54/45.41 tff(6230,plain,
% 72.54/45.41 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6231,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_4')).
% 72.54/45.41 tff(6232,plain,
% 72.54/45.41 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6231, 6230])).
% 72.54/45.41 tff(6233,plain,(
% 72.54/45.41 ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 72.54/45.41 inference(skolemize,[status(sab)],[6232])).
% 72.54/45.41 tff(6234,plain,
% 72.54/45.41 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6233, 6229])).
% 72.54/45.41 tff(6235,plain,
% 72.54/45.41 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB35, bitIndex1) | (~v88(constB35, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB35, bitIndex1) | (~v88(constB35, bitIndex1)))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6236,plain,
% 72.54/45.41 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB35, bitIndex1) | (~v88(constB35, bitIndex1)))),
% 72.54/45.41 inference(quant_inst,[status(thm)],[])).
% 72.54/45.41 tff(6237,plain,
% 72.54/45.41 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB35, bitIndex1) | (~v88(constB35, bitIndex1))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6236, 6235])).
% 72.54/45.41 tff(6238,plain,
% 72.54/45.41 (~v88(constB35, bitIndex1)),
% 72.54/45.41 inference(unit_resolution,[status(thm)],[6237, 6234, 6227])).
% 72.54/45.41 tff(6239,plain,
% 72.54/45.41 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr)))),
% 72.54/45.41 inference(bind,[status(th)],[])).
% 72.54/45.41 tff(6240,plain,
% 72.54/45.41 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))),
% 72.54/45.41 inference(quant_intro,[status(thm)],[6239])).
% 72.54/45.41 tff(6241,plain,
% 72.54/45.41 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6242,plain,
% 72.54/45.41 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v147(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex0))) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))), ((((v147(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex1)) <=> (((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr)) | v88(VarCurr, bitIndex1)))), rewrite((((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr)) | v88(VarCurr, bitIndex1)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))), ((((v147(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex1)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))))),
% 72.54/45.41 inference(bind,[status(th)],[])).
% 72.54/45.41 tff(6243,plain,
% 72.54/45.41 (![VarCurr: $i] : (((v147(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))),
% 72.54/45.41 inference(quant_intro,[status(thm)],[6242])).
% 72.54/45.41 tff(6244,axiom,(![VarCurr: $i] : (((v147(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_15_1_1_1')).
% 72.54/45.41 tff(6245,plain,
% 72.54/45.41 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6244, 6243])).
% 72.54/45.41 tff(6246,plain,
% 72.54/45.41 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6245, 6241])).
% 72.54/45.41 tff(6247,plain,(
% 72.54/45.41 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))),
% 72.54/45.41 inference(skolemize,[status(sab)],[6246])).
% 72.54/45.41 tff(6248,plain,
% 72.54/45.41 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6247, 6240])).
% 72.54/45.41 tff(6249,plain,
% 72.54/45.41 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB35, bitIndex2)) | v147(constB35) | v88(constB35, bitIndex1) | (~v88(constB35, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB35, bitIndex2)) | v147(constB35) | v88(constB35, bitIndex1) | (~v88(constB35, bitIndex0)))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6250,plain,
% 72.54/45.41 (((~v88(constB35, bitIndex2)) | v88(constB35, bitIndex1) | (~v88(constB35, bitIndex0)) | v147(constB35)) <=> ((~v88(constB35, bitIndex2)) | v147(constB35) | v88(constB35, bitIndex1) | (~v88(constB35, bitIndex0)))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6251,plain,
% 72.54/45.41 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB35, bitIndex2)) | v88(constB35, bitIndex1) | (~v88(constB35, bitIndex0)) | v147(constB35))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB35, bitIndex2)) | v147(constB35) | v88(constB35, bitIndex1) | (~v88(constB35, bitIndex0))))),
% 72.54/45.41 inference(monotonicity,[status(thm)],[6250])).
% 72.54/45.41 tff(6252,plain,
% 72.54/45.41 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB35, bitIndex2)) | v88(constB35, bitIndex1) | (~v88(constB35, bitIndex0)) | v147(constB35))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB35, bitIndex2)) | v147(constB35) | v88(constB35, bitIndex1) | (~v88(constB35, bitIndex0)))),
% 72.54/45.41 inference(transitivity,[status(thm)],[6251, 6249])).
% 72.54/45.41 tff(6253,plain,
% 72.54/45.41 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB35, bitIndex2)) | v88(constB35, bitIndex1) | (~v88(constB35, bitIndex0)) | v147(constB35))),
% 72.54/45.41 inference(quant_inst,[status(thm)],[])).
% 72.54/45.41 tff(6254,plain,
% 72.54/45.41 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB35, bitIndex2)) | v147(constB35) | v88(constB35, bitIndex1) | (~v88(constB35, bitIndex0))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6253, 6252])).
% 72.54/45.41 tff(6255,plain,
% 72.54/45.41 (v147(constB35)),
% 72.54/45.41 inference(unit_resolution,[status(thm)],[6254, 6248, 6078, 6019, 6238])).
% 72.54/45.41 tff(6256,plain,
% 72.54/45.41 (^[VarCurr: $i] : refl((v145(VarCurr) | (~v147(VarCurr))) <=> (v145(VarCurr) | (~v147(VarCurr))))),
% 72.54/45.41 inference(bind,[status(th)],[])).
% 72.54/45.41 tff(6257,plain,
% 72.54/45.41 (![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr))) <=> ![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))),
% 72.54/45.41 inference(quant_intro,[status(thm)],[6256])).
% 72.54/45.41 tff(6258,plain,
% 72.54/45.41 (![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr))) <=> ![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6259,axiom,(![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_32_1_1')).
% 72.54/45.41 tff(6260,plain,
% 72.54/45.41 (![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6259, 6258])).
% 72.54/45.41 tff(6261,plain,(
% 72.54/45.41 ![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))),
% 72.54/45.41 inference(skolemize,[status(sab)],[6260])).
% 72.54/45.41 tff(6262,plain,
% 72.54/45.41 (![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6261, 6257])).
% 72.54/45.41 tff(6263,plain,
% 72.54/45.41 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB35) | (~v147(constB35)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB35) | (~v147(constB35)))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6264,plain,
% 72.54/45.41 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB35) | (~v147(constB35)))),
% 72.54/45.41 inference(quant_inst,[status(thm)],[])).
% 72.54/45.41 tff(6265,plain,
% 72.54/45.41 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB35) | (~v147(constB35))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6264, 6263])).
% 72.54/45.41 tff(6266,plain,
% 72.54/45.41 (v145(constB35)),
% 72.54/45.41 inference(unit_resolution,[status(thm)],[6265, 6262, 6255])).
% 72.54/45.41 tff(6267,plain,
% 72.54/45.41 (^[VarCurr: $i] : refl((v197(VarCurr) | (~v145(VarCurr))) <=> (v197(VarCurr) | (~v145(VarCurr))))),
% 72.54/45.41 inference(bind,[status(th)],[])).
% 72.54/45.41 tff(6268,plain,
% 72.54/45.41 (![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr))) <=> ![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))),
% 72.54/45.41 inference(quant_intro,[status(thm)],[6267])).
% 72.54/45.41 tff(6269,plain,
% 72.54/45.41 (![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr))) <=> ![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6270,axiom,(![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_51_1_1_2')).
% 72.54/45.41 tff(6271,plain,
% 72.54/45.41 (![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6270, 6269])).
% 72.54/45.41 tff(6272,plain,(
% 72.54/45.41 ![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))),
% 72.54/45.41 inference(skolemize,[status(sab)],[6271])).
% 72.54/45.41 tff(6273,plain,
% 72.54/45.41 (![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6272, 6268])).
% 72.54/45.41 tff(6274,plain,
% 72.54/45.41 (((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB35) | (~v145(constB35)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB35) | (~v145(constB35)))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6275,plain,
% 72.54/45.41 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB35) | (~v145(constB35)))),
% 72.54/45.41 inference(quant_inst,[status(thm)],[])).
% 72.54/45.41 tff(6276,plain,
% 72.54/45.41 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB35) | (~v145(constB35))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6275, 6274])).
% 72.54/45.41 tff(6277,plain,
% 72.54/45.41 (v197(constB35)),
% 72.54/45.41 inference(unit_resolution,[status(thm)],[6276, 6273, 6266])).
% 72.54/45.41 tff(6278,plain,
% 72.54/45.41 (^[VarNext: $i] : refl(((~v197(VarNext)) | v183(VarNext) | v228(VarNext)) <=> ((~v197(VarNext)) | v183(VarNext) | v228(VarNext)))),
% 72.54/45.41 inference(bind,[status(th)],[])).
% 72.54/45.41 tff(6279,plain,
% 72.54/45.41 (![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext)) <=> ![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))),
% 72.54/45.41 inference(quant_intro,[status(thm)],[6278])).
% 72.54/45.41 tff(6280,plain,
% 72.54/45.41 (![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext)) <=> ![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6281,plain,
% 72.54/45.41 (^[VarNext: $i] : rewrite(((v183(VarNext) | v228(VarNext)) | (~v197(VarNext))) <=> ((~v197(VarNext)) | v183(VarNext) | v228(VarNext)))),
% 72.54/45.41 inference(bind,[status(th)],[])).
% 72.54/45.41 tff(6282,plain,
% 72.54/45.41 (![VarNext: $i] : ((v183(VarNext) | v228(VarNext)) | (~v197(VarNext))) <=> ![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))),
% 72.54/45.41 inference(quant_intro,[status(thm)],[6281])).
% 72.54/45.41 tff(6283,axiom,(![VarNext: $i] : ((v183(VarNext) | v228(VarNext)) | (~v197(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_6_1_2')).
% 72.54/45.41 tff(6284,plain,
% 72.54/45.41 (![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6283, 6282])).
% 72.54/45.41 tff(6285,plain,
% 72.54/45.41 (![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6284, 6280])).
% 72.54/45.41 tff(6286,plain,(
% 72.54/45.41 ![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))),
% 72.54/45.41 inference(skolemize,[status(sab)],[6285])).
% 72.54/45.41 tff(6287,plain,
% 72.54/45.41 (![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6286, 6279])).
% 72.54/45.41 tff(6288,plain,
% 72.54/45.41 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB35) | v183(constB35) | (~v197(constB35)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB35) | v183(constB35) | (~v197(constB35)))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6289,plain,
% 72.54/45.41 (((~v197(constB35)) | v183(constB35) | v228(constB35)) <=> (v228(constB35) | v183(constB35) | (~v197(constB35)))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6290,plain,
% 72.54/45.41 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB35)) | v183(constB35) | v228(constB35))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB35) | v183(constB35) | (~v197(constB35))))),
% 72.54/45.41 inference(monotonicity,[status(thm)],[6289])).
% 72.54/45.41 tff(6291,plain,
% 72.54/45.41 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB35)) | v183(constB35) | v228(constB35))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB35) | v183(constB35) | (~v197(constB35)))),
% 72.54/45.41 inference(transitivity,[status(thm)],[6290, 6288])).
% 72.54/45.41 tff(6292,plain,
% 72.54/45.41 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB35)) | v183(constB35) | v228(constB35))),
% 72.54/45.41 inference(quant_inst,[status(thm)],[])).
% 72.54/45.41 tff(6293,plain,
% 72.54/45.41 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB35) | v183(constB35) | (~v197(constB35))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6292, 6291])).
% 72.54/45.41 tff(6294,plain,
% 72.54/45.41 (v228(constB35)),
% 72.54/45.41 inference(unit_resolution,[status(thm)],[6293, 6287, 6277, 6193])).
% 72.54/45.41 tff(6295,plain,
% 72.54/45.41 (^[VarCurr: $i] : refl(((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1))) <=> ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1))))),
% 72.54/45.41 inference(bind,[status(th)],[])).
% 72.54/45.41 tff(6296,plain,
% 72.54/45.41 (![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))),
% 72.54/45.41 inference(quant_intro,[status(thm)],[6295])).
% 72.54/45.41 tff(6297,plain,
% 72.54/45.41 (![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6298,axiom,(![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_16_1_1')).
% 72.54/45.41 tff(6299,plain,
% 72.54/45.41 (![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6298, 6297])).
% 72.54/45.41 tff(6300,plain,(
% 72.54/45.41 ![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))),
% 72.54/45.41 inference(skolemize,[status(sab)],[6299])).
% 72.54/45.41 tff(6301,plain,
% 72.54/45.41 (![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6300, 6296])).
% 72.54/45.41 tff(6302,plain,
% 72.54/45.41 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB35)) | (~v223(constB35, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB35)) | (~v223(constB35, bitIndex1)))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6303,plain,
% 72.54/45.41 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB35)) | (~v223(constB35, bitIndex1)))),
% 72.54/45.41 inference(quant_inst,[status(thm)],[])).
% 72.54/45.41 tff(6304,plain,
% 72.54/45.41 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB35)) | (~v223(constB35, bitIndex1))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6303, 6302])).
% 72.54/45.41 tff(6305,plain,
% 72.54/45.41 (~v223(constB35, bitIndex1)),
% 72.54/45.41 inference(unit_resolution,[status(thm)],[6304, 6301, 6294])).
% 72.54/45.41 tff(6306,plain,
% 72.54/45.41 (^[VarCurr: $i] : refl(((~v222(VarCurr)) | v223(VarCurr, bitIndex1)) <=> ((~v222(VarCurr)) | v223(VarCurr, bitIndex1)))),
% 72.54/45.41 inference(bind,[status(th)],[])).
% 72.54/45.41 tff(6307,plain,
% 72.54/45.41 (![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))),
% 72.54/45.41 inference(quant_intro,[status(thm)],[6306])).
% 72.54/45.41 tff(6308,plain,
% 72.54/45.41 (![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6309,plain,
% 72.54/45.41 (^[VarCurr: $i] : rewrite((v223(VarCurr, bitIndex1) | (~v222(VarCurr))) <=> ((~v222(VarCurr)) | v223(VarCurr, bitIndex1)))),
% 72.54/45.41 inference(bind,[status(th)],[])).
% 72.54/45.41 tff(6310,plain,
% 72.54/45.41 (![VarCurr: $i] : (v223(VarCurr, bitIndex1) | (~v222(VarCurr))) <=> ![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))),
% 72.54/45.41 inference(quant_intro,[status(thm)],[6309])).
% 72.54/45.41 tff(6311,axiom,(![VarCurr: $i] : (v223(VarCurr, bitIndex1) | (~v222(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_54_1_2')).
% 72.54/45.41 tff(6312,plain,
% 72.54/45.41 (![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6311, 6310])).
% 72.54/45.41 tff(6313,plain,
% 72.54/45.41 (![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6312, 6308])).
% 72.54/45.41 tff(6314,plain,(
% 72.54/45.41 ![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))),
% 72.54/45.41 inference(skolemize,[status(sab)],[6313])).
% 72.54/45.41 tff(6315,plain,
% 72.54/45.41 (![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6314, 6307])).
% 72.54/45.41 tff(6316,plain,
% 72.54/45.41 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB35)) | v223(constB35, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB35)) | v223(constB35, bitIndex1))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6317,plain,
% 72.54/45.41 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB35)) | v223(constB35, bitIndex1))),
% 72.54/45.41 inference(quant_inst,[status(thm)],[])).
% 72.54/45.41 tff(6318,plain,
% 72.54/45.41 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB35)) | v223(constB35, bitIndex1)),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6317, 6316])).
% 72.54/45.41 tff(6319,plain,
% 72.54/45.41 (~v222(constB35)),
% 72.54/45.41 inference(unit_resolution,[status(thm)],[6318, 6315, 6305])).
% 72.54/45.41 tff(6320,plain,
% 72.54/45.41 (^[VarCurr: $i] : refl((v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr))) <=> (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr))))),
% 72.54/45.41 inference(bind,[status(th)],[])).
% 72.54/45.41 tff(6321,plain,
% 72.54/45.41 (![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))),
% 72.54/45.41 inference(quant_intro,[status(thm)],[6320])).
% 72.54/45.41 tff(6322,plain,
% 72.54/45.41 (![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6323,plain,
% 72.54/45.41 (^[VarCurr: $i] : trans(monotonicity(rewrite(((~v166(VarCurr)) | v200(VarCurr)) <=> (v200(VarCurr) | (~v166(VarCurr)))), ((((~v166(VarCurr)) | v200(VarCurr)) | v141(VarCurr)) <=> ((v200(VarCurr) | (~v166(VarCurr))) | v141(VarCurr)))), rewrite(((v200(VarCurr) | (~v166(VarCurr))) | v141(VarCurr)) <=> (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))), ((((~v166(VarCurr)) | v200(VarCurr)) | v141(VarCurr)) <=> (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))))),
% 72.54/45.41 inference(bind,[status(th)],[])).
% 72.54/45.41 tff(6324,plain,
% 72.54/45.41 (![VarCurr: $i] : (((~v166(VarCurr)) | v200(VarCurr)) | v141(VarCurr)) <=> ![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))),
% 72.54/45.41 inference(quant_intro,[status(thm)],[6323])).
% 72.54/45.41 tff(6325,axiom,(![VarCurr: $i] : (((~v166(VarCurr)) | v200(VarCurr)) | v141(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2_1_1_1')).
% 72.54/45.41 tff(6326,plain,
% 72.54/45.41 (![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6325, 6324])).
% 72.54/45.41 tff(6327,plain,
% 72.54/45.41 (![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6326, 6322])).
% 72.54/45.41 tff(6328,plain,(
% 72.54/45.41 ![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))),
% 72.54/45.41 inference(skolemize,[status(sab)],[6327])).
% 72.54/45.41 tff(6329,plain,
% 72.54/45.41 (![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6328, 6321])).
% 72.54/45.41 tff(6330,plain,
% 72.54/45.41 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB35) | v200(constB35) | (~v166(constB35)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB35) | v200(constB35) | (~v166(constB35)))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6331,plain,
% 72.54/45.41 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB35) | v200(constB35) | (~v166(constB35)))),
% 72.54/45.41 inference(quant_inst,[status(thm)],[])).
% 72.54/45.41 tff(6332,plain,
% 72.54/45.41 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB35) | v200(constB35) | (~v166(constB35))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6331, 6330])).
% 72.54/45.41 tff(6333,plain,
% 72.54/45.41 (~v166(constB35)),
% 72.54/45.41 inference(unit_resolution,[status(thm)],[6332, 6329, 6123, 6109])).
% 72.54/45.41 tff(6334,plain,
% 72.54/45.41 (^[VarNext: $i] : refl(((~v197(VarNext)) | v166(VarNext) | v241(VarNext)) <=> ((~v197(VarNext)) | v166(VarNext) | v241(VarNext)))),
% 72.54/45.41 inference(bind,[status(th)],[])).
% 72.54/45.41 tff(6335,plain,
% 72.54/45.41 (![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext)) <=> ![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))),
% 72.54/45.41 inference(quant_intro,[status(thm)],[6334])).
% 72.54/45.41 tff(6336,plain,
% 72.54/45.41 (![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext)) <=> ![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))),
% 72.54/45.41 inference(rewrite,[status(thm)],[])).
% 72.54/45.41 tff(6337,plain,
% 72.54/45.41 (^[VarNext: $i] : rewrite(((v166(VarNext) | v241(VarNext)) | (~v197(VarNext))) <=> ((~v197(VarNext)) | v166(VarNext) | v241(VarNext)))),
% 72.54/45.41 inference(bind,[status(th)],[])).
% 72.54/45.41 tff(6338,plain,
% 72.54/45.41 (![VarNext: $i] : ((v166(VarNext) | v241(VarNext)) | (~v197(VarNext))) <=> ![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))),
% 72.54/45.41 inference(quant_intro,[status(thm)],[6337])).
% 72.54/45.41 tff(6339,axiom,(![VarNext: $i] : ((v166(VarNext) | v241(VarNext)) | (~v197(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_5_1_2')).
% 72.54/45.41 tff(6340,plain,
% 72.54/45.41 (![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6339, 6338])).
% 72.54/45.41 tff(6341,plain,
% 72.54/45.41 (![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6340, 6336])).
% 72.54/45.41 tff(6342,plain,(
% 72.54/45.41 ![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))),
% 72.54/45.41 inference(skolemize,[status(sab)],[6341])).
% 72.54/45.41 tff(6343,plain,
% 72.54/45.41 (![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))),
% 72.54/45.41 inference(modus_ponens,[status(thm)],[6342, 6335])).
% 72.54/45.42 tff(6344,plain,
% 72.54/45.42 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB35) | v166(constB35) | (~v197(constB35)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB35) | v166(constB35) | (~v197(constB35)))),
% 72.54/45.42 inference(rewrite,[status(thm)],[])).
% 72.54/45.42 tff(6345,plain,
% 72.54/45.42 (((~v197(constB35)) | v166(constB35) | v241(constB35)) <=> (v241(constB35) | v166(constB35) | (~v197(constB35)))),
% 72.54/45.42 inference(rewrite,[status(thm)],[])).
% 72.54/45.42 tff(6346,plain,
% 72.54/45.42 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB35)) | v166(constB35) | v241(constB35))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB35) | v166(constB35) | (~v197(constB35))))),
% 72.54/45.42 inference(monotonicity,[status(thm)],[6345])).
% 72.54/45.42 tff(6347,plain,
% 72.54/45.42 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB35)) | v166(constB35) | v241(constB35))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB35) | v166(constB35) | (~v197(constB35)))),
% 72.54/45.42 inference(transitivity,[status(thm)],[6346, 6344])).
% 72.54/45.42 tff(6348,plain,
% 72.54/45.42 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB35)) | v166(constB35) | v241(constB35))),
% 72.54/45.42 inference(quant_inst,[status(thm)],[])).
% 72.54/45.42 tff(6349,plain,
% 72.54/45.42 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB35) | v166(constB35) | (~v197(constB35))),
% 72.54/45.42 inference(modus_ponens,[status(thm)],[6348, 6347])).
% 72.54/45.42 tff(6350,plain,
% 72.54/45.42 (v241(constB35)),
% 72.54/45.42 inference(unit_resolution,[status(thm)],[6349, 6343, 6277, 6333])).
% 72.54/45.42 tff(6351,plain,
% 72.54/45.42 (^[VarCurr: $i] : refl(((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2))) <=> ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2))))),
% 72.54/45.42 inference(bind,[status(th)],[])).
% 72.54/45.42 tff(6352,plain,
% 72.54/45.42 (![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))),
% 72.54/45.42 inference(quant_intro,[status(thm)],[6351])).
% 72.54/45.42 tff(6353,plain,
% 72.54/45.42 (![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))),
% 72.54/45.42 inference(rewrite,[status(thm)],[])).
% 72.54/45.42 tff(6354,axiom,(![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_21_1_1')).
% 72.54/45.42 tff(6355,plain,
% 72.54/45.42 (![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))),
% 72.54/45.42 inference(modus_ponens,[status(thm)],[6354, 6353])).
% 72.54/45.42 tff(6356,plain,(
% 72.54/45.42 ![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))),
% 72.54/45.42 inference(skolemize,[status(sab)],[6355])).
% 72.54/45.42 tff(6357,plain,
% 72.54/45.42 (![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))),
% 72.54/45.42 inference(modus_ponens,[status(thm)],[6356, 6352])).
% 72.54/45.42 tff(6358,plain,
% 72.54/45.42 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB35)) | (~v223(constB35, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB35)) | (~v223(constB35, bitIndex2)))),
% 72.54/45.42 inference(rewrite,[status(thm)],[])).
% 72.54/45.42 tff(6359,plain,
% 72.54/45.42 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB35)) | (~v223(constB35, bitIndex2)))),
% 72.54/45.42 inference(quant_inst,[status(thm)],[])).
% 72.54/45.42 tff(6360,plain,
% 72.54/45.42 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB35)) | (~v223(constB35, bitIndex2))),
% 72.54/45.42 inference(modus_ponens,[status(thm)],[6359, 6358])).
% 72.54/45.42 tff(6361,plain,
% 72.54/45.42 (~v223(constB35, bitIndex2)),
% 72.54/45.42 inference(unit_resolution,[status(thm)],[6360, 6357, 6350])).
% 72.54/45.42 tff(6362,plain,
% 72.54/45.42 (^[VarCurr: $i] : refl(((~v224(VarCurr)) | v223(VarCurr, bitIndex2)) <=> ((~v224(VarCurr)) | v223(VarCurr, bitIndex2)))),
% 72.54/45.42 inference(bind,[status(th)],[])).
% 72.54/45.42 tff(6363,plain,
% 72.54/45.42 (![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))),
% 72.54/45.42 inference(quant_intro,[status(thm)],[6362])).
% 72.59/45.42 tff(6364,plain,
% 72.59/45.42 (![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6365,plain,
% 72.59/45.42 (^[VarCurr: $i] : rewrite((v223(VarCurr, bitIndex2) | (~v224(VarCurr))) <=> ((~v224(VarCurr)) | v223(VarCurr, bitIndex2)))),
% 72.59/45.42 inference(bind,[status(th)],[])).
% 72.59/45.42 tff(6366,plain,
% 72.59/45.42 (![VarCurr: $i] : (v223(VarCurr, bitIndex2) | (~v224(VarCurr))) <=> ![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))),
% 72.59/45.42 inference(quant_intro,[status(thm)],[6365])).
% 72.59/45.42 tff(6367,axiom,(![VarCurr: $i] : (v223(VarCurr, bitIndex2) | (~v224(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_58_1_2')).
% 72.59/45.42 tff(6368,plain,
% 72.59/45.42 (![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6367, 6366])).
% 72.59/45.42 tff(6369,plain,
% 72.59/45.42 (![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6368, 6364])).
% 72.59/45.42 tff(6370,plain,(
% 72.59/45.42 ![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))),
% 72.59/45.42 inference(skolemize,[status(sab)],[6369])).
% 72.59/45.42 tff(6371,plain,
% 72.59/45.42 (![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6370, 6363])).
% 72.59/45.42 tff(6372,plain,
% 72.59/45.42 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB35)) | v223(constB35, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB35)) | v223(constB35, bitIndex2))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6373,plain,
% 72.59/45.42 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB35)) | v223(constB35, bitIndex2))),
% 72.59/45.42 inference(quant_inst,[status(thm)],[])).
% 72.59/45.42 tff(6374,plain,
% 72.59/45.42 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB35)) | v223(constB35, bitIndex2)),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6373, 6372])).
% 72.59/45.42 tff(6375,plain,
% 72.59/45.42 (~v224(constB35)),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6374, 6371, 6361])).
% 72.59/45.42 tff(6376,plain,
% 72.59/45.42 (^[VarCurr: $i] : refl((v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr))) <=> (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr))))),
% 72.59/45.42 inference(bind,[status(th)],[])).
% 72.59/45.42 tff(6377,plain,
% 72.59/45.42 (![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr))) <=> ![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))),
% 72.59/45.42 inference(quant_intro,[status(thm)],[6376])).
% 72.59/45.42 tff(6378,plain,
% 72.59/45.42 (![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr))) <=> ![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6379,plain,
% 72.59/45.42 (^[VarCurr: $i] : trans(monotonicity(rewrite((v224(VarCurr) | v222(VarCurr)) <=> (v222(VarCurr) | v224(VarCurr))), (((v224(VarCurr) | v222(VarCurr)) | (~v236(VarCurr))) <=> ((v222(VarCurr) | v224(VarCurr)) | (~v236(VarCurr))))), rewrite(((v222(VarCurr) | v224(VarCurr)) | (~v236(VarCurr))) <=> (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))), (((v224(VarCurr) | v222(VarCurr)) | (~v236(VarCurr))) <=> (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))))),
% 72.59/45.42 inference(bind,[status(th)],[])).
% 72.59/45.42 tff(6380,plain,
% 72.59/45.42 (![VarCurr: $i] : ((v224(VarCurr) | v222(VarCurr)) | (~v236(VarCurr))) <=> ![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))),
% 72.59/45.42 inference(quant_intro,[status(thm)],[6379])).
% 72.59/45.42 tff(6381,axiom,(![VarCurr: $i] : ((v224(VarCurr) | v222(VarCurr)) | (~v236(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_61_1_3')).
% 72.59/45.42 tff(6382,plain,
% 72.59/45.42 (![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6381, 6380])).
% 72.59/45.42 tff(6383,plain,
% 72.59/45.42 (![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6382, 6378])).
% 72.59/45.42 tff(6384,plain,(
% 72.59/45.42 ![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))),
% 72.59/45.42 inference(skolemize,[status(sab)],[6383])).
% 72.59/45.42 tff(6385,plain,
% 72.59/45.42 (![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6384, 6377])).
% 72.59/45.42 tff(6386,plain,
% 72.59/45.42 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB35) | v224(constB35) | (~v236(constB35)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB35) | v224(constB35) | (~v236(constB35)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6387,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB35) | v224(constB35) | (~v236(constB35)))),
% 72.59/45.42 inference(quant_inst,[status(thm)],[])).
% 72.59/45.42 tff(6388,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB35) | v224(constB35) | (~v236(constB35))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6387, 6386])).
% 72.59/45.42 tff(6389,plain,
% 72.59/45.42 (~v236(constB35)),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6388, 6385, 6375, 6319])).
% 72.59/45.42 tff(6390,plain,
% 72.59/45.42 (^[VarCurr: $i] : refl((v236(VarCurr) | (~v232(VarCurr))) <=> (v236(VarCurr) | (~v232(VarCurr))))),
% 72.59/45.42 inference(bind,[status(th)],[])).
% 72.59/45.42 tff(6391,plain,
% 72.59/45.42 (![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr))) <=> ![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))),
% 72.59/45.42 inference(quant_intro,[status(thm)],[6390])).
% 72.59/45.42 tff(6392,plain,
% 72.59/45.42 (![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr))) <=> ![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6393,axiom,(![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_62_1_2')).
% 72.59/45.42 tff(6394,plain,
% 72.59/45.42 (![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6393, 6392])).
% 72.59/45.42 tff(6395,plain,(
% 72.59/45.42 ![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))),
% 72.59/45.42 inference(skolemize,[status(sab)],[6394])).
% 72.59/45.42 tff(6396,plain,
% 72.59/45.42 (![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6395, 6391])).
% 72.59/45.42 tff(6397,plain,
% 72.59/45.42 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB35) | (~v232(constB35)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB35) | (~v232(constB35)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6398,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB35) | (~v232(constB35)))),
% 72.59/45.42 inference(quant_inst,[status(thm)],[])).
% 72.59/45.42 tff(6399,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB35) | (~v232(constB35))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6398, 6397])).
% 72.59/45.42 tff(6400,plain,
% 72.59/45.42 (~v232(constB35)),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6399, 6396, 6389])).
% 72.59/45.42 tff(6401,plain,
% 72.59/45.42 (^[VarCurr: $i] : refl((v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr))) <=> (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr))))),
% 72.59/45.42 inference(bind,[status(th)],[])).
% 72.59/45.42 tff(6402,plain,
% 72.59/45.42 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))),
% 72.59/45.42 inference(quant_intro,[status(thm)],[6401])).
% 72.59/45.42 tff(6403,plain,
% 72.59/45.42 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6404,plain,
% 72.59/45.42 (^[VarCurr: $i] : trans(monotonicity(rewrite(((~v148(VarCurr)) | v140(VarCurr)) <=> (v140(VarCurr) | (~v148(VarCurr)))), ((((~v148(VarCurr)) | v140(VarCurr)) | v139(VarCurr)) <=> ((v140(VarCurr) | (~v148(VarCurr))) | v139(VarCurr)))), rewrite(((v140(VarCurr) | (~v148(VarCurr))) | v139(VarCurr)) <=> (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))), ((((~v148(VarCurr)) | v140(VarCurr)) | v139(VarCurr)) <=> (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))))),
% 72.59/45.42 inference(bind,[status(th)],[])).
% 72.59/45.42 tff(6405,plain,
% 72.59/45.42 (![VarCurr: $i] : (((~v148(VarCurr)) | v140(VarCurr)) | v139(VarCurr)) <=> ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))),
% 72.59/45.42 inference(quant_intro,[status(thm)],[6404])).
% 72.59/45.42 tff(6406,axiom,(![VarCurr: $i] : (((~v148(VarCurr)) | v140(VarCurr)) | v139(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_1_1_1')).
% 72.59/45.42 tff(6407,plain,
% 72.59/45.42 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6406, 6405])).
% 72.59/45.42 tff(6408,plain,
% 72.59/45.42 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6407, 6403])).
% 72.59/45.42 tff(6409,plain,(
% 72.59/45.42 ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))),
% 72.59/45.42 inference(skolemize,[status(sab)],[6408])).
% 72.59/45.42 tff(6410,plain,
% 72.59/45.42 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6409, 6402])).
% 72.59/45.42 tff(6411,plain,
% 72.59/45.42 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB35)) | v140(constB35) | v139(constB35))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB35)) | v140(constB35) | v139(constB35))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6412,plain,
% 72.59/45.42 ((v140(constB35) | v139(constB35) | (~v148(constB35))) <=> ((~v148(constB35)) | v140(constB35) | v139(constB35))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6413,plain,
% 72.59/45.42 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB35) | v139(constB35) | (~v148(constB35)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB35)) | v140(constB35) | v139(constB35)))),
% 72.59/45.42 inference(monotonicity,[status(thm)],[6412])).
% 72.59/45.42 tff(6414,plain,
% 72.59/45.42 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB35) | v139(constB35) | (~v148(constB35)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB35)) | v140(constB35) | v139(constB35))),
% 72.59/45.42 inference(transitivity,[status(thm)],[6413, 6411])).
% 72.59/45.42 tff(6415,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB35) | v139(constB35) | (~v148(constB35)))),
% 72.59/45.42 inference(quant_inst,[status(thm)],[])).
% 72.59/45.42 tff(6416,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB35)) | v140(constB35) | v139(constB35)),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6415, 6414])).
% 72.59/45.42 tff(6417,plain,
% 72.59/45.42 (~v148(constB35)),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6416, 6410, 6092, 6033])).
% 72.59/45.42 tff(6418,plain,
% 72.59/45.42 (^[VarNext: $i] : refl((v148(VarNext) | (~v197(VarNext)) | v252(VarNext)) <=> (v148(VarNext) | (~v197(VarNext)) | v252(VarNext)))),
% 72.59/45.42 inference(bind,[status(th)],[])).
% 72.59/45.42 tff(6419,plain,
% 72.59/45.42 (![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext)) <=> ![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))),
% 72.59/45.42 inference(quant_intro,[status(thm)],[6418])).
% 72.59/45.42 tff(6420,plain,
% 72.59/45.42 (![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext)) <=> ![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6421,plain,
% 72.59/45.42 (^[VarNext: $i] : rewrite(((v148(VarNext) | v252(VarNext)) | (~v197(VarNext))) <=> (v148(VarNext) | (~v197(VarNext)) | v252(VarNext)))),
% 72.59/45.42 inference(bind,[status(th)],[])).
% 72.59/45.42 tff(6422,plain,
% 72.59/45.42 (![VarNext: $i] : ((v148(VarNext) | v252(VarNext)) | (~v197(VarNext))) <=> ![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))),
% 72.59/45.42 inference(quant_intro,[status(thm)],[6421])).
% 72.59/45.42 tff(6423,axiom,(![VarNext: $i] : ((v148(VarNext) | v252(VarNext)) | (~v197(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_4_1_2')).
% 72.59/45.42 tff(6424,plain,
% 72.59/45.42 (![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6423, 6422])).
% 72.59/45.42 tff(6425,plain,
% 72.59/45.42 (![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6424, 6420])).
% 72.59/45.42 tff(6426,plain,(
% 72.59/45.42 ![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))),
% 72.59/45.42 inference(skolemize,[status(sab)],[6425])).
% 72.59/45.42 tff(6427,plain,
% 72.59/45.42 (![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6426, 6419])).
% 72.59/45.42 tff(6428,plain,
% 72.59/45.42 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB35) | v148(constB35) | (~v197(constB35)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB35) | v148(constB35) | (~v197(constB35)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6429,plain,
% 72.59/45.42 ((v148(constB35) | (~v197(constB35)) | v252(constB35)) <=> (v252(constB35) | v148(constB35) | (~v197(constB35)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6430,plain,
% 72.59/45.42 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB35) | (~v197(constB35)) | v252(constB35))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB35) | v148(constB35) | (~v197(constB35))))),
% 72.59/45.42 inference(monotonicity,[status(thm)],[6429])).
% 72.59/45.42 tff(6431,plain,
% 72.59/45.42 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB35) | (~v197(constB35)) | v252(constB35))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB35) | v148(constB35) | (~v197(constB35)))),
% 72.59/45.42 inference(transitivity,[status(thm)],[6430, 6428])).
% 72.59/45.42 tff(6432,plain,
% 72.59/45.42 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB35) | (~v197(constB35)) | v252(constB35))),
% 72.59/45.42 inference(quant_inst,[status(thm)],[])).
% 72.59/45.42 tff(6433,plain,
% 72.59/45.42 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB35) | v148(constB35) | (~v197(constB35))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6432, 6431])).
% 72.59/45.42 tff(6434,plain,
% 72.59/45.42 (v252(constB35)),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6433, 6427, 6277, 6417])).
% 72.59/45.42 tff(6435,plain,
% 72.59/45.42 (^[VarCurr: $i] : refl(((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3))) <=> ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3))))),
% 72.59/45.42 inference(bind,[status(th)],[])).
% 72.59/45.42 tff(6436,plain,
% 72.59/45.42 (![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3))) <=> ![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))),
% 72.59/45.42 inference(quant_intro,[status(thm)],[6435])).
% 72.59/45.42 tff(6437,plain,
% 72.59/45.42 (![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3))) <=> ![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6438,axiom,(![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_26_1_1')).
% 72.59/45.42 tff(6439,plain,
% 72.59/45.42 (![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6438, 6437])).
% 72.59/45.42 tff(6440,plain,(
% 72.59/45.42 ![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))),
% 72.59/45.42 inference(skolemize,[status(sab)],[6439])).
% 72.59/45.42 tff(6441,plain,
% 72.59/45.42 (![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6440, 6436])).
% 72.59/45.42 tff(6442,plain,
% 72.59/45.42 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB35)) | (~v223(constB35, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB35)) | (~v223(constB35, bitIndex3)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6443,plain,
% 72.59/45.42 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB35)) | (~v223(constB35, bitIndex3)))),
% 72.59/45.42 inference(quant_inst,[status(thm)],[])).
% 72.59/45.42 tff(6444,plain,
% 72.59/45.42 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB35)) | (~v223(constB35, bitIndex3))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6443, 6442])).
% 72.59/45.42 tff(6445,plain,
% 72.59/45.42 (~v223(constB35, bitIndex3)),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6444, 6441, 6434])).
% 72.59/45.42 tff(6446,plain,
% 72.59/45.42 (^[VarCurr: $i] : refl(((~v237(VarCurr)) | v223(VarCurr, bitIndex3)) <=> ((~v237(VarCurr)) | v223(VarCurr, bitIndex3)))),
% 72.59/45.42 inference(bind,[status(th)],[])).
% 72.59/45.42 tff(6447,plain,
% 72.59/45.42 (![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3)) <=> ![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))),
% 72.59/45.42 inference(quant_intro,[status(thm)],[6446])).
% 72.59/45.42 tff(6448,plain,
% 72.59/45.42 (![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3)) <=> ![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6449,plain,
% 72.59/45.42 (^[VarCurr: $i] : rewrite((v223(VarCurr, bitIndex3) | (~v237(VarCurr))) <=> ((~v237(VarCurr)) | v223(VarCurr, bitIndex3)))),
% 72.59/45.42 inference(bind,[status(th)],[])).
% 72.59/45.42 tff(6450,plain,
% 72.59/45.42 (![VarCurr: $i] : (v223(VarCurr, bitIndex3) | (~v237(VarCurr))) <=> ![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))),
% 72.59/45.42 inference(quant_intro,[status(thm)],[6449])).
% 72.59/45.42 tff(6451,axiom,(![VarCurr: $i] : (v223(VarCurr, bitIndex3) | (~v237(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_66_1_2')).
% 72.59/45.42 tff(6452,plain,
% 72.59/45.42 (![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6451, 6450])).
% 72.59/45.42 tff(6453,plain,
% 72.59/45.42 (![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6452, 6448])).
% 72.59/45.42 tff(6454,plain,(
% 72.59/45.42 ![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))),
% 72.59/45.42 inference(skolemize,[status(sab)],[6453])).
% 72.59/45.42 tff(6455,plain,
% 72.59/45.42 (![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6454, 6447])).
% 72.59/45.42 tff(6456,plain,
% 72.59/45.42 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB35)) | v223(constB35, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB35)) | v223(constB35, bitIndex3))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6457,plain,
% 72.59/45.42 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB35)) | v223(constB35, bitIndex3))),
% 72.59/45.42 inference(quant_inst,[status(thm)],[])).
% 72.59/45.42 tff(6458,plain,
% 72.59/45.42 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB35)) | v223(constB35, bitIndex3)),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6457, 6456])).
% 72.59/45.42 tff(6459,plain,
% 72.59/45.42 (~v237(constB35)),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6458, 6455, 6445])).
% 72.59/45.42 tff(6460,plain,
% 72.59/45.42 (^[VarCurr: $i] : refl((v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr))) <=> (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr))))),
% 72.59/45.42 inference(bind,[status(th)],[])).
% 72.59/45.42 tff(6461,plain,
% 72.59/45.42 (![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr))) <=> ![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))),
% 72.59/45.42 inference(quant_intro,[status(thm)],[6460])).
% 72.59/45.42 tff(6462,plain,
% 72.59/45.42 (![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr))) <=> ![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6463,plain,
% 72.59/45.42 (^[VarCurr: $i] : trans(monotonicity(rewrite((v237(VarCurr) | v232(VarCurr)) <=> (v237(VarCurr) | v232(VarCurr))), (((v237(VarCurr) | v232(VarCurr)) | (~v248(VarCurr))) <=> ((v237(VarCurr) | v232(VarCurr)) | (~v248(VarCurr))))), rewrite(((v237(VarCurr) | v232(VarCurr)) | (~v248(VarCurr))) <=> (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))), (((v237(VarCurr) | v232(VarCurr)) | (~v248(VarCurr))) <=> (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))))),
% 72.59/45.42 inference(bind,[status(th)],[])).
% 72.59/45.42 tff(6464,plain,
% 72.59/45.42 (![VarCurr: $i] : ((v237(VarCurr) | v232(VarCurr)) | (~v248(VarCurr))) <=> ![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))),
% 72.59/45.42 inference(quant_intro,[status(thm)],[6463])).
% 72.59/45.42 tff(6465,axiom,(![VarCurr: $i] : ((v237(VarCurr) | v232(VarCurr)) | (~v248(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_72_1_3')).
% 72.59/45.42 tff(6466,plain,
% 72.59/45.42 (![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6465, 6464])).
% 72.59/45.42 tff(6467,plain,
% 72.59/45.42 (![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6466, 6462])).
% 72.59/45.42 tff(6468,plain,(
% 72.59/45.42 ![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))),
% 72.59/45.42 inference(skolemize,[status(sab)],[6467])).
% 72.59/45.42 tff(6469,plain,
% 72.59/45.42 (![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6468, 6461])).
% 72.59/45.42 tff(6470,plain,
% 72.59/45.42 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v232(constB35) | v237(constB35) | (~v248(constB35)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB35) | v237(constB35) | (~v248(constB35)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6471,plain,
% 72.59/45.42 ((v237(constB35) | v232(constB35) | (~v248(constB35))) <=> (v232(constB35) | v237(constB35) | (~v248(constB35)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6472,plain,
% 72.59/45.42 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB35) | v232(constB35) | (~v248(constB35)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v232(constB35) | v237(constB35) | (~v248(constB35))))),
% 72.59/45.42 inference(monotonicity,[status(thm)],[6471])).
% 72.59/45.42 tff(6473,plain,
% 72.59/45.42 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB35) | v232(constB35) | (~v248(constB35)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB35) | v237(constB35) | (~v248(constB35)))),
% 72.59/45.42 inference(transitivity,[status(thm)],[6472, 6470])).
% 72.59/45.42 tff(6474,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB35) | v232(constB35) | (~v248(constB35)))),
% 72.59/45.42 inference(quant_inst,[status(thm)],[])).
% 72.59/45.42 tff(6475,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB35) | v237(constB35) | (~v248(constB35))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6474, 6473])).
% 72.59/45.42 tff(6476,plain,
% 72.59/45.42 (v232(constB35) | (~v248(constB35))),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6475, 6469, 6459])).
% 72.59/45.42 tff(6477,plain,
% 72.59/45.42 (~v248(constB35)),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6476, 6400])).
% 72.59/45.42 tff(6478,plain,
% 72.59/45.42 (^[VarCurr: $i] : refl((v248(VarCurr) | (~v244(VarCurr))) <=> (v248(VarCurr) | (~v244(VarCurr))))),
% 72.59/45.42 inference(bind,[status(th)],[])).
% 72.59/45.42 tff(6479,plain,
% 72.59/45.42 (![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr))) <=> ![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))),
% 72.59/45.42 inference(quant_intro,[status(thm)],[6478])).
% 72.59/45.42 tff(6480,plain,
% 72.59/45.42 (![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr))) <=> ![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6481,axiom,(![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_73_1_2')).
% 72.59/45.42 tff(6482,plain,
% 72.59/45.42 (![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6481, 6480])).
% 72.59/45.42 tff(6483,plain,(
% 72.59/45.42 ![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))),
% 72.59/45.42 inference(skolemize,[status(sab)],[6482])).
% 72.59/45.42 tff(6484,plain,
% 72.59/45.42 (![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6483, 6479])).
% 72.59/45.42 tff(6485,plain,
% 72.59/45.42 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB35) | (~v244(constB35)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB35) | (~v244(constB35)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6486,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB35) | (~v244(constB35)))),
% 72.59/45.42 inference(quant_inst,[status(thm)],[])).
% 72.59/45.42 tff(6487,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB35) | (~v244(constB35))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6486, 6485])).
% 72.59/45.42 tff(6488,plain,
% 72.59/45.42 (~v244(constB35)),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6487, 6484, 6477])).
% 72.59/45.42 tff(6489,plain,
% 72.59/45.42 (^[VarCurr: $i] : refl((v244(VarCurr) | (~v216(VarCurr, bitIndex1))) <=> (v244(VarCurr) | (~v216(VarCurr, bitIndex1))))),
% 72.59/45.42 inference(bind,[status(th)],[])).
% 72.59/45.42 tff(6490,plain,
% 72.59/45.42 (![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))),
% 72.59/45.42 inference(quant_intro,[status(thm)],[6489])).
% 72.59/45.42 tff(6491,plain,
% 72.59/45.42 (![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6492,axiom,(![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_18_1_2')).
% 72.59/45.42 tff(6493,plain,
% 72.59/45.42 (![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6492, 6491])).
% 72.59/45.42 tff(6494,plain,(
% 72.59/45.42 ![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))),
% 72.59/45.42 inference(skolemize,[status(sab)],[6493])).
% 72.59/45.42 tff(6495,plain,
% 72.59/45.42 (![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6494, 6490])).
% 72.59/45.42 tff(6496,plain,
% 72.59/45.42 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB35) | (~v216(constB35, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB35) | (~v216(constB35, bitIndex1)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6497,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB35) | (~v216(constB35, bitIndex1)))),
% 72.59/45.42 inference(quant_inst,[status(thm)],[])).
% 72.59/45.42 tff(6498,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB35) | (~v216(constB35, bitIndex1))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6497, 6496])).
% 72.59/45.42 tff(6499,plain,
% 72.59/45.42 (~v216(constB35, bitIndex1)),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6498, 6495, 6488])).
% 72.59/45.42 tff(6500,plain,
% 72.59/45.42 (^[VarCurr: $i] : refl((v216(VarCurr, bitIndex1) | (~v254(VarCurr))) <=> (v216(VarCurr, bitIndex1) | (~v254(VarCurr))))),
% 72.59/45.42 inference(bind,[status(th)],[])).
% 72.59/45.42 tff(6501,plain,
% 72.59/45.42 (![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr))) <=> ![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))),
% 72.59/45.42 inference(quant_intro,[status(thm)],[6500])).
% 72.59/45.42 tff(6502,plain,
% 72.59/45.42 (![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr))) <=> ![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6503,axiom,(![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_77_1_1_1_1')).
% 72.59/45.42 tff(6504,plain,
% 72.59/45.42 (![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6503, 6502])).
% 72.59/45.42 tff(6505,plain,(
% 72.59/45.42 ![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))),
% 72.59/45.42 inference(skolemize,[status(sab)],[6504])).
% 72.59/45.42 tff(6506,plain,
% 72.59/45.42 (![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6505, 6501])).
% 72.59/45.42 tff(6507,plain,
% 72.59/45.42 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB35, bitIndex1) | (~v254(constB35)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB35, bitIndex1) | (~v254(constB35)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6508,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB35, bitIndex1) | (~v254(constB35)))),
% 72.59/45.42 inference(quant_inst,[status(thm)],[])).
% 72.59/45.42 tff(6509,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB35, bitIndex1) | (~v254(constB35))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6508, 6507])).
% 72.59/45.42 tff(6510,plain,
% 72.59/45.42 (~v254(constB35)),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6509, 6506, 6499])).
% 72.59/45.42 tff(6511,plain,
% 72.59/45.42 (^[VarCurr: $i] : refl((v224(VarCurr) | (~v221(VarCurr))) <=> (v224(VarCurr) | (~v221(VarCurr))))),
% 72.59/45.42 inference(bind,[status(th)],[])).
% 72.59/45.42 tff(6512,plain,
% 72.59/45.42 (![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr))) <=> ![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))),
% 72.59/45.42 inference(quant_intro,[status(thm)],[6511])).
% 72.59/45.42 tff(6513,plain,
% 72.59/45.42 (![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr))) <=> ![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6514,axiom,(![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_59_1_2')).
% 72.59/45.42 tff(6515,plain,
% 72.59/45.42 (![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6514, 6513])).
% 72.59/45.42 tff(6516,plain,(
% 72.59/45.42 ![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))),
% 72.59/45.42 inference(skolemize,[status(sab)],[6515])).
% 72.59/45.42 tff(6517,plain,
% 72.59/45.42 (![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6516, 6512])).
% 72.59/45.42 tff(6518,plain,
% 72.59/45.42 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB35) | (~v221(constB35)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB35) | (~v221(constB35)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6519,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB35) | (~v221(constB35)))),
% 72.59/45.42 inference(quant_inst,[status(thm)],[])).
% 72.59/45.42 tff(6520,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB35) | (~v221(constB35))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6519, 6518])).
% 72.59/45.42 tff(6521,plain,
% 72.59/45.42 (~v221(constB35)),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6520, 6517, 6375])).
% 72.59/45.42 tff(6522,plain,
% 72.59/45.42 (^[VarCurr: $i] : refl((v237(VarCurr) | (~v231(VarCurr))) <=> (v237(VarCurr) | (~v231(VarCurr))))),
% 72.59/45.42 inference(bind,[status(th)],[])).
% 72.59/45.42 tff(6523,plain,
% 72.59/45.42 (![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr))) <=> ![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))),
% 72.59/45.42 inference(quant_intro,[status(thm)],[6522])).
% 72.59/45.42 tff(6524,plain,
% 72.59/45.42 (![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr))) <=> ![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6525,axiom,(![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_67_1_2')).
% 72.59/45.42 tff(6526,plain,
% 72.59/45.42 (![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6525, 6524])).
% 72.59/45.42 tff(6527,plain,(
% 72.59/45.42 ![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))),
% 72.59/45.42 inference(skolemize,[status(sab)],[6526])).
% 72.59/45.42 tff(6528,plain,
% 72.59/45.42 (![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6527, 6523])).
% 72.59/45.42 tff(6529,plain,
% 72.59/45.42 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB35) | (~v231(constB35)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB35) | (~v231(constB35)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6530,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB35) | (~v231(constB35)))),
% 72.59/45.42 inference(quant_inst,[status(thm)],[])).
% 72.59/45.42 tff(6531,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB35) | (~v231(constB35))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6530, 6529])).
% 72.59/45.42 tff(6532,plain,
% 72.59/45.42 (~v231(constB35)),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6531, 6528, 6459])).
% 72.59/45.42 tff(6533,plain,
% 72.59/45.42 (^[VarCurr: $i] : refl((v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr))) <=> (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr))))),
% 72.59/45.42 inference(bind,[status(th)],[])).
% 72.59/45.42 tff(6534,plain,
% 72.59/45.42 (![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr))) <=> ![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))),
% 72.59/45.42 inference(quant_intro,[status(thm)],[6533])).
% 72.59/45.42 tff(6535,plain,
% 72.59/45.42 (![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr))) <=> ![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6536,plain,
% 72.59/45.42 (^[VarCurr: $i] : trans(monotonicity(rewrite((v231(VarCurr) | v221(VarCurr)) <=> (v221(VarCurr) | v231(VarCurr))), (((v231(VarCurr) | v221(VarCurr)) | (~v243(VarCurr))) <=> ((v221(VarCurr) | v231(VarCurr)) | (~v243(VarCurr))))), rewrite(((v221(VarCurr) | v231(VarCurr)) | (~v243(VarCurr))) <=> (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))), (((v231(VarCurr) | v221(VarCurr)) | (~v243(VarCurr))) <=> (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))))),
% 72.59/45.42 inference(bind,[status(th)],[])).
% 72.59/45.42 tff(6537,plain,
% 72.59/45.42 (![VarCurr: $i] : ((v231(VarCurr) | v221(VarCurr)) | (~v243(VarCurr))) <=> ![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))),
% 72.59/45.42 inference(quant_intro,[status(thm)],[6536])).
% 72.59/45.42 tff(6538,axiom,(![VarCurr: $i] : ((v231(VarCurr) | v221(VarCurr)) | (~v243(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_69_1_3')).
% 72.59/45.42 tff(6539,plain,
% 72.59/45.42 (![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6538, 6537])).
% 72.59/45.42 tff(6540,plain,
% 72.59/45.42 (![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6539, 6535])).
% 72.59/45.42 tff(6541,plain,(
% 72.59/45.42 ![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))),
% 72.59/45.42 inference(skolemize,[status(sab)],[6540])).
% 72.59/45.42 tff(6542,plain,
% 72.59/45.42 (![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6541, 6534])).
% 72.59/45.42 tff(6543,plain,
% 72.59/45.42 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB35) | v231(constB35) | (~v243(constB35)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB35) | v231(constB35) | (~v243(constB35)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6544,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB35) | v231(constB35) | (~v243(constB35)))),
% 72.59/45.42 inference(quant_inst,[status(thm)],[])).
% 72.59/45.42 tff(6545,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB35) | v231(constB35) | (~v243(constB35))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6544, 6543])).
% 72.59/45.42 tff(6546,plain,
% 72.59/45.42 (~v243(constB35)),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6545, 6542, 6532, 6521])).
% 72.59/45.42 tff(6547,plain,
% 72.59/45.42 (^[VarCurr: $i] : refl((v243(VarCurr) | v255(VarCurr)) <=> (v243(VarCurr) | v255(VarCurr)))),
% 72.59/45.42 inference(bind,[status(th)],[])).
% 72.59/45.42 tff(6548,plain,
% 72.59/45.42 (![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr)) <=> ![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))),
% 72.59/45.42 inference(quant_intro,[status(thm)],[6547])).
% 72.59/45.42 tff(6549,plain,
% 72.59/45.42 (![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr)) <=> ![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6550,axiom,(![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_70_1_1_2')).
% 72.59/45.42 tff(6551,plain,
% 72.59/45.42 (![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6550, 6549])).
% 72.59/45.42 tff(6552,plain,(
% 72.59/45.42 ![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))),
% 72.59/45.42 inference(skolemize,[status(sab)],[6551])).
% 72.59/45.42 tff(6553,plain,
% 72.59/45.42 (![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6552, 6548])).
% 72.59/45.42 tff(6554,plain,
% 72.59/45.42 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB35) | v255(constB35))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB35) | v255(constB35))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6555,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB35) | v255(constB35))),
% 72.59/45.42 inference(quant_inst,[status(thm)],[])).
% 72.59/45.42 tff(6556,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB35) | v255(constB35)),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6555, 6554])).
% 72.59/45.42 tff(6557,plain,
% 72.59/45.42 (v255(constB35)),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6556, 6553, 6546])).
% 72.59/45.42 tff(6558,plain,
% 72.59/45.42 (^[VarCurr: $i] : refl(((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2))) <=> ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2))))),
% 72.59/45.42 inference(bind,[status(th)],[])).
% 72.59/45.42 tff(6559,plain,
% 72.59/45.42 (![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))),
% 72.59/45.42 inference(quant_intro,[status(thm)],[6558])).
% 72.59/45.42 tff(6560,plain,
% 72.59/45.42 (![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6561,axiom,(![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_27_1_1')).
% 72.59/45.42 tff(6562,plain,
% 72.59/45.42 (![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6561, 6560])).
% 72.59/45.42 tff(6563,plain,(
% 72.59/45.42 ![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))),
% 72.59/45.42 inference(skolemize,[status(sab)],[6562])).
% 72.59/45.42 tff(6564,plain,
% 72.59/45.42 (![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6563, 6559])).
% 72.59/45.42 tff(6565,plain,
% 72.59/45.42 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB35)) | (~v216(constB35, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB35)) | (~v216(constB35, bitIndex2)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6566,plain,
% 72.59/45.42 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB35)) | (~v216(constB35, bitIndex2)))),
% 72.59/45.42 inference(quant_inst,[status(thm)],[])).
% 72.59/45.42 tff(6567,plain,
% 72.59/45.42 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB35)) | (~v216(constB35, bitIndex2))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6566, 6565])).
% 72.59/45.42 tff(6568,plain,
% 72.59/45.42 (~v216(constB35, bitIndex2)),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6567, 6564, 6557])).
% 72.59/45.42 tff(6569,plain,
% 72.59/45.42 (^[VarCurr: $i] : refl((v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr))) <=> (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr))))),
% 72.59/45.42 inference(bind,[status(th)],[])).
% 72.59/45.42 tff(6570,plain,
% 72.59/45.42 (![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr))) <=> ![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))),
% 72.59/45.42 inference(quant_intro,[status(thm)],[6569])).
% 72.59/45.42 tff(6571,plain,
% 72.59/45.42 (![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr))) <=> ![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6572,plain,
% 72.59/45.42 (^[VarCurr: $i] : trans(monotonicity(rewrite((v216(VarCurr, bitIndex2) | v254(VarCurr)) <=> (v216(VarCurr, bitIndex2) | v254(VarCurr))), (((v216(VarCurr, bitIndex2) | v254(VarCurr)) | (~v215(VarCurr))) <=> ((v216(VarCurr, bitIndex2) | v254(VarCurr)) | (~v215(VarCurr))))), rewrite(((v216(VarCurr, bitIndex2) | v254(VarCurr)) | (~v215(VarCurr))) <=> (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))), (((v216(VarCurr, bitIndex2) | v254(VarCurr)) | (~v215(VarCurr))) <=> (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))))),
% 72.59/45.42 inference(bind,[status(th)],[])).
% 72.59/45.42 tff(6573,plain,
% 72.59/45.42 (![VarCurr: $i] : ((v216(VarCurr, bitIndex2) | v254(VarCurr)) | (~v215(VarCurr))) <=> ![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))),
% 72.59/45.42 inference(quant_intro,[status(thm)],[6572])).
% 72.59/45.42 tff(6574,axiom,(![VarCurr: $i] : ((v216(VarCurr, bitIndex2) | v254(VarCurr)) | (~v215(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_78_1_1_1_1')).
% 72.59/45.42 tff(6575,plain,
% 72.59/45.42 (![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6574, 6573])).
% 72.59/45.42 tff(6576,plain,
% 72.59/45.42 (![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6575, 6571])).
% 72.59/45.42 tff(6577,plain,(
% 72.59/45.42 ![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))),
% 72.59/45.42 inference(skolemize,[status(sab)],[6576])).
% 72.59/45.42 tff(6578,plain,
% 72.59/45.42 (![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6577, 6570])).
% 72.59/45.42 tff(6579,plain,
% 72.59/45.42 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB35)) | v254(constB35) | v216(constB35, bitIndex2))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB35)) | v254(constB35) | v216(constB35, bitIndex2))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6580,plain,
% 72.59/45.42 ((v216(constB35, bitIndex2) | v254(constB35) | (~v215(constB35))) <=> ((~v215(constB35)) | v254(constB35) | v216(constB35, bitIndex2))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6581,plain,
% 72.59/45.42 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB35, bitIndex2) | v254(constB35) | (~v215(constB35)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB35)) | v254(constB35) | v216(constB35, bitIndex2)))),
% 72.59/45.42 inference(monotonicity,[status(thm)],[6580])).
% 72.59/45.42 tff(6582,plain,
% 72.59/45.42 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB35, bitIndex2) | v254(constB35) | (~v215(constB35)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB35)) | v254(constB35) | v216(constB35, bitIndex2))),
% 72.59/45.42 inference(transitivity,[status(thm)],[6581, 6579])).
% 72.59/45.42 tff(6583,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB35, bitIndex2) | v254(constB35) | (~v215(constB35)))),
% 72.59/45.42 inference(quant_inst,[status(thm)],[])).
% 72.59/45.42 tff(6584,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB35)) | v254(constB35) | v216(constB35, bitIndex2)),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6583, 6582])).
% 72.59/45.42 tff(6585,plain,
% 72.59/45.42 ((~v215(constB35)) | v254(constB35)),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6584, 6578, 6568])).
% 72.59/45.42 tff(6586,plain,
% 72.59/45.42 (~v215(constB35)),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6585, 6510])).
% 72.59/45.42 tff(6587,plain,
% 72.59/45.42 ($false),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6586, 29])).
% 72.59/45.42 tff(6588,plain,(~(constB35 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 72.59/45.42 tff(6589,assumption,(constB47 = sK0_VarCurr), introduced(assumption)).
% 72.59/45.42 tff(6590,plain,
% 72.59/45.42 (v215(constB47) <=> v215(sK0_VarCurr)),
% 72.59/45.42 inference(monotonicity,[status(thm)],[6589])).
% 72.59/45.42 tff(6591,plain,
% 72.59/45.42 (v215(sK0_VarCurr) <=> v215(constB47)),
% 72.59/45.42 inference(symmetry,[status(thm)],[6590])).
% 72.59/45.42 tff(6592,plain,
% 72.59/45.42 (v215(constB47)),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[28, 6591])).
% 72.59/45.42 tff(6593,plain,
% 72.59/45.42 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v124(constB35))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v124(constB35))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6594,plain,
% 72.59/45.42 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v124(constB35))),
% 72.59/45.42 inference(quant_inst,[status(thm)],[])).
% 72.59/45.42 tff(6595,plain,
% 72.59/45.42 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB35, bitIndex0)) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | v124(constB35)),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6594, 6593])).
% 72.59/45.42 tff(6596,plain,
% 72.59/45.42 (v124(constB35)),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6595, 1707, 6064, 6227, 6005])).
% 72.59/45.42 tff(6597,plain,
% 72.59/45.42 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB35) | (~v124(constB35)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB35) | (~v124(constB35)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6598,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB35) | (~v124(constB35)))),
% 72.59/45.42 inference(quant_inst,[status(thm)],[])).
% 72.59/45.42 tff(6599,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB35) | (~v124(constB35))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6598, 6597])).
% 72.59/45.42 tff(6600,plain,
% 72.59/45.42 (v114(constB35)),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6599, 1718, 6596])).
% 72.59/45.42 tff(6601,plain,
% 72.59/45.42 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB35) | (~v114(constB35)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB35) | (~v114(constB35)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6602,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB35) | (~v114(constB35)))),
% 72.59/45.42 inference(quant_inst,[status(thm)],[])).
% 72.59/45.42 tff(6603,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB35) | (~v114(constB35))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6602, 6601])).
% 72.59/45.42 tff(6604,plain,
% 72.59/45.42 (v113(constB35)),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6603, 287, 6600])).
% 72.59/45.42 tff(6605,assumption,(v26(constB35)), introduced(assumption)).
% 72.59/45.42 tff(6606,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB35))),
% 72.59/45.42 inference(quant_inst,[status(thm)],[])).
% 72.59/45.42 tff(6607,plain,
% 72.59/45.42 ($false),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6606, 37, 6605])).
% 72.59/45.42 tff(6608,plain,(~v26(constB35)), inference(lemma,lemma(discharge,[]))).
% 72.59/45.42 tff(6609,plain,
% 72.59/45.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | v112(constB35) | (~v113(constB35)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | v112(constB35) | (~v113(constB35)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6610,plain,
% 72.59/45.42 ((v26(constB35) | (~v113(constB35)) | v112(constB35)) <=> (v26(constB35) | v112(constB35) | (~v113(constB35)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6611,plain,
% 72.59/45.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | v112(constB35) | (~v113(constB35))))),
% 72.59/45.42 inference(monotonicity,[status(thm)],[6610])).
% 72.59/45.42 tff(6612,plain,
% 72.59/45.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | v112(constB35) | (~v113(constB35)))),
% 72.59/45.42 inference(transitivity,[status(thm)],[6611, 6609])).
% 72.59/45.42 tff(6613,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))),
% 72.59/45.42 inference(quant_inst,[status(thm)],[])).
% 72.59/45.42 tff(6614,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | v112(constB35) | (~v113(constB35))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6613, 6612])).
% 72.59/45.42 tff(6615,plain,
% 72.59/45.42 (v112(constB35) | (~v113(constB35))),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6614, 301, 6608])).
% 72.59/45.42 tff(6616,plain,
% 72.59/45.42 (v112(constB35)),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6615, 6604])).
% 72.59/45.42 tff(6617,plain,
% 72.59/45.42 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB35) | (~v112(constB35)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB35) | (~v112(constB35)))),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6618,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB35) | (~v112(constB35)))),
% 72.59/45.42 inference(quant_inst,[status(thm)],[])).
% 72.59/45.42 tff(6619,plain,
% 72.59/45.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB35) | (~v112(constB35))),
% 72.59/45.42 inference(modus_ponens,[status(thm)],[6618, 6617])).
% 72.59/45.42 tff(6620,plain,
% 72.59/45.42 (v108(constB35)),
% 72.59/45.42 inference(unit_resolution,[status(thm)],[6619, 210, 6616])).
% 72.59/45.42 tff(6621,plain,
% 72.59/45.42 (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 72.59/45.42 inference(rewrite,[status(thm)],[])).
% 72.59/45.42 tff(6622,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_35_1')).
% 72.59/45.43 tff(6623,plain,
% 72.59/45.43 (nextState(constB35, constB36)),
% 72.59/45.43 inference(modus_ponens,[status(thm)],[6622, 6621])).
% 72.59/45.43 tff(6624,plain,
% 72.59/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6625,plain,
% 72.59/45.43 (((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36)) <=> ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6626,plain,
% 72.59/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35))))),
% 72.59/45.43 inference(monotonicity,[status(thm)],[6625])).
% 72.59/45.43 tff(6627,plain,
% 72.59/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 72.59/45.43 inference(transitivity,[status(thm)],[6626, 6624])).
% 72.59/45.43 tff(6628,plain,
% 72.59/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))),
% 72.59/45.43 inference(quant_inst,[status(thm)],[])).
% 72.59/45.43 tff(6629,plain,
% 72.59/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35))),
% 72.59/45.43 inference(modus_ponens,[status(thm)],[6628, 6627])).
% 72.59/45.43 tff(6630,plain,
% 72.59/45.43 (v110(constB36) | (~v108(constB35))),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6629, 317, 6623])).
% 72.59/45.43 tff(6631,plain,
% 72.59/45.43 (v110(constB36)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6630, 6620])).
% 72.59/45.43 tff(6632,plain,
% 72.59/45.43 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6633,plain,
% 72.59/45.43 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))),
% 72.59/45.43 inference(quant_inst,[status(thm)],[])).
% 72.59/45.43 tff(6634,plain,
% 72.59/45.43 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36))),
% 72.59/45.43 inference(modus_ponens,[status(thm)],[6633, 6632])).
% 72.59/45.43 tff(6635,plain,
% 72.59/45.43 (~v104(constB36)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6634, 335, 6623, 5981])).
% 72.59/45.43 tff(6636,plain,
% 72.59/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6637,plain,
% 72.59/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))),
% 72.59/45.43 inference(quant_inst,[status(thm)],[])).
% 72.59/45.43 tff(6638,plain,
% 72.59/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v102(constB36) | v104(constB36)),
% 72.59/45.43 inference(modus_ponens,[status(thm)],[6637, 6636])).
% 72.59/45.43 tff(6639,plain,
% 72.59/45.43 (v102(constB36) | v104(constB36)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6638, 349, 6623])).
% 72.59/45.43 tff(6640,plain,
% 72.59/45.43 (v102(constB36)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6639, 6635])).
% 72.59/45.43 tff(6641,plain,
% 72.59/45.43 (v1(constB36) <=> v1(constB36)),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6642,axiom,(v1(constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_36_1')).
% 72.59/45.43 tff(6643,plain,
% 72.59/45.43 (v1(constB36)),
% 72.59/45.43 inference(modus_ponens,[status(thm)],[6642, 6641])).
% 72.59/45.43 tff(6644,plain,
% 72.59/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6645,plain,
% 72.59/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))),
% 72.59/45.43 inference(quant_inst,[status(thm)],[])).
% 72.59/45.43 tff(6646,plain,
% 72.59/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36))),
% 72.59/45.43 inference(modus_ponens,[status(thm)],[6645, 6644])).
% 72.59/45.43 tff(6647,plain,
% 72.59/45.43 (v101(constB36) | (~v102(constB36))),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6646, 367, 6623, 6643])).
% 72.59/45.43 tff(6648,plain,
% 72.59/45.43 (v101(constB36)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6647, 6640])).
% 72.59/45.43 tff(6649,plain,
% 72.59/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6650,plain,
% 72.59/45.43 (((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36)) <=> ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6651,plain,
% 72.59/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36))))),
% 72.59/45.43 inference(monotonicity,[status(thm)],[6650])).
% 72.59/45.43 tff(6652,plain,
% 72.59/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 72.59/45.43 inference(transitivity,[status(thm)],[6651, 6649])).
% 72.59/45.43 tff(6653,plain,
% 72.59/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))),
% 72.59/45.43 inference(quant_inst,[status(thm)],[])).
% 72.59/45.43 tff(6654,plain,
% 72.59/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36))),
% 72.59/45.43 inference(modus_ponens,[status(thm)],[6653, 6652])).
% 72.59/45.43 tff(6655,plain,
% 72.59/45.43 (v100(constB36) | (~v101(constB36)) | (~v110(constB36))),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6654, 382, 6623])).
% 72.59/45.43 tff(6656,plain,
% 72.59/45.43 (v100(constB36) | (~v110(constB36))),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6655, 6648])).
% 72.59/45.43 tff(6657,plain,
% 72.59/45.43 (v100(constB36)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6656, 6631])).
% 72.59/45.43 tff(6658,plain,
% 72.59/45.43 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB35)) | v130(constB35, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB35)) | v130(constB35, bitIndex2))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6659,plain,
% 72.59/45.43 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB35)) | v130(constB35, bitIndex2))),
% 72.59/45.43 inference(quant_inst,[status(thm)],[])).
% 72.59/45.43 tff(6660,plain,
% 72.59/45.43 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB35)) | v130(constB35, bitIndex2)),
% 72.59/45.43 inference(modus_ponens,[status(thm)],[6659, 6658])).
% 72.59/45.43 tff(6661,plain,
% 72.59/45.43 (v130(constB35, bitIndex2)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6660, 1786, 6596])).
% 72.59/45.43 tff(6662,plain,
% 72.59/45.43 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB35) | (~v130(constB35, bitIndex2)) | v127(constB35, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB35) | (~v130(constB35, bitIndex2)) | v127(constB35, bitIndex2))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6663,plain,
% 72.59/45.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB35) | (~v130(constB35, bitIndex2)) | v127(constB35, bitIndex2))),
% 72.59/45.43 inference(quant_inst,[status(thm)],[])).
% 72.59/45.43 tff(6664,plain,
% 72.59/45.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB35) | (~v130(constB35, bitIndex2)) | v127(constB35, bitIndex2)),
% 72.59/45.43 inference(modus_ponens,[status(thm)],[6663, 6662])).
% 72.59/45.43 tff(6665,plain,
% 72.59/45.43 ((~v130(constB35, bitIndex2)) | v127(constB35, bitIndex2)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6664, 1304, 6608])).
% 72.59/45.43 tff(6666,plain,
% 72.59/45.43 (v127(constB35, bitIndex2)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6665, 6661])).
% 72.59/45.43 tff(6667,plain,
% 72.59/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex2)) | v129(constB36, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex2)) | v129(constB36, bitIndex2))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6668,plain,
% 72.59/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex2)) | v129(constB36, bitIndex2))),
% 72.59/45.43 inference(quant_inst,[status(thm)],[])).
% 72.59/45.43 tff(6669,plain,
% 72.59/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex2)) | v129(constB36, bitIndex2)),
% 72.59/45.43 inference(modus_ponens,[status(thm)],[6668, 6667])).
% 72.59/45.43 tff(6670,plain,
% 72.59/45.43 ((~v127(constB35, bitIndex2)) | v129(constB36, bitIndex2)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6669, 1319, 6623])).
% 72.59/45.43 tff(6671,plain,
% 72.59/45.43 (v129(constB36, bitIndex2)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6670, 6666])).
% 72.59/45.43 tff(6672,plain,
% 72.59/45.43 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2)) | (~v100(constB36)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2)) | (~v100(constB36)))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6673,plain,
% 72.59/45.43 ((v90(constB36, bitIndex2) | (~v100(constB36)) | (~v129(constB36, bitIndex2))) <=> (v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2)) | (~v100(constB36)))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6674,plain,
% 72.59/45.43 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~v100(constB36)) | (~v129(constB36, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2)) | (~v100(constB36))))),
% 72.59/45.43 inference(monotonicity,[status(thm)],[6673])).
% 72.59/45.43 tff(6675,plain,
% 72.59/45.43 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~v100(constB36)) | (~v129(constB36, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2)) | (~v100(constB36)))),
% 72.59/45.43 inference(transitivity,[status(thm)],[6674, 6672])).
% 72.59/45.43 tff(6676,plain,
% 72.59/45.43 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB36, bitIndex2) | (~v100(constB36)) | (~v129(constB36, bitIndex2)))),
% 72.59/45.43 inference(quant_inst,[status(thm)],[])).
% 72.59/45.43 tff(6677,plain,
% 72.59/45.43 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2)) | (~v100(constB36))),
% 72.59/45.43 inference(modus_ponens,[status(thm)],[6676, 6675])).
% 72.59/45.43 tff(6678,plain,
% 72.59/45.43 (v90(constB36, bitIndex2) | (~v100(constB36))),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6677, 1334, 6671])).
% 72.59/45.43 tff(6679,plain,
% 72.59/45.43 (v90(constB36, bitIndex2)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6678, 6657])).
% 72.59/45.43 tff(6680,plain,
% 72.59/45.43 ((~v1(constB37)) <=> (~v1(constB37))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6681,axiom,(~v1(constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_37_1_1')).
% 72.59/45.43 tff(6682,plain,
% 72.59/45.43 (~v1(constB37)),
% 72.59/45.43 inference(modus_ponens,[status(thm)],[6681, 6680])).
% 72.59/45.43 tff(6683,plain,
% 72.59/45.43 (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6684,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_36_1')).
% 72.59/45.43 tff(6685,plain,
% 72.59/45.43 (nextState(constB36, constB37)),
% 72.59/45.43 inference(modus_ponens,[status(thm)],[6684, 6683])).
% 72.59/45.43 tff(6686,plain,
% 72.59/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6687,plain,
% 72.59/45.43 (((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37)) <=> (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6688,plain,
% 72.59/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37))))),
% 72.59/45.43 inference(monotonicity,[status(thm)],[6687])).
% 72.59/45.43 tff(6689,plain,
% 72.59/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 72.59/45.43 inference(transitivity,[status(thm)],[6688, 6686])).
% 72.59/45.43 tff(6690,plain,
% 72.59/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))),
% 72.59/45.43 inference(quant_inst,[status(thm)],[])).
% 72.59/45.43 tff(6691,plain,
% 72.59/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37))),
% 72.59/45.43 inference(modus_ponens,[status(thm)],[6690, 6689])).
% 72.59/45.43 tff(6692,plain,
% 72.59/45.43 (~v101(constB37)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6691, 56, 6685, 6682])).
% 72.59/45.43 tff(6693,plain,
% 72.59/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6694,plain,
% 72.59/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))),
% 72.59/45.43 inference(quant_inst,[status(thm)],[])).
% 72.59/45.43 tff(6695,plain,
% 72.59/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37))),
% 72.59/45.43 inference(modus_ponens,[status(thm)],[6694, 6693])).
% 72.59/45.43 tff(6696,plain,
% 72.59/45.43 (v101(constB37) | (~v100(constB37))),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6695, 73, 6685])).
% 72.59/45.43 tff(6697,plain,
% 72.59/45.43 (~v100(constB37)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6696, 6692])).
% 72.59/45.43 tff(6698,plain,
% 72.59/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex2))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6699,plain,
% 72.59/45.43 (((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex2)) | v100(constB37) | v90(constB37, bitIndex2)) <=> ((~v90(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex2))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6700,plain,
% 72.59/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex2)) | v100(constB37) | v90(constB37, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex2)))),
% 72.59/45.43 inference(monotonicity,[status(thm)],[6699])).
% 72.59/45.43 tff(6701,plain,
% 72.59/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex2)) | v100(constB37) | v90(constB37, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex2))),
% 72.59/45.43 inference(transitivity,[status(thm)],[6700, 6698])).
% 72.59/45.43 tff(6702,plain,
% 72.59/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex2)) | v100(constB37) | v90(constB37, bitIndex2))),
% 72.59/45.43 inference(quant_inst,[status(thm)],[])).
% 72.59/45.43 tff(6703,plain,
% 72.59/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex2)),
% 72.59/45.43 inference(modus_ponens,[status(thm)],[6702, 6701])).
% 72.59/45.43 tff(6704,plain,
% 72.59/45.43 ((~v90(constB36, bitIndex2)) | v100(constB37) | v90(constB37, bitIndex2)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6703, 1370, 6685])).
% 72.59/45.43 tff(6705,plain,
% 72.59/45.43 ((~v90(constB36, bitIndex2)) | v90(constB37, bitIndex2)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6704, 6697])).
% 72.59/45.43 tff(6706,plain,
% 72.59/45.43 (v90(constB37, bitIndex2)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6705, 6679])).
% 72.59/45.43 tff(6707,plain,
% 72.59/45.43 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB35)) | v130(constB35, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB35)) | v130(constB35, bitIndex1))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6708,plain,
% 72.59/45.43 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB35)) | v130(constB35, bitIndex1))),
% 72.59/45.43 inference(quant_inst,[status(thm)],[])).
% 72.59/45.43 tff(6709,plain,
% 72.59/45.43 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB35)) | v130(constB35, bitIndex1)),
% 72.59/45.43 inference(modus_ponens,[status(thm)],[6708, 6707])).
% 72.59/45.43 tff(6710,plain,
% 72.59/45.43 (v130(constB35, bitIndex1)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6709, 1867, 6596])).
% 72.59/45.43 tff(6711,plain,
% 72.59/45.43 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB35) | (~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB35) | (~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6712,plain,
% 72.59/45.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB35) | (~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1))),
% 72.59/45.43 inference(quant_inst,[status(thm)],[])).
% 72.59/45.43 tff(6713,plain,
% 72.59/45.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB35) | (~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1)),
% 72.59/45.43 inference(modus_ponens,[status(thm)],[6712, 6711])).
% 72.59/45.43 tff(6714,plain,
% 72.59/45.43 ((~v130(constB35, bitIndex1)) | v127(constB35, bitIndex1)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6713, 824, 6608])).
% 72.59/45.43 tff(6715,plain,
% 72.59/45.43 (v127(constB35, bitIndex1)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6714, 6710])).
% 72.59/45.43 tff(6716,plain,
% 72.59/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6717,plain,
% 72.59/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1))),
% 72.59/45.43 inference(quant_inst,[status(thm)],[])).
% 72.59/45.43 tff(6718,plain,
% 72.59/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1)),
% 72.59/45.43 inference(modus_ponens,[status(thm)],[6717, 6716])).
% 72.59/45.43 tff(6719,plain,
% 72.59/45.43 ((~v127(constB35, bitIndex1)) | v129(constB36, bitIndex1)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6718, 839, 6623])).
% 72.59/45.43 tff(6720,plain,
% 72.59/45.43 (v129(constB36, bitIndex1)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6719, 6715])).
% 72.59/45.43 tff(6721,plain,
% 72.59/45.43 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36)))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6722,plain,
% 72.59/45.43 ((v90(constB36, bitIndex1) | (~v100(constB36)) | (~v129(constB36, bitIndex1))) <=> (v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36)))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6723,plain,
% 72.59/45.43 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~v100(constB36)) | (~v129(constB36, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36))))),
% 72.59/45.43 inference(monotonicity,[status(thm)],[6722])).
% 72.59/45.43 tff(6724,plain,
% 72.59/45.43 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~v100(constB36)) | (~v129(constB36, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36)))),
% 72.59/45.43 inference(transitivity,[status(thm)],[6723, 6721])).
% 72.59/45.43 tff(6725,plain,
% 72.59/45.43 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB36, bitIndex1) | (~v100(constB36)) | (~v129(constB36, bitIndex1)))),
% 72.59/45.43 inference(quant_inst,[status(thm)],[])).
% 72.59/45.43 tff(6726,plain,
% 72.59/45.43 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1)) | (~v100(constB36))),
% 72.59/45.43 inference(modus_ponens,[status(thm)],[6725, 6724])).
% 72.59/45.43 tff(6727,plain,
% 72.59/45.43 (v90(constB36, bitIndex1) | (~v100(constB36))),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6726, 854, 6720])).
% 72.59/45.43 tff(6728,plain,
% 72.59/45.43 (v90(constB36, bitIndex1)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6727, 6657])).
% 72.59/45.43 tff(6729,plain,
% 72.59/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6730,plain,
% 72.59/45.43 (((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1)) <=> ((~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6731,plain,
% 72.59/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1)))),
% 72.59/45.43 inference(monotonicity,[status(thm)],[6730])).
% 72.59/45.43 tff(6732,plain,
% 72.59/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1))),
% 72.59/45.43 inference(transitivity,[status(thm)],[6731, 6729])).
% 72.59/45.43 tff(6733,plain,
% 72.59/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1))),
% 72.59/45.43 inference(quant_inst,[status(thm)],[])).
% 72.59/45.43 tff(6734,plain,
% 72.59/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex1)),
% 72.59/45.43 inference(modus_ponens,[status(thm)],[6733, 6732])).
% 72.59/45.43 tff(6735,plain,
% 72.59/45.43 ((~v90(constB36, bitIndex1)) | v100(constB37) | v90(constB37, bitIndex1)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6734, 872, 6685])).
% 72.59/45.43 tff(6736,plain,
% 72.59/45.43 ((~v90(constB36, bitIndex1)) | v90(constB37, bitIndex1)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6735, 6697])).
% 72.59/45.43 tff(6737,plain,
% 72.59/45.43 (v90(constB37, bitIndex1)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6736, 6728])).
% 72.59/45.43 tff(6738,plain,
% 72.59/45.43 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB35)) | (~v130(constB35, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB35)) | (~v130(constB35, bitIndex0)))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6739,plain,
% 72.59/45.43 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB35)) | (~v130(constB35, bitIndex0)))),
% 72.59/45.43 inference(quant_inst,[status(thm)],[])).
% 72.59/45.43 tff(6740,plain,
% 72.59/45.43 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB35)) | (~v130(constB35, bitIndex0))),
% 72.59/45.43 inference(modus_ponens,[status(thm)],[6739, 6738])).
% 72.59/45.43 tff(6741,plain,
% 72.59/45.43 (~v130(constB35, bitIndex0)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6740, 1992, 6596])).
% 72.59/45.43 tff(6742,plain,
% 72.59/45.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6743,plain,
% 72.59/45.43 ((v26(constB35) | v130(constB35, bitIndex0) | (~v127(constB35, bitIndex0))) <=> ((~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6744,plain,
% 72.59/45.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB35) | v130(constB35, bitIndex0) | (~v127(constB35, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0)))),
% 72.59/45.43 inference(monotonicity,[status(thm)],[6743])).
% 72.59/45.43 tff(6745,plain,
% 72.59/45.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB35) | v130(constB35, bitIndex0) | (~v127(constB35, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0))),
% 72.59/45.43 inference(transitivity,[status(thm)],[6744, 6742])).
% 72.59/45.43 tff(6746,plain,
% 72.59/45.43 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB35) | v130(constB35, bitIndex0) | (~v127(constB35, bitIndex0)))),
% 72.59/45.43 inference(quant_inst,[status(thm)],[])).
% 72.59/45.43 tff(6747,plain,
% 72.59/45.43 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB35, bitIndex0)) | v26(constB35) | v130(constB35, bitIndex0)),
% 72.59/45.43 inference(modus_ponens,[status(thm)],[6746, 6745])).
% 72.59/45.43 tff(6748,plain,
% 72.59/45.43 ((~v127(constB35, bitIndex0)) | v130(constB35, bitIndex0)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6747, 905, 6608])).
% 72.59/45.43 tff(6749,plain,
% 72.59/45.43 (~v127(constB35, bitIndex0)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6748, 6741])).
% 72.59/45.43 tff(6750,plain,
% 72.59/45.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB35, constB36)) | v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB35, constB36)) | v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0)))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6751,plain,
% 72.59/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB35, constB36)) | v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0)))),
% 72.59/45.43 inference(quant_inst,[status(thm)],[])).
% 72.59/45.43 tff(6752,plain,
% 72.59/45.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB35, constB36)) | v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0))),
% 72.59/45.43 inference(modus_ponens,[status(thm)],[6751, 6750])).
% 72.59/45.43 tff(6753,plain,
% 72.59/45.43 (v127(constB35, bitIndex0) | (~v129(constB36, bitIndex0))),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6752, 923, 6623])).
% 72.59/45.43 tff(6754,plain,
% 72.59/45.43 (~v129(constB36, bitIndex0)),
% 72.59/45.43 inference(unit_resolution,[status(thm)],[6753, 6749])).
% 72.59/45.43 tff(6755,plain,
% 72.59/45.43 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36)))),
% 72.59/45.43 inference(rewrite,[status(thm)],[])).
% 72.59/45.43 tff(6756,plain,
% 72.59/45.43 (((~v90(constB36, bitIndex0)) | (~v100(constB36)) | v129(constB36, bitIndex0)) <=> ((~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36)))),
% 72.59/45.44 inference(rewrite,[status(thm)],[])).
% 72.59/45.44 tff(6757,plain,
% 72.59/45.44 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | (~v100(constB36)) | v129(constB36, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36))))),
% 72.59/45.44 inference(monotonicity,[status(thm)],[6756])).
% 72.59/45.44 tff(6758,plain,
% 72.59/45.44 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | (~v100(constB36)) | v129(constB36, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36)))),
% 72.59/45.44 inference(transitivity,[status(thm)],[6757, 6755])).
% 72.59/45.44 tff(6759,plain,
% 72.59/45.44 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB36, bitIndex0)) | (~v100(constB36)) | v129(constB36, bitIndex0))),
% 72.59/45.44 inference(quant_inst,[status(thm)],[])).
% 72.59/45.44 tff(6760,plain,
% 72.59/45.44 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0) | (~v100(constB36))),
% 72.59/45.44 inference(modus_ponens,[status(thm)],[6759, 6758])).
% 72.59/45.44 tff(6761,plain,
% 72.59/45.44 ((~v90(constB36, bitIndex0)) | (~v100(constB36))),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6760, 938, 6754])).
% 72.59/45.44 tff(6762,plain,
% 72.59/45.44 (~v90(constB36, bitIndex0)),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6761, 6657])).
% 72.59/45.44 tff(6763,plain,
% 72.59/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0)))),
% 72.59/45.44 inference(rewrite,[status(thm)],[])).
% 72.59/45.44 tff(6764,plain,
% 72.59/45.44 (((~nextState(constB36, constB37)) | v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0))) <=> (v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0)))),
% 72.59/45.44 inference(rewrite,[status(thm)],[])).
% 72.59/45.44 tff(6765,plain,
% 72.59/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0))))),
% 72.59/45.44 inference(monotonicity,[status(thm)],[6764])).
% 72.59/45.44 tff(6766,plain,
% 72.59/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0)))),
% 72.59/45.44 inference(transitivity,[status(thm)],[6765, 6763])).
% 72.59/45.44 tff(6767,plain,
% 72.59/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB36, constB37)) | v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0)))),
% 72.59/45.44 inference(quant_inst,[status(thm)],[])).
% 72.59/45.44 tff(6768,plain,
% 72.59/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex0))),
% 72.59/45.44 inference(modus_ponens,[status(thm)],[6767, 6766])).
% 72.59/45.44 tff(6769,plain,
% 72.59/45.44 (v90(constB36, bitIndex0) | v100(constB37) | (~v90(constB37, bitIndex0))),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6768, 130, 6685])).
% 72.59/45.44 tff(6770,plain,
% 72.59/45.44 (v90(constB36, bitIndex0) | (~v90(constB37, bitIndex0))),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6769, 6697])).
% 72.59/45.44 tff(6771,plain,
% 72.59/45.44 (~v90(constB37, bitIndex0)),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6770, 6762])).
% 72.59/45.44 tff(6772,plain,
% 72.59/45.44 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)) | v125(constB37))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)) | v125(constB37))),
% 72.59/45.44 inference(rewrite,[status(thm)],[])).
% 72.59/45.44 tff(6773,plain,
% 72.59/45.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)) | v125(constB37))),
% 72.59/45.44 inference(quant_inst,[status(thm)],[])).
% 72.59/45.44 tff(6774,plain,
% 72.59/45.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)) | v125(constB37)),
% 72.59/45.44 inference(modus_ponens,[status(thm)],[6773, 6772])).
% 72.59/45.44 tff(6775,plain,
% 72.59/45.44 (v125(constB37)),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6774, 2036, 6771, 6737, 6706])).
% 72.59/45.44 tff(6776,plain,
% 72.59/45.44 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB37) | (~v125(constB37)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB37) | (~v125(constB37)))),
% 72.59/45.44 inference(rewrite,[status(thm)],[])).
% 72.59/45.44 tff(6777,plain,
% 72.59/45.44 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB37) | (~v125(constB37)))),
% 72.59/45.44 inference(quant_inst,[status(thm)],[])).
% 72.59/45.44 tff(6778,plain,
% 72.59/45.44 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB37) | (~v125(constB37))),
% 72.59/45.44 inference(modus_ponens,[status(thm)],[6777, 6776])).
% 72.59/45.44 tff(6779,plain,
% 72.59/45.44 (v113(constB37)),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6778, 2047, 6775])).
% 72.59/45.44 tff(6780,assumption,(v26(constB37)), introduced(assumption)).
% 72.59/45.44 tff(6781,plain,
% 72.59/45.44 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB37))),
% 72.59/45.44 inference(quant_inst,[status(thm)],[])).
% 72.59/45.44 tff(6782,plain,
% 72.59/45.44 ($false),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6781, 37, 6780])).
% 72.59/45.44 tff(6783,plain,(~v26(constB37)), inference(lemma,lemma(discharge,[]))).
% 72.59/45.44 tff(6784,plain,
% 72.59/45.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | (~v113(constB37)) | v112(constB37))),
% 72.59/45.44 inference(rewrite,[status(thm)],[])).
% 72.59/45.44 tff(6785,plain,
% 72.59/45.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))),
% 72.59/45.44 inference(quant_inst,[status(thm)],[])).
% 72.59/45.44 tff(6786,plain,
% 72.59/45.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | (~v113(constB37)) | v112(constB37)),
% 72.59/45.44 inference(modus_ponens,[status(thm)],[6785, 6784])).
% 72.59/45.44 tff(6787,plain,
% 72.59/45.44 ((~v113(constB37)) | v112(constB37)),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6786, 301, 6783])).
% 72.59/45.44 tff(6788,plain,
% 72.59/45.44 (v112(constB37)),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6787, 6779])).
% 72.59/45.44 tff(6789,plain,
% 72.59/45.44 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB37) | (~v112(constB37)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB37) | (~v112(constB37)))),
% 72.59/45.44 inference(rewrite,[status(thm)],[])).
% 72.59/45.44 tff(6790,plain,
% 72.59/45.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB37) | (~v112(constB37)))),
% 72.59/45.44 inference(quant_inst,[status(thm)],[])).
% 72.59/45.44 tff(6791,plain,
% 72.59/45.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB37) | (~v112(constB37))),
% 72.59/45.44 inference(modus_ponens,[status(thm)],[6790, 6789])).
% 72.59/45.44 tff(6792,plain,
% 72.59/45.44 (v108(constB37)),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6791, 210, 6788])).
% 72.59/45.44 tff(6793,plain,
% 72.59/45.44 (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 72.59/45.44 inference(rewrite,[status(thm)],[])).
% 72.59/45.44 tff(6794,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_37_1')).
% 72.59/45.44 tff(6795,plain,
% 72.59/45.44 (nextState(constB37, constB38)),
% 72.59/45.44 inference(modus_ponens,[status(thm)],[6794, 6793])).
% 72.59/45.44 tff(6796,plain,
% 72.59/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 72.59/45.44 inference(rewrite,[status(thm)],[])).
% 72.59/45.44 tff(6797,plain,
% 72.59/45.44 (((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38)) <=> ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 72.59/45.44 inference(rewrite,[status(thm)],[])).
% 72.59/45.44 tff(6798,plain,
% 72.59/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37))))),
% 72.59/45.44 inference(monotonicity,[status(thm)],[6797])).
% 72.59/45.44 tff(6799,plain,
% 72.59/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 72.59/45.44 inference(transitivity,[status(thm)],[6798, 6796])).
% 72.59/45.44 tff(6800,plain,
% 72.59/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))),
% 72.59/45.44 inference(quant_inst,[status(thm)],[])).
% 72.59/45.44 tff(6801,plain,
% 72.59/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37))),
% 72.59/45.44 inference(modus_ponens,[status(thm)],[6800, 6799])).
% 72.59/45.44 tff(6802,plain,
% 72.59/45.44 (v110(constB38) | (~v108(constB37))),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6801, 317, 6795])).
% 72.59/45.44 tff(6803,plain,
% 72.59/45.44 (v110(constB38)),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6802, 6792])).
% 72.59/45.44 tff(6804,plain,
% 72.59/45.44 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))),
% 72.59/45.44 inference(rewrite,[status(thm)],[])).
% 72.59/45.44 tff(6805,plain,
% 72.59/45.44 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))),
% 72.59/45.44 inference(quant_inst,[status(thm)],[])).
% 72.59/45.44 tff(6806,plain,
% 72.59/45.44 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38))),
% 72.59/45.44 inference(modus_ponens,[status(thm)],[6805, 6804])).
% 72.59/45.44 tff(6807,plain,
% 72.59/45.44 (~v104(constB38)),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6806, 335, 6795, 6682])).
% 72.59/45.44 tff(6808,plain,
% 72.59/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))),
% 72.59/45.44 inference(rewrite,[status(thm)],[])).
% 72.59/45.44 tff(6809,plain,
% 72.59/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))),
% 72.59/45.44 inference(quant_inst,[status(thm)],[])).
% 72.59/45.44 tff(6810,plain,
% 72.59/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v102(constB38) | v104(constB38)),
% 72.59/45.44 inference(modus_ponens,[status(thm)],[6809, 6808])).
% 72.59/45.44 tff(6811,plain,
% 72.59/45.44 (v102(constB38) | v104(constB38)),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6810, 349, 6795])).
% 72.59/45.44 tff(6812,plain,
% 72.59/45.44 (v102(constB38)),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6811, 6807])).
% 72.59/45.44 tff(6813,plain,
% 72.59/45.44 (v1(constB38) <=> v1(constB38)),
% 72.59/45.44 inference(rewrite,[status(thm)],[])).
% 72.59/45.44 tff(6814,axiom,(v1(constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_38_1')).
% 72.59/45.44 tff(6815,plain,
% 72.59/45.44 (v1(constB38)),
% 72.59/45.44 inference(modus_ponens,[status(thm)],[6814, 6813])).
% 72.59/45.44 tff(6816,plain,
% 72.59/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))),
% 72.59/45.44 inference(rewrite,[status(thm)],[])).
% 72.59/45.44 tff(6817,plain,
% 72.59/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))),
% 72.59/45.44 inference(quant_inst,[status(thm)],[])).
% 72.59/45.44 tff(6818,plain,
% 72.59/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38))),
% 72.59/45.44 inference(modus_ponens,[status(thm)],[6817, 6816])).
% 72.59/45.44 tff(6819,plain,
% 72.59/45.44 (v101(constB38) | (~v102(constB38))),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6818, 367, 6795, 6815])).
% 72.59/45.44 tff(6820,plain,
% 72.59/45.44 (v101(constB38)),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6819, 6812])).
% 72.59/45.44 tff(6821,plain,
% 72.59/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 72.59/45.44 inference(rewrite,[status(thm)],[])).
% 72.59/45.44 tff(6822,plain,
% 72.59/45.44 (((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38)) <=> ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 72.59/45.44 inference(rewrite,[status(thm)],[])).
% 72.59/45.44 tff(6823,plain,
% 72.59/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38))))),
% 72.59/45.44 inference(monotonicity,[status(thm)],[6822])).
% 72.59/45.44 tff(6824,plain,
% 72.59/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 72.59/45.44 inference(transitivity,[status(thm)],[6823, 6821])).
% 72.59/45.44 tff(6825,plain,
% 72.59/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))),
% 72.59/45.44 inference(quant_inst,[status(thm)],[])).
% 72.59/45.44 tff(6826,plain,
% 72.59/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38))),
% 72.59/45.44 inference(modus_ponens,[status(thm)],[6825, 6824])).
% 72.59/45.44 tff(6827,plain,
% 72.59/45.44 (v100(constB38) | (~v101(constB38)) | (~v110(constB38))),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6826, 382, 6795])).
% 72.59/45.44 tff(6828,plain,
% 72.59/45.44 (v100(constB38) | (~v110(constB38))),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6827, 6820])).
% 72.59/45.44 tff(6829,plain,
% 72.59/45.44 (v100(constB38)),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6828, 6803])).
% 72.59/45.44 tff(6830,plain,
% 72.59/45.44 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB37, bitIndex2)) | (~v121(constB37)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB37, bitIndex2)) | (~v121(constB37)))),
% 72.59/45.44 inference(rewrite,[status(thm)],[])).
% 72.59/45.44 tff(6831,plain,
% 72.59/45.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB37, bitIndex2)) | (~v121(constB37)))),
% 72.59/45.44 inference(quant_inst,[status(thm)],[])).
% 72.59/45.44 tff(6832,plain,
% 72.59/45.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB37, bitIndex2)) | (~v121(constB37))),
% 72.59/45.44 inference(modus_ponens,[status(thm)],[6831, 6830])).
% 72.59/45.44 tff(6833,plain,
% 72.59/45.44 (~v121(constB37)),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6832, 1842, 6706])).
% 72.59/45.44 tff(6834,plain,
% 72.59/45.44 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB37, bitIndex2)) | (~v122(constB37)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB37, bitIndex2)) | (~v122(constB37)))),
% 72.59/45.44 inference(rewrite,[status(thm)],[])).
% 72.59/45.44 tff(6835,plain,
% 72.59/45.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB37, bitIndex2)) | (~v122(constB37)))),
% 72.59/45.44 inference(quant_inst,[status(thm)],[])).
% 72.59/45.44 tff(6836,plain,
% 72.59/45.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB37, bitIndex2)) | (~v122(constB37))),
% 72.59/45.44 inference(modus_ponens,[status(thm)],[6835, 6834])).
% 72.59/45.44 tff(6837,plain,
% 72.59/45.44 (~v122(constB37)),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6836, 1853, 6706])).
% 72.59/45.44 tff(6838,plain,
% 72.59/45.44 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB37)) | (~v90(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB37)) | (~v90(constB37, bitIndex1)))),
% 72.59/45.44 inference(rewrite,[status(thm)],[])).
% 72.59/45.44 tff(6839,plain,
% 72.59/45.44 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB37)) | (~v90(constB37, bitIndex1)))),
% 72.59/45.44 inference(quant_inst,[status(thm)],[])).
% 72.59/45.44 tff(6840,plain,
% 72.59/45.44 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB37)) | (~v90(constB37, bitIndex1))),
% 72.59/45.44 inference(modus_ponens,[status(thm)],[6839, 6838])).
% 72.59/45.44 tff(6841,plain,
% 72.59/45.44 (~v119(constB37)),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6840, 1908, 6737])).
% 72.59/45.44 tff(6842,plain,
% 72.59/45.44 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB37, bitIndex1)) | (~v120(constB37)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB37, bitIndex1)) | (~v120(constB37)))),
% 72.59/45.44 inference(rewrite,[status(thm)],[])).
% 72.59/45.44 tff(6843,plain,
% 72.59/45.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB37, bitIndex1)) | (~v120(constB37)))),
% 72.59/45.44 inference(quant_inst,[status(thm)],[])).
% 72.59/45.44 tff(6844,plain,
% 72.59/45.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB37, bitIndex1)) | (~v120(constB37))),
% 72.59/45.44 inference(modus_ponens,[status(thm)],[6843, 6842])).
% 72.59/45.44 tff(6845,plain,
% 72.59/45.44 (~v120(constB37)),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6844, 1919, 6737])).
% 72.59/45.44 tff(6846,plain,
% 72.59/45.44 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB37, bitIndex1)) | (~v123(constB37)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB37, bitIndex1)) | (~v123(constB37)))),
% 72.59/45.44 inference(rewrite,[status(thm)],[])).
% 72.59/45.44 tff(6847,plain,
% 72.59/45.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB37, bitIndex1)) | (~v123(constB37)))),
% 72.59/45.44 inference(quant_inst,[status(thm)],[])).
% 72.59/45.44 tff(6848,plain,
% 72.59/45.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB37, bitIndex1)) | (~v123(constB37))),
% 72.59/45.44 inference(modus_ponens,[status(thm)],[6847, 6846])).
% 72.59/45.44 tff(6849,plain,
% 72.59/45.44 (~v123(constB37)),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6848, 1930, 6737])).
% 72.59/45.44 tff(6850,plain,
% 72.59/45.44 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB37, bitIndex1)) | (~v124(constB37)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB37, bitIndex1)) | (~v124(constB37)))),
% 72.59/45.44 inference(rewrite,[status(thm)],[])).
% 72.59/45.44 tff(6851,plain,
% 72.59/45.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB37, bitIndex1)) | (~v124(constB37)))),
% 72.59/45.44 inference(quant_inst,[status(thm)],[])).
% 72.59/45.44 tff(6852,plain,
% 72.59/45.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB37, bitIndex1)) | (~v124(constB37))),
% 72.59/45.44 inference(modus_ponens,[status(thm)],[6851, 6850])).
% 72.59/45.44 tff(6853,plain,
% 72.59/45.44 (~v124(constB37)),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6852, 1941, 6737])).
% 72.59/45.44 tff(6854,plain,
% 72.59/45.44 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex2)))),
% 72.59/45.44 inference(rewrite,[status(thm)],[])).
% 72.59/45.44 tff(6855,plain,
% 72.59/45.44 ((v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex2))) <=> (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex2)))),
% 72.59/45.44 inference(rewrite,[status(thm)],[])).
% 72.59/45.44 tff(6856,plain,
% 72.59/45.44 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex2))))),
% 72.59/45.44 inference(monotonicity,[status(thm)],[6855])).
% 72.59/45.44 tff(6857,plain,
% 72.59/45.44 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex2)))),
% 72.59/45.44 inference(transitivity,[status(thm)],[6856, 6854])).
% 72.59/45.44 tff(6858,plain,
% 72.59/45.44 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex2)))),
% 72.59/45.44 inference(quant_inst,[status(thm)],[])).
% 72.59/45.44 tff(6859,plain,
% 72.59/45.44 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex2))),
% 72.59/45.44 inference(modus_ponens,[status(thm)],[6858, 6857])).
% 72.59/45.44 tff(6860,plain,
% 72.59/45.44 (~v130(constB37, bitIndex2)),
% 72.59/45.44 inference(unit_resolution,[status(thm)],[6859, 1955, 6853, 6849, 6845, 6841, 6837, 6833])).
% 72.59/45.44 tff(6861,plain,
% 72.59/45.44 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))),
% 72.59/45.44 inference(rewrite,[status(thm)],[])).
% 72.59/45.44 tff(6862,plain,
% 72.59/45.44 ((v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2))) <=> ((~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))),
% 72.59/45.44 inference(rewrite,[status(thm)],[])).
% 72.59/45.44 tff(6863,plain,
% 72.59/45.44 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2)))),
% 72.59/45.44 inference(monotonicity,[status(thm)],[6862])).
% 72.59/45.44 tff(6864,plain,
% 72.62/45.44 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))),
% 72.62/45.44 inference(transitivity,[status(thm)],[6863, 6861])).
% 72.62/45.44 tff(6865,plain,
% 72.62/45.44 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2)))),
% 72.62/45.44 inference(quant_inst,[status(thm)],[])).
% 72.62/45.44 tff(6866,plain,
% 72.62/45.44 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2)),
% 72.62/45.44 inference(modus_ponens,[status(thm)],[6865, 6864])).
% 72.62/45.44 tff(6867,plain,
% 72.62/45.44 ((~v127(constB37, bitIndex2)) | v130(constB37, bitIndex2)),
% 72.62/45.44 inference(unit_resolution,[status(thm)],[6866, 470, 6783])).
% 72.62/45.44 tff(6868,plain,
% 72.62/45.44 (~v127(constB37, bitIndex2)),
% 72.62/45.44 inference(unit_resolution,[status(thm)],[6867, 6860])).
% 72.62/45.44 tff(6869,plain,
% 72.62/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2)))),
% 72.62/45.44 inference(rewrite,[status(thm)],[])).
% 72.62/45.44 tff(6870,plain,
% 72.62/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2)))),
% 72.62/45.44 inference(quant_inst,[status(thm)],[])).
% 72.62/45.44 tff(6871,plain,
% 72.62/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2))),
% 72.62/45.44 inference(modus_ponens,[status(thm)],[6870, 6869])).
% 72.62/45.44 tff(6872,plain,
% 72.62/45.44 (v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2))),
% 72.62/45.44 inference(unit_resolution,[status(thm)],[6871, 488, 6795])).
% 72.62/45.44 tff(6873,plain,
% 72.62/45.44 (~v129(constB38, bitIndex2)),
% 72.62/45.44 inference(unit_resolution,[status(thm)],[6872, 6868])).
% 72.62/45.44 tff(6874,plain,
% 72.62/45.44 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))),
% 72.62/45.44 inference(rewrite,[status(thm)],[])).
% 72.62/45.44 tff(6875,plain,
% 72.62/45.44 (((~v90(constB38, bitIndex2)) | (~v100(constB38)) | v129(constB38, bitIndex2)) <=> ((~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))),
% 72.62/45.44 inference(rewrite,[status(thm)],[])).
% 72.62/45.44 tff(6876,plain,
% 72.62/45.44 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB38, bitIndex2)) | (~v100(constB38)) | v129(constB38, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38))))),
% 72.62/45.44 inference(monotonicity,[status(thm)],[6875])).
% 72.62/45.44 tff(6877,plain,
% 72.62/45.44 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB38, bitIndex2)) | (~v100(constB38)) | v129(constB38, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))),
% 72.62/45.44 inference(transitivity,[status(thm)],[6876, 6874])).
% 72.62/45.44 tff(6878,plain,
% 72.62/45.44 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB38, bitIndex2)) | (~v100(constB38)) | v129(constB38, bitIndex2))),
% 72.62/45.44 inference(quant_inst,[status(thm)],[])).
% 72.62/45.44 tff(6879,plain,
% 72.62/45.44 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38))),
% 72.62/45.44 inference(modus_ponens,[status(thm)],[6878, 6877])).
% 72.62/45.44 tff(6880,plain,
% 72.62/45.44 ((~v90(constB38, bitIndex2)) | (~v100(constB38))),
% 72.62/45.44 inference(unit_resolution,[status(thm)],[6879, 503, 6873])).
% 72.62/45.44 tff(6881,plain,
% 72.62/45.44 (~v90(constB38, bitIndex2)),
% 72.62/45.44 inference(unit_resolution,[status(thm)],[6880, 6829])).
% 72.62/45.44 tff(6882,plain,
% 72.62/45.44 ((~v1(constB39)) <=> (~v1(constB39))),
% 72.62/45.44 inference(rewrite,[status(thm)],[])).
% 72.62/45.44 tff(6883,axiom,(~v1(constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_39_1_1')).
% 72.62/45.44 tff(6884,plain,
% 72.62/45.44 (~v1(constB39)),
% 72.62/45.44 inference(modus_ponens,[status(thm)],[6883, 6882])).
% 72.62/45.44 tff(6885,plain,
% 72.62/45.44 (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 72.62/45.44 inference(rewrite,[status(thm)],[])).
% 72.62/45.44 tff(6886,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_38_1')).
% 72.62/45.44 tff(6887,plain,
% 72.62/45.44 (nextState(constB38, constB39)),
% 72.62/45.44 inference(modus_ponens,[status(thm)],[6886, 6885])).
% 72.62/45.44 tff(6888,plain,
% 72.62/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 72.62/45.44 inference(rewrite,[status(thm)],[])).
% 72.62/45.44 tff(6889,plain,
% 72.62/45.44 (((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39)) <=> (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 72.62/45.44 inference(rewrite,[status(thm)],[])).
% 72.62/45.44 tff(6890,plain,
% 72.62/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39))))),
% 72.62/45.44 inference(monotonicity,[status(thm)],[6889])).
% 72.62/45.44 tff(6891,plain,
% 72.62/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 72.62/45.44 inference(transitivity,[status(thm)],[6890, 6888])).
% 72.62/45.44 tff(6892,plain,
% 72.62/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))),
% 72.62/45.44 inference(quant_inst,[status(thm)],[])).
% 72.62/45.44 tff(6893,plain,
% 72.62/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39))),
% 72.62/45.44 inference(modus_ponens,[status(thm)],[6892, 6891])).
% 72.62/45.44 tff(6894,plain,
% 72.62/45.44 (~v101(constB39)),
% 72.62/45.44 inference(unit_resolution,[status(thm)],[6893, 56, 6887, 6884])).
% 72.62/45.44 tff(6895,plain,
% 72.62/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))),
% 72.62/45.44 inference(rewrite,[status(thm)],[])).
% 72.62/45.44 tff(6896,plain,
% 72.62/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))),
% 72.62/45.44 inference(quant_inst,[status(thm)],[])).
% 72.62/45.44 tff(6897,plain,
% 72.62/45.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39))),
% 72.62/45.44 inference(modus_ponens,[status(thm)],[6896, 6895])).
% 72.62/45.44 tff(6898,plain,
% 72.62/45.44 (v101(constB39) | (~v100(constB39))),
% 72.62/45.44 inference(unit_resolution,[status(thm)],[6897, 73, 6887])).
% 72.62/45.44 tff(6899,plain,
% 72.62/45.44 (~v100(constB39)),
% 72.62/45.44 inference(unit_resolution,[status(thm)],[6898, 6894])).
% 72.62/45.44 tff(6900,plain,
% 72.62/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 72.62/45.44 inference(rewrite,[status(thm)],[])).
% 72.62/45.44 tff(6901,plain,
% 72.62/45.44 (((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2))) <=> (v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 72.62/45.44 inference(rewrite,[status(thm)],[])).
% 72.62/45.44 tff(6902,plain,
% 72.62/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2))))),
% 72.62/45.44 inference(monotonicity,[status(thm)],[6901])).
% 72.62/45.44 tff(6903,plain,
% 72.62/45.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 72.62/45.45 inference(transitivity,[status(thm)],[6902, 6900])).
% 72.62/45.45 tff(6904,plain,
% 72.62/45.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 72.62/45.45 inference(quant_inst,[status(thm)],[])).
% 72.62/45.45 tff(6905,plain,
% 72.62/45.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2))),
% 72.62/45.45 inference(modus_ponens,[status(thm)],[6904, 6903])).
% 72.62/45.45 tff(6906,plain,
% 72.62/45.45 (v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2))),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6905, 88, 6887])).
% 72.62/45.45 tff(6907,plain,
% 72.62/45.45 (v90(constB38, bitIndex2) | (~v90(constB39, bitIndex2))),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6906, 6899])).
% 72.62/45.45 tff(6908,plain,
% 72.62/45.45 (~v90(constB39, bitIndex2)),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6907, 6881])).
% 72.62/45.45 tff(6909,plain,
% 72.62/45.45 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex1)))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(6910,plain,
% 72.62/45.45 ((v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex1))) <=> (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex1)))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(6911,plain,
% 72.62/45.45 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex1))))),
% 72.62/45.45 inference(monotonicity,[status(thm)],[6910])).
% 72.62/45.45 tff(6912,plain,
% 72.62/45.45 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex1)))),
% 72.62/45.45 inference(transitivity,[status(thm)],[6911, 6909])).
% 72.62/45.45 tff(6913,plain,
% 72.62/45.45 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, bitIndex1)))),
% 72.62/45.45 inference(quant_inst,[status(thm)],[])).
% 72.62/45.45 tff(6914,plain,
% 72.62/45.45 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~v130(constB37, bitIndex1))),
% 72.62/45.45 inference(modus_ponens,[status(thm)],[6913, 6912])).
% 72.62/45.45 tff(6915,plain,
% 72.62/45.45 (~v130(constB37, bitIndex1)),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6914, 2146, 6853, 6849, 6845, 6841, 6837, 6833])).
% 72.62/45.45 tff(6916,plain,
% 72.62/45.45 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(6917,plain,
% 72.62/45.45 ((v26(constB37) | v130(constB37, bitIndex1) | (~v127(constB37, bitIndex1))) <=> ((~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(6918,plain,
% 72.62/45.45 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB37) | v130(constB37, bitIndex1) | (~v127(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1)))),
% 72.62/45.45 inference(monotonicity,[status(thm)],[6917])).
% 72.62/45.45 tff(6919,plain,
% 72.62/45.45 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB37) | v130(constB37, bitIndex1) | (~v127(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1))),
% 72.62/45.45 inference(transitivity,[status(thm)],[6918, 6916])).
% 72.62/45.45 tff(6920,plain,
% 72.62/45.45 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB37) | v130(constB37, bitIndex1) | (~v127(constB37, bitIndex1)))),
% 72.62/45.45 inference(quant_inst,[status(thm)],[])).
% 72.62/45.45 tff(6921,plain,
% 72.62/45.45 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB37, bitIndex1)) | v26(constB37) | v130(constB37, bitIndex1)),
% 72.62/45.45 inference(modus_ponens,[status(thm)],[6920, 6919])).
% 72.62/45.45 tff(6922,plain,
% 72.62/45.45 ((~v127(constB37, bitIndex1)) | v130(constB37, bitIndex1)),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6921, 555, 6783])).
% 72.62/45.45 tff(6923,plain,
% 72.62/45.45 (~v127(constB37, bitIndex1)),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6922, 6915])).
% 72.62/45.45 tff(6924,plain,
% 72.62/45.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1)))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(6925,plain,
% 72.62/45.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1)))),
% 72.62/45.45 inference(quant_inst,[status(thm)],[])).
% 72.62/45.45 tff(6926,plain,
% 72.62/45.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1))),
% 72.62/45.45 inference(modus_ponens,[status(thm)],[6925, 6924])).
% 72.62/45.45 tff(6927,plain,
% 72.62/45.45 (v127(constB37, bitIndex1) | (~v129(constB38, bitIndex1))),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6926, 588, 6795])).
% 72.62/45.45 tff(6928,plain,
% 72.62/45.45 (~v129(constB38, bitIndex1)),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6927, 6923])).
% 72.62/45.45 tff(6929,plain,
% 72.62/45.45 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38)))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(6930,plain,
% 72.62/45.45 (((~v90(constB38, bitIndex1)) | (~v100(constB38)) | v129(constB38, bitIndex1)) <=> ((~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38)))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(6931,plain,
% 72.62/45.45 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | (~v100(constB38)) | v129(constB38, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38))))),
% 72.62/45.45 inference(monotonicity,[status(thm)],[6930])).
% 72.62/45.45 tff(6932,plain,
% 72.62/45.45 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | (~v100(constB38)) | v129(constB38, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38)))),
% 72.62/45.45 inference(transitivity,[status(thm)],[6931, 6929])).
% 72.62/45.45 tff(6933,plain,
% 72.62/45.45 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB38, bitIndex1)) | (~v100(constB38)) | v129(constB38, bitIndex1))),
% 72.62/45.45 inference(quant_inst,[status(thm)],[])).
% 72.62/45.45 tff(6934,plain,
% 72.62/45.45 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1) | (~v100(constB38))),
% 72.62/45.45 inference(modus_ponens,[status(thm)],[6933, 6932])).
% 72.62/45.45 tff(6935,plain,
% 72.62/45.45 ((~v90(constB38, bitIndex1)) | (~v100(constB38))),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6934, 603, 6928])).
% 72.62/45.45 tff(6936,plain,
% 72.62/45.45 (~v90(constB38, bitIndex1)),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6935, 6829])).
% 72.62/45.45 tff(6937,plain,
% 72.62/45.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1)))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(6938,plain,
% 72.62/45.45 (((~nextState(constB38, constB39)) | v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1))) <=> (v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1)))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(6939,plain,
% 72.62/45.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1))))),
% 72.62/45.45 inference(monotonicity,[status(thm)],[6938])).
% 72.62/45.45 tff(6940,plain,
% 72.62/45.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1)))),
% 72.62/45.45 inference(transitivity,[status(thm)],[6939, 6937])).
% 72.62/45.45 tff(6941,plain,
% 72.62/45.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB38, constB39)) | v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1)))),
% 72.62/45.45 inference(quant_inst,[status(thm)],[])).
% 72.62/45.45 tff(6942,plain,
% 72.62/45.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex1))),
% 72.62/45.45 inference(modus_ponens,[status(thm)],[6941, 6940])).
% 72.62/45.45 tff(6943,plain,
% 72.62/45.45 (v90(constB38, bitIndex1) | v100(constB39) | (~v90(constB39, bitIndex1))),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6942, 109, 6887])).
% 72.62/45.45 tff(6944,plain,
% 72.62/45.45 (v90(constB38, bitIndex1) | (~v90(constB39, bitIndex1))),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6943, 6899])).
% 72.62/45.45 tff(6945,plain,
% 72.62/45.45 (~v90(constB39, bitIndex1)),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6944, 6936])).
% 72.62/45.45 tff(6946,plain,
% 72.62/45.45 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | v130(constB37, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | v130(constB37, bitIndex0))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(6947,plain,
% 72.62/45.45 ((v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, bitIndex0)) <=> (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | v130(constB37, bitIndex0))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(6948,plain,
% 72.62/45.45 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | v130(constB37, bitIndex0)))),
% 72.62/45.45 inference(monotonicity,[status(thm)],[6947])).
% 72.62/45.45 tff(6949,plain,
% 72.62/45.45 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | v130(constB37, bitIndex0))),
% 72.62/45.45 inference(transitivity,[status(thm)],[6948, 6946])).
% 72.62/45.45 tff(6950,plain,
% 72.62/45.45 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB37) | v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, bitIndex0))),
% 72.62/45.45 inference(quant_inst,[status(thm)],[])).
% 72.62/45.45 tff(6951,plain,
% 72.62/45.45 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | v130(constB37, bitIndex0)),
% 72.62/45.45 inference(modus_ponens,[status(thm)],[6950, 6949])).
% 72.62/45.45 tff(6952,plain,
% 72.62/45.45 (v130(constB37, bitIndex0)),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6951, 2192, 6853, 6849, 6845, 6841, 6837, 6833])).
% 72.62/45.45 tff(6953,plain,
% 72.62/45.45 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB37) | (~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB37) | (~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(6954,plain,
% 72.62/45.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB37) | (~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0))),
% 72.62/45.45 inference(quant_inst,[status(thm)],[])).
% 72.62/45.45 tff(6955,plain,
% 72.62/45.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB37) | (~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0)),
% 72.62/45.45 inference(modus_ponens,[status(thm)],[6954, 6953])).
% 72.62/45.45 tff(6956,plain,
% 72.62/45.45 ((~v130(constB37, bitIndex0)) | v127(constB37, bitIndex0)),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6955, 179, 6783])).
% 72.62/45.45 tff(6957,plain,
% 72.62/45.45 (v127(constB37, bitIndex0)),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6956, 6952])).
% 72.62/45.45 tff(6958,plain,
% 72.62/45.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB37, constB38)) | (~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB37, constB38)) | (~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(6959,plain,
% 72.62/45.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB37, constB38)) | (~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0))),
% 72.62/45.45 inference(quant_inst,[status(thm)],[])).
% 72.62/45.45 tff(6960,plain,
% 72.62/45.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB37, constB38)) | (~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0)),
% 72.62/45.45 inference(modus_ponens,[status(thm)],[6959, 6958])).
% 72.62/45.45 tff(6961,plain,
% 72.62/45.45 ((~v127(constB37, bitIndex0)) | v129(constB38, bitIndex0)),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6960, 197, 6795])).
% 72.62/45.45 tff(6962,plain,
% 72.62/45.45 (v129(constB38, bitIndex0)),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6961, 6957])).
% 72.62/45.45 tff(6963,plain,
% 72.62/45.45 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38)))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(6964,plain,
% 72.62/45.45 ((v90(constB38, bitIndex0) | (~v100(constB38)) | (~v129(constB38, bitIndex0))) <=> (v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38)))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(6965,plain,
% 72.62/45.45 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~v100(constB38)) | (~v129(constB38, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38))))),
% 72.62/45.45 inference(monotonicity,[status(thm)],[6964])).
% 72.62/45.45 tff(6966,plain,
% 72.62/45.45 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~v100(constB38)) | (~v129(constB38, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38)))),
% 72.62/45.45 inference(transitivity,[status(thm)],[6965, 6963])).
% 72.62/45.45 tff(6967,plain,
% 72.62/45.45 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB38, bitIndex0) | (~v100(constB38)) | (~v129(constB38, bitIndex0)))),
% 72.62/45.45 inference(quant_inst,[status(thm)],[])).
% 72.62/45.45 tff(6968,plain,
% 72.62/45.45 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0)) | (~v100(constB38))),
% 72.62/45.45 inference(modus_ponens,[status(thm)],[6967, 6966])).
% 72.62/45.45 tff(6969,plain,
% 72.62/45.45 (v90(constB38, bitIndex0) | (~v100(constB38))),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6968, 401, 6962])).
% 72.62/45.45 tff(6970,plain,
% 72.62/45.45 (v90(constB38, bitIndex0)),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6969, 6829])).
% 72.62/45.45 tff(6971,plain,
% 72.62/45.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex0))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(6972,plain,
% 72.62/45.45 (((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex0)) | v100(constB39) | v90(constB39, bitIndex0)) <=> ((~v90(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex0))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(6973,plain,
% 72.62/45.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex0)) | v100(constB39) | v90(constB39, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex0)))),
% 72.62/45.45 inference(monotonicity,[status(thm)],[6972])).
% 72.62/45.45 tff(6974,plain,
% 72.62/45.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex0)) | v100(constB39) | v90(constB39, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex0))),
% 72.62/45.45 inference(transitivity,[status(thm)],[6973, 6971])).
% 72.62/45.45 tff(6975,plain,
% 72.62/45.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex0)) | v100(constB39) | v90(constB39, bitIndex0))),
% 72.62/45.45 inference(quant_inst,[status(thm)],[])).
% 72.62/45.45 tff(6976,plain,
% 72.62/45.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex0)),
% 72.62/45.45 inference(modus_ponens,[status(thm)],[6975, 6974])).
% 72.62/45.45 tff(6977,plain,
% 72.62/45.45 ((~v90(constB38, bitIndex0)) | v100(constB39) | v90(constB39, bitIndex0)),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6976, 437, 6887])).
% 72.62/45.45 tff(6978,plain,
% 72.62/45.45 ((~v90(constB38, bitIndex0)) | v90(constB39, bitIndex0)),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6977, 6899])).
% 72.62/45.45 tff(6979,plain,
% 72.62/45.45 (v90(constB39, bitIndex0)),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6978, 6970])).
% 72.62/45.45 tff(6980,plain,
% 72.62/45.45 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(6981,plain,
% 72.62/45.45 (((~v90(constB39, bitIndex0)) | v120(constB39) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2)) <=> ((~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(6982,plain,
% 72.62/45.45 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB39, bitIndex0)) | v120(constB39) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39)))),
% 72.62/45.45 inference(monotonicity,[status(thm)],[6981])).
% 72.62/45.45 tff(6983,plain,
% 72.62/45.45 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB39, bitIndex0)) | v120(constB39) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39))),
% 72.62/45.45 inference(transitivity,[status(thm)],[6982, 6980])).
% 72.62/45.45 tff(6984,plain,
% 72.62/45.45 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB39, bitIndex0)) | v120(constB39) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2))),
% 72.62/45.45 inference(quant_inst,[status(thm)],[])).
% 72.62/45.45 tff(6985,plain,
% 72.62/45.45 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB39, bitIndex0)) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | v120(constB39)),
% 72.62/45.45 inference(modus_ponens,[status(thm)],[6984, 6983])).
% 72.62/45.45 tff(6986,plain,
% 72.62/45.45 (v120(constB39)),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6985, 631, 6979, 6945, 6908])).
% 72.62/45.45 tff(6987,plain,
% 72.62/45.45 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB39) | (~v120(constB39)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB39) | (~v120(constB39)))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(6988,plain,
% 72.62/45.45 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB39) | (~v120(constB39)))),
% 72.62/45.45 inference(quant_inst,[status(thm)],[])).
% 72.62/45.45 tff(6989,plain,
% 72.62/45.45 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB39) | (~v120(constB39))),
% 72.62/45.45 inference(modus_ponens,[status(thm)],[6988, 6987])).
% 72.62/45.45 tff(6990,plain,
% 72.62/45.45 (v118(constB39)),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6989, 646, 6986])).
% 72.62/45.45 tff(6991,plain,
% 72.62/45.45 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB39) | (~v118(constB39)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB39) | (~v118(constB39)))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(6992,plain,
% 72.62/45.45 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB39) | (~v118(constB39)))),
% 72.62/45.45 inference(quant_inst,[status(thm)],[])).
% 72.62/45.45 tff(6993,plain,
% 72.62/45.45 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB39) | (~v118(constB39))),
% 72.62/45.45 inference(modus_ponens,[status(thm)],[6992, 6991])).
% 72.62/45.45 tff(6994,plain,
% 72.62/45.45 (v117(constB39)),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6993, 243, 6990])).
% 72.62/45.45 tff(6995,plain,
% 72.62/45.45 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB39) | (~v117(constB39)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB39) | (~v117(constB39)))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(6996,plain,
% 72.62/45.45 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB39) | (~v117(constB39)))),
% 72.62/45.45 inference(quant_inst,[status(thm)],[])).
% 72.62/45.45 tff(6997,plain,
% 72.62/45.45 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB39) | (~v117(constB39))),
% 72.62/45.45 inference(modus_ponens,[status(thm)],[6996, 6995])).
% 72.62/45.45 tff(6998,plain,
% 72.62/45.45 (v116(constB39)),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[6997, 254, 6994])).
% 72.62/45.45 tff(6999,plain,
% 72.62/45.45 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB39) | (~v116(constB39)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB39) | (~v116(constB39)))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(7000,plain,
% 72.62/45.45 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB39) | (~v116(constB39)))),
% 72.62/45.45 inference(quant_inst,[status(thm)],[])).
% 72.62/45.45 tff(7001,plain,
% 72.62/45.45 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB39) | (~v116(constB39))),
% 72.62/45.45 inference(modus_ponens,[status(thm)],[7000, 6999])).
% 72.62/45.45 tff(7002,plain,
% 72.62/45.45 (v115(constB39)),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[7001, 265, 6998])).
% 72.62/45.45 tff(7003,plain,
% 72.62/45.45 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB39) | (~v115(constB39)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB39) | (~v115(constB39)))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(7004,plain,
% 72.62/45.45 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB39) | (~v115(constB39)))),
% 72.62/45.45 inference(quant_inst,[status(thm)],[])).
% 72.62/45.45 tff(7005,plain,
% 72.62/45.45 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB39) | (~v115(constB39))),
% 72.62/45.45 inference(modus_ponens,[status(thm)],[7004, 7003])).
% 72.62/45.45 tff(7006,plain,
% 72.62/45.45 (v114(constB39)),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[7005, 276, 7002])).
% 72.62/45.45 tff(7007,plain,
% 72.62/45.45 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB39) | (~v114(constB39)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB39) | (~v114(constB39)))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(7008,plain,
% 72.62/45.45 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB39) | (~v114(constB39)))),
% 72.62/45.45 inference(quant_inst,[status(thm)],[])).
% 72.62/45.45 tff(7009,plain,
% 72.62/45.45 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB39) | (~v114(constB39))),
% 72.62/45.45 inference(modus_ponens,[status(thm)],[7008, 7007])).
% 72.62/45.45 tff(7010,plain,
% 72.62/45.45 (v113(constB39)),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[7009, 287, 7006])).
% 72.62/45.45 tff(7011,assumption,(v26(constB39)), introduced(assumption)).
% 72.62/45.45 tff(7012,plain,
% 72.62/45.45 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB39))),
% 72.62/45.45 inference(quant_inst,[status(thm)],[])).
% 72.62/45.45 tff(7013,plain,
% 72.62/45.45 ($false),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[7012, 37, 7011])).
% 72.62/45.45 tff(7014,plain,(~v26(constB39)), inference(lemma,lemma(discharge,[]))).
% 72.62/45.45 tff(7015,plain,
% 72.62/45.45 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | v112(constB39) | (~v113(constB39)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | v112(constB39) | (~v113(constB39)))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(7016,plain,
% 72.62/45.45 ((v26(constB39) | (~v113(constB39)) | v112(constB39)) <=> (v26(constB39) | v112(constB39) | (~v113(constB39)))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(7017,plain,
% 72.62/45.45 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | v112(constB39) | (~v113(constB39))))),
% 72.62/45.45 inference(monotonicity,[status(thm)],[7016])).
% 72.62/45.45 tff(7018,plain,
% 72.62/45.45 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | v112(constB39) | (~v113(constB39)))),
% 72.62/45.45 inference(transitivity,[status(thm)],[7017, 7015])).
% 72.62/45.45 tff(7019,plain,
% 72.62/45.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))),
% 72.62/45.45 inference(quant_inst,[status(thm)],[])).
% 72.62/45.45 tff(7020,plain,
% 72.62/45.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | v112(constB39) | (~v113(constB39))),
% 72.62/45.45 inference(modus_ponens,[status(thm)],[7019, 7018])).
% 72.62/45.45 tff(7021,plain,
% 72.62/45.45 (v112(constB39) | (~v113(constB39))),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[7020, 301, 7014])).
% 72.62/45.45 tff(7022,plain,
% 72.62/45.45 (v112(constB39)),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[7021, 7010])).
% 72.62/45.45 tff(7023,plain,
% 72.62/45.45 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB39) | (~v112(constB39)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB39) | (~v112(constB39)))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(7024,plain,
% 72.62/45.45 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB39) | (~v112(constB39)))),
% 72.62/45.45 inference(quant_inst,[status(thm)],[])).
% 72.62/45.45 tff(7025,plain,
% 72.62/45.45 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB39) | (~v112(constB39))),
% 72.62/45.45 inference(modus_ponens,[status(thm)],[7024, 7023])).
% 72.62/45.45 tff(7026,plain,
% 72.62/45.45 (v108(constB39)),
% 72.62/45.45 inference(unit_resolution,[status(thm)],[7025, 210, 7022])).
% 72.62/45.45 tff(7027,plain,
% 72.62/45.45 (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(7028,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_39_1')).
% 72.62/45.45 tff(7029,plain,
% 72.62/45.45 (nextState(constB39, constB40)),
% 72.62/45.45 inference(modus_ponens,[status(thm)],[7028, 7027])).
% 72.62/45.45 tff(7030,plain,
% 72.62/45.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 72.62/45.45 inference(rewrite,[status(thm)],[])).
% 72.62/45.45 tff(7031,plain,
% 72.62/45.45 (((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40)) <=> ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7032,plain,
% 72.62/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39))))),
% 72.62/45.46 inference(monotonicity,[status(thm)],[7031])).
% 72.62/45.46 tff(7033,plain,
% 72.62/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 72.62/45.46 inference(transitivity,[status(thm)],[7032, 7030])).
% 72.62/45.46 tff(7034,plain,
% 72.62/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))),
% 72.62/45.46 inference(quant_inst,[status(thm)],[])).
% 72.62/45.46 tff(7035,plain,
% 72.62/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39))),
% 72.62/45.46 inference(modus_ponens,[status(thm)],[7034, 7033])).
% 72.62/45.46 tff(7036,plain,
% 72.62/45.46 (v110(constB40) | (~v108(constB39))),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7035, 317, 7029])).
% 72.62/45.46 tff(7037,plain,
% 72.62/45.46 (v110(constB40)),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7036, 7026])).
% 72.62/45.46 tff(7038,plain,
% 72.62/45.46 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7039,plain,
% 72.62/45.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))),
% 72.62/45.46 inference(quant_inst,[status(thm)],[])).
% 72.62/45.46 tff(7040,plain,
% 72.62/45.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40))),
% 72.62/45.46 inference(modus_ponens,[status(thm)],[7039, 7038])).
% 72.62/45.46 tff(7041,plain,
% 72.62/45.46 (~v104(constB40)),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7040, 335, 7029, 6884])).
% 72.62/45.46 tff(7042,plain,
% 72.62/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7043,plain,
% 72.62/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))),
% 72.62/45.46 inference(quant_inst,[status(thm)],[])).
% 72.62/45.46 tff(7044,plain,
% 72.62/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v102(constB40) | v104(constB40)),
% 72.62/45.46 inference(modus_ponens,[status(thm)],[7043, 7042])).
% 72.62/45.46 tff(7045,plain,
% 72.62/45.46 (v102(constB40) | v104(constB40)),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7044, 349, 7029])).
% 72.62/45.46 tff(7046,plain,
% 72.62/45.46 (v102(constB40)),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7045, 7041])).
% 72.62/45.46 tff(7047,plain,
% 72.62/45.46 (v1(constB40) <=> v1(constB40)),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7048,axiom,(v1(constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_40_1')).
% 72.62/45.46 tff(7049,plain,
% 72.62/45.46 (v1(constB40)),
% 72.62/45.46 inference(modus_ponens,[status(thm)],[7048, 7047])).
% 72.62/45.46 tff(7050,plain,
% 72.62/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7051,plain,
% 72.62/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))),
% 72.62/45.46 inference(quant_inst,[status(thm)],[])).
% 72.62/45.46 tff(7052,plain,
% 72.62/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40))),
% 72.62/45.46 inference(modus_ponens,[status(thm)],[7051, 7050])).
% 72.62/45.46 tff(7053,plain,
% 72.62/45.46 (v101(constB40) | (~v102(constB40))),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7052, 367, 7029, 7049])).
% 72.62/45.46 tff(7054,plain,
% 72.62/45.46 (v101(constB40)),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7053, 7046])).
% 72.62/45.46 tff(7055,plain,
% 72.62/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7056,plain,
% 72.62/45.46 (((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40)) <=> ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7057,plain,
% 72.62/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40))))),
% 72.62/45.46 inference(monotonicity,[status(thm)],[7056])).
% 72.62/45.46 tff(7058,plain,
% 72.62/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 72.62/45.46 inference(transitivity,[status(thm)],[7057, 7055])).
% 72.62/45.46 tff(7059,plain,
% 72.62/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))),
% 72.62/45.46 inference(quant_inst,[status(thm)],[])).
% 72.62/45.46 tff(7060,plain,
% 72.62/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40))),
% 72.62/45.46 inference(modus_ponens,[status(thm)],[7059, 7058])).
% 72.62/45.46 tff(7061,plain,
% 72.62/45.46 (v100(constB40) | (~v101(constB40)) | (~v110(constB40))),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7060, 382, 7029])).
% 72.62/45.46 tff(7062,plain,
% 72.62/45.46 (v100(constB40) | (~v110(constB40))),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7061, 7054])).
% 72.62/45.46 tff(7063,plain,
% 72.62/45.46 (v100(constB40)),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7062, 7037])).
% 72.62/45.46 tff(7064,plain,
% 72.62/45.46 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB39)) | (~v130(constB39, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB39)) | (~v130(constB39, bitIndex0)))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7065,plain,
% 72.62/45.46 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB39)) | (~v130(constB39, bitIndex0)))),
% 72.62/45.46 inference(quant_inst,[status(thm)],[])).
% 72.62/45.46 tff(7066,plain,
% 72.62/45.46 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB39)) | (~v130(constB39, bitIndex0))),
% 72.62/45.46 inference(modus_ponens,[status(thm)],[7065, 7064])).
% 72.62/45.46 tff(7067,plain,
% 72.62/45.46 (~v130(constB39, bitIndex0)),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7066, 891, 6986])).
% 72.62/45.46 tff(7068,plain,
% 72.62/45.46 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7069,plain,
% 72.62/45.46 ((v26(constB39) | v130(constB39, bitIndex0) | (~v127(constB39, bitIndex0))) <=> ((~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7070,plain,
% 72.62/45.46 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB39) | v130(constB39, bitIndex0) | (~v127(constB39, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0)))),
% 72.62/45.46 inference(monotonicity,[status(thm)],[7069])).
% 72.62/45.46 tff(7071,plain,
% 72.62/45.46 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB39) | v130(constB39, bitIndex0) | (~v127(constB39, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0))),
% 72.62/45.46 inference(transitivity,[status(thm)],[7070, 7068])).
% 72.62/45.46 tff(7072,plain,
% 72.62/45.46 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB39) | v130(constB39, bitIndex0) | (~v127(constB39, bitIndex0)))),
% 72.62/45.46 inference(quant_inst,[status(thm)],[])).
% 72.62/45.46 tff(7073,plain,
% 72.62/45.46 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB39, bitIndex0)) | v26(constB39) | v130(constB39, bitIndex0)),
% 72.62/45.46 inference(modus_ponens,[status(thm)],[7072, 7071])).
% 72.62/45.46 tff(7074,plain,
% 72.62/45.46 ((~v127(constB39, bitIndex0)) | v130(constB39, bitIndex0)),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7073, 905, 7014])).
% 72.62/45.46 tff(7075,plain,
% 72.62/45.46 (~v127(constB39, bitIndex0)),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7074, 7067])).
% 72.62/45.46 tff(7076,plain,
% 72.62/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0)))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7077,plain,
% 72.62/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0)))),
% 72.62/45.46 inference(quant_inst,[status(thm)],[])).
% 72.62/45.46 tff(7078,plain,
% 72.62/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0))),
% 72.62/45.46 inference(modus_ponens,[status(thm)],[7077, 7076])).
% 72.62/45.46 tff(7079,plain,
% 72.62/45.46 (v127(constB39, bitIndex0) | (~v129(constB40, bitIndex0))),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7078, 923, 7029])).
% 72.62/45.46 tff(7080,plain,
% 72.62/45.46 (~v129(constB40, bitIndex0)),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7079, 7075])).
% 72.62/45.46 tff(7081,plain,
% 72.62/45.46 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40)))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7082,plain,
% 72.62/45.46 (((~v90(constB40, bitIndex0)) | (~v100(constB40)) | v129(constB40, bitIndex0)) <=> ((~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40)))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7083,plain,
% 72.62/45.46 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | (~v100(constB40)) | v129(constB40, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40))))),
% 72.62/45.46 inference(monotonicity,[status(thm)],[7082])).
% 72.62/45.46 tff(7084,plain,
% 72.62/45.46 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | (~v100(constB40)) | v129(constB40, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40)))),
% 72.62/45.46 inference(transitivity,[status(thm)],[7083, 7081])).
% 72.62/45.46 tff(7085,plain,
% 72.62/45.46 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB40, bitIndex0)) | (~v100(constB40)) | v129(constB40, bitIndex0))),
% 72.62/45.46 inference(quant_inst,[status(thm)],[])).
% 72.62/45.46 tff(7086,plain,
% 72.62/45.46 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0) | (~v100(constB40))),
% 72.62/45.46 inference(modus_ponens,[status(thm)],[7085, 7084])).
% 72.62/45.46 tff(7087,plain,
% 72.62/45.46 ((~v90(constB40, bitIndex0)) | (~v100(constB40))),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7086, 938, 7080])).
% 72.62/45.46 tff(7088,plain,
% 72.62/45.46 (~v90(constB40, bitIndex0)),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7087, 7063])).
% 72.62/45.46 tff(7089,plain,
% 72.62/45.46 ((~v1(constB41)) <=> (~v1(constB41))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7090,axiom,(~v1(constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_41_1_1')).
% 72.62/45.46 tff(7091,plain,
% 72.62/45.46 (~v1(constB41)),
% 72.62/45.46 inference(modus_ponens,[status(thm)],[7090, 7089])).
% 72.62/45.46 tff(7092,plain,
% 72.62/45.46 (nextState(constB40, constB41) <=> nextState(constB40, constB41)),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7093,axiom,(nextState(constB40, constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_40_1')).
% 72.62/45.46 tff(7094,plain,
% 72.62/45.46 (nextState(constB40, constB41)),
% 72.62/45.46 inference(modus_ponens,[status(thm)],[7093, 7092])).
% 72.62/45.46 tff(7095,plain,
% 72.62/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7096,plain,
% 72.62/45.46 (((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41)) <=> (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7097,plain,
% 72.62/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41))))),
% 72.62/45.46 inference(monotonicity,[status(thm)],[7096])).
% 72.62/45.46 tff(7098,plain,
% 72.62/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 72.62/45.46 inference(transitivity,[status(thm)],[7097, 7095])).
% 72.62/45.46 tff(7099,plain,
% 72.62/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))),
% 72.62/45.46 inference(quant_inst,[status(thm)],[])).
% 72.62/45.46 tff(7100,plain,
% 72.62/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41))),
% 72.62/45.46 inference(modus_ponens,[status(thm)],[7099, 7098])).
% 72.62/45.46 tff(7101,plain,
% 72.62/45.46 (~v101(constB41)),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7100, 56, 7094, 7091])).
% 72.62/45.46 tff(7102,plain,
% 72.62/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7103,plain,
% 72.62/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))),
% 72.62/45.46 inference(quant_inst,[status(thm)],[])).
% 72.62/45.46 tff(7104,plain,
% 72.62/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41))),
% 72.62/45.46 inference(modus_ponens,[status(thm)],[7103, 7102])).
% 72.62/45.46 tff(7105,plain,
% 72.62/45.46 (v101(constB41) | (~v100(constB41))),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7104, 73, 7094])).
% 72.62/45.46 tff(7106,plain,
% 72.62/45.46 (~v100(constB41)),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7105, 7101])).
% 72.62/45.46 tff(7107,plain,
% 72.62/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0)))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7108,plain,
% 72.62/45.46 (((~nextState(constB40, constB41)) | v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0))) <=> (v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0)))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7109,plain,
% 72.62/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0))))),
% 72.62/45.46 inference(monotonicity,[status(thm)],[7108])).
% 72.62/45.46 tff(7110,plain,
% 72.62/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0)))),
% 72.62/45.46 inference(transitivity,[status(thm)],[7109, 7107])).
% 72.62/45.46 tff(7111,plain,
% 72.62/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0)))),
% 72.62/45.46 inference(quant_inst,[status(thm)],[])).
% 72.62/45.46 tff(7112,plain,
% 72.62/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex0))),
% 72.62/45.46 inference(modus_ponens,[status(thm)],[7111, 7110])).
% 72.62/45.46 tff(7113,plain,
% 72.62/45.46 (v90(constB40, bitIndex0) | v100(constB41) | (~v90(constB41, bitIndex0))),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7112, 130, 7094])).
% 72.62/45.46 tff(7114,plain,
% 72.62/45.46 (v90(constB40, bitIndex0) | (~v90(constB41, bitIndex0))),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7113, 7106])).
% 72.62/45.46 tff(7115,plain,
% 72.62/45.46 (~v90(constB41, bitIndex0)),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7114, 7088])).
% 72.62/45.46 tff(7116,plain,
% 72.62/45.46 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB39)) | (~v130(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB39)) | (~v130(constB39, bitIndex2)))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7117,plain,
% 72.62/45.46 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB39)) | (~v130(constB39, bitIndex2)))),
% 72.62/45.46 inference(quant_inst,[status(thm)],[])).
% 72.62/45.46 tff(7118,plain,
% 72.62/45.46 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB39)) | (~v130(constB39, bitIndex2))),
% 72.62/45.46 inference(modus_ponens,[status(thm)],[7117, 7116])).
% 72.62/45.46 tff(7119,plain,
% 72.62/45.46 (~v130(constB39, bitIndex2)),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7118, 730, 6986])).
% 72.62/45.46 tff(7120,plain,
% 72.62/45.46 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7121,plain,
% 72.62/45.46 ((v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2))) <=> ((~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7122,plain,
% 72.62/45.46 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2)))),
% 72.62/45.46 inference(monotonicity,[status(thm)],[7121])).
% 72.62/45.46 tff(7123,plain,
% 72.62/45.46 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))),
% 72.62/45.46 inference(transitivity,[status(thm)],[7122, 7120])).
% 72.62/45.46 tff(7124,plain,
% 72.62/45.46 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2)))),
% 72.62/45.46 inference(quant_inst,[status(thm)],[])).
% 72.62/45.46 tff(7125,plain,
% 72.62/45.46 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2)),
% 72.62/45.46 inference(modus_ponens,[status(thm)],[7124, 7123])).
% 72.62/45.46 tff(7126,plain,
% 72.62/45.46 ((~v127(constB39, bitIndex2)) | v130(constB39, bitIndex2)),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7125, 470, 7014])).
% 72.62/45.46 tff(7127,plain,
% 72.62/45.46 (~v127(constB39, bitIndex2)),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7126, 7119])).
% 72.62/45.46 tff(7128,plain,
% 72.62/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2)))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7129,plain,
% 72.62/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2)))),
% 72.62/45.46 inference(quant_inst,[status(thm)],[])).
% 72.62/45.46 tff(7130,plain,
% 72.62/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2))),
% 72.62/45.46 inference(modus_ponens,[status(thm)],[7129, 7128])).
% 72.62/45.46 tff(7131,plain,
% 72.62/45.46 (v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2))),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7130, 488, 7029])).
% 72.62/45.46 tff(7132,plain,
% 72.62/45.46 (~v129(constB40, bitIndex2)),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7131, 7127])).
% 72.62/45.46 tff(7133,plain,
% 72.62/45.46 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7134,plain,
% 72.62/45.46 (((~v90(constB40, bitIndex2)) | (~v100(constB40)) | v129(constB40, bitIndex2)) <=> ((~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7135,plain,
% 72.62/45.46 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB40, bitIndex2)) | (~v100(constB40)) | v129(constB40, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40))))),
% 72.62/45.46 inference(monotonicity,[status(thm)],[7134])).
% 72.62/45.46 tff(7136,plain,
% 72.62/45.46 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB40, bitIndex2)) | (~v100(constB40)) | v129(constB40, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))),
% 72.62/45.46 inference(transitivity,[status(thm)],[7135, 7133])).
% 72.62/45.46 tff(7137,plain,
% 72.62/45.46 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB40, bitIndex2)) | (~v100(constB40)) | v129(constB40, bitIndex2))),
% 72.62/45.46 inference(quant_inst,[status(thm)],[])).
% 72.62/45.46 tff(7138,plain,
% 72.62/45.46 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40))),
% 72.62/45.46 inference(modus_ponens,[status(thm)],[7137, 7136])).
% 72.62/45.46 tff(7139,plain,
% 72.62/45.46 ((~v90(constB40, bitIndex2)) | (~v100(constB40))),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7138, 503, 7132])).
% 72.62/45.46 tff(7140,plain,
% 72.62/45.46 (~v90(constB40, bitIndex2)),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7139, 7063])).
% 72.62/45.46 tff(7141,plain,
% 72.62/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7142,plain,
% 72.62/45.46 (((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2))) <=> (v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7143,plain,
% 72.62/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2))))),
% 72.62/45.46 inference(monotonicity,[status(thm)],[7142])).
% 72.62/45.46 tff(7144,plain,
% 72.62/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 72.62/45.46 inference(transitivity,[status(thm)],[7143, 7141])).
% 72.62/45.46 tff(7145,plain,
% 72.62/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 72.62/45.46 inference(quant_inst,[status(thm)],[])).
% 72.62/45.46 tff(7146,plain,
% 72.62/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2))),
% 72.62/45.46 inference(modus_ponens,[status(thm)],[7145, 7144])).
% 72.62/45.46 tff(7147,plain,
% 72.62/45.46 (v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2))),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7146, 88, 7094])).
% 72.62/45.46 tff(7148,plain,
% 72.62/45.46 (v90(constB40, bitIndex2) | (~v90(constB41, bitIndex2))),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7147, 7106])).
% 72.62/45.46 tff(7149,plain,
% 72.62/45.46 (~v90(constB41, bitIndex2)),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7148, 7140])).
% 72.62/45.46 tff(7150,plain,
% 72.62/45.46 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB39)) | v130(constB39, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB39)) | v130(constB39, bitIndex1))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7151,plain,
% 72.62/45.46 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB39)) | v130(constB39, bitIndex1))),
% 72.62/45.46 inference(quant_inst,[status(thm)],[])).
% 72.62/45.46 tff(7152,plain,
% 72.62/45.46 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB39)) | v130(constB39, bitIndex1)),
% 72.62/45.46 inference(modus_ponens,[status(thm)],[7151, 7150])).
% 72.62/45.46 tff(7153,plain,
% 72.62/45.46 (v130(constB39, bitIndex1)),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7152, 810, 6986])).
% 72.62/45.46 tff(7154,plain,
% 72.62/45.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7155,plain,
% 72.62/45.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1))),
% 72.62/45.46 inference(quant_inst,[status(thm)],[])).
% 72.62/45.46 tff(7156,plain,
% 72.62/45.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1)),
% 72.62/45.46 inference(modus_ponens,[status(thm)],[7155, 7154])).
% 72.62/45.46 tff(7157,plain,
% 72.62/45.46 ((~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1)),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7156, 824, 7014])).
% 72.62/45.46 tff(7158,plain,
% 72.62/45.46 (v127(constB39, bitIndex1)),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7157, 7153])).
% 72.62/45.46 tff(7159,plain,
% 72.62/45.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7160,plain,
% 72.62/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1))),
% 72.62/45.46 inference(quant_inst,[status(thm)],[])).
% 72.62/45.46 tff(7161,plain,
% 72.62/45.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1)),
% 72.62/45.46 inference(modus_ponens,[status(thm)],[7160, 7159])).
% 72.62/45.46 tff(7162,plain,
% 72.62/45.46 ((~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1)),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7161, 839, 7029])).
% 72.62/45.46 tff(7163,plain,
% 72.62/45.46 (v129(constB40, bitIndex1)),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7162, 7158])).
% 72.62/45.46 tff(7164,plain,
% 72.62/45.46 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7165,plain,
% 72.62/45.46 ((v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1))) <=> (v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))),
% 72.62/45.46 inference(rewrite,[status(thm)],[])).
% 72.62/45.46 tff(7166,plain,
% 72.62/45.46 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40))))),
% 72.62/45.46 inference(monotonicity,[status(thm)],[7165])).
% 72.62/45.46 tff(7167,plain,
% 72.62/45.46 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))),
% 72.62/45.46 inference(transitivity,[status(thm)],[7166, 7164])).
% 72.62/45.46 tff(7168,plain,
% 72.62/45.46 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1)))),
% 72.62/45.46 inference(quant_inst,[status(thm)],[])).
% 72.62/45.46 tff(7169,plain,
% 72.62/45.46 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40))),
% 72.62/45.46 inference(modus_ponens,[status(thm)],[7168, 7167])).
% 72.62/45.46 tff(7170,plain,
% 72.62/45.46 (v90(constB40, bitIndex1) | (~v100(constB40))),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7169, 854, 7163])).
% 72.62/45.46 tff(7171,plain,
% 72.62/45.46 (v90(constB40, bitIndex1)),
% 72.62/45.46 inference(unit_resolution,[status(thm)],[7170, 7063])).
% 72.62/45.47 tff(7172,plain,
% 72.62/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7173,plain,
% 72.62/45.47 (((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1)) <=> ((~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7174,plain,
% 72.62/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1)))),
% 72.62/45.47 inference(monotonicity,[status(thm)],[7173])).
% 72.62/45.47 tff(7175,plain,
% 72.62/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))),
% 72.62/45.47 inference(transitivity,[status(thm)],[7174, 7172])).
% 72.62/45.47 tff(7176,plain,
% 72.62/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1))),
% 72.62/45.47 inference(quant_inst,[status(thm)],[])).
% 72.62/45.47 tff(7177,plain,
% 72.62/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1)),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7176, 7175])).
% 72.62/45.47 tff(7178,plain,
% 72.62/45.47 ((~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7177, 872, 7094])).
% 72.62/45.47 tff(7179,plain,
% 72.62/45.47 ((~v90(constB40, bitIndex1)) | v90(constB41, bitIndex1)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7178, 7106])).
% 72.62/45.47 tff(7180,plain,
% 72.62/45.47 (v90(constB41, bitIndex1)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7179, 7171])).
% 72.62/45.47 tff(7181,plain,
% 72.62/45.47 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v121(constB41))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v121(constB41))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7182,plain,
% 72.62/45.47 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v121(constB41))),
% 72.62/45.47 inference(quant_inst,[status(thm)],[])).
% 72.62/45.47 tff(7183,plain,
% 72.62/45.47 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v121(constB41)),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7182, 7181])).
% 72.62/45.47 tff(7184,plain,
% 72.62/45.47 (v121(constB41)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7183, 965, 7115, 7180, 7149])).
% 72.62/45.47 tff(7185,plain,
% 72.62/45.47 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB41)) | v130(constB41, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB41)) | v130(constB41, bitIndex0))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7186,plain,
% 72.62/45.47 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB41)) | v130(constB41, bitIndex0))),
% 72.62/45.47 inference(quant_inst,[status(thm)],[])).
% 72.62/45.47 tff(7187,plain,
% 72.62/45.47 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB41)) | v130(constB41, bitIndex0)),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7186, 7185])).
% 72.62/45.47 tff(7188,plain,
% 72.62/45.47 (v130(constB41, bitIndex0)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7187, 1162, 7184])).
% 72.62/45.47 tff(7189,plain,
% 72.62/45.47 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB41) | (~v121(constB41)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB41) | (~v121(constB41)))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7190,plain,
% 72.62/45.47 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB41) | (~v121(constB41)))),
% 72.62/45.47 inference(quant_inst,[status(thm)],[])).
% 72.62/45.47 tff(7191,plain,
% 72.62/45.47 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB41) | (~v121(constB41))),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7190, 7189])).
% 72.62/45.47 tff(7192,plain,
% 72.62/45.47 (v117(constB41)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7191, 976, 7184])).
% 72.62/45.47 tff(7193,plain,
% 72.62/45.47 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB41) | (~v117(constB41)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB41) | (~v117(constB41)))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7194,plain,
% 72.62/45.47 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB41) | (~v117(constB41)))),
% 72.62/45.47 inference(quant_inst,[status(thm)],[])).
% 72.62/45.47 tff(7195,plain,
% 72.62/45.47 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB41) | (~v117(constB41))),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7194, 7193])).
% 72.62/45.47 tff(7196,plain,
% 72.62/45.47 (v116(constB41)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7195, 254, 7192])).
% 72.62/45.47 tff(7197,plain,
% 72.62/45.47 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB41) | (~v116(constB41)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB41) | (~v116(constB41)))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7198,plain,
% 72.62/45.47 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB41) | (~v116(constB41)))),
% 72.62/45.47 inference(quant_inst,[status(thm)],[])).
% 72.62/45.47 tff(7199,plain,
% 72.62/45.47 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB41) | (~v116(constB41))),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7198, 7197])).
% 72.62/45.47 tff(7200,plain,
% 72.62/45.47 (v115(constB41)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7199, 265, 7196])).
% 72.62/45.47 tff(7201,plain,
% 72.62/45.47 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB41) | (~v115(constB41)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB41) | (~v115(constB41)))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7202,plain,
% 72.62/45.47 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB41) | (~v115(constB41)))),
% 72.62/45.47 inference(quant_inst,[status(thm)],[])).
% 72.62/45.47 tff(7203,plain,
% 72.62/45.47 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB41) | (~v115(constB41))),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7202, 7201])).
% 72.62/45.47 tff(7204,plain,
% 72.62/45.47 (v114(constB41)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7203, 276, 7200])).
% 72.62/45.47 tff(7205,plain,
% 72.62/45.47 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB41) | (~v114(constB41)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB41) | (~v114(constB41)))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7206,plain,
% 72.62/45.47 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB41) | (~v114(constB41)))),
% 72.62/45.47 inference(quant_inst,[status(thm)],[])).
% 72.62/45.47 tff(7207,plain,
% 72.62/45.47 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB41) | (~v114(constB41))),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7206, 7205])).
% 72.62/45.47 tff(7208,plain,
% 72.62/45.47 (v113(constB41)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7207, 287, 7204])).
% 72.62/45.47 tff(7209,assumption,(v26(constB41)), introduced(assumption)).
% 72.62/45.47 tff(7210,plain,
% 72.62/45.47 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB41))),
% 72.62/45.47 inference(quant_inst,[status(thm)],[])).
% 72.62/45.47 tff(7211,plain,
% 72.62/45.47 ($false),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7210, 37, 7209])).
% 72.62/45.47 tff(7212,plain,(~v26(constB41)), inference(lemma,lemma(discharge,[]))).
% 72.62/45.47 tff(7213,assumption,(~v26(constB41)), introduced(assumption)).
% 72.62/45.47 tff(7214,assumption,(v113(constB41)), introduced(assumption)).
% 72.62/45.47 tff(7215,plain,
% 72.62/45.47 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB41) | (~v113(constB41)) | v112(constB41))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB41) | (~v113(constB41)) | v112(constB41))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7216,plain,
% 72.62/45.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB41) | (~v113(constB41)) | v112(constB41))),
% 72.62/45.47 inference(quant_inst,[status(thm)],[])).
% 72.62/45.47 tff(7217,plain,
% 72.62/45.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB41) | (~v113(constB41)) | v112(constB41)),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7216, 7215])).
% 72.62/45.47 tff(7218,plain,
% 72.62/45.47 (v26(constB41) | v112(constB41)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7217, 301, 7214])).
% 72.62/45.47 tff(7219,plain,
% 72.62/45.47 (v112(constB41)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7218, 7213])).
% 72.62/45.47 tff(7220,assumption,(v130(constB41, bitIndex0)), introduced(assumption)).
% 72.62/45.47 tff(7221,plain,
% 72.62/45.47 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB41) | (~v130(constB41, bitIndex0)) | v127(constB41, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB41) | (~v130(constB41, bitIndex0)) | v127(constB41, bitIndex0))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7222,plain,
% 72.62/45.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB41) | (~v130(constB41, bitIndex0)) | v127(constB41, bitIndex0))),
% 72.62/45.47 inference(quant_inst,[status(thm)],[])).
% 72.62/45.47 tff(7223,plain,
% 72.62/45.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB41) | (~v130(constB41, bitIndex0)) | v127(constB41, bitIndex0)),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7222, 7221])).
% 72.62/45.47 tff(7224,plain,
% 72.62/45.47 (v26(constB41) | v127(constB41, bitIndex0)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7223, 179, 7220])).
% 72.62/45.47 tff(7225,plain,
% 72.62/45.47 (v127(constB41, bitIndex0)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7224, 7213])).
% 72.62/45.47 tff(7226,plain,
% 72.62/45.47 (nextState(constB41, constB42) <=> nextState(constB41, constB42)),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7227,axiom,(nextState(constB41, constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_41_1')).
% 72.62/45.47 tff(7228,plain,
% 72.62/45.47 (nextState(constB41, constB42)),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7227, 7226])).
% 72.62/45.47 tff(7229,plain,
% 72.62/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB41, constB42)) | (~v127(constB41, bitIndex0)) | v129(constB42, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB41, constB42)) | (~v127(constB41, bitIndex0)) | v129(constB42, bitIndex0))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7230,plain,
% 72.62/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB41, constB42)) | (~v127(constB41, bitIndex0)) | v129(constB42, bitIndex0))),
% 72.62/45.47 inference(quant_inst,[status(thm)],[])).
% 72.62/45.47 tff(7231,plain,
% 72.62/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB41, constB42)) | (~v127(constB41, bitIndex0)) | v129(constB42, bitIndex0)),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7230, 7229])).
% 72.62/45.47 tff(7232,plain,
% 72.62/45.47 ((~v127(constB41, bitIndex0)) | v129(constB42, bitIndex0)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7231, 197, 7228])).
% 72.62/45.47 tff(7233,plain,
% 72.62/45.47 (v129(constB42, bitIndex0)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7232, 7225])).
% 72.62/45.47 tff(7234,assumption,(~v90(constB42, bitIndex0)), introduced(assumption)).
% 72.62/45.47 tff(7235,plain,
% 72.62/45.47 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0)) | (~v100(constB42)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0)) | (~v100(constB42)))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7236,plain,
% 72.62/45.47 ((v90(constB42, bitIndex0) | (~v100(constB42)) | (~v129(constB42, bitIndex0))) <=> (v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0)) | (~v100(constB42)))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7237,plain,
% 72.62/45.47 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~v100(constB42)) | (~v129(constB42, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0)) | (~v100(constB42))))),
% 72.62/45.47 inference(monotonicity,[status(thm)],[7236])).
% 72.62/45.47 tff(7238,plain,
% 72.62/45.47 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~v100(constB42)) | (~v129(constB42, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0)) | (~v100(constB42)))),
% 72.62/45.47 inference(transitivity,[status(thm)],[7237, 7235])).
% 72.62/45.47 tff(7239,plain,
% 72.62/45.47 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB42, bitIndex0) | (~v100(constB42)) | (~v129(constB42, bitIndex0)))),
% 72.62/45.47 inference(quant_inst,[status(thm)],[])).
% 72.62/45.47 tff(7240,plain,
% 72.62/45.47 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0)) | (~v100(constB42))),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7239, 7238])).
% 72.62/45.47 tff(7241,plain,
% 72.62/45.47 ((~v129(constB42, bitIndex0)) | (~v100(constB42))),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7240, 401, 7234])).
% 72.62/45.47 tff(7242,plain,
% 72.62/45.47 (~v100(constB42)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7241, 7233])).
% 72.62/45.47 tff(7243,plain,
% 72.62/45.47 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7244,plain,
% 72.62/45.47 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))),
% 72.62/45.47 inference(quant_inst,[status(thm)],[])).
% 72.62/45.47 tff(7245,plain,
% 72.62/45.47 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42))),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7244, 7243])).
% 72.62/45.47 tff(7246,plain,
% 72.62/45.47 (~v104(constB42)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7245, 335, 7228, 7091])).
% 72.62/45.47 tff(7247,plain,
% 72.62/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7248,plain,
% 72.62/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))),
% 72.62/45.47 inference(quant_inst,[status(thm)],[])).
% 72.62/45.47 tff(7249,plain,
% 72.62/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v102(constB42) | v104(constB42)),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7248, 7247])).
% 72.62/45.47 tff(7250,plain,
% 72.62/45.47 (v102(constB42) | v104(constB42)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7249, 349, 7228])).
% 72.62/45.47 tff(7251,plain,
% 72.62/45.47 (v102(constB42)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7250, 7246])).
% 72.62/45.47 tff(7252,plain,
% 72.62/45.47 (v1(constB42) <=> v1(constB42)),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7253,axiom,(v1(constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_42_1')).
% 72.62/45.47 tff(7254,plain,
% 72.62/45.47 (v1(constB42)),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7253, 7252])).
% 72.62/45.47 tff(7255,plain,
% 72.62/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7256,plain,
% 72.62/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))),
% 72.62/45.47 inference(quant_inst,[status(thm)],[])).
% 72.62/45.47 tff(7257,plain,
% 72.62/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42))),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7256, 7255])).
% 72.62/45.47 tff(7258,plain,
% 72.62/45.47 (v101(constB42) | (~v102(constB42))),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7257, 367, 7228, 7254])).
% 72.62/45.47 tff(7259,plain,
% 72.62/45.47 (v101(constB42)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7258, 7251])).
% 72.62/45.47 tff(7260,plain,
% 72.62/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7261,plain,
% 72.62/45.47 (((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42)) <=> ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7262,plain,
% 72.62/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42))))),
% 72.62/45.47 inference(monotonicity,[status(thm)],[7261])).
% 72.62/45.47 tff(7263,plain,
% 72.62/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 72.62/45.47 inference(transitivity,[status(thm)],[7262, 7260])).
% 72.62/45.47 tff(7264,plain,
% 72.62/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))),
% 72.62/45.47 inference(quant_inst,[status(thm)],[])).
% 72.62/45.47 tff(7265,plain,
% 72.62/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42))),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7264, 7263])).
% 72.62/45.47 tff(7266,plain,
% 72.62/45.47 (v100(constB42) | (~v101(constB42)) | (~v110(constB42))),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7265, 382, 7228])).
% 72.62/45.47 tff(7267,plain,
% 72.62/45.47 (v100(constB42) | (~v110(constB42))),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7266, 7259])).
% 72.62/45.47 tff(7268,plain,
% 72.62/45.47 (~v110(constB42)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7267, 7242])).
% 72.62/45.47 tff(7269,plain,
% 72.62/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7270,plain,
% 72.62/45.47 (((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42)) <=> ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7271,plain,
% 72.62/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41))))),
% 72.62/45.47 inference(monotonicity,[status(thm)],[7270])).
% 72.62/45.47 tff(7272,plain,
% 72.62/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 72.62/45.47 inference(transitivity,[status(thm)],[7271, 7269])).
% 72.62/45.47 tff(7273,plain,
% 72.62/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))),
% 72.62/45.47 inference(quant_inst,[status(thm)],[])).
% 72.62/45.47 tff(7274,plain,
% 72.62/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41))),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7273, 7272])).
% 72.62/45.47 tff(7275,plain,
% 72.62/45.47 (v110(constB42) | (~v108(constB41))),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7274, 317, 7228])).
% 72.62/45.47 tff(7276,plain,
% 72.62/45.47 (~v108(constB41)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7275, 7268])).
% 72.62/45.47 tff(7277,plain,
% 72.62/45.47 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB41) | (~v112(constB41)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB41) | (~v112(constB41)))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7278,plain,
% 72.62/45.47 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB41) | (~v112(constB41)))),
% 72.62/45.47 inference(quant_inst,[status(thm)],[])).
% 72.62/45.47 tff(7279,plain,
% 72.62/45.47 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB41) | (~v112(constB41))),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7278, 7277])).
% 72.62/45.47 tff(7280,plain,
% 72.62/45.47 ($false),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7279, 210, 7276, 7219])).
% 72.62/45.47 tff(7281,plain,(v26(constB41) | v90(constB42, bitIndex0) | (~v113(constB41)) | (~v130(constB41, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.62/45.47 tff(7282,plain,
% 72.62/45.47 (v90(constB42, bitIndex0) | (~v113(constB41)) | (~v130(constB41, bitIndex0))),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7281, 7212])).
% 72.62/45.47 tff(7283,plain,
% 72.62/45.47 (v90(constB42, bitIndex0)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7282, 7208, 7188])).
% 72.62/45.47 tff(7284,plain,
% 72.62/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB41, bitIndex0) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB41, bitIndex0) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex0)))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7285,plain,
% 72.62/45.47 (((~nextState(constB41, constB42)) | v90(constB41, bitIndex0) | v100(constB42) | (~v90(constB42, bitIndex0))) <=> (v90(constB41, bitIndex0) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex0)))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7286,plain,
% 72.62/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB41, constB42)) | v90(constB41, bitIndex0) | v100(constB42) | (~v90(constB42, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB41, bitIndex0) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex0))))),
% 72.62/45.47 inference(monotonicity,[status(thm)],[7285])).
% 72.62/45.47 tff(7287,plain,
% 72.62/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB41, constB42)) | v90(constB41, bitIndex0) | v100(constB42) | (~v90(constB42, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB41, bitIndex0) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex0)))),
% 72.62/45.47 inference(transitivity,[status(thm)],[7286, 7284])).
% 72.62/45.47 tff(7288,plain,
% 72.62/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB41, constB42)) | v90(constB41, bitIndex0) | v100(constB42) | (~v90(constB42, bitIndex0)))),
% 72.62/45.47 inference(quant_inst,[status(thm)],[])).
% 72.62/45.47 tff(7289,plain,
% 72.62/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB41, bitIndex0) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, bitIndex0))),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7288, 7287])).
% 72.62/45.47 tff(7290,plain,
% 72.62/45.47 (v90(constB41, bitIndex0) | v100(constB42) | (~v90(constB42, bitIndex0))),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7289, 130, 7228])).
% 72.62/45.47 tff(7291,plain,
% 72.62/45.47 (v100(constB42)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7290, 7283, 7115])).
% 72.62/45.47 tff(7292,plain,
% 72.62/45.47 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB41)) | (~v130(constB41, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB41)) | (~v130(constB41, bitIndex2)))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7293,plain,
% 72.62/45.47 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB41)) | (~v130(constB41, bitIndex2)))),
% 72.62/45.47 inference(quant_inst,[status(thm)],[])).
% 72.62/45.47 tff(7294,plain,
% 72.62/45.47 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB41)) | (~v130(constB41, bitIndex2))),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7293, 7292])).
% 72.62/45.47 tff(7295,plain,
% 72.62/45.47 (~v130(constB41, bitIndex2)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7294, 1059, 7184])).
% 72.62/45.47 tff(7296,plain,
% 72.62/45.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7297,plain,
% 72.62/45.47 ((v26(constB41) | v130(constB41, bitIndex2) | (~v127(constB41, bitIndex2))) <=> ((~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7298,plain,
% 72.62/45.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB41) | v130(constB41, bitIndex2) | (~v127(constB41, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2)))),
% 72.62/45.47 inference(monotonicity,[status(thm)],[7297])).
% 72.62/45.47 tff(7299,plain,
% 72.62/45.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB41) | v130(constB41, bitIndex2) | (~v127(constB41, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2))),
% 72.62/45.47 inference(transitivity,[status(thm)],[7298, 7296])).
% 72.62/45.47 tff(7300,plain,
% 72.62/45.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB41) | v130(constB41, bitIndex2) | (~v127(constB41, bitIndex2)))),
% 72.62/45.47 inference(quant_inst,[status(thm)],[])).
% 72.62/45.47 tff(7301,plain,
% 72.62/45.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB41, bitIndex2)) | v26(constB41) | v130(constB41, bitIndex2)),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7300, 7299])).
% 72.62/45.47 tff(7302,plain,
% 72.62/45.47 ((~v127(constB41, bitIndex2)) | v130(constB41, bitIndex2)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7301, 470, 7212])).
% 72.62/45.47 tff(7303,plain,
% 72.62/45.47 (~v127(constB41, bitIndex2)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7302, 7295])).
% 72.62/45.47 tff(7304,plain,
% 72.62/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB41, constB42)) | v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB41, constB42)) | v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2)))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7305,plain,
% 72.62/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB41, constB42)) | v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2)))),
% 72.62/45.47 inference(quant_inst,[status(thm)],[])).
% 72.62/45.47 tff(7306,plain,
% 72.62/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB41, constB42)) | v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2))),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7305, 7304])).
% 72.62/45.47 tff(7307,plain,
% 72.62/45.47 (v127(constB41, bitIndex2) | (~v129(constB42, bitIndex2))),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7306, 488, 7228])).
% 72.62/45.47 tff(7308,plain,
% 72.62/45.47 (~v129(constB42, bitIndex2)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7307, 7303])).
% 72.62/45.47 tff(7309,plain,
% 72.62/45.47 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42)))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7310,plain,
% 72.62/45.47 (((~v90(constB42, bitIndex2)) | (~v100(constB42)) | v129(constB42, bitIndex2)) <=> ((~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42)))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7311,plain,
% 72.62/45.47 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB42, bitIndex2)) | (~v100(constB42)) | v129(constB42, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42))))),
% 72.62/45.47 inference(monotonicity,[status(thm)],[7310])).
% 72.62/45.47 tff(7312,plain,
% 72.62/45.47 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB42, bitIndex2)) | (~v100(constB42)) | v129(constB42, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42)))),
% 72.62/45.47 inference(transitivity,[status(thm)],[7311, 7309])).
% 72.62/45.47 tff(7313,plain,
% 72.62/45.47 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB42, bitIndex2)) | (~v100(constB42)) | v129(constB42, bitIndex2))),
% 72.62/45.47 inference(quant_inst,[status(thm)],[])).
% 72.62/45.47 tff(7314,plain,
% 72.62/45.47 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2) | (~v100(constB42))),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7313, 7312])).
% 72.62/45.47 tff(7315,plain,
% 72.62/45.47 ((~v90(constB42, bitIndex2)) | (~v100(constB42))),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7314, 503, 7308])).
% 72.62/45.47 tff(7316,plain,
% 72.62/45.47 (~v90(constB42, bitIndex2)),
% 72.62/45.47 inference(unit_resolution,[status(thm)],[7315, 7291])).
% 72.62/45.47 tff(7317,plain,
% 72.62/45.47 ((~v1(constB43)) <=> (~v1(constB43))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7318,axiom,(~v1(constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_43_1_1')).
% 72.62/45.47 tff(7319,plain,
% 72.62/45.47 (~v1(constB43)),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7318, 7317])).
% 72.62/45.47 tff(7320,plain,
% 72.62/45.47 (nextState(constB42, constB43) <=> nextState(constB42, constB43)),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7321,axiom,(nextState(constB42, constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_42_1')).
% 72.62/45.47 tff(7322,plain,
% 72.62/45.47 (nextState(constB42, constB43)),
% 72.62/45.47 inference(modus_ponens,[status(thm)],[7321, 7320])).
% 72.62/45.47 tff(7323,plain,
% 72.62/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7324,plain,
% 72.62/45.47 (((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43)) <=> (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 72.62/45.47 inference(rewrite,[status(thm)],[])).
% 72.62/45.47 tff(7325,plain,
% 72.62/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43))))),
% 72.62/45.47 inference(monotonicity,[status(thm)],[7324])).
% 72.62/45.47 tff(7326,plain,
% 72.62/45.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 72.62/45.47 inference(transitivity,[status(thm)],[7325, 7323])).
% 72.62/45.47 tff(7327,plain,
% 72.62/45.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))),
% 72.62/45.47 inference(quant_inst,[status(thm)],[])).
% 72.62/45.48 tff(7328,plain,
% 72.62/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43))),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7327, 7326])).
% 72.62/45.48 tff(7329,plain,
% 72.62/45.48 (~v101(constB43)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7328, 56, 7322, 7319])).
% 72.62/45.48 tff(7330,plain,
% 72.62/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7331,plain,
% 72.62/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))),
% 72.62/45.48 inference(quant_inst,[status(thm)],[])).
% 72.62/45.48 tff(7332,plain,
% 72.62/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43))),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7331, 7330])).
% 72.62/45.48 tff(7333,plain,
% 72.62/45.48 (v101(constB43) | (~v100(constB43))),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7332, 73, 7322])).
% 72.62/45.48 tff(7334,plain,
% 72.62/45.48 (~v100(constB43)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7333, 7329])).
% 72.62/45.48 tff(7335,plain,
% 72.62/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2)))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7336,plain,
% 72.62/45.48 (((~nextState(constB42, constB43)) | v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2))) <=> (v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2)))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7337,plain,
% 72.62/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2))))),
% 72.62/45.48 inference(monotonicity,[status(thm)],[7336])).
% 72.62/45.48 tff(7338,plain,
% 72.62/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2)))),
% 72.62/45.48 inference(transitivity,[status(thm)],[7337, 7335])).
% 72.62/45.48 tff(7339,plain,
% 72.62/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB42, constB43)) | v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2)))),
% 72.62/45.48 inference(quant_inst,[status(thm)],[])).
% 72.62/45.48 tff(7340,plain,
% 72.62/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex2))),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7339, 7338])).
% 72.62/45.48 tff(7341,plain,
% 72.62/45.48 (v90(constB42, bitIndex2) | v100(constB43) | (~v90(constB43, bitIndex2))),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7340, 88, 7322])).
% 72.62/45.48 tff(7342,plain,
% 72.62/45.48 (v90(constB42, bitIndex2) | (~v90(constB43, bitIndex2))),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7341, 7334])).
% 72.62/45.48 tff(7343,plain,
% 72.62/45.48 (~v90(constB43, bitIndex2)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7342, 7316])).
% 72.62/45.48 tff(7344,plain,
% 72.62/45.48 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB41)) | v130(constB41, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB41)) | v130(constB41, bitIndex1))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7345,plain,
% 72.62/45.48 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB41)) | v130(constB41, bitIndex1))),
% 72.62/45.48 inference(quant_inst,[status(thm)],[])).
% 72.62/45.48 tff(7346,plain,
% 72.62/45.48 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB41)) | v130(constB41, bitIndex1)),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7345, 7344])).
% 72.62/45.48 tff(7347,plain,
% 72.62/45.48 (v130(constB41, bitIndex1)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7346, 1121, 7184])).
% 72.62/45.48 tff(7348,plain,
% 72.62/45.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB41) | (~v130(constB41, bitIndex1)) | v127(constB41, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB41) | (~v130(constB41, bitIndex1)) | v127(constB41, bitIndex1))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7349,plain,
% 72.62/45.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB41) | (~v130(constB41, bitIndex1)) | v127(constB41, bitIndex1))),
% 72.62/45.48 inference(quant_inst,[status(thm)],[])).
% 72.62/45.48 tff(7350,plain,
% 72.62/45.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB41) | (~v130(constB41, bitIndex1)) | v127(constB41, bitIndex1)),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7349, 7348])).
% 72.62/45.48 tff(7351,plain,
% 72.62/45.48 ((~v130(constB41, bitIndex1)) | v127(constB41, bitIndex1)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7350, 824, 7212])).
% 72.62/45.48 tff(7352,plain,
% 72.62/45.48 (v127(constB41, bitIndex1)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7351, 7347])).
% 72.62/45.48 tff(7353,plain,
% 72.62/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB41, constB42)) | (~v127(constB41, bitIndex1)) | v129(constB42, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB41, constB42)) | (~v127(constB41, bitIndex1)) | v129(constB42, bitIndex1))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7354,plain,
% 72.62/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB41, constB42)) | (~v127(constB41, bitIndex1)) | v129(constB42, bitIndex1))),
% 72.62/45.48 inference(quant_inst,[status(thm)],[])).
% 72.62/45.48 tff(7355,plain,
% 72.62/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB41, constB42)) | (~v127(constB41, bitIndex1)) | v129(constB42, bitIndex1)),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7354, 7353])).
% 72.62/45.48 tff(7356,plain,
% 72.62/45.48 ((~v127(constB41, bitIndex1)) | v129(constB42, bitIndex1)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7355, 839, 7228])).
% 72.62/45.48 tff(7357,plain,
% 72.62/45.48 (v129(constB42, bitIndex1)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7356, 7352])).
% 72.62/45.48 tff(7358,plain,
% 72.62/45.48 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1)) | (~v100(constB42)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1)) | (~v100(constB42)))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7359,plain,
% 72.62/45.48 ((v90(constB42, bitIndex1) | (~v100(constB42)) | (~v129(constB42, bitIndex1))) <=> (v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1)) | (~v100(constB42)))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7360,plain,
% 72.62/45.48 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~v100(constB42)) | (~v129(constB42, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1)) | (~v100(constB42))))),
% 72.62/45.48 inference(monotonicity,[status(thm)],[7359])).
% 72.62/45.48 tff(7361,plain,
% 72.62/45.48 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~v100(constB42)) | (~v129(constB42, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1)) | (~v100(constB42)))),
% 72.62/45.48 inference(transitivity,[status(thm)],[7360, 7358])).
% 72.62/45.48 tff(7362,plain,
% 72.62/45.48 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB42, bitIndex1) | (~v100(constB42)) | (~v129(constB42, bitIndex1)))),
% 72.62/45.48 inference(quant_inst,[status(thm)],[])).
% 72.62/45.48 tff(7363,plain,
% 72.62/45.48 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1)) | (~v100(constB42))),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7362, 7361])).
% 72.62/45.48 tff(7364,plain,
% 72.62/45.48 (v90(constB42, bitIndex1) | (~v100(constB42))),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7363, 854, 7357])).
% 72.62/45.48 tff(7365,plain,
% 72.62/45.48 (v90(constB42, bitIndex1)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7364, 7291])).
% 72.62/45.48 tff(7366,plain,
% 72.62/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex1))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7367,plain,
% 72.62/45.48 (((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex1)) | v100(constB43) | v90(constB43, bitIndex1)) <=> ((~v90(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex1))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7368,plain,
% 72.62/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex1)) | v100(constB43) | v90(constB43, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex1)))),
% 72.62/45.48 inference(monotonicity,[status(thm)],[7367])).
% 72.62/45.48 tff(7369,plain,
% 72.62/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex1)) | v100(constB43) | v90(constB43, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex1))),
% 72.62/45.48 inference(transitivity,[status(thm)],[7368, 7366])).
% 72.62/45.48 tff(7370,plain,
% 72.62/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex1)) | v100(constB43) | v90(constB43, bitIndex1))),
% 72.62/45.48 inference(quant_inst,[status(thm)],[])).
% 72.62/45.48 tff(7371,plain,
% 72.62/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex1)),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7370, 7369])).
% 72.62/45.48 tff(7372,plain,
% 72.62/45.48 ((~v90(constB42, bitIndex1)) | v100(constB43) | v90(constB43, bitIndex1)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7371, 872, 7322])).
% 72.62/45.48 tff(7373,plain,
% 72.62/45.48 ((~v90(constB42, bitIndex1)) | v90(constB43, bitIndex1)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7372, 7334])).
% 72.62/45.48 tff(7374,plain,
% 72.62/45.48 (v90(constB43, bitIndex1)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7373, 7365])).
% 72.62/45.48 tff(7375,plain,
% 72.62/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex0))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7376,plain,
% 72.62/45.48 (((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex0)) | v100(constB43) | v90(constB43, bitIndex0)) <=> ((~v90(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex0))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7377,plain,
% 72.62/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex0)) | v100(constB43) | v90(constB43, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex0)))),
% 72.62/45.48 inference(monotonicity,[status(thm)],[7376])).
% 72.62/45.48 tff(7378,plain,
% 72.62/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex0)) | v100(constB43) | v90(constB43, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex0))),
% 72.62/45.48 inference(transitivity,[status(thm)],[7377, 7375])).
% 72.62/45.48 tff(7379,plain,
% 72.62/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex0)) | v100(constB43) | v90(constB43, bitIndex0))),
% 72.62/45.48 inference(quant_inst,[status(thm)],[])).
% 72.62/45.48 tff(7380,plain,
% 72.62/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex0)),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7379, 7378])).
% 72.62/45.48 tff(7381,plain,
% 72.62/45.48 ((~v90(constB42, bitIndex0)) | v100(constB43) | v90(constB43, bitIndex0)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7380, 437, 7322])).
% 72.62/45.48 tff(7382,plain,
% 72.62/45.48 ((~v90(constB42, bitIndex0)) | v90(constB43, bitIndex0)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7381, 7334])).
% 72.62/45.48 tff(7383,plain,
% 72.62/45.48 (v90(constB43, bitIndex0)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7382, 7283])).
% 72.62/45.48 tff(7384,plain,
% 72.62/45.48 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)) | v90(constB43, bitIndex2) | v122(constB43))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)) | v90(constB43, bitIndex2) | v122(constB43))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7385,plain,
% 72.62/45.48 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)) | v90(constB43, bitIndex2) | v122(constB43))),
% 72.62/45.48 inference(quant_inst,[status(thm)],[])).
% 72.62/45.48 tff(7386,plain,
% 72.62/45.48 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)) | v90(constB43, bitIndex2) | v122(constB43)),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7385, 7384])).
% 72.62/45.48 tff(7387,plain,
% 72.62/45.48 (v122(constB43)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7386, 1203, 7383, 7374, 7343])).
% 72.62/45.48 tff(7388,plain,
% 72.62/45.48 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB43) | (~v122(constB43)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB43) | (~v122(constB43)))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7389,plain,
% 72.62/45.48 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB43) | (~v122(constB43)))),
% 72.62/45.48 inference(quant_inst,[status(thm)],[])).
% 72.62/45.48 tff(7390,plain,
% 72.62/45.48 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB43) | (~v122(constB43))),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7389, 7388])).
% 72.62/45.48 tff(7391,plain,
% 72.62/45.48 (v116(constB43)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7390, 1214, 7387])).
% 72.62/45.48 tff(7392,plain,
% 72.62/45.48 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB43) | (~v116(constB43)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB43) | (~v116(constB43)))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7393,plain,
% 72.62/45.48 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB43) | (~v116(constB43)))),
% 72.62/45.48 inference(quant_inst,[status(thm)],[])).
% 72.62/45.48 tff(7394,plain,
% 72.62/45.48 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB43) | (~v116(constB43))),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7393, 7392])).
% 72.62/45.48 tff(7395,plain,
% 72.62/45.48 (v115(constB43)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7394, 265, 7391])).
% 72.62/45.48 tff(7396,plain,
% 72.62/45.48 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB43) | (~v115(constB43)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB43) | (~v115(constB43)))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7397,plain,
% 72.62/45.48 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB43) | (~v115(constB43)))),
% 72.62/45.48 inference(quant_inst,[status(thm)],[])).
% 72.62/45.48 tff(7398,plain,
% 72.62/45.48 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB43) | (~v115(constB43))),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7397, 7396])).
% 72.62/45.48 tff(7399,plain,
% 72.62/45.48 (v114(constB43)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7398, 276, 7395])).
% 72.62/45.48 tff(7400,plain,
% 72.62/45.48 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB43) | (~v114(constB43)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB43) | (~v114(constB43)))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7401,plain,
% 72.62/45.48 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB43) | (~v114(constB43)))),
% 72.62/45.48 inference(quant_inst,[status(thm)],[])).
% 72.62/45.48 tff(7402,plain,
% 72.62/45.48 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB43) | (~v114(constB43))),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7401, 7400])).
% 72.62/45.48 tff(7403,plain,
% 72.62/45.48 (v113(constB43)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7402, 287, 7399])).
% 72.62/45.48 tff(7404,assumption,(~v108(constB43)), introduced(assumption)).
% 72.62/45.48 tff(7405,plain,
% 72.62/45.48 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB43) | (~v112(constB43)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB43) | (~v112(constB43)))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7406,plain,
% 72.62/45.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB43) | (~v112(constB43)))),
% 72.62/45.48 inference(quant_inst,[status(thm)],[])).
% 72.62/45.48 tff(7407,plain,
% 72.62/45.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB43) | (~v112(constB43))),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7406, 7405])).
% 72.62/45.48 tff(7408,plain,
% 72.62/45.48 (~v112(constB43)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7407, 210, 7404])).
% 72.62/45.48 tff(7409,plain,
% 72.62/45.48 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB43) | (~v26(constB43)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB43) | (~v26(constB43)))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7410,plain,
% 72.62/45.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB43) | (~v26(constB43)))),
% 72.62/45.48 inference(quant_inst,[status(thm)],[])).
% 72.62/45.48 tff(7411,plain,
% 72.62/45.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB43) | (~v26(constB43))),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7410, 7409])).
% 72.62/45.48 tff(7412,plain,
% 72.62/45.48 (~v26(constB43)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7411, 221, 7404])).
% 72.62/45.48 tff(7413,assumption,(v113(constB43)), introduced(assumption)).
% 72.62/45.48 tff(7414,plain,
% 72.62/45.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | v112(constB43) | (~v113(constB43)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | v112(constB43) | (~v113(constB43)))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7415,plain,
% 72.62/45.48 ((v26(constB43) | (~v113(constB43)) | v112(constB43)) <=> (v26(constB43) | v112(constB43) | (~v113(constB43)))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7416,plain,
% 72.62/45.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | v112(constB43) | (~v113(constB43))))),
% 72.62/45.48 inference(monotonicity,[status(thm)],[7415])).
% 72.62/45.48 tff(7417,plain,
% 72.62/45.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | v112(constB43) | (~v113(constB43)))),
% 72.62/45.48 inference(transitivity,[status(thm)],[7416, 7414])).
% 72.62/45.48 tff(7418,plain,
% 72.62/45.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))),
% 72.62/45.48 inference(quant_inst,[status(thm)],[])).
% 72.62/45.48 tff(7419,plain,
% 72.62/45.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | v112(constB43) | (~v113(constB43))),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7418, 7417])).
% 72.62/45.48 tff(7420,plain,
% 72.62/45.48 (v26(constB43) | v112(constB43)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7419, 301, 7413])).
% 72.62/45.48 tff(7421,plain,
% 72.62/45.48 ($false),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7420, 7412, 7408])).
% 72.62/45.48 tff(7422,plain,(v108(constB43) | (~v113(constB43))), inference(lemma,lemma(discharge,[]))).
% 72.62/45.48 tff(7423,plain,
% 72.62/45.48 (v108(constB43)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7422, 7403])).
% 72.62/45.48 tff(7424,plain,
% 72.62/45.48 (nextState(constB43, constB44) <=> nextState(constB43, constB44)),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7425,axiom,(nextState(constB43, constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_43_1')).
% 72.62/45.48 tff(7426,plain,
% 72.62/45.48 (nextState(constB43, constB44)),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7425, 7424])).
% 72.62/45.48 tff(7427,plain,
% 72.62/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7428,plain,
% 72.62/45.48 (((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44)) <=> ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7429,plain,
% 72.62/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43))))),
% 72.62/45.48 inference(monotonicity,[status(thm)],[7428])).
% 72.62/45.48 tff(7430,plain,
% 72.62/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 72.62/45.48 inference(transitivity,[status(thm)],[7429, 7427])).
% 72.62/45.48 tff(7431,plain,
% 72.62/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))),
% 72.62/45.48 inference(quant_inst,[status(thm)],[])).
% 72.62/45.48 tff(7432,plain,
% 72.62/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43))),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7431, 7430])).
% 72.62/45.48 tff(7433,plain,
% 72.62/45.48 (v110(constB44) | (~v108(constB43))),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7432, 317, 7426])).
% 72.62/45.48 tff(7434,plain,
% 72.62/45.48 (v110(constB44)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7433, 7423])).
% 72.62/45.48 tff(7435,plain,
% 72.62/45.48 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7436,plain,
% 72.62/45.48 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))),
% 72.62/45.48 inference(quant_inst,[status(thm)],[])).
% 72.62/45.48 tff(7437,plain,
% 72.62/45.48 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44))),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7436, 7435])).
% 72.62/45.48 tff(7438,plain,
% 72.62/45.48 (~v104(constB44)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7437, 335, 7426, 7319])).
% 72.62/45.48 tff(7439,plain,
% 72.62/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7440,plain,
% 72.62/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))),
% 72.62/45.48 inference(quant_inst,[status(thm)],[])).
% 72.62/45.48 tff(7441,plain,
% 72.62/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v102(constB44) | v104(constB44)),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7440, 7439])).
% 72.62/45.48 tff(7442,plain,
% 72.62/45.48 (v102(constB44) | v104(constB44)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7441, 349, 7426])).
% 72.62/45.48 tff(7443,plain,
% 72.62/45.48 (v102(constB44)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7442, 7438])).
% 72.62/45.48 tff(7444,plain,
% 72.62/45.48 (v1(constB44) <=> v1(constB44)),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7445,axiom,(v1(constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_44_1')).
% 72.62/45.48 tff(7446,plain,
% 72.62/45.48 (v1(constB44)),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7445, 7444])).
% 72.62/45.48 tff(7447,plain,
% 72.62/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7448,plain,
% 72.62/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))),
% 72.62/45.48 inference(quant_inst,[status(thm)],[])).
% 72.62/45.48 tff(7449,plain,
% 72.62/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44))),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7448, 7447])).
% 72.62/45.48 tff(7450,plain,
% 72.62/45.48 (v101(constB44) | (~v102(constB44))),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7449, 367, 7426, 7446])).
% 72.62/45.48 tff(7451,plain,
% 72.62/45.48 (v101(constB44)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7450, 7443])).
% 72.62/45.48 tff(7452,plain,
% 72.62/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7453,plain,
% 72.62/45.48 (((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44)) <=> ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7454,plain,
% 72.62/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44))))),
% 72.62/45.48 inference(monotonicity,[status(thm)],[7453])).
% 72.62/45.48 tff(7455,plain,
% 72.62/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 72.62/45.48 inference(transitivity,[status(thm)],[7454, 7452])).
% 72.62/45.48 tff(7456,plain,
% 72.62/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))),
% 72.62/45.48 inference(quant_inst,[status(thm)],[])).
% 72.62/45.48 tff(7457,plain,
% 72.62/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44))),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7456, 7455])).
% 72.62/45.48 tff(7458,plain,
% 72.62/45.48 (v100(constB44) | (~v101(constB44)) | (~v110(constB44))),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7457, 382, 7426])).
% 72.62/45.48 tff(7459,plain,
% 72.62/45.48 (v100(constB44) | (~v110(constB44))),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7458, 7451])).
% 72.62/45.48 tff(7460,plain,
% 72.62/45.48 (v100(constB44)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7459, 7434])).
% 72.62/45.48 tff(7461,plain,
% 72.62/45.48 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB43)) | v130(constB43, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB43)) | v130(constB43, bitIndex2))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7462,plain,
% 72.62/45.48 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB43)) | v130(constB43, bitIndex2))),
% 72.62/45.48 inference(quant_inst,[status(thm)],[])).
% 72.62/45.48 tff(7463,plain,
% 72.62/45.48 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB43)) | v130(constB43, bitIndex2)),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7462, 7461])).
% 72.62/45.48 tff(7464,plain,
% 72.62/45.48 (v130(constB43, bitIndex2)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7463, 1290, 7387])).
% 72.62/45.48 tff(7465,assumption,(v26(constB43)), introduced(assumption)).
% 72.62/45.48 tff(7466,plain,
% 72.62/45.48 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB43))),
% 72.62/45.48 inference(quant_inst,[status(thm)],[])).
% 72.62/45.48 tff(7467,plain,
% 72.62/45.48 ($false),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7466, 37, 7465])).
% 72.62/45.48 tff(7468,plain,(~v26(constB43)), inference(lemma,lemma(discharge,[]))).
% 72.62/45.48 tff(7469,plain,
% 72.62/45.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7470,plain,
% 72.62/45.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2))),
% 72.62/45.48 inference(quant_inst,[status(thm)],[])).
% 72.62/45.48 tff(7471,plain,
% 72.62/45.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2)),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7470, 7469])).
% 72.62/45.48 tff(7472,plain,
% 72.62/45.48 ((~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7471, 1304, 7468])).
% 72.62/45.48 tff(7473,plain,
% 72.62/45.48 (v127(constB43, bitIndex2)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7472, 7464])).
% 72.62/45.48 tff(7474,plain,
% 72.62/45.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7475,plain,
% 72.62/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2))),
% 72.62/45.48 inference(quant_inst,[status(thm)],[])).
% 72.62/45.48 tff(7476,plain,
% 72.62/45.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2)),
% 72.62/45.48 inference(modus_ponens,[status(thm)],[7475, 7474])).
% 72.62/45.48 tff(7477,plain,
% 72.62/45.48 ((~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7476, 1319, 7426])).
% 72.62/45.48 tff(7478,plain,
% 72.62/45.48 (v129(constB44, bitIndex2)),
% 72.62/45.48 inference(unit_resolution,[status(thm)],[7477, 7473])).
% 72.62/45.48 tff(7479,plain,
% 72.62/45.48 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))),
% 72.62/45.48 inference(rewrite,[status(thm)],[])).
% 72.62/45.48 tff(7480,plain,
% 72.62/45.48 ((v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2))) <=> (v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7481,plain,
% 72.62/45.49 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44))))),
% 72.62/45.49 inference(monotonicity,[status(thm)],[7480])).
% 72.62/45.49 tff(7482,plain,
% 72.62/45.49 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))),
% 72.62/45.49 inference(transitivity,[status(thm)],[7481, 7479])).
% 72.62/45.49 tff(7483,plain,
% 72.62/45.49 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2)))),
% 72.62/45.49 inference(quant_inst,[status(thm)],[])).
% 72.62/45.49 tff(7484,plain,
% 72.62/45.49 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44))),
% 72.62/45.49 inference(modus_ponens,[status(thm)],[7483, 7482])).
% 72.62/45.49 tff(7485,plain,
% 72.62/45.49 (v90(constB44, bitIndex2) | (~v100(constB44))),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7484, 1334, 7478])).
% 72.62/45.49 tff(7486,plain,
% 72.62/45.49 (v90(constB44, bitIndex2)),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7485, 7460])).
% 72.62/45.49 tff(7487,plain,
% 72.62/45.49 ((~v1(constB45)) <=> (~v1(constB45))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7488,axiom,(~v1(constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_45_1_1')).
% 72.62/45.49 tff(7489,plain,
% 72.62/45.49 (~v1(constB45)),
% 72.62/45.49 inference(modus_ponens,[status(thm)],[7488, 7487])).
% 72.62/45.49 tff(7490,plain,
% 72.62/45.49 (nextState(constB44, constB45) <=> nextState(constB44, constB45)),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7491,axiom,(nextState(constB44, constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_44_1')).
% 72.62/45.49 tff(7492,plain,
% 72.62/45.49 (nextState(constB44, constB45)),
% 72.62/45.49 inference(modus_ponens,[status(thm)],[7491, 7490])).
% 72.62/45.49 tff(7493,plain,
% 72.62/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7494,plain,
% 72.62/45.49 (((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45)) <=> (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7495,plain,
% 72.62/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45))))),
% 72.62/45.49 inference(monotonicity,[status(thm)],[7494])).
% 72.62/45.49 tff(7496,plain,
% 72.62/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 72.62/45.49 inference(transitivity,[status(thm)],[7495, 7493])).
% 72.62/45.49 tff(7497,plain,
% 72.62/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))),
% 72.62/45.49 inference(quant_inst,[status(thm)],[])).
% 72.62/45.49 tff(7498,plain,
% 72.62/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45))),
% 72.62/45.49 inference(modus_ponens,[status(thm)],[7497, 7496])).
% 72.62/45.49 tff(7499,plain,
% 72.62/45.49 (~v101(constB45)),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7498, 56, 7492, 7489])).
% 72.62/45.49 tff(7500,plain,
% 72.62/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7501,plain,
% 72.62/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))),
% 72.62/45.49 inference(quant_inst,[status(thm)],[])).
% 72.62/45.49 tff(7502,plain,
% 72.62/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45))),
% 72.62/45.49 inference(modus_ponens,[status(thm)],[7501, 7500])).
% 72.62/45.49 tff(7503,plain,
% 72.62/45.49 (v101(constB45) | (~v100(constB45))),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7502, 73, 7492])).
% 72.62/45.49 tff(7504,plain,
% 72.62/45.49 (~v100(constB45)),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7503, 7499])).
% 72.62/45.49 tff(7505,plain,
% 72.62/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7506,plain,
% 72.62/45.49 (((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2)) <=> ((~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7507,plain,
% 72.62/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2)))),
% 72.62/45.49 inference(monotonicity,[status(thm)],[7506])).
% 72.62/45.49 tff(7508,plain,
% 72.62/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))),
% 72.62/45.49 inference(transitivity,[status(thm)],[7507, 7505])).
% 72.62/45.49 tff(7509,plain,
% 72.62/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2))),
% 72.62/45.49 inference(quant_inst,[status(thm)],[])).
% 72.62/45.49 tff(7510,plain,
% 72.62/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2)),
% 72.62/45.49 inference(modus_ponens,[status(thm)],[7509, 7508])).
% 72.62/45.49 tff(7511,plain,
% 72.62/45.49 ((~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2)),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7510, 1370, 7492])).
% 72.62/45.49 tff(7512,plain,
% 72.62/45.49 ((~v90(constB44, bitIndex2)) | v90(constB45, bitIndex2)),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7511, 7504])).
% 72.62/45.49 tff(7513,plain,
% 72.62/45.49 (v90(constB45, bitIndex2)),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7512, 7486])).
% 72.62/45.49 tff(7514,plain,
% 72.62/45.49 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB43)) | (~v130(constB43, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB43)) | (~v130(constB43, bitIndex1)))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7515,plain,
% 72.62/45.49 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB43)) | (~v130(constB43, bitIndex1)))),
% 72.62/45.49 inference(quant_inst,[status(thm)],[])).
% 72.62/45.49 tff(7516,plain,
% 72.62/45.49 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB43)) | (~v130(constB43, bitIndex1))),
% 72.62/45.49 inference(modus_ponens,[status(thm)],[7515, 7514])).
% 72.62/45.49 tff(7517,plain,
% 72.62/45.49 (~v130(constB43, bitIndex1)),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7516, 1389, 7387])).
% 72.62/45.49 tff(7518,plain,
% 72.62/45.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7519,plain,
% 72.62/45.49 ((v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1))) <=> ((~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7520,plain,
% 72.62/45.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1)))),
% 72.62/45.49 inference(monotonicity,[status(thm)],[7519])).
% 72.62/45.49 tff(7521,plain,
% 72.62/45.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1))),
% 72.62/45.49 inference(transitivity,[status(thm)],[7520, 7518])).
% 72.62/45.49 tff(7522,plain,
% 72.62/45.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB43) | v130(constB43, bitIndex1) | (~v127(constB43, bitIndex1)))),
% 72.62/45.49 inference(quant_inst,[status(thm)],[])).
% 72.62/45.49 tff(7523,plain,
% 72.62/45.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB43, bitIndex1)) | v26(constB43) | v130(constB43, bitIndex1)),
% 72.62/45.49 inference(modus_ponens,[status(thm)],[7522, 7521])).
% 72.62/45.49 tff(7524,plain,
% 72.62/45.49 ((~v127(constB43, bitIndex1)) | v130(constB43, bitIndex1)),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7523, 555, 7468])).
% 72.62/45.49 tff(7525,plain,
% 72.62/45.49 (~v127(constB43, bitIndex1)),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7524, 7517])).
% 72.62/45.49 tff(7526,plain,
% 72.62/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1)))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7527,plain,
% 72.62/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1)))),
% 72.62/45.49 inference(quant_inst,[status(thm)],[])).
% 72.62/45.49 tff(7528,plain,
% 72.62/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1))),
% 72.62/45.49 inference(modus_ponens,[status(thm)],[7527, 7526])).
% 72.62/45.49 tff(7529,plain,
% 72.62/45.49 (v127(constB43, bitIndex1) | (~v129(constB44, bitIndex1))),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7528, 588, 7426])).
% 72.62/45.49 tff(7530,plain,
% 72.62/45.49 (~v129(constB44, bitIndex1)),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7529, 7525])).
% 72.62/45.49 tff(7531,plain,
% 72.62/45.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44)))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7532,plain,
% 72.62/45.49 (((~v90(constB44, bitIndex1)) | (~v100(constB44)) | v129(constB44, bitIndex1)) <=> ((~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44)))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7533,plain,
% 72.62/45.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | (~v100(constB44)) | v129(constB44, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44))))),
% 72.62/45.49 inference(monotonicity,[status(thm)],[7532])).
% 72.62/45.49 tff(7534,plain,
% 72.62/45.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | (~v100(constB44)) | v129(constB44, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44)))),
% 72.62/45.49 inference(transitivity,[status(thm)],[7533, 7531])).
% 72.62/45.49 tff(7535,plain,
% 72.62/45.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB44, bitIndex1)) | (~v100(constB44)) | v129(constB44, bitIndex1))),
% 72.62/45.49 inference(quant_inst,[status(thm)],[])).
% 72.62/45.49 tff(7536,plain,
% 72.62/45.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1) | (~v100(constB44))),
% 72.62/45.49 inference(modus_ponens,[status(thm)],[7535, 7534])).
% 72.62/45.49 tff(7537,plain,
% 72.62/45.49 ((~v90(constB44, bitIndex1)) | (~v100(constB44))),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7536, 603, 7530])).
% 72.62/45.49 tff(7538,plain,
% 72.62/45.49 (~v90(constB44, bitIndex1)),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7537, 7460])).
% 72.62/45.49 tff(7539,plain,
% 72.62/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1)))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7540,plain,
% 72.62/45.49 (((~nextState(constB44, constB45)) | v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1))) <=> (v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1)))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7541,plain,
% 72.62/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1))))),
% 72.62/45.49 inference(monotonicity,[status(thm)],[7540])).
% 72.62/45.49 tff(7542,plain,
% 72.62/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1)))),
% 72.62/45.49 inference(transitivity,[status(thm)],[7541, 7539])).
% 72.62/45.49 tff(7543,plain,
% 72.62/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1)))),
% 72.62/45.49 inference(quant_inst,[status(thm)],[])).
% 72.62/45.49 tff(7544,plain,
% 72.62/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex1))),
% 72.62/45.49 inference(modus_ponens,[status(thm)],[7543, 7542])).
% 72.62/45.49 tff(7545,plain,
% 72.62/45.49 (v90(constB44, bitIndex1) | v100(constB45) | (~v90(constB45, bitIndex1))),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7544, 109, 7492])).
% 72.62/45.49 tff(7546,plain,
% 72.62/45.49 (v90(constB44, bitIndex1) | (~v90(constB45, bitIndex1))),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7545, 7504])).
% 72.62/45.49 tff(7547,plain,
% 72.62/45.49 (~v90(constB45, bitIndex1)),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7546, 7538])).
% 72.62/45.49 tff(7548,plain,
% 72.62/45.49 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB43)) | (~v130(constB43, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB43)) | (~v130(constB43, bitIndex0)))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7549,plain,
% 72.62/45.49 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB43)) | (~v130(constB43, bitIndex0)))),
% 72.62/45.49 inference(quant_inst,[status(thm)],[])).
% 72.62/45.49 tff(7550,plain,
% 72.62/45.49 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB43)) | (~v130(constB43, bitIndex0))),
% 72.62/45.49 inference(modus_ponens,[status(thm)],[7549, 7548])).
% 72.62/45.49 tff(7551,plain,
% 72.62/45.49 (~v130(constB43, bitIndex0)),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7550, 1433, 7387])).
% 72.62/45.49 tff(7552,plain,
% 72.62/45.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7553,plain,
% 72.62/45.49 ((v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0))) <=> ((~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7554,plain,
% 72.62/45.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0)))),
% 72.62/45.49 inference(monotonicity,[status(thm)],[7553])).
% 72.62/45.49 tff(7555,plain,
% 72.62/45.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))),
% 72.62/45.49 inference(transitivity,[status(thm)],[7554, 7552])).
% 72.62/45.49 tff(7556,plain,
% 72.62/45.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0)))),
% 72.62/45.49 inference(quant_inst,[status(thm)],[])).
% 72.62/45.49 tff(7557,plain,
% 72.62/45.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0)),
% 72.62/45.49 inference(modus_ponens,[status(thm)],[7556, 7555])).
% 72.62/45.49 tff(7558,plain,
% 72.62/45.49 ((~v127(constB43, bitIndex0)) | v130(constB43, bitIndex0)),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7557, 905, 7468])).
% 72.62/45.49 tff(7559,plain,
% 72.62/45.49 (~v127(constB43, bitIndex0)),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7558, 7551])).
% 72.62/45.49 tff(7560,plain,
% 72.62/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0)))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7561,plain,
% 72.62/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0)))),
% 72.62/45.49 inference(quant_inst,[status(thm)],[])).
% 72.62/45.49 tff(7562,plain,
% 72.62/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0))),
% 72.62/45.49 inference(modus_ponens,[status(thm)],[7561, 7560])).
% 72.62/45.49 tff(7563,plain,
% 72.62/45.49 (v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0))),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7562, 923, 7426])).
% 72.62/45.49 tff(7564,plain,
% 72.62/45.49 (~v129(constB44, bitIndex0)),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7563, 7559])).
% 72.62/45.49 tff(7565,plain,
% 72.62/45.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7566,plain,
% 72.62/45.49 (((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0)) <=> ((~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7567,plain,
% 72.62/45.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44))))),
% 72.62/45.49 inference(monotonicity,[status(thm)],[7566])).
% 72.62/45.49 tff(7568,plain,
% 72.62/45.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))),
% 72.62/45.49 inference(transitivity,[status(thm)],[7567, 7565])).
% 72.62/45.49 tff(7569,plain,
% 72.62/45.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0))),
% 72.62/45.49 inference(quant_inst,[status(thm)],[])).
% 72.62/45.49 tff(7570,plain,
% 72.62/45.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44))),
% 72.62/45.49 inference(modus_ponens,[status(thm)],[7569, 7568])).
% 72.62/45.49 tff(7571,plain,
% 72.62/45.49 ((~v90(constB44, bitIndex0)) | (~v100(constB44))),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7570, 938, 7564])).
% 72.62/45.49 tff(7572,plain,
% 72.62/45.49 (~v90(constB44, bitIndex0)),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7571, 7460])).
% 72.62/45.49 tff(7573,plain,
% 72.62/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7574,plain,
% 72.62/45.49 (((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0))) <=> (v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7575,plain,
% 72.62/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0))))),
% 72.62/45.49 inference(monotonicity,[status(thm)],[7574])).
% 72.62/45.49 tff(7576,plain,
% 72.62/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 72.62/45.49 inference(transitivity,[status(thm)],[7575, 7573])).
% 72.62/45.49 tff(7577,plain,
% 72.62/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 72.62/45.49 inference(quant_inst,[status(thm)],[])).
% 72.62/45.49 tff(7578,plain,
% 72.62/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0))),
% 72.62/45.49 inference(modus_ponens,[status(thm)],[7577, 7576])).
% 72.62/45.49 tff(7579,plain,
% 72.62/45.49 (v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0))),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7578, 130, 7492])).
% 72.62/45.49 tff(7580,plain,
% 72.62/45.49 (v90(constB44, bitIndex0) | (~v90(constB45, bitIndex0))),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7579, 7504])).
% 72.62/45.49 tff(7581,plain,
% 72.62/45.49 (~v90(constB45, bitIndex0)),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7580, 7572])).
% 72.62/45.49 tff(7582,plain,
% 72.62/45.49 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v123(constB45))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v123(constB45))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7583,plain,
% 72.62/45.49 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v123(constB45))),
% 72.62/45.49 inference(quant_inst,[status(thm)],[])).
% 72.62/45.49 tff(7584,plain,
% 72.62/45.49 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | v123(constB45)),
% 72.62/45.49 inference(modus_ponens,[status(thm)],[7583, 7582])).
% 72.62/45.49 tff(7585,plain,
% 72.62/45.49 (v123(constB45)),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7584, 1477, 7581, 7547, 7513])).
% 72.62/45.49 tff(7586,plain,
% 72.62/45.49 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB45) | (~v123(constB45)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB45) | (~v123(constB45)))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7587,plain,
% 72.62/45.49 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB45) | (~v123(constB45)))),
% 72.62/45.49 inference(quant_inst,[status(thm)],[])).
% 72.62/45.49 tff(7588,plain,
% 72.62/45.49 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB45) | (~v123(constB45))),
% 72.62/45.49 inference(modus_ponens,[status(thm)],[7587, 7586])).
% 72.62/45.49 tff(7589,plain,
% 72.62/45.49 (v115(constB45)),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7588, 1488, 7585])).
% 72.62/45.49 tff(7590,plain,
% 72.62/45.49 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB45) | (~v115(constB45)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB45) | (~v115(constB45)))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7591,plain,
% 72.62/45.49 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB45) | (~v115(constB45)))),
% 72.62/45.49 inference(quant_inst,[status(thm)],[])).
% 72.62/45.49 tff(7592,plain,
% 72.62/45.49 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB45) | (~v115(constB45))),
% 72.62/45.49 inference(modus_ponens,[status(thm)],[7591, 7590])).
% 72.62/45.49 tff(7593,plain,
% 72.62/45.49 (v114(constB45)),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7592, 276, 7589])).
% 72.62/45.49 tff(7594,assumption,(v114(constB45)), introduced(assumption)).
% 72.62/45.49 tff(7595,assumption,(~v113(constB45)), introduced(assumption)).
% 72.62/45.49 tff(7596,plain,
% 72.62/45.49 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB45) | (~v114(constB45)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB45) | (~v114(constB45)))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7597,plain,
% 72.62/45.49 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB45) | (~v114(constB45)))),
% 72.62/45.49 inference(quant_inst,[status(thm)],[])).
% 72.62/45.49 tff(7598,plain,
% 72.62/45.49 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB45) | (~v114(constB45))),
% 72.62/45.49 inference(modus_ponens,[status(thm)],[7597, 7596])).
% 72.62/45.49 tff(7599,plain,
% 72.62/45.49 ($false),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7598, 287, 7595, 7594])).
% 72.62/45.49 tff(7600,plain,(v113(constB45) | (~v114(constB45))), inference(lemma,lemma(discharge,[]))).
% 72.62/45.49 tff(7601,plain,
% 72.62/45.49 (v113(constB45)),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7600, 7593])).
% 72.62/45.49 tff(7602,assumption,(v26(constB45)), introduced(assumption)).
% 72.62/45.49 tff(7603,plain,
% 72.62/45.49 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB45))),
% 72.62/45.49 inference(quant_inst,[status(thm)],[])).
% 72.62/45.49 tff(7604,plain,
% 72.62/45.49 ($false),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7603, 37, 7602])).
% 72.62/45.49 tff(7605,plain,(~v26(constB45)), inference(lemma,lemma(discharge,[]))).
% 72.62/45.49 tff(7606,plain,
% 72.62/45.49 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | v112(constB45) | (~v113(constB45)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | v112(constB45) | (~v113(constB45)))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7607,plain,
% 72.62/45.49 ((v26(constB45) | (~v113(constB45)) | v112(constB45)) <=> (v26(constB45) | v112(constB45) | (~v113(constB45)))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7608,plain,
% 72.62/45.49 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | v112(constB45) | (~v113(constB45))))),
% 72.62/45.49 inference(monotonicity,[status(thm)],[7607])).
% 72.62/45.49 tff(7609,plain,
% 72.62/45.49 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | v112(constB45) | (~v113(constB45)))),
% 72.62/45.49 inference(transitivity,[status(thm)],[7608, 7606])).
% 72.62/45.49 tff(7610,plain,
% 72.62/45.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))),
% 72.62/45.49 inference(quant_inst,[status(thm)],[])).
% 72.62/45.49 tff(7611,plain,
% 72.62/45.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | v112(constB45) | (~v113(constB45))),
% 72.62/45.49 inference(modus_ponens,[status(thm)],[7610, 7609])).
% 72.62/45.49 tff(7612,plain,
% 72.62/45.49 (v112(constB45) | (~v113(constB45))),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7611, 301, 7605])).
% 72.62/45.49 tff(7613,plain,
% 72.62/45.49 (v112(constB45)),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7612, 7601])).
% 72.62/45.49 tff(7614,plain,
% 72.62/45.49 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB45) | (~v112(constB45)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB45) | (~v112(constB45)))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7615,plain,
% 72.62/45.49 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB45) | (~v112(constB45)))),
% 72.62/45.49 inference(quant_inst,[status(thm)],[])).
% 72.62/45.49 tff(7616,plain,
% 72.62/45.49 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB45) | (~v112(constB45))),
% 72.62/45.49 inference(modus_ponens,[status(thm)],[7615, 7614])).
% 72.62/45.49 tff(7617,plain,
% 72.62/45.49 (v108(constB45)),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7616, 210, 7613])).
% 72.62/45.49 tff(7618,plain,
% 72.62/45.49 (nextState(constB45, constB46) <=> nextState(constB45, constB46)),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7619,axiom,(nextState(constB45, constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_45_1')).
% 72.62/45.49 tff(7620,plain,
% 72.62/45.49 (nextState(constB45, constB46)),
% 72.62/45.49 inference(modus_ponens,[status(thm)],[7619, 7618])).
% 72.62/45.49 tff(7621,plain,
% 72.62/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7622,plain,
% 72.62/45.49 (((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46)) <=> ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7623,plain,
% 72.62/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45))))),
% 72.62/45.49 inference(monotonicity,[status(thm)],[7622])).
% 72.62/45.49 tff(7624,plain,
% 72.62/45.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 72.62/45.49 inference(transitivity,[status(thm)],[7623, 7621])).
% 72.62/45.49 tff(7625,plain,
% 72.62/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))),
% 72.62/45.49 inference(quant_inst,[status(thm)],[])).
% 72.62/45.49 tff(7626,plain,
% 72.62/45.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45))),
% 72.62/45.49 inference(modus_ponens,[status(thm)],[7625, 7624])).
% 72.62/45.49 tff(7627,plain,
% 72.62/45.49 (v110(constB46) | (~v108(constB45))),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7626, 317, 7620])).
% 72.62/45.49 tff(7628,plain,
% 72.62/45.49 (v110(constB46)),
% 72.62/45.49 inference(unit_resolution,[status(thm)],[7627, 7617])).
% 72.62/45.49 tff(7629,plain,
% 72.62/45.49 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))),
% 72.62/45.49 inference(rewrite,[status(thm)],[])).
% 72.62/45.49 tff(7630,plain,
% 72.62/45.49 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))),
% 72.62/45.49 inference(quant_inst,[status(thm)],[])).
% 72.62/45.49 tff(7631,plain,
% 72.62/45.49 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46))),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7630, 7629])).
% 72.62/45.50 tff(7632,plain,
% 72.62/45.50 (~v104(constB46)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7631, 335, 7620, 7489])).
% 72.62/45.50 tff(7633,plain,
% 72.62/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7634,plain,
% 72.62/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))),
% 72.62/45.50 inference(quant_inst,[status(thm)],[])).
% 72.62/45.50 tff(7635,plain,
% 72.62/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v102(constB46) | v104(constB46)),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7634, 7633])).
% 72.62/45.50 tff(7636,plain,
% 72.62/45.50 (v102(constB46) | v104(constB46)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7635, 349, 7620])).
% 72.62/45.50 tff(7637,plain,
% 72.62/45.50 (v102(constB46)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7636, 7632])).
% 72.62/45.50 tff(7638,plain,
% 72.62/45.50 (v1(constB46) <=> v1(constB46)),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7639,axiom,(v1(constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_46_1')).
% 72.62/45.50 tff(7640,plain,
% 72.62/45.50 (v1(constB46)),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7639, 7638])).
% 72.62/45.50 tff(7641,plain,
% 72.62/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7642,plain,
% 72.62/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))),
% 72.62/45.50 inference(quant_inst,[status(thm)],[])).
% 72.62/45.50 tff(7643,plain,
% 72.62/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46))),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7642, 7641])).
% 72.62/45.50 tff(7644,plain,
% 72.62/45.50 (v101(constB46) | (~v102(constB46))),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7643, 367, 7620, 7640])).
% 72.62/45.50 tff(7645,plain,
% 72.62/45.50 (v101(constB46)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7644, 7637])).
% 72.62/45.50 tff(7646,plain,
% 72.62/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7647,plain,
% 72.62/45.50 (((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46)) <=> ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7648,plain,
% 72.62/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46))))),
% 72.62/45.50 inference(monotonicity,[status(thm)],[7647])).
% 72.62/45.50 tff(7649,plain,
% 72.62/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 72.62/45.50 inference(transitivity,[status(thm)],[7648, 7646])).
% 72.62/45.50 tff(7650,plain,
% 72.62/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))),
% 72.62/45.50 inference(quant_inst,[status(thm)],[])).
% 72.62/45.50 tff(7651,plain,
% 72.62/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46))),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7650, 7649])).
% 72.62/45.50 tff(7652,plain,
% 72.62/45.50 (v100(constB46) | (~v101(constB46)) | (~v110(constB46))),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7651, 382, 7620])).
% 72.62/45.50 tff(7653,plain,
% 72.62/45.50 (v100(constB46) | (~v110(constB46))),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7652, 7645])).
% 72.62/45.50 tff(7654,plain,
% 72.62/45.50 (v100(constB46)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7653, 7628])).
% 72.62/45.50 tff(7655,plain,
% 72.62/45.50 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB45)) | v130(constB45, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB45)) | v130(constB45, bitIndex2))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7656,plain,
% 72.62/45.50 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB45)) | v130(constB45, bitIndex2))),
% 72.62/45.50 inference(quant_inst,[status(thm)],[])).
% 72.62/45.50 tff(7657,plain,
% 72.62/45.50 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB45)) | v130(constB45, bitIndex2)),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7656, 7655])).
% 72.62/45.50 tff(7658,plain,
% 72.62/45.50 (v130(constB45, bitIndex2)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7657, 1563, 7585])).
% 72.62/45.50 tff(7659,plain,
% 72.62/45.50 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB45) | (~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB45) | (~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7660,plain,
% 72.62/45.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB45) | (~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2))),
% 72.62/45.50 inference(quant_inst,[status(thm)],[])).
% 72.62/45.50 tff(7661,plain,
% 72.62/45.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB45) | (~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2)),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7660, 7659])).
% 72.62/45.50 tff(7662,plain,
% 72.62/45.50 ((~v130(constB45, bitIndex2)) | v127(constB45, bitIndex2)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7661, 1304, 7605])).
% 72.62/45.50 tff(7663,plain,
% 72.62/45.50 (v127(constB45, bitIndex2)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7662, 7658])).
% 72.62/45.50 tff(7664,plain,
% 72.62/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7665,plain,
% 72.62/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2))),
% 72.62/45.50 inference(quant_inst,[status(thm)],[])).
% 72.62/45.50 tff(7666,plain,
% 72.62/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2)),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7665, 7664])).
% 72.62/45.50 tff(7667,plain,
% 72.62/45.50 ((~v127(constB45, bitIndex2)) | v129(constB46, bitIndex2)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7666, 1319, 7620])).
% 72.62/45.50 tff(7668,plain,
% 72.62/45.50 (v129(constB46, bitIndex2)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7667, 7663])).
% 72.62/45.50 tff(7669,plain,
% 72.62/45.50 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46)))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7670,plain,
% 72.62/45.50 ((v90(constB46, bitIndex2) | (~v100(constB46)) | (~v129(constB46, bitIndex2))) <=> (v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46)))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7671,plain,
% 72.62/45.50 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~v100(constB46)) | (~v129(constB46, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46))))),
% 72.62/45.50 inference(monotonicity,[status(thm)],[7670])).
% 72.62/45.50 tff(7672,plain,
% 72.62/45.50 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~v100(constB46)) | (~v129(constB46, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46)))),
% 72.62/45.50 inference(transitivity,[status(thm)],[7671, 7669])).
% 72.62/45.50 tff(7673,plain,
% 72.62/45.50 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB46, bitIndex2) | (~v100(constB46)) | (~v129(constB46, bitIndex2)))),
% 72.62/45.50 inference(quant_inst,[status(thm)],[])).
% 72.62/45.50 tff(7674,plain,
% 72.62/45.50 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2)) | (~v100(constB46))),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7673, 7672])).
% 72.62/45.50 tff(7675,plain,
% 72.62/45.50 (v90(constB46, bitIndex2) | (~v100(constB46))),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7674, 1334, 7668])).
% 72.62/45.50 tff(7676,plain,
% 72.62/45.50 (v90(constB46, bitIndex2)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7675, 7654])).
% 72.62/45.50 tff(7677,plain,
% 72.62/45.50 ((~v1(constB47)) <=> (~v1(constB47))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7678,axiom,(~v1(constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_47_1_1')).
% 72.62/45.50 tff(7679,plain,
% 72.62/45.50 (~v1(constB47)),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7678, 7677])).
% 72.62/45.50 tff(7680,plain,
% 72.62/45.50 (nextState(constB46, constB47) <=> nextState(constB46, constB47)),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7681,axiom,(nextState(constB46, constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_46_1')).
% 72.62/45.50 tff(7682,plain,
% 72.62/45.50 (nextState(constB46, constB47)),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7681, 7680])).
% 72.62/45.50 tff(7683,plain,
% 72.62/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7684,plain,
% 72.62/45.50 (((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47)) <=> (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7685,plain,
% 72.62/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47))))),
% 72.62/45.50 inference(monotonicity,[status(thm)],[7684])).
% 72.62/45.50 tff(7686,plain,
% 72.62/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 72.62/45.50 inference(transitivity,[status(thm)],[7685, 7683])).
% 72.62/45.50 tff(7687,plain,
% 72.62/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))),
% 72.62/45.50 inference(quant_inst,[status(thm)],[])).
% 72.62/45.50 tff(7688,plain,
% 72.62/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47))),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7687, 7686])).
% 72.62/45.50 tff(7689,plain,
% 72.62/45.50 (~v101(constB47)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7688, 56, 7682, 7679])).
% 72.62/45.50 tff(7690,plain,
% 72.62/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7691,plain,
% 72.62/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))),
% 72.62/45.50 inference(quant_inst,[status(thm)],[])).
% 72.62/45.50 tff(7692,plain,
% 72.62/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47))),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7691, 7690])).
% 72.62/45.50 tff(7693,plain,
% 72.62/45.50 (v101(constB47) | (~v100(constB47))),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7692, 73, 7682])).
% 72.62/45.50 tff(7694,plain,
% 72.62/45.50 (~v100(constB47)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7693, 7689])).
% 72.62/45.50 tff(7695,plain,
% 72.62/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7696,plain,
% 72.62/45.50 (((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2)) <=> ((~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7697,plain,
% 72.62/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2)))),
% 72.62/45.50 inference(monotonicity,[status(thm)],[7696])).
% 72.62/45.50 tff(7698,plain,
% 72.62/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2))),
% 72.62/45.50 inference(transitivity,[status(thm)],[7697, 7695])).
% 72.62/45.50 tff(7699,plain,
% 72.62/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2))),
% 72.62/45.50 inference(quant_inst,[status(thm)],[])).
% 72.62/45.50 tff(7700,plain,
% 72.62/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex2)),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7699, 7698])).
% 72.62/45.50 tff(7701,plain,
% 72.62/45.50 ((~v90(constB46, bitIndex2)) | v100(constB47) | v90(constB47, bitIndex2)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7700, 1370, 7682])).
% 72.62/45.50 tff(7702,plain,
% 72.62/45.50 ((~v90(constB46, bitIndex2)) | v90(constB47, bitIndex2)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7701, 7694])).
% 72.62/45.50 tff(7703,plain,
% 72.62/45.50 (v90(constB47, bitIndex2)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7702, 7676])).
% 72.62/45.50 tff(7704,plain,
% 72.62/45.50 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB47, bitIndex2)) | v88(constB47, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB47, bitIndex2)) | v88(constB47, bitIndex2))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7705,plain,
% 72.62/45.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB47, bitIndex2)) | v88(constB47, bitIndex2))),
% 72.62/45.50 inference(quant_inst,[status(thm)],[])).
% 72.62/45.50 tff(7706,plain,
% 72.62/45.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB47, bitIndex2)) | v88(constB47, bitIndex2)),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7705, 7704])).
% 72.62/45.50 tff(7707,plain,
% 72.62/45.50 (v88(constB47, bitIndex2)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7706, 6015, 7703])).
% 72.62/45.50 tff(7708,plain,
% 72.62/45.50 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v140(constB47)) | (~v88(constB47, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB47)) | (~v88(constB47, bitIndex2)))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7709,plain,
% 72.62/45.50 (((~v88(constB47, bitIndex2)) | (~v140(constB47))) <=> ((~v140(constB47)) | (~v88(constB47, bitIndex2)))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7710,plain,
% 72.62/45.50 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB47, bitIndex2)) | (~v140(constB47)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v140(constB47)) | (~v88(constB47, bitIndex2))))),
% 72.62/45.50 inference(monotonicity,[status(thm)],[7709])).
% 72.62/45.50 tff(7711,plain,
% 72.62/45.50 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB47, bitIndex2)) | (~v140(constB47)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB47)) | (~v88(constB47, bitIndex2)))),
% 72.62/45.50 inference(transitivity,[status(thm)],[7710, 7708])).
% 72.62/45.50 tff(7712,plain,
% 72.62/45.50 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB47, bitIndex2)) | (~v140(constB47)))),
% 72.62/45.50 inference(quant_inst,[status(thm)],[])).
% 72.62/45.50 tff(7713,plain,
% 72.62/45.50 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB47)) | (~v88(constB47, bitIndex2))),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7712, 7711])).
% 72.62/45.50 tff(7714,plain,
% 72.62/45.50 (~v140(constB47)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7713, 6026, 7707])).
% 72.62/45.50 tff(7715,plain,
% 72.62/45.50 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB45)) | v130(constB45, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB45)) | v130(constB45, bitIndex0))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7716,plain,
% 72.62/45.50 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB45)) | v130(constB45, bitIndex0))),
% 72.62/45.50 inference(quant_inst,[status(thm)],[])).
% 72.62/45.50 tff(7717,plain,
% 72.62/45.50 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB45)) | v130(constB45, bitIndex0)),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7716, 7715])).
% 72.62/45.50 tff(7718,plain,
% 72.62/45.50 (v130(constB45, bitIndex0)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7717, 1666, 7585])).
% 72.62/45.50 tff(7719,plain,
% 72.62/45.50 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7720,plain,
% 72.62/45.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0))),
% 72.62/45.50 inference(quant_inst,[status(thm)],[])).
% 72.62/45.50 tff(7721,plain,
% 72.62/45.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0)),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7720, 7719])).
% 72.62/45.50 tff(7722,plain,
% 72.62/45.50 ((~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7721, 179, 7605])).
% 72.62/45.50 tff(7723,plain,
% 72.62/45.50 (v127(constB45, bitIndex0)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7722, 7718])).
% 72.62/45.50 tff(7724,plain,
% 72.62/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7725,plain,
% 72.62/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0))),
% 72.62/45.50 inference(quant_inst,[status(thm)],[])).
% 72.62/45.50 tff(7726,plain,
% 72.62/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0)),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7725, 7724])).
% 72.62/45.50 tff(7727,plain,
% 72.62/45.50 ((~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7726, 197, 7620])).
% 72.62/45.50 tff(7728,plain,
% 72.62/45.50 (v129(constB46, bitIndex0)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7727, 7723])).
% 72.62/45.50 tff(7729,plain,
% 72.62/45.50 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7730,plain,
% 72.62/45.50 ((v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0))) <=> (v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7731,plain,
% 72.62/45.50 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46))))),
% 72.62/45.50 inference(monotonicity,[status(thm)],[7730])).
% 72.62/45.50 tff(7732,plain,
% 72.62/45.50 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))),
% 72.62/45.50 inference(transitivity,[status(thm)],[7731, 7729])).
% 72.62/45.50 tff(7733,plain,
% 72.62/45.50 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0)))),
% 72.62/45.50 inference(quant_inst,[status(thm)],[])).
% 72.62/45.50 tff(7734,plain,
% 72.62/45.50 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46))),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7733, 7732])).
% 72.62/45.50 tff(7735,plain,
% 72.62/45.50 (v90(constB46, bitIndex0) | (~v100(constB46))),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7734, 401, 7728])).
% 72.62/45.50 tff(7736,plain,
% 72.62/45.50 (v90(constB46, bitIndex0)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7735, 7654])).
% 72.62/45.50 tff(7737,plain,
% 72.62/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7738,plain,
% 72.62/45.50 (((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0)) <=> ((~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7739,plain,
% 72.62/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0)))),
% 72.62/45.50 inference(monotonicity,[status(thm)],[7738])).
% 72.62/45.50 tff(7740,plain,
% 72.62/45.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))),
% 72.62/45.50 inference(transitivity,[status(thm)],[7739, 7737])).
% 72.62/45.50 tff(7741,plain,
% 72.62/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0))),
% 72.62/45.50 inference(quant_inst,[status(thm)],[])).
% 72.62/45.50 tff(7742,plain,
% 72.62/45.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0)),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7741, 7740])).
% 72.62/45.50 tff(7743,plain,
% 72.62/45.50 ((~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7742, 437, 7682])).
% 72.62/45.50 tff(7744,plain,
% 72.62/45.50 ((~v90(constB46, bitIndex0)) | v90(constB47, bitIndex0)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7743, 7694])).
% 72.62/45.50 tff(7745,plain,
% 72.62/45.50 (v90(constB47, bitIndex0)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7744, 7736])).
% 72.62/45.50 tff(7746,plain,
% 72.62/45.50 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB47, bitIndex0)) | v88(constB47, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB47, bitIndex0)) | v88(constB47, bitIndex0))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7747,plain,
% 72.62/45.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB47, bitIndex0)) | v88(constB47, bitIndex0))),
% 72.62/45.50 inference(quant_inst,[status(thm)],[])).
% 72.62/45.50 tff(7748,plain,
% 72.62/45.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB47, bitIndex0)) | v88(constB47, bitIndex0)),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7747, 7746])).
% 72.62/45.50 tff(7749,plain,
% 72.62/45.50 (v88(constB47, bitIndex0)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7748, 6074, 7745])).
% 72.62/45.50 tff(7750,plain,
% 72.62/45.50 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB47)) | (~v88(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB47)) | (~v88(constB47, bitIndex0)))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7751,plain,
% 72.62/45.50 (((~v88(constB47, bitIndex0)) | (~v139(constB47))) <=> ((~v139(constB47)) | (~v88(constB47, bitIndex0)))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7752,plain,
% 72.62/45.50 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB47, bitIndex0)) | (~v139(constB47)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB47)) | (~v88(constB47, bitIndex0))))),
% 72.62/45.50 inference(monotonicity,[status(thm)],[7751])).
% 72.62/45.50 tff(7753,plain,
% 72.62/45.50 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB47, bitIndex0)) | (~v139(constB47)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB47)) | (~v88(constB47, bitIndex0)))),
% 72.62/45.50 inference(transitivity,[status(thm)],[7752, 7750])).
% 72.62/45.50 tff(7754,plain,
% 72.62/45.50 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB47, bitIndex0)) | (~v139(constB47)))),
% 72.62/45.50 inference(quant_inst,[status(thm)],[])).
% 72.62/45.50 tff(7755,plain,
% 72.62/45.50 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB47)) | (~v88(constB47, bitIndex0))),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7754, 7753])).
% 72.62/45.50 tff(7756,plain,
% 72.62/45.50 (~v139(constB47)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7755, 6085, 7749])).
% 72.62/45.50 tff(7757,plain,
% 72.62/45.50 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | ((~v200(constB47)) | v140(constB47) | v139(constB47))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (~v200(constB47)) | v140(constB47) | v139(constB47))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7758,plain,
% 72.62/45.50 ((v140(constB47) | v139(constB47) | (~v200(constB47))) <=> ((~v200(constB47)) | v140(constB47) | v139(constB47))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7759,plain,
% 72.62/45.50 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB47) | v139(constB47) | (~v200(constB47)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | ((~v200(constB47)) | v140(constB47) | v139(constB47)))),
% 72.62/45.50 inference(monotonicity,[status(thm)],[7758])).
% 72.62/45.50 tff(7760,plain,
% 72.62/45.50 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB47) | v139(constB47) | (~v200(constB47)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (~v200(constB47)) | v140(constB47) | v139(constB47))),
% 72.62/45.50 inference(transitivity,[status(thm)],[7759, 7757])).
% 72.62/45.50 tff(7761,plain,
% 72.62/45.50 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB47) | v139(constB47) | (~v200(constB47)))),
% 72.62/45.50 inference(quant_inst,[status(thm)],[])).
% 72.62/45.50 tff(7762,plain,
% 72.62/45.50 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (~v200(constB47)) | v140(constB47) | v139(constB47)),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7761, 7760])).
% 72.62/45.50 tff(7763,plain,
% 72.62/45.50 (~v200(constB47)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7762, 6102, 7756, 7714])).
% 72.62/45.50 tff(7764,plain,
% 72.62/45.50 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB47)) | (~v88(constB47, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB47)) | (~v88(constB47, bitIndex2)))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7765,plain,
% 72.62/45.50 (((~v88(constB47, bitIndex2)) | (~v141(constB47))) <=> ((~v141(constB47)) | (~v88(constB47, bitIndex2)))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7766,plain,
% 72.62/45.50 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB47, bitIndex2)) | (~v141(constB47)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB47)) | (~v88(constB47, bitIndex2))))),
% 72.62/45.50 inference(monotonicity,[status(thm)],[7765])).
% 72.62/45.50 tff(7767,plain,
% 72.62/45.50 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB47, bitIndex2)) | (~v141(constB47)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB47)) | (~v88(constB47, bitIndex2)))),
% 72.62/45.50 inference(transitivity,[status(thm)],[7766, 7764])).
% 72.62/45.50 tff(7768,plain,
% 72.62/45.50 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB47, bitIndex2)) | (~v141(constB47)))),
% 72.62/45.50 inference(quant_inst,[status(thm)],[])).
% 72.62/45.50 tff(7769,plain,
% 72.62/45.50 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB47)) | (~v88(constB47, bitIndex2))),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7768, 7767])).
% 72.62/45.50 tff(7770,plain,
% 72.62/45.50 (~v141(constB47)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7769, 6116, 7707])).
% 72.62/45.50 tff(7771,plain,
% 72.62/45.50 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB47) | v200(constB47) | (~v199(constB47)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB47) | v200(constB47) | (~v199(constB47)))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7772,plain,
% 72.62/45.50 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB47) | v200(constB47) | (~v199(constB47)))),
% 72.62/45.50 inference(quant_inst,[status(thm)],[])).
% 72.62/45.50 tff(7773,plain,
% 72.62/45.50 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB47) | v200(constB47) | (~v199(constB47))),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7772, 7771])).
% 72.62/45.50 tff(7774,plain,
% 72.62/45.50 (~v199(constB47)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7773, 6133, 7770, 7763])).
% 72.62/45.50 tff(7775,plain,
% 72.62/45.50 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v143(constB47)) | (~v88(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v143(constB47)) | (~v88(constB47, bitIndex0)))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7776,plain,
% 72.62/45.50 (((~v88(constB47, bitIndex0)) | (~v143(constB47))) <=> ((~v143(constB47)) | (~v88(constB47, bitIndex0)))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7777,plain,
% 72.62/45.50 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB47, bitIndex0)) | (~v143(constB47)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v143(constB47)) | (~v88(constB47, bitIndex0))))),
% 72.62/45.50 inference(monotonicity,[status(thm)],[7776])).
% 72.62/45.50 tff(7778,plain,
% 72.62/45.50 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB47, bitIndex0)) | (~v143(constB47)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v143(constB47)) | (~v88(constB47, bitIndex0)))),
% 72.62/45.50 inference(transitivity,[status(thm)],[7777, 7775])).
% 72.62/45.50 tff(7779,plain,
% 72.62/45.50 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB47, bitIndex0)) | (~v143(constB47)))),
% 72.62/45.50 inference(quant_inst,[status(thm)],[])).
% 72.62/45.50 tff(7780,plain,
% 72.62/45.50 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v143(constB47)) | (~v88(constB47, bitIndex0))),
% 72.62/45.50 inference(modus_ponens,[status(thm)],[7779, 7778])).
% 72.62/45.50 tff(7781,plain,
% 72.62/45.50 (~v143(constB47)),
% 72.62/45.50 inference(unit_resolution,[status(thm)],[7780, 6144, 7749])).
% 72.62/45.50 tff(7782,plain,
% 72.62/45.50 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v144(constB47)) | (~v88(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v144(constB47)) | (~v88(constB47, bitIndex0)))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7783,plain,
% 72.62/45.50 (((~v88(constB47, bitIndex0)) | (~v144(constB47))) <=> ((~v144(constB47)) | (~v88(constB47, bitIndex0)))),
% 72.62/45.50 inference(rewrite,[status(thm)],[])).
% 72.62/45.50 tff(7784,plain,
% 72.62/45.50 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB47, bitIndex0)) | (~v144(constB47)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v144(constB47)) | (~v88(constB47, bitIndex0))))),
% 72.62/45.50 inference(monotonicity,[status(thm)],[7783])).
% 72.62/45.50 tff(7785,plain,
% 72.62/45.50 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB47, bitIndex0)) | (~v144(constB47)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v144(constB47)) | (~v88(constB47, bitIndex0)))),
% 72.62/45.50 inference(transitivity,[status(thm)],[7784, 7782])).
% 72.62/45.50 tff(7786,plain,
% 72.62/45.50 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB47, bitIndex0)) | (~v144(constB47)))),
% 72.62/45.50 inference(quant_inst,[status(thm)],[])).
% 72.62/45.50 tff(7787,plain,
% 72.62/45.50 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v144(constB47)) | (~v88(constB47, bitIndex0))),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7786, 7785])).
% 72.62/45.51 tff(7788,plain,
% 72.62/45.51 (~v144(constB47)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7787, 6158, 7749])).
% 72.62/45.51 tff(7789,plain,
% 72.62/45.51 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB47) | v144(constB47) | (~v142(constB47)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB47) | v144(constB47) | (~v142(constB47)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7790,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB47) | v144(constB47) | (~v142(constB47)))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7791,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB47) | v144(constB47) | (~v142(constB47))),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7790, 7789])).
% 72.62/45.51 tff(7792,plain,
% 72.62/45.51 (~v142(constB47)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7791, 6175, 7788, 7781])).
% 72.62/45.51 tff(7793,plain,
% 72.62/45.51 (((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB47) | v199(constB47) | (~v183(constB47)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB47) | v199(constB47) | (~v183(constB47)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7794,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB47) | v199(constB47) | (~v183(constB47)))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7795,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB47) | v199(constB47) | (~v183(constB47))),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7794, 7793])).
% 72.62/45.51 tff(7796,plain,
% 72.62/45.51 (~v183(constB47)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7795, 6189, 7792, 7774])).
% 72.62/45.51 tff(7797,plain,
% 72.62/45.51 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB45)) | (~v130(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB45)) | (~v130(constB45, bitIndex1)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7798,plain,
% 72.62/45.51 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB45)) | (~v130(constB45, bitIndex1)))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7799,plain,
% 72.62/45.51 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB45)) | (~v130(constB45, bitIndex1))),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7798, 7797])).
% 72.62/45.51 tff(7800,plain,
% 72.62/45.51 (~v130(constB45, bitIndex1)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7799, 1622, 7585])).
% 72.62/45.51 tff(7801,plain,
% 72.62/45.51 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7802,plain,
% 72.62/45.51 ((v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1))) <=> ((~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7803,plain,
% 72.62/45.51 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1)))),
% 72.62/45.51 inference(monotonicity,[status(thm)],[7802])).
% 72.62/45.51 tff(7804,plain,
% 72.62/45.51 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))),
% 72.62/45.51 inference(transitivity,[status(thm)],[7803, 7801])).
% 72.62/45.51 tff(7805,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1)))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7806,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1)),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7805, 7804])).
% 72.62/45.51 tff(7807,plain,
% 72.62/45.51 ((~v127(constB45, bitIndex1)) | v130(constB45, bitIndex1)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7806, 555, 7605])).
% 72.62/45.51 tff(7808,plain,
% 72.62/45.51 (~v127(constB45, bitIndex1)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7807, 7800])).
% 72.62/45.51 tff(7809,plain,
% 72.62/45.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7810,plain,
% 72.62/45.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1)))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7811,plain,
% 72.62/45.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1))),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7810, 7809])).
% 72.62/45.51 tff(7812,plain,
% 72.62/45.51 (v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1))),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7811, 588, 7620])).
% 72.62/45.51 tff(7813,plain,
% 72.62/45.51 (~v129(constB46, bitIndex1)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7812, 7808])).
% 72.62/45.51 tff(7814,plain,
% 72.62/45.51 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7815,plain,
% 72.62/45.51 (((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1)) <=> ((~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7816,plain,
% 72.62/45.51 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46))))),
% 72.62/45.51 inference(monotonicity,[status(thm)],[7815])).
% 72.62/45.51 tff(7817,plain,
% 72.62/45.51 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))),
% 72.62/45.51 inference(transitivity,[status(thm)],[7816, 7814])).
% 72.62/45.51 tff(7818,plain,
% 72.62/45.51 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7819,plain,
% 72.62/45.51 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46))),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7818, 7817])).
% 72.62/45.51 tff(7820,plain,
% 72.62/45.51 ((~v90(constB46, bitIndex1)) | (~v100(constB46))),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7819, 603, 7813])).
% 72.62/45.51 tff(7821,plain,
% 72.62/45.51 (~v90(constB46, bitIndex1)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7820, 7654])).
% 72.62/45.51 tff(7822,plain,
% 72.62/45.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7823,plain,
% 72.62/45.51 (((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1))) <=> (v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7824,plain,
% 72.62/45.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1))))),
% 72.62/45.51 inference(monotonicity,[status(thm)],[7823])).
% 72.62/45.51 tff(7825,plain,
% 72.62/45.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 72.62/45.51 inference(transitivity,[status(thm)],[7824, 7822])).
% 72.62/45.51 tff(7826,plain,
% 72.62/45.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7827,plain,
% 72.62/45.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1))),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7826, 7825])).
% 72.62/45.51 tff(7828,plain,
% 72.62/45.51 (v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1))),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7827, 109, 7682])).
% 72.62/45.51 tff(7829,plain,
% 72.62/45.51 (v90(constB46, bitIndex1) | (~v90(constB47, bitIndex1))),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7828, 7694])).
% 72.62/45.51 tff(7830,plain,
% 72.62/45.51 (~v90(constB47, bitIndex1)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7829, 7821])).
% 72.62/45.51 tff(7831,plain,
% 72.62/45.51 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB47, bitIndex1) | (~v88(constB47, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB47, bitIndex1) | (~v88(constB47, bitIndex1)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7832,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB47, bitIndex1) | (~v88(constB47, bitIndex1)))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7833,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB47, bitIndex1) | (~v88(constB47, bitIndex1))),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7832, 7831])).
% 72.62/45.51 tff(7834,plain,
% 72.62/45.51 (~v88(constB47, bitIndex1)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7833, 6234, 7830])).
% 72.62/45.51 tff(7835,plain,
% 72.62/45.51 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB47, bitIndex2)) | v147(constB47) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB47, bitIndex2)) | v147(constB47) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7836,plain,
% 72.62/45.51 (((~v88(constB47, bitIndex2)) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)) | v147(constB47)) <=> ((~v88(constB47, bitIndex2)) | v147(constB47) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7837,plain,
% 72.62/45.51 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB47, bitIndex2)) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)) | v147(constB47))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB47, bitIndex2)) | v147(constB47) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0))))),
% 72.62/45.51 inference(monotonicity,[status(thm)],[7836])).
% 72.62/45.51 tff(7838,plain,
% 72.62/45.51 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB47, bitIndex2)) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)) | v147(constB47))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB47, bitIndex2)) | v147(constB47) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)))),
% 72.62/45.51 inference(transitivity,[status(thm)],[7837, 7835])).
% 72.62/45.51 tff(7839,plain,
% 72.62/45.51 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB47, bitIndex2)) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)) | v147(constB47))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7840,plain,
% 72.62/45.51 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB47, bitIndex2)) | v147(constB47) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0))),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7839, 7838])).
% 72.62/45.51 tff(7841,plain,
% 72.62/45.51 (v147(constB47)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7840, 6248, 7749, 7707, 7834])).
% 72.62/45.51 tff(7842,plain,
% 72.62/45.51 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB47) | (~v147(constB47)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB47) | (~v147(constB47)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7843,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB47) | (~v147(constB47)))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7844,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB47) | (~v147(constB47))),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7843, 7842])).
% 72.62/45.51 tff(7845,plain,
% 72.62/45.51 (v145(constB47)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7844, 6262, 7841])).
% 72.62/45.51 tff(7846,plain,
% 72.62/45.51 (((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB47) | (~v145(constB47)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB47) | (~v145(constB47)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7847,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB47) | (~v145(constB47)))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7848,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB47) | (~v145(constB47))),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7847, 7846])).
% 72.62/45.51 tff(7849,plain,
% 72.62/45.51 (v197(constB47)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7848, 6273, 7845])).
% 72.62/45.51 tff(7850,plain,
% 72.62/45.51 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB47) | v183(constB47) | (~v197(constB47)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB47) | v183(constB47) | (~v197(constB47)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7851,plain,
% 72.62/45.51 (((~v197(constB47)) | v183(constB47) | v228(constB47)) <=> (v228(constB47) | v183(constB47) | (~v197(constB47)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7852,plain,
% 72.62/45.51 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB47)) | v183(constB47) | v228(constB47))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB47) | v183(constB47) | (~v197(constB47))))),
% 72.62/45.51 inference(monotonicity,[status(thm)],[7851])).
% 72.62/45.51 tff(7853,plain,
% 72.62/45.51 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB47)) | v183(constB47) | v228(constB47))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB47) | v183(constB47) | (~v197(constB47)))),
% 72.62/45.51 inference(transitivity,[status(thm)],[7852, 7850])).
% 72.62/45.51 tff(7854,plain,
% 72.62/45.51 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB47)) | v183(constB47) | v228(constB47))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7855,plain,
% 72.62/45.51 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB47) | v183(constB47) | (~v197(constB47))),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7854, 7853])).
% 72.62/45.51 tff(7856,plain,
% 72.62/45.51 (v228(constB47)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7855, 6287, 7849, 7796])).
% 72.62/45.51 tff(7857,plain,
% 72.62/45.51 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB47)) | (~v223(constB47, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB47)) | (~v223(constB47, bitIndex1)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7858,plain,
% 72.62/45.51 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB47)) | (~v223(constB47, bitIndex1)))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7859,plain,
% 72.62/45.51 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB47)) | (~v223(constB47, bitIndex1))),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7858, 7857])).
% 72.62/45.51 tff(7860,plain,
% 72.62/45.51 (~v223(constB47, bitIndex1)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7859, 6301, 7856])).
% 72.62/45.51 tff(7861,plain,
% 72.62/45.51 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB47)) | v223(constB47, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB47)) | v223(constB47, bitIndex1))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7862,plain,
% 72.62/45.51 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB47)) | v223(constB47, bitIndex1))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7863,plain,
% 72.62/45.51 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB47)) | v223(constB47, bitIndex1)),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7862, 7861])).
% 72.62/45.51 tff(7864,plain,
% 72.62/45.51 (~v222(constB47)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7863, 6315, 7860])).
% 72.62/45.51 tff(7865,plain,
% 72.62/45.51 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB47) | v200(constB47) | (~v166(constB47)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB47) | v200(constB47) | (~v166(constB47)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7866,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB47) | v200(constB47) | (~v166(constB47)))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7867,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB47) | v200(constB47) | (~v166(constB47))),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7866, 7865])).
% 72.62/45.51 tff(7868,plain,
% 72.62/45.51 (~v166(constB47)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7867, 6329, 7770, 7763])).
% 72.62/45.51 tff(7869,plain,
% 72.62/45.51 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB47) | v166(constB47) | (~v197(constB47)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB47) | v166(constB47) | (~v197(constB47)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7870,plain,
% 72.62/45.51 (((~v197(constB47)) | v166(constB47) | v241(constB47)) <=> (v241(constB47) | v166(constB47) | (~v197(constB47)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7871,plain,
% 72.62/45.51 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB47)) | v166(constB47) | v241(constB47))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB47) | v166(constB47) | (~v197(constB47))))),
% 72.62/45.51 inference(monotonicity,[status(thm)],[7870])).
% 72.62/45.51 tff(7872,plain,
% 72.62/45.51 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB47)) | v166(constB47) | v241(constB47))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB47) | v166(constB47) | (~v197(constB47)))),
% 72.62/45.51 inference(transitivity,[status(thm)],[7871, 7869])).
% 72.62/45.51 tff(7873,plain,
% 72.62/45.51 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB47)) | v166(constB47) | v241(constB47))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7874,plain,
% 72.62/45.51 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB47) | v166(constB47) | (~v197(constB47))),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7873, 7872])).
% 72.62/45.51 tff(7875,plain,
% 72.62/45.51 (v241(constB47)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7874, 6343, 7849, 7868])).
% 72.62/45.51 tff(7876,plain,
% 72.62/45.51 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB47)) | (~v223(constB47, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB47)) | (~v223(constB47, bitIndex2)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7877,plain,
% 72.62/45.51 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB47)) | (~v223(constB47, bitIndex2)))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7878,plain,
% 72.62/45.51 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB47)) | (~v223(constB47, bitIndex2))),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7877, 7876])).
% 72.62/45.51 tff(7879,plain,
% 72.62/45.51 (~v223(constB47, bitIndex2)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7878, 6357, 7875])).
% 72.62/45.51 tff(7880,plain,
% 72.62/45.51 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB47)) | v223(constB47, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB47)) | v223(constB47, bitIndex2))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7881,plain,
% 72.62/45.51 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB47)) | v223(constB47, bitIndex2))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7882,plain,
% 72.62/45.51 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB47)) | v223(constB47, bitIndex2)),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7881, 7880])).
% 72.62/45.51 tff(7883,plain,
% 72.62/45.51 (~v224(constB47)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7882, 6371, 7879])).
% 72.62/45.51 tff(7884,plain,
% 72.62/45.51 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB47) | v224(constB47) | (~v236(constB47)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB47) | v224(constB47) | (~v236(constB47)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7885,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB47) | v224(constB47) | (~v236(constB47)))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7886,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB47) | v224(constB47) | (~v236(constB47))),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7885, 7884])).
% 72.62/45.51 tff(7887,plain,
% 72.62/45.51 (~v236(constB47)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7886, 6385, 7883, 7864])).
% 72.62/45.51 tff(7888,plain,
% 72.62/45.51 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB47) | (~v232(constB47)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB47) | (~v232(constB47)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7889,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB47) | (~v232(constB47)))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7890,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB47) | (~v232(constB47))),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7889, 7888])).
% 72.62/45.51 tff(7891,plain,
% 72.62/45.51 (~v232(constB47)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7890, 6396, 7887])).
% 72.62/45.51 tff(7892,plain,
% 72.62/45.51 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB47)) | v140(constB47) | v139(constB47))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB47)) | v140(constB47) | v139(constB47))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7893,plain,
% 72.62/45.51 ((v140(constB47) | v139(constB47) | (~v148(constB47))) <=> ((~v148(constB47)) | v140(constB47) | v139(constB47))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7894,plain,
% 72.62/45.51 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB47) | v139(constB47) | (~v148(constB47)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB47)) | v140(constB47) | v139(constB47)))),
% 72.62/45.51 inference(monotonicity,[status(thm)],[7893])).
% 72.62/45.51 tff(7895,plain,
% 72.62/45.51 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB47) | v139(constB47) | (~v148(constB47)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB47)) | v140(constB47) | v139(constB47))),
% 72.62/45.51 inference(transitivity,[status(thm)],[7894, 7892])).
% 72.62/45.51 tff(7896,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB47) | v139(constB47) | (~v148(constB47)))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7897,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB47)) | v140(constB47) | v139(constB47)),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7896, 7895])).
% 72.62/45.51 tff(7898,plain,
% 72.62/45.51 (~v148(constB47)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7897, 6410, 7756, 7714])).
% 72.62/45.51 tff(7899,plain,
% 72.62/45.51 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB47) | v148(constB47) | (~v197(constB47)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB47) | v148(constB47) | (~v197(constB47)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7900,plain,
% 72.62/45.51 ((v148(constB47) | (~v197(constB47)) | v252(constB47)) <=> (v252(constB47) | v148(constB47) | (~v197(constB47)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7901,plain,
% 72.62/45.51 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB47) | (~v197(constB47)) | v252(constB47))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB47) | v148(constB47) | (~v197(constB47))))),
% 72.62/45.51 inference(monotonicity,[status(thm)],[7900])).
% 72.62/45.51 tff(7902,plain,
% 72.62/45.51 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB47) | (~v197(constB47)) | v252(constB47))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB47) | v148(constB47) | (~v197(constB47)))),
% 72.62/45.51 inference(transitivity,[status(thm)],[7901, 7899])).
% 72.62/45.51 tff(7903,plain,
% 72.62/45.51 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB47) | (~v197(constB47)) | v252(constB47))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7904,plain,
% 72.62/45.51 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB47) | v148(constB47) | (~v197(constB47))),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7903, 7902])).
% 72.62/45.51 tff(7905,plain,
% 72.62/45.51 (v252(constB47)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7904, 6427, 7849, 7898])).
% 72.62/45.51 tff(7906,plain,
% 72.62/45.51 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB47)) | (~v223(constB47, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB47)) | (~v223(constB47, bitIndex3)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7907,plain,
% 72.62/45.51 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB47)) | (~v223(constB47, bitIndex3)))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7908,plain,
% 72.62/45.51 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB47)) | (~v223(constB47, bitIndex3))),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7907, 7906])).
% 72.62/45.51 tff(7909,plain,
% 72.62/45.51 (~v223(constB47, bitIndex3)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7908, 6441, 7905])).
% 72.62/45.51 tff(7910,plain,
% 72.62/45.51 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB47)) | v223(constB47, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB47)) | v223(constB47, bitIndex3))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7911,plain,
% 72.62/45.51 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB47)) | v223(constB47, bitIndex3))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7912,plain,
% 72.62/45.51 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB47)) | v223(constB47, bitIndex3)),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7911, 7910])).
% 72.62/45.51 tff(7913,plain,
% 72.62/45.51 (~v237(constB47)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7912, 6455, 7909])).
% 72.62/45.51 tff(7914,plain,
% 72.62/45.51 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB47) | (~v248(constB47)) | v232(constB47))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB47) | (~v248(constB47)) | v232(constB47))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7915,plain,
% 72.62/45.51 ((v237(constB47) | v232(constB47) | (~v248(constB47))) <=> (v237(constB47) | (~v248(constB47)) | v232(constB47))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7916,plain,
% 72.62/45.51 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB47) | v232(constB47) | (~v248(constB47)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB47) | (~v248(constB47)) | v232(constB47)))),
% 72.62/45.51 inference(monotonicity,[status(thm)],[7915])).
% 72.62/45.51 tff(7917,plain,
% 72.62/45.51 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB47) | v232(constB47) | (~v248(constB47)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB47) | (~v248(constB47)) | v232(constB47))),
% 72.62/45.51 inference(transitivity,[status(thm)],[7916, 7914])).
% 72.62/45.51 tff(7918,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB47) | v232(constB47) | (~v248(constB47)))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7919,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB47) | (~v248(constB47)) | v232(constB47)),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7918, 7917])).
% 72.62/45.51 tff(7920,plain,
% 72.62/45.51 ((~v248(constB47)) | v232(constB47)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7919, 6469, 7913])).
% 72.62/45.51 tff(7921,plain,
% 72.62/45.51 (~v248(constB47)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7920, 7891])).
% 72.62/45.51 tff(7922,plain,
% 72.62/45.51 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB47) | (~v244(constB47)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB47) | (~v244(constB47)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7923,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB47) | (~v244(constB47)))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7924,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB47) | (~v244(constB47))),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7923, 7922])).
% 72.62/45.51 tff(7925,plain,
% 72.62/45.51 (~v244(constB47)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7924, 6484, 7921])).
% 72.62/45.51 tff(7926,plain,
% 72.62/45.51 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB47) | (~v216(constB47, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB47) | (~v216(constB47, bitIndex1)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7927,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB47) | (~v216(constB47, bitIndex1)))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7928,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB47) | (~v216(constB47, bitIndex1))),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7927, 7926])).
% 72.62/45.51 tff(7929,plain,
% 72.62/45.51 (~v216(constB47, bitIndex1)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7928, 6495, 7925])).
% 72.62/45.51 tff(7930,plain,
% 72.62/45.51 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB47, bitIndex1) | (~v254(constB47)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB47, bitIndex1) | (~v254(constB47)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7931,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB47, bitIndex1) | (~v254(constB47)))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7932,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB47, bitIndex1) | (~v254(constB47))),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7931, 7930])).
% 72.62/45.51 tff(7933,plain,
% 72.62/45.51 (~v254(constB47)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7932, 6506, 7929])).
% 72.62/45.51 tff(7934,plain,
% 72.62/45.51 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB47) | (~v221(constB47)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB47) | (~v221(constB47)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7935,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB47) | (~v221(constB47)))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7936,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB47) | (~v221(constB47))),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7935, 7934])).
% 72.62/45.51 tff(7937,plain,
% 72.62/45.51 (~v221(constB47)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7936, 6517, 7883])).
% 72.62/45.51 tff(7938,plain,
% 72.62/45.51 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB47) | (~v231(constB47)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB47) | (~v231(constB47)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7939,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB47) | (~v231(constB47)))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7940,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB47) | (~v231(constB47))),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7939, 7938])).
% 72.62/45.51 tff(7941,plain,
% 72.62/45.51 (~v231(constB47)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7940, 6528, 7913])).
% 72.62/45.51 tff(7942,plain,
% 72.62/45.51 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB47) | v231(constB47) | (~v243(constB47)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB47) | v231(constB47) | (~v243(constB47)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7943,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB47) | v231(constB47) | (~v243(constB47)))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7944,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB47) | v231(constB47) | (~v243(constB47))),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7943, 7942])).
% 72.62/45.51 tff(7945,plain,
% 72.62/45.51 (~v243(constB47)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7944, 6542, 7941, 7937])).
% 72.62/45.51 tff(7946,plain,
% 72.62/45.51 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB47) | v255(constB47))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB47) | v255(constB47))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7947,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB47) | v255(constB47))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7948,plain,
% 72.62/45.51 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB47) | v255(constB47)),
% 72.62/45.51 inference(modus_ponens,[status(thm)],[7947, 7946])).
% 72.62/45.51 tff(7949,plain,
% 72.62/45.51 (v255(constB47)),
% 72.62/45.51 inference(unit_resolution,[status(thm)],[7948, 6553, 7945])).
% 72.62/45.51 tff(7950,plain,
% 72.62/45.51 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB47)) | (~v216(constB47, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB47)) | (~v216(constB47, bitIndex2)))),
% 72.62/45.51 inference(rewrite,[status(thm)],[])).
% 72.62/45.51 tff(7951,plain,
% 72.62/45.51 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB47)) | (~v216(constB47, bitIndex2)))),
% 72.62/45.51 inference(quant_inst,[status(thm)],[])).
% 72.62/45.51 tff(7952,plain,
% 72.62/45.52 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB47)) | (~v216(constB47, bitIndex2))),
% 72.62/45.52 inference(modus_ponens,[status(thm)],[7951, 7950])).
% 72.62/45.52 tff(7953,plain,
% 72.62/45.52 (~v216(constB47, bitIndex2)),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[7952, 6564, 7949])).
% 72.62/45.52 tff(7954,plain,
% 72.62/45.52 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB47, bitIndex2) | v254(constB47) | (~v215(constB47)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB47, bitIndex2) | v254(constB47) | (~v215(constB47)))),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(7955,plain,
% 72.62/45.52 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB47, bitIndex2) | v254(constB47) | (~v215(constB47)))),
% 72.62/45.52 inference(quant_inst,[status(thm)],[])).
% 72.62/45.52 tff(7956,plain,
% 72.62/45.52 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB47, bitIndex2) | v254(constB47) | (~v215(constB47))),
% 72.62/45.52 inference(modus_ponens,[status(thm)],[7955, 7954])).
% 72.62/45.52 tff(7957,plain,
% 72.62/45.52 (v254(constB47) | (~v215(constB47))),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[7956, 6578, 7953])).
% 72.62/45.52 tff(7958,plain,
% 72.62/45.52 (~v215(constB47)),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[7957, 7933])).
% 72.62/45.52 tff(7959,plain,
% 72.62/45.52 ($false),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[7958, 6592])).
% 72.62/45.52 tff(7960,plain,(~(constB47 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 72.62/45.52 tff(7961,assumption,(constB143 = sK0_VarCurr), introduced(assumption)).
% 72.62/45.52 tff(7962,plain,
% 72.62/45.52 (v215(constB143) <=> v215(sK0_VarCurr)),
% 72.62/45.52 inference(monotonicity,[status(thm)],[7961])).
% 72.62/45.52 tff(7963,plain,
% 72.62/45.52 (v215(sK0_VarCurr) <=> v215(constB143)),
% 72.62/45.52 inference(symmetry,[status(thm)],[7962])).
% 72.62/45.52 tff(7964,plain,
% 72.62/45.52 (v215(constB143)),
% 72.62/45.52 inference(modus_ponens,[status(thm)],[28, 7963])).
% 72.62/45.52 tff(7965,assumption,(v26(constB89)), introduced(assumption)).
% 72.62/45.52 tff(7966,plain,
% 72.62/45.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB89))),
% 72.62/45.52 inference(quant_inst,[status(thm)],[])).
% 72.62/45.52 tff(7967,plain,
% 72.62/45.52 ($false),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[7966, 37, 7965])).
% 72.62/45.52 tff(7968,plain,(~v26(constB89)), inference(lemma,lemma(discharge,[]))).
% 72.62/45.52 tff(7969,assumption,(v26(constB85)), introduced(assumption)).
% 72.62/45.52 tff(7970,plain,
% 72.62/45.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB85))),
% 72.62/45.52 inference(quant_inst,[status(thm)],[])).
% 72.62/45.52 tff(7971,plain,
% 72.62/45.52 ($false),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[7970, 37, 7969])).
% 72.62/45.52 tff(7972,plain,(~v26(constB85)), inference(lemma,lemma(discharge,[]))).
% 72.62/45.52 tff(7973,assumption,(v26(constB83)), introduced(assumption)).
% 72.62/45.52 tff(7974,plain,
% 72.62/45.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB83))),
% 72.62/45.52 inference(quant_inst,[status(thm)],[])).
% 72.62/45.52 tff(7975,plain,
% 72.62/45.52 ($false),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[7974, 37, 7973])).
% 72.62/45.52 tff(7976,plain,(~v26(constB83)), inference(lemma,lemma(discharge,[]))).
% 72.62/45.52 tff(7977,assumption,(v26(constB81)), introduced(assumption)).
% 72.62/45.52 tff(7978,plain,
% 72.62/45.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB81))),
% 72.62/45.52 inference(quant_inst,[status(thm)],[])).
% 72.62/45.52 tff(7979,plain,
% 72.62/45.52 ($false),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[7978, 37, 7977])).
% 72.62/45.52 tff(7980,plain,(~v26(constB81)), inference(lemma,lemma(discharge,[]))).
% 72.62/45.52 tff(7981,assumption,(v26(constB79)), introduced(assumption)).
% 72.62/45.52 tff(7982,plain,
% 72.62/45.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB79))),
% 72.62/45.52 inference(quant_inst,[status(thm)],[])).
% 72.62/45.52 tff(7983,plain,
% 72.62/45.52 ($false),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[7982, 37, 7981])).
% 72.62/45.52 tff(7984,plain,(~v26(constB79)), inference(lemma,lemma(discharge,[]))).
% 72.62/45.52 tff(7985,assumption,(v90(constB58, bitIndex1)), introduced(assumption)).
% 72.62/45.52 tff(7986,assumption,(v127(constB55, bitIndex1)), introduced(assumption)).
% 72.62/45.52 tff(7987,plain,
% 72.62/45.52 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | v124(constB47))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | v124(constB47))),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(7988,plain,
% 72.62/45.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | v124(constB47))),
% 72.62/45.52 inference(quant_inst,[status(thm)],[])).
% 72.62/45.52 tff(7989,plain,
% 72.62/45.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | v124(constB47)),
% 72.62/45.52 inference(modus_ponens,[status(thm)],[7988, 7987])).
% 72.62/45.52 tff(7990,plain,
% 72.62/45.52 (v124(constB47)),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[7989, 1707, 7745, 7830, 7703])).
% 72.62/45.52 tff(7991,plain,
% 72.62/45.52 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB47) | (~v124(constB47)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB47) | (~v124(constB47)))),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(7992,plain,
% 72.62/45.52 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB47) | (~v124(constB47)))),
% 72.62/45.52 inference(quant_inst,[status(thm)],[])).
% 72.62/45.52 tff(7993,plain,
% 72.62/45.52 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB47) | (~v124(constB47))),
% 72.62/45.52 inference(modus_ponens,[status(thm)],[7992, 7991])).
% 72.62/45.52 tff(7994,plain,
% 72.62/45.52 (v114(constB47)),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[7993, 1718, 7990])).
% 72.62/45.52 tff(7995,plain,
% 72.62/45.52 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB47) | (~v114(constB47)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB47) | (~v114(constB47)))),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(7996,plain,
% 72.62/45.52 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB47) | (~v114(constB47)))),
% 72.62/45.52 inference(quant_inst,[status(thm)],[])).
% 72.62/45.52 tff(7997,plain,
% 72.62/45.52 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB47) | (~v114(constB47))),
% 72.62/45.52 inference(modus_ponens,[status(thm)],[7996, 7995])).
% 72.62/45.52 tff(7998,plain,
% 72.62/45.52 (v113(constB47)),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[7997, 287, 7994])).
% 72.62/45.52 tff(7999,assumption,(~v108(constB47)), introduced(assumption)).
% 72.62/45.52 tff(8000,plain,
% 72.62/45.52 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB47) | (~v112(constB47)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB47) | (~v112(constB47)))),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(8001,plain,
% 72.62/45.52 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB47) | (~v112(constB47)))),
% 72.62/45.52 inference(quant_inst,[status(thm)],[])).
% 72.62/45.52 tff(8002,plain,
% 72.62/45.52 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB47) | (~v112(constB47))),
% 72.62/45.52 inference(modus_ponens,[status(thm)],[8001, 8000])).
% 72.62/45.52 tff(8003,plain,
% 72.62/45.52 (~v112(constB47)),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[8002, 210, 7999])).
% 72.62/45.52 tff(8004,plain,
% 72.62/45.52 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB47) | (~v26(constB47)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB47) | (~v26(constB47)))),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(8005,plain,
% 72.62/45.52 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB47) | (~v26(constB47)))),
% 72.62/45.52 inference(quant_inst,[status(thm)],[])).
% 72.62/45.52 tff(8006,plain,
% 72.62/45.52 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB47) | (~v26(constB47))),
% 72.62/45.52 inference(modus_ponens,[status(thm)],[8005, 8004])).
% 72.62/45.52 tff(8007,plain,
% 72.62/45.52 (~v26(constB47)),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[8006, 221, 7999])).
% 72.62/45.52 tff(8008,assumption,(v113(constB47)), introduced(assumption)).
% 72.62/45.52 tff(8009,plain,
% 72.62/45.52 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | v112(constB47) | (~v113(constB47)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(8010,plain,
% 72.62/45.52 ((v26(constB47) | (~v113(constB47)) | v112(constB47)) <=> (v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(8011,plain,
% 72.62/45.52 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | v112(constB47) | (~v113(constB47))))),
% 72.62/45.52 inference(monotonicity,[status(thm)],[8010])).
% 72.62/45.52 tff(8012,plain,
% 72.62/45.52 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 72.62/45.52 inference(transitivity,[status(thm)],[8011, 8009])).
% 72.62/45.52 tff(8013,plain,
% 72.62/45.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))),
% 72.62/45.52 inference(quant_inst,[status(thm)],[])).
% 72.62/45.52 tff(8014,plain,
% 72.62/45.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47))),
% 72.62/45.52 inference(modus_ponens,[status(thm)],[8013, 8012])).
% 72.62/45.52 tff(8015,plain,
% 72.62/45.52 (v26(constB47) | v112(constB47)),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[8014, 301, 8008])).
% 72.62/45.52 tff(8016,plain,
% 72.62/45.52 ($false),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[8015, 8007, 8003])).
% 72.62/45.52 tff(8017,plain,(v108(constB47) | (~v113(constB47))), inference(lemma,lemma(discharge,[]))).
% 72.62/45.52 tff(8018,plain,
% 72.62/45.52 (v108(constB47)),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[8017, 7998])).
% 72.62/45.52 tff(8019,plain,
% 72.62/45.52 (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(8020,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_47_1')).
% 72.62/45.52 tff(8021,plain,
% 72.62/45.52 (nextState(constB47, constB48)),
% 72.62/45.52 inference(modus_ponens,[status(thm)],[8020, 8019])).
% 72.62/45.52 tff(8022,plain,
% 72.62/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(8023,plain,
% 72.62/45.52 (((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48)) <=> ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(8024,plain,
% 72.62/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47))))),
% 72.62/45.52 inference(monotonicity,[status(thm)],[8023])).
% 72.62/45.52 tff(8025,plain,
% 72.62/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 72.62/45.52 inference(transitivity,[status(thm)],[8024, 8022])).
% 72.62/45.52 tff(8026,plain,
% 72.62/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))),
% 72.62/45.52 inference(quant_inst,[status(thm)],[])).
% 72.62/45.52 tff(8027,plain,
% 72.62/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47))),
% 72.62/45.52 inference(modus_ponens,[status(thm)],[8026, 8025])).
% 72.62/45.52 tff(8028,plain,
% 72.62/45.52 (v110(constB48) | (~v108(constB47))),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[8027, 317, 8021])).
% 72.62/45.52 tff(8029,plain,
% 72.62/45.52 (v110(constB48)),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[8028, 8018])).
% 72.62/45.52 tff(8030,plain,
% 72.62/45.52 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(8031,plain,
% 72.62/45.52 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))),
% 72.62/45.52 inference(quant_inst,[status(thm)],[])).
% 72.62/45.52 tff(8032,plain,
% 72.62/45.52 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48))),
% 72.62/45.52 inference(modus_ponens,[status(thm)],[8031, 8030])).
% 72.62/45.52 tff(8033,plain,
% 72.62/45.52 (~v104(constB48)),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[8032, 335, 8021, 7679])).
% 72.62/45.52 tff(8034,plain,
% 72.62/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(8035,plain,
% 72.62/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))),
% 72.62/45.52 inference(quant_inst,[status(thm)],[])).
% 72.62/45.52 tff(8036,plain,
% 72.62/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v102(constB48) | v104(constB48)),
% 72.62/45.52 inference(modus_ponens,[status(thm)],[8035, 8034])).
% 72.62/45.52 tff(8037,plain,
% 72.62/45.52 (v102(constB48) | v104(constB48)),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[8036, 349, 8021])).
% 72.62/45.52 tff(8038,plain,
% 72.62/45.52 (v102(constB48)),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[8037, 8033])).
% 72.62/45.52 tff(8039,plain,
% 72.62/45.52 (v1(constB48) <=> v1(constB48)),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(8040,axiom,(v1(constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_48_1')).
% 72.62/45.52 tff(8041,plain,
% 72.62/45.52 (v1(constB48)),
% 72.62/45.52 inference(modus_ponens,[status(thm)],[8040, 8039])).
% 72.62/45.52 tff(8042,plain,
% 72.62/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(8043,plain,
% 72.62/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))),
% 72.62/45.52 inference(quant_inst,[status(thm)],[])).
% 72.62/45.52 tff(8044,plain,
% 72.62/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48))),
% 72.62/45.52 inference(modus_ponens,[status(thm)],[8043, 8042])).
% 72.62/45.52 tff(8045,plain,
% 72.62/45.52 (v101(constB48) | (~v102(constB48))),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[8044, 367, 8021, 8041])).
% 72.62/45.52 tff(8046,plain,
% 72.62/45.52 (v101(constB48)),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[8045, 8038])).
% 72.62/45.52 tff(8047,plain,
% 72.62/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(8048,plain,
% 72.62/45.52 (((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48)) <=> ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(8049,plain,
% 72.62/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48))))),
% 72.62/45.52 inference(monotonicity,[status(thm)],[8048])).
% 72.62/45.52 tff(8050,plain,
% 72.62/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 72.62/45.52 inference(transitivity,[status(thm)],[8049, 8047])).
% 72.62/45.52 tff(8051,plain,
% 72.62/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))),
% 72.62/45.52 inference(quant_inst,[status(thm)],[])).
% 72.62/45.52 tff(8052,plain,
% 72.62/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48))),
% 72.62/45.52 inference(modus_ponens,[status(thm)],[8051, 8050])).
% 72.62/45.52 tff(8053,plain,
% 72.62/45.52 (v100(constB48) | (~v101(constB48)) | (~v110(constB48))),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[8052, 382, 8021])).
% 72.62/45.52 tff(8054,plain,
% 72.62/45.52 (v100(constB48) | (~v110(constB48))),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[8053, 8046])).
% 72.62/45.52 tff(8055,plain,
% 72.62/45.52 (v100(constB48)),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[8054, 8029])).
% 72.62/45.52 tff(8056,plain,
% 72.62/45.52 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB47)) | v130(constB47, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB47)) | v130(constB47, bitIndex2))),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(8057,plain,
% 72.62/45.52 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB47)) | v130(constB47, bitIndex2))),
% 72.62/45.52 inference(quant_inst,[status(thm)],[])).
% 72.62/45.52 tff(8058,plain,
% 72.62/45.52 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB47)) | v130(constB47, bitIndex2)),
% 72.62/45.52 inference(modus_ponens,[status(thm)],[8057, 8056])).
% 72.62/45.52 tff(8059,plain,
% 72.62/45.52 (v130(constB47, bitIndex2)),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[8058, 1786, 7990])).
% 72.62/45.52 tff(8060,assumption,(v26(constB47)), introduced(assumption)).
% 72.62/45.52 tff(8061,plain,
% 72.62/45.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB47))),
% 72.62/45.52 inference(quant_inst,[status(thm)],[])).
% 72.62/45.52 tff(8062,plain,
% 72.62/45.52 ($false),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[8061, 37, 8060])).
% 72.62/45.52 tff(8063,plain,(~v26(constB47)), inference(lemma,lemma(discharge,[]))).
% 72.62/45.52 tff(8064,plain,
% 72.62/45.52 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB47) | (~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB47) | (~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2))),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(8065,plain,
% 72.62/45.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB47) | (~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2))),
% 72.62/45.52 inference(quant_inst,[status(thm)],[])).
% 72.62/45.52 tff(8066,plain,
% 72.62/45.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB47) | (~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2)),
% 72.62/45.52 inference(modus_ponens,[status(thm)],[8065, 8064])).
% 72.62/45.52 tff(8067,plain,
% 72.62/45.52 ((~v130(constB47, bitIndex2)) | v127(constB47, bitIndex2)),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[8066, 1304, 8063])).
% 72.62/45.52 tff(8068,plain,
% 72.62/45.52 (v127(constB47, bitIndex2)),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[8067, 8059])).
% 72.62/45.52 tff(8069,plain,
% 72.62/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2))),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(8070,plain,
% 72.62/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2))),
% 72.62/45.52 inference(quant_inst,[status(thm)],[])).
% 72.62/45.52 tff(8071,plain,
% 72.62/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2)),
% 72.62/45.52 inference(modus_ponens,[status(thm)],[8070, 8069])).
% 72.62/45.52 tff(8072,plain,
% 72.62/45.52 ((~v127(constB47, bitIndex2)) | v129(constB48, bitIndex2)),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[8071, 1319, 8021])).
% 72.62/45.52 tff(8073,plain,
% 72.62/45.52 (v129(constB48, bitIndex2)),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[8072, 8068])).
% 72.62/45.52 tff(8074,plain,
% 72.62/45.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48)))),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(8075,plain,
% 72.62/45.52 ((v90(constB48, bitIndex2) | (~v100(constB48)) | (~v129(constB48, bitIndex2))) <=> (v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48)))),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(8076,plain,
% 72.62/45.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~v100(constB48)) | (~v129(constB48, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48))))),
% 72.62/45.52 inference(monotonicity,[status(thm)],[8075])).
% 72.62/45.52 tff(8077,plain,
% 72.62/45.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~v100(constB48)) | (~v129(constB48, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48)))),
% 72.62/45.52 inference(transitivity,[status(thm)],[8076, 8074])).
% 72.62/45.52 tff(8078,plain,
% 72.62/45.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB48, bitIndex2) | (~v100(constB48)) | (~v129(constB48, bitIndex2)))),
% 72.62/45.52 inference(quant_inst,[status(thm)],[])).
% 72.62/45.52 tff(8079,plain,
% 72.62/45.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2)) | (~v100(constB48))),
% 72.62/45.52 inference(modus_ponens,[status(thm)],[8078, 8077])).
% 72.62/45.52 tff(8080,plain,
% 72.62/45.52 (v90(constB48, bitIndex2) | (~v100(constB48))),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[8079, 1334, 8073])).
% 72.62/45.52 tff(8081,plain,
% 72.62/45.52 (v90(constB48, bitIndex2)),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[8080, 8055])).
% 72.62/45.52 tff(8082,plain,
% 72.62/45.52 ((~v1(constB49)) <=> (~v1(constB49))),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(8083,axiom,(~v1(constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_49_1_1')).
% 72.62/45.52 tff(8084,plain,
% 72.62/45.52 (~v1(constB49)),
% 72.62/45.52 inference(modus_ponens,[status(thm)],[8083, 8082])).
% 72.62/45.52 tff(8085,plain,
% 72.62/45.52 (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(8086,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_48_1')).
% 72.62/45.52 tff(8087,plain,
% 72.62/45.52 (nextState(constB48, constB49)),
% 72.62/45.52 inference(modus_ponens,[status(thm)],[8086, 8085])).
% 72.62/45.52 tff(8088,plain,
% 72.62/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(8089,plain,
% 72.62/45.52 (((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49)) <=> (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(8090,plain,
% 72.62/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49))))),
% 72.62/45.52 inference(monotonicity,[status(thm)],[8089])).
% 72.62/45.52 tff(8091,plain,
% 72.62/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 72.62/45.52 inference(transitivity,[status(thm)],[8090, 8088])).
% 72.62/45.52 tff(8092,plain,
% 72.62/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))),
% 72.62/45.52 inference(quant_inst,[status(thm)],[])).
% 72.62/45.52 tff(8093,plain,
% 72.62/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49))),
% 72.62/45.52 inference(modus_ponens,[status(thm)],[8092, 8091])).
% 72.62/45.52 tff(8094,plain,
% 72.62/45.52 (~v101(constB49)),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[8093, 56, 8087, 8084])).
% 72.62/45.52 tff(8095,plain,
% 72.62/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))),
% 72.62/45.52 inference(rewrite,[status(thm)],[])).
% 72.62/45.52 tff(8096,plain,
% 72.62/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))),
% 72.62/45.52 inference(quant_inst,[status(thm)],[])).
% 72.62/45.52 tff(8097,plain,
% 72.62/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49))),
% 72.62/45.52 inference(modus_ponens,[status(thm)],[8096, 8095])).
% 72.62/45.52 tff(8098,plain,
% 72.62/45.52 (v101(constB49) | (~v100(constB49))),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[8097, 73, 8087])).
% 72.62/45.52 tff(8099,plain,
% 72.62/45.52 (~v100(constB49)),
% 72.62/45.52 inference(unit_resolution,[status(thm)],[8098, 8094])).
% 72.70/45.52 tff(8100,plain,
% 72.70/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex2))),
% 72.70/45.52 inference(rewrite,[status(thm)],[])).
% 72.70/45.52 tff(8101,plain,
% 72.70/45.52 (((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex2)) | v100(constB49) | v90(constB49, bitIndex2)) <=> ((~v90(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex2))),
% 72.70/45.52 inference(rewrite,[status(thm)],[])).
% 72.70/45.52 tff(8102,plain,
% 72.70/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex2)) | v100(constB49) | v90(constB49, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex2)))),
% 72.70/45.52 inference(monotonicity,[status(thm)],[8101])).
% 72.70/45.52 tff(8103,plain,
% 72.70/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex2)) | v100(constB49) | v90(constB49, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex2))),
% 72.70/45.52 inference(transitivity,[status(thm)],[8102, 8100])).
% 72.70/45.52 tff(8104,plain,
% 72.70/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex2)) | v100(constB49) | v90(constB49, bitIndex2))),
% 72.70/45.52 inference(quant_inst,[status(thm)],[])).
% 72.70/45.52 tff(8105,plain,
% 72.70/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex2)),
% 72.70/45.52 inference(modus_ponens,[status(thm)],[8104, 8103])).
% 72.70/45.52 tff(8106,plain,
% 72.70/45.52 ((~v90(constB48, bitIndex2)) | v100(constB49) | v90(constB49, bitIndex2)),
% 72.70/45.52 inference(unit_resolution,[status(thm)],[8105, 1370, 8087])).
% 72.70/45.52 tff(8107,plain,
% 72.70/45.52 ((~v90(constB48, bitIndex2)) | v90(constB49, bitIndex2)),
% 72.70/45.52 inference(unit_resolution,[status(thm)],[8106, 8099])).
% 72.70/45.52 tff(8108,plain,
% 72.70/45.52 (v90(constB49, bitIndex2)),
% 72.70/45.52 inference(unit_resolution,[status(thm)],[8107, 8081])).
% 72.70/45.52 tff(8109,plain,
% 72.70/45.52 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB49, bitIndex2)) | (~v122(constB49)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB49, bitIndex2)) | (~v122(constB49)))),
% 72.70/45.52 inference(rewrite,[status(thm)],[])).
% 72.70/45.52 tff(8110,plain,
% 72.70/45.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB49, bitIndex2)) | (~v122(constB49)))),
% 72.70/45.52 inference(quant_inst,[status(thm)],[])).
% 72.70/45.52 tff(8111,plain,
% 72.70/45.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB49, bitIndex2)) | (~v122(constB49))),
% 72.70/45.52 inference(modus_ponens,[status(thm)],[8110, 8109])).
% 72.70/45.52 tff(8112,plain,
% 72.70/45.52 (~v122(constB49)),
% 72.70/45.52 inference(unit_resolution,[status(thm)],[8111, 1853, 8108])).
% 72.70/45.52 tff(8113,plain,
% 72.70/45.52 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB47)) | v130(constB47, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB47)) | v130(constB47, bitIndex1))),
% 72.70/45.52 inference(rewrite,[status(thm)],[])).
% 72.70/45.52 tff(8114,plain,
% 72.70/45.52 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB47)) | v130(constB47, bitIndex1))),
% 72.70/45.52 inference(quant_inst,[status(thm)],[])).
% 72.70/45.52 tff(8115,plain,
% 72.70/45.52 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB47)) | v130(constB47, bitIndex1)),
% 72.70/45.52 inference(modus_ponens,[status(thm)],[8114, 8113])).
% 72.70/45.52 tff(8116,plain,
% 72.70/45.52 (v130(constB47, bitIndex1)),
% 72.70/45.52 inference(unit_resolution,[status(thm)],[8115, 1867, 7990])).
% 72.70/45.52 tff(8117,plain,
% 72.70/45.52 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1))),
% 72.70/45.52 inference(rewrite,[status(thm)],[])).
% 72.70/45.52 tff(8118,plain,
% 72.70/45.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1))),
% 72.70/45.52 inference(quant_inst,[status(thm)],[])).
% 72.70/45.52 tff(8119,plain,
% 72.70/45.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1)),
% 72.70/45.52 inference(modus_ponens,[status(thm)],[8118, 8117])).
% 72.70/45.52 tff(8120,plain,
% 72.70/45.52 ((~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1)),
% 72.70/45.52 inference(unit_resolution,[status(thm)],[8119, 824, 8063])).
% 72.70/45.52 tff(8121,plain,
% 72.70/45.52 (v127(constB47, bitIndex1)),
% 72.70/45.52 inference(unit_resolution,[status(thm)],[8120, 8116])).
% 72.70/45.52 tff(8122,plain,
% 72.70/45.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1))),
% 72.70/45.52 inference(rewrite,[status(thm)],[])).
% 72.70/45.52 tff(8123,plain,
% 72.70/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1))),
% 72.70/45.52 inference(quant_inst,[status(thm)],[])).
% 72.70/45.52 tff(8124,plain,
% 72.70/45.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1)),
% 72.70/45.52 inference(modus_ponens,[status(thm)],[8123, 8122])).
% 72.70/45.52 tff(8125,plain,
% 72.70/45.52 ((~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1)),
% 72.70/45.52 inference(unit_resolution,[status(thm)],[8124, 839, 8021])).
% 72.70/45.52 tff(8126,plain,
% 72.70/45.52 (v129(constB48, bitIndex1)),
% 72.70/45.52 inference(unit_resolution,[status(thm)],[8125, 8121])).
% 72.70/45.52 tff(8127,plain,
% 72.70/45.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))),
% 72.70/45.52 inference(rewrite,[status(thm)],[])).
% 72.70/45.52 tff(8128,plain,
% 72.70/45.52 ((v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1))) <=> (v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))),
% 72.70/45.52 inference(rewrite,[status(thm)],[])).
% 72.70/45.52 tff(8129,plain,
% 72.70/45.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48))))),
% 72.70/45.52 inference(monotonicity,[status(thm)],[8128])).
% 72.70/45.52 tff(8130,plain,
% 72.70/45.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))),
% 72.70/45.52 inference(transitivity,[status(thm)],[8129, 8127])).
% 72.70/45.52 tff(8131,plain,
% 72.70/45.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1)))),
% 72.70/45.52 inference(quant_inst,[status(thm)],[])).
% 72.70/45.52 tff(8132,plain,
% 72.70/45.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48))),
% 72.70/45.52 inference(modus_ponens,[status(thm)],[8131, 8130])).
% 72.70/45.52 tff(8133,plain,
% 72.70/45.52 (v90(constB48, bitIndex1) | (~v100(constB48))),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8132, 854, 8126])).
% 72.70/45.53 tff(8134,plain,
% 72.70/45.53 (v90(constB48, bitIndex1)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8133, 8055])).
% 72.70/45.53 tff(8135,plain,
% 72.70/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8136,plain,
% 72.70/45.53 (((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1)) <=> ((~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8137,plain,
% 72.70/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1)))),
% 72.70/45.53 inference(monotonicity,[status(thm)],[8136])).
% 72.70/45.53 tff(8138,plain,
% 72.70/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))),
% 72.70/45.53 inference(transitivity,[status(thm)],[8137, 8135])).
% 72.70/45.53 tff(8139,plain,
% 72.70/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1))),
% 72.70/45.53 inference(quant_inst,[status(thm)],[])).
% 72.70/45.53 tff(8140,plain,
% 72.70/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1)),
% 72.70/45.53 inference(modus_ponens,[status(thm)],[8139, 8138])).
% 72.70/45.53 tff(8141,plain,
% 72.70/45.53 ((~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8140, 872, 8087])).
% 72.70/45.53 tff(8142,plain,
% 72.70/45.53 ((~v90(constB48, bitIndex1)) | v90(constB49, bitIndex1)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8141, 8099])).
% 72.70/45.53 tff(8143,plain,
% 72.70/45.53 (v90(constB49, bitIndex1)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8142, 8134])).
% 72.70/45.53 tff(8144,plain,
% 72.70/45.53 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB49, bitIndex1)) | (~v120(constB49)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB49, bitIndex1)) | (~v120(constB49)))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8145,plain,
% 72.70/45.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB49, bitIndex1)) | (~v120(constB49)))),
% 72.70/45.53 inference(quant_inst,[status(thm)],[])).
% 72.70/45.53 tff(8146,plain,
% 72.70/45.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB49, bitIndex1)) | (~v120(constB49))),
% 72.70/45.53 inference(modus_ponens,[status(thm)],[8145, 8144])).
% 72.70/45.53 tff(8147,plain,
% 72.70/45.53 (~v120(constB49)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8146, 1919, 8143])).
% 72.70/45.53 tff(8148,plain,
% 72.70/45.53 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB49, bitIndex1)) | (~v123(constB49)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB49, bitIndex1)) | (~v123(constB49)))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8149,plain,
% 72.70/45.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB49, bitIndex1)) | (~v123(constB49)))),
% 72.70/45.53 inference(quant_inst,[status(thm)],[])).
% 72.70/45.53 tff(8150,plain,
% 72.70/45.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB49, bitIndex1)) | (~v123(constB49))),
% 72.70/45.53 inference(modus_ponens,[status(thm)],[8149, 8148])).
% 72.70/45.53 tff(8151,plain,
% 72.70/45.53 (~v123(constB49)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8150, 1930, 8143])).
% 72.70/45.53 tff(8152,plain,
% 72.70/45.53 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB49, bitIndex1)) | (~v124(constB49)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB49, bitIndex1)) | (~v124(constB49)))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8153,plain,
% 72.70/45.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB49, bitIndex1)) | (~v124(constB49)))),
% 72.70/45.53 inference(quant_inst,[status(thm)],[])).
% 72.70/45.53 tff(8154,plain,
% 72.70/45.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB49, bitIndex1)) | (~v124(constB49))),
% 72.70/45.53 inference(modus_ponens,[status(thm)],[8153, 8152])).
% 72.70/45.53 tff(8155,plain,
% 72.70/45.53 (~v124(constB49)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8154, 1941, 8143])).
% 72.70/45.53 tff(8156,plain,
% 72.70/45.53 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB49, bitIndex2)) | (~v121(constB49)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB49, bitIndex2)) | (~v121(constB49)))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8157,plain,
% 72.70/45.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB49, bitIndex2)) | (~v121(constB49)))),
% 72.70/45.53 inference(quant_inst,[status(thm)],[])).
% 72.70/45.53 tff(8158,plain,
% 72.70/45.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB49, bitIndex2)) | (~v121(constB49))),
% 72.70/45.53 inference(modus_ponens,[status(thm)],[8157, 8156])).
% 72.70/45.53 tff(8159,plain,
% 72.70/45.53 (~v121(constB49)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8158, 1842, 8108])).
% 72.70/45.53 tff(8160,plain,
% 72.70/45.53 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB49)) | (~v90(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB49)) | (~v90(constB49, bitIndex1)))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8161,plain,
% 72.70/45.53 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB49)) | (~v90(constB49, bitIndex1)))),
% 72.70/45.53 inference(quant_inst,[status(thm)],[])).
% 72.70/45.53 tff(8162,plain,
% 72.70/45.53 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB49)) | (~v90(constB49, bitIndex1))),
% 72.70/45.53 inference(modus_ponens,[status(thm)],[8161, 8160])).
% 72.70/45.53 tff(8163,plain,
% 72.70/45.53 (~v119(constB49)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8162, 1908, 8143])).
% 72.70/45.53 tff(8164,plain,
% 72.70/45.53 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB49, bitIndex2)) | v124(constB49) | v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB49, bitIndex2)) | v124(constB49) | v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8165,plain,
% 72.70/45.53 ((v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex2))) <=> ((~v130(constB49, bitIndex2)) | v124(constB49) | v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8166,plain,
% 72.70/45.53 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB49, bitIndex2)) | v124(constB49) | v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49)))),
% 72.70/45.53 inference(monotonicity,[status(thm)],[8165])).
% 72.70/45.53 tff(8167,plain,
% 72.70/45.53 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB49, bitIndex2)) | v124(constB49) | v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49))),
% 72.70/45.53 inference(transitivity,[status(thm)],[8166, 8164])).
% 72.70/45.53 tff(8168,plain,
% 72.70/45.53 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex2)))),
% 72.70/45.53 inference(quant_inst,[status(thm)],[])).
% 72.70/45.53 tff(8169,plain,
% 72.70/45.53 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB49, bitIndex2)) | v124(constB49) | v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49)),
% 72.70/45.53 inference(modus_ponens,[status(thm)],[8168, 8167])).
% 72.70/45.53 tff(8170,plain,
% 72.70/45.53 (~v130(constB49, bitIndex2)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8169, 1955, 8163, 8159, 8155, 8151, 8147, 8112])).
% 72.70/45.53 tff(8171,assumption,(v26(constB49)), introduced(assumption)).
% 72.70/45.53 tff(8172,plain,
% 72.70/45.53 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB49))),
% 72.70/45.53 inference(quant_inst,[status(thm)],[])).
% 72.70/45.53 tff(8173,plain,
% 72.70/45.53 ($false),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8172, 37, 8171])).
% 72.70/45.53 tff(8174,plain,(~v26(constB49)), inference(lemma,lemma(discharge,[]))).
% 72.70/45.53 tff(8175,plain,
% 72.70/45.53 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8176,plain,
% 72.70/45.53 ((v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2))) <=> ((~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8177,plain,
% 72.70/45.53 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2)))),
% 72.70/45.53 inference(monotonicity,[status(thm)],[8176])).
% 72.70/45.53 tff(8178,plain,
% 72.70/45.53 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))),
% 72.70/45.53 inference(transitivity,[status(thm)],[8177, 8175])).
% 72.70/45.53 tff(8179,plain,
% 72.70/45.53 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2)))),
% 72.70/45.53 inference(quant_inst,[status(thm)],[])).
% 72.70/45.53 tff(8180,plain,
% 72.70/45.53 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2)),
% 72.70/45.53 inference(modus_ponens,[status(thm)],[8179, 8178])).
% 72.70/45.53 tff(8181,plain,
% 72.70/45.53 ((~v127(constB49, bitIndex2)) | v130(constB49, bitIndex2)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8180, 470, 8174])).
% 72.70/45.53 tff(8182,plain,
% 72.70/45.53 (~v127(constB49, bitIndex2)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8181, 8170])).
% 72.70/45.53 tff(8183,plain,
% 72.70/45.53 (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8184,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_49_1')).
% 72.70/45.53 tff(8185,plain,
% 72.70/45.53 (nextState(constB49, constB50)),
% 72.70/45.53 inference(modus_ponens,[status(thm)],[8184, 8183])).
% 72.70/45.53 tff(8186,plain,
% 72.70/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2)))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8187,plain,
% 72.70/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2)))),
% 72.70/45.53 inference(quant_inst,[status(thm)],[])).
% 72.70/45.53 tff(8188,plain,
% 72.70/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2))),
% 72.70/45.53 inference(modus_ponens,[status(thm)],[8187, 8186])).
% 72.70/45.53 tff(8189,plain,
% 72.70/45.53 (v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2))),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8188, 488, 8185])).
% 72.70/45.53 tff(8190,plain,
% 72.70/45.53 (~v129(constB50, bitIndex2)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8189, 8182])).
% 72.70/45.53 tff(8191,plain,
% 72.70/45.53 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB47)) | (~v130(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB47)) | (~v130(constB47, bitIndex0)))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8192,plain,
% 72.70/45.53 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB47)) | (~v130(constB47, bitIndex0)))),
% 72.70/45.53 inference(quant_inst,[status(thm)],[])).
% 72.70/45.53 tff(8193,plain,
% 72.70/45.53 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB47)) | (~v130(constB47, bitIndex0))),
% 72.70/45.53 inference(modus_ponens,[status(thm)],[8192, 8191])).
% 72.70/45.53 tff(8194,plain,
% 72.70/45.53 (~v130(constB47, bitIndex0)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8193, 1992, 7990])).
% 72.70/45.53 tff(8195,plain,
% 72.70/45.53 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8196,plain,
% 72.70/45.53 ((v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0))) <=> ((~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8197,plain,
% 72.70/45.53 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0)))),
% 72.70/45.53 inference(monotonicity,[status(thm)],[8196])).
% 72.70/45.53 tff(8198,plain,
% 72.70/45.53 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))),
% 72.70/45.53 inference(transitivity,[status(thm)],[8197, 8195])).
% 72.70/45.53 tff(8199,plain,
% 72.70/45.53 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0)))),
% 72.70/45.53 inference(quant_inst,[status(thm)],[])).
% 72.70/45.53 tff(8200,plain,
% 72.70/45.53 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0)),
% 72.70/45.53 inference(modus_ponens,[status(thm)],[8199, 8198])).
% 72.70/45.53 tff(8201,plain,
% 72.70/45.53 ((~v127(constB47, bitIndex0)) | v130(constB47, bitIndex0)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8200, 905, 8063])).
% 72.70/45.53 tff(8202,plain,
% 72.70/45.53 (~v127(constB47, bitIndex0)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8201, 8194])).
% 72.70/45.53 tff(8203,plain,
% 72.70/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0)))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8204,plain,
% 72.70/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0)))),
% 72.70/45.53 inference(quant_inst,[status(thm)],[])).
% 72.70/45.53 tff(8205,plain,
% 72.70/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0))),
% 72.70/45.53 inference(modus_ponens,[status(thm)],[8204, 8203])).
% 72.70/45.53 tff(8206,plain,
% 72.70/45.53 (v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0))),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8205, 923, 8021])).
% 72.70/45.53 tff(8207,plain,
% 72.70/45.53 (~v129(constB48, bitIndex0)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8206, 8202])).
% 72.70/45.53 tff(8208,plain,
% 72.70/45.53 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8209,plain,
% 72.70/45.53 (((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0)) <=> ((~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8210,plain,
% 72.70/45.53 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48))))),
% 72.70/45.53 inference(monotonicity,[status(thm)],[8209])).
% 72.70/45.53 tff(8211,plain,
% 72.70/45.53 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))),
% 72.70/45.53 inference(transitivity,[status(thm)],[8210, 8208])).
% 72.70/45.53 tff(8212,plain,
% 72.70/45.53 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0))),
% 72.70/45.53 inference(quant_inst,[status(thm)],[])).
% 72.70/45.53 tff(8213,plain,
% 72.70/45.53 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48))),
% 72.70/45.53 inference(modus_ponens,[status(thm)],[8212, 8211])).
% 72.70/45.53 tff(8214,plain,
% 72.70/45.53 ((~v90(constB48, bitIndex0)) | (~v100(constB48))),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8213, 938, 8207])).
% 72.70/45.53 tff(8215,plain,
% 72.70/45.53 (~v90(constB48, bitIndex0)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8214, 8055])).
% 72.70/45.53 tff(8216,plain,
% 72.70/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8217,plain,
% 72.70/45.53 (((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0))) <=> (v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8218,plain,
% 72.70/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0))))),
% 72.70/45.53 inference(monotonicity,[status(thm)],[8217])).
% 72.70/45.53 tff(8219,plain,
% 72.70/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 72.70/45.53 inference(transitivity,[status(thm)],[8218, 8216])).
% 72.70/45.53 tff(8220,plain,
% 72.70/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 72.70/45.53 inference(quant_inst,[status(thm)],[])).
% 72.70/45.53 tff(8221,plain,
% 72.70/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0))),
% 72.70/45.53 inference(modus_ponens,[status(thm)],[8220, 8219])).
% 72.70/45.53 tff(8222,plain,
% 72.70/45.53 (v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0))),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8221, 130, 8087])).
% 72.70/45.53 tff(8223,plain,
% 72.70/45.53 (v90(constB48, bitIndex0) | (~v90(constB49, bitIndex0))),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8222, 8099])).
% 72.70/45.53 tff(8224,plain,
% 72.70/45.53 (~v90(constB49, bitIndex0)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8223, 8215])).
% 72.70/45.53 tff(8225,plain,
% 72.70/45.53 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)) | v125(constB49))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)) | v125(constB49))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8226,plain,
% 72.70/45.53 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)) | v125(constB49))),
% 72.70/45.53 inference(quant_inst,[status(thm)],[])).
% 72.70/45.53 tff(8227,plain,
% 72.70/45.53 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)) | v125(constB49)),
% 72.70/45.53 inference(modus_ponens,[status(thm)],[8226, 8225])).
% 72.70/45.53 tff(8228,plain,
% 72.70/45.53 (v125(constB49)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8227, 2036, 8224, 8143, 8108])).
% 72.70/45.53 tff(8229,plain,
% 72.70/45.53 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB49) | (~v125(constB49)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB49) | (~v125(constB49)))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8230,plain,
% 72.70/45.53 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB49) | (~v125(constB49)))),
% 72.70/45.53 inference(quant_inst,[status(thm)],[])).
% 72.70/45.53 tff(8231,plain,
% 72.70/45.53 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB49) | (~v125(constB49))),
% 72.70/45.53 inference(modus_ponens,[status(thm)],[8230, 8229])).
% 72.70/45.53 tff(8232,plain,
% 72.70/45.53 (v113(constB49)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8231, 2047, 8228])).
% 72.70/45.53 tff(8233,assumption,(~v108(constB49)), introduced(assumption)).
% 72.70/45.53 tff(8234,plain,
% 72.70/45.53 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB49) | (~v112(constB49)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB49) | (~v112(constB49)))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8235,plain,
% 72.70/45.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB49) | (~v112(constB49)))),
% 72.70/45.53 inference(quant_inst,[status(thm)],[])).
% 72.70/45.53 tff(8236,plain,
% 72.70/45.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB49) | (~v112(constB49))),
% 72.70/45.53 inference(modus_ponens,[status(thm)],[8235, 8234])).
% 72.70/45.53 tff(8237,plain,
% 72.70/45.53 (~v112(constB49)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8236, 210, 8233])).
% 72.70/45.53 tff(8238,plain,
% 72.70/45.53 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB49) | (~v26(constB49)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB49) | (~v26(constB49)))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8239,plain,
% 72.70/45.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB49) | (~v26(constB49)))),
% 72.70/45.53 inference(quant_inst,[status(thm)],[])).
% 72.70/45.53 tff(8240,plain,
% 72.70/45.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB49) | (~v26(constB49))),
% 72.70/45.53 inference(modus_ponens,[status(thm)],[8239, 8238])).
% 72.70/45.53 tff(8241,plain,
% 72.70/45.53 (~v26(constB49)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8240, 221, 8233])).
% 72.70/45.53 tff(8242,assumption,(v113(constB49)), introduced(assumption)).
% 72.70/45.53 tff(8243,plain,
% 72.70/45.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | v112(constB49) | (~v113(constB49)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | v112(constB49) | (~v113(constB49)))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8244,plain,
% 72.70/45.53 ((v26(constB49) | (~v113(constB49)) | v112(constB49)) <=> (v26(constB49) | v112(constB49) | (~v113(constB49)))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8245,plain,
% 72.70/45.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | v112(constB49) | (~v113(constB49))))),
% 72.70/45.53 inference(monotonicity,[status(thm)],[8244])).
% 72.70/45.53 tff(8246,plain,
% 72.70/45.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | v112(constB49) | (~v113(constB49)))),
% 72.70/45.53 inference(transitivity,[status(thm)],[8245, 8243])).
% 72.70/45.53 tff(8247,plain,
% 72.70/45.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))),
% 72.70/45.53 inference(quant_inst,[status(thm)],[])).
% 72.70/45.53 tff(8248,plain,
% 72.70/45.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | v112(constB49) | (~v113(constB49))),
% 72.70/45.53 inference(modus_ponens,[status(thm)],[8247, 8246])).
% 72.70/45.53 tff(8249,plain,
% 72.70/45.53 (v26(constB49) | v112(constB49)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8248, 301, 8242])).
% 72.70/45.53 tff(8250,plain,
% 72.70/45.53 ($false),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8249, 8241, 8237])).
% 72.70/45.53 tff(8251,plain,(v108(constB49) | (~v113(constB49))), inference(lemma,lemma(discharge,[]))).
% 72.70/45.53 tff(8252,plain,
% 72.70/45.53 (v108(constB49)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8251, 8232])).
% 72.70/45.53 tff(8253,plain,
% 72.70/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8254,plain,
% 72.70/45.53 (((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50)) <=> ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8255,plain,
% 72.70/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49))))),
% 72.70/45.53 inference(monotonicity,[status(thm)],[8254])).
% 72.70/45.53 tff(8256,plain,
% 72.70/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 72.70/45.53 inference(transitivity,[status(thm)],[8255, 8253])).
% 72.70/45.53 tff(8257,plain,
% 72.70/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))),
% 72.70/45.53 inference(quant_inst,[status(thm)],[])).
% 72.70/45.53 tff(8258,plain,
% 72.70/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49))),
% 72.70/45.53 inference(modus_ponens,[status(thm)],[8257, 8256])).
% 72.70/45.53 tff(8259,plain,
% 72.70/45.53 (v110(constB50) | (~v108(constB49))),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8258, 317, 8185])).
% 72.70/45.53 tff(8260,plain,
% 72.70/45.53 (v110(constB50)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8259, 8252])).
% 72.70/45.53 tff(8261,plain,
% 72.70/45.53 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8262,plain,
% 72.70/45.53 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))),
% 72.70/45.53 inference(quant_inst,[status(thm)],[])).
% 72.70/45.53 tff(8263,plain,
% 72.70/45.53 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50))),
% 72.70/45.53 inference(modus_ponens,[status(thm)],[8262, 8261])).
% 72.70/45.53 tff(8264,plain,
% 72.70/45.53 (~v104(constB50)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8263, 335, 8185, 8084])).
% 72.70/45.53 tff(8265,plain,
% 72.70/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8266,plain,
% 72.70/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))),
% 72.70/45.53 inference(quant_inst,[status(thm)],[])).
% 72.70/45.53 tff(8267,plain,
% 72.70/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v102(constB50) | v104(constB50)),
% 72.70/45.53 inference(modus_ponens,[status(thm)],[8266, 8265])).
% 72.70/45.53 tff(8268,plain,
% 72.70/45.53 (v102(constB50) | v104(constB50)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8267, 349, 8185])).
% 72.70/45.53 tff(8269,plain,
% 72.70/45.53 (v102(constB50)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8268, 8264])).
% 72.70/45.53 tff(8270,plain,
% 72.70/45.53 (v1(constB50) <=> v1(constB50)),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8271,axiom,(v1(constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_50_1')).
% 72.70/45.53 tff(8272,plain,
% 72.70/45.53 (v1(constB50)),
% 72.70/45.53 inference(modus_ponens,[status(thm)],[8271, 8270])).
% 72.70/45.53 tff(8273,plain,
% 72.70/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))),
% 72.70/45.53 inference(rewrite,[status(thm)],[])).
% 72.70/45.53 tff(8274,plain,
% 72.70/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))),
% 72.70/45.53 inference(quant_inst,[status(thm)],[])).
% 72.70/45.53 tff(8275,plain,
% 72.70/45.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50))),
% 72.70/45.53 inference(modus_ponens,[status(thm)],[8274, 8273])).
% 72.70/45.53 tff(8276,plain,
% 72.70/45.53 (v101(constB50) | (~v102(constB50))),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8275, 367, 8185, 8272])).
% 72.70/45.53 tff(8277,plain,
% 72.70/45.53 (v101(constB50)),
% 72.70/45.53 inference(unit_resolution,[status(thm)],[8276, 8269])).
% 72.70/45.53 tff(8278,plain,
% 72.70/45.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8279,plain,
% 72.70/45.54 (((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50)) <=> ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8280,plain,
% 72.70/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50))))),
% 72.70/45.54 inference(monotonicity,[status(thm)],[8279])).
% 72.70/45.54 tff(8281,plain,
% 72.70/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 72.70/45.54 inference(transitivity,[status(thm)],[8280, 8278])).
% 72.70/45.54 tff(8282,plain,
% 72.70/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))),
% 72.70/45.54 inference(quant_inst,[status(thm)],[])).
% 72.70/45.54 tff(8283,plain,
% 72.70/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50))),
% 72.70/45.54 inference(modus_ponens,[status(thm)],[8282, 8281])).
% 72.70/45.54 tff(8284,plain,
% 72.70/45.54 (v100(constB50) | (~v101(constB50)) | (~v110(constB50))),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8283, 382, 8185])).
% 72.70/45.54 tff(8285,plain,
% 72.70/45.54 (v100(constB50) | (~v110(constB50))),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8284, 8277])).
% 72.70/45.54 tff(8286,plain,
% 72.70/45.54 (v100(constB50)),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8285, 8260])).
% 72.70/45.54 tff(8287,plain,
% 72.70/45.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8288,plain,
% 72.70/45.54 (((~v90(constB50, bitIndex2)) | (~v100(constB50)) | v129(constB50, bitIndex2)) <=> ((~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8289,plain,
% 72.70/45.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB50, bitIndex2)) | (~v100(constB50)) | v129(constB50, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50))))),
% 72.70/45.54 inference(monotonicity,[status(thm)],[8288])).
% 72.70/45.54 tff(8290,plain,
% 72.70/45.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB50, bitIndex2)) | (~v100(constB50)) | v129(constB50, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))),
% 72.70/45.54 inference(transitivity,[status(thm)],[8289, 8287])).
% 72.70/45.54 tff(8291,plain,
% 72.70/45.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB50, bitIndex2)) | (~v100(constB50)) | v129(constB50, bitIndex2))),
% 72.70/45.54 inference(quant_inst,[status(thm)],[])).
% 72.70/45.54 tff(8292,plain,
% 72.70/45.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50))),
% 72.70/45.54 inference(modus_ponens,[status(thm)],[8291, 8290])).
% 72.70/45.54 tff(8293,plain,
% 72.70/45.54 (~v90(constB50, bitIndex2)),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8292, 503, 8286, 8190])).
% 72.70/45.54 tff(8294,plain,
% 72.70/45.54 ((~v1(constB51)) <=> (~v1(constB51))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8295,axiom,(~v1(constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_51_1_1')).
% 72.70/45.54 tff(8296,plain,
% 72.70/45.54 (~v1(constB51)),
% 72.70/45.54 inference(modus_ponens,[status(thm)],[8295, 8294])).
% 72.70/45.54 tff(8297,plain,
% 72.70/45.54 (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8298,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_50_1')).
% 72.70/45.54 tff(8299,plain,
% 72.70/45.54 (nextState(constB50, constB51)),
% 72.70/45.54 inference(modus_ponens,[status(thm)],[8298, 8297])).
% 72.70/45.54 tff(8300,plain,
% 72.70/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8301,plain,
% 72.70/45.54 (((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51)) <=> (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8302,plain,
% 72.70/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51))))),
% 72.70/45.54 inference(monotonicity,[status(thm)],[8301])).
% 72.70/45.54 tff(8303,plain,
% 72.70/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 72.70/45.54 inference(transitivity,[status(thm)],[8302, 8300])).
% 72.70/45.54 tff(8304,plain,
% 72.70/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))),
% 72.70/45.54 inference(quant_inst,[status(thm)],[])).
% 72.70/45.54 tff(8305,plain,
% 72.70/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51))),
% 72.70/45.54 inference(modus_ponens,[status(thm)],[8304, 8303])).
% 72.70/45.54 tff(8306,plain,
% 72.70/45.54 (~v101(constB51)),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8305, 56, 8299, 8296])).
% 72.70/45.54 tff(8307,plain,
% 72.70/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8308,plain,
% 72.70/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))),
% 72.70/45.54 inference(quant_inst,[status(thm)],[])).
% 72.70/45.54 tff(8309,plain,
% 72.70/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51))),
% 72.70/45.54 inference(modus_ponens,[status(thm)],[8308, 8307])).
% 72.70/45.54 tff(8310,plain,
% 72.70/45.54 (v101(constB51) | (~v100(constB51))),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8309, 73, 8299])).
% 72.70/45.54 tff(8311,plain,
% 72.70/45.54 (~v100(constB51)),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8310, 8306])).
% 72.70/45.54 tff(8312,plain,
% 72.70/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8313,plain,
% 72.70/45.54 (((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2))) <=> (v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8314,plain,
% 72.70/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2))))),
% 72.70/45.54 inference(monotonicity,[status(thm)],[8313])).
% 72.70/45.54 tff(8315,plain,
% 72.70/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 72.70/45.54 inference(transitivity,[status(thm)],[8314, 8312])).
% 72.70/45.54 tff(8316,plain,
% 72.70/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 72.70/45.54 inference(quant_inst,[status(thm)],[])).
% 72.70/45.54 tff(8317,plain,
% 72.70/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2))),
% 72.70/45.54 inference(modus_ponens,[status(thm)],[8316, 8315])).
% 72.70/45.54 tff(8318,plain,
% 72.70/45.54 (v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2))),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8317, 88, 8299])).
% 72.70/45.54 tff(8319,plain,
% 72.70/45.54 (v90(constB50, bitIndex2) | (~v90(constB51, bitIndex2))),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8318, 8311])).
% 72.70/45.54 tff(8320,plain,
% 72.70/45.54 (~v90(constB51, bitIndex2)),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8319, 8293])).
% 72.70/45.54 tff(8321,plain,
% 72.70/45.54 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB49, bitIndex1)) | v124(constB49) | v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB49, bitIndex1)) | v124(constB49) | v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8322,plain,
% 72.70/45.54 ((v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1))) <=> ((~v130(constB49, bitIndex1)) | v124(constB49) | v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8323,plain,
% 72.70/45.54 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB49, bitIndex1)) | v124(constB49) | v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49)))),
% 72.70/45.54 inference(monotonicity,[status(thm)],[8322])).
% 72.70/45.54 tff(8324,plain,
% 72.70/45.54 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB49, bitIndex1)) | v124(constB49) | v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49))),
% 72.70/45.54 inference(transitivity,[status(thm)],[8323, 8321])).
% 72.70/45.54 tff(8325,plain,
% 72.70/45.54 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, bitIndex1)))),
% 72.70/45.54 inference(quant_inst,[status(thm)],[])).
% 72.70/45.54 tff(8326,plain,
% 72.70/45.54 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB49, bitIndex1)) | v124(constB49) | v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49)),
% 72.70/45.54 inference(modus_ponens,[status(thm)],[8325, 8324])).
% 72.70/45.54 tff(8327,plain,
% 72.70/45.54 (~v130(constB49, bitIndex1)),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8326, 2146, 8163, 8159, 8155, 8151, 8147, 8112])).
% 72.70/45.54 tff(8328,plain,
% 72.70/45.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8329,plain,
% 72.70/45.54 ((v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1))) <=> ((~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8330,plain,
% 72.70/45.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1)))),
% 72.70/45.54 inference(monotonicity,[status(thm)],[8329])).
% 72.70/45.54 tff(8331,plain,
% 72.70/45.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1))),
% 72.70/45.54 inference(transitivity,[status(thm)],[8330, 8328])).
% 72.70/45.54 tff(8332,plain,
% 72.70/45.54 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB49) | v130(constB49, bitIndex1) | (~v127(constB49, bitIndex1)))),
% 72.70/45.54 inference(quant_inst,[status(thm)],[])).
% 72.70/45.54 tff(8333,plain,
% 72.70/45.54 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB49, bitIndex1)) | v26(constB49) | v130(constB49, bitIndex1)),
% 72.70/45.54 inference(modus_ponens,[status(thm)],[8332, 8331])).
% 72.70/45.54 tff(8334,plain,
% 72.70/45.54 ((~v127(constB49, bitIndex1)) | v130(constB49, bitIndex1)),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8333, 555, 8174])).
% 72.70/45.54 tff(8335,plain,
% 72.70/45.54 (~v127(constB49, bitIndex1)),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8334, 8327])).
% 72.70/45.54 tff(8336,plain,
% 72.70/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1)))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8337,plain,
% 72.70/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1)))),
% 72.70/45.54 inference(quant_inst,[status(thm)],[])).
% 72.70/45.54 tff(8338,plain,
% 72.70/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1))),
% 72.70/45.54 inference(modus_ponens,[status(thm)],[8337, 8336])).
% 72.70/45.54 tff(8339,plain,
% 72.70/45.54 (v127(constB49, bitIndex1) | (~v129(constB50, bitIndex1))),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8338, 588, 8185])).
% 72.70/45.54 tff(8340,plain,
% 72.70/45.54 (~v129(constB50, bitIndex1)),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8339, 8335])).
% 72.70/45.54 tff(8341,plain,
% 72.70/45.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50)))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8342,plain,
% 72.70/45.54 (((~v90(constB50, bitIndex1)) | (~v100(constB50)) | v129(constB50, bitIndex1)) <=> ((~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50)))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8343,plain,
% 72.70/45.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | (~v100(constB50)) | v129(constB50, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50))))),
% 72.70/45.54 inference(monotonicity,[status(thm)],[8342])).
% 72.70/45.54 tff(8344,plain,
% 72.70/45.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | (~v100(constB50)) | v129(constB50, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50)))),
% 72.70/45.54 inference(transitivity,[status(thm)],[8343, 8341])).
% 72.70/45.54 tff(8345,plain,
% 72.70/45.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB50, bitIndex1)) | (~v100(constB50)) | v129(constB50, bitIndex1))),
% 72.70/45.54 inference(quant_inst,[status(thm)],[])).
% 72.70/45.54 tff(8346,plain,
% 72.70/45.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1) | (~v100(constB50))),
% 72.70/45.54 inference(modus_ponens,[status(thm)],[8345, 8344])).
% 72.70/45.54 tff(8347,plain,
% 72.70/45.54 (~v90(constB50, bitIndex1)),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8346, 603, 8286, 8340])).
% 72.70/45.54 tff(8348,plain,
% 72.70/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1)))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8349,plain,
% 72.70/45.54 (((~nextState(constB50, constB51)) | v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1))) <=> (v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1)))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8350,plain,
% 72.70/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1))))),
% 72.70/45.54 inference(monotonicity,[status(thm)],[8349])).
% 72.70/45.54 tff(8351,plain,
% 72.70/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1)))),
% 72.70/45.54 inference(transitivity,[status(thm)],[8350, 8348])).
% 72.70/45.54 tff(8352,plain,
% 72.70/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB50, constB51)) | v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1)))),
% 72.70/45.54 inference(quant_inst,[status(thm)],[])).
% 72.70/45.54 tff(8353,plain,
% 72.70/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex1))),
% 72.70/45.54 inference(modus_ponens,[status(thm)],[8352, 8351])).
% 72.70/45.54 tff(8354,plain,
% 72.70/45.54 (v90(constB50, bitIndex1) | v100(constB51) | (~v90(constB51, bitIndex1))),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8353, 109, 8299])).
% 72.70/45.54 tff(8355,plain,
% 72.70/45.54 (v90(constB50, bitIndex1) | (~v90(constB51, bitIndex1))),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8354, 8311])).
% 72.70/45.54 tff(8356,plain,
% 72.70/45.54 (~v90(constB51, bitIndex1)),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8355, 8347])).
% 72.70/45.54 tff(8357,plain,
% 72.70/45.54 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB49, bitIndex0) | v124(constB49) | v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB49, bitIndex0) | v124(constB49) | v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8358,plain,
% 72.70/45.54 ((v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, bitIndex0)) <=> (v130(constB49, bitIndex0) | v124(constB49) | v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8359,plain,
% 72.70/45.54 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB49, bitIndex0) | v124(constB49) | v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49)))),
% 72.70/45.54 inference(monotonicity,[status(thm)],[8358])).
% 72.70/45.54 tff(8360,plain,
% 72.70/45.54 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB49, bitIndex0) | v124(constB49) | v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49))),
% 72.70/45.54 inference(transitivity,[status(thm)],[8359, 8357])).
% 72.70/45.54 tff(8361,plain,
% 72.70/45.54 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, bitIndex0))),
% 72.70/45.54 inference(quant_inst,[status(thm)],[])).
% 72.70/45.54 tff(8362,plain,
% 72.70/45.54 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB49, bitIndex0) | v124(constB49) | v120(constB49) | v119(constB49) | v121(constB49) | v122(constB49) | v123(constB49)),
% 72.70/45.54 inference(modus_ponens,[status(thm)],[8361, 8360])).
% 72.70/45.54 tff(8363,plain,
% 72.70/45.54 (v130(constB49, bitIndex0)),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8362, 2192, 8163, 8159, 8155, 8151, 8147, 8112])).
% 72.70/45.54 tff(8364,plain,
% 72.70/45.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8365,plain,
% 72.70/45.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0))),
% 72.70/45.54 inference(quant_inst,[status(thm)],[])).
% 72.70/45.54 tff(8366,plain,
% 72.70/45.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0)),
% 72.70/45.54 inference(modus_ponens,[status(thm)],[8365, 8364])).
% 72.70/45.54 tff(8367,plain,
% 72.70/45.54 ((~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0)),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8366, 179, 8174])).
% 72.70/45.54 tff(8368,plain,
% 72.70/45.54 (v127(constB49, bitIndex0)),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8367, 8363])).
% 72.70/45.54 tff(8369,plain,
% 72.70/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8370,plain,
% 72.70/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0))),
% 72.70/45.54 inference(quant_inst,[status(thm)],[])).
% 72.70/45.54 tff(8371,plain,
% 72.70/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0)),
% 72.70/45.54 inference(modus_ponens,[status(thm)],[8370, 8369])).
% 72.70/45.54 tff(8372,plain,
% 72.70/45.54 ((~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0)),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8371, 197, 8185])).
% 72.70/45.54 tff(8373,plain,
% 72.70/45.54 (v129(constB50, bitIndex0)),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8372, 8368])).
% 72.70/45.54 tff(8374,plain,
% 72.70/45.54 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8375,plain,
% 72.70/45.54 ((v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0))) <=> (v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8376,plain,
% 72.70/45.54 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50))))),
% 72.70/45.54 inference(monotonicity,[status(thm)],[8375])).
% 72.70/45.54 tff(8377,plain,
% 72.70/45.54 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))),
% 72.70/45.54 inference(transitivity,[status(thm)],[8376, 8374])).
% 72.70/45.54 tff(8378,plain,
% 72.70/45.54 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0)))),
% 72.70/45.54 inference(quant_inst,[status(thm)],[])).
% 72.70/45.54 tff(8379,plain,
% 72.70/45.54 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50))),
% 72.70/45.54 inference(modus_ponens,[status(thm)],[8378, 8377])).
% 72.70/45.54 tff(8380,plain,
% 72.70/45.54 (v90(constB50, bitIndex0)),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8379, 401, 8286, 8373])).
% 72.70/45.54 tff(8381,plain,
% 72.70/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8382,plain,
% 72.70/45.54 (((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0)) <=> ((~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8383,plain,
% 72.70/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0)))),
% 72.70/45.54 inference(monotonicity,[status(thm)],[8382])).
% 72.70/45.54 tff(8384,plain,
% 72.70/45.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))),
% 72.70/45.54 inference(transitivity,[status(thm)],[8383, 8381])).
% 72.70/45.54 tff(8385,plain,
% 72.70/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0))),
% 72.70/45.54 inference(quant_inst,[status(thm)],[])).
% 72.70/45.54 tff(8386,plain,
% 72.70/45.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0)),
% 72.70/45.54 inference(modus_ponens,[status(thm)],[8385, 8384])).
% 72.70/45.54 tff(8387,plain,
% 72.70/45.54 ((~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0)),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8386, 437, 8299])).
% 72.70/45.54 tff(8388,plain,
% 72.70/45.54 ((~v90(constB50, bitIndex0)) | v90(constB51, bitIndex0)),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8387, 8311])).
% 72.70/45.54 tff(8389,plain,
% 72.70/45.54 (v90(constB51, bitIndex0)),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8388, 8380])).
% 72.70/45.54 tff(8390,plain,
% 72.70/45.54 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8391,plain,
% 72.70/45.54 (((~v90(constB51, bitIndex0)) | v120(constB51) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2)) <=> ((~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51))),
% 72.70/45.54 inference(rewrite,[status(thm)],[])).
% 72.70/45.54 tff(8392,plain,
% 72.70/45.54 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB51, bitIndex0)) | v120(constB51) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51)))),
% 72.70/45.54 inference(monotonicity,[status(thm)],[8391])).
% 72.70/45.54 tff(8393,plain,
% 72.70/45.54 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB51, bitIndex0)) | v120(constB51) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51))),
% 72.70/45.54 inference(transitivity,[status(thm)],[8392, 8390])).
% 72.70/45.54 tff(8394,plain,
% 72.70/45.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB51, bitIndex0)) | v120(constB51) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2))),
% 72.70/45.54 inference(quant_inst,[status(thm)],[])).
% 72.70/45.54 tff(8395,plain,
% 72.70/45.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB51, bitIndex0)) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | v120(constB51)),
% 72.70/45.54 inference(modus_ponens,[status(thm)],[8394, 8393])).
% 72.70/45.54 tff(8396,plain,
% 72.70/45.54 (v120(constB51)),
% 72.70/45.54 inference(unit_resolution,[status(thm)],[8395, 631, 8389, 8356, 8320])).
% 72.70/45.54 tff(8397,plain,
% 72.70/45.54 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB51) | (~v120(constB51)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB51) | (~v120(constB51)))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8398,plain,
% 72.70/45.55 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB51) | (~v120(constB51)))),
% 72.70/45.55 inference(quant_inst,[status(thm)],[])).
% 72.70/45.55 tff(8399,plain,
% 72.70/45.55 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB51) | (~v120(constB51))),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8398, 8397])).
% 72.70/45.55 tff(8400,plain,
% 72.70/45.55 (v118(constB51)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8399, 646, 8396])).
% 72.70/45.55 tff(8401,plain,
% 72.70/45.55 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB51) | (~v118(constB51)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB51) | (~v118(constB51)))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8402,plain,
% 72.70/45.55 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB51) | (~v118(constB51)))),
% 72.70/45.55 inference(quant_inst,[status(thm)],[])).
% 72.70/45.55 tff(8403,plain,
% 72.70/45.55 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB51) | (~v118(constB51))),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8402, 8401])).
% 72.70/45.55 tff(8404,plain,
% 72.70/45.55 (v117(constB51)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8403, 243, 8400])).
% 72.70/45.55 tff(8405,plain,
% 72.70/45.55 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB51) | (~v117(constB51)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB51) | (~v117(constB51)))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8406,plain,
% 72.70/45.55 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB51) | (~v117(constB51)))),
% 72.70/45.55 inference(quant_inst,[status(thm)],[])).
% 72.70/45.55 tff(8407,plain,
% 72.70/45.55 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB51) | (~v117(constB51))),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8406, 8405])).
% 72.70/45.55 tff(8408,plain,
% 72.70/45.55 (v116(constB51)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8407, 254, 8404])).
% 72.70/45.55 tff(8409,plain,
% 72.70/45.55 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB51) | (~v116(constB51)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB51) | (~v116(constB51)))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8410,plain,
% 72.70/45.55 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB51) | (~v116(constB51)))),
% 72.70/45.55 inference(quant_inst,[status(thm)],[])).
% 72.70/45.55 tff(8411,plain,
% 72.70/45.55 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB51) | (~v116(constB51))),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8410, 8409])).
% 72.70/45.55 tff(8412,plain,
% 72.70/45.55 (v115(constB51)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8411, 265, 8408])).
% 72.70/45.55 tff(8413,plain,
% 72.70/45.55 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB51) | (~v115(constB51)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB51) | (~v115(constB51)))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8414,plain,
% 72.70/45.55 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB51) | (~v115(constB51)))),
% 72.70/45.55 inference(quant_inst,[status(thm)],[])).
% 72.70/45.55 tff(8415,plain,
% 72.70/45.55 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB51) | (~v115(constB51))),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8414, 8413])).
% 72.70/45.55 tff(8416,plain,
% 72.70/45.55 (v114(constB51)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8415, 276, 8412])).
% 72.70/45.55 tff(8417,plain,
% 72.70/45.55 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB51) | (~v114(constB51)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB51) | (~v114(constB51)))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8418,plain,
% 72.70/45.55 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB51) | (~v114(constB51)))),
% 72.70/45.55 inference(quant_inst,[status(thm)],[])).
% 72.70/45.55 tff(8419,plain,
% 72.70/45.55 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB51) | (~v114(constB51))),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8418, 8417])).
% 72.70/45.55 tff(8420,plain,
% 72.70/45.55 (v113(constB51)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8419, 287, 8416])).
% 72.70/45.55 tff(8421,assumption,(v26(constB51)), introduced(assumption)).
% 72.70/45.55 tff(8422,plain,
% 72.70/45.55 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB51))),
% 72.70/45.55 inference(quant_inst,[status(thm)],[])).
% 72.70/45.55 tff(8423,plain,
% 72.70/45.55 ($false),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8422, 37, 8421])).
% 72.70/45.55 tff(8424,plain,(~v26(constB51)), inference(lemma,lemma(discharge,[]))).
% 72.70/45.55 tff(8425,plain,
% 72.70/45.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | v112(constB51) | (~v113(constB51)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | v112(constB51) | (~v113(constB51)))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8426,plain,
% 72.70/45.55 ((v26(constB51) | (~v113(constB51)) | v112(constB51)) <=> (v26(constB51) | v112(constB51) | (~v113(constB51)))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8427,plain,
% 72.70/45.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | v112(constB51) | (~v113(constB51))))),
% 72.70/45.55 inference(monotonicity,[status(thm)],[8426])).
% 72.70/45.55 tff(8428,plain,
% 72.70/45.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | v112(constB51) | (~v113(constB51)))),
% 72.70/45.55 inference(transitivity,[status(thm)],[8427, 8425])).
% 72.70/45.55 tff(8429,plain,
% 72.70/45.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))),
% 72.70/45.55 inference(quant_inst,[status(thm)],[])).
% 72.70/45.55 tff(8430,plain,
% 72.70/45.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | v112(constB51) | (~v113(constB51))),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8429, 8428])).
% 72.70/45.55 tff(8431,plain,
% 72.70/45.55 (v112(constB51) | (~v113(constB51))),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8430, 301, 8424])).
% 72.70/45.55 tff(8432,plain,
% 72.70/45.55 (v112(constB51)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8431, 8420])).
% 72.70/45.55 tff(8433,plain,
% 72.70/45.55 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB51) | (~v112(constB51)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB51) | (~v112(constB51)))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8434,plain,
% 72.70/45.55 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB51) | (~v112(constB51)))),
% 72.70/45.55 inference(quant_inst,[status(thm)],[])).
% 72.70/45.55 tff(8435,plain,
% 72.70/45.55 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB51) | (~v112(constB51))),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8434, 8433])).
% 72.70/45.55 tff(8436,plain,
% 72.70/45.55 (v108(constB51)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8435, 210, 8432])).
% 72.70/45.55 tff(8437,plain,
% 72.70/45.55 (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8438,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_51_1')).
% 72.70/45.55 tff(8439,plain,
% 72.70/45.55 (nextState(constB51, constB52)),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8438, 8437])).
% 72.70/45.55 tff(8440,plain,
% 72.70/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8441,plain,
% 72.70/45.55 (((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52)) <=> ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8442,plain,
% 72.70/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51))))),
% 72.70/45.55 inference(monotonicity,[status(thm)],[8441])).
% 72.70/45.55 tff(8443,plain,
% 72.70/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 72.70/45.55 inference(transitivity,[status(thm)],[8442, 8440])).
% 72.70/45.55 tff(8444,plain,
% 72.70/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))),
% 72.70/45.55 inference(quant_inst,[status(thm)],[])).
% 72.70/45.55 tff(8445,plain,
% 72.70/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51))),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8444, 8443])).
% 72.70/45.55 tff(8446,plain,
% 72.70/45.55 (v110(constB52) | (~v108(constB51))),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8445, 317, 8439])).
% 72.70/45.55 tff(8447,plain,
% 72.70/45.55 (v110(constB52)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8446, 8436])).
% 72.70/45.55 tff(8448,plain,
% 72.70/45.55 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8449,plain,
% 72.70/45.55 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))),
% 72.70/45.55 inference(quant_inst,[status(thm)],[])).
% 72.70/45.55 tff(8450,plain,
% 72.70/45.55 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52))),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8449, 8448])).
% 72.70/45.55 tff(8451,plain,
% 72.70/45.55 (~v104(constB52)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8450, 335, 8439, 8296])).
% 72.70/45.55 tff(8452,plain,
% 72.70/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8453,plain,
% 72.70/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))),
% 72.70/45.55 inference(quant_inst,[status(thm)],[])).
% 72.70/45.55 tff(8454,plain,
% 72.70/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v102(constB52) | v104(constB52)),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8453, 8452])).
% 72.70/45.55 tff(8455,plain,
% 72.70/45.55 (v102(constB52) | v104(constB52)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8454, 349, 8439])).
% 72.70/45.55 tff(8456,plain,
% 72.70/45.55 (v102(constB52)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8455, 8451])).
% 72.70/45.55 tff(8457,plain,
% 72.70/45.55 (v1(constB52) <=> v1(constB52)),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8458,axiom,(v1(constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_52_1')).
% 72.70/45.55 tff(8459,plain,
% 72.70/45.55 (v1(constB52)),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8458, 8457])).
% 72.70/45.55 tff(8460,plain,
% 72.70/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8461,plain,
% 72.70/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))),
% 72.70/45.55 inference(quant_inst,[status(thm)],[])).
% 72.70/45.55 tff(8462,plain,
% 72.70/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52))),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8461, 8460])).
% 72.70/45.55 tff(8463,plain,
% 72.70/45.55 (v101(constB52) | (~v102(constB52))),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8462, 367, 8439, 8459])).
% 72.70/45.55 tff(8464,plain,
% 72.70/45.55 (v101(constB52)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8463, 8456])).
% 72.70/45.55 tff(8465,plain,
% 72.70/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8466,plain,
% 72.70/45.55 (((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52)) <=> ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8467,plain,
% 72.70/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52))))),
% 72.70/45.55 inference(monotonicity,[status(thm)],[8466])).
% 72.70/45.55 tff(8468,plain,
% 72.70/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 72.70/45.55 inference(transitivity,[status(thm)],[8467, 8465])).
% 72.70/45.55 tff(8469,plain,
% 72.70/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))),
% 72.70/45.55 inference(quant_inst,[status(thm)],[])).
% 72.70/45.55 tff(8470,plain,
% 72.70/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52))),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8469, 8468])).
% 72.70/45.55 tff(8471,plain,
% 72.70/45.55 (v100(constB52) | (~v101(constB52)) | (~v110(constB52))),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8470, 382, 8439])).
% 72.70/45.55 tff(8472,plain,
% 72.70/45.55 (v100(constB52) | (~v110(constB52))),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8471, 8464])).
% 72.70/45.55 tff(8473,plain,
% 72.70/45.55 (v100(constB52)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8472, 8447])).
% 72.70/45.55 tff(8474,plain,
% 72.70/45.55 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB51)) | (~v130(constB51, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB51)) | (~v130(constB51, bitIndex2)))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8475,plain,
% 72.70/45.55 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB51)) | (~v130(constB51, bitIndex2)))),
% 72.70/45.55 inference(quant_inst,[status(thm)],[])).
% 72.70/45.55 tff(8476,plain,
% 72.70/45.55 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB51)) | (~v130(constB51, bitIndex2))),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8475, 8474])).
% 72.70/45.55 tff(8477,plain,
% 72.70/45.55 (~v130(constB51, bitIndex2)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8476, 730, 8396])).
% 72.70/45.55 tff(8478,plain,
% 72.70/45.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8479,plain,
% 72.70/45.55 ((v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2))) <=> ((~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8480,plain,
% 72.70/45.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2)))),
% 72.70/45.55 inference(monotonicity,[status(thm)],[8479])).
% 72.70/45.55 tff(8481,plain,
% 72.70/45.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2))),
% 72.70/45.55 inference(transitivity,[status(thm)],[8480, 8478])).
% 72.70/45.55 tff(8482,plain,
% 72.70/45.55 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB51) | v130(constB51, bitIndex2) | (~v127(constB51, bitIndex2)))),
% 72.70/45.55 inference(quant_inst,[status(thm)],[])).
% 72.70/45.55 tff(8483,plain,
% 72.70/45.55 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB51, bitIndex2)) | v26(constB51) | v130(constB51, bitIndex2)),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8482, 8481])).
% 72.70/45.55 tff(8484,plain,
% 72.70/45.55 ((~v127(constB51, bitIndex2)) | v130(constB51, bitIndex2)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8483, 470, 8424])).
% 72.70/45.55 tff(8485,plain,
% 72.70/45.55 (~v127(constB51, bitIndex2)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8484, 8477])).
% 72.70/45.55 tff(8486,plain,
% 72.70/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2)))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8487,plain,
% 72.70/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2)))),
% 72.70/45.55 inference(quant_inst,[status(thm)],[])).
% 72.70/45.55 tff(8488,plain,
% 72.70/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2))),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8487, 8486])).
% 72.70/45.55 tff(8489,plain,
% 72.70/45.55 (v127(constB51, bitIndex2) | (~v129(constB52, bitIndex2))),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8488, 488, 8439])).
% 72.70/45.55 tff(8490,plain,
% 72.70/45.55 (~v129(constB52, bitIndex2)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8489, 8485])).
% 72.70/45.55 tff(8491,plain,
% 72.70/45.55 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52)))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8492,plain,
% 72.70/45.55 (((~v90(constB52, bitIndex2)) | (~v100(constB52)) | v129(constB52, bitIndex2)) <=> ((~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52)))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8493,plain,
% 72.70/45.55 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | (~v100(constB52)) | v129(constB52, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52))))),
% 72.70/45.55 inference(monotonicity,[status(thm)],[8492])).
% 72.70/45.55 tff(8494,plain,
% 72.70/45.55 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | (~v100(constB52)) | v129(constB52, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52)))),
% 72.70/45.55 inference(transitivity,[status(thm)],[8493, 8491])).
% 72.70/45.55 tff(8495,plain,
% 72.70/45.55 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB52, bitIndex2)) | (~v100(constB52)) | v129(constB52, bitIndex2))),
% 72.70/45.55 inference(quant_inst,[status(thm)],[])).
% 72.70/45.55 tff(8496,plain,
% 72.70/45.55 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2) | (~v100(constB52))),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8495, 8494])).
% 72.70/45.55 tff(8497,plain,
% 72.70/45.55 ((~v90(constB52, bitIndex2)) | (~v100(constB52))),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8496, 503, 8490])).
% 72.70/45.55 tff(8498,plain,
% 72.70/45.55 (~v90(constB52, bitIndex2)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8497, 8473])).
% 72.70/45.55 tff(8499,plain,
% 72.70/45.55 ((~v1(constB53)) <=> (~v1(constB53))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8500,axiom,(~v1(constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_53_1_1')).
% 72.70/45.55 tff(8501,plain,
% 72.70/45.55 (~v1(constB53)),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8500, 8499])).
% 72.70/45.55 tff(8502,plain,
% 72.70/45.55 (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8503,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_52_1')).
% 72.70/45.55 tff(8504,plain,
% 72.70/45.55 (nextState(constB52, constB53)),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8503, 8502])).
% 72.70/45.55 tff(8505,plain,
% 72.70/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8506,plain,
% 72.70/45.55 (((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53)) <=> (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8507,plain,
% 72.70/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53))))),
% 72.70/45.55 inference(monotonicity,[status(thm)],[8506])).
% 72.70/45.55 tff(8508,plain,
% 72.70/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 72.70/45.55 inference(transitivity,[status(thm)],[8507, 8505])).
% 72.70/45.55 tff(8509,plain,
% 72.70/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))),
% 72.70/45.55 inference(quant_inst,[status(thm)],[])).
% 72.70/45.55 tff(8510,plain,
% 72.70/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53))),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8509, 8508])).
% 72.70/45.55 tff(8511,plain,
% 72.70/45.55 (~v101(constB53)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8510, 56, 8504, 8501])).
% 72.70/45.55 tff(8512,plain,
% 72.70/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8513,plain,
% 72.70/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))),
% 72.70/45.55 inference(quant_inst,[status(thm)],[])).
% 72.70/45.55 tff(8514,plain,
% 72.70/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53))),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8513, 8512])).
% 72.70/45.55 tff(8515,plain,
% 72.70/45.55 (v101(constB53) | (~v100(constB53))),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8514, 73, 8504])).
% 72.70/45.55 tff(8516,plain,
% 72.70/45.55 (~v100(constB53)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8515, 8511])).
% 72.70/45.55 tff(8517,plain,
% 72.70/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2)))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8518,plain,
% 72.70/45.55 (((~nextState(constB52, constB53)) | v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2))) <=> (v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2)))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8519,plain,
% 72.70/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2))))),
% 72.70/45.55 inference(monotonicity,[status(thm)],[8518])).
% 72.70/45.55 tff(8520,plain,
% 72.70/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2)))),
% 72.70/45.55 inference(transitivity,[status(thm)],[8519, 8517])).
% 72.70/45.55 tff(8521,plain,
% 72.70/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2)))),
% 72.70/45.55 inference(quant_inst,[status(thm)],[])).
% 72.70/45.55 tff(8522,plain,
% 72.70/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex2))),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8521, 8520])).
% 72.70/45.55 tff(8523,plain,
% 72.70/45.55 (v90(constB52, bitIndex2) | v100(constB53) | (~v90(constB53, bitIndex2))),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8522, 88, 8504])).
% 72.70/45.55 tff(8524,plain,
% 72.70/45.55 (v90(constB52, bitIndex2) | (~v90(constB53, bitIndex2))),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8523, 8516])).
% 72.70/45.55 tff(8525,plain,
% 72.70/45.55 (~v90(constB53, bitIndex2)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8524, 8498])).
% 72.70/45.55 tff(8526,plain,
% 72.70/45.55 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB51)) | v130(constB51, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB51)) | v130(constB51, bitIndex1))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8527,plain,
% 72.70/45.55 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB51)) | v130(constB51, bitIndex1))),
% 72.70/45.55 inference(quant_inst,[status(thm)],[])).
% 72.70/45.55 tff(8528,plain,
% 72.70/45.55 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB51)) | v130(constB51, bitIndex1)),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8527, 8526])).
% 72.70/45.55 tff(8529,plain,
% 72.70/45.55 (v130(constB51, bitIndex1)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8528, 810, 8396])).
% 72.70/45.55 tff(8530,plain,
% 72.70/45.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB51) | (~v130(constB51, bitIndex1)) | v127(constB51, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB51) | (~v130(constB51, bitIndex1)) | v127(constB51, bitIndex1))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8531,plain,
% 72.70/45.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB51) | (~v130(constB51, bitIndex1)) | v127(constB51, bitIndex1))),
% 72.70/45.55 inference(quant_inst,[status(thm)],[])).
% 72.70/45.55 tff(8532,plain,
% 72.70/45.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB51) | (~v130(constB51, bitIndex1)) | v127(constB51, bitIndex1)),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8531, 8530])).
% 72.70/45.55 tff(8533,plain,
% 72.70/45.55 ((~v130(constB51, bitIndex1)) | v127(constB51, bitIndex1)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8532, 824, 8424])).
% 72.70/45.55 tff(8534,plain,
% 72.70/45.55 (v127(constB51, bitIndex1)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8533, 8529])).
% 72.70/45.55 tff(8535,plain,
% 72.70/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB51, constB52)) | (~v127(constB51, bitIndex1)) | v129(constB52, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB51, constB52)) | (~v127(constB51, bitIndex1)) | v129(constB52, bitIndex1))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8536,plain,
% 72.70/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB51, constB52)) | (~v127(constB51, bitIndex1)) | v129(constB52, bitIndex1))),
% 72.70/45.55 inference(quant_inst,[status(thm)],[])).
% 72.70/45.55 tff(8537,plain,
% 72.70/45.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB51, constB52)) | (~v127(constB51, bitIndex1)) | v129(constB52, bitIndex1)),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8536, 8535])).
% 72.70/45.55 tff(8538,plain,
% 72.70/45.55 ((~v127(constB51, bitIndex1)) | v129(constB52, bitIndex1)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8537, 839, 8439])).
% 72.70/45.55 tff(8539,plain,
% 72.70/45.55 (v129(constB52, bitIndex1)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8538, 8534])).
% 72.70/45.55 tff(8540,plain,
% 72.70/45.55 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1)) | (~v100(constB52)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1)) | (~v100(constB52)))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8541,plain,
% 72.70/45.55 ((v90(constB52, bitIndex1) | (~v100(constB52)) | (~v129(constB52, bitIndex1))) <=> (v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1)) | (~v100(constB52)))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8542,plain,
% 72.70/45.55 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~v100(constB52)) | (~v129(constB52, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1)) | (~v100(constB52))))),
% 72.70/45.55 inference(monotonicity,[status(thm)],[8541])).
% 72.70/45.55 tff(8543,plain,
% 72.70/45.55 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~v100(constB52)) | (~v129(constB52, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1)) | (~v100(constB52)))),
% 72.70/45.55 inference(transitivity,[status(thm)],[8542, 8540])).
% 72.70/45.55 tff(8544,plain,
% 72.70/45.55 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB52, bitIndex1) | (~v100(constB52)) | (~v129(constB52, bitIndex1)))),
% 72.70/45.55 inference(quant_inst,[status(thm)],[])).
% 72.70/45.55 tff(8545,plain,
% 72.70/45.55 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1)) | (~v100(constB52))),
% 72.70/45.55 inference(modus_ponens,[status(thm)],[8544, 8543])).
% 72.70/45.55 tff(8546,plain,
% 72.70/45.55 (v90(constB52, bitIndex1) | (~v100(constB52))),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8545, 854, 8539])).
% 72.70/45.55 tff(8547,plain,
% 72.70/45.55 (v90(constB52, bitIndex1)),
% 72.70/45.55 inference(unit_resolution,[status(thm)],[8546, 8473])).
% 72.70/45.55 tff(8548,plain,
% 72.70/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex1))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8549,plain,
% 72.70/45.55 (((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex1)) | v100(constB53) | v90(constB53, bitIndex1)) <=> ((~v90(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex1))),
% 72.70/45.55 inference(rewrite,[status(thm)],[])).
% 72.70/45.55 tff(8550,plain,
% 72.70/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex1)) | v100(constB53) | v90(constB53, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex1)))),
% 72.70/45.55 inference(monotonicity,[status(thm)],[8549])).
% 72.70/45.55 tff(8551,plain,
% 72.70/45.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex1)) | v100(constB53) | v90(constB53, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex1))),
% 72.70/45.56 inference(transitivity,[status(thm)],[8550, 8548])).
% 72.70/45.56 tff(8552,plain,
% 72.70/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex1)) | v100(constB53) | v90(constB53, bitIndex1))),
% 72.70/45.56 inference(quant_inst,[status(thm)],[])).
% 72.70/45.56 tff(8553,plain,
% 72.70/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex1)),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8552, 8551])).
% 72.70/45.56 tff(8554,plain,
% 72.70/45.56 ((~v90(constB52, bitIndex1)) | v100(constB53) | v90(constB53, bitIndex1)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8553, 872, 8504])).
% 72.70/45.56 tff(8555,plain,
% 72.70/45.56 ((~v90(constB52, bitIndex1)) | v90(constB53, bitIndex1)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8554, 8516])).
% 72.70/45.56 tff(8556,plain,
% 72.70/45.56 (v90(constB53, bitIndex1)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8555, 8547])).
% 72.70/45.56 tff(8557,plain,
% 72.70/45.56 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB51)) | (~v130(constB51, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB51)) | (~v130(constB51, bitIndex0)))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8558,plain,
% 72.70/45.56 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB51)) | (~v130(constB51, bitIndex0)))),
% 72.70/45.56 inference(quant_inst,[status(thm)],[])).
% 72.70/45.56 tff(8559,plain,
% 72.70/45.56 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB51)) | (~v130(constB51, bitIndex0))),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8558, 8557])).
% 72.70/45.56 tff(8560,plain,
% 72.70/45.56 (~v130(constB51, bitIndex0)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8559, 891, 8396])).
% 72.70/45.56 tff(8561,plain,
% 72.70/45.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8562,plain,
% 72.70/45.56 ((v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0))) <=> ((~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8563,plain,
% 72.70/45.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0)))),
% 72.70/45.56 inference(monotonicity,[status(thm)],[8562])).
% 72.70/45.56 tff(8564,plain,
% 72.70/45.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))),
% 72.70/45.56 inference(transitivity,[status(thm)],[8563, 8561])).
% 72.70/45.56 tff(8565,plain,
% 72.70/45.56 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0)))),
% 72.70/45.56 inference(quant_inst,[status(thm)],[])).
% 72.70/45.56 tff(8566,plain,
% 72.70/45.56 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0)),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8565, 8564])).
% 72.70/45.56 tff(8567,plain,
% 72.70/45.56 ((~v127(constB51, bitIndex0)) | v130(constB51, bitIndex0)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8566, 905, 8424])).
% 72.70/45.56 tff(8568,plain,
% 72.70/45.56 (~v127(constB51, bitIndex0)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8567, 8560])).
% 72.70/45.56 tff(8569,plain,
% 72.70/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0)))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8570,plain,
% 72.70/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0)))),
% 72.70/45.56 inference(quant_inst,[status(thm)],[])).
% 72.70/45.56 tff(8571,plain,
% 72.70/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0))),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8570, 8569])).
% 72.70/45.56 tff(8572,plain,
% 72.70/45.56 (v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0))),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8571, 923, 8439])).
% 72.70/45.56 tff(8573,plain,
% 72.70/45.56 (~v129(constB52, bitIndex0)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8572, 8568])).
% 72.70/45.56 tff(8574,plain,
% 72.70/45.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8575,plain,
% 72.70/45.56 (((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0)) <=> ((~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8576,plain,
% 72.70/45.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52))))),
% 72.70/45.56 inference(monotonicity,[status(thm)],[8575])).
% 72.70/45.56 tff(8577,plain,
% 72.70/45.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))),
% 72.70/45.56 inference(transitivity,[status(thm)],[8576, 8574])).
% 72.70/45.56 tff(8578,plain,
% 72.70/45.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0))),
% 72.70/45.56 inference(quant_inst,[status(thm)],[])).
% 72.70/45.56 tff(8579,plain,
% 72.70/45.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52))),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8578, 8577])).
% 72.70/45.56 tff(8580,plain,
% 72.70/45.56 ((~v90(constB52, bitIndex0)) | (~v100(constB52))),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8579, 938, 8573])).
% 72.70/45.56 tff(8581,plain,
% 72.70/45.56 (~v90(constB52, bitIndex0)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8580, 8473])).
% 72.70/45.56 tff(8582,plain,
% 72.70/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8583,plain,
% 72.70/45.56 (((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0))) <=> (v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8584,plain,
% 72.70/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0))))),
% 72.70/45.56 inference(monotonicity,[status(thm)],[8583])).
% 72.70/45.56 tff(8585,plain,
% 72.70/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 72.70/45.56 inference(transitivity,[status(thm)],[8584, 8582])).
% 72.70/45.56 tff(8586,plain,
% 72.70/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 72.70/45.56 inference(quant_inst,[status(thm)],[])).
% 72.70/45.56 tff(8587,plain,
% 72.70/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0))),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8586, 8585])).
% 72.70/45.56 tff(8588,plain,
% 72.70/45.56 (v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0))),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8587, 130, 8504])).
% 72.70/45.56 tff(8589,plain,
% 72.70/45.56 (v90(constB52, bitIndex0) | (~v90(constB53, bitIndex0))),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8588, 8516])).
% 72.70/45.56 tff(8590,plain,
% 72.70/45.56 (~v90(constB53, bitIndex0)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8589, 8581])).
% 72.70/45.56 tff(8591,plain,
% 72.70/45.56 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex2) | v121(constB53))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex2) | v121(constB53))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8592,plain,
% 72.70/45.56 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex2) | v121(constB53))),
% 72.70/45.56 inference(quant_inst,[status(thm)],[])).
% 72.70/45.56 tff(8593,plain,
% 72.70/45.56 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)) | v90(constB53, bitIndex2) | v121(constB53)),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8592, 8591])).
% 72.70/45.56 tff(8594,plain,
% 72.70/45.56 (v121(constB53)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8593, 965, 8590, 8556, 8525])).
% 72.70/45.56 tff(8595,plain,
% 72.70/45.56 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB53) | (~v121(constB53)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB53) | (~v121(constB53)))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8596,plain,
% 72.70/45.56 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB53) | (~v121(constB53)))),
% 72.70/45.56 inference(quant_inst,[status(thm)],[])).
% 72.70/45.56 tff(8597,plain,
% 72.70/45.56 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB53) | (~v121(constB53))),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8596, 8595])).
% 72.70/45.56 tff(8598,plain,
% 72.70/45.56 (v117(constB53)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8597, 976, 8594])).
% 72.70/45.56 tff(8599,plain,
% 72.70/45.56 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB53) | (~v117(constB53)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB53) | (~v117(constB53)))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8600,plain,
% 72.70/45.56 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB53) | (~v117(constB53)))),
% 72.70/45.56 inference(quant_inst,[status(thm)],[])).
% 72.70/45.56 tff(8601,plain,
% 72.70/45.56 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB53) | (~v117(constB53))),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8600, 8599])).
% 72.70/45.56 tff(8602,plain,
% 72.70/45.56 (v116(constB53)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8601, 254, 8598])).
% 72.70/45.56 tff(8603,plain,
% 72.70/45.56 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB53) | (~v116(constB53)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB53) | (~v116(constB53)))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8604,plain,
% 72.70/45.56 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB53) | (~v116(constB53)))),
% 72.70/45.56 inference(quant_inst,[status(thm)],[])).
% 72.70/45.56 tff(8605,plain,
% 72.70/45.56 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB53) | (~v116(constB53))),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8604, 8603])).
% 72.70/45.56 tff(8606,plain,
% 72.70/45.56 (v115(constB53)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8605, 265, 8602])).
% 72.70/45.56 tff(8607,plain,
% 72.70/45.56 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB53) | (~v115(constB53)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB53) | (~v115(constB53)))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8608,plain,
% 72.70/45.56 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB53) | (~v115(constB53)))),
% 72.70/45.56 inference(quant_inst,[status(thm)],[])).
% 72.70/45.56 tff(8609,plain,
% 72.70/45.56 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB53) | (~v115(constB53))),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8608, 8607])).
% 72.70/45.56 tff(8610,plain,
% 72.70/45.56 (v114(constB53)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8609, 276, 8606])).
% 72.70/45.56 tff(8611,plain,
% 72.70/45.56 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB53) | (~v114(constB53)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB53) | (~v114(constB53)))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8612,plain,
% 72.70/45.56 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB53) | (~v114(constB53)))),
% 72.70/45.56 inference(quant_inst,[status(thm)],[])).
% 72.70/45.56 tff(8613,plain,
% 72.70/45.56 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB53) | (~v114(constB53))),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8612, 8611])).
% 72.70/45.56 tff(8614,plain,
% 72.70/45.56 (v113(constB53)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8613, 287, 8610])).
% 72.70/45.56 tff(8615,assumption,(v26(constB53)), introduced(assumption)).
% 72.70/45.56 tff(8616,plain,
% 72.70/45.56 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB53))),
% 72.70/45.56 inference(quant_inst,[status(thm)],[])).
% 72.70/45.56 tff(8617,plain,
% 72.70/45.56 ($false),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8616, 37, 8615])).
% 72.70/45.56 tff(8618,plain,(~v26(constB53)), inference(lemma,lemma(discharge,[]))).
% 72.70/45.56 tff(8619,plain,
% 72.70/45.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | v112(constB53) | (~v113(constB53)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8620,plain,
% 72.70/45.56 ((v26(constB53) | (~v113(constB53)) | v112(constB53)) <=> (v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8621,plain,
% 72.70/45.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | v112(constB53) | (~v113(constB53))))),
% 72.70/45.56 inference(monotonicity,[status(thm)],[8620])).
% 72.70/45.56 tff(8622,plain,
% 72.70/45.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 72.70/45.56 inference(transitivity,[status(thm)],[8621, 8619])).
% 72.70/45.56 tff(8623,plain,
% 72.70/45.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))),
% 72.70/45.56 inference(quant_inst,[status(thm)],[])).
% 72.70/45.56 tff(8624,plain,
% 72.70/45.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53))),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8623, 8622])).
% 72.70/45.56 tff(8625,plain,
% 72.70/45.56 (v112(constB53) | (~v113(constB53))),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8624, 301, 8618])).
% 72.70/45.56 tff(8626,plain,
% 72.70/45.56 (v112(constB53)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8625, 8614])).
% 72.70/45.56 tff(8627,plain,
% 72.70/45.56 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB53) | (~v112(constB53)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB53) | (~v112(constB53)))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8628,plain,
% 72.70/45.56 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB53) | (~v112(constB53)))),
% 72.70/45.56 inference(quant_inst,[status(thm)],[])).
% 72.70/45.56 tff(8629,plain,
% 72.70/45.56 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB53) | (~v112(constB53))),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8628, 8627])).
% 72.70/45.56 tff(8630,plain,
% 72.70/45.56 (v108(constB53)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8629, 210, 8626])).
% 72.70/45.56 tff(8631,plain,
% 72.70/45.56 (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8632,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_53_1')).
% 72.70/45.56 tff(8633,plain,
% 72.70/45.56 (nextState(constB53, constB54)),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8632, 8631])).
% 72.70/45.56 tff(8634,plain,
% 72.70/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8635,plain,
% 72.70/45.56 (((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54)) <=> ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8636,plain,
% 72.70/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53))))),
% 72.70/45.56 inference(monotonicity,[status(thm)],[8635])).
% 72.70/45.56 tff(8637,plain,
% 72.70/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 72.70/45.56 inference(transitivity,[status(thm)],[8636, 8634])).
% 72.70/45.56 tff(8638,plain,
% 72.70/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))),
% 72.70/45.56 inference(quant_inst,[status(thm)],[])).
% 72.70/45.56 tff(8639,plain,
% 72.70/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53))),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8638, 8637])).
% 72.70/45.56 tff(8640,plain,
% 72.70/45.56 (v110(constB54) | (~v108(constB53))),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8639, 317, 8633])).
% 72.70/45.56 tff(8641,plain,
% 72.70/45.56 (v110(constB54)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8640, 8630])).
% 72.70/45.56 tff(8642,plain,
% 72.70/45.56 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8643,plain,
% 72.70/45.56 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))),
% 72.70/45.56 inference(quant_inst,[status(thm)],[])).
% 72.70/45.56 tff(8644,plain,
% 72.70/45.56 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54))),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8643, 8642])).
% 72.70/45.56 tff(8645,plain,
% 72.70/45.56 (~v104(constB54)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8644, 335, 8633, 8501])).
% 72.70/45.56 tff(8646,plain,
% 72.70/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8647,plain,
% 72.70/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))),
% 72.70/45.56 inference(quant_inst,[status(thm)],[])).
% 72.70/45.56 tff(8648,plain,
% 72.70/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v102(constB54) | v104(constB54)),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8647, 8646])).
% 72.70/45.56 tff(8649,plain,
% 72.70/45.56 (v102(constB54) | v104(constB54)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8648, 349, 8633])).
% 72.70/45.56 tff(8650,plain,
% 72.70/45.56 (v102(constB54)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8649, 8645])).
% 72.70/45.56 tff(8651,plain,
% 72.70/45.56 (v1(constB54) <=> v1(constB54)),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8652,axiom,(v1(constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_54_1')).
% 72.70/45.56 tff(8653,plain,
% 72.70/45.56 (v1(constB54)),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8652, 8651])).
% 72.70/45.56 tff(8654,plain,
% 72.70/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8655,plain,
% 72.70/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))),
% 72.70/45.56 inference(quant_inst,[status(thm)],[])).
% 72.70/45.56 tff(8656,plain,
% 72.70/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54))),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8655, 8654])).
% 72.70/45.56 tff(8657,plain,
% 72.70/45.56 (v101(constB54) | (~v102(constB54))),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8656, 367, 8633, 8653])).
% 72.70/45.56 tff(8658,plain,
% 72.70/45.56 (v101(constB54)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8657, 8650])).
% 72.70/45.56 tff(8659,plain,
% 72.70/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8660,plain,
% 72.70/45.56 (((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54)) <=> ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8661,plain,
% 72.70/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54))))),
% 72.70/45.56 inference(monotonicity,[status(thm)],[8660])).
% 72.70/45.56 tff(8662,plain,
% 72.70/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 72.70/45.56 inference(transitivity,[status(thm)],[8661, 8659])).
% 72.70/45.56 tff(8663,plain,
% 72.70/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))),
% 72.70/45.56 inference(quant_inst,[status(thm)],[])).
% 72.70/45.56 tff(8664,plain,
% 72.70/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54))),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8663, 8662])).
% 72.70/45.56 tff(8665,plain,
% 72.70/45.56 (v100(constB54) | (~v101(constB54)) | (~v110(constB54))),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8664, 382, 8633])).
% 72.70/45.56 tff(8666,plain,
% 72.70/45.56 (v100(constB54) | (~v110(constB54))),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8665, 8658])).
% 72.70/45.56 tff(8667,plain,
% 72.70/45.56 (v100(constB54)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8666, 8641])).
% 72.70/45.56 tff(8668,plain,
% 72.70/45.56 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB53)) | (~v130(constB53, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB53)) | (~v130(constB53, bitIndex2)))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8669,plain,
% 72.70/45.56 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB53)) | (~v130(constB53, bitIndex2)))),
% 72.70/45.56 inference(quant_inst,[status(thm)],[])).
% 72.70/45.56 tff(8670,plain,
% 72.70/45.56 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB53)) | (~v130(constB53, bitIndex2))),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8669, 8668])).
% 72.70/45.56 tff(8671,plain,
% 72.70/45.56 (~v130(constB53, bitIndex2)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8670, 1059, 8594])).
% 72.70/45.56 tff(8672,plain,
% 72.70/45.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8673,plain,
% 72.70/45.56 ((v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2))) <=> ((~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8674,plain,
% 72.70/45.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2)))),
% 72.70/45.56 inference(monotonicity,[status(thm)],[8673])).
% 72.70/45.56 tff(8675,plain,
% 72.70/45.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2))),
% 72.70/45.56 inference(transitivity,[status(thm)],[8674, 8672])).
% 72.70/45.56 tff(8676,plain,
% 72.70/45.56 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB53) | v130(constB53, bitIndex2) | (~v127(constB53, bitIndex2)))),
% 72.70/45.56 inference(quant_inst,[status(thm)],[])).
% 72.70/45.56 tff(8677,plain,
% 72.70/45.56 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB53, bitIndex2)) | v26(constB53) | v130(constB53, bitIndex2)),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8676, 8675])).
% 72.70/45.56 tff(8678,plain,
% 72.70/45.56 ((~v127(constB53, bitIndex2)) | v130(constB53, bitIndex2)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8677, 470, 8618])).
% 72.70/45.56 tff(8679,plain,
% 72.70/45.56 (~v127(constB53, bitIndex2)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8678, 8671])).
% 72.70/45.56 tff(8680,plain,
% 72.70/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB53, constB54)) | v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB53, constB54)) | v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2)))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8681,plain,
% 72.70/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB53, constB54)) | v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2)))),
% 72.70/45.56 inference(quant_inst,[status(thm)],[])).
% 72.70/45.56 tff(8682,plain,
% 72.70/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB53, constB54)) | v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2))),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8681, 8680])).
% 72.70/45.56 tff(8683,plain,
% 72.70/45.56 (v127(constB53, bitIndex2) | (~v129(constB54, bitIndex2))),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8682, 488, 8633])).
% 72.70/45.56 tff(8684,plain,
% 72.70/45.56 (~v129(constB54, bitIndex2)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8683, 8679])).
% 72.70/45.56 tff(8685,plain,
% 72.70/45.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54)))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8686,plain,
% 72.70/45.56 (((~v90(constB54, bitIndex2)) | (~v100(constB54)) | v129(constB54, bitIndex2)) <=> ((~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54)))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8687,plain,
% 72.70/45.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | (~v100(constB54)) | v129(constB54, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54))))),
% 72.70/45.56 inference(monotonicity,[status(thm)],[8686])).
% 72.70/45.56 tff(8688,plain,
% 72.70/45.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | (~v100(constB54)) | v129(constB54, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54)))),
% 72.70/45.56 inference(transitivity,[status(thm)],[8687, 8685])).
% 72.70/45.56 tff(8689,plain,
% 72.70/45.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB54, bitIndex2)) | (~v100(constB54)) | v129(constB54, bitIndex2))),
% 72.70/45.56 inference(quant_inst,[status(thm)],[])).
% 72.70/45.56 tff(8690,plain,
% 72.70/45.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2) | (~v100(constB54))),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8689, 8688])).
% 72.70/45.56 tff(8691,plain,
% 72.70/45.56 ((~v90(constB54, bitIndex2)) | (~v100(constB54))),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8690, 503, 8684])).
% 72.70/45.56 tff(8692,plain,
% 72.70/45.56 (~v90(constB54, bitIndex2)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8691, 8667])).
% 72.70/45.56 tff(8693,plain,
% 72.70/45.56 ((~v1(constB55)) <=> (~v1(constB55))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8694,axiom,(~v1(constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_55_1_1')).
% 72.70/45.56 tff(8695,plain,
% 72.70/45.56 (~v1(constB55)),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8694, 8693])).
% 72.70/45.56 tff(8696,plain,
% 72.70/45.56 (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8697,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_54_1')).
% 72.70/45.56 tff(8698,plain,
% 72.70/45.56 (nextState(constB54, constB55)),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8697, 8696])).
% 72.70/45.56 tff(8699,plain,
% 72.70/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8700,plain,
% 72.70/45.56 (((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55)) <=> (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 72.70/45.56 inference(rewrite,[status(thm)],[])).
% 72.70/45.56 tff(8701,plain,
% 72.70/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55))))),
% 72.70/45.56 inference(monotonicity,[status(thm)],[8700])).
% 72.70/45.56 tff(8702,plain,
% 72.70/45.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 72.70/45.56 inference(transitivity,[status(thm)],[8701, 8699])).
% 72.70/45.56 tff(8703,plain,
% 72.70/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))),
% 72.70/45.56 inference(quant_inst,[status(thm)],[])).
% 72.70/45.56 tff(8704,plain,
% 72.70/45.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55))),
% 72.70/45.56 inference(modus_ponens,[status(thm)],[8703, 8702])).
% 72.70/45.56 tff(8705,plain,
% 72.70/45.56 (~v101(constB55)),
% 72.70/45.56 inference(unit_resolution,[status(thm)],[8704, 56, 8698, 8695])).
% 72.70/45.56 tff(8706,plain,
% 72.70/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8707,plain,
% 72.70/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))),
% 72.70/45.57 inference(quant_inst,[status(thm)],[])).
% 72.70/45.57 tff(8708,plain,
% 72.70/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55))),
% 72.70/45.57 inference(modus_ponens,[status(thm)],[8707, 8706])).
% 72.70/45.57 tff(8709,plain,
% 72.70/45.57 (v101(constB55) | (~v100(constB55))),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8708, 73, 8698])).
% 72.70/45.57 tff(8710,plain,
% 72.70/45.57 (~v100(constB55)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8709, 8705])).
% 72.70/45.57 tff(8711,plain,
% 72.70/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2)))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8712,plain,
% 72.70/45.57 (((~nextState(constB54, constB55)) | v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2))) <=> (v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2)))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8713,plain,
% 72.70/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2))))),
% 72.70/45.57 inference(monotonicity,[status(thm)],[8712])).
% 72.70/45.57 tff(8714,plain,
% 72.70/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2)))),
% 72.70/45.57 inference(transitivity,[status(thm)],[8713, 8711])).
% 72.70/45.57 tff(8715,plain,
% 72.70/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB54, constB55)) | v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2)))),
% 72.70/45.57 inference(quant_inst,[status(thm)],[])).
% 72.70/45.57 tff(8716,plain,
% 72.70/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex2))),
% 72.70/45.57 inference(modus_ponens,[status(thm)],[8715, 8714])).
% 72.70/45.57 tff(8717,plain,
% 72.70/45.57 (v90(constB54, bitIndex2) | v100(constB55) | (~v90(constB55, bitIndex2))),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8716, 88, 8698])).
% 72.70/45.57 tff(8718,plain,
% 72.70/45.57 (v90(constB54, bitIndex2) | (~v90(constB55, bitIndex2))),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8717, 8710])).
% 72.70/45.57 tff(8719,plain,
% 72.70/45.57 (~v90(constB55, bitIndex2)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8718, 8692])).
% 72.70/45.57 tff(8720,plain,
% 72.70/45.57 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB53)) | v130(constB53, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB53)) | v130(constB53, bitIndex1))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8721,plain,
% 72.70/45.57 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB53)) | v130(constB53, bitIndex1))),
% 72.70/45.57 inference(quant_inst,[status(thm)],[])).
% 72.70/45.57 tff(8722,plain,
% 72.70/45.57 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB53)) | v130(constB53, bitIndex1)),
% 72.70/45.57 inference(modus_ponens,[status(thm)],[8721, 8720])).
% 72.70/45.57 tff(8723,plain,
% 72.70/45.57 (v130(constB53, bitIndex1)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8722, 1121, 8594])).
% 72.70/45.57 tff(8724,plain,
% 72.70/45.57 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8725,plain,
% 72.70/45.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1))),
% 72.70/45.57 inference(quant_inst,[status(thm)],[])).
% 72.70/45.57 tff(8726,plain,
% 72.70/45.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1)),
% 72.70/45.57 inference(modus_ponens,[status(thm)],[8725, 8724])).
% 72.70/45.57 tff(8727,plain,
% 72.70/45.57 ((~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8726, 824, 8618])).
% 72.70/45.57 tff(8728,plain,
% 72.70/45.57 (v127(constB53, bitIndex1)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8727, 8723])).
% 72.70/45.57 tff(8729,plain,
% 72.70/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8730,plain,
% 72.70/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1))),
% 72.70/45.57 inference(quant_inst,[status(thm)],[])).
% 72.70/45.57 tff(8731,plain,
% 72.70/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1)),
% 72.70/45.57 inference(modus_ponens,[status(thm)],[8730, 8729])).
% 72.70/45.57 tff(8732,plain,
% 72.70/45.57 ((~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8731, 839, 8633])).
% 72.70/45.57 tff(8733,plain,
% 72.70/45.57 (v129(constB54, bitIndex1)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8732, 8728])).
% 72.70/45.57 tff(8734,plain,
% 72.70/45.57 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8735,plain,
% 72.70/45.57 ((v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1))) <=> (v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8736,plain,
% 72.70/45.57 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54))))),
% 72.70/45.57 inference(monotonicity,[status(thm)],[8735])).
% 72.70/45.57 tff(8737,plain,
% 72.70/45.57 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))),
% 72.70/45.57 inference(transitivity,[status(thm)],[8736, 8734])).
% 72.70/45.57 tff(8738,plain,
% 72.70/45.57 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1)))),
% 72.70/45.57 inference(quant_inst,[status(thm)],[])).
% 72.70/45.57 tff(8739,plain,
% 72.70/45.57 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54))),
% 72.70/45.57 inference(modus_ponens,[status(thm)],[8738, 8737])).
% 72.70/45.57 tff(8740,plain,
% 72.70/45.57 (v90(constB54, bitIndex1) | (~v100(constB54))),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8739, 854, 8733])).
% 72.70/45.57 tff(8741,plain,
% 72.70/45.57 (v90(constB54, bitIndex1)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8740, 8667])).
% 72.70/45.57 tff(8742,plain,
% 72.70/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8743,plain,
% 72.70/45.57 (((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1)) <=> ((~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8744,plain,
% 72.70/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1)))),
% 72.70/45.57 inference(monotonicity,[status(thm)],[8743])).
% 72.70/45.57 tff(8745,plain,
% 72.70/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))),
% 72.70/45.57 inference(transitivity,[status(thm)],[8744, 8742])).
% 72.70/45.57 tff(8746,plain,
% 72.70/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1))),
% 72.70/45.57 inference(quant_inst,[status(thm)],[])).
% 72.70/45.57 tff(8747,plain,
% 72.70/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1)),
% 72.70/45.57 inference(modus_ponens,[status(thm)],[8746, 8745])).
% 72.70/45.57 tff(8748,plain,
% 72.70/45.57 ((~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8747, 872, 8698])).
% 72.70/45.57 tff(8749,plain,
% 72.70/45.57 ((~v90(constB54, bitIndex1)) | v90(constB55, bitIndex1)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8748, 8710])).
% 72.70/45.57 tff(8750,plain,
% 72.70/45.57 (v90(constB55, bitIndex1)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8749, 8741])).
% 72.70/45.57 tff(8751,plain,
% 72.70/45.57 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB53)) | v130(constB53, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB53)) | v130(constB53, bitIndex0))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8752,plain,
% 72.70/45.57 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB53)) | v130(constB53, bitIndex0))),
% 72.70/45.57 inference(quant_inst,[status(thm)],[])).
% 72.70/45.57 tff(8753,plain,
% 72.70/45.57 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB53)) | v130(constB53, bitIndex0)),
% 72.70/45.57 inference(modus_ponens,[status(thm)],[8752, 8751])).
% 72.70/45.57 tff(8754,plain,
% 72.70/45.57 (v130(constB53, bitIndex0)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8753, 1162, 8594])).
% 72.70/45.57 tff(8755,plain,
% 72.70/45.57 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB53) | (~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB53) | (~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8756,plain,
% 72.70/45.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB53) | (~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0))),
% 72.70/45.57 inference(quant_inst,[status(thm)],[])).
% 72.70/45.57 tff(8757,plain,
% 72.70/45.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB53) | (~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0)),
% 72.70/45.57 inference(modus_ponens,[status(thm)],[8756, 8755])).
% 72.70/45.57 tff(8758,plain,
% 72.70/45.57 ((~v130(constB53, bitIndex0)) | v127(constB53, bitIndex0)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8757, 179, 8618])).
% 72.70/45.57 tff(8759,plain,
% 72.70/45.57 (v127(constB53, bitIndex0)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8758, 8754])).
% 72.70/45.57 tff(8760,plain,
% 72.70/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8761,plain,
% 72.70/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0))),
% 72.70/45.57 inference(quant_inst,[status(thm)],[])).
% 72.70/45.57 tff(8762,plain,
% 72.70/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0)),
% 72.70/45.57 inference(modus_ponens,[status(thm)],[8761, 8760])).
% 72.70/45.57 tff(8763,plain,
% 72.70/45.57 ((~v127(constB53, bitIndex0)) | v129(constB54, bitIndex0)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8762, 197, 8633])).
% 72.70/45.57 tff(8764,plain,
% 72.70/45.57 (v129(constB54, bitIndex0)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8763, 8759])).
% 72.70/45.57 tff(8765,plain,
% 72.70/45.57 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54)))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8766,plain,
% 72.70/45.57 ((v90(constB54, bitIndex0) | (~v100(constB54)) | (~v129(constB54, bitIndex0))) <=> (v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54)))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8767,plain,
% 72.70/45.57 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~v100(constB54)) | (~v129(constB54, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54))))),
% 72.70/45.57 inference(monotonicity,[status(thm)],[8766])).
% 72.70/45.57 tff(8768,plain,
% 72.70/45.57 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~v100(constB54)) | (~v129(constB54, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54)))),
% 72.70/45.57 inference(transitivity,[status(thm)],[8767, 8765])).
% 72.70/45.57 tff(8769,plain,
% 72.70/45.57 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB54, bitIndex0) | (~v100(constB54)) | (~v129(constB54, bitIndex0)))),
% 72.70/45.57 inference(quant_inst,[status(thm)],[])).
% 72.70/45.57 tff(8770,plain,
% 72.70/45.57 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0)) | (~v100(constB54))),
% 72.70/45.57 inference(modus_ponens,[status(thm)],[8769, 8768])).
% 72.70/45.57 tff(8771,plain,
% 72.70/45.57 (v90(constB54, bitIndex0) | (~v100(constB54))),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8770, 401, 8764])).
% 72.70/45.57 tff(8772,plain,
% 72.70/45.57 (v90(constB54, bitIndex0)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8771, 8667])).
% 72.70/45.57 tff(8773,plain,
% 72.70/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8774,plain,
% 72.70/45.57 (((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0)) <=> ((~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8775,plain,
% 72.70/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0)))),
% 72.70/45.57 inference(monotonicity,[status(thm)],[8774])).
% 72.70/45.57 tff(8776,plain,
% 72.70/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0))),
% 72.70/45.57 inference(transitivity,[status(thm)],[8775, 8773])).
% 72.70/45.57 tff(8777,plain,
% 72.70/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0))),
% 72.70/45.57 inference(quant_inst,[status(thm)],[])).
% 72.70/45.57 tff(8778,plain,
% 72.70/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex0)),
% 72.70/45.57 inference(modus_ponens,[status(thm)],[8777, 8776])).
% 72.70/45.57 tff(8779,plain,
% 72.70/45.57 ((~v90(constB54, bitIndex0)) | v100(constB55) | v90(constB55, bitIndex0)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8778, 437, 8698])).
% 72.70/45.57 tff(8780,plain,
% 72.70/45.57 ((~v90(constB54, bitIndex0)) | v90(constB55, bitIndex0)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8779, 8710])).
% 72.70/45.57 tff(8781,plain,
% 72.70/45.57 (v90(constB55, bitIndex0)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8780, 8772])).
% 72.70/45.57 tff(8782,plain,
% 72.70/45.57 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8783,plain,
% 72.70/45.57 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55))),
% 72.70/45.57 inference(quant_inst,[status(thm)],[])).
% 72.70/45.57 tff(8784,plain,
% 72.70/45.57 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)) | v90(constB55, bitIndex2) | v122(constB55)),
% 72.70/45.57 inference(modus_ponens,[status(thm)],[8783, 8782])).
% 72.70/45.57 tff(8785,plain,
% 72.70/45.57 (v122(constB55)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8784, 1203, 8781, 8750, 8719])).
% 72.70/45.57 tff(8786,plain,
% 72.70/45.57 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB55)) | (~v130(constB55, bitIndex1)))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8787,plain,
% 72.70/45.57 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex1)))),
% 72.70/45.57 inference(quant_inst,[status(thm)],[])).
% 72.70/45.57 tff(8788,plain,
% 72.70/45.57 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB55)) | (~v130(constB55, bitIndex1))),
% 72.70/45.57 inference(modus_ponens,[status(thm)],[8787, 8786])).
% 72.70/45.57 tff(8789,plain,
% 72.70/45.57 (~v130(constB55, bitIndex1)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8788, 1389, 8785])).
% 72.70/45.57 tff(8790,plain,
% 72.70/45.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8791,plain,
% 72.70/45.57 ((v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1))) <=> ((~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8792,plain,
% 72.70/45.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1)))),
% 72.70/45.57 inference(monotonicity,[status(thm)],[8791])).
% 72.70/45.57 tff(8793,plain,
% 72.70/45.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))),
% 72.70/45.57 inference(transitivity,[status(thm)],[8792, 8790])).
% 72.70/45.57 tff(8794,plain,
% 72.70/45.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1)))),
% 72.70/45.57 inference(quant_inst,[status(thm)],[])).
% 72.70/45.57 tff(8795,plain,
% 72.70/45.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1)),
% 72.70/45.57 inference(modus_ponens,[status(thm)],[8794, 8793])).
% 72.70/45.57 tff(8796,plain,
% 72.70/45.57 ((~v127(constB55, bitIndex1)) | v26(constB55)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8795, 555, 8789])).
% 72.70/45.57 tff(8797,plain,
% 72.70/45.57 (v26(constB55)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8796, 7986])).
% 72.70/45.57 tff(8798,plain,
% 72.70/45.57 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB55)) | (~v127(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB55)) | (~v127(constB55, bitIndex1)))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8799,plain,
% 72.70/45.57 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB55)) | (~v127(constB55, bitIndex1)))),
% 72.70/45.57 inference(quant_inst,[status(thm)],[])).
% 72.70/45.57 tff(8800,plain,
% 72.70/45.57 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB55)) | (~v127(constB55, bitIndex1))),
% 72.70/45.57 inference(modus_ponens,[status(thm)],[8799, 8798])).
% 72.70/45.57 tff(8801,plain,
% 72.70/45.57 ($false),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8800, 573, 7986, 8797])).
% 72.70/45.57 tff(8802,plain,(~v127(constB55, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.70/45.57 tff(8803,plain,
% 72.70/45.57 (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8804,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_55_1')).
% 72.70/45.57 tff(8805,plain,
% 72.70/45.57 (nextState(constB55, constB56)),
% 72.70/45.57 inference(modus_ponens,[status(thm)],[8804, 8803])).
% 72.70/45.57 tff(8806,plain,
% 72.70/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1)))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8807,plain,
% 72.70/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1)))),
% 72.70/45.57 inference(quant_inst,[status(thm)],[])).
% 72.70/45.57 tff(8808,plain,
% 72.70/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1))),
% 72.70/45.57 inference(modus_ponens,[status(thm)],[8807, 8806])).
% 72.70/45.57 tff(8809,plain,
% 72.70/45.57 (v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1))),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8808, 588, 8805])).
% 72.70/45.57 tff(8810,plain,
% 72.70/45.57 (~v129(constB56, bitIndex1)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8809, 8802])).
% 72.70/45.57 tff(8811,plain,
% 72.70/45.57 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB55) | (~v122(constB55)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB55) | (~v122(constB55)))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8812,plain,
% 72.70/45.57 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB55) | (~v122(constB55)))),
% 72.70/45.57 inference(quant_inst,[status(thm)],[])).
% 72.70/45.57 tff(8813,plain,
% 72.70/45.57 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB55) | (~v122(constB55))),
% 72.70/45.57 inference(modus_ponens,[status(thm)],[8812, 8811])).
% 72.70/45.57 tff(8814,plain,
% 72.70/45.57 (v116(constB55)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8813, 1214, 8785])).
% 72.70/45.57 tff(8815,plain,
% 72.70/45.57 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB55) | (~v116(constB55)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB55) | (~v116(constB55)))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8816,plain,
% 72.70/45.57 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB55) | (~v116(constB55)))),
% 72.70/45.57 inference(quant_inst,[status(thm)],[])).
% 72.70/45.57 tff(8817,plain,
% 72.70/45.57 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB55) | (~v116(constB55))),
% 72.70/45.57 inference(modus_ponens,[status(thm)],[8816, 8815])).
% 72.70/45.57 tff(8818,plain,
% 72.70/45.57 (v115(constB55)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8817, 265, 8814])).
% 72.70/45.57 tff(8819,plain,
% 72.70/45.57 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB55) | (~v115(constB55)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB55) | (~v115(constB55)))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8820,plain,
% 72.70/45.57 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB55) | (~v115(constB55)))),
% 72.70/45.57 inference(quant_inst,[status(thm)],[])).
% 72.70/45.57 tff(8821,plain,
% 72.70/45.57 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB55) | (~v115(constB55))),
% 72.70/45.57 inference(modus_ponens,[status(thm)],[8820, 8819])).
% 72.70/45.57 tff(8822,plain,
% 72.70/45.57 (v114(constB55)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8821, 276, 8818])).
% 72.70/45.57 tff(8823,plain,
% 72.70/45.57 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB55) | (~v114(constB55)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB55) | (~v114(constB55)))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8824,plain,
% 72.70/45.57 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB55) | (~v114(constB55)))),
% 72.70/45.57 inference(quant_inst,[status(thm)],[])).
% 72.70/45.57 tff(8825,plain,
% 72.70/45.57 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB55) | (~v114(constB55))),
% 72.70/45.57 inference(modus_ponens,[status(thm)],[8824, 8823])).
% 72.70/45.57 tff(8826,plain,
% 72.70/45.57 (v113(constB55)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8825, 287, 8822])).
% 72.70/45.57 tff(8827,assumption,(~v108(constB55)), introduced(assumption)).
% 72.70/45.57 tff(8828,plain,
% 72.70/45.57 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB55) | (~v112(constB55)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB55) | (~v112(constB55)))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8829,plain,
% 72.70/45.57 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB55) | (~v112(constB55)))),
% 72.70/45.57 inference(quant_inst,[status(thm)],[])).
% 72.70/45.57 tff(8830,plain,
% 72.70/45.57 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB55) | (~v112(constB55))),
% 72.70/45.57 inference(modus_ponens,[status(thm)],[8829, 8828])).
% 72.70/45.57 tff(8831,plain,
% 72.70/45.57 (~v112(constB55)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8830, 210, 8827])).
% 72.70/45.57 tff(8832,plain,
% 72.70/45.57 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB55) | (~v26(constB55)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB55) | (~v26(constB55)))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8833,plain,
% 72.70/45.57 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB55) | (~v26(constB55)))),
% 72.70/45.57 inference(quant_inst,[status(thm)],[])).
% 72.70/45.57 tff(8834,plain,
% 72.70/45.57 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB55) | (~v26(constB55))),
% 72.70/45.57 inference(modus_ponens,[status(thm)],[8833, 8832])).
% 72.70/45.57 tff(8835,plain,
% 72.70/45.57 (~v26(constB55)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8834, 221, 8827])).
% 72.70/45.57 tff(8836,assumption,(v113(constB55)), introduced(assumption)).
% 72.70/45.57 tff(8837,plain,
% 72.70/45.57 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | v112(constB55) | (~v113(constB55)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | v112(constB55) | (~v113(constB55)))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8838,plain,
% 72.70/45.57 ((v26(constB55) | (~v113(constB55)) | v112(constB55)) <=> (v26(constB55) | v112(constB55) | (~v113(constB55)))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8839,plain,
% 72.70/45.57 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | v112(constB55) | (~v113(constB55))))),
% 72.70/45.57 inference(monotonicity,[status(thm)],[8838])).
% 72.70/45.57 tff(8840,plain,
% 72.70/45.57 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | v112(constB55) | (~v113(constB55)))),
% 72.70/45.57 inference(transitivity,[status(thm)],[8839, 8837])).
% 72.70/45.57 tff(8841,plain,
% 72.70/45.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))),
% 72.70/45.57 inference(quant_inst,[status(thm)],[])).
% 72.70/45.57 tff(8842,plain,
% 72.70/45.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | v112(constB55) | (~v113(constB55))),
% 72.70/45.57 inference(modus_ponens,[status(thm)],[8841, 8840])).
% 72.70/45.57 tff(8843,plain,
% 72.70/45.57 (v26(constB55) | v112(constB55)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8842, 301, 8836])).
% 72.70/45.57 tff(8844,plain,
% 72.70/45.57 ($false),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8843, 8835, 8831])).
% 72.70/45.57 tff(8845,plain,(v108(constB55) | (~v113(constB55))), inference(lemma,lemma(discharge,[]))).
% 72.70/45.57 tff(8846,plain,
% 72.70/45.57 (v108(constB55)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8845, 8826])).
% 72.70/45.57 tff(8847,plain,
% 72.70/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8848,plain,
% 72.70/45.57 (((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56)) <=> ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 72.70/45.57 inference(rewrite,[status(thm)],[])).
% 72.70/45.57 tff(8849,plain,
% 72.70/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55))))),
% 72.70/45.57 inference(monotonicity,[status(thm)],[8848])).
% 72.70/45.57 tff(8850,plain,
% 72.70/45.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 72.70/45.57 inference(transitivity,[status(thm)],[8849, 8847])).
% 72.70/45.57 tff(8851,plain,
% 72.70/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))),
% 72.70/45.57 inference(quant_inst,[status(thm)],[])).
% 72.70/45.57 tff(8852,plain,
% 72.70/45.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55))),
% 72.70/45.57 inference(modus_ponens,[status(thm)],[8851, 8850])).
% 72.70/45.57 tff(8853,plain,
% 72.70/45.57 (v110(constB56) | (~v108(constB55))),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8852, 317, 8805])).
% 72.70/45.57 tff(8854,plain,
% 72.70/45.57 (v110(constB56)),
% 72.70/45.57 inference(unit_resolution,[status(thm)],[8853, 8846])).
% 72.70/45.57 tff(8855,plain,
% 72.70/45.57 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))),
% 72.70/45.58 inference(rewrite,[status(thm)],[])).
% 72.70/45.58 tff(8856,plain,
% 72.70/45.58 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))),
% 72.70/45.58 inference(quant_inst,[status(thm)],[])).
% 72.70/45.58 tff(8857,plain,
% 72.70/45.58 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56))),
% 72.70/45.58 inference(modus_ponens,[status(thm)],[8856, 8855])).
% 72.70/45.58 tff(8858,plain,
% 72.70/45.58 (~v104(constB56)),
% 72.70/45.58 inference(unit_resolution,[status(thm)],[8857, 335, 8805, 8695])).
% 72.70/45.58 tff(8859,plain,
% 72.70/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))),
% 72.70/45.58 inference(rewrite,[status(thm)],[])).
% 72.70/45.58 tff(8860,plain,
% 72.70/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))),
% 72.70/45.58 inference(quant_inst,[status(thm)],[])).
% 72.70/45.58 tff(8861,plain,
% 72.70/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v102(constB56) | v104(constB56)),
% 72.70/45.58 inference(modus_ponens,[status(thm)],[8860, 8859])).
% 72.70/45.58 tff(8862,plain,
% 72.70/45.58 (v102(constB56) | v104(constB56)),
% 72.70/45.58 inference(unit_resolution,[status(thm)],[8861, 349, 8805])).
% 72.70/45.58 tff(8863,plain,
% 72.70/45.58 (v102(constB56)),
% 72.70/45.58 inference(unit_resolution,[status(thm)],[8862, 8858])).
% 72.70/45.58 tff(8864,plain,
% 72.70/45.58 (v1(constB56) <=> v1(constB56)),
% 72.70/45.58 inference(rewrite,[status(thm)],[])).
% 72.70/45.58 tff(8865,axiom,(v1(constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_56_1')).
% 72.70/45.58 tff(8866,plain,
% 72.70/45.58 (v1(constB56)),
% 72.70/45.58 inference(modus_ponens,[status(thm)],[8865, 8864])).
% 72.70/45.58 tff(8867,plain,
% 72.70/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))),
% 72.70/45.58 inference(rewrite,[status(thm)],[])).
% 72.70/45.58 tff(8868,plain,
% 72.70/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))),
% 72.70/45.58 inference(quant_inst,[status(thm)],[])).
% 72.70/45.58 tff(8869,plain,
% 72.70/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56))),
% 72.70/45.58 inference(modus_ponens,[status(thm)],[8868, 8867])).
% 72.70/45.58 tff(8870,plain,
% 72.70/45.58 (v101(constB56) | (~v102(constB56))),
% 72.70/45.58 inference(unit_resolution,[status(thm)],[8869, 367, 8805, 8866])).
% 72.70/45.58 tff(8871,plain,
% 72.70/45.58 (v101(constB56)),
% 72.70/45.58 inference(unit_resolution,[status(thm)],[8870, 8863])).
% 72.70/45.58 tff(8872,plain,
% 72.70/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 72.70/45.58 inference(rewrite,[status(thm)],[])).
% 72.70/45.58 tff(8873,plain,
% 72.70/45.58 (((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56)) <=> ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 72.75/45.58 inference(rewrite,[status(thm)],[])).
% 72.75/45.58 tff(8874,plain,
% 72.75/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56))))),
% 72.75/45.58 inference(monotonicity,[status(thm)],[8873])).
% 72.75/45.58 tff(8875,plain,
% 72.75/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 72.75/45.58 inference(transitivity,[status(thm)],[8874, 8872])).
% 72.75/45.58 tff(8876,plain,
% 72.75/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))),
% 72.75/45.58 inference(quant_inst,[status(thm)],[])).
% 72.75/45.58 tff(8877,plain,
% 72.75/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56))),
% 72.75/45.58 inference(modus_ponens,[status(thm)],[8876, 8875])).
% 72.75/45.58 tff(8878,plain,
% 72.75/45.58 (v100(constB56) | (~v101(constB56)) | (~v110(constB56))),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8877, 382, 8805])).
% 72.75/45.58 tff(8879,plain,
% 72.75/45.58 (v100(constB56) | (~v110(constB56))),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8878, 8871])).
% 72.75/45.58 tff(8880,plain,
% 72.75/45.58 (v100(constB56)),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8879, 8854])).
% 72.75/45.58 tff(8881,plain,
% 72.75/45.58 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))),
% 72.75/45.58 inference(rewrite,[status(thm)],[])).
% 72.75/45.58 tff(8882,plain,
% 72.75/45.58 (((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1)) <=> ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))),
% 72.75/45.58 inference(rewrite,[status(thm)],[])).
% 72.75/45.58 tff(8883,plain,
% 72.75/45.58 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56))))),
% 72.75/45.58 inference(monotonicity,[status(thm)],[8882])).
% 72.75/45.58 tff(8884,plain,
% 72.75/45.58 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))),
% 72.75/45.58 inference(transitivity,[status(thm)],[8883, 8881])).
% 72.75/45.58 tff(8885,plain,
% 72.75/45.58 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1))),
% 72.75/45.58 inference(quant_inst,[status(thm)],[])).
% 72.75/45.58 tff(8886,plain,
% 72.75/45.58 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56))),
% 72.75/45.58 inference(modus_ponens,[status(thm)],[8885, 8884])).
% 72.75/45.58 tff(8887,plain,
% 72.75/45.58 ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1)),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8886, 603, 8880])).
% 72.75/45.58 tff(8888,plain,
% 72.75/45.58 (~v90(constB56, bitIndex1)),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8887, 8810])).
% 72.75/45.58 tff(8889,plain,
% 72.75/45.58 ((~v1(constB57)) <=> (~v1(constB57))),
% 72.75/45.58 inference(rewrite,[status(thm)],[])).
% 72.75/45.58 tff(8890,axiom,(~v1(constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_57_1_1')).
% 72.75/45.58 tff(8891,plain,
% 72.75/45.58 (~v1(constB57)),
% 72.75/45.58 inference(modus_ponens,[status(thm)],[8890, 8889])).
% 72.75/45.58 tff(8892,plain,
% 72.75/45.58 (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 72.75/45.58 inference(rewrite,[status(thm)],[])).
% 72.75/45.58 tff(8893,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_56_1')).
% 72.75/45.58 tff(8894,plain,
% 72.75/45.58 (nextState(constB56, constB57)),
% 72.75/45.58 inference(modus_ponens,[status(thm)],[8893, 8892])).
% 72.75/45.58 tff(8895,plain,
% 72.75/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 72.75/45.58 inference(rewrite,[status(thm)],[])).
% 72.75/45.58 tff(8896,plain,
% 72.75/45.58 (((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57)) <=> (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 72.75/45.58 inference(rewrite,[status(thm)],[])).
% 72.75/45.58 tff(8897,plain,
% 72.75/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57))))),
% 72.75/45.58 inference(monotonicity,[status(thm)],[8896])).
% 72.75/45.58 tff(8898,plain,
% 72.75/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 72.75/45.58 inference(transitivity,[status(thm)],[8897, 8895])).
% 72.75/45.58 tff(8899,plain,
% 72.75/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))),
% 72.75/45.58 inference(quant_inst,[status(thm)],[])).
% 72.75/45.58 tff(8900,plain,
% 72.75/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57))),
% 72.75/45.58 inference(modus_ponens,[status(thm)],[8899, 8898])).
% 72.75/45.58 tff(8901,plain,
% 72.75/45.58 (~v101(constB57)),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8900, 56, 8894, 8891])).
% 72.75/45.58 tff(8902,plain,
% 72.75/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))),
% 72.75/45.58 inference(rewrite,[status(thm)],[])).
% 72.75/45.58 tff(8903,plain,
% 72.75/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))),
% 72.75/45.58 inference(quant_inst,[status(thm)],[])).
% 72.75/45.58 tff(8904,plain,
% 72.75/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57))),
% 72.75/45.58 inference(modus_ponens,[status(thm)],[8903, 8902])).
% 72.75/45.58 tff(8905,plain,
% 72.75/45.58 (v101(constB57) | (~v100(constB57))),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8904, 73, 8894])).
% 72.75/45.58 tff(8906,plain,
% 72.75/45.58 (~v100(constB57)),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8905, 8901])).
% 72.75/45.58 tff(8907,plain,
% 72.75/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 72.75/45.58 inference(rewrite,[status(thm)],[])).
% 72.75/45.58 tff(8908,plain,
% 72.75/45.58 (((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1))) <=> (v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 72.75/45.58 inference(rewrite,[status(thm)],[])).
% 72.75/45.58 tff(8909,plain,
% 72.75/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1))))),
% 72.75/45.58 inference(monotonicity,[status(thm)],[8908])).
% 72.75/45.58 tff(8910,plain,
% 72.75/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 72.75/45.58 inference(transitivity,[status(thm)],[8909, 8907])).
% 72.75/45.58 tff(8911,plain,
% 72.75/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 72.75/45.58 inference(quant_inst,[status(thm)],[])).
% 72.75/45.58 tff(8912,plain,
% 72.75/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1))),
% 72.75/45.58 inference(modus_ponens,[status(thm)],[8911, 8910])).
% 72.75/45.58 tff(8913,plain,
% 72.75/45.58 (v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1))),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8912, 109, 8894])).
% 72.75/45.58 tff(8914,plain,
% 72.75/45.58 (v90(constB56, bitIndex1) | (~v90(constB57, bitIndex1))),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8913, 8906])).
% 72.75/45.58 tff(8915,plain,
% 72.75/45.58 (~v90(constB57, bitIndex1)),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8914, 8888])).
% 72.75/45.58 tff(8916,plain,
% 72.75/45.58 (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 72.75/45.58 inference(rewrite,[status(thm)],[])).
% 72.75/45.58 tff(8917,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_57_1')).
% 72.75/45.58 tff(8918,plain,
% 72.75/45.58 (nextState(constB57, constB58)),
% 72.75/45.58 inference(modus_ponens,[status(thm)],[8917, 8916])).
% 72.75/45.58 tff(8919,plain,
% 72.75/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB57, bitIndex1) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB57, bitIndex1) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex1)))),
% 72.75/45.58 inference(rewrite,[status(thm)],[])).
% 72.75/45.58 tff(8920,plain,
% 72.75/45.58 (((~nextState(constB57, constB58)) | v90(constB57, bitIndex1) | v100(constB58) | (~v90(constB58, bitIndex1))) <=> (v90(constB57, bitIndex1) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex1)))),
% 72.75/45.58 inference(rewrite,[status(thm)],[])).
% 72.75/45.58 tff(8921,plain,
% 72.75/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex1) | v100(constB58) | (~v90(constB58, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB57, bitIndex1) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex1))))),
% 72.75/45.58 inference(monotonicity,[status(thm)],[8920])).
% 72.75/45.58 tff(8922,plain,
% 72.75/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex1) | v100(constB58) | (~v90(constB58, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB57, bitIndex1) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex1)))),
% 72.75/45.58 inference(transitivity,[status(thm)],[8921, 8919])).
% 72.75/45.58 tff(8923,plain,
% 72.75/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex1) | v100(constB58) | (~v90(constB58, bitIndex1)))),
% 72.75/45.58 inference(quant_inst,[status(thm)],[])).
% 72.75/45.58 tff(8924,plain,
% 72.75/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB57, bitIndex1) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex1))),
% 72.75/45.58 inference(modus_ponens,[status(thm)],[8923, 8922])).
% 72.75/45.58 tff(8925,plain,
% 72.75/45.58 (v90(constB57, bitIndex1) | v100(constB58) | (~v90(constB58, bitIndex1))),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8924, 109, 8918])).
% 72.75/45.58 tff(8926,plain,
% 72.75/45.58 (v100(constB58)),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8925, 7985, 8915])).
% 72.75/45.58 tff(8927,assumption,(v130(constB57, bitIndex1)), introduced(assumption)).
% 72.75/45.58 tff(8928,plain,
% 72.75/45.58 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB57, bitIndex1) | (~v121(constB57)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB57, bitIndex1) | (~v121(constB57)))),
% 72.75/45.58 inference(rewrite,[status(thm)],[])).
% 72.75/45.58 tff(8929,plain,
% 72.75/45.58 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB57, bitIndex1) | (~v121(constB57)))),
% 72.75/45.58 inference(quant_inst,[status(thm)],[])).
% 72.75/45.58 tff(8930,plain,
% 72.75/45.58 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB57, bitIndex1) | (~v121(constB57))),
% 72.75/45.58 inference(modus_ponens,[status(thm)],[8929, 8928])).
% 72.75/45.58 tff(8931,plain,
% 72.75/45.58 (~v121(constB57)),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8930, 3190, 8915])).
% 72.75/45.58 tff(8932,plain,
% 72.75/45.58 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB57)) | (~v130(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB57)) | (~v130(constB57, bitIndex1)))),
% 72.75/45.58 inference(rewrite,[status(thm)],[])).
% 72.75/45.58 tff(8933,plain,
% 72.75/45.58 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB57)) | (~v130(constB57, bitIndex1)))),
% 72.75/45.58 inference(quant_inst,[status(thm)],[])).
% 72.75/45.58 tff(8934,plain,
% 72.75/45.58 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB57)) | (~v130(constB57, bitIndex1))),
% 72.75/45.58 inference(modus_ponens,[status(thm)],[8933, 8932])).
% 72.75/45.58 tff(8935,plain,
% 72.75/45.58 (~v123(constB57)),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8934, 1622, 8927])).
% 72.75/45.58 tff(8936,plain,
% 72.75/45.58 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB57)) | (~v130(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB57)) | (~v130(constB57, bitIndex1)))),
% 72.75/45.58 inference(rewrite,[status(thm)],[])).
% 72.75/45.58 tff(8937,plain,
% 72.75/45.58 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB57)) | (~v130(constB57, bitIndex1)))),
% 72.75/45.58 inference(quant_inst,[status(thm)],[])).
% 72.75/45.58 tff(8938,plain,
% 72.75/45.58 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB57)) | (~v130(constB57, bitIndex1))),
% 72.75/45.58 inference(modus_ponens,[status(thm)],[8937, 8936])).
% 72.75/45.58 tff(8939,plain,
% 72.75/45.58 (~v119(constB57)),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8938, 541, 8927])).
% 72.75/45.58 tff(8940,assumption,(v127(constB55, bitIndex0)), introduced(assumption)).
% 72.75/45.58 tff(8941,plain,
% 72.75/45.58 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB55)) | (~v130(constB55, bitIndex0)))),
% 72.75/45.58 inference(rewrite,[status(thm)],[])).
% 72.75/45.58 tff(8942,plain,
% 72.75/45.58 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB55)) | (~v130(constB55, bitIndex0)))),
% 72.75/45.58 inference(quant_inst,[status(thm)],[])).
% 72.75/45.58 tff(8943,plain,
% 72.75/45.58 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB55)) | (~v130(constB55, bitIndex0))),
% 72.75/45.58 inference(modus_ponens,[status(thm)],[8942, 8941])).
% 72.75/45.58 tff(8944,plain,
% 72.75/45.58 (~v130(constB55, bitIndex0)),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8943, 1433, 8785])).
% 72.75/45.58 tff(8945,plain,
% 72.75/45.58 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))),
% 72.75/45.58 inference(rewrite,[status(thm)],[])).
% 72.75/45.58 tff(8946,plain,
% 72.75/45.58 ((v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0))) <=> ((~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))),
% 72.75/45.58 inference(rewrite,[status(thm)],[])).
% 72.75/45.58 tff(8947,plain,
% 72.75/45.58 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0)))),
% 72.75/45.58 inference(monotonicity,[status(thm)],[8946])).
% 72.75/45.58 tff(8948,plain,
% 72.75/45.58 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0))),
% 72.75/45.58 inference(transitivity,[status(thm)],[8947, 8945])).
% 72.75/45.58 tff(8949,plain,
% 72.75/45.58 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB55) | v130(constB55, bitIndex0) | (~v127(constB55, bitIndex0)))),
% 72.75/45.58 inference(quant_inst,[status(thm)],[])).
% 72.75/45.58 tff(8950,plain,
% 72.75/45.58 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB55, bitIndex0)) | v26(constB55) | v130(constB55, bitIndex0)),
% 72.75/45.58 inference(modus_ponens,[status(thm)],[8949, 8948])).
% 72.75/45.58 tff(8951,plain,
% 72.75/45.58 ((~v127(constB55, bitIndex0)) | v26(constB55)),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8950, 905, 8944])).
% 72.75/45.58 tff(8952,plain,
% 72.75/45.58 (v26(constB55)),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8951, 8940])).
% 72.75/45.58 tff(8953,plain,
% 72.75/45.58 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB55)) | (~v127(constB55, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB55)) | (~v127(constB55, bitIndex0)))),
% 72.75/45.58 inference(rewrite,[status(thm)],[])).
% 72.75/45.58 tff(8954,plain,
% 72.75/45.58 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB55)) | (~v127(constB55, bitIndex0)))),
% 72.75/45.58 inference(quant_inst,[status(thm)],[])).
% 72.75/45.58 tff(8955,plain,
% 72.75/45.58 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB55)) | (~v127(constB55, bitIndex0))),
% 72.75/45.58 inference(modus_ponens,[status(thm)],[8954, 8953])).
% 72.75/45.58 tff(8956,plain,
% 72.75/45.58 ($false),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8955, 3417, 8940, 8952])).
% 72.75/45.58 tff(8957,plain,(~v127(constB55, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.75/45.58 tff(8958,plain,
% 72.75/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0)))),
% 72.75/45.58 inference(rewrite,[status(thm)],[])).
% 72.75/45.58 tff(8959,plain,
% 72.75/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0)))),
% 72.75/45.58 inference(quant_inst,[status(thm)],[])).
% 72.75/45.58 tff(8960,plain,
% 72.75/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0))),
% 72.75/45.58 inference(modus_ponens,[status(thm)],[8959, 8958])).
% 72.75/45.58 tff(8961,plain,
% 72.75/45.58 (v127(constB55, bitIndex0) | (~v129(constB56, bitIndex0))),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8960, 923, 8805])).
% 72.75/45.58 tff(8962,plain,
% 72.75/45.58 (~v129(constB56, bitIndex0)),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8961, 8957])).
% 72.75/45.58 tff(8963,plain,
% 72.75/45.58 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56)))),
% 72.75/45.58 inference(rewrite,[status(thm)],[])).
% 72.75/45.58 tff(8964,plain,
% 72.75/45.58 (((~v90(constB56, bitIndex0)) | (~v100(constB56)) | v129(constB56, bitIndex0)) <=> ((~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56)))),
% 72.75/45.58 inference(rewrite,[status(thm)],[])).
% 72.75/45.58 tff(8965,plain,
% 72.75/45.58 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | (~v100(constB56)) | v129(constB56, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56))))),
% 72.75/45.58 inference(monotonicity,[status(thm)],[8964])).
% 72.75/45.58 tff(8966,plain,
% 72.75/45.58 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | (~v100(constB56)) | v129(constB56, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56)))),
% 72.75/45.58 inference(transitivity,[status(thm)],[8965, 8963])).
% 72.75/45.58 tff(8967,plain,
% 72.75/45.58 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB56, bitIndex0)) | (~v100(constB56)) | v129(constB56, bitIndex0))),
% 72.75/45.58 inference(quant_inst,[status(thm)],[])).
% 72.75/45.58 tff(8968,plain,
% 72.75/45.58 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0) | (~v100(constB56))),
% 72.75/45.58 inference(modus_ponens,[status(thm)],[8967, 8966])).
% 72.75/45.58 tff(8969,plain,
% 72.75/45.58 ((~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0)),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8968, 938, 8880])).
% 72.75/45.58 tff(8970,plain,
% 72.75/45.58 (~v90(constB56, bitIndex0)),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8969, 8962])).
% 72.75/45.58 tff(8971,plain,
% 72.75/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0)))),
% 72.75/45.58 inference(rewrite,[status(thm)],[])).
% 72.75/45.58 tff(8972,plain,
% 72.75/45.58 (((~nextState(constB56, constB57)) | v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0))) <=> (v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0)))),
% 72.75/45.58 inference(rewrite,[status(thm)],[])).
% 72.75/45.58 tff(8973,plain,
% 72.75/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0))))),
% 72.75/45.58 inference(monotonicity,[status(thm)],[8972])).
% 72.75/45.58 tff(8974,plain,
% 72.75/45.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0)))),
% 72.75/45.58 inference(transitivity,[status(thm)],[8973, 8971])).
% 72.75/45.58 tff(8975,plain,
% 72.75/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB56, constB57)) | v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0)))),
% 72.75/45.58 inference(quant_inst,[status(thm)],[])).
% 72.75/45.58 tff(8976,plain,
% 72.75/45.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex0))),
% 72.75/45.58 inference(modus_ponens,[status(thm)],[8975, 8974])).
% 72.75/45.58 tff(8977,plain,
% 72.75/45.58 (v90(constB56, bitIndex0) | v100(constB57) | (~v90(constB57, bitIndex0))),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8976, 130, 8894])).
% 72.75/45.58 tff(8978,plain,
% 72.75/45.58 (v90(constB56, bitIndex0) | (~v90(constB57, bitIndex0))),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8977, 8906])).
% 72.75/45.58 tff(8979,plain,
% 72.75/45.58 (~v90(constB57, bitIndex0)),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8978, 8970])).
% 72.75/45.58 tff(8980,plain,
% 72.75/45.58 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB57, bitIndex0) | (~v120(constB57)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB57, bitIndex0) | (~v120(constB57)))),
% 72.75/45.58 inference(rewrite,[status(thm)],[])).
% 72.75/45.58 tff(8981,plain,
% 72.75/45.58 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB57, bitIndex0) | (~v120(constB57)))),
% 72.75/45.58 inference(quant_inst,[status(thm)],[])).
% 72.75/45.58 tff(8982,plain,
% 72.75/45.58 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB57, bitIndex0) | (~v120(constB57))),
% 72.75/45.58 inference(modus_ponens,[status(thm)],[8981, 8980])).
% 72.75/45.58 tff(8983,plain,
% 72.75/45.58 (~v120(constB57)),
% 72.75/45.58 inference(unit_resolution,[status(thm)],[8982, 3723, 8979])).
% 72.75/45.58 tff(8984,plain,
% 72.75/45.58 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB57, bitIndex0) | (~v122(constB57)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB57, bitIndex0) | (~v122(constB57)))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(8985,plain,
% 72.75/45.59 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB57, bitIndex0) | (~v122(constB57)))),
% 72.75/45.59 inference(quant_inst,[status(thm)],[])).
% 72.75/45.59 tff(8986,plain,
% 72.75/45.59 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB57, bitIndex0) | (~v122(constB57))),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[8985, 8984])).
% 72.75/45.59 tff(8987,plain,
% 72.75/45.59 (~v122(constB57)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[8986, 3734, 8979])).
% 72.75/45.59 tff(8988,plain,
% 72.75/45.59 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB57, bitIndex0) | (~v124(constB57)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB57, bitIndex0) | (~v124(constB57)))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(8989,plain,
% 72.75/45.59 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB57, bitIndex0) | (~v124(constB57)))),
% 72.75/45.59 inference(quant_inst,[status(thm)],[])).
% 72.75/45.59 tff(8990,plain,
% 72.75/45.59 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB57, bitIndex0) | (~v124(constB57))),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[8989, 8988])).
% 72.75/45.59 tff(8991,plain,
% 72.75/45.59 (~v124(constB57)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[8990, 3745, 8979])).
% 72.75/45.59 tff(8992,plain,
% 72.75/45.59 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB57) | v123(constB57) | v122(constB57) | v121(constB57) | v120(constB57) | v119(constB57) | (~v130(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB57) | v123(constB57) | v122(constB57) | v121(constB57) | v120(constB57) | v119(constB57) | (~v130(constB57, bitIndex1)))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(8993,plain,
% 72.75/45.59 ((v120(constB57) | v119(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | (~v130(constB57, bitIndex1))) <=> (v124(constB57) | v123(constB57) | v122(constB57) | v121(constB57) | v120(constB57) | v119(constB57) | (~v130(constB57, bitIndex1)))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(8994,plain,
% 72.75/45.59 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB57) | v119(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | (~v130(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB57) | v123(constB57) | v122(constB57) | v121(constB57) | v120(constB57) | v119(constB57) | (~v130(constB57, bitIndex1))))),
% 72.75/45.59 inference(monotonicity,[status(thm)],[8993])).
% 72.75/45.59 tff(8995,plain,
% 72.75/45.59 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB57) | v119(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | (~v130(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB57) | v123(constB57) | v122(constB57) | v121(constB57) | v120(constB57) | v119(constB57) | (~v130(constB57, bitIndex1)))),
% 72.75/45.59 inference(transitivity,[status(thm)],[8994, 8992])).
% 72.75/45.59 tff(8996,plain,
% 72.75/45.59 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB57) | v119(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | (~v130(constB57, bitIndex1)))),
% 72.75/45.59 inference(quant_inst,[status(thm)],[])).
% 72.75/45.59 tff(8997,plain,
% 72.75/45.59 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB57) | v123(constB57) | v122(constB57) | v121(constB57) | v120(constB57) | v119(constB57) | (~v130(constB57, bitIndex1))),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[8996, 8995])).
% 72.75/45.59 tff(8998,plain,
% 72.75/45.59 (v123(constB57) | v121(constB57) | v119(constB57) | (~v130(constB57, bitIndex1))),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[8997, 2146, 8991, 8987, 8983])).
% 72.75/45.59 tff(8999,plain,
% 72.75/45.59 ($false),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[8998, 8939, 8935, 8931, 8927])).
% 72.75/45.59 tff(9000,plain,(~v130(constB57, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.75/45.59 tff(9001,assumption,(v26(constB57)), introduced(assumption)).
% 72.75/45.59 tff(9002,plain,
% 72.75/45.59 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB57))),
% 72.75/45.59 inference(quant_inst,[status(thm)],[])).
% 72.75/45.59 tff(9003,plain,
% 72.75/45.59 ($false),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9002, 37, 9001])).
% 72.75/45.59 tff(9004,plain,(~v26(constB57)), inference(lemma,lemma(discharge,[]))).
% 72.75/45.59 tff(9005,plain,
% 72.75/45.59 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9006,plain,
% 72.75/45.59 ((v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1))) <=> ((~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9007,plain,
% 72.75/45.59 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1)))),
% 72.75/45.59 inference(monotonicity,[status(thm)],[9006])).
% 72.75/45.59 tff(9008,plain,
% 72.75/45.59 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1))),
% 72.75/45.59 inference(transitivity,[status(thm)],[9007, 9005])).
% 72.75/45.59 tff(9009,plain,
% 72.75/45.59 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB57) | v130(constB57, bitIndex1) | (~v127(constB57, bitIndex1)))),
% 72.75/45.59 inference(quant_inst,[status(thm)],[])).
% 72.75/45.59 tff(9010,plain,
% 72.75/45.59 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB57, bitIndex1)) | v26(constB57) | v130(constB57, bitIndex1)),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[9009, 9008])).
% 72.75/45.59 tff(9011,plain,
% 72.75/45.59 ((~v127(constB57, bitIndex1)) | v130(constB57, bitIndex1)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9010, 555, 9004])).
% 72.75/45.59 tff(9012,plain,
% 72.75/45.59 (~v127(constB57, bitIndex1)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9011, 9000])).
% 72.75/45.59 tff(9013,plain,
% 72.75/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1)))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9014,plain,
% 72.75/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1)))),
% 72.75/45.59 inference(quant_inst,[status(thm)],[])).
% 72.75/45.59 tff(9015,plain,
% 72.75/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1))),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[9014, 9013])).
% 72.75/45.59 tff(9016,plain,
% 72.75/45.59 (v127(constB57, bitIndex1) | (~v129(constB58, bitIndex1))),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9015, 588, 8918])).
% 72.75/45.59 tff(9017,plain,
% 72.75/45.59 (~v129(constB58, bitIndex1)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9016, 9012])).
% 72.75/45.59 tff(9018,plain,
% 72.75/45.59 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58)))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9019,plain,
% 72.75/45.59 (((~v90(constB58, bitIndex1)) | (~v100(constB58)) | v129(constB58, bitIndex1)) <=> ((~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58)))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9020,plain,
% 72.75/45.59 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~v100(constB58)) | v129(constB58, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58))))),
% 72.75/45.59 inference(monotonicity,[status(thm)],[9019])).
% 72.75/45.59 tff(9021,plain,
% 72.75/45.59 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~v100(constB58)) | v129(constB58, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58)))),
% 72.75/45.59 inference(transitivity,[status(thm)],[9020, 9018])).
% 72.75/45.59 tff(9022,plain,
% 72.75/45.59 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~v100(constB58)) | v129(constB58, bitIndex1))),
% 72.75/45.59 inference(quant_inst,[status(thm)],[])).
% 72.75/45.59 tff(9023,plain,
% 72.75/45.59 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1) | (~v100(constB58))),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[9022, 9021])).
% 72.75/45.59 tff(9024,plain,
% 72.75/45.59 ((~v90(constB58, bitIndex1)) | (~v100(constB58))),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9023, 603, 9017])).
% 72.75/45.59 tff(9025,plain,
% 72.75/45.59 ($false),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9024, 8926, 7985])).
% 72.75/45.59 tff(9026,plain,(~v90(constB58, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.75/45.59 tff(9027,assumption,(~v90(constB58, bitIndex0)), introduced(assumption)).
% 72.75/45.59 tff(9028,assumption,(~v130(constB57, bitIndex0)), introduced(assumption)).
% 72.75/45.59 tff(9029,plain,
% 72.75/45.59 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB57)) | v130(constB57, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB57)) | v130(constB57, bitIndex0))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9030,plain,
% 72.75/45.59 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB57)) | v130(constB57, bitIndex0))),
% 72.75/45.59 inference(quant_inst,[status(thm)],[])).
% 72.75/45.59 tff(9031,plain,
% 72.75/45.59 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB57)) | v130(constB57, bitIndex0)),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[9030, 9029])).
% 72.75/45.59 tff(9032,plain,
% 72.75/45.59 (~v119(constB57)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9031, 165, 9028])).
% 72.75/45.59 tff(9033,plain,
% 72.75/45.59 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB57)) | v130(constB57, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB57)) | v130(constB57, bitIndex0))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9034,plain,
% 72.75/45.59 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB57)) | v130(constB57, bitIndex0))),
% 72.75/45.59 inference(quant_inst,[status(thm)],[])).
% 72.75/45.59 tff(9035,plain,
% 72.75/45.59 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB57)) | v130(constB57, bitIndex0)),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[9034, 9033])).
% 72.75/45.59 tff(9036,plain,
% 72.75/45.59 (~v123(constB57)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9035, 1666, 9028])).
% 72.75/45.59 tff(9037,plain,
% 72.75/45.59 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB57)) | v130(constB57, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB57)) | v130(constB57, bitIndex0))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9038,plain,
% 72.75/45.59 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB57)) | v130(constB57, bitIndex0))),
% 72.75/45.59 inference(quant_inst,[status(thm)],[])).
% 72.75/45.59 tff(9039,plain,
% 72.75/45.59 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB57)) | v130(constB57, bitIndex0)),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[9038, 9037])).
% 72.75/45.59 tff(9040,plain,
% 72.75/45.59 (~v121(constB57)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9039, 1162, 9028])).
% 72.75/45.59 tff(9041,assumption,(~v120(constB57)), introduced(assumption)).
% 72.75/45.59 tff(9042,assumption,(~v122(constB57)), introduced(assumption)).
% 72.75/45.59 tff(9043,assumption,(~v124(constB57)), introduced(assumption)).
% 72.75/45.59 tff(9044,plain,
% 72.75/45.59 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB57, bitIndex0) | v124(constB57) | v123(constB57) | v122(constB57) | v121(constB57) | v120(constB57) | v119(constB57))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB57, bitIndex0) | v124(constB57) | v123(constB57) | v122(constB57) | v121(constB57) | v120(constB57) | v119(constB57))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9045,plain,
% 72.75/45.59 ((v120(constB57) | v119(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | v130(constB57, bitIndex0)) <=> (v130(constB57, bitIndex0) | v124(constB57) | v123(constB57) | v122(constB57) | v121(constB57) | v120(constB57) | v119(constB57))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9046,plain,
% 72.75/45.59 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB57) | v119(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | v130(constB57, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB57, bitIndex0) | v124(constB57) | v123(constB57) | v122(constB57) | v121(constB57) | v120(constB57) | v119(constB57)))),
% 72.75/45.59 inference(monotonicity,[status(thm)],[9045])).
% 72.75/45.59 tff(9047,plain,
% 72.75/45.59 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB57) | v119(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | v130(constB57, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB57, bitIndex0) | v124(constB57) | v123(constB57) | v122(constB57) | v121(constB57) | v120(constB57) | v119(constB57))),
% 72.75/45.59 inference(transitivity,[status(thm)],[9046, 9044])).
% 72.75/45.59 tff(9048,plain,
% 72.75/45.59 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB57) | v119(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | v130(constB57, bitIndex0))),
% 72.75/45.59 inference(quant_inst,[status(thm)],[])).
% 72.75/45.59 tff(9049,plain,
% 72.75/45.59 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB57, bitIndex0) | v124(constB57) | v123(constB57) | v122(constB57) | v121(constB57) | v120(constB57) | v119(constB57)),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[9048, 9047])).
% 72.75/45.59 tff(9050,plain,
% 72.75/45.59 (v130(constB57, bitIndex0) | v123(constB57) | v121(constB57) | v119(constB57)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9049, 2192, 9043, 9042, 9041])).
% 72.75/45.59 tff(9051,plain,
% 72.75/45.59 ($false),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9050, 9040, 9036, 9028, 9032])).
% 72.75/45.59 tff(9052,plain,(v130(constB57, bitIndex0) | v124(constB57) | v122(constB57) | v120(constB57)), inference(lemma,lemma(discharge,[]))).
% 72.75/45.59 tff(9053,plain,
% 72.75/45.59 (v130(constB57, bitIndex0)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9052, 8987, 8991, 8983])).
% 72.75/45.59 tff(9054,plain,
% 72.75/45.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9055,plain,
% 72.75/45.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0))),
% 72.75/45.59 inference(quant_inst,[status(thm)],[])).
% 72.75/45.59 tff(9056,plain,
% 72.75/45.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB57) | (~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0)),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[9055, 9054])).
% 72.75/45.59 tff(9057,plain,
% 72.75/45.59 ((~v130(constB57, bitIndex0)) | v127(constB57, bitIndex0)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9056, 179, 9004])).
% 72.75/45.59 tff(9058,plain,
% 72.75/45.59 (v127(constB57, bitIndex0)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9057, 9053])).
% 72.75/45.59 tff(9059,plain,
% 72.75/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9060,plain,
% 72.75/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0))),
% 72.75/45.59 inference(quant_inst,[status(thm)],[])).
% 72.75/45.59 tff(9061,plain,
% 72.75/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0)),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[9060, 9059])).
% 72.75/45.59 tff(9062,plain,
% 72.75/45.59 ((~v127(constB57, bitIndex0)) | v129(constB58, bitIndex0)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9061, 197, 8918])).
% 72.75/45.59 tff(9063,plain,
% 72.75/45.59 (v129(constB58, bitIndex0)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9062, 9058])).
% 72.75/45.59 tff(9064,plain,
% 72.75/45.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58)))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9065,plain,
% 72.75/45.59 ((v90(constB58, bitIndex0) | (~v100(constB58)) | (~v129(constB58, bitIndex0))) <=> (v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58)))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9066,plain,
% 72.75/45.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v100(constB58)) | (~v129(constB58, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58))))),
% 72.75/45.59 inference(monotonicity,[status(thm)],[9065])).
% 72.75/45.59 tff(9067,plain,
% 72.75/45.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v100(constB58)) | (~v129(constB58, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58)))),
% 72.75/45.59 inference(transitivity,[status(thm)],[9066, 9064])).
% 72.75/45.59 tff(9068,plain,
% 72.75/45.59 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~v100(constB58)) | (~v129(constB58, bitIndex0)))),
% 72.75/45.59 inference(quant_inst,[status(thm)],[])).
% 72.75/45.59 tff(9069,plain,
% 72.75/45.59 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0)) | (~v100(constB58))),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[9068, 9067])).
% 72.75/45.59 tff(9070,plain,
% 72.75/45.59 (v90(constB58, bitIndex0) | (~v100(constB58))),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9069, 401, 9063])).
% 72.75/45.59 tff(9071,plain,
% 72.75/45.59 (~v100(constB58)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9070, 9027])).
% 72.75/45.59 tff(9072,assumption,(~v100(constB58)), introduced(assumption)).
% 72.75/45.59 tff(9073,plain,
% 72.75/45.59 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9074,plain,
% 72.75/45.59 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))),
% 72.75/45.59 inference(quant_inst,[status(thm)],[])).
% 72.75/45.59 tff(9075,plain,
% 72.75/45.59 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58))),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[9074, 9073])).
% 72.75/45.59 tff(9076,plain,
% 72.75/45.59 (~v104(constB58)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9075, 335, 8918, 8891])).
% 72.75/45.59 tff(9077,plain,
% 72.75/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9078,plain,
% 72.75/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))),
% 72.75/45.59 inference(quant_inst,[status(thm)],[])).
% 72.75/45.59 tff(9079,plain,
% 72.75/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v102(constB58) | v104(constB58)),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[9078, 9077])).
% 72.75/45.59 tff(9080,plain,
% 72.75/45.59 (v102(constB58) | v104(constB58)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9079, 349, 8918])).
% 72.75/45.59 tff(9081,plain,
% 72.75/45.59 (v102(constB58)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9080, 9076])).
% 72.75/45.59 tff(9082,plain,
% 72.75/45.59 (v1(constB58) <=> v1(constB58)),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9083,axiom,(v1(constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_58_1')).
% 72.75/45.59 tff(9084,plain,
% 72.75/45.59 (v1(constB58)),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[9083, 9082])).
% 72.75/45.59 tff(9085,plain,
% 72.75/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9086,plain,
% 72.75/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))),
% 72.75/45.59 inference(quant_inst,[status(thm)],[])).
% 72.75/45.59 tff(9087,plain,
% 72.75/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58))),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[9086, 9085])).
% 72.75/45.59 tff(9088,plain,
% 72.75/45.59 (v101(constB58) | (~v102(constB58))),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9087, 367, 8918, 9084])).
% 72.75/45.59 tff(9089,plain,
% 72.75/45.59 (v101(constB58)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9088, 9081])).
% 72.75/45.59 tff(9090,plain,
% 72.75/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9091,plain,
% 72.75/45.59 (((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58)) <=> ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9092,plain,
% 72.75/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58))))),
% 72.75/45.59 inference(monotonicity,[status(thm)],[9091])).
% 72.75/45.59 tff(9093,plain,
% 72.75/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 72.75/45.59 inference(transitivity,[status(thm)],[9092, 9090])).
% 72.75/45.59 tff(9094,plain,
% 72.75/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))),
% 72.75/45.59 inference(quant_inst,[status(thm)],[])).
% 72.75/45.59 tff(9095,plain,
% 72.75/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58))),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[9094, 9093])).
% 72.75/45.59 tff(9096,plain,
% 72.75/45.59 (v100(constB58) | (~v101(constB58)) | (~v110(constB58))),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9095, 382, 8918])).
% 72.75/45.59 tff(9097,plain,
% 72.75/45.59 (v100(constB58) | (~v110(constB58))),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9096, 9089])).
% 72.75/45.59 tff(9098,plain,
% 72.75/45.59 (~v110(constB58)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9097, 9072])).
% 72.75/45.59 tff(9099,plain,
% 72.75/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9100,plain,
% 72.75/45.59 (((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58)) <=> ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9101,plain,
% 72.75/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57))))),
% 72.75/45.59 inference(monotonicity,[status(thm)],[9100])).
% 72.75/45.59 tff(9102,plain,
% 72.75/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 72.75/45.59 inference(transitivity,[status(thm)],[9101, 9099])).
% 72.75/45.59 tff(9103,plain,
% 72.75/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))),
% 72.75/45.59 inference(quant_inst,[status(thm)],[])).
% 72.75/45.59 tff(9104,plain,
% 72.75/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57))),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[9103, 9102])).
% 72.75/45.59 tff(9105,plain,
% 72.75/45.59 (v110(constB58) | (~v108(constB57))),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9104, 317, 8918])).
% 72.75/45.59 tff(9106,plain,
% 72.75/45.59 (~v108(constB57)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9105, 9098])).
% 72.75/45.59 tff(9107,plain,
% 72.75/45.59 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB57) | (~v112(constB57)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB57) | (~v112(constB57)))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9108,plain,
% 72.75/45.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB57) | (~v112(constB57)))),
% 72.75/45.59 inference(quant_inst,[status(thm)],[])).
% 72.75/45.59 tff(9109,plain,
% 72.75/45.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB57) | (~v112(constB57))),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[9108, 9107])).
% 72.75/45.59 tff(9110,plain,
% 72.75/45.59 (~v112(constB57)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9109, 210, 9106])).
% 72.75/45.59 tff(9111,plain,
% 72.75/45.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | v112(constB57) | (~v113(constB57)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | v112(constB57) | (~v113(constB57)))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9112,plain,
% 72.75/45.59 ((v26(constB57) | (~v113(constB57)) | v112(constB57)) <=> (v26(constB57) | v112(constB57) | (~v113(constB57)))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9113,plain,
% 72.75/45.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | v112(constB57) | (~v113(constB57))))),
% 72.75/45.59 inference(monotonicity,[status(thm)],[9112])).
% 72.75/45.59 tff(9114,plain,
% 72.75/45.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | v112(constB57) | (~v113(constB57)))),
% 72.75/45.59 inference(transitivity,[status(thm)],[9113, 9111])).
% 72.75/45.59 tff(9115,plain,
% 72.75/45.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))),
% 72.75/45.59 inference(quant_inst,[status(thm)],[])).
% 72.75/45.59 tff(9116,plain,
% 72.75/45.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | v112(constB57) | (~v113(constB57))),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[9115, 9114])).
% 72.75/45.59 tff(9117,plain,
% 72.75/45.59 (v112(constB57) | (~v113(constB57))),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9116, 301, 9004])).
% 72.75/45.59 tff(9118,plain,
% 72.75/45.59 (~v113(constB57)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9117, 9110])).
% 72.75/45.59 tff(9119,plain,
% 72.75/45.59 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB57) | (~v114(constB57)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB57) | (~v114(constB57)))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9120,plain,
% 72.75/45.59 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB57) | (~v114(constB57)))),
% 72.75/45.59 inference(quant_inst,[status(thm)],[])).
% 72.75/45.59 tff(9121,plain,
% 72.75/45.59 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB57) | (~v114(constB57))),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[9120, 9119])).
% 72.75/45.59 tff(9122,plain,
% 72.75/45.59 (~v114(constB57)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9121, 287, 9118])).
% 72.75/45.59 tff(9123,assumption,(~v90(constB58, bitIndex1)), introduced(assumption)).
% 72.75/45.59 tff(9124,plain,
% 72.75/45.59 ((~v1(constB59)) <=> (~v1(constB59))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9125,axiom,(~v1(constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_59_1_1')).
% 72.75/45.59 tff(9126,plain,
% 72.75/45.59 (~v1(constB59)),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[9125, 9124])).
% 72.75/45.59 tff(9127,plain,
% 72.75/45.59 (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9128,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_58_1')).
% 72.75/45.59 tff(9129,plain,
% 72.75/45.59 (nextState(constB58, constB59)),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[9128, 9127])).
% 72.75/45.59 tff(9130,plain,
% 72.75/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9131,plain,
% 72.75/45.59 (((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59)) <=> (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9132,plain,
% 72.75/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59))))),
% 72.75/45.59 inference(monotonicity,[status(thm)],[9131])).
% 72.75/45.59 tff(9133,plain,
% 72.75/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 72.75/45.59 inference(transitivity,[status(thm)],[9132, 9130])).
% 72.75/45.59 tff(9134,plain,
% 72.75/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))),
% 72.75/45.59 inference(quant_inst,[status(thm)],[])).
% 72.75/45.59 tff(9135,plain,
% 72.75/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59))),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[9134, 9133])).
% 72.75/45.59 tff(9136,plain,
% 72.75/45.59 (~v101(constB59)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9135, 56, 9129, 9126])).
% 72.75/45.59 tff(9137,plain,
% 72.75/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9138,plain,
% 72.75/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))),
% 72.75/45.59 inference(quant_inst,[status(thm)],[])).
% 72.75/45.59 tff(9139,plain,
% 72.75/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59))),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[9138, 9137])).
% 72.75/45.59 tff(9140,plain,
% 72.75/45.59 (v101(constB59) | (~v100(constB59))),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9139, 73, 9129])).
% 72.75/45.59 tff(9141,plain,
% 72.75/45.59 (~v100(constB59)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9140, 9136])).
% 72.75/45.59 tff(9142,plain,
% 72.75/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1)))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9143,plain,
% 72.75/45.59 (((~nextState(constB58, constB59)) | v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1))) <=> (v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1)))),
% 72.75/45.59 inference(rewrite,[status(thm)],[])).
% 72.75/45.59 tff(9144,plain,
% 72.75/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1))))),
% 72.75/45.59 inference(monotonicity,[status(thm)],[9143])).
% 72.75/45.59 tff(9145,plain,
% 72.75/45.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1)))),
% 72.75/45.59 inference(transitivity,[status(thm)],[9144, 9142])).
% 72.75/45.59 tff(9146,plain,
% 72.75/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1)))),
% 72.75/45.59 inference(quant_inst,[status(thm)],[])).
% 72.75/45.59 tff(9147,plain,
% 72.75/45.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex1))),
% 72.75/45.59 inference(modus_ponens,[status(thm)],[9146, 9145])).
% 72.75/45.59 tff(9148,plain,
% 72.75/45.59 (v90(constB58, bitIndex1) | v100(constB59) | (~v90(constB59, bitIndex1))),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9147, 109, 9129])).
% 72.75/45.59 tff(9149,plain,
% 72.75/45.59 (v90(constB58, bitIndex1) | (~v90(constB59, bitIndex1))),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9148, 9141])).
% 72.75/45.59 tff(9150,plain,
% 72.75/45.59 (~v90(constB59, bitIndex1)),
% 72.75/45.59 inference(unit_resolution,[status(thm)],[9149, 9123])).
% 72.75/45.59 tff(9151,plain,
% 72.75/45.59 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB59, bitIndex1) | (~v121(constB59)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB59, bitIndex1) | (~v121(constB59)))),
% 72.75/45.60 inference(rewrite,[status(thm)],[])).
% 72.75/45.60 tff(9152,plain,
% 72.75/45.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB59, bitIndex1) | (~v121(constB59)))),
% 72.75/45.60 inference(quant_inst,[status(thm)],[])).
% 72.75/45.60 tff(9153,plain,
% 72.75/45.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB59, bitIndex1) | (~v121(constB59))),
% 72.75/45.60 inference(modus_ponens,[status(thm)],[9152, 9151])).
% 72.75/45.60 tff(9154,plain,
% 72.75/45.60 (~v121(constB59)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9153, 3190, 9150])).
% 72.75/45.60 tff(9155,plain,
% 72.75/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex0)))),
% 72.75/45.60 inference(rewrite,[status(thm)],[])).
% 72.75/45.60 tff(9156,plain,
% 72.75/45.60 (((~nextState(constB58, constB59)) | v90(constB58, bitIndex0) | v100(constB59) | (~v90(constB59, bitIndex0))) <=> (v90(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex0)))),
% 72.75/45.60 inference(rewrite,[status(thm)],[])).
% 72.75/45.60 tff(9157,plain,
% 72.75/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex0) | v100(constB59) | (~v90(constB59, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex0))))),
% 72.75/45.60 inference(monotonicity,[status(thm)],[9156])).
% 72.75/45.60 tff(9158,plain,
% 72.75/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex0) | v100(constB59) | (~v90(constB59, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex0)))),
% 72.75/45.60 inference(transitivity,[status(thm)],[9157, 9155])).
% 72.75/45.60 tff(9159,plain,
% 72.75/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex0) | v100(constB59) | (~v90(constB59, bitIndex0)))),
% 72.75/45.60 inference(quant_inst,[status(thm)],[])).
% 72.75/45.60 tff(9160,plain,
% 72.75/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex0))),
% 72.75/45.60 inference(modus_ponens,[status(thm)],[9159, 9158])).
% 72.75/45.60 tff(9161,plain,
% 72.75/45.60 (v90(constB58, bitIndex0) | v100(constB59) | (~v90(constB59, bitIndex0))),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9160, 130, 9129])).
% 72.75/45.60 tff(9162,plain,
% 72.75/45.60 (v90(constB58, bitIndex0) | (~v90(constB59, bitIndex0))),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9161, 9141])).
% 72.75/45.60 tff(9163,plain,
% 72.75/45.60 (~v90(constB59, bitIndex0)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9162, 9027])).
% 72.75/45.60 tff(9164,assumption,(~v90(constB59, bitIndex2)), introduced(assumption)).
% 72.75/45.60 tff(9165,plain,
% 72.75/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex2))),
% 72.75/45.60 inference(rewrite,[status(thm)],[])).
% 72.75/45.60 tff(9166,plain,
% 72.75/45.60 (((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex2)) | v100(constB59) | v90(constB59, bitIndex2)) <=> ((~v90(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex2))),
% 72.75/45.60 inference(rewrite,[status(thm)],[])).
% 72.75/45.60 tff(9167,plain,
% 72.75/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex2)) | v100(constB59) | v90(constB59, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex2)))),
% 72.75/45.60 inference(monotonicity,[status(thm)],[9166])).
% 72.75/45.60 tff(9168,plain,
% 72.75/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex2)) | v100(constB59) | v90(constB59, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex2))),
% 72.75/45.60 inference(transitivity,[status(thm)],[9167, 9165])).
% 72.75/45.60 tff(9169,plain,
% 72.75/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex2)) | v100(constB59) | v90(constB59, bitIndex2))),
% 72.75/45.60 inference(quant_inst,[status(thm)],[])).
% 72.75/45.60 tff(9170,plain,
% 72.75/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex2)),
% 72.75/45.60 inference(modus_ponens,[status(thm)],[9169, 9168])).
% 72.75/45.60 tff(9171,plain,
% 72.75/45.60 ((~v90(constB58, bitIndex2)) | v100(constB59) | v90(constB59, bitIndex2)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9170, 1370, 9129])).
% 72.75/45.60 tff(9172,plain,
% 72.75/45.60 ((~v90(constB58, bitIndex2)) | v90(constB59, bitIndex2)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9171, 9141])).
% 72.75/45.60 tff(9173,plain,
% 72.75/45.60 (~v90(constB58, bitIndex2)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9172, 9164])).
% 72.75/45.60 tff(9174,assumption,(~v90(constB59, bitIndex0)), introduced(assumption)).
% 72.75/45.60 tff(9175,assumption,(~v121(constB59)), introduced(assumption)).
% 72.75/45.60 tff(9176,plain,
% 72.75/45.60 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex2) | v121(constB59))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex2) | v121(constB59))),
% 72.75/45.60 inference(rewrite,[status(thm)],[])).
% 72.75/45.60 tff(9177,plain,
% 72.75/45.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex2) | v121(constB59))),
% 72.75/45.60 inference(quant_inst,[status(thm)],[])).
% 72.75/45.60 tff(9178,plain,
% 72.75/45.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex2) | v121(constB59)),
% 72.75/45.60 inference(modus_ponens,[status(thm)],[9177, 9176])).
% 72.75/45.60 tff(9179,plain,
% 72.75/45.60 (v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex2)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9178, 965, 9175])).
% 72.75/45.60 tff(9180,plain,
% 72.75/45.60 (~v90(constB59, bitIndex1)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9179, 9164, 9174])).
% 72.75/45.60 tff(9181,plain,
% 72.75/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex1))),
% 72.75/45.60 inference(rewrite,[status(thm)],[])).
% 72.75/45.60 tff(9182,plain,
% 72.75/45.60 (((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex1)) | v100(constB59) | v90(constB59, bitIndex1)) <=> ((~v90(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex1))),
% 72.75/45.60 inference(rewrite,[status(thm)],[])).
% 72.75/45.60 tff(9183,plain,
% 72.75/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex1)) | v100(constB59) | v90(constB59, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex1)))),
% 72.75/45.60 inference(monotonicity,[status(thm)],[9182])).
% 72.75/45.60 tff(9184,plain,
% 72.75/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex1)) | v100(constB59) | v90(constB59, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex1))),
% 72.75/45.60 inference(transitivity,[status(thm)],[9183, 9181])).
% 72.75/45.60 tff(9185,plain,
% 72.75/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex1)) | v100(constB59) | v90(constB59, bitIndex1))),
% 72.75/45.60 inference(quant_inst,[status(thm)],[])).
% 72.75/45.60 tff(9186,plain,
% 72.75/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex1)),
% 72.75/45.60 inference(modus_ponens,[status(thm)],[9185, 9184])).
% 72.75/45.60 tff(9187,plain,
% 72.75/45.60 ((~v90(constB58, bitIndex1)) | v100(constB59) | v90(constB59, bitIndex1)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9186, 872, 9129])).
% 72.75/45.60 tff(9188,plain,
% 72.75/45.60 ((~v90(constB58, bitIndex1)) | v90(constB59, bitIndex1)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9187, 9141])).
% 72.75/45.60 tff(9189,plain,
% 72.75/45.60 (~v90(constB58, bitIndex1)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9188, 9180])).
% 72.75/45.60 tff(9190,plain,
% 72.75/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex0))),
% 72.75/45.60 inference(rewrite,[status(thm)],[])).
% 72.75/45.60 tff(9191,plain,
% 72.75/45.60 (((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex0)) | v100(constB59) | v90(constB59, bitIndex0)) <=> ((~v90(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex0))),
% 72.75/45.60 inference(rewrite,[status(thm)],[])).
% 72.75/45.60 tff(9192,plain,
% 72.75/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex0)) | v100(constB59) | v90(constB59, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex0)))),
% 72.75/45.60 inference(monotonicity,[status(thm)],[9191])).
% 72.75/45.60 tff(9193,plain,
% 72.75/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex0)) | v100(constB59) | v90(constB59, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex0))),
% 72.75/45.60 inference(transitivity,[status(thm)],[9192, 9190])).
% 72.75/45.60 tff(9194,plain,
% 72.75/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex0)) | v100(constB59) | v90(constB59, bitIndex0))),
% 72.75/45.60 inference(quant_inst,[status(thm)],[])).
% 72.75/45.60 tff(9195,plain,
% 72.75/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex0)),
% 72.75/45.60 inference(modus_ponens,[status(thm)],[9194, 9193])).
% 72.75/45.60 tff(9196,plain,
% 72.75/45.60 ((~v90(constB58, bitIndex0)) | v100(constB59) | v90(constB59, bitIndex0)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9195, 437, 9129])).
% 72.75/45.60 tff(9197,plain,
% 72.75/45.60 ((~v90(constB58, bitIndex0)) | v90(constB59, bitIndex0)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9196, 9141])).
% 72.75/45.60 tff(9198,plain,
% 72.75/45.60 (~v90(constB58, bitIndex0)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9197, 9174])).
% 72.75/45.60 tff(9199,assumption,(~v90(constB58, bitIndex2)), introduced(assumption)).
% 72.75/45.60 tff(9200,assumption,(v120(constB57)), introduced(assumption)).
% 72.75/45.60 tff(9201,plain,
% 72.75/45.60 (v90(constB57, bitIndex0)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[8982, 3723, 9200])).
% 72.75/45.60 tff(9202,plain,
% 72.75/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB57, bitIndex0)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB57, bitIndex0)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex0))),
% 72.75/45.60 inference(rewrite,[status(thm)],[])).
% 72.75/45.60 tff(9203,plain,
% 72.75/45.60 (((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex0)) | v100(constB58) | v90(constB58, bitIndex0)) <=> ((~v90(constB57, bitIndex0)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex0))),
% 72.75/45.60 inference(rewrite,[status(thm)],[])).
% 72.75/45.60 tff(9204,plain,
% 72.75/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex0)) | v100(constB58) | v90(constB58, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB57, bitIndex0)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex0)))),
% 72.75/45.60 inference(monotonicity,[status(thm)],[9203])).
% 72.75/45.60 tff(9205,plain,
% 72.75/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex0)) | v100(constB58) | v90(constB58, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB57, bitIndex0)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex0))),
% 72.75/45.60 inference(transitivity,[status(thm)],[9204, 9202])).
% 72.75/45.60 tff(9206,plain,
% 72.75/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex0)) | v100(constB58) | v90(constB58, bitIndex0))),
% 72.75/45.60 inference(quant_inst,[status(thm)],[])).
% 72.75/45.60 tff(9207,plain,
% 72.75/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB57, bitIndex0)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex0)),
% 72.75/45.60 inference(modus_ponens,[status(thm)],[9206, 9205])).
% 72.75/45.60 tff(9208,plain,
% 72.75/45.60 ((~v90(constB57, bitIndex0)) | v100(constB58) | v90(constB58, bitIndex0)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9207, 437, 8918])).
% 72.75/45.60 tff(9209,plain,
% 72.75/45.60 (v100(constB58)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9208, 9201, 9027])).
% 72.75/45.60 tff(9210,plain,
% 72.75/45.60 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB57)) | v130(constB57, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB57)) | v130(constB57, bitIndex1))),
% 72.75/45.60 inference(rewrite,[status(thm)],[])).
% 72.75/45.60 tff(9211,plain,
% 72.75/45.60 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB57)) | v130(constB57, bitIndex1))),
% 72.75/45.60 inference(quant_inst,[status(thm)],[])).
% 72.75/45.60 tff(9212,plain,
% 72.75/45.60 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB57)) | v130(constB57, bitIndex1)),
% 72.75/45.60 inference(modus_ponens,[status(thm)],[9211, 9210])).
% 72.75/45.60 tff(9213,plain,
% 72.75/45.60 (v130(constB57, bitIndex1)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9212, 810, 9200])).
% 72.75/45.60 tff(9214,plain,
% 72.75/45.60 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB57) | (~v130(constB57, bitIndex1)) | v127(constB57, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB57) | (~v130(constB57, bitIndex1)) | v127(constB57, bitIndex1))),
% 72.75/45.60 inference(rewrite,[status(thm)],[])).
% 72.75/45.60 tff(9215,plain,
% 72.75/45.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB57) | (~v130(constB57, bitIndex1)) | v127(constB57, bitIndex1))),
% 72.75/45.60 inference(quant_inst,[status(thm)],[])).
% 72.75/45.60 tff(9216,plain,
% 72.75/45.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB57) | (~v130(constB57, bitIndex1)) | v127(constB57, bitIndex1)),
% 72.75/45.60 inference(modus_ponens,[status(thm)],[9215, 9214])).
% 72.75/45.60 tff(9217,plain,
% 72.75/45.60 ((~v130(constB57, bitIndex1)) | v127(constB57, bitIndex1)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9216, 824, 9004])).
% 72.75/45.60 tff(9218,plain,
% 72.75/45.60 (v127(constB57, bitIndex1)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9217, 9213])).
% 72.75/45.60 tff(9219,plain,
% 72.75/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex1)) | v129(constB58, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex1)) | v129(constB58, bitIndex1))),
% 72.75/45.60 inference(rewrite,[status(thm)],[])).
% 72.75/45.60 tff(9220,plain,
% 72.75/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex1)) | v129(constB58, bitIndex1))),
% 72.75/45.60 inference(quant_inst,[status(thm)],[])).
% 72.75/45.60 tff(9221,plain,
% 72.75/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex1)) | v129(constB58, bitIndex1)),
% 72.75/45.60 inference(modus_ponens,[status(thm)],[9220, 9219])).
% 72.75/45.60 tff(9222,plain,
% 72.75/45.60 ((~v127(constB57, bitIndex1)) | v129(constB58, bitIndex1)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9221, 839, 8918])).
% 72.75/45.60 tff(9223,plain,
% 72.75/45.60 (v129(constB58, bitIndex1)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9222, 9218])).
% 72.75/45.60 tff(9224,plain,
% 72.75/45.60 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1)) | (~v100(constB58)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1)) | (~v100(constB58)))),
% 72.75/45.60 inference(rewrite,[status(thm)],[])).
% 72.75/45.60 tff(9225,plain,
% 72.75/45.60 ((v90(constB58, bitIndex1) | (~v100(constB58)) | (~v129(constB58, bitIndex1))) <=> (v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1)) | (~v100(constB58)))),
% 72.75/45.60 inference(rewrite,[status(thm)],[])).
% 72.75/45.60 tff(9226,plain,
% 72.75/45.60 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~v100(constB58)) | (~v129(constB58, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1)) | (~v100(constB58))))),
% 72.75/45.60 inference(monotonicity,[status(thm)],[9225])).
% 72.75/45.60 tff(9227,plain,
% 72.75/45.60 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~v100(constB58)) | (~v129(constB58, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1)) | (~v100(constB58)))),
% 72.75/45.60 inference(transitivity,[status(thm)],[9226, 9224])).
% 72.75/45.60 tff(9228,plain,
% 72.75/45.60 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~v100(constB58)) | (~v129(constB58, bitIndex1)))),
% 72.75/45.60 inference(quant_inst,[status(thm)],[])).
% 72.75/45.60 tff(9229,plain,
% 72.75/45.60 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1)) | (~v100(constB58))),
% 72.75/45.60 inference(modus_ponens,[status(thm)],[9228, 9227])).
% 72.75/45.60 tff(9230,plain,
% 72.75/45.60 ((~v129(constB58, bitIndex1)) | (~v100(constB58))),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9229, 854, 9123])).
% 72.75/45.60 tff(9231,plain,
% 72.75/45.60 ($false),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9230, 9223, 9209])).
% 72.75/45.60 tff(9232,plain,((~v120(constB57)) | v90(constB58, bitIndex1) | v90(constB58, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.75/45.60 tff(9233,plain,
% 72.75/45.60 (~v120(constB57)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9232, 9123, 9027])).
% 72.75/45.60 tff(9234,assumption,(~v90(constB57, bitIndex0)), introduced(assumption)).
% 72.75/45.60 tff(9235,plain,
% 72.75/45.60 (~v122(constB57)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[8986, 3734, 9234])).
% 72.75/45.60 tff(9236,plain,
% 72.75/45.60 (v130(constB57, bitIndex0)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9052, 9235, 9233, 9043])).
% 72.75/45.60 tff(9237,plain,
% 72.75/45.60 (v127(constB57, bitIndex0)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9057, 9236])).
% 72.75/45.60 tff(9238,plain,
% 72.75/45.60 (v129(constB58, bitIndex0)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9062, 9237])).
% 72.75/45.60 tff(9239,plain,
% 72.75/45.60 ((~v129(constB58, bitIndex0)) | (~v100(constB58))),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9069, 401, 9027])).
% 72.75/45.60 tff(9240,plain,
% 72.75/45.60 (~v100(constB58)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9239, 9238])).
% 72.75/45.60 tff(9241,plain,
% 72.75/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2))),
% 72.75/45.60 inference(rewrite,[status(thm)],[])).
% 72.75/45.60 tff(9242,plain,
% 72.75/45.60 (((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex2)) | v100(constB58) | v90(constB58, bitIndex2)) <=> ((~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2))),
% 72.75/45.60 inference(rewrite,[status(thm)],[])).
% 72.75/45.60 tff(9243,plain,
% 72.75/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex2)) | v100(constB58) | v90(constB58, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2)))),
% 72.75/45.60 inference(monotonicity,[status(thm)],[9242])).
% 72.75/45.60 tff(9244,plain,
% 72.75/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex2)) | v100(constB58) | v90(constB58, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2))),
% 72.75/45.60 inference(transitivity,[status(thm)],[9243, 9241])).
% 72.75/45.60 tff(9245,plain,
% 72.75/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex2)) | v100(constB58) | v90(constB58, bitIndex2))),
% 72.75/45.60 inference(quant_inst,[status(thm)],[])).
% 72.75/45.60 tff(9246,plain,
% 72.75/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB57, bitIndex2)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex2)),
% 72.75/45.60 inference(modus_ponens,[status(thm)],[9245, 9244])).
% 72.75/45.60 tff(9247,plain,
% 72.75/45.60 ((~v90(constB57, bitIndex2)) | v100(constB58) | v90(constB58, bitIndex2)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9246, 1370, 8918])).
% 72.75/45.60 tff(9248,plain,
% 72.75/45.60 (~v90(constB57, bitIndex2)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9247, 9240, 9199])).
% 72.75/45.60 tff(9249,plain,
% 72.75/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB57, bitIndex1)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB57, bitIndex1)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex1))),
% 72.75/45.60 inference(rewrite,[status(thm)],[])).
% 72.75/45.60 tff(9250,plain,
% 72.75/45.60 (((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex1)) | v100(constB58) | v90(constB58, bitIndex1)) <=> ((~v90(constB57, bitIndex1)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex1))),
% 72.75/45.60 inference(rewrite,[status(thm)],[])).
% 72.75/45.60 tff(9251,plain,
% 72.75/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex1)) | v100(constB58) | v90(constB58, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB57, bitIndex1)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex1)))),
% 72.75/45.60 inference(monotonicity,[status(thm)],[9250])).
% 72.75/45.60 tff(9252,plain,
% 72.75/45.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex1)) | v100(constB58) | v90(constB58, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB57, bitIndex1)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex1))),
% 72.75/45.60 inference(transitivity,[status(thm)],[9251, 9249])).
% 72.75/45.60 tff(9253,plain,
% 72.75/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB57, constB58)) | (~v90(constB57, bitIndex1)) | v100(constB58) | v90(constB58, bitIndex1))),
% 72.75/45.60 inference(quant_inst,[status(thm)],[])).
% 72.75/45.60 tff(9254,plain,
% 72.75/45.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB57, bitIndex1)) | (~nextState(constB57, constB58)) | v100(constB58) | v90(constB58, bitIndex1)),
% 72.75/45.60 inference(modus_ponens,[status(thm)],[9253, 9252])).
% 72.75/45.60 tff(9255,plain,
% 72.75/45.60 ((~v90(constB57, bitIndex1)) | v100(constB58) | v90(constB58, bitIndex1)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9254, 872, 8918])).
% 72.75/45.60 tff(9256,plain,
% 72.75/45.60 (~v90(constB57, bitIndex1)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9255, 9240, 9123])).
% 72.75/45.60 tff(9257,plain,
% 72.75/45.60 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB57) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB57) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2))),
% 72.75/45.60 inference(rewrite,[status(thm)],[])).
% 72.75/45.60 tff(9258,plain,
% 72.75/45.60 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB57) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2))),
% 72.75/45.60 inference(quant_inst,[status(thm)],[])).
% 72.75/45.60 tff(9259,plain,
% 72.75/45.60 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB57) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2)),
% 72.75/45.60 inference(modus_ponens,[status(thm)],[9258, 9257])).
% 72.75/45.60 tff(9260,plain,
% 72.75/45.60 (v119(constB57) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9259, 151, 9234])).
% 72.75/45.60 tff(9261,plain,
% 72.75/45.60 (v119(constB57)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9260, 9256, 9248])).
% 72.75/45.60 tff(9262,plain,
% 72.75/45.60 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB57) | (~v119(constB57)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB57) | (~v119(constB57)))),
% 72.75/45.60 inference(rewrite,[status(thm)],[])).
% 72.75/45.60 tff(9263,plain,
% 72.75/45.60 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB57) | (~v119(constB57)))),
% 72.75/45.60 inference(quant_inst,[status(thm)],[])).
% 72.75/45.60 tff(9264,plain,
% 72.75/45.60 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB57) | (~v119(constB57))),
% 72.75/45.60 inference(modus_ponens,[status(thm)],[9263, 9262])).
% 72.75/45.60 tff(9265,plain,
% 72.75/45.60 (v118(constB57)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9264, 232, 9261])).
% 72.75/45.60 tff(9266,plain,
% 72.75/45.60 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB57) | (~v118(constB57)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB57) | (~v118(constB57)))),
% 72.75/45.60 inference(rewrite,[status(thm)],[])).
% 72.75/45.60 tff(9267,plain,
% 72.75/45.60 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB57) | (~v118(constB57)))),
% 72.75/45.60 inference(quant_inst,[status(thm)],[])).
% 72.75/45.60 tff(9268,plain,
% 72.75/45.60 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB57) | (~v118(constB57))),
% 72.75/45.60 inference(modus_ponens,[status(thm)],[9267, 9266])).
% 72.75/45.60 tff(9269,plain,
% 72.75/45.60 (v117(constB57)),
% 72.75/45.60 inference(unit_resolution,[status(thm)],[9268, 243, 9265])).
% 72.75/45.60 tff(9270,plain,
% 72.75/45.60 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB57) | (~v117(constB57)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB57) | (~v117(constB57)))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9271,plain,
% 72.75/45.61 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB57) | (~v117(constB57)))),
% 72.75/45.61 inference(quant_inst,[status(thm)],[])).
% 72.75/45.61 tff(9272,plain,
% 72.75/45.61 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB57) | (~v117(constB57))),
% 72.75/45.61 inference(modus_ponens,[status(thm)],[9271, 9270])).
% 72.75/45.61 tff(9273,plain,
% 72.75/45.61 (v116(constB57)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9272, 254, 9269])).
% 72.75/45.61 tff(9274,plain,
% 72.75/45.61 (~v110(constB58)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9097, 9240])).
% 72.75/45.61 tff(9275,plain,
% 72.75/45.61 (~v108(constB57)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9105, 9274])).
% 72.75/45.61 tff(9276,plain,
% 72.75/45.61 (~v112(constB57)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9109, 210, 9275])).
% 72.75/45.61 tff(9277,plain,
% 72.75/45.61 (~v113(constB57)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9117, 9276])).
% 72.75/45.61 tff(9278,plain,
% 72.75/45.61 (~v114(constB57)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9121, 287, 9277])).
% 72.75/45.61 tff(9279,plain,
% 72.75/45.61 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB57) | (~v115(constB57)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB57) | (~v115(constB57)))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9280,plain,
% 72.75/45.61 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB57) | (~v115(constB57)))),
% 72.75/45.61 inference(quant_inst,[status(thm)],[])).
% 72.75/45.61 tff(9281,plain,
% 72.75/45.61 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB57) | (~v115(constB57))),
% 72.75/45.61 inference(modus_ponens,[status(thm)],[9280, 9279])).
% 72.75/45.61 tff(9282,plain,
% 72.75/45.61 (~v115(constB57)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9281, 276, 9278])).
% 72.75/45.61 tff(9283,plain,
% 72.75/45.61 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB57) | (~v116(constB57)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB57) | (~v116(constB57)))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9284,plain,
% 72.75/45.61 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB57) | (~v116(constB57)))),
% 72.75/45.61 inference(quant_inst,[status(thm)],[])).
% 72.75/45.61 tff(9285,plain,
% 72.75/45.61 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB57) | (~v116(constB57))),
% 72.75/45.61 inference(modus_ponens,[status(thm)],[9284, 9283])).
% 72.75/45.61 tff(9286,plain,
% 72.75/45.61 ($false),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9285, 265, 9282, 9273])).
% 72.75/45.61 tff(9287,plain,(v90(constB57, bitIndex0) | v90(constB58, bitIndex1) | v90(constB58, bitIndex2) | v90(constB58, bitIndex0) | v124(constB57)), inference(lemma,lemma(discharge,[]))).
% 72.75/45.61 tff(9288,plain,
% 72.75/45.61 (v90(constB57, bitIndex0)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9287, 9043, 9199, 9027, 9123])).
% 72.75/45.61 tff(9289,plain,
% 72.75/45.61 (v100(constB58)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9208, 9288, 9027])).
% 72.75/45.61 tff(9290,plain,
% 72.75/45.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58)))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9291,plain,
% 72.75/45.61 ((v90(constB58, bitIndex2) | (~v100(constB58)) | (~v129(constB58, bitIndex2))) <=> (v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58)))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9292,plain,
% 72.75/45.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v100(constB58)) | (~v129(constB58, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58))))),
% 72.75/45.61 inference(monotonicity,[status(thm)],[9291])).
% 72.75/45.61 tff(9293,plain,
% 72.75/45.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v100(constB58)) | (~v129(constB58, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58)))),
% 72.75/45.61 inference(transitivity,[status(thm)],[9292, 9290])).
% 72.75/45.61 tff(9294,plain,
% 72.75/45.61 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~v100(constB58)) | (~v129(constB58, bitIndex2)))),
% 72.75/45.61 inference(quant_inst,[status(thm)],[])).
% 72.75/45.61 tff(9295,plain,
% 72.75/45.61 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2)) | (~v100(constB58))),
% 72.75/45.61 inference(modus_ponens,[status(thm)],[9294, 9293])).
% 72.75/45.61 tff(9296,plain,
% 72.75/45.61 ((~v129(constB58, bitIndex2)) | (~v100(constB58))),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9295, 1334, 9199])).
% 72.75/45.61 tff(9297,plain,
% 72.75/45.61 (~v129(constB58, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9296, 9289])).
% 72.75/45.61 tff(9298,plain,
% 72.75/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9299,plain,
% 72.75/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2))),
% 72.75/45.61 inference(quant_inst,[status(thm)],[])).
% 72.75/45.61 tff(9300,plain,
% 72.75/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2)),
% 72.75/45.61 inference(modus_ponens,[status(thm)],[9299, 9298])).
% 72.75/45.61 tff(9301,plain,
% 72.75/45.61 ((~v127(constB57, bitIndex2)) | v129(constB58, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9300, 1319, 8918])).
% 72.75/45.61 tff(9302,plain,
% 72.75/45.61 (~v127(constB57, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9301, 9297])).
% 72.75/45.61 tff(9303,plain,
% 72.75/45.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9304,plain,
% 72.75/45.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2))),
% 72.75/45.61 inference(quant_inst,[status(thm)],[])).
% 72.75/45.61 tff(9305,plain,
% 72.75/45.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB57) | (~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2)),
% 72.75/45.61 inference(modus_ponens,[status(thm)],[9304, 9303])).
% 72.75/45.61 tff(9306,plain,
% 72.75/45.61 ((~v130(constB57, bitIndex2)) | v127(constB57, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9305, 1304, 9004])).
% 72.75/45.61 tff(9307,plain,
% 72.75/45.61 (~v130(constB57, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9306, 9302])).
% 72.75/45.61 tff(9308,plain,
% 72.75/45.61 (~v129(constB58, bitIndex0)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9239, 9289])).
% 72.75/45.61 tff(9309,plain,
% 72.75/45.61 (~v127(constB57, bitIndex0)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9062, 9308])).
% 72.75/45.61 tff(9310,plain,
% 72.75/45.61 (~v130(constB57, bitIndex0)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9057, 9309])).
% 72.75/45.61 tff(9311,plain,
% 72.75/45.61 (v122(constB57)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9052, 9310, 9233, 9043])).
% 72.75/45.61 tff(9312,plain,
% 72.75/45.61 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB57)) | v130(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB57)) | v130(constB57, bitIndex2))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9313,plain,
% 72.75/45.61 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB57)) | v130(constB57, bitIndex2))),
% 72.75/45.61 inference(quant_inst,[status(thm)],[])).
% 72.75/45.61 tff(9314,plain,
% 72.75/45.61 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB57)) | v130(constB57, bitIndex2)),
% 72.75/45.61 inference(modus_ponens,[status(thm)],[9313, 9312])).
% 72.75/45.61 tff(9315,plain,
% 72.75/45.61 ($false),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9314, 1290, 9311, 9307])).
% 72.75/45.61 tff(9316,plain,(v124(constB57) | v90(constB58, bitIndex2) | v90(constB58, bitIndex0) | v90(constB58, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.75/45.61 tff(9317,plain,
% 72.75/45.61 (v124(constB57)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9316, 9173, 9198, 9189])).
% 72.75/45.61 tff(9318,plain,
% 72.75/45.61 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB57, bitIndex2) | (~v124(constB57)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB57, bitIndex2) | (~v124(constB57)))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9319,plain,
% 72.75/45.61 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB57, bitIndex2) | (~v124(constB57)))),
% 72.75/45.61 inference(quant_inst,[status(thm)],[])).
% 72.75/45.61 tff(9320,plain,
% 72.75/45.61 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB57, bitIndex2) | (~v124(constB57))),
% 72.75/45.61 inference(modus_ponens,[status(thm)],[9319, 9318])).
% 72.75/45.61 tff(9321,plain,
% 72.75/45.61 (v90(constB57, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9320, 3083, 9317])).
% 72.75/45.61 tff(9322,plain,
% 72.75/45.61 (v100(constB58)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9247, 9321, 9173])).
% 72.75/45.61 tff(9323,plain,
% 72.75/45.61 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB57)) | v130(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB57)) | v130(constB57, bitIndex2))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9324,plain,
% 72.75/45.61 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB57)) | v130(constB57, bitIndex2))),
% 72.75/45.61 inference(quant_inst,[status(thm)],[])).
% 72.75/45.61 tff(9325,plain,
% 72.75/45.61 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB57)) | v130(constB57, bitIndex2)),
% 72.75/45.61 inference(modus_ponens,[status(thm)],[9324, 9323])).
% 72.75/45.61 tff(9326,plain,
% 72.75/45.61 (v130(constB57, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9325, 1786, 9317])).
% 72.75/45.61 tff(9327,plain,
% 72.75/45.61 (v127(constB57, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9306, 9326])).
% 72.75/45.61 tff(9328,plain,
% 72.75/45.61 (v129(constB58, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9301, 9327])).
% 72.75/45.61 tff(9329,plain,
% 72.75/45.61 ((~v129(constB58, bitIndex2)) | (~v100(constB58))),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9295, 1334, 9173])).
% 72.75/45.61 tff(9330,plain,
% 72.75/45.61 ($false),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9329, 9328, 9322])).
% 72.75/45.61 tff(9331,plain,(v90(constB59, bitIndex2) | v90(constB59, bitIndex0) | v121(constB59)), inference(lemma,lemma(discharge,[]))).
% 72.75/45.61 tff(9332,plain,
% 72.75/45.61 (v90(constB59, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9331, 9163, 9154])).
% 72.75/45.61 tff(9333,plain,
% 72.75/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex2)))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9334,plain,
% 72.75/45.61 (((~nextState(constB58, constB59)) | v90(constB58, bitIndex2) | v100(constB59) | (~v90(constB59, bitIndex2))) <=> (v90(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex2)))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9335,plain,
% 72.75/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex2) | v100(constB59) | (~v90(constB59, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex2))))),
% 72.75/45.61 inference(monotonicity,[status(thm)],[9334])).
% 72.75/45.61 tff(9336,plain,
% 72.75/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex2) | v100(constB59) | (~v90(constB59, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex2)))),
% 72.75/45.61 inference(transitivity,[status(thm)],[9335, 9333])).
% 72.75/45.61 tff(9337,plain,
% 72.75/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB58, constB59)) | v90(constB58, bitIndex2) | v100(constB59) | (~v90(constB59, bitIndex2)))),
% 72.75/45.61 inference(quant_inst,[status(thm)],[])).
% 72.75/45.61 tff(9338,plain,
% 72.75/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex2))),
% 72.75/45.61 inference(modus_ponens,[status(thm)],[9337, 9336])).
% 72.75/45.61 tff(9339,plain,
% 72.75/45.61 (v90(constB58, bitIndex2) | v100(constB59) | (~v90(constB59, bitIndex2))),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9338, 88, 9129])).
% 72.75/45.61 tff(9340,plain,
% 72.75/45.61 (v90(constB58, bitIndex2) | (~v90(constB59, bitIndex2))),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9339, 9141])).
% 72.75/45.61 tff(9341,plain,
% 72.75/45.61 (v90(constB58, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9340, 9332])).
% 72.75/45.61 tff(9342,plain,
% 72.75/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2)))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9343,plain,
% 72.75/45.61 (((~nextState(constB57, constB58)) | v90(constB57, bitIndex2) | v100(constB58) | (~v90(constB58, bitIndex2))) <=> (v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2)))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9344,plain,
% 72.75/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex2) | v100(constB58) | (~v90(constB58, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2))))),
% 72.75/45.61 inference(monotonicity,[status(thm)],[9343])).
% 72.75/45.61 tff(9345,plain,
% 72.75/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex2) | v100(constB58) | (~v90(constB58, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2)))),
% 72.75/45.61 inference(transitivity,[status(thm)],[9344, 9342])).
% 72.75/45.61 tff(9346,plain,
% 72.75/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex2) | v100(constB58) | (~v90(constB58, bitIndex2)))),
% 72.75/45.61 inference(quant_inst,[status(thm)],[])).
% 72.75/45.61 tff(9347,plain,
% 72.75/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB57, bitIndex2) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex2))),
% 72.75/45.61 inference(modus_ponens,[status(thm)],[9346, 9345])).
% 72.75/45.61 tff(9348,plain,
% 72.75/45.61 (v90(constB57, bitIndex2) | v100(constB58) | (~v90(constB58, bitIndex2))),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9347, 88, 8918])).
% 72.75/45.61 tff(9349,plain,
% 72.75/45.61 (v90(constB57, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9348, 9072, 9341])).
% 72.75/45.61 tff(9350,plain,
% 72.75/45.61 (~v90(constB57, bitIndex1)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9255, 9072, 9123])).
% 72.75/45.61 tff(9351,plain,
% 72.75/45.61 (~v90(constB57, bitIndex0)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9208, 9072, 9027])).
% 72.75/45.61 tff(9352,plain,
% 72.75/45.61 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9353,plain,
% 72.75/45.61 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57))),
% 72.75/45.61 inference(quant_inst,[status(thm)],[])).
% 72.75/45.61 tff(9354,plain,
% 72.75/45.61 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57)),
% 72.75/45.61 inference(modus_ponens,[status(thm)],[9353, 9352])).
% 72.75/45.61 tff(9355,plain,
% 72.75/45.61 (v123(constB57)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9354, 1477, 9351, 9350, 9349])).
% 72.75/45.61 tff(9356,plain,
% 72.75/45.61 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB57) | (~v123(constB57)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB57) | (~v123(constB57)))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9357,plain,
% 72.75/45.61 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB57) | (~v123(constB57)))),
% 72.75/45.61 inference(quant_inst,[status(thm)],[])).
% 72.75/45.61 tff(9358,plain,
% 72.75/45.61 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB57) | (~v123(constB57))),
% 72.75/45.61 inference(modus_ponens,[status(thm)],[9357, 9356])).
% 72.75/45.61 tff(9359,plain,
% 72.75/45.61 (v115(constB57)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9358, 1488, 9355])).
% 72.75/45.61 tff(9360,plain,
% 72.75/45.61 ($false),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9281, 276, 9359, 9122])).
% 72.75/45.61 tff(9361,plain,(v100(constB58) | v90(constB58, bitIndex1) | v90(constB58, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.75/45.61 tff(9362,plain,
% 72.75/45.61 ($false),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9361, 9071, 9027, 9026])).
% 72.75/45.61 tff(9363,plain,(v90(constB58, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.75/45.61 tff(9364,plain,
% 72.75/45.61 (v90(constB59, bitIndex0)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9197, 9363])).
% 72.75/45.61 tff(9365,assumption,(v26(constB55)), introduced(assumption)).
% 72.75/45.61 tff(9366,plain,
% 72.75/45.61 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB55))),
% 72.75/45.61 inference(quant_inst,[status(thm)],[])).
% 72.75/45.61 tff(9367,plain,
% 72.75/45.61 ($false),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9366, 37, 9365])).
% 72.75/45.61 tff(9368,plain,(~v26(constB55)), inference(lemma,lemma(discharge,[]))).
% 72.75/45.61 tff(9369,plain,
% 72.75/45.61 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB55)) | v130(constB55, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB55)) | v130(constB55, bitIndex2))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9370,plain,
% 72.75/45.61 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB55)) | v130(constB55, bitIndex2))),
% 72.75/45.61 inference(quant_inst,[status(thm)],[])).
% 72.75/45.61 tff(9371,plain,
% 72.75/45.61 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB55)) | v130(constB55, bitIndex2)),
% 72.75/45.61 inference(modus_ponens,[status(thm)],[9370, 9369])).
% 72.75/45.61 tff(9372,plain,
% 72.75/45.61 (v130(constB55, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9371, 1290, 8785])).
% 72.75/45.61 tff(9373,plain,
% 72.75/45.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9374,plain,
% 72.75/45.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2))),
% 72.75/45.61 inference(quant_inst,[status(thm)],[])).
% 72.75/45.61 tff(9375,plain,
% 72.75/45.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB55) | (~v130(constB55, bitIndex2)) | v127(constB55, bitIndex2)),
% 72.75/45.61 inference(modus_ponens,[status(thm)],[9374, 9373])).
% 72.75/45.61 tff(9376,plain,
% 72.75/45.61 (v26(constB55) | v127(constB55, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9375, 1304, 9372])).
% 72.75/45.61 tff(9377,plain,
% 72.75/45.61 (v127(constB55, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9376, 9368])).
% 72.75/45.61 tff(9378,plain,
% 72.75/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB55, constB56)) | (~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB55, constB56)) | (~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9379,plain,
% 72.75/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB55, constB56)) | (~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2))),
% 72.75/45.61 inference(quant_inst,[status(thm)],[])).
% 72.75/45.61 tff(9380,plain,
% 72.75/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB55, constB56)) | (~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2)),
% 72.75/45.61 inference(modus_ponens,[status(thm)],[9379, 9378])).
% 72.75/45.61 tff(9381,plain,
% 72.75/45.61 ((~v127(constB55, bitIndex2)) | v129(constB56, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9380, 1319, 8805])).
% 72.75/45.61 tff(9382,plain,
% 72.75/45.61 (v129(constB56, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9381, 9377])).
% 72.75/45.61 tff(9383,plain,
% 72.75/45.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56)))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9384,plain,
% 72.75/45.61 ((v90(constB56, bitIndex2) | (~v100(constB56)) | (~v129(constB56, bitIndex2))) <=> (v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56)))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9385,plain,
% 72.75/45.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~v100(constB56)) | (~v129(constB56, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56))))),
% 72.75/45.61 inference(monotonicity,[status(thm)],[9384])).
% 72.75/45.61 tff(9386,plain,
% 72.75/45.61 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~v100(constB56)) | (~v129(constB56, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56)))),
% 72.75/45.61 inference(transitivity,[status(thm)],[9385, 9383])).
% 72.75/45.61 tff(9387,plain,
% 72.75/45.61 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB56, bitIndex2) | (~v100(constB56)) | (~v129(constB56, bitIndex2)))),
% 72.75/45.61 inference(quant_inst,[status(thm)],[])).
% 72.75/45.61 tff(9388,plain,
% 72.75/45.61 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2)) | (~v100(constB56))),
% 72.75/45.61 inference(modus_ponens,[status(thm)],[9387, 9386])).
% 72.75/45.61 tff(9389,plain,
% 72.75/45.61 (v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2))),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9388, 1334, 8880])).
% 72.75/45.61 tff(9390,plain,
% 72.75/45.61 (v90(constB56, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9389, 9382])).
% 72.75/45.61 tff(9391,plain,
% 72.75/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9392,plain,
% 72.75/45.61 (((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2)) <=> ((~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9393,plain,
% 72.75/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2)))),
% 72.75/45.61 inference(monotonicity,[status(thm)],[9392])).
% 72.75/45.61 tff(9394,plain,
% 72.75/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2))),
% 72.75/45.61 inference(transitivity,[status(thm)],[9393, 9391])).
% 72.75/45.61 tff(9395,plain,
% 72.75/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2))),
% 72.75/45.61 inference(quant_inst,[status(thm)],[])).
% 72.75/45.61 tff(9396,plain,
% 72.75/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex2)),
% 72.75/45.61 inference(modus_ponens,[status(thm)],[9395, 9394])).
% 72.75/45.61 tff(9397,plain,
% 72.75/45.61 ((~v90(constB56, bitIndex2)) | v100(constB57) | v90(constB57, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9396, 1370, 8894])).
% 72.75/45.61 tff(9398,plain,
% 72.75/45.61 ((~v90(constB56, bitIndex2)) | v90(constB57, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9397, 8906])).
% 72.75/45.61 tff(9399,plain,
% 72.75/45.61 (v90(constB57, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9398, 9390])).
% 72.75/45.61 tff(9400,plain,
% 72.75/45.61 (v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)) | v123(constB57)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9354, 1477, 8979])).
% 72.75/45.61 tff(9401,plain,
% 72.75/45.61 (v123(constB57)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9400, 9399, 8915])).
% 72.75/45.61 tff(9402,plain,
% 72.75/45.61 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB57)) | v130(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB57)) | v130(constB57, bitIndex2))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9403,plain,
% 72.75/45.61 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB57)) | v130(constB57, bitIndex2))),
% 72.75/45.61 inference(quant_inst,[status(thm)],[])).
% 72.75/45.61 tff(9404,plain,
% 72.75/45.61 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB57)) | v130(constB57, bitIndex2)),
% 72.75/45.61 inference(modus_ponens,[status(thm)],[9403, 9402])).
% 72.75/45.61 tff(9405,plain,
% 72.75/45.61 (v130(constB57, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9404, 1563, 9401])).
% 72.75/45.61 tff(9406,plain,
% 72.75/45.61 (v127(constB57, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9306, 9405])).
% 72.75/45.61 tff(9407,plain,
% 72.75/45.61 (v129(constB58, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9301, 9406])).
% 72.75/45.61 tff(9408,plain,
% 72.75/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB57, bitIndex0) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB57, bitIndex0) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex0)))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9409,plain,
% 72.75/45.61 (((~nextState(constB57, constB58)) | v90(constB57, bitIndex0) | v100(constB58) | (~v90(constB58, bitIndex0))) <=> (v90(constB57, bitIndex0) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex0)))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9410,plain,
% 72.75/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex0) | v100(constB58) | (~v90(constB58, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB57, bitIndex0) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex0))))),
% 72.75/45.61 inference(monotonicity,[status(thm)],[9409])).
% 72.75/45.61 tff(9411,plain,
% 72.75/45.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex0) | v100(constB58) | (~v90(constB58, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB57, bitIndex0) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex0)))),
% 72.75/45.61 inference(transitivity,[status(thm)],[9410, 9408])).
% 72.75/45.61 tff(9412,plain,
% 72.75/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB57, constB58)) | v90(constB57, bitIndex0) | v100(constB58) | (~v90(constB58, bitIndex0)))),
% 72.75/45.61 inference(quant_inst,[status(thm)],[])).
% 72.75/45.61 tff(9413,plain,
% 72.75/45.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB57, bitIndex0) | (~nextState(constB57, constB58)) | v100(constB58) | (~v90(constB58, bitIndex0))),
% 72.75/45.61 inference(modus_ponens,[status(thm)],[9412, 9411])).
% 72.75/45.61 tff(9414,plain,
% 72.75/45.61 (v90(constB57, bitIndex0) | v100(constB58) | (~v90(constB58, bitIndex0))),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9413, 130, 8918])).
% 72.75/45.61 tff(9415,plain,
% 72.75/45.61 (v100(constB58) | (~v90(constB58, bitIndex0))),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9414, 8979])).
% 72.75/45.61 tff(9416,plain,
% 72.75/45.61 (v100(constB58)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9415, 9363])).
% 72.75/45.61 tff(9417,plain,
% 72.75/45.61 (v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2))),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9295, 1334, 9416])).
% 72.75/45.61 tff(9418,plain,
% 72.75/45.61 (v90(constB58, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9417, 9407])).
% 72.75/45.61 tff(9419,plain,
% 72.75/45.61 (v90(constB59, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9172, 9418])).
% 72.75/45.61 tff(9420,plain,
% 72.75/45.61 (~v90(constB59, bitIndex1)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9149, 9026])).
% 72.75/45.61 tff(9421,plain,
% 72.75/45.61 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | v124(constB59))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | v124(constB59))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9422,plain,
% 72.75/45.61 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | v124(constB59))),
% 72.75/45.61 inference(quant_inst,[status(thm)],[])).
% 72.75/45.61 tff(9423,plain,
% 72.75/45.61 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | v124(constB59)),
% 72.75/45.61 inference(modus_ponens,[status(thm)],[9422, 9421])).
% 72.75/45.61 tff(9424,plain,
% 72.75/45.61 ((~v90(constB59, bitIndex0)) | (~v90(constB59, bitIndex2)) | v124(constB59)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9423, 1707, 9420])).
% 72.75/45.61 tff(9425,plain,
% 72.75/45.61 (v124(constB59)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9424, 9419, 9364])).
% 72.75/45.61 tff(9426,plain,
% 72.75/45.61 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB59)) | v130(constB59, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB59)) | v130(constB59, bitIndex2))),
% 72.75/45.61 inference(rewrite,[status(thm)],[])).
% 72.75/45.61 tff(9427,plain,
% 72.75/45.61 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB59)) | v130(constB59, bitIndex2))),
% 72.75/45.61 inference(quant_inst,[status(thm)],[])).
% 72.75/45.61 tff(9428,plain,
% 72.75/45.61 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB59)) | v130(constB59, bitIndex2)),
% 72.75/45.61 inference(modus_ponens,[status(thm)],[9427, 9426])).
% 72.75/45.61 tff(9429,plain,
% 72.75/45.61 (v130(constB59, bitIndex2)),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9428, 1786, 9425])).
% 72.75/45.61 tff(9430,assumption,(v26(constB59)), introduced(assumption)).
% 72.75/45.61 tff(9431,plain,
% 72.75/45.61 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB59))),
% 72.75/45.61 inference(quant_inst,[status(thm)],[])).
% 72.75/45.61 tff(9432,plain,
% 72.75/45.61 ($false),
% 72.75/45.61 inference(unit_resolution,[status(thm)],[9431, 37, 9430])).
% 72.75/45.61 tff(9433,plain,(~v26(constB59)), inference(lemma,lemma(discharge,[]))).
% 72.75/45.61 tff(9434,plain,
% 72.75/45.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB59) | (~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB59) | (~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9435,plain,
% 72.75/45.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB59) | (~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2))),
% 72.75/45.62 inference(quant_inst,[status(thm)],[])).
% 72.75/45.62 tff(9436,plain,
% 72.75/45.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB59) | (~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2)),
% 72.75/45.62 inference(modus_ponens,[status(thm)],[9435, 9434])).
% 72.75/45.62 tff(9437,plain,
% 72.75/45.62 ((~v130(constB59, bitIndex2)) | v127(constB59, bitIndex2)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9436, 1304, 9433])).
% 72.75/45.62 tff(9438,plain,
% 72.75/45.62 (v127(constB59, bitIndex2)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9437, 9429])).
% 72.75/45.62 tff(9439,plain,
% 72.75/45.62 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9440,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_59_1')).
% 72.75/45.62 tff(9441,plain,
% 72.75/45.62 (nextState(constB59, constB60)),
% 72.75/45.62 inference(modus_ponens,[status(thm)],[9440, 9439])).
% 72.75/45.62 tff(9442,plain,
% 72.75/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9443,plain,
% 72.75/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2))),
% 72.75/45.62 inference(quant_inst,[status(thm)],[])).
% 72.75/45.62 tff(9444,plain,
% 72.75/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2)),
% 72.75/45.62 inference(modus_ponens,[status(thm)],[9443, 9442])).
% 72.75/45.62 tff(9445,plain,
% 72.75/45.62 ((~v127(constB59, bitIndex2)) | v129(constB60, bitIndex2)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9444, 1319, 9441])).
% 72.75/45.62 tff(9446,plain,
% 72.75/45.62 (v129(constB60, bitIndex2)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9445, 9438])).
% 72.75/45.62 tff(9447,assumption,(~v90(constB60, bitIndex1)), introduced(assumption)).
% 72.75/45.62 tff(9448,assumption,(~v90(constB60, bitIndex0)), introduced(assumption)).
% 72.75/45.62 tff(9449,assumption,(~v100(constB60)), introduced(assumption)).
% 72.75/45.62 tff(9450,plain,
% 72.75/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB59, bitIndex1)) | (~nextState(constB59, constB60)) | v100(constB60) | v90(constB60, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB59, bitIndex1)) | (~nextState(constB59, constB60)) | v100(constB60) | v90(constB60, bitIndex1))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9451,plain,
% 72.75/45.62 (((~nextState(constB59, constB60)) | (~v90(constB59, bitIndex1)) | v100(constB60) | v90(constB60, bitIndex1)) <=> ((~v90(constB59, bitIndex1)) | (~nextState(constB59, constB60)) | v100(constB60) | v90(constB60, bitIndex1))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9452,plain,
% 72.75/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v90(constB59, bitIndex1)) | v100(constB60) | v90(constB60, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB59, bitIndex1)) | (~nextState(constB59, constB60)) | v100(constB60) | v90(constB60, bitIndex1)))),
% 72.75/45.62 inference(monotonicity,[status(thm)],[9451])).
% 72.75/45.62 tff(9453,plain,
% 72.75/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v90(constB59, bitIndex1)) | v100(constB60) | v90(constB60, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB59, bitIndex1)) | (~nextState(constB59, constB60)) | v100(constB60) | v90(constB60, bitIndex1))),
% 72.75/45.62 inference(transitivity,[status(thm)],[9452, 9450])).
% 72.75/45.62 tff(9454,plain,
% 72.75/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v90(constB59, bitIndex1)) | v100(constB60) | v90(constB60, bitIndex1))),
% 72.75/45.62 inference(quant_inst,[status(thm)],[])).
% 72.75/45.62 tff(9455,plain,
% 72.75/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB59, bitIndex1)) | (~nextState(constB59, constB60)) | v100(constB60) | v90(constB60, bitIndex1)),
% 72.75/45.62 inference(modus_ponens,[status(thm)],[9454, 9453])).
% 72.75/45.62 tff(9456,plain,
% 72.75/45.62 ((~v90(constB59, bitIndex1)) | v100(constB60) | v90(constB60, bitIndex1)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9455, 872, 9441])).
% 72.75/45.62 tff(9457,plain,
% 72.75/45.62 (~v90(constB59, bitIndex1)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9456, 9449, 9447])).
% 72.75/45.62 tff(9458,plain,
% 72.75/45.62 (~v90(constB58, bitIndex1)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9188, 9457])).
% 72.75/45.62 tff(9459,plain,
% 72.75/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB59, bitIndex0)) | (~nextState(constB59, constB60)) | v100(constB60) | v90(constB60, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB59, bitIndex0)) | (~nextState(constB59, constB60)) | v100(constB60) | v90(constB60, bitIndex0))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9460,plain,
% 72.75/45.62 (((~nextState(constB59, constB60)) | (~v90(constB59, bitIndex0)) | v100(constB60) | v90(constB60, bitIndex0)) <=> ((~v90(constB59, bitIndex0)) | (~nextState(constB59, constB60)) | v100(constB60) | v90(constB60, bitIndex0))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9461,plain,
% 72.75/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB59, constB60)) | (~v90(constB59, bitIndex0)) | v100(constB60) | v90(constB60, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB59, bitIndex0)) | (~nextState(constB59, constB60)) | v100(constB60) | v90(constB60, bitIndex0)))),
% 72.75/45.62 inference(monotonicity,[status(thm)],[9460])).
% 72.75/45.62 tff(9462,plain,
% 72.75/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB59, constB60)) | (~v90(constB59, bitIndex0)) | v100(constB60) | v90(constB60, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB59, bitIndex0)) | (~nextState(constB59, constB60)) | v100(constB60) | v90(constB60, bitIndex0))),
% 72.75/45.62 inference(transitivity,[status(thm)],[9461, 9459])).
% 72.75/45.62 tff(9463,plain,
% 72.75/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB59, constB60)) | (~v90(constB59, bitIndex0)) | v100(constB60) | v90(constB60, bitIndex0))),
% 72.75/45.62 inference(quant_inst,[status(thm)],[])).
% 72.75/45.62 tff(9464,plain,
% 72.75/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB59, bitIndex0)) | (~nextState(constB59, constB60)) | v100(constB60) | v90(constB60, bitIndex0)),
% 72.75/45.62 inference(modus_ponens,[status(thm)],[9463, 9462])).
% 72.75/45.62 tff(9465,plain,
% 72.75/45.62 ((~v90(constB59, bitIndex0)) | v100(constB60) | v90(constB60, bitIndex0)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9464, 437, 9441])).
% 72.75/45.62 tff(9466,plain,
% 72.75/45.62 (~v90(constB59, bitIndex0)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9465, 9449, 9448])).
% 72.75/45.62 tff(9467,plain,
% 72.75/45.62 (~v90(constB58, bitIndex0)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9197, 9466])).
% 72.75/45.62 tff(9468,plain,
% 72.75/45.62 (~v100(constB58)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9070, 9467])).
% 72.75/45.62 tff(9469,plain,
% 72.75/45.62 ($false),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9361, 9468, 9467, 9458])).
% 72.75/45.62 tff(9470,plain,(v100(constB60) | v90(constB60, bitIndex1) | v90(constB60, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.75/45.62 tff(9471,plain,
% 72.75/45.62 (v100(constB60)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9470, 9448, 9447])).
% 72.75/45.62 tff(9472,plain,
% 72.75/45.62 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60)))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9473,plain,
% 72.75/45.62 ((v90(constB60, bitIndex0) | (~v100(constB60)) | (~v129(constB60, bitIndex0))) <=> (v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60)))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9474,plain,
% 72.75/45.62 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~v100(constB60)) | (~v129(constB60, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60))))),
% 72.75/45.62 inference(monotonicity,[status(thm)],[9473])).
% 72.75/45.62 tff(9475,plain,
% 72.75/45.62 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~v100(constB60)) | (~v129(constB60, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60)))),
% 72.75/45.62 inference(transitivity,[status(thm)],[9474, 9472])).
% 72.75/45.62 tff(9476,plain,
% 72.75/45.62 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~v100(constB60)) | (~v129(constB60, bitIndex0)))),
% 72.75/45.62 inference(quant_inst,[status(thm)],[])).
% 72.75/45.62 tff(9477,plain,
% 72.75/45.62 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60))),
% 72.75/45.62 inference(modus_ponens,[status(thm)],[9476, 9475])).
% 72.75/45.62 tff(9478,plain,
% 72.75/45.62 (~v129(constB60, bitIndex0)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9477, 401, 9471, 9448])).
% 72.75/45.62 tff(9479,plain,
% 72.75/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9480,plain,
% 72.75/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0))),
% 72.75/45.62 inference(quant_inst,[status(thm)],[])).
% 72.75/45.62 tff(9481,plain,
% 72.75/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0)),
% 72.75/45.62 inference(modus_ponens,[status(thm)],[9480, 9479])).
% 72.75/45.62 tff(9482,plain,
% 72.75/45.62 ((~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9481, 197, 9441])).
% 72.75/45.62 tff(9483,plain,
% 72.75/45.62 (~v127(constB59, bitIndex0)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9482, 9478])).
% 72.75/45.62 tff(9484,plain,
% 72.75/45.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB59) | (~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB59) | (~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9485,plain,
% 72.75/45.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB59) | (~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0))),
% 72.75/45.62 inference(quant_inst,[status(thm)],[])).
% 72.75/45.62 tff(9486,plain,
% 72.75/45.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB59) | (~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0)),
% 72.75/45.62 inference(modus_ponens,[status(thm)],[9485, 9484])).
% 72.75/45.62 tff(9487,plain,
% 72.75/45.62 ((~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9486, 179, 9433])).
% 72.75/45.62 tff(9488,plain,
% 72.75/45.62 (~v130(constB59, bitIndex0)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9487, 9483])).
% 72.75/45.62 tff(9489,plain,
% 72.75/45.62 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9490,plain,
% 72.75/45.62 ((v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1))) <=> (v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9491,plain,
% 72.75/45.62 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60))))),
% 72.75/45.62 inference(monotonicity,[status(thm)],[9490])).
% 72.75/45.62 tff(9492,plain,
% 72.75/45.62 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))),
% 72.75/45.62 inference(transitivity,[status(thm)],[9491, 9489])).
% 72.75/45.62 tff(9493,plain,
% 72.75/45.62 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1)))),
% 72.75/45.62 inference(quant_inst,[status(thm)],[])).
% 72.75/45.62 tff(9494,plain,
% 72.75/45.62 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60))),
% 72.75/45.62 inference(modus_ponens,[status(thm)],[9493, 9492])).
% 72.75/45.62 tff(9495,plain,
% 72.75/45.62 ((~v129(constB60, bitIndex1)) | (~v100(constB60))),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9494, 854, 9447])).
% 72.75/45.62 tff(9496,plain,
% 72.75/45.62 (~v129(constB60, bitIndex1)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9495, 9471])).
% 72.75/45.62 tff(9497,plain,
% 72.75/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9498,plain,
% 72.75/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1))),
% 72.75/45.62 inference(quant_inst,[status(thm)],[])).
% 72.75/45.62 tff(9499,plain,
% 72.75/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1)),
% 72.75/45.62 inference(modus_ponens,[status(thm)],[9498, 9497])).
% 72.75/45.62 tff(9500,plain,
% 72.75/45.62 ((~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9499, 839, 9441])).
% 72.75/45.62 tff(9501,plain,
% 72.75/45.62 (~v127(constB59, bitIndex1)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9500, 9496])).
% 72.75/45.62 tff(9502,plain,
% 72.75/45.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9503,plain,
% 72.75/45.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1))),
% 72.75/45.62 inference(quant_inst,[status(thm)],[])).
% 72.75/45.62 tff(9504,plain,
% 72.75/45.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1)),
% 72.75/45.62 inference(modus_ponens,[status(thm)],[9503, 9502])).
% 72.75/45.62 tff(9505,plain,
% 72.75/45.62 ((~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9504, 824, 9433])).
% 72.75/45.62 tff(9506,plain,
% 72.75/45.62 (~v130(constB59, bitIndex1)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9505, 9501])).
% 72.75/45.62 tff(9507,plain,
% 72.75/45.62 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB59)) | v130(constB59, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB59)) | v130(constB59, bitIndex1))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9508,plain,
% 72.75/45.62 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB59)) | v130(constB59, bitIndex1))),
% 72.75/45.62 inference(quant_inst,[status(thm)],[])).
% 72.75/45.62 tff(9509,plain,
% 72.75/45.62 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB59)) | v130(constB59, bitIndex1)),
% 72.75/45.62 inference(modus_ponens,[status(thm)],[9508, 9507])).
% 72.75/45.62 tff(9510,plain,
% 72.75/45.62 (~v120(constB59)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9509, 810, 9506])).
% 72.75/45.62 tff(9511,plain,
% 72.75/45.62 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB59)) | v130(constB59, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB59)) | v130(constB59, bitIndex1))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9512,plain,
% 72.75/45.62 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB59)) | v130(constB59, bitIndex1))),
% 72.75/45.62 inference(quant_inst,[status(thm)],[])).
% 72.75/45.62 tff(9513,plain,
% 72.75/45.62 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB59)) | v130(constB59, bitIndex1)),
% 72.75/45.62 inference(modus_ponens,[status(thm)],[9512, 9511])).
% 72.75/45.62 tff(9514,plain,
% 72.75/45.62 (~v124(constB59)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9513, 1867, 9506])).
% 72.75/45.62 tff(9515,plain,
% 72.75/45.62 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB59)) | v130(constB59, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB59)) | v130(constB59, bitIndex0))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9516,plain,
% 72.75/45.62 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB59)) | v130(constB59, bitIndex0))),
% 72.75/45.62 inference(quant_inst,[status(thm)],[])).
% 72.75/45.62 tff(9517,plain,
% 72.75/45.62 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB59)) | v130(constB59, bitIndex0)),
% 72.75/45.62 inference(modus_ponens,[status(thm)],[9516, 9515])).
% 72.75/45.62 tff(9518,plain,
% 72.75/45.62 (~v123(constB59)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9517, 1666, 9488])).
% 72.75/45.62 tff(9519,plain,
% 72.75/45.62 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB59)) | v130(constB59, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB59)) | v130(constB59, bitIndex0))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9520,plain,
% 72.75/45.62 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB59)) | v130(constB59, bitIndex0))),
% 72.75/45.62 inference(quant_inst,[status(thm)],[])).
% 72.75/45.62 tff(9521,plain,
% 72.75/45.62 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB59)) | v130(constB59, bitIndex0)),
% 72.75/45.62 inference(modus_ponens,[status(thm)],[9520, 9519])).
% 72.75/45.62 tff(9522,plain,
% 72.75/45.62 (~v119(constB59)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9521, 165, 9488])).
% 72.75/45.62 tff(9523,plain,
% 72.75/45.62 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB59, bitIndex1) | (~v122(constB59)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB59, bitIndex1) | (~v122(constB59)))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9524,plain,
% 72.75/45.62 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB59, bitIndex1) | (~v122(constB59)))),
% 72.75/45.62 inference(quant_inst,[status(thm)],[])).
% 72.75/45.62 tff(9525,plain,
% 72.75/45.62 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB59, bitIndex1) | (~v122(constB59))),
% 72.75/45.62 inference(modus_ponens,[status(thm)],[9524, 9523])).
% 72.75/45.62 tff(9526,plain,
% 72.75/45.62 (~v122(constB59)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9525, 3201, 9420])).
% 72.75/45.62 tff(9527,plain,
% 72.75/45.62 (~v121(constB59)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9153, 3190, 9420])).
% 72.75/45.62 tff(9528,plain,
% 72.75/45.62 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB59) | v123(constB59) | v122(constB59) | v121(constB59) | v120(constB59) | v119(constB59) | v130(constB59, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB59) | v123(constB59) | v122(constB59) | v121(constB59) | v120(constB59) | v119(constB59) | v130(constB59, bitIndex0))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9529,plain,
% 72.75/45.62 ((v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59) | v124(constB59) | v130(constB59, bitIndex0)) <=> (v124(constB59) | v123(constB59) | v122(constB59) | v121(constB59) | v120(constB59) | v119(constB59) | v130(constB59, bitIndex0))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9530,plain,
% 72.75/45.62 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59) | v124(constB59) | v130(constB59, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB59) | v123(constB59) | v122(constB59) | v121(constB59) | v120(constB59) | v119(constB59) | v130(constB59, bitIndex0)))),
% 72.75/45.62 inference(monotonicity,[status(thm)],[9529])).
% 72.75/45.62 tff(9531,plain,
% 72.75/45.62 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59) | v124(constB59) | v130(constB59, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB59) | v123(constB59) | v122(constB59) | v121(constB59) | v120(constB59) | v119(constB59) | v130(constB59, bitIndex0))),
% 72.75/45.62 inference(transitivity,[status(thm)],[9530, 9528])).
% 72.75/45.62 tff(9532,plain,
% 72.75/45.62 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59) | v124(constB59) | v130(constB59, bitIndex0))),
% 72.75/45.62 inference(quant_inst,[status(thm)],[])).
% 72.75/45.62 tff(9533,plain,
% 72.75/45.62 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB59) | v123(constB59) | v122(constB59) | v121(constB59) | v120(constB59) | v119(constB59) | v130(constB59, bitIndex0)),
% 72.75/45.62 inference(modus_ponens,[status(thm)],[9532, 9531])).
% 72.75/45.62 tff(9534,plain,
% 72.75/45.62 (v124(constB59) | v123(constB59) | v120(constB59) | v119(constB59) | v130(constB59, bitIndex0)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9533, 2192, 9527, 9526])).
% 72.75/45.62 tff(9535,plain,
% 72.75/45.62 ($false),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9534, 9522, 9518, 9514, 9510, 9488])).
% 72.75/45.62 tff(9536,plain,(v90(constB60, bitIndex0) | v90(constB60, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.75/45.62 tff(9537,plain,
% 72.75/45.62 (v90(constB60, bitIndex0)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9536, 9447])).
% 72.75/45.62 tff(9538,assumption,(~v90(constB60, bitIndex2)), introduced(assumption)).
% 72.75/45.62 tff(9539,assumption,(v90(constB60, bitIndex0)), introduced(assumption)).
% 72.75/45.62 tff(9540,plain,
% 72.75/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB59, bitIndex2)) | (~nextState(constB59, constB60)) | v100(constB60) | v90(constB60, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB59, bitIndex2)) | (~nextState(constB59, constB60)) | v100(constB60) | v90(constB60, bitIndex2))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9541,plain,
% 72.75/45.62 (((~nextState(constB59, constB60)) | (~v90(constB59, bitIndex2)) | v100(constB60) | v90(constB60, bitIndex2)) <=> ((~v90(constB59, bitIndex2)) | (~nextState(constB59, constB60)) | v100(constB60) | v90(constB60, bitIndex2))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9542,plain,
% 72.75/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB59, constB60)) | (~v90(constB59, bitIndex2)) | v100(constB60) | v90(constB60, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB59, bitIndex2)) | (~nextState(constB59, constB60)) | v100(constB60) | v90(constB60, bitIndex2)))),
% 72.75/45.62 inference(monotonicity,[status(thm)],[9541])).
% 72.75/45.62 tff(9543,plain,
% 72.75/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB59, constB60)) | (~v90(constB59, bitIndex2)) | v100(constB60) | v90(constB60, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB59, bitIndex2)) | (~nextState(constB59, constB60)) | v100(constB60) | v90(constB60, bitIndex2))),
% 72.75/45.62 inference(transitivity,[status(thm)],[9542, 9540])).
% 72.75/45.62 tff(9544,plain,
% 72.75/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB59, constB60)) | (~v90(constB59, bitIndex2)) | v100(constB60) | v90(constB60, bitIndex2))),
% 72.75/45.62 inference(quant_inst,[status(thm)],[])).
% 72.75/45.62 tff(9545,plain,
% 72.75/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB59, bitIndex2)) | (~nextState(constB59, constB60)) | v100(constB60) | v90(constB60, bitIndex2)),
% 72.75/45.62 inference(modus_ponens,[status(thm)],[9544, 9543])).
% 72.75/45.62 tff(9546,plain,
% 72.75/45.62 ((~v90(constB59, bitIndex2)) | v100(constB60) | v90(constB60, bitIndex2)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9545, 1370, 9441])).
% 72.75/45.62 tff(9547,plain,
% 72.75/45.62 (~v90(constB59, bitIndex2)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9546, 9449, 9538])).
% 72.75/45.62 tff(9548,plain,
% 72.75/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB59, bitIndex0) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB59, bitIndex0) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex0)))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9549,plain,
% 72.75/45.62 (((~nextState(constB59, constB60)) | v90(constB59, bitIndex0) | v100(constB60) | (~v90(constB60, bitIndex0))) <=> (v90(constB59, bitIndex0) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex0)))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9550,plain,
% 72.75/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex0) | v100(constB60) | (~v90(constB60, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB59, bitIndex0) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex0))))),
% 72.75/45.62 inference(monotonicity,[status(thm)],[9549])).
% 72.75/45.62 tff(9551,plain,
% 72.75/45.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex0) | v100(constB60) | (~v90(constB60, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB59, bitIndex0) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex0)))),
% 72.75/45.62 inference(transitivity,[status(thm)],[9550, 9548])).
% 72.75/45.62 tff(9552,plain,
% 72.75/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex0) | v100(constB60) | (~v90(constB60, bitIndex0)))),
% 72.75/45.62 inference(quant_inst,[status(thm)],[])).
% 72.75/45.62 tff(9553,plain,
% 72.75/45.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB59, bitIndex0) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex0))),
% 72.75/45.62 inference(modus_ponens,[status(thm)],[9552, 9551])).
% 72.75/45.62 tff(9554,plain,
% 72.75/45.62 (v90(constB59, bitIndex0) | v100(constB60) | (~v90(constB60, bitIndex0))),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9553, 130, 9441])).
% 72.75/45.62 tff(9555,plain,
% 72.75/45.62 (v90(constB59, bitIndex0)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9554, 9449, 9539])).
% 72.75/45.62 tff(9556,assumption,(~v120(constB59)), introduced(assumption)).
% 72.75/45.62 tff(9557,plain,
% 72.75/45.62 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | v90(constB59, bitIndex2) | v120(constB59))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | v90(constB59, bitIndex2) | v120(constB59))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9558,plain,
% 72.75/45.62 (((~v90(constB59, bitIndex0)) | v120(constB59) | v90(constB59, bitIndex1) | v90(constB59, bitIndex2)) <=> ((~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | v90(constB59, bitIndex2) | v120(constB59))),
% 72.75/45.62 inference(rewrite,[status(thm)],[])).
% 72.75/45.62 tff(9559,plain,
% 72.75/45.62 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB59, bitIndex0)) | v120(constB59) | v90(constB59, bitIndex1) | v90(constB59, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | v90(constB59, bitIndex2) | v120(constB59)))),
% 72.75/45.62 inference(monotonicity,[status(thm)],[9558])).
% 72.75/45.62 tff(9560,plain,
% 72.75/45.62 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB59, bitIndex0)) | v120(constB59) | v90(constB59, bitIndex1) | v90(constB59, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | v90(constB59, bitIndex2) | v120(constB59))),
% 72.75/45.62 inference(transitivity,[status(thm)],[9559, 9557])).
% 72.75/45.62 tff(9561,plain,
% 72.75/45.62 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB59, bitIndex0)) | v120(constB59) | v90(constB59, bitIndex1) | v90(constB59, bitIndex2))),
% 72.75/45.62 inference(quant_inst,[status(thm)],[])).
% 72.75/45.62 tff(9562,plain,
% 72.75/45.62 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | v90(constB59, bitIndex2) | v120(constB59)),
% 72.75/45.62 inference(modus_ponens,[status(thm)],[9561, 9560])).
% 72.75/45.62 tff(9563,plain,
% 72.75/45.62 ((~v90(constB59, bitIndex0)) | v90(constB59, bitIndex1) | v90(constB59, bitIndex2)),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9562, 631, 9556])).
% 72.75/45.62 tff(9564,plain,
% 72.75/45.62 ($false),
% 72.75/45.62 inference(unit_resolution,[status(thm)],[9563, 9457, 9555, 9547])).
% 72.75/45.63 tff(9565,plain,(v100(constB60) | v120(constB59) | v90(constB60, bitIndex2) | v90(constB60, bitIndex1) | (~v90(constB60, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.75/45.63 tff(9566,plain,
% 72.75/45.63 (v120(constB59)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9565, 9449, 9539, 9447, 9538])).
% 72.75/45.63 tff(9567,plain,
% 72.75/45.63 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB59) | (~v120(constB59)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB59) | (~v120(constB59)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9568,plain,
% 72.75/45.63 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB59) | (~v120(constB59)))),
% 72.75/45.63 inference(quant_inst,[status(thm)],[])).
% 72.75/45.63 tff(9569,plain,
% 72.75/45.63 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB59) | (~v120(constB59))),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9568, 9567])).
% 72.75/45.63 tff(9570,plain,
% 72.75/45.63 (v118(constB59)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9569, 646, 9566])).
% 72.75/45.63 tff(9571,plain,
% 72.75/45.63 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB59) | (~v118(constB59)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB59) | (~v118(constB59)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9572,plain,
% 72.75/45.63 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB59) | (~v118(constB59)))),
% 72.75/45.63 inference(quant_inst,[status(thm)],[])).
% 72.75/45.63 tff(9573,plain,
% 72.75/45.63 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB59) | (~v118(constB59))),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9572, 9571])).
% 72.75/45.63 tff(9574,plain,
% 72.75/45.63 (v117(constB59)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9573, 243, 9570])).
% 72.75/45.63 tff(9575,plain,
% 72.75/45.63 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB59) | (~v117(constB59)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB59) | (~v117(constB59)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9576,plain,
% 72.75/45.63 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB59) | (~v117(constB59)))),
% 72.75/45.63 inference(quant_inst,[status(thm)],[])).
% 72.75/45.63 tff(9577,plain,
% 72.75/45.63 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB59) | (~v117(constB59))),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9576, 9575])).
% 72.75/45.63 tff(9578,plain,
% 72.75/45.63 (v116(constB59)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9577, 254, 9574])).
% 72.75/45.63 tff(9579,plain,
% 72.75/45.63 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9580,plain,
% 72.75/45.63 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))),
% 72.75/45.63 inference(quant_inst,[status(thm)],[])).
% 72.75/45.63 tff(9581,plain,
% 72.75/45.63 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60))),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9580, 9579])).
% 72.75/45.63 tff(9582,plain,
% 72.75/45.63 (~v104(constB60)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9581, 335, 9441, 9126])).
% 72.75/45.63 tff(9583,plain,
% 72.75/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9584,plain,
% 72.75/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))),
% 72.75/45.63 inference(quant_inst,[status(thm)],[])).
% 72.75/45.63 tff(9585,plain,
% 72.75/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v102(constB60) | v104(constB60)),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9584, 9583])).
% 72.75/45.63 tff(9586,plain,
% 72.75/45.63 (v102(constB60) | v104(constB60)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9585, 349, 9441])).
% 72.75/45.63 tff(9587,plain,
% 72.75/45.63 (v102(constB60)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9586, 9582])).
% 72.75/45.63 tff(9588,plain,
% 72.75/45.63 (v1(constB60) <=> v1(constB60)),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9589,axiom,(v1(constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_60_1')).
% 72.75/45.63 tff(9590,plain,
% 72.75/45.63 (v1(constB60)),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9589, 9588])).
% 72.75/45.63 tff(9591,plain,
% 72.75/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9592,plain,
% 72.75/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))),
% 72.75/45.63 inference(quant_inst,[status(thm)],[])).
% 72.75/45.63 tff(9593,plain,
% 72.75/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60))),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9592, 9591])).
% 72.75/45.63 tff(9594,plain,
% 72.75/45.63 (v101(constB60) | (~v102(constB60))),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9593, 367, 9441, 9590])).
% 72.75/45.63 tff(9595,plain,
% 72.75/45.63 (v101(constB60)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9594, 9587])).
% 72.75/45.63 tff(9596,plain,
% 72.75/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9597,plain,
% 72.75/45.63 (((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60)) <=> ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9598,plain,
% 72.75/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60))))),
% 72.75/45.63 inference(monotonicity,[status(thm)],[9597])).
% 72.75/45.63 tff(9599,plain,
% 72.75/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 72.75/45.63 inference(transitivity,[status(thm)],[9598, 9596])).
% 72.75/45.63 tff(9600,plain,
% 72.75/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))),
% 72.75/45.63 inference(quant_inst,[status(thm)],[])).
% 72.75/45.63 tff(9601,plain,
% 72.75/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60))),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9600, 9599])).
% 72.75/45.63 tff(9602,plain,
% 72.75/45.63 (v100(constB60) | (~v101(constB60)) | (~v110(constB60))),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9601, 382, 9441])).
% 72.75/45.63 tff(9603,plain,
% 72.75/45.63 (v100(constB60) | (~v110(constB60))),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9602, 9595])).
% 72.75/45.63 tff(9604,plain,
% 72.75/45.63 (~v110(constB60)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9603, 9449])).
% 72.75/45.63 tff(9605,plain,
% 72.75/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9606,plain,
% 72.75/45.63 (((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60)) <=> ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9607,plain,
% 72.75/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59))))),
% 72.75/45.63 inference(monotonicity,[status(thm)],[9606])).
% 72.75/45.63 tff(9608,plain,
% 72.75/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 72.75/45.63 inference(transitivity,[status(thm)],[9607, 9605])).
% 72.75/45.63 tff(9609,plain,
% 72.75/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))),
% 72.75/45.63 inference(quant_inst,[status(thm)],[])).
% 72.75/45.63 tff(9610,plain,
% 72.75/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59))),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9609, 9608])).
% 72.75/45.63 tff(9611,plain,
% 72.75/45.63 (v110(constB60) | (~v108(constB59))),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9610, 317, 9441])).
% 72.75/45.63 tff(9612,plain,
% 72.75/45.63 (~v108(constB59)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9611, 9604])).
% 72.75/45.63 tff(9613,plain,
% 72.75/45.63 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB59) | (~v112(constB59)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB59) | (~v112(constB59)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9614,plain,
% 72.75/45.63 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB59) | (~v112(constB59)))),
% 72.75/45.63 inference(quant_inst,[status(thm)],[])).
% 72.75/45.63 tff(9615,plain,
% 72.75/45.63 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB59) | (~v112(constB59))),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9614, 9613])).
% 72.75/45.63 tff(9616,plain,
% 72.75/45.63 (~v112(constB59)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9615, 210, 9612])).
% 72.75/45.63 tff(9617,plain,
% 72.75/45.63 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | (~v113(constB59)) | v112(constB59))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9618,plain,
% 72.75/45.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))),
% 72.75/45.63 inference(quant_inst,[status(thm)],[])).
% 72.75/45.63 tff(9619,plain,
% 72.75/45.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | (~v113(constB59)) | v112(constB59)),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9618, 9617])).
% 72.75/45.63 tff(9620,plain,
% 72.75/45.63 ((~v113(constB59)) | v112(constB59)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9619, 301, 9433])).
% 72.75/45.63 tff(9621,plain,
% 72.75/45.63 (~v113(constB59)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9620, 9616])).
% 72.75/45.63 tff(9622,plain,
% 72.75/45.63 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB59) | (~v114(constB59)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB59) | (~v114(constB59)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9623,plain,
% 72.75/45.63 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB59) | (~v114(constB59)))),
% 72.75/45.63 inference(quant_inst,[status(thm)],[])).
% 72.75/45.63 tff(9624,plain,
% 72.75/45.63 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB59) | (~v114(constB59))),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9623, 9622])).
% 72.75/45.63 tff(9625,plain,
% 72.75/45.63 (~v114(constB59)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9624, 287, 9621])).
% 72.75/45.63 tff(9626,plain,
% 72.75/45.63 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB59) | (~v115(constB59)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB59) | (~v115(constB59)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9627,plain,
% 72.75/45.63 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB59) | (~v115(constB59)))),
% 72.75/45.63 inference(quant_inst,[status(thm)],[])).
% 72.75/45.63 tff(9628,plain,
% 72.75/45.63 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB59) | (~v115(constB59))),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9627, 9626])).
% 72.75/45.63 tff(9629,plain,
% 72.75/45.63 (~v115(constB59)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9628, 276, 9625])).
% 72.75/45.63 tff(9630,plain,
% 72.75/45.63 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB59) | (~v116(constB59)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB59) | (~v116(constB59)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9631,plain,
% 72.75/45.63 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB59) | (~v116(constB59)))),
% 72.75/45.63 inference(quant_inst,[status(thm)],[])).
% 72.75/45.63 tff(9632,plain,
% 72.75/45.63 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB59) | (~v116(constB59))),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9631, 9630])).
% 72.75/45.63 tff(9633,plain,
% 72.75/45.63 ($false),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9632, 265, 9629, 9578])).
% 72.75/45.63 tff(9634,plain,(v100(constB60) | (~v90(constB60, bitIndex0)) | v90(constB60, bitIndex1) | v90(constB60, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 72.75/45.63 tff(9635,plain,
% 72.75/45.63 (v90(constB60, bitIndex2)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9634, 9449, 9447, 9537])).
% 72.75/45.63 tff(9636,plain,
% 72.75/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB59, bitIndex2) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB59, bitIndex2) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex2)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9637,plain,
% 72.75/45.63 (((~nextState(constB59, constB60)) | v90(constB59, bitIndex2) | v100(constB60) | (~v90(constB60, bitIndex2))) <=> (v90(constB59, bitIndex2) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex2)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9638,plain,
% 72.75/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex2) | v100(constB60) | (~v90(constB60, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB59, bitIndex2) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex2))))),
% 72.75/45.63 inference(monotonicity,[status(thm)],[9637])).
% 72.75/45.63 tff(9639,plain,
% 72.75/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex2) | v100(constB60) | (~v90(constB60, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB59, bitIndex2) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex2)))),
% 72.75/45.63 inference(transitivity,[status(thm)],[9638, 9636])).
% 72.75/45.63 tff(9640,plain,
% 72.75/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex2) | v100(constB60) | (~v90(constB60, bitIndex2)))),
% 72.75/45.63 inference(quant_inst,[status(thm)],[])).
% 72.75/45.63 tff(9641,plain,
% 72.75/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB59, bitIndex2) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex2))),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9640, 9639])).
% 72.75/45.63 tff(9642,plain,
% 72.75/45.63 (v90(constB59, bitIndex2) | v100(constB60) | (~v90(constB60, bitIndex2))),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9641, 88, 9441])).
% 72.75/45.63 tff(9643,plain,
% 72.75/45.63 (v90(constB59, bitIndex2)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9642, 9449, 9635])).
% 72.75/45.63 tff(9644,plain,
% 72.75/45.63 (v90(constB59, bitIndex0)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9554, 9449, 9537])).
% 72.75/45.63 tff(9645,plain,
% 72.75/45.63 (v124(constB59)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9424, 9644, 9643])).
% 72.75/45.63 tff(9646,plain,
% 72.75/45.63 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB59) | (~v124(constB59)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB59) | (~v124(constB59)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9647,plain,
% 72.75/45.63 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB59) | (~v124(constB59)))),
% 72.75/45.63 inference(quant_inst,[status(thm)],[])).
% 72.75/45.63 tff(9648,plain,
% 72.75/45.63 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB59) | (~v124(constB59))),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9647, 9646])).
% 72.75/45.63 tff(9649,plain,
% 72.75/45.63 (v114(constB59)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9648, 1718, 9645])).
% 72.75/45.63 tff(9650,plain,
% 72.75/45.63 ($false),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9624, 287, 9621, 9649])).
% 72.75/45.63 tff(9651,plain,(v100(constB60) | v90(constB60, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.75/45.63 tff(9652,plain,
% 72.75/45.63 (v100(constB60)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9651, 9447])).
% 72.75/45.63 tff(9653,assumption,(v130(constB59, bitIndex0)), introduced(assumption)).
% 72.75/45.63 tff(9654,plain,
% 72.75/45.63 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB59)) | (~v130(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB59)) | (~v130(constB59, bitIndex0)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9655,plain,
% 72.75/45.63 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB59)) | (~v130(constB59, bitIndex0)))),
% 72.75/45.63 inference(quant_inst,[status(thm)],[])).
% 72.75/45.63 tff(9656,plain,
% 72.75/45.63 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB59)) | (~v130(constB59, bitIndex0))),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9655, 9654])).
% 72.75/45.63 tff(9657,plain,
% 72.75/45.63 (~v120(constB59)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9656, 891, 9653])).
% 72.75/45.63 tff(9658,plain,
% 72.75/45.63 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB59)) | (~v130(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB59)) | (~v130(constB59, bitIndex0)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9659,plain,
% 72.75/45.63 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB59)) | (~v130(constB59, bitIndex0)))),
% 72.75/45.63 inference(quant_inst,[status(thm)],[])).
% 72.75/45.63 tff(9660,plain,
% 72.75/45.63 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB59)) | (~v130(constB59, bitIndex0))),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9659, 9658])).
% 72.75/45.63 tff(9661,plain,
% 72.75/45.63 (~v124(constB59)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9660, 1992, 9653])).
% 72.75/45.63 tff(9662,plain,
% 72.75/45.63 (~v90(constB59, bitIndex2)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9424, 9661, 9364])).
% 72.75/45.63 tff(9663,plain,
% 72.75/45.63 ((~v90(constB59, bitIndex0)) | v90(constB59, bitIndex2) | v120(constB59)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9562, 631, 9420])).
% 72.75/45.63 tff(9664,plain,
% 72.75/45.63 ($false),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9663, 9662, 9657, 9364])).
% 72.75/45.63 tff(9665,plain,(~v130(constB59, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.75/45.63 tff(9666,plain,
% 72.75/45.63 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9667,plain,
% 72.75/45.63 ((v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0))) <=> ((~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9668,plain,
% 72.75/45.63 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0)))),
% 72.75/45.63 inference(monotonicity,[status(thm)],[9667])).
% 72.75/45.63 tff(9669,plain,
% 72.75/45.63 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0))),
% 72.75/45.63 inference(transitivity,[status(thm)],[9668, 9666])).
% 72.75/45.63 tff(9670,plain,
% 72.75/45.63 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB59) | v130(constB59, bitIndex0) | (~v127(constB59, bitIndex0)))),
% 72.75/45.63 inference(quant_inst,[status(thm)],[])).
% 72.75/45.63 tff(9671,plain,
% 72.75/45.63 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB59, bitIndex0)) | v26(constB59) | v130(constB59, bitIndex0)),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9670, 9669])).
% 72.75/45.63 tff(9672,plain,
% 72.75/45.63 ((~v127(constB59, bitIndex0)) | v130(constB59, bitIndex0)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9671, 905, 9433])).
% 72.75/45.63 tff(9673,plain,
% 72.75/45.63 (~v127(constB59, bitIndex0)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9672, 9665])).
% 72.75/45.63 tff(9674,plain,
% 72.75/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9675,plain,
% 72.75/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0)))),
% 72.75/45.63 inference(quant_inst,[status(thm)],[])).
% 72.75/45.63 tff(9676,plain,
% 72.75/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0))),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9675, 9674])).
% 72.75/45.63 tff(9677,plain,
% 72.75/45.63 (v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0))),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9676, 923, 9441])).
% 72.75/45.63 tff(9678,plain,
% 72.75/45.63 (~v129(constB60, bitIndex0)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9677, 9673])).
% 72.75/45.63 tff(9679,plain,
% 72.75/45.63 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9680,plain,
% 72.75/45.63 (((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0)) <=> ((~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9681,plain,
% 72.75/45.63 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60))))),
% 72.75/45.63 inference(monotonicity,[status(thm)],[9680])).
% 72.75/45.63 tff(9682,plain,
% 72.75/45.63 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60)))),
% 72.75/45.63 inference(transitivity,[status(thm)],[9681, 9679])).
% 72.75/45.63 tff(9683,plain,
% 72.75/45.63 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0))),
% 72.75/45.63 inference(quant_inst,[status(thm)],[])).
% 72.75/45.63 tff(9684,plain,
% 72.75/45.63 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60))),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9683, 9682])).
% 72.75/45.63 tff(9685,plain,
% 72.75/45.63 ((~v90(constB60, bitIndex0)) | (~v100(constB60))),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9684, 938, 9678])).
% 72.75/45.63 tff(9686,plain,
% 72.75/45.63 ($false),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9685, 9652, 9537])).
% 72.75/45.63 tff(9687,plain,(v90(constB60, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.75/45.63 tff(9688,plain,
% 72.75/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB59, bitIndex1) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB59, bitIndex1) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex1)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9689,plain,
% 72.75/45.63 (((~nextState(constB59, constB60)) | v90(constB59, bitIndex1) | v100(constB60) | (~v90(constB60, bitIndex1))) <=> (v90(constB59, bitIndex1) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex1)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9690,plain,
% 72.75/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex1) | v100(constB60) | (~v90(constB60, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB59, bitIndex1) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex1))))),
% 72.75/45.63 inference(monotonicity,[status(thm)],[9689])).
% 72.75/45.63 tff(9691,plain,
% 72.75/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex1) | v100(constB60) | (~v90(constB60, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB59, bitIndex1) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex1)))),
% 72.75/45.63 inference(transitivity,[status(thm)],[9690, 9688])).
% 72.75/45.63 tff(9692,plain,
% 72.75/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB59, constB60)) | v90(constB59, bitIndex1) | v100(constB60) | (~v90(constB60, bitIndex1)))),
% 72.75/45.63 inference(quant_inst,[status(thm)],[])).
% 72.75/45.63 tff(9693,plain,
% 72.75/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB59, bitIndex1) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex1))),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9692, 9691])).
% 72.75/45.63 tff(9694,plain,
% 72.75/45.63 (v90(constB59, bitIndex1) | v100(constB60) | (~v90(constB60, bitIndex1))),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9693, 109, 9441])).
% 72.75/45.63 tff(9695,plain,
% 72.75/45.63 (v100(constB60)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9694, 9687, 9420])).
% 72.75/45.63 tff(9696,plain,
% 72.75/45.63 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9697,plain,
% 72.75/45.63 ((v90(constB60, bitIndex2) | (~v100(constB60)) | (~v129(constB60, bitIndex2))) <=> (v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9698,plain,
% 72.75/45.63 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~v100(constB60)) | (~v129(constB60, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60))))),
% 72.75/45.63 inference(monotonicity,[status(thm)],[9697])).
% 72.75/45.63 tff(9699,plain,
% 72.75/45.63 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~v100(constB60)) | (~v129(constB60, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60)))),
% 72.75/45.63 inference(transitivity,[status(thm)],[9698, 9696])).
% 72.75/45.63 tff(9700,plain,
% 72.75/45.63 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~v100(constB60)) | (~v129(constB60, bitIndex2)))),
% 72.75/45.63 inference(quant_inst,[status(thm)],[])).
% 72.75/45.63 tff(9701,plain,
% 72.75/45.63 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2)) | (~v100(constB60))),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9700, 9699])).
% 72.75/45.63 tff(9702,plain,
% 72.75/45.63 (v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2))),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9701, 1334, 9695])).
% 72.75/45.63 tff(9703,plain,
% 72.75/45.63 (v90(constB60, bitIndex2)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9702, 9446])).
% 72.75/45.63 tff(9704,plain,
% 72.75/45.63 ((~v1(constB61)) <=> (~v1(constB61))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9705,axiom,(~v1(constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_61_1_1')).
% 72.75/45.63 tff(9706,plain,
% 72.75/45.63 (~v1(constB61)),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9705, 9704])).
% 72.75/45.63 tff(9707,plain,
% 72.75/45.63 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9708,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_60_1')).
% 72.75/45.63 tff(9709,plain,
% 72.75/45.63 (nextState(constB60, constB61)),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9708, 9707])).
% 72.75/45.63 tff(9710,plain,
% 72.75/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9711,plain,
% 72.75/45.63 (((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61)) <=> (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9712,plain,
% 72.75/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61))))),
% 72.75/45.63 inference(monotonicity,[status(thm)],[9711])).
% 72.75/45.63 tff(9713,plain,
% 72.75/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 72.75/45.63 inference(transitivity,[status(thm)],[9712, 9710])).
% 72.75/45.63 tff(9714,plain,
% 72.75/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))),
% 72.75/45.63 inference(quant_inst,[status(thm)],[])).
% 72.75/45.63 tff(9715,plain,
% 72.75/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61))),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9714, 9713])).
% 72.75/45.63 tff(9716,plain,
% 72.75/45.63 (~v101(constB61)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9715, 56, 9709, 9706])).
% 72.75/45.63 tff(9717,plain,
% 72.75/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9718,plain,
% 72.75/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))),
% 72.75/45.63 inference(quant_inst,[status(thm)],[])).
% 72.75/45.63 tff(9719,plain,
% 72.75/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61))),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9718, 9717])).
% 72.75/45.63 tff(9720,plain,
% 72.75/45.63 (v101(constB61) | (~v100(constB61))),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9719, 73, 9709])).
% 72.75/45.63 tff(9721,plain,
% 72.75/45.63 (~v100(constB61)),
% 72.75/45.63 inference(unit_resolution,[status(thm)],[9720, 9716])).
% 72.75/45.63 tff(9722,plain,
% 72.75/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9723,plain,
% 72.75/45.63 (((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2)) <=> ((~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2))),
% 72.75/45.63 inference(rewrite,[status(thm)],[])).
% 72.75/45.63 tff(9724,plain,
% 72.75/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2)))),
% 72.75/45.63 inference(monotonicity,[status(thm)],[9723])).
% 72.75/45.63 tff(9725,plain,
% 72.75/45.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2))),
% 72.75/45.63 inference(transitivity,[status(thm)],[9724, 9722])).
% 72.75/45.63 tff(9726,plain,
% 72.75/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2))),
% 72.75/45.63 inference(quant_inst,[status(thm)],[])).
% 72.75/45.63 tff(9727,plain,
% 72.75/45.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex2)),
% 72.75/45.63 inference(modus_ponens,[status(thm)],[9726, 9725])).
% 72.75/45.64 tff(9728,plain,
% 72.75/45.64 ((~v90(constB60, bitIndex2)) | v100(constB61) | v90(constB61, bitIndex2)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9727, 1370, 9709])).
% 72.75/45.64 tff(9729,plain,
% 72.75/45.64 ((~v90(constB60, bitIndex2)) | v90(constB61, bitIndex2)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9728, 9721])).
% 72.75/45.64 tff(9730,plain,
% 72.75/45.64 (v90(constB61, bitIndex2)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9729, 9703])).
% 72.75/45.64 tff(9731,plain,
% 72.75/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9732,plain,
% 72.75/45.64 (((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1)) <=> ((~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9733,plain,
% 72.75/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1)))),
% 72.75/45.64 inference(monotonicity,[status(thm)],[9732])).
% 72.75/45.64 tff(9734,plain,
% 72.75/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))),
% 72.75/45.64 inference(transitivity,[status(thm)],[9733, 9731])).
% 72.75/45.64 tff(9735,plain,
% 72.75/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1))),
% 72.75/45.64 inference(quant_inst,[status(thm)],[])).
% 72.75/45.64 tff(9736,plain,
% 72.75/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1)),
% 72.75/45.64 inference(modus_ponens,[status(thm)],[9735, 9734])).
% 72.75/45.64 tff(9737,plain,
% 72.75/45.64 ((~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9736, 872, 9709])).
% 72.75/45.64 tff(9738,plain,
% 72.75/45.64 ((~v90(constB60, bitIndex1)) | v90(constB61, bitIndex1)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9737, 9721])).
% 72.75/45.64 tff(9739,plain,
% 72.75/45.64 (v90(constB61, bitIndex1)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9738, 9687])).
% 72.75/45.64 tff(9740,plain,
% 72.75/45.64 (~v90(constB60, bitIndex0)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9685, 9695])).
% 72.75/45.64 tff(9741,plain,
% 72.75/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0)))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9742,plain,
% 72.75/45.64 (((~nextState(constB60, constB61)) | v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0))) <=> (v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0)))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9743,plain,
% 72.75/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0))))),
% 72.75/45.64 inference(monotonicity,[status(thm)],[9742])).
% 72.75/45.64 tff(9744,plain,
% 72.75/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0)))),
% 72.75/45.64 inference(transitivity,[status(thm)],[9743, 9741])).
% 72.75/45.64 tff(9745,plain,
% 72.75/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0)))),
% 72.75/45.64 inference(quant_inst,[status(thm)],[])).
% 72.75/45.64 tff(9746,plain,
% 72.75/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0))),
% 72.75/45.64 inference(modus_ponens,[status(thm)],[9745, 9744])).
% 72.75/45.64 tff(9747,plain,
% 72.75/45.64 (v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0))),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9746, 130, 9709])).
% 72.75/45.64 tff(9748,plain,
% 72.75/45.64 (v90(constB60, bitIndex0) | (~v90(constB61, bitIndex0))),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9747, 9721])).
% 72.75/45.64 tff(9749,plain,
% 72.75/45.64 (~v90(constB61, bitIndex0)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9748, 9740])).
% 72.75/45.64 tff(9750,plain,
% 72.75/45.64 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)) | v125(constB61))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)) | v125(constB61))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9751,plain,
% 72.75/45.64 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)) | v125(constB61))),
% 72.75/45.64 inference(quant_inst,[status(thm)],[])).
% 72.75/45.64 tff(9752,plain,
% 72.75/45.64 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)) | v125(constB61)),
% 72.75/45.64 inference(modus_ponens,[status(thm)],[9751, 9750])).
% 72.75/45.64 tff(9753,plain,
% 72.75/45.64 ((~v90(constB61, bitIndex2)) | v125(constB61)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9752, 2036, 9749, 9739])).
% 72.75/45.64 tff(9754,plain,
% 72.75/45.64 (v125(constB61)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9753, 9730])).
% 72.75/45.64 tff(9755,plain,
% 72.75/45.64 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB61) | (~v125(constB61)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB61) | (~v125(constB61)))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9756,plain,
% 72.75/45.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB61) | (~v125(constB61)))),
% 72.75/45.64 inference(quant_inst,[status(thm)],[])).
% 72.75/45.64 tff(9757,plain,
% 72.75/45.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB61) | (~v125(constB61))),
% 72.75/45.64 inference(modus_ponens,[status(thm)],[9756, 9755])).
% 72.75/45.64 tff(9758,plain,
% 72.75/45.64 (v113(constB61)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9757, 2047, 9754])).
% 72.75/45.64 tff(9759,assumption,(v26(constB61)), introduced(assumption)).
% 72.75/45.64 tff(9760,plain,
% 72.75/45.64 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB61))),
% 72.75/45.64 inference(quant_inst,[status(thm)],[])).
% 72.75/45.64 tff(9761,plain,
% 72.75/45.64 ($false),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9760, 37, 9759])).
% 72.75/45.64 tff(9762,plain,(~v26(constB61)), inference(lemma,lemma(discharge,[]))).
% 72.75/45.64 tff(9763,plain,
% 72.75/45.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | v112(constB61) | (~v113(constB61)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9764,plain,
% 72.75/45.64 ((v26(constB61) | (~v113(constB61)) | v112(constB61)) <=> (v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9765,plain,
% 72.75/45.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | v112(constB61) | (~v113(constB61))))),
% 72.75/45.64 inference(monotonicity,[status(thm)],[9764])).
% 72.75/45.64 tff(9766,plain,
% 72.75/45.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 72.75/45.64 inference(transitivity,[status(thm)],[9765, 9763])).
% 72.75/45.64 tff(9767,plain,
% 72.75/45.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))),
% 72.75/45.64 inference(quant_inst,[status(thm)],[])).
% 72.75/45.64 tff(9768,plain,
% 72.75/45.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61))),
% 72.75/45.64 inference(modus_ponens,[status(thm)],[9767, 9766])).
% 72.75/45.64 tff(9769,plain,
% 72.75/45.64 (v112(constB61) | (~v113(constB61))),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9768, 301, 9762])).
% 72.75/45.64 tff(9770,plain,
% 72.75/45.64 (v112(constB61)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9769, 9758])).
% 72.75/45.64 tff(9771,plain,
% 72.75/45.64 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB61) | (~v112(constB61)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB61) | (~v112(constB61)))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9772,plain,
% 72.75/45.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB61) | (~v112(constB61)))),
% 72.75/45.64 inference(quant_inst,[status(thm)],[])).
% 72.75/45.64 tff(9773,plain,
% 72.75/45.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB61) | (~v112(constB61))),
% 72.75/45.64 inference(modus_ponens,[status(thm)],[9772, 9771])).
% 72.75/45.64 tff(9774,plain,
% 72.75/45.64 (v108(constB61)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9773, 210, 9770])).
% 72.75/45.64 tff(9775,plain,
% 72.75/45.64 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9776,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_61_1')).
% 72.75/45.64 tff(9777,plain,
% 72.75/45.64 (nextState(constB61, constB62)),
% 72.75/45.64 inference(modus_ponens,[status(thm)],[9776, 9775])).
% 72.75/45.64 tff(9778,plain,
% 72.75/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9779,plain,
% 72.75/45.64 (((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62)) <=> ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9780,plain,
% 72.75/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61))))),
% 72.75/45.64 inference(monotonicity,[status(thm)],[9779])).
% 72.75/45.64 tff(9781,plain,
% 72.75/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 72.75/45.64 inference(transitivity,[status(thm)],[9780, 9778])).
% 72.75/45.64 tff(9782,plain,
% 72.75/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))),
% 72.75/45.64 inference(quant_inst,[status(thm)],[])).
% 72.75/45.64 tff(9783,plain,
% 72.75/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61))),
% 72.75/45.64 inference(modus_ponens,[status(thm)],[9782, 9781])).
% 72.75/45.64 tff(9784,plain,
% 72.75/45.64 (v110(constB62) | (~v108(constB61))),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9783, 317, 9777])).
% 72.75/45.64 tff(9785,plain,
% 72.75/45.64 (v110(constB62)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9784, 9774])).
% 72.75/45.64 tff(9786,plain,
% 72.75/45.64 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9787,plain,
% 72.75/45.64 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))),
% 72.75/45.64 inference(quant_inst,[status(thm)],[])).
% 72.75/45.64 tff(9788,plain,
% 72.75/45.64 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62))),
% 72.75/45.64 inference(modus_ponens,[status(thm)],[9787, 9786])).
% 72.75/45.64 tff(9789,plain,
% 72.75/45.64 (~v104(constB62)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9788, 335, 9777, 9706])).
% 72.75/45.64 tff(9790,plain,
% 72.75/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9791,plain,
% 72.75/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))),
% 72.75/45.64 inference(quant_inst,[status(thm)],[])).
% 72.75/45.64 tff(9792,plain,
% 72.75/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v102(constB62) | v104(constB62)),
% 72.75/45.64 inference(modus_ponens,[status(thm)],[9791, 9790])).
% 72.75/45.64 tff(9793,plain,
% 72.75/45.64 (v102(constB62) | v104(constB62)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9792, 349, 9777])).
% 72.75/45.64 tff(9794,plain,
% 72.75/45.64 (v102(constB62)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9793, 9789])).
% 72.75/45.64 tff(9795,plain,
% 72.75/45.64 (v1(constB62) <=> v1(constB62)),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9796,axiom,(v1(constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_62_1')).
% 72.75/45.64 tff(9797,plain,
% 72.75/45.64 (v1(constB62)),
% 72.75/45.64 inference(modus_ponens,[status(thm)],[9796, 9795])).
% 72.75/45.64 tff(9798,plain,
% 72.75/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9799,plain,
% 72.75/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))),
% 72.75/45.64 inference(quant_inst,[status(thm)],[])).
% 72.75/45.64 tff(9800,plain,
% 72.75/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62))),
% 72.75/45.64 inference(modus_ponens,[status(thm)],[9799, 9798])).
% 72.75/45.64 tff(9801,plain,
% 72.75/45.64 (v101(constB62) | (~v102(constB62))),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9800, 367, 9777, 9797])).
% 72.75/45.64 tff(9802,plain,
% 72.75/45.64 (v101(constB62)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9801, 9794])).
% 72.75/45.64 tff(9803,plain,
% 72.75/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9804,plain,
% 72.75/45.64 (((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62)) <=> ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9805,plain,
% 72.75/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62))))),
% 72.75/45.64 inference(monotonicity,[status(thm)],[9804])).
% 72.75/45.64 tff(9806,plain,
% 72.75/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 72.75/45.64 inference(transitivity,[status(thm)],[9805, 9803])).
% 72.75/45.64 tff(9807,plain,
% 72.75/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))),
% 72.75/45.64 inference(quant_inst,[status(thm)],[])).
% 72.75/45.64 tff(9808,plain,
% 72.75/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62))),
% 72.75/45.64 inference(modus_ponens,[status(thm)],[9807, 9806])).
% 72.75/45.64 tff(9809,plain,
% 72.75/45.64 (v100(constB62) | (~v101(constB62)) | (~v110(constB62))),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9808, 382, 9777])).
% 72.75/45.64 tff(9810,plain,
% 72.75/45.64 (v100(constB62) | (~v110(constB62))),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9809, 9802])).
% 72.75/45.64 tff(9811,plain,
% 72.75/45.64 (v100(constB62)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9810, 9785])).
% 72.75/45.64 tff(9812,plain,
% 72.75/45.64 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB61, bitIndex2)) | (~v121(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB61, bitIndex2)) | (~v121(constB61)))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9813,plain,
% 72.75/45.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB61, bitIndex2)) | (~v121(constB61)))),
% 72.75/45.64 inference(quant_inst,[status(thm)],[])).
% 72.75/45.64 tff(9814,plain,
% 72.75/45.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB61, bitIndex2)) | (~v121(constB61))),
% 72.75/45.64 inference(modus_ponens,[status(thm)],[9813, 9812])).
% 72.75/45.64 tff(9815,plain,
% 72.75/45.64 (~v121(constB61)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9814, 1842, 9730])).
% 72.75/45.64 tff(9816,plain,
% 72.75/45.64 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v123(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v123(constB61)))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9817,plain,
% 72.75/45.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v123(constB61)))),
% 72.75/45.64 inference(quant_inst,[status(thm)],[])).
% 72.75/45.64 tff(9818,plain,
% 72.75/45.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v123(constB61))),
% 72.75/45.64 inference(modus_ponens,[status(thm)],[9817, 9816])).
% 72.75/45.64 tff(9819,plain,
% 72.75/45.64 (~v123(constB61)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9818, 1930, 9739])).
% 72.75/45.64 tff(9820,plain,
% 72.75/45.64 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB61)) | (~v90(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB61)) | (~v90(constB61, bitIndex1)))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9821,plain,
% 72.75/45.64 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB61)) | (~v90(constB61, bitIndex1)))),
% 72.75/45.64 inference(quant_inst,[status(thm)],[])).
% 72.75/45.64 tff(9822,plain,
% 72.75/45.64 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB61)) | (~v90(constB61, bitIndex1))),
% 72.75/45.64 inference(modus_ponens,[status(thm)],[9821, 9820])).
% 72.75/45.64 tff(9823,plain,
% 72.75/45.64 (~v119(constB61)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9822, 1908, 9739])).
% 72.75/45.64 tff(9824,plain,
% 72.75/45.64 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB61, bitIndex0) | (~v122(constB61)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB61, bitIndex0) | (~v122(constB61)))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9825,plain,
% 72.75/45.64 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB61, bitIndex0) | (~v122(constB61)))),
% 72.75/45.64 inference(quant_inst,[status(thm)],[])).
% 72.75/45.64 tff(9826,plain,
% 72.75/45.64 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB61, bitIndex0) | (~v122(constB61))),
% 72.75/45.64 inference(modus_ponens,[status(thm)],[9825, 9824])).
% 72.75/45.64 tff(9827,plain,
% 72.75/45.64 (~v122(constB61)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9826, 3734, 9749])).
% 72.75/45.64 tff(9828,plain,
% 72.75/45.64 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v120(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v120(constB61)))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9829,plain,
% 72.75/45.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v120(constB61)))),
% 72.75/45.64 inference(quant_inst,[status(thm)],[])).
% 72.75/45.64 tff(9830,plain,
% 72.75/45.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v120(constB61))),
% 72.75/45.64 inference(modus_ponens,[status(thm)],[9829, 9828])).
% 72.75/45.64 tff(9831,plain,
% 72.75/45.64 (~v120(constB61)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9830, 1919, 9739])).
% 72.75/45.64 tff(9832,plain,
% 72.75/45.64 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v124(constB61)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v124(constB61)))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9833,plain,
% 72.75/45.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB61, bitIndex1)) | (~v124(constB61)))),
% 72.75/45.64 inference(quant_inst,[status(thm)],[])).
% 72.75/45.64 tff(9834,plain,
% 72.75/45.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB61, bitIndex1)) | (~v124(constB61))),
% 72.75/45.64 inference(modus_ponens,[status(thm)],[9833, 9832])).
% 72.75/45.64 tff(9835,plain,
% 72.75/45.64 (~v124(constB61)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9834, 1941, 9739])).
% 72.75/45.64 tff(9836,plain,
% 72.75/45.64 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB61, bitIndex2)) | v124(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v123(constB61))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB61, bitIndex2)) | v124(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v123(constB61))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9837,plain,
% 72.75/45.64 ((v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex2))) <=> ((~v130(constB61, bitIndex2)) | v124(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v123(constB61))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9838,plain,
% 72.75/45.64 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB61, bitIndex2)) | v124(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v123(constB61)))),
% 72.75/45.64 inference(monotonicity,[status(thm)],[9837])).
% 72.75/45.64 tff(9839,plain,
% 72.75/45.64 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB61, bitIndex2)) | v124(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v123(constB61))),
% 72.75/45.64 inference(transitivity,[status(thm)],[9838, 9836])).
% 72.75/45.64 tff(9840,plain,
% 72.75/45.64 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex2)))),
% 72.75/45.64 inference(quant_inst,[status(thm)],[])).
% 72.75/45.64 tff(9841,plain,
% 72.75/45.64 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB61, bitIndex2)) | v124(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v123(constB61)),
% 72.75/45.64 inference(modus_ponens,[status(thm)],[9840, 9839])).
% 72.75/45.64 tff(9842,plain,
% 72.75/45.64 ((~v130(constB61, bitIndex2)) | v121(constB61)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9841, 1955, 9835, 9831, 9827, 9823, 9819])).
% 72.75/45.64 tff(9843,plain,
% 72.75/45.64 (~v130(constB61, bitIndex2)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9842, 9815])).
% 72.75/45.64 tff(9844,plain,
% 72.75/45.64 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9845,plain,
% 72.75/45.64 ((v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2))) <=> ((~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9846,plain,
% 72.75/45.64 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2)))),
% 72.75/45.64 inference(monotonicity,[status(thm)],[9845])).
% 72.75/45.64 tff(9847,plain,
% 72.75/45.64 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2))),
% 72.75/45.64 inference(transitivity,[status(thm)],[9846, 9844])).
% 72.75/45.64 tff(9848,plain,
% 72.75/45.64 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2)))),
% 72.75/45.64 inference(quant_inst,[status(thm)],[])).
% 72.75/45.64 tff(9849,plain,
% 72.75/45.64 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2)),
% 72.75/45.64 inference(modus_ponens,[status(thm)],[9848, 9847])).
% 72.75/45.64 tff(9850,plain,
% 72.75/45.64 ((~v127(constB61, bitIndex2)) | v130(constB61, bitIndex2)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9849, 470, 9762])).
% 72.75/45.64 tff(9851,plain,
% 72.75/45.64 (~v127(constB61, bitIndex2)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9850, 9843])).
% 72.75/45.64 tff(9852,plain,
% 72.75/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2)))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9853,plain,
% 72.75/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2)))),
% 72.75/45.64 inference(quant_inst,[status(thm)],[])).
% 72.75/45.64 tff(9854,plain,
% 72.75/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2))),
% 72.75/45.64 inference(modus_ponens,[status(thm)],[9853, 9852])).
% 72.75/45.64 tff(9855,plain,
% 72.75/45.64 (v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2))),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9854, 488, 9777])).
% 72.75/45.64 tff(9856,plain,
% 72.75/45.64 (~v129(constB62, bitIndex2)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9855, 9851])).
% 72.75/45.64 tff(9857,plain,
% 72.75/45.64 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62)))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9858,plain,
% 72.75/45.64 (((~v90(constB62, bitIndex2)) | (~v100(constB62)) | v129(constB62, bitIndex2)) <=> ((~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62)))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9859,plain,
% 72.75/45.64 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | (~v100(constB62)) | v129(constB62, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62))))),
% 72.75/45.64 inference(monotonicity,[status(thm)],[9858])).
% 72.75/45.64 tff(9860,plain,
% 72.75/45.64 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | (~v100(constB62)) | v129(constB62, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62)))),
% 72.75/45.64 inference(transitivity,[status(thm)],[9859, 9857])).
% 72.75/45.64 tff(9861,plain,
% 72.75/45.64 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | (~v100(constB62)) | v129(constB62, bitIndex2))),
% 72.75/45.64 inference(quant_inst,[status(thm)],[])).
% 72.75/45.64 tff(9862,plain,
% 72.75/45.64 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62))),
% 72.75/45.64 inference(modus_ponens,[status(thm)],[9861, 9860])).
% 72.75/45.64 tff(9863,plain,
% 72.75/45.64 ((~v90(constB62, bitIndex2)) | (~v100(constB62))),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9862, 503, 9856])).
% 72.75/45.64 tff(9864,plain,
% 72.75/45.64 (~v90(constB62, bitIndex2)),
% 72.75/45.64 inference(unit_resolution,[status(thm)],[9863, 9811])).
% 72.75/45.64 tff(9865,plain,
% 72.75/45.64 ((~v1(constB63)) <=> (~v1(constB63))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9866,axiom,(~v1(constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_63_1_1')).
% 72.75/45.64 tff(9867,plain,
% 72.75/45.64 (~v1(constB63)),
% 72.75/45.64 inference(modus_ponens,[status(thm)],[9866, 9865])).
% 72.75/45.64 tff(9868,plain,
% 72.75/45.64 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9869,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_62_1')).
% 72.75/45.64 tff(9870,plain,
% 72.75/45.64 (nextState(constB62, constB63)),
% 72.75/45.64 inference(modus_ponens,[status(thm)],[9869, 9868])).
% 72.75/45.64 tff(9871,plain,
% 72.75/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9872,plain,
% 72.75/45.64 (((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63)) <=> (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 72.75/45.64 inference(rewrite,[status(thm)],[])).
% 72.75/45.64 tff(9873,plain,
% 72.75/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63))))),
% 72.75/45.64 inference(monotonicity,[status(thm)],[9872])).
% 72.75/45.64 tff(9874,plain,
% 72.75/45.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 72.75/45.64 inference(transitivity,[status(thm)],[9873, 9871])).
% 72.75/45.64 tff(9875,plain,
% 72.75/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))),
% 72.75/45.64 inference(quant_inst,[status(thm)],[])).
% 72.75/45.64 tff(9876,plain,
% 72.75/45.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63))),
% 72.75/45.65 inference(modus_ponens,[status(thm)],[9875, 9874])).
% 72.75/45.65 tff(9877,plain,
% 72.75/45.65 (~v101(constB63)),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9876, 56, 9870, 9867])).
% 72.75/45.65 tff(9878,plain,
% 72.75/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))),
% 72.75/45.65 inference(rewrite,[status(thm)],[])).
% 72.75/45.65 tff(9879,plain,
% 72.75/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))),
% 72.75/45.65 inference(quant_inst,[status(thm)],[])).
% 72.75/45.65 tff(9880,plain,
% 72.75/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63))),
% 72.75/45.65 inference(modus_ponens,[status(thm)],[9879, 9878])).
% 72.75/45.65 tff(9881,plain,
% 72.75/45.65 (v101(constB63) | (~v100(constB63))),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9880, 73, 9870])).
% 72.75/45.65 tff(9882,plain,
% 72.75/45.65 (~v100(constB63)),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9881, 9877])).
% 72.75/45.65 tff(9883,plain,
% 72.75/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2)))),
% 72.75/45.65 inference(rewrite,[status(thm)],[])).
% 72.75/45.65 tff(9884,plain,
% 72.75/45.65 (((~nextState(constB62, constB63)) | v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2))) <=> (v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2)))),
% 72.75/45.65 inference(rewrite,[status(thm)],[])).
% 72.75/45.65 tff(9885,plain,
% 72.75/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2))))),
% 72.75/45.65 inference(monotonicity,[status(thm)],[9884])).
% 72.75/45.65 tff(9886,plain,
% 72.75/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2)))),
% 72.75/45.65 inference(transitivity,[status(thm)],[9885, 9883])).
% 72.75/45.65 tff(9887,plain,
% 72.75/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2)))),
% 72.75/45.65 inference(quant_inst,[status(thm)],[])).
% 72.75/45.65 tff(9888,plain,
% 72.75/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2))),
% 72.75/45.65 inference(modus_ponens,[status(thm)],[9887, 9886])).
% 72.75/45.65 tff(9889,plain,
% 72.75/45.65 (v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2))),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9888, 88, 9870])).
% 72.75/45.65 tff(9890,plain,
% 72.75/45.65 (v90(constB62, bitIndex2) | (~v90(constB63, bitIndex2))),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9889, 9882])).
% 72.75/45.65 tff(9891,plain,
% 72.75/45.65 (~v90(constB63, bitIndex2)),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9890, 9864])).
% 72.75/45.65 tff(9892,plain,
% 72.75/45.65 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB61, bitIndex1)) | v124(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v123(constB61))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB61, bitIndex1)) | v124(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v123(constB61))),
% 72.75/45.65 inference(rewrite,[status(thm)],[])).
% 72.75/45.65 tff(9893,plain,
% 72.75/45.65 ((v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex1))) <=> ((~v130(constB61, bitIndex1)) | v124(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v123(constB61))),
% 72.75/45.65 inference(rewrite,[status(thm)],[])).
% 72.75/45.65 tff(9894,plain,
% 72.75/45.65 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB61, bitIndex1)) | v124(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v123(constB61)))),
% 72.75/45.65 inference(monotonicity,[status(thm)],[9893])).
% 72.75/45.65 tff(9895,plain,
% 72.75/45.65 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB61, bitIndex1)) | v124(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v123(constB61))),
% 72.75/45.65 inference(transitivity,[status(thm)],[9894, 9892])).
% 72.75/45.65 tff(9896,plain,
% 72.75/45.65 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex1)))),
% 72.75/45.65 inference(quant_inst,[status(thm)],[])).
% 72.75/45.65 tff(9897,plain,
% 72.75/45.65 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB61, bitIndex1)) | v124(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v123(constB61)),
% 72.75/45.65 inference(modus_ponens,[status(thm)],[9896, 9895])).
% 72.75/45.65 tff(9898,plain,
% 72.75/45.65 ((~v130(constB61, bitIndex1)) | v121(constB61)),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9897, 2146, 9835, 9831, 9827, 9823, 9819])).
% 72.75/45.65 tff(9899,plain,
% 72.75/45.65 (~v130(constB61, bitIndex1)),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9898, 9815])).
% 72.75/45.65 tff(9900,plain,
% 72.75/45.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))),
% 72.75/45.65 inference(rewrite,[status(thm)],[])).
% 72.75/45.65 tff(9901,plain,
% 72.75/45.65 ((v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1))) <=> ((~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))),
% 72.75/45.65 inference(rewrite,[status(thm)],[])).
% 72.75/45.65 tff(9902,plain,
% 72.75/45.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1)))),
% 72.75/45.65 inference(monotonicity,[status(thm)],[9901])).
% 72.75/45.65 tff(9903,plain,
% 72.75/45.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))),
% 72.75/45.65 inference(transitivity,[status(thm)],[9902, 9900])).
% 72.75/45.65 tff(9904,plain,
% 72.75/45.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1)))),
% 72.75/45.65 inference(quant_inst,[status(thm)],[])).
% 72.75/45.65 tff(9905,plain,
% 72.75/45.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1)),
% 72.75/45.65 inference(modus_ponens,[status(thm)],[9904, 9903])).
% 72.75/45.65 tff(9906,plain,
% 72.75/45.65 ((~v127(constB61, bitIndex1)) | v130(constB61, bitIndex1)),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9905, 555, 9762])).
% 72.75/45.65 tff(9907,plain,
% 72.75/45.65 (~v127(constB61, bitIndex1)),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9906, 9899])).
% 72.75/45.65 tff(9908,plain,
% 72.75/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1)))),
% 72.75/45.65 inference(rewrite,[status(thm)],[])).
% 72.75/45.65 tff(9909,plain,
% 72.75/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1)))),
% 72.75/45.65 inference(quant_inst,[status(thm)],[])).
% 72.75/45.65 tff(9910,plain,
% 72.75/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1))),
% 72.75/45.65 inference(modus_ponens,[status(thm)],[9909, 9908])).
% 72.75/45.65 tff(9911,plain,
% 72.75/45.65 (v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1))),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9910, 588, 9777])).
% 72.75/45.65 tff(9912,plain,
% 72.75/45.65 (~v129(constB62, bitIndex1)),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9911, 9907])).
% 72.75/45.65 tff(9913,plain,
% 72.75/45.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))),
% 72.75/45.65 inference(rewrite,[status(thm)],[])).
% 72.75/45.65 tff(9914,plain,
% 72.75/45.65 (((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1)) <=> ((~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))),
% 72.75/45.65 inference(rewrite,[status(thm)],[])).
% 72.75/45.65 tff(9915,plain,
% 72.75/45.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62))))),
% 72.75/45.65 inference(monotonicity,[status(thm)],[9914])).
% 72.75/45.65 tff(9916,plain,
% 72.75/45.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))),
% 72.75/45.65 inference(transitivity,[status(thm)],[9915, 9913])).
% 72.75/45.65 tff(9917,plain,
% 72.75/45.65 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1))),
% 72.75/45.65 inference(quant_inst,[status(thm)],[])).
% 72.75/45.65 tff(9918,plain,
% 72.75/45.65 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62))),
% 72.75/45.65 inference(modus_ponens,[status(thm)],[9917, 9916])).
% 72.75/45.65 tff(9919,plain,
% 72.75/45.65 ((~v90(constB62, bitIndex1)) | (~v100(constB62))),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9918, 603, 9912])).
% 72.75/45.65 tff(9920,plain,
% 72.75/45.65 (~v90(constB62, bitIndex1)),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9919, 9811])).
% 72.75/45.65 tff(9921,plain,
% 72.75/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 72.75/45.65 inference(rewrite,[status(thm)],[])).
% 72.75/45.65 tff(9922,plain,
% 72.75/45.65 (((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1))) <=> (v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 72.75/45.65 inference(rewrite,[status(thm)],[])).
% 72.75/45.65 tff(9923,plain,
% 72.75/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1))))),
% 72.75/45.65 inference(monotonicity,[status(thm)],[9922])).
% 72.75/45.65 tff(9924,plain,
% 72.75/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 72.75/45.65 inference(transitivity,[status(thm)],[9923, 9921])).
% 72.75/45.65 tff(9925,plain,
% 72.75/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 72.75/45.65 inference(quant_inst,[status(thm)],[])).
% 72.75/45.65 tff(9926,plain,
% 72.75/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1))),
% 72.75/45.65 inference(modus_ponens,[status(thm)],[9925, 9924])).
% 72.75/45.65 tff(9927,plain,
% 72.75/45.65 (v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1))),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9926, 109, 9870])).
% 72.75/45.65 tff(9928,plain,
% 72.75/45.65 (v90(constB62, bitIndex1) | (~v90(constB63, bitIndex1))),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9927, 9882])).
% 72.75/45.65 tff(9929,plain,
% 72.75/45.65 (~v90(constB63, bitIndex1)),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9928, 9920])).
% 72.75/45.65 tff(9930,plain,
% 72.75/45.65 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB61, bitIndex0) | v124(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v123(constB61))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB61, bitIndex0) | v124(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v123(constB61))),
% 72.75/45.65 inference(rewrite,[status(thm)],[])).
% 72.75/45.65 tff(9931,plain,
% 72.75/45.65 ((v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, bitIndex0)) <=> (v130(constB61, bitIndex0) | v124(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v123(constB61))),
% 72.75/45.65 inference(rewrite,[status(thm)],[])).
% 72.75/45.65 tff(9932,plain,
% 72.75/45.65 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB61, bitIndex0) | v124(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v123(constB61)))),
% 72.75/45.65 inference(monotonicity,[status(thm)],[9931])).
% 72.75/45.65 tff(9933,plain,
% 72.75/45.65 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB61, bitIndex0) | v124(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v123(constB61))),
% 72.75/45.65 inference(transitivity,[status(thm)],[9932, 9930])).
% 72.75/45.65 tff(9934,plain,
% 72.75/45.65 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, bitIndex0))),
% 72.75/45.65 inference(quant_inst,[status(thm)],[])).
% 72.75/45.65 tff(9935,plain,
% 72.75/45.65 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB61, bitIndex0) | v124(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v123(constB61)),
% 72.75/45.65 inference(modus_ponens,[status(thm)],[9934, 9933])).
% 72.75/45.65 tff(9936,plain,
% 72.75/45.65 (v130(constB61, bitIndex0) | v121(constB61)),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9935, 2192, 9835, 9831, 9827, 9823, 9819])).
% 72.75/45.65 tff(9937,plain,
% 72.75/45.65 (v130(constB61, bitIndex0)),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9936, 9815])).
% 72.75/45.65 tff(9938,plain,
% 72.75/45.65 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB61) | (~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB61) | (~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0))),
% 72.75/45.65 inference(rewrite,[status(thm)],[])).
% 72.75/45.65 tff(9939,plain,
% 72.75/45.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB61) | (~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0))),
% 72.75/45.65 inference(quant_inst,[status(thm)],[])).
% 72.75/45.65 tff(9940,plain,
% 72.75/45.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB61) | (~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0)),
% 72.75/45.65 inference(modus_ponens,[status(thm)],[9939, 9938])).
% 72.75/45.65 tff(9941,plain,
% 72.75/45.65 ((~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0)),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9940, 179, 9762])).
% 72.75/45.65 tff(9942,plain,
% 72.75/45.65 (v127(constB61, bitIndex0)),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9941, 9937])).
% 72.75/45.65 tff(9943,plain,
% 72.75/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB61, constB62)) | (~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB61, constB62)) | (~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0))),
% 72.75/45.65 inference(rewrite,[status(thm)],[])).
% 72.75/45.65 tff(9944,plain,
% 72.75/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB61, constB62)) | (~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0))),
% 72.75/45.65 inference(quant_inst,[status(thm)],[])).
% 72.75/45.65 tff(9945,plain,
% 72.75/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB61, constB62)) | (~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0)),
% 72.75/45.65 inference(modus_ponens,[status(thm)],[9944, 9943])).
% 72.75/45.65 tff(9946,plain,
% 72.75/45.65 ((~v127(constB61, bitIndex0)) | v129(constB62, bitIndex0)),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9945, 197, 9777])).
% 72.75/45.65 tff(9947,plain,
% 72.75/45.65 (v129(constB62, bitIndex0)),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9946, 9942])).
% 72.75/45.65 tff(9948,plain,
% 72.75/45.65 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62)))),
% 72.75/45.65 inference(rewrite,[status(thm)],[])).
% 72.75/45.65 tff(9949,plain,
% 72.75/45.65 ((v90(constB62, bitIndex0) | (~v100(constB62)) | (~v129(constB62, bitIndex0))) <=> (v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62)))),
% 72.75/45.65 inference(rewrite,[status(thm)],[])).
% 72.75/45.65 tff(9950,plain,
% 72.75/45.65 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~v100(constB62)) | (~v129(constB62, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62))))),
% 72.75/45.65 inference(monotonicity,[status(thm)],[9949])).
% 72.75/45.65 tff(9951,plain,
% 72.75/45.65 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~v100(constB62)) | (~v129(constB62, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62)))),
% 72.75/45.65 inference(transitivity,[status(thm)],[9950, 9948])).
% 72.75/45.65 tff(9952,plain,
% 72.75/45.65 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~v100(constB62)) | (~v129(constB62, bitIndex0)))),
% 72.75/45.65 inference(quant_inst,[status(thm)],[])).
% 72.75/45.65 tff(9953,plain,
% 72.75/45.65 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0)) | (~v100(constB62))),
% 72.75/45.65 inference(modus_ponens,[status(thm)],[9952, 9951])).
% 72.75/45.65 tff(9954,plain,
% 72.75/45.65 (v90(constB62, bitIndex0) | (~v100(constB62))),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9953, 401, 9947])).
% 72.75/45.65 tff(9955,plain,
% 72.75/45.65 (v90(constB62, bitIndex0)),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9954, 9811])).
% 72.75/45.65 tff(9956,plain,
% 72.75/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0))),
% 72.75/45.65 inference(rewrite,[status(thm)],[])).
% 72.75/45.65 tff(9957,plain,
% 72.75/45.65 (((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0)) <=> ((~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0))),
% 72.75/45.65 inference(rewrite,[status(thm)],[])).
% 72.75/45.65 tff(9958,plain,
% 72.75/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0)))),
% 72.75/45.65 inference(monotonicity,[status(thm)],[9957])).
% 72.75/45.65 tff(9959,plain,
% 72.75/45.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0))),
% 72.75/45.65 inference(transitivity,[status(thm)],[9958, 9956])).
% 72.75/45.65 tff(9960,plain,
% 72.75/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0))),
% 72.75/45.65 inference(quant_inst,[status(thm)],[])).
% 72.75/45.65 tff(9961,plain,
% 72.75/45.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex0)),
% 72.75/45.65 inference(modus_ponens,[status(thm)],[9960, 9959])).
% 72.75/45.65 tff(9962,plain,
% 72.75/45.65 ((~v90(constB62, bitIndex0)) | v100(constB63) | v90(constB63, bitIndex0)),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9961, 437, 9870])).
% 72.75/45.65 tff(9963,plain,
% 72.75/45.65 ((~v90(constB62, bitIndex0)) | v90(constB63, bitIndex0)),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9962, 9882])).
% 72.75/45.65 tff(9964,plain,
% 72.75/45.65 (v90(constB63, bitIndex0)),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9963, 9955])).
% 72.75/45.65 tff(9965,plain,
% 72.75/45.65 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63))),
% 72.75/45.65 inference(rewrite,[status(thm)],[])).
% 72.75/45.65 tff(9966,plain,
% 72.75/45.65 (((~v90(constB63, bitIndex0)) | v120(constB63) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2)) <=> ((~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63))),
% 72.75/45.65 inference(rewrite,[status(thm)],[])).
% 72.75/45.65 tff(9967,plain,
% 72.75/45.65 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB63, bitIndex0)) | v120(constB63) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63)))),
% 72.75/45.65 inference(monotonicity,[status(thm)],[9966])).
% 72.75/45.65 tff(9968,plain,
% 72.75/45.65 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB63, bitIndex0)) | v120(constB63) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63))),
% 72.75/45.65 inference(transitivity,[status(thm)],[9967, 9965])).
% 72.75/45.65 tff(9969,plain,
% 72.75/45.65 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB63, bitIndex0)) | v120(constB63) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2))),
% 72.75/45.65 inference(quant_inst,[status(thm)],[])).
% 72.75/45.65 tff(9970,plain,
% 72.75/45.65 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63)),
% 72.75/45.65 inference(modus_ponens,[status(thm)],[9969, 9968])).
% 72.75/45.65 tff(9971,plain,
% 72.75/45.65 (v120(constB63)),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9970, 631, 9964, 9929, 9891])).
% 72.75/45.65 tff(9972,plain,
% 72.75/45.65 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB63)) | (~v130(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB63)) | (~v130(constB63, bitIndex2)))),
% 72.75/45.65 inference(rewrite,[status(thm)],[])).
% 72.75/45.65 tff(9973,plain,
% 72.75/45.65 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB63)) | (~v130(constB63, bitIndex2)))),
% 72.75/45.65 inference(quant_inst,[status(thm)],[])).
% 72.75/45.65 tff(9974,plain,
% 72.75/45.65 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB63)) | (~v130(constB63, bitIndex2))),
% 72.75/45.65 inference(modus_ponens,[status(thm)],[9973, 9972])).
% 72.75/45.65 tff(9975,plain,
% 72.75/45.65 (~v130(constB63, bitIndex2)),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9974, 730, 9971])).
% 72.75/45.65 tff(9976,assumption,(v26(constB63)), introduced(assumption)).
% 72.75/45.65 tff(9977,plain,
% 72.75/45.65 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB63))),
% 72.75/45.65 inference(quant_inst,[status(thm)],[])).
% 72.75/45.65 tff(9978,plain,
% 72.75/45.65 ($false),
% 72.75/45.65 inference(unit_resolution,[status(thm)],[9977, 37, 9976])).
% 72.75/45.65 tff(9979,plain,(~v26(constB63)), inference(lemma,lemma(discharge,[]))).
% 72.75/45.65 tff(9980,plain,
% 72.75/45.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2))),
% 72.75/45.65 inference(rewrite,[status(thm)],[])).
% 72.75/45.65 tff(9981,plain,
% 72.75/45.65 ((v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2))) <=> ((~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2))),
% 72.75/45.65 inference(rewrite,[status(thm)],[])).
% 72.75/45.65 tff(9982,plain,
% 72.75/45.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2)))),
% 72.75/45.65 inference(monotonicity,[status(thm)],[9981])).
% 72.75/45.65 tff(9983,plain,
% 72.75/45.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2))),
% 72.75/45.65 inference(transitivity,[status(thm)],[9982, 9980])).
% 72.75/45.65 tff(9984,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2)))),
% 72.75/45.66 inference(quant_inst,[status(thm)],[])).
% 72.75/45.66 tff(9985,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2)),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[9984, 9983])).
% 72.75/45.66 tff(9986,plain,
% 72.75/45.66 ((~v127(constB63, bitIndex2)) | v130(constB63, bitIndex2)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[9985, 470, 9979])).
% 72.75/45.66 tff(9987,plain,
% 72.75/45.66 (~v127(constB63, bitIndex2)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[9986, 9975])).
% 72.75/45.66 tff(9988,plain,
% 72.75/45.66 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(9989,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_63_1')).
% 72.75/45.66 tff(9990,plain,
% 72.75/45.66 (nextState(constB63, constB64)),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[9989, 9988])).
% 72.75/45.66 tff(9991,plain,
% 72.75/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2)))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(9992,plain,
% 72.75/45.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2)))),
% 72.75/45.66 inference(quant_inst,[status(thm)],[])).
% 72.75/45.66 tff(9993,plain,
% 72.75/45.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2))),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[9992, 9991])).
% 72.75/45.66 tff(9994,plain,
% 72.75/45.66 (v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2))),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[9993, 488, 9990])).
% 72.75/45.66 tff(9995,plain,
% 72.75/45.66 (~v129(constB64, bitIndex2)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[9994, 9987])).
% 72.75/45.66 tff(9996,assumption,(~v113(constB63)), introduced(assumption)).
% 72.75/45.66 tff(9997,plain,
% 72.75/45.66 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB63) | (~v114(constB63)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB63) | (~v114(constB63)))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(9998,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB63) | (~v114(constB63)))),
% 72.75/45.66 inference(quant_inst,[status(thm)],[])).
% 72.75/45.66 tff(9999,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB63) | (~v114(constB63))),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[9998, 9997])).
% 72.75/45.66 tff(10000,plain,
% 72.75/45.66 (~v114(constB63)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[9999, 287, 9996])).
% 72.75/45.66 tff(10001,plain,
% 72.75/45.66 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB63) | (~v115(constB63)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB63) | (~v115(constB63)))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(10002,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB63) | (~v115(constB63)))),
% 72.75/45.66 inference(quant_inst,[status(thm)],[])).
% 72.75/45.66 tff(10003,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB63) | (~v115(constB63))),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[10002, 10001])).
% 72.75/45.66 tff(10004,plain,
% 72.75/45.66 (~v115(constB63)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10003, 276, 10000])).
% 72.75/45.66 tff(10005,plain,
% 72.75/45.66 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB63) | (~v116(constB63)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB63) | (~v116(constB63)))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(10006,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB63) | (~v116(constB63)))),
% 72.75/45.66 inference(quant_inst,[status(thm)],[])).
% 72.75/45.66 tff(10007,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB63) | (~v116(constB63))),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[10006, 10005])).
% 72.75/45.66 tff(10008,plain,
% 72.75/45.66 (~v116(constB63)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10007, 265, 10004])).
% 72.75/45.66 tff(10009,plain,
% 72.75/45.66 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB63) | (~v122(constB63)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB63) | (~v122(constB63)))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(10010,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB63) | (~v122(constB63)))),
% 72.75/45.66 inference(quant_inst,[status(thm)],[])).
% 72.75/45.66 tff(10011,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB63) | (~v122(constB63))),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[10010, 10009])).
% 72.75/45.66 tff(10012,plain,
% 72.75/45.66 (~v122(constB63)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10011, 1214, 10008])).
% 72.75/45.66 tff(10013,assumption,(~v114(constB63)), introduced(assumption)).
% 72.75/45.66 tff(10014,plain,
% 72.75/45.66 (~v115(constB63)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10003, 276, 10013])).
% 72.75/45.66 tff(10015,plain,
% 72.75/45.66 (~v116(constB63)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10007, 265, 10014])).
% 72.75/45.66 tff(10016,plain,
% 72.75/45.66 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB63) | (~v117(constB63)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB63) | (~v117(constB63)))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(10017,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB63) | (~v117(constB63)))),
% 72.75/45.66 inference(quant_inst,[status(thm)],[])).
% 72.75/45.66 tff(10018,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB63) | (~v117(constB63))),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[10017, 10016])).
% 72.75/45.66 tff(10019,plain,
% 72.75/45.66 (~v117(constB63)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10018, 254, 10015])).
% 72.75/45.66 tff(10020,plain,
% 72.75/45.66 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB63) | (~v118(constB63)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB63) | (~v118(constB63)))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(10021,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB63) | (~v118(constB63)))),
% 72.75/45.66 inference(quant_inst,[status(thm)],[])).
% 72.75/45.66 tff(10022,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB63) | (~v118(constB63))),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[10021, 10020])).
% 72.75/45.66 tff(10023,plain,
% 72.75/45.66 (~v118(constB63)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10022, 243, 10019])).
% 72.75/45.66 tff(10024,plain,
% 72.75/45.66 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB63) | (~v120(constB63)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB63) | (~v120(constB63)))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(10025,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB63) | (~v120(constB63)))),
% 72.75/45.66 inference(quant_inst,[status(thm)],[])).
% 72.75/45.66 tff(10026,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB63) | (~v120(constB63))),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[10025, 10024])).
% 72.75/45.66 tff(10027,plain,
% 72.75/45.66 (~v120(constB63)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10026, 646, 10023])).
% 72.75/45.66 tff(10028,plain,
% 72.75/45.66 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB63) | (~v123(constB63)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB63) | (~v123(constB63)))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(10029,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB63) | (~v123(constB63)))),
% 72.75/45.66 inference(quant_inst,[status(thm)],[])).
% 72.75/45.66 tff(10030,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB63) | (~v123(constB63))),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[10029, 10028])).
% 72.75/45.66 tff(10031,plain,
% 72.75/45.66 (~v123(constB63)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10030, 1488, 10014])).
% 72.75/45.66 tff(10032,assumption,(~v90(constB63, bitIndex1)), introduced(assumption)).
% 72.75/45.66 tff(10033,plain,
% 72.75/45.66 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB63) | (~v119(constB63)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB63) | (~v119(constB63)))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(10034,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB63) | (~v119(constB63)))),
% 72.75/45.66 inference(quant_inst,[status(thm)],[])).
% 72.75/45.66 tff(10035,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB63) | (~v119(constB63))),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[10034, 10033])).
% 72.75/45.66 tff(10036,plain,
% 72.75/45.66 (~v119(constB63)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10035, 232, 10023])).
% 72.75/45.66 tff(10037,assumption,(~v119(constB63)), introduced(assumption)).
% 72.75/45.66 tff(10038,assumption,(~v90(constB63, bitIndex0)), introduced(assumption)).
% 72.75/45.66 tff(10039,assumption,(~v123(constB63)), introduced(assumption)).
% 72.75/45.66 tff(10040,plain,
% 72.75/45.66 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)) | v123(constB63))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)) | v123(constB63))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(10041,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)) | v123(constB63))),
% 72.75/45.66 inference(quant_inst,[status(thm)],[])).
% 72.75/45.66 tff(10042,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)) | v123(constB63)),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[10041, 10040])).
% 72.75/45.66 tff(10043,plain,
% 72.75/45.66 (v90(constB63, bitIndex0) | (~v90(constB63, bitIndex2)) | v123(constB63)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10042, 1477, 10032])).
% 72.75/45.66 tff(10044,plain,
% 72.75/45.66 (~v90(constB63, bitIndex2)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10043, 10038, 10039])).
% 72.75/45.66 tff(10045,plain,
% 72.75/45.66 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB63) | v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB63) | v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(10046,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB63) | v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2))),
% 72.75/45.66 inference(quant_inst,[status(thm)],[])).
% 72.75/45.66 tff(10047,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB63) | v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2)),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[10046, 10045])).
% 72.75/45.66 tff(10048,plain,
% 72.75/45.66 (v119(constB63) | v90(constB63, bitIndex0) | v90(constB63, bitIndex2)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10047, 151, 10032])).
% 72.75/45.66 tff(10049,plain,
% 72.75/45.66 ($false),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10048, 10044, 10038, 10037])).
% 72.75/45.66 tff(10050,plain,(v90(constB63, bitIndex0) | v119(constB63) | v90(constB63, bitIndex1) | v123(constB63)), inference(lemma,lemma(discharge,[]))).
% 72.75/45.66 tff(10051,plain,
% 72.75/45.66 (v90(constB63, bitIndex0)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10050, 10036, 10032, 10031])).
% 72.75/45.66 tff(10052,plain,
% 72.75/45.66 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB63) | (~v124(constB63)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB63) | (~v124(constB63)))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(10053,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB63) | (~v124(constB63)))),
% 72.75/45.66 inference(quant_inst,[status(thm)],[])).
% 72.75/45.66 tff(10054,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB63) | (~v124(constB63))),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[10053, 10052])).
% 72.75/45.66 tff(10055,plain,
% 72.75/45.66 (~v124(constB63)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10054, 1718, 10013])).
% 72.75/45.66 tff(10056,plain,
% 72.75/45.66 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)) | v124(constB63))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)) | v124(constB63))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(10057,plain,
% 72.75/45.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)) | v124(constB63))),
% 72.75/45.66 inference(quant_inst,[status(thm)],[])).
% 72.75/45.66 tff(10058,plain,
% 72.75/45.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)) | v124(constB63)),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[10057, 10056])).
% 72.75/45.66 tff(10059,plain,
% 72.75/45.66 ((~v90(constB63, bitIndex0)) | (~v90(constB63, bitIndex2)) | v124(constB63)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10058, 1707, 10032])).
% 72.75/45.66 tff(10060,plain,
% 72.75/45.66 (~v90(constB63, bitIndex2)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10059, 10051, 10055])).
% 72.75/45.66 tff(10061,plain,
% 72.75/45.66 ((~v90(constB63, bitIndex0)) | v90(constB63, bitIndex2) | v120(constB63)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[9970, 631, 10032])).
% 72.75/45.66 tff(10062,plain,
% 72.75/45.66 ($false),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10061, 10060, 10051, 10027])).
% 72.75/45.66 tff(10063,plain,(v114(constB63) | v90(constB63, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.75/45.66 tff(10064,plain,
% 72.75/45.66 (v90(constB63, bitIndex1)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10063, 10000])).
% 72.75/45.66 tff(10065,plain,
% 72.75/45.66 (~v117(constB63)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10018, 254, 10008])).
% 72.75/45.66 tff(10066,plain,
% 72.75/45.66 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB63) | (~v121(constB63)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB63) | (~v121(constB63)))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(10067,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB63) | (~v121(constB63)))),
% 72.75/45.66 inference(quant_inst,[status(thm)],[])).
% 72.75/45.66 tff(10068,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB63) | (~v121(constB63))),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[10067, 10066])).
% 72.75/45.66 tff(10069,plain,
% 72.75/45.66 (~v121(constB63)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10068, 976, 10065])).
% 72.75/45.66 tff(10070,assumption,(~v122(constB63)), introduced(assumption)).
% 72.75/45.66 tff(10071,assumption,(~v90(constB63, bitIndex2)), introduced(assumption)).
% 72.75/45.66 tff(10072,assumption,(v90(constB63, bitIndex1)), introduced(assumption)).
% 72.75/45.66 tff(10073,assumption,(~v121(constB63)), introduced(assumption)).
% 72.75/45.66 tff(10074,plain,
% 72.75/45.66 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB63, bitIndex0) | (~v90(constB63, bitIndex1)) | v90(constB63, bitIndex2) | v121(constB63))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB63, bitIndex0) | (~v90(constB63, bitIndex1)) | v90(constB63, bitIndex2) | v121(constB63))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(10075,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB63, bitIndex0) | (~v90(constB63, bitIndex1)) | v90(constB63, bitIndex2) | v121(constB63))),
% 72.75/45.66 inference(quant_inst,[status(thm)],[])).
% 72.75/45.66 tff(10076,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB63, bitIndex0) | (~v90(constB63, bitIndex1)) | v90(constB63, bitIndex2) | v121(constB63)),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[10075, 10074])).
% 72.75/45.66 tff(10077,plain,
% 72.75/45.66 (v90(constB63, bitIndex0) | (~v90(constB63, bitIndex1)) | v90(constB63, bitIndex2)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10076, 965, 10073])).
% 72.75/45.66 tff(10078,plain,
% 72.75/45.66 (v90(constB63, bitIndex0)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10077, 10071, 10072])).
% 72.75/45.66 tff(10079,plain,
% 72.75/45.66 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB63, bitIndex0)) | (~v90(constB63, bitIndex1)) | v90(constB63, bitIndex2) | v122(constB63))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB63, bitIndex0)) | (~v90(constB63, bitIndex1)) | v90(constB63, bitIndex2) | v122(constB63))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(10080,plain,
% 72.75/45.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB63, bitIndex0)) | (~v90(constB63, bitIndex1)) | v90(constB63, bitIndex2) | v122(constB63))),
% 72.75/45.66 inference(quant_inst,[status(thm)],[])).
% 72.75/45.66 tff(10081,plain,
% 72.75/45.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB63, bitIndex0)) | (~v90(constB63, bitIndex1)) | v90(constB63, bitIndex2) | v122(constB63)),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[10080, 10079])).
% 72.75/45.66 tff(10082,plain,
% 72.75/45.66 ((~v90(constB63, bitIndex0)) | v90(constB63, bitIndex2) | v122(constB63)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10081, 1203, 10072])).
% 72.75/45.66 tff(10083,plain,
% 72.75/45.66 ($false),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10082, 10078, 10071, 10070])).
% 72.75/45.66 tff(10084,plain,(v90(constB63, bitIndex2) | v122(constB63) | (~v90(constB63, bitIndex1)) | v121(constB63)), inference(lemma,lemma(discharge,[]))).
% 72.75/45.66 tff(10085,plain,
% 72.75/45.66 (v90(constB63, bitIndex2)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10084, 10069, 10064, 10012])).
% 72.75/45.66 tff(10086,plain,
% 72.75/45.66 (v90(constB62, bitIndex2)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[9890, 10085])).
% 72.75/45.66 tff(10087,plain,
% 72.75/45.66 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB63) | (~v125(constB63)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB63) | (~v125(constB63)))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(10088,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB63) | (~v125(constB63)))),
% 72.75/45.66 inference(quant_inst,[status(thm)],[])).
% 72.75/45.66 tff(10089,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB63) | (~v125(constB63))),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[10088, 10087])).
% 72.75/45.66 tff(10090,plain,
% 72.75/45.66 (~v125(constB63)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10089, 2047, 9996])).
% 72.75/45.66 tff(10091,plain,
% 72.75/45.66 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB63, bitIndex0) | (~v90(constB63, bitIndex1)) | (~v90(constB63, bitIndex2)) | v125(constB63))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB63, bitIndex0) | (~v90(constB63, bitIndex1)) | (~v90(constB63, bitIndex2)) | v125(constB63))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(10092,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB63, bitIndex0) | (~v90(constB63, bitIndex1)) | (~v90(constB63, bitIndex2)) | v125(constB63))),
% 72.75/45.66 inference(quant_inst,[status(thm)],[])).
% 72.75/45.66 tff(10093,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB63, bitIndex0) | (~v90(constB63, bitIndex1)) | (~v90(constB63, bitIndex2)) | v125(constB63)),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[10092, 10091])).
% 72.75/45.66 tff(10094,plain,
% 72.75/45.66 (v90(constB63, bitIndex0) | (~v90(constB63, bitIndex2))),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10093, 2036, 10064, 10090])).
% 72.75/45.66 tff(10095,plain,
% 72.75/45.66 (v90(constB63, bitIndex0)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10094, 10085])).
% 72.75/45.66 tff(10096,plain,
% 72.75/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex0)))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(10097,plain,
% 72.75/45.66 (((~nextState(constB62, constB63)) | v90(constB62, bitIndex0) | v100(constB63) | (~v90(constB63, bitIndex0))) <=> (v90(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex0)))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(10098,plain,
% 72.75/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex0) | v100(constB63) | (~v90(constB63, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex0))))),
% 72.75/45.66 inference(monotonicity,[status(thm)],[10097])).
% 72.75/45.66 tff(10099,plain,
% 72.75/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex0) | v100(constB63) | (~v90(constB63, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex0)))),
% 72.75/45.66 inference(transitivity,[status(thm)],[10098, 10096])).
% 72.75/45.66 tff(10100,plain,
% 72.75/45.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB62, constB63)) | v90(constB62, bitIndex0) | v100(constB63) | (~v90(constB63, bitIndex0)))),
% 72.75/45.66 inference(quant_inst,[status(thm)],[])).
% 72.75/45.66 tff(10101,plain,
% 72.75/45.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex0))),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[10100, 10099])).
% 72.75/45.66 tff(10102,plain,
% 72.75/45.66 (v90(constB62, bitIndex0) | v100(constB63) | (~v90(constB63, bitIndex0))),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10101, 130, 9870])).
% 72.75/45.66 tff(10103,plain,
% 72.75/45.66 (v90(constB62, bitIndex0) | (~v90(constB63, bitIndex0))),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10102, 9882])).
% 72.75/45.66 tff(10104,plain,
% 72.75/45.66 (v90(constB62, bitIndex0)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10103, 10095])).
% 72.75/45.66 tff(10105,assumption,(~v100(constB62)), introduced(assumption)).
% 72.75/45.66 tff(10106,assumption,(~v90(constB62, bitIndex0)), introduced(assumption)).
% 72.75/45.66 tff(10107,plain,
% 72.75/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB61, bitIndex0)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB61, bitIndex0)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, bitIndex0))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(10108,plain,
% 72.75/45.66 (((~nextState(constB61, constB62)) | (~v90(constB61, bitIndex0)) | v100(constB62) | v90(constB62, bitIndex0)) <=> ((~v90(constB61, bitIndex0)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, bitIndex0))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(10109,plain,
% 72.75/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB61, constB62)) | (~v90(constB61, bitIndex0)) | v100(constB62) | v90(constB62, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB61, bitIndex0)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, bitIndex0)))),
% 72.75/45.66 inference(monotonicity,[status(thm)],[10108])).
% 72.75/45.66 tff(10110,plain,
% 72.75/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB61, constB62)) | (~v90(constB61, bitIndex0)) | v100(constB62) | v90(constB62, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB61, bitIndex0)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, bitIndex0))),
% 72.75/45.66 inference(transitivity,[status(thm)],[10109, 10107])).
% 72.75/45.66 tff(10111,plain,
% 72.75/45.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB61, constB62)) | (~v90(constB61, bitIndex0)) | v100(constB62) | v90(constB62, bitIndex0))),
% 72.75/45.66 inference(quant_inst,[status(thm)],[])).
% 72.75/45.66 tff(10112,plain,
% 72.75/45.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB61, bitIndex0)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, bitIndex0)),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[10111, 10110])).
% 72.75/45.66 tff(10113,plain,
% 72.75/45.66 ((~v90(constB61, bitIndex0)) | v100(constB62) | v90(constB62, bitIndex0)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10112, 437, 9777])).
% 72.75/45.66 tff(10114,plain,
% 72.75/45.66 (~v90(constB61, bitIndex0)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10113, 10106, 10105])).
% 72.75/45.66 tff(10115,plain,
% 72.75/45.66 (~v110(constB62)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[9810, 10105])).
% 72.75/45.66 tff(10116,plain,
% 72.75/45.66 (~v108(constB61)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[9784, 10115])).
% 72.75/45.66 tff(10117,plain,
% 72.75/45.66 (~v112(constB61)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[9773, 210, 10116])).
% 72.75/45.66 tff(10118,plain,
% 72.75/45.66 (~v113(constB61)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[9769, 10117])).
% 72.75/45.66 tff(10119,plain,
% 72.75/45.66 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB61) | (~v114(constB61)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB61) | (~v114(constB61)))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(10120,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB61) | (~v114(constB61)))),
% 72.75/45.66 inference(quant_inst,[status(thm)],[])).
% 72.75/45.66 tff(10121,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB61) | (~v114(constB61))),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[10120, 10119])).
% 72.75/45.66 tff(10122,plain,
% 72.75/45.66 (~v114(constB61)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10121, 287, 10118])).
% 72.75/45.66 tff(10123,plain,
% 72.75/45.66 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB61) | (~v124(constB61)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB61) | (~v124(constB61)))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(10124,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB61) | (~v124(constB61)))),
% 72.75/45.66 inference(quant_inst,[status(thm)],[])).
% 72.75/45.66 tff(10125,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB61) | (~v124(constB61))),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[10124, 10123])).
% 72.75/45.66 tff(10126,plain,
% 72.75/45.66 (~v124(constB61)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10125, 1718, 10122])).
% 72.75/45.66 tff(10127,plain,
% 72.75/45.66 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB61) | (~v115(constB61)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB61) | (~v115(constB61)))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(10128,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB61) | (~v115(constB61)))),
% 72.75/45.66 inference(quant_inst,[status(thm)],[])).
% 72.75/45.66 tff(10129,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB61) | (~v115(constB61))),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[10128, 10127])).
% 72.75/45.66 tff(10130,plain,
% 72.75/45.66 (~v115(constB61)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10129, 276, 10122])).
% 72.75/45.66 tff(10131,plain,
% 72.75/45.66 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB61) | (~v116(constB61)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB61) | (~v116(constB61)))),
% 72.75/45.66 inference(rewrite,[status(thm)],[])).
% 72.75/45.66 tff(10132,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB61) | (~v116(constB61)))),
% 72.75/45.66 inference(quant_inst,[status(thm)],[])).
% 72.75/45.66 tff(10133,plain,
% 72.75/45.66 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB61) | (~v116(constB61))),
% 72.75/45.66 inference(modus_ponens,[status(thm)],[10132, 10131])).
% 72.75/45.66 tff(10134,plain,
% 72.75/45.66 (~v116(constB61)),
% 72.75/45.66 inference(unit_resolution,[status(thm)],[10133, 265, 10130])).
% 72.84/45.66 tff(10135,plain,
% 72.84/45.66 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB61) | (~v117(constB61)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB61) | (~v117(constB61)))),
% 72.84/45.66 inference(rewrite,[status(thm)],[])).
% 72.84/45.66 tff(10136,plain,
% 72.84/45.66 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB61) | (~v117(constB61)))),
% 72.84/45.66 inference(quant_inst,[status(thm)],[])).
% 72.84/45.66 tff(10137,plain,
% 72.84/45.66 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB61) | (~v117(constB61))),
% 72.84/45.66 inference(modus_ponens,[status(thm)],[10136, 10135])).
% 72.84/45.66 tff(10138,plain,
% 72.84/45.66 (~v117(constB61)),
% 72.84/45.66 inference(unit_resolution,[status(thm)],[10137, 254, 10134])).
% 72.84/45.66 tff(10139,plain,
% 72.84/45.66 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB61) | (~v118(constB61)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB61) | (~v118(constB61)))),
% 72.84/45.66 inference(rewrite,[status(thm)],[])).
% 72.84/45.66 tff(10140,plain,
% 72.84/45.66 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB61) | (~v118(constB61)))),
% 72.84/45.66 inference(quant_inst,[status(thm)],[])).
% 72.84/45.66 tff(10141,plain,
% 72.84/45.66 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB61) | (~v118(constB61))),
% 72.84/45.66 inference(modus_ponens,[status(thm)],[10140, 10139])).
% 72.84/45.66 tff(10142,plain,
% 72.84/45.66 (~v118(constB61)),
% 72.84/45.66 inference(unit_resolution,[status(thm)],[10141, 243, 10138])).
% 72.84/45.66 tff(10143,plain,
% 72.84/45.66 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB61) | (~v120(constB61)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB61) | (~v120(constB61)))),
% 72.84/45.66 inference(rewrite,[status(thm)],[])).
% 72.84/45.66 tff(10144,plain,
% 72.84/45.66 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB61) | (~v120(constB61)))),
% 72.84/45.66 inference(quant_inst,[status(thm)],[])).
% 72.84/45.66 tff(10145,plain,
% 72.84/45.66 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB61) | (~v120(constB61))),
% 72.84/45.66 inference(modus_ponens,[status(thm)],[10144, 10143])).
% 72.84/45.66 tff(10146,plain,
% 72.84/45.66 (~v120(constB61)),
% 72.84/45.66 inference(unit_resolution,[status(thm)],[10145, 646, 10142])).
% 72.84/45.66 tff(10147,plain,
% 72.84/45.66 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB61) | (~v121(constB61)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB61) | (~v121(constB61)))),
% 72.84/45.66 inference(rewrite,[status(thm)],[])).
% 72.84/45.66 tff(10148,plain,
% 72.84/45.66 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB61) | (~v121(constB61)))),
% 72.84/45.66 inference(quant_inst,[status(thm)],[])).
% 72.84/45.66 tff(10149,plain,
% 72.84/45.66 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB61) | (~v121(constB61))),
% 72.84/45.66 inference(modus_ponens,[status(thm)],[10148, 10147])).
% 72.84/45.66 tff(10150,plain,
% 72.84/45.66 (~v121(constB61)),
% 72.84/45.66 inference(unit_resolution,[status(thm)],[10149, 976, 10138])).
% 72.84/45.66 tff(10151,assumption,(~v90(constB62, bitIndex2)), introduced(assumption)).
% 72.84/45.66 tff(10152,assumption,(~v26(constB61)), introduced(assumption)).
% 72.84/45.66 tff(10153,assumption,(~v90(constB61, bitIndex1)), introduced(assumption)).
% 72.84/45.66 tff(10154,plain,
% 72.84/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB61, bitIndex2)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB61, bitIndex2)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, bitIndex2))),
% 72.84/45.66 inference(rewrite,[status(thm)],[])).
% 72.84/45.66 tff(10155,plain,
% 72.84/45.66 (((~nextState(constB61, constB62)) | (~v90(constB61, bitIndex2)) | v100(constB62) | v90(constB62, bitIndex2)) <=> ((~v90(constB61, bitIndex2)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, bitIndex2))),
% 72.84/45.66 inference(rewrite,[status(thm)],[])).
% 72.84/45.66 tff(10156,plain,
% 72.84/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB61, constB62)) | (~v90(constB61, bitIndex2)) | v100(constB62) | v90(constB62, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB61, bitIndex2)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, bitIndex2)))),
% 72.84/45.66 inference(monotonicity,[status(thm)],[10155])).
% 72.84/45.66 tff(10157,plain,
% 72.84/45.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB61, constB62)) | (~v90(constB61, bitIndex2)) | v100(constB62) | v90(constB62, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB61, bitIndex2)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, bitIndex2))),
% 72.84/45.66 inference(transitivity,[status(thm)],[10156, 10154])).
% 72.84/45.66 tff(10158,plain,
% 72.84/45.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB61, constB62)) | (~v90(constB61, bitIndex2)) | v100(constB62) | v90(constB62, bitIndex2))),
% 72.84/45.66 inference(quant_inst,[status(thm)],[])).
% 72.84/45.66 tff(10159,plain,
% 72.84/45.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB61, bitIndex2)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, bitIndex2)),
% 72.84/45.66 inference(modus_ponens,[status(thm)],[10158, 10157])).
% 72.84/45.66 tff(10160,plain,
% 72.84/45.66 ((~v90(constB61, bitIndex2)) | v100(constB62) | v90(constB62, bitIndex2)),
% 72.84/45.66 inference(unit_resolution,[status(thm)],[10159, 1370, 9777])).
% 72.84/45.66 tff(10161,plain,
% 72.84/45.66 (~v90(constB61, bitIndex2)),
% 72.84/45.66 inference(unit_resolution,[status(thm)],[10160, 10105, 10151])).
% 72.84/45.66 tff(10162,plain,
% 72.84/45.66 (~v90(constB61, bitIndex0)),
% 72.84/45.66 inference(unit_resolution,[status(thm)],[10113, 10105, 10106])).
% 72.84/45.66 tff(10163,plain,
% 72.84/45.67 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB61) | v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB61) | v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2))),
% 72.84/45.67 inference(rewrite,[status(thm)],[])).
% 72.84/45.67 tff(10164,plain,
% 72.84/45.67 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB61) | v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2))),
% 72.84/45.67 inference(quant_inst,[status(thm)],[])).
% 72.84/45.67 tff(10165,plain,
% 72.84/45.67 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB61) | v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2)),
% 72.84/45.67 inference(modus_ponens,[status(thm)],[10164, 10163])).
% 72.84/45.67 tff(10166,plain,
% 72.84/45.67 (v119(constB61) | v90(constB61, bitIndex0) | v90(constB61, bitIndex2)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10165, 151, 10153])).
% 72.84/45.67 tff(10167,plain,
% 72.84/45.67 (v119(constB61)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10166, 10162, 10161])).
% 72.84/45.67 tff(10168,plain,
% 72.84/45.67 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB61) | (~v119(constB61)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB61) | (~v119(constB61)))),
% 72.84/45.67 inference(rewrite,[status(thm)],[])).
% 72.84/45.67 tff(10169,plain,
% 72.84/45.67 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB61) | (~v119(constB61)))),
% 72.84/45.67 inference(quant_inst,[status(thm)],[])).
% 72.84/45.67 tff(10170,plain,
% 72.84/45.67 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB61) | (~v119(constB61))),
% 72.84/45.67 inference(modus_ponens,[status(thm)],[10169, 10168])).
% 72.84/45.67 tff(10171,plain,
% 72.84/45.67 (v118(constB61)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10170, 232, 10167])).
% 72.84/45.67 tff(10172,plain,
% 72.84/45.67 (v117(constB61)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10141, 243, 10171])).
% 72.84/45.67 tff(10173,plain,
% 72.84/45.67 (v116(constB61)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10137, 254, 10172])).
% 72.84/45.67 tff(10174,plain,
% 72.84/45.67 (v112(constB61) | (~v113(constB61))),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[9768, 301, 10152])).
% 72.84/45.67 tff(10175,plain,
% 72.84/45.67 (~v113(constB61)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10174, 10117])).
% 72.84/45.67 tff(10176,plain,
% 72.84/45.67 (~v114(constB61)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10121, 287, 10175])).
% 72.84/45.67 tff(10177,plain,
% 72.84/45.67 (~v115(constB61)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10129, 276, 10176])).
% 72.84/45.67 tff(10178,plain,
% 72.84/45.67 ($false),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10133, 265, 10177, 10173])).
% 72.84/45.67 tff(10179,plain,(v100(constB62) | v26(constB61) | v90(constB61, bitIndex1) | v90(constB62, bitIndex0) | v90(constB62, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 72.84/45.67 tff(10180,plain,
% 72.84/45.67 (v100(constB62)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10179, 10153, 10152, 10106, 10151])).
% 72.84/45.67 tff(10181,plain,
% 72.84/45.67 ((~v129(constB62, bitIndex0)) | (~v100(constB62))),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[9953, 401, 10106])).
% 72.84/45.67 tff(10182,plain,
% 72.84/45.67 (~v129(constB62, bitIndex0)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10181, 10180])).
% 72.84/45.67 tff(10183,plain,
% 72.84/45.67 (~v127(constB61, bitIndex0)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[9946, 10182])).
% 72.84/45.67 tff(10184,plain,
% 72.84/45.67 ((~v130(constB61, bitIndex0)) | v127(constB61, bitIndex0)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[9940, 179, 10152])).
% 72.84/45.67 tff(10185,plain,
% 72.84/45.67 (~v130(constB61, bitIndex0)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10184, 10183])).
% 72.84/45.67 tff(10186,plain,
% 72.84/45.67 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB61, bitIndex1) | (~v122(constB61)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB61, bitIndex1) | (~v122(constB61)))),
% 72.84/45.67 inference(rewrite,[status(thm)],[])).
% 72.84/45.67 tff(10187,plain,
% 72.84/45.67 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB61, bitIndex1) | (~v122(constB61)))),
% 72.84/45.67 inference(quant_inst,[status(thm)],[])).
% 72.84/45.67 tff(10188,plain,
% 72.84/45.67 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB61, bitIndex1) | (~v122(constB61))),
% 72.84/45.67 inference(modus_ponens,[status(thm)],[10187, 10186])).
% 72.84/45.67 tff(10189,plain,
% 72.84/45.67 (~v122(constB61)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10188, 3201, 10153])).
% 72.84/45.67 tff(10190,plain,
% 72.84/45.67 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB61)) | v130(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB61)) | v130(constB61, bitIndex0))),
% 72.84/45.67 inference(rewrite,[status(thm)],[])).
% 72.84/45.67 tff(10191,plain,
% 72.84/45.67 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB61)) | v130(constB61, bitIndex0))),
% 72.84/45.67 inference(quant_inst,[status(thm)],[])).
% 72.84/45.67 tff(10192,plain,
% 72.84/45.67 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB61)) | v130(constB61, bitIndex0)),
% 72.84/45.67 inference(modus_ponens,[status(thm)],[10191, 10190])).
% 72.84/45.67 tff(10193,plain,
% 72.84/45.67 (~v123(constB61)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10192, 1666, 10185])).
% 72.84/45.67 tff(10194,plain,
% 72.84/45.67 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB61)) | v130(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB61)) | v130(constB61, bitIndex0))),
% 72.84/45.67 inference(rewrite,[status(thm)],[])).
% 72.84/45.67 tff(10195,plain,
% 72.84/45.67 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB61)) | v130(constB61, bitIndex0))),
% 72.84/45.67 inference(quant_inst,[status(thm)],[])).
% 72.84/45.67 tff(10196,plain,
% 72.84/45.67 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB61)) | v130(constB61, bitIndex0)),
% 72.84/45.67 inference(modus_ponens,[status(thm)],[10195, 10194])).
% 72.84/45.67 tff(10197,plain,
% 72.84/45.67 (~v119(constB61)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10196, 165, 10185])).
% 72.84/45.67 tff(10198,assumption,(~v120(constB61)), introduced(assumption)).
% 72.84/45.67 tff(10199,assumption,(~v121(constB61)), introduced(assumption)).
% 72.84/45.67 tff(10200,assumption,(~v124(constB61)), introduced(assumption)).
% 72.84/45.67 tff(10201,plain,
% 72.84/45.67 (v130(constB61, bitIndex0) | v119(constB61) | v122(constB61) | v123(constB61)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[9935, 2192, 10200, 10199, 10198])).
% 72.84/45.67 tff(10202,plain,
% 72.84/45.67 ($false),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10201, 10197, 10193, 10189, 10185])).
% 72.84/45.67 tff(10203,plain,(v90(constB61, bitIndex1) | v124(constB61) | v121(constB61) | v120(constB61) | v26(constB61) | v90(constB62, bitIndex0) | v90(constB62, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 72.84/45.67 tff(10204,plain,
% 72.84/45.67 (v90(constB61, bitIndex1)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10203, 10151, 10150, 10146, 9762, 10106, 10126])).
% 72.84/45.67 tff(10205,plain,
% 72.84/45.67 (~v90(constB61, bitIndex2)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10160, 10151, 10105])).
% 72.84/45.67 tff(10206,plain,
% 72.84/45.67 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v121(constB61))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v121(constB61))),
% 72.84/45.67 inference(rewrite,[status(thm)],[])).
% 72.84/45.67 tff(10207,plain,
% 72.84/45.67 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v121(constB61))),
% 72.84/45.67 inference(quant_inst,[status(thm)],[])).
% 72.84/45.67 tff(10208,plain,
% 72.84/45.67 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v121(constB61)),
% 72.84/45.67 inference(modus_ponens,[status(thm)],[10207, 10206])).
% 72.84/45.67 tff(10209,plain,
% 72.84/45.67 (v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10208, 965, 10150])).
% 72.84/45.67 tff(10210,plain,
% 72.84/45.67 ($false),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10209, 10205, 10204, 10114])).
% 72.84/45.67 tff(10211,plain,(v90(constB62, bitIndex2) | v100(constB62) | v90(constB62, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.84/45.67 tff(10212,plain,
% 72.84/45.67 (v90(constB62, bitIndex2)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10211, 10106, 10105])).
% 72.84/45.67 tff(10213,plain,
% 72.84/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB61, bitIndex2) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB61, bitIndex2) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex2)))),
% 72.84/45.67 inference(rewrite,[status(thm)],[])).
% 72.84/45.67 tff(10214,plain,
% 72.84/45.67 (((~nextState(constB61, constB62)) | v90(constB61, bitIndex2) | v100(constB62) | (~v90(constB62, bitIndex2))) <=> (v90(constB61, bitIndex2) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex2)))),
% 72.84/45.67 inference(rewrite,[status(thm)],[])).
% 72.84/45.67 tff(10215,plain,
% 72.84/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v90(constB61, bitIndex2) | v100(constB62) | (~v90(constB62, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB61, bitIndex2) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex2))))),
% 72.84/45.67 inference(monotonicity,[status(thm)],[10214])).
% 72.84/45.67 tff(10216,plain,
% 72.84/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v90(constB61, bitIndex2) | v100(constB62) | (~v90(constB62, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB61, bitIndex2) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex2)))),
% 72.84/45.67 inference(transitivity,[status(thm)],[10215, 10213])).
% 72.84/45.67 tff(10217,plain,
% 72.84/45.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v90(constB61, bitIndex2) | v100(constB62) | (~v90(constB62, bitIndex2)))),
% 72.84/45.67 inference(quant_inst,[status(thm)],[])).
% 72.84/45.67 tff(10218,plain,
% 72.84/45.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB61, bitIndex2) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex2))),
% 72.84/45.67 inference(modus_ponens,[status(thm)],[10217, 10216])).
% 72.84/45.67 tff(10219,plain,
% 72.84/45.67 (v90(constB61, bitIndex2) | v100(constB62) | (~v90(constB62, bitIndex2))),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10218, 88, 9777])).
% 72.84/45.67 tff(10220,plain,
% 72.84/45.67 (v90(constB61, bitIndex2)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10219, 10212, 10105])).
% 72.84/45.67 tff(10221,plain,
% 72.84/45.67 (~v125(constB61)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[9757, 2047, 10118])).
% 72.84/45.67 tff(10222,plain,
% 72.84/45.67 (v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2))),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[9752, 2036, 10221])).
% 72.84/45.67 tff(10223,plain,
% 72.84/45.67 (~v90(constB61, bitIndex1)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10222, 10220, 10114])).
% 72.84/45.67 tff(10224,plain,
% 72.84/45.67 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB61) | (~v123(constB61)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB61) | (~v123(constB61)))),
% 72.84/45.67 inference(rewrite,[status(thm)],[])).
% 72.84/45.67 tff(10225,plain,
% 72.84/45.67 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB61) | (~v123(constB61)))),
% 72.84/45.67 inference(quant_inst,[status(thm)],[])).
% 72.84/45.67 tff(10226,plain,
% 72.84/45.67 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB61) | (~v123(constB61))),
% 72.84/45.67 inference(modus_ponens,[status(thm)],[10225, 10224])).
% 72.84/45.67 tff(10227,plain,
% 72.84/45.67 (~v123(constB61)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10226, 1488, 10130])).
% 72.84/45.67 tff(10228,plain,
% 72.84/45.67 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)) | v123(constB61))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)) | v123(constB61))),
% 72.84/45.67 inference(rewrite,[status(thm)],[])).
% 72.84/45.67 tff(10229,plain,
% 72.84/45.67 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)) | v123(constB61))),
% 72.84/45.67 inference(quant_inst,[status(thm)],[])).
% 72.84/45.67 tff(10230,plain,
% 72.84/45.67 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)) | v123(constB61)),
% 72.84/45.67 inference(modus_ponens,[status(thm)],[10229, 10228])).
% 72.84/45.67 tff(10231,plain,
% 72.84/45.67 (v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2))),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10230, 1477, 10227])).
% 72.84/45.67 tff(10232,plain,
% 72.84/45.67 ($false),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10231, 10223, 10220, 10114])).
% 72.84/45.67 tff(10233,plain,(v90(constB62, bitIndex0) | v100(constB62)), inference(lemma,lemma(discharge,[]))).
% 72.84/45.67 tff(10234,plain,
% 72.84/45.67 (v90(constB62, bitIndex0)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10233, 10105])).
% 72.84/45.67 tff(10235,plain,
% 72.84/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB61, bitIndex0) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB61, bitIndex0) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex0)))),
% 72.84/45.67 inference(rewrite,[status(thm)],[])).
% 72.84/45.67 tff(10236,plain,
% 72.84/45.67 (((~nextState(constB61, constB62)) | v90(constB61, bitIndex0) | v100(constB62) | (~v90(constB62, bitIndex0))) <=> (v90(constB61, bitIndex0) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex0)))),
% 72.84/45.67 inference(rewrite,[status(thm)],[])).
% 72.84/45.67 tff(10237,plain,
% 72.84/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB61, constB62)) | v90(constB61, bitIndex0) | v100(constB62) | (~v90(constB62, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB61, bitIndex0) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex0))))),
% 72.84/45.67 inference(monotonicity,[status(thm)],[10236])).
% 72.84/45.67 tff(10238,plain,
% 72.84/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB61, constB62)) | v90(constB61, bitIndex0) | v100(constB62) | (~v90(constB62, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB61, bitIndex0) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex0)))),
% 72.84/45.67 inference(transitivity,[status(thm)],[10237, 10235])).
% 72.84/45.67 tff(10239,plain,
% 72.84/45.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB61, constB62)) | v90(constB61, bitIndex0) | v100(constB62) | (~v90(constB62, bitIndex0)))),
% 72.84/45.67 inference(quant_inst,[status(thm)],[])).
% 72.84/45.67 tff(10240,plain,
% 72.84/45.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB61, bitIndex0) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex0))),
% 72.84/45.67 inference(modus_ponens,[status(thm)],[10239, 10238])).
% 72.84/45.67 tff(10241,plain,
% 72.84/45.67 (v90(constB61, bitIndex0) | v100(constB62) | (~v90(constB62, bitIndex0))),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10240, 130, 9777])).
% 72.84/45.67 tff(10242,plain,
% 72.84/45.67 (v90(constB61, bitIndex0)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10241, 10234, 10105])).
% 72.84/45.67 tff(10243,plain,
% 72.84/45.67 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB61, bitIndex0)) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)) | v124(constB61))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB61, bitIndex0)) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)) | v124(constB61))),
% 72.84/45.67 inference(rewrite,[status(thm)],[])).
% 72.84/45.67 tff(10244,plain,
% 72.84/45.67 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB61, bitIndex0)) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)) | v124(constB61))),
% 72.84/45.67 inference(quant_inst,[status(thm)],[])).
% 72.84/45.67 tff(10245,plain,
% 72.84/45.67 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB61, bitIndex0)) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)) | v124(constB61)),
% 72.84/45.67 inference(modus_ponens,[status(thm)],[10244, 10243])).
% 72.84/45.67 tff(10246,plain,
% 72.84/45.67 ((~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex2)) | v124(constB61)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10245, 1707, 10153])).
% 72.84/45.67 tff(10247,plain,
% 72.84/45.67 (~v90(constB61, bitIndex2)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10246, 10126, 10242])).
% 72.84/45.67 tff(10248,assumption,(v90(constB61, bitIndex0)), introduced(assumption)).
% 72.84/45.67 tff(10249,assumption,(~v90(constB61, bitIndex2)), introduced(assumption)).
% 72.84/45.67 tff(10250,assumption,(~v122(constB61)), introduced(assumption)).
% 72.84/45.67 tff(10251,plain,
% 72.84/45.67 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v122(constB61))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v122(constB61))),
% 72.84/45.67 inference(rewrite,[status(thm)],[])).
% 72.84/45.67 tff(10252,plain,
% 72.84/45.67 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v122(constB61))),
% 72.84/45.67 inference(quant_inst,[status(thm)],[])).
% 72.84/45.67 tff(10253,plain,
% 72.84/45.67 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v122(constB61)),
% 72.84/45.67 inference(modus_ponens,[status(thm)],[10252, 10251])).
% 72.84/45.67 tff(10254,plain,
% 72.84/45.67 ((~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10253, 1203, 10250])).
% 72.84/45.67 tff(10255,plain,
% 72.84/45.67 (~v90(constB61, bitIndex1)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10254, 10249, 10248])).
% 72.84/45.67 tff(10256,plain,
% 72.84/45.67 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB61, bitIndex0)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2) | v120(constB61))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB61, bitIndex0)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2) | v120(constB61))),
% 72.84/45.67 inference(rewrite,[status(thm)],[])).
% 72.84/45.67 tff(10257,plain,
% 72.84/45.67 (((~v90(constB61, bitIndex0)) | v120(constB61) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2)) <=> ((~v90(constB61, bitIndex0)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2) | v120(constB61))),
% 72.84/45.67 inference(rewrite,[status(thm)],[])).
% 72.84/45.67 tff(10258,plain,
% 72.84/45.67 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB61, bitIndex0)) | v120(constB61) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB61, bitIndex0)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2) | v120(constB61)))),
% 72.84/45.67 inference(monotonicity,[status(thm)],[10257])).
% 72.84/45.67 tff(10259,plain,
% 72.84/45.67 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB61, bitIndex0)) | v120(constB61) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB61, bitIndex0)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2) | v120(constB61))),
% 72.84/45.67 inference(transitivity,[status(thm)],[10258, 10256])).
% 72.84/45.67 tff(10260,plain,
% 72.84/45.67 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB61, bitIndex0)) | v120(constB61) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2))),
% 72.84/45.67 inference(quant_inst,[status(thm)],[])).
% 72.84/45.67 tff(10261,plain,
% 72.84/45.67 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB61, bitIndex0)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2) | v120(constB61)),
% 72.84/45.67 inference(modus_ponens,[status(thm)],[10260, 10259])).
% 72.84/45.67 tff(10262,plain,
% 72.84/45.67 ((~v90(constB61, bitIndex0)) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10261, 631, 10198])).
% 72.84/45.67 tff(10263,plain,
% 72.84/45.67 ($false),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10262, 10255, 10249, 10248])).
% 72.84/45.67 tff(10264,plain,(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0)) | v120(constB61) | v122(constB61)), inference(lemma,lemma(discharge,[]))).
% 72.84/45.67 tff(10265,plain,
% 72.84/45.67 (v120(constB61)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10264, 10247, 10189, 10242])).
% 72.84/45.67 tff(10266,plain,
% 72.84/45.67 (v118(constB61)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10145, 646, 10265])).
% 72.84/45.67 tff(10267,plain,
% 72.84/45.67 ($false),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10141, 243, 10138, 10266])).
% 72.84/45.67 tff(10268,plain,(v100(constB62) | v90(constB61, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.84/45.67 tff(10269,plain,
% 72.84/45.67 (v90(constB61, bitIndex1)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10268, 10105])).
% 72.84/45.67 tff(10270,plain,
% 72.84/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex1)))),
% 72.84/45.67 inference(rewrite,[status(thm)],[])).
% 72.84/45.67 tff(10271,plain,
% 72.84/45.67 (((~nextState(constB60, constB61)) | v90(constB60, bitIndex1) | v100(constB61) | (~v90(constB61, bitIndex1))) <=> (v90(constB60, bitIndex1) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex1)))),
% 72.84/45.67 inference(rewrite,[status(thm)],[])).
% 72.84/45.67 tff(10272,plain,
% 72.84/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex1) | v100(constB61) | (~v90(constB61, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex1))))),
% 72.84/45.67 inference(monotonicity,[status(thm)],[10271])).
% 72.84/45.67 tff(10273,plain,
% 72.84/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex1) | v100(constB61) | (~v90(constB61, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex1)))),
% 72.84/45.67 inference(transitivity,[status(thm)],[10272, 10270])).
% 72.84/45.67 tff(10274,plain,
% 72.84/45.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex1) | v100(constB61) | (~v90(constB61, bitIndex1)))),
% 72.84/45.67 inference(quant_inst,[status(thm)],[])).
% 72.84/45.67 tff(10275,plain,
% 72.84/45.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex1))),
% 72.84/45.67 inference(modus_ponens,[status(thm)],[10274, 10273])).
% 72.84/45.67 tff(10276,plain,
% 72.84/45.67 (v90(constB60, bitIndex1) | v100(constB61) | (~v90(constB61, bitIndex1))),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10275, 109, 9709])).
% 72.84/45.67 tff(10277,plain,
% 72.84/45.67 (v90(constB60, bitIndex1) | (~v90(constB61, bitIndex1))),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10276, 9721])).
% 72.84/45.67 tff(10278,plain,
% 72.84/45.67 (v90(constB60, bitIndex1)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10277, 10269])).
% 72.84/45.67 tff(10279,assumption,(v90(constB62, bitIndex0)), introduced(assumption)).
% 72.84/45.67 tff(10280,plain,
% 72.84/45.67 (v90(constB61, bitIndex0)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10241, 10105, 10279])).
% 72.84/45.67 tff(10281,plain,
% 72.84/45.67 (v90(constB60, bitIndex0)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[9748, 10280])).
% 72.84/45.67 tff(10282,assumption,(v90(constB62, bitIndex2)), introduced(assumption)).
% 72.84/45.67 tff(10283,plain,
% 72.84/45.67 (v90(constB61, bitIndex2)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10219, 10105, 10282])).
% 72.84/45.67 tff(10284,plain,
% 72.84/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex2)))),
% 72.84/45.67 inference(rewrite,[status(thm)],[])).
% 72.84/45.67 tff(10285,plain,
% 72.84/45.67 (((~nextState(constB60, constB61)) | v90(constB60, bitIndex2) | v100(constB61) | (~v90(constB61, bitIndex2))) <=> (v90(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex2)))),
% 72.84/45.67 inference(rewrite,[status(thm)],[])).
% 72.84/45.67 tff(10286,plain,
% 72.84/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex2) | v100(constB61) | (~v90(constB61, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex2))))),
% 72.84/45.67 inference(monotonicity,[status(thm)],[10285])).
% 72.84/45.67 tff(10287,plain,
% 72.84/45.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex2) | v100(constB61) | (~v90(constB61, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex2)))),
% 72.84/45.67 inference(transitivity,[status(thm)],[10286, 10284])).
% 72.84/45.67 tff(10288,plain,
% 72.84/45.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB60, constB61)) | v90(constB60, bitIndex2) | v100(constB61) | (~v90(constB61, bitIndex2)))),
% 72.84/45.67 inference(quant_inst,[status(thm)],[])).
% 72.84/45.67 tff(10289,plain,
% 72.84/45.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex2))),
% 72.84/45.67 inference(modus_ponens,[status(thm)],[10288, 10287])).
% 72.84/45.67 tff(10290,plain,
% 72.84/45.67 (v90(constB60, bitIndex2) | v100(constB61) | (~v90(constB61, bitIndex2))),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10289, 88, 9709])).
% 72.84/45.67 tff(10291,plain,
% 72.84/45.67 (v90(constB60, bitIndex2) | (~v90(constB61, bitIndex2))),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10290, 9721])).
% 72.84/45.67 tff(10292,plain,
% 72.84/45.67 (v90(constB60, bitIndex2)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[10291, 10283])).
% 72.84/45.67 tff(10293,assumption,(v90(constB60, bitIndex1)), introduced(assumption)).
% 72.84/45.67 tff(10294,plain,
% 72.84/45.67 (v90(constB59, bitIndex1)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[9694, 9449, 10293])).
% 72.84/45.67 tff(10295,plain,
% 72.84/45.67 (v90(constB58, bitIndex1)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[9149, 10294])).
% 72.84/45.67 tff(10296,plain,
% 72.84/45.67 (v90(constB58, bitIndex0)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[9162, 9555])).
% 72.84/45.67 tff(10297,plain,
% 72.84/45.67 (v100(constB58)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[9414, 10296, 8979])).
% 72.84/45.67 tff(10298,plain,
% 72.84/45.67 (v129(constB58, bitIndex1)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[9023, 603, 10297, 10295])).
% 72.84/45.67 tff(10299,plain,
% 72.84/45.67 (v127(constB57, bitIndex1)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[9016, 10298])).
% 72.84/45.67 tff(10300,plain,
% 72.84/45.67 (v130(constB57, bitIndex1)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[9011, 10299])).
% 72.84/45.67 tff(10301,plain,
% 72.84/45.67 (~v119(constB57)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[8938, 541, 10300])).
% 72.84/45.67 tff(10302,plain,
% 72.84/45.67 (~v123(constB57)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[8934, 1622, 10300])).
% 72.84/45.67 tff(10303,assumption,(v90(constB60, bitIndex2)), introduced(assumption)).
% 72.84/45.67 tff(10304,plain,
% 72.84/45.67 (v90(constB59, bitIndex2)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[9642, 9449, 10303])).
% 72.84/45.67 tff(10305,plain,
% 72.84/45.67 (v90(constB58, bitIndex2)),
% 72.84/45.67 inference(unit_resolution,[status(thm)],[9340, 10304])).
% 72.84/45.67 tff(10306,plain,
% 72.84/45.67 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB58, bitIndex2)) | v129(constB58, bitIndex2) | (~v100(constB58)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB58, bitIndex2)) | v129(constB58, bitIndex2) | (~v100(constB58)))),
% 72.84/45.67 inference(rewrite,[status(thm)],[])).
% 72.84/45.67 tff(10307,plain,
% 72.84/45.67 (((~v90(constB58, bitIndex2)) | (~v100(constB58)) | v129(constB58, bitIndex2)) <=> ((~v90(constB58, bitIndex2)) | v129(constB58, bitIndex2) | (~v100(constB58)))),
% 72.84/45.67 inference(rewrite,[status(thm)],[])).
% 72.84/45.67 tff(10308,plain,
% 72.84/45.67 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB58, bitIndex2)) | (~v100(constB58)) | v129(constB58, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB58, bitIndex2)) | v129(constB58, bitIndex2) | (~v100(constB58))))),
% 72.84/45.68 inference(monotonicity,[status(thm)],[10307])).
% 72.84/45.68 tff(10309,plain,
% 72.84/45.68 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB58, bitIndex2)) | (~v100(constB58)) | v129(constB58, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB58, bitIndex2)) | v129(constB58, bitIndex2) | (~v100(constB58)))),
% 72.84/45.68 inference(transitivity,[status(thm)],[10308, 10306])).
% 72.84/45.68 tff(10310,plain,
% 72.84/45.68 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB58, bitIndex2)) | (~v100(constB58)) | v129(constB58, bitIndex2))),
% 72.84/45.68 inference(quant_inst,[status(thm)],[])).
% 72.84/45.68 tff(10311,plain,
% 72.84/45.68 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB58, bitIndex2)) | v129(constB58, bitIndex2) | (~v100(constB58))),
% 72.84/45.68 inference(modus_ponens,[status(thm)],[10310, 10309])).
% 72.84/45.68 tff(10312,plain,
% 72.84/45.68 (v129(constB58, bitIndex2)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10311, 503, 10297, 10305])).
% 72.84/45.68 tff(10313,plain,
% 72.84/45.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex2) | (~v129(constB58, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex2) | (~v129(constB58, bitIndex2)))),
% 72.84/45.68 inference(rewrite,[status(thm)],[])).
% 72.84/45.68 tff(10314,plain,
% 72.84/45.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex2) | (~v129(constB58, bitIndex2)))),
% 72.84/45.68 inference(quant_inst,[status(thm)],[])).
% 72.84/45.68 tff(10315,plain,
% 72.84/45.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex2) | (~v129(constB58, bitIndex2))),
% 72.84/45.68 inference(modus_ponens,[status(thm)],[10314, 10313])).
% 72.84/45.68 tff(10316,plain,
% 72.84/45.68 (v127(constB57, bitIndex2) | (~v129(constB58, bitIndex2))),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10315, 488, 8918])).
% 72.84/45.68 tff(10317,plain,
% 72.84/45.68 (v127(constB57, bitIndex2)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10316, 10312])).
% 72.84/45.68 tff(10318,plain,
% 72.84/45.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB57, bitIndex2)) | v26(constB57) | v130(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB57, bitIndex2)) | v26(constB57) | v130(constB57, bitIndex2))),
% 72.84/45.68 inference(rewrite,[status(thm)],[])).
% 72.84/45.68 tff(10319,plain,
% 72.84/45.68 ((v26(constB57) | v130(constB57, bitIndex2) | (~v127(constB57, bitIndex2))) <=> ((~v127(constB57, bitIndex2)) | v26(constB57) | v130(constB57, bitIndex2))),
% 72.84/45.68 inference(rewrite,[status(thm)],[])).
% 72.84/45.68 tff(10320,plain,
% 72.84/45.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB57) | v130(constB57, bitIndex2) | (~v127(constB57, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB57, bitIndex2)) | v26(constB57) | v130(constB57, bitIndex2)))),
% 72.84/45.68 inference(monotonicity,[status(thm)],[10319])).
% 72.84/45.68 tff(10321,plain,
% 72.84/45.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB57) | v130(constB57, bitIndex2) | (~v127(constB57, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB57, bitIndex2)) | v26(constB57) | v130(constB57, bitIndex2))),
% 72.84/45.68 inference(transitivity,[status(thm)],[10320, 10318])).
% 72.84/45.68 tff(10322,plain,
% 72.84/45.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB57) | v130(constB57, bitIndex2) | (~v127(constB57, bitIndex2)))),
% 72.84/45.68 inference(quant_inst,[status(thm)],[])).
% 72.84/45.68 tff(10323,plain,
% 72.84/45.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB57, bitIndex2)) | v26(constB57) | v130(constB57, bitIndex2)),
% 72.84/45.68 inference(modus_ponens,[status(thm)],[10322, 10321])).
% 72.84/45.68 tff(10324,plain,
% 72.84/45.68 ((~v127(constB57, bitIndex2)) | v130(constB57, bitIndex2)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10323, 470, 9004])).
% 72.84/45.68 tff(10325,plain,
% 72.84/45.68 (v130(constB57, bitIndex2)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10324, 10317])).
% 72.84/45.68 tff(10326,plain,
% 72.84/45.68 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB57)) | (~v130(constB57, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB57)) | (~v130(constB57, bitIndex2)))),
% 72.84/45.68 inference(rewrite,[status(thm)],[])).
% 72.84/45.68 tff(10327,plain,
% 72.84/45.68 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB57)) | (~v130(constB57, bitIndex2)))),
% 72.84/45.68 inference(quant_inst,[status(thm)],[])).
% 72.84/45.68 tff(10328,plain,
% 72.84/45.68 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB57)) | (~v130(constB57, bitIndex2))),
% 72.84/45.68 inference(modus_ponens,[status(thm)],[10327, 10326])).
% 72.84/45.68 tff(10329,plain,
% 72.84/45.68 (~v121(constB57)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10328, 1059, 10325])).
% 72.84/45.68 tff(10330,plain,
% 72.84/45.68 ($false),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[8998, 10329, 10302, 10300, 10301])).
% 72.84/45.68 tff(10331,plain,(v100(constB60) | (~v90(constB60, bitIndex2)) | (~v90(constB60, bitIndex0)) | (~v90(constB60, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 72.84/45.68 tff(10332,plain,
% 72.84/45.68 (v100(constB60)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10331, 10292, 10281, 10278])).
% 72.84/45.68 tff(10333,plain,
% 72.84/45.68 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | v129(constB60, bitIndex1) | (~v100(constB60)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | v129(constB60, bitIndex1) | (~v100(constB60)))),
% 72.84/45.68 inference(rewrite,[status(thm)],[])).
% 72.84/45.68 tff(10334,plain,
% 72.84/45.68 (((~v90(constB60, bitIndex1)) | (~v100(constB60)) | v129(constB60, bitIndex1)) <=> ((~v90(constB60, bitIndex1)) | v129(constB60, bitIndex1) | (~v100(constB60)))),
% 72.84/45.68 inference(rewrite,[status(thm)],[])).
% 72.84/45.68 tff(10335,plain,
% 72.84/45.68 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | (~v100(constB60)) | v129(constB60, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | v129(constB60, bitIndex1) | (~v100(constB60))))),
% 72.84/45.68 inference(monotonicity,[status(thm)],[10334])).
% 72.84/45.68 tff(10336,plain,
% 72.84/45.68 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | (~v100(constB60)) | v129(constB60, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | v129(constB60, bitIndex1) | (~v100(constB60)))),
% 72.84/45.68 inference(transitivity,[status(thm)],[10335, 10333])).
% 72.84/45.68 tff(10337,plain,
% 72.84/45.68 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB60, bitIndex1)) | (~v100(constB60)) | v129(constB60, bitIndex1))),
% 72.84/45.68 inference(quant_inst,[status(thm)],[])).
% 72.84/45.68 tff(10338,plain,
% 72.84/45.68 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB60, bitIndex1)) | v129(constB60, bitIndex1) | (~v100(constB60))),
% 72.84/45.68 inference(modus_ponens,[status(thm)],[10337, 10336])).
% 72.84/45.68 tff(10339,plain,
% 72.84/45.68 (v129(constB60, bitIndex1) | (~v100(constB60))),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10338, 603, 10278])).
% 72.84/45.68 tff(10340,plain,
% 72.84/45.68 (v129(constB60, bitIndex1)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10339, 10332])).
% 72.84/45.68 tff(10341,plain,
% 72.84/45.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex1) | (~v129(constB60, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex1) | (~v129(constB60, bitIndex1)))),
% 72.84/45.68 inference(rewrite,[status(thm)],[])).
% 72.84/45.68 tff(10342,plain,
% 72.84/45.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex1) | (~v129(constB60, bitIndex1)))),
% 72.84/45.68 inference(quant_inst,[status(thm)],[])).
% 72.84/45.68 tff(10343,plain,
% 72.84/45.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex1) | (~v129(constB60, bitIndex1))),
% 72.84/45.68 inference(modus_ponens,[status(thm)],[10342, 10341])).
% 72.84/45.68 tff(10344,plain,
% 72.84/45.68 (v127(constB59, bitIndex1) | (~v129(constB60, bitIndex1))),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10343, 588, 9441])).
% 72.84/45.68 tff(10345,plain,
% 72.84/45.68 (v127(constB59, bitIndex1)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10344, 10340])).
% 72.84/45.68 tff(10346,plain,
% 72.84/45.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB59, bitIndex1)) | v26(constB59) | v130(constB59, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB59, bitIndex1)) | v26(constB59) | v130(constB59, bitIndex1))),
% 72.84/45.68 inference(rewrite,[status(thm)],[])).
% 72.84/45.68 tff(10347,plain,
% 72.84/45.68 ((v26(constB59) | v130(constB59, bitIndex1) | (~v127(constB59, bitIndex1))) <=> ((~v127(constB59, bitIndex1)) | v26(constB59) | v130(constB59, bitIndex1))),
% 72.84/45.68 inference(rewrite,[status(thm)],[])).
% 72.84/45.68 tff(10348,plain,
% 72.84/45.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB59) | v130(constB59, bitIndex1) | (~v127(constB59, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB59, bitIndex1)) | v26(constB59) | v130(constB59, bitIndex1)))),
% 72.84/45.68 inference(monotonicity,[status(thm)],[10347])).
% 72.84/45.68 tff(10349,plain,
% 72.84/45.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB59) | v130(constB59, bitIndex1) | (~v127(constB59, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB59, bitIndex1)) | v26(constB59) | v130(constB59, bitIndex1))),
% 72.84/45.68 inference(transitivity,[status(thm)],[10348, 10346])).
% 72.84/45.68 tff(10350,plain,
% 72.84/45.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB59) | v130(constB59, bitIndex1) | (~v127(constB59, bitIndex1)))),
% 72.84/45.68 inference(quant_inst,[status(thm)],[])).
% 72.84/45.68 tff(10351,plain,
% 72.84/45.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB59, bitIndex1)) | v26(constB59) | v130(constB59, bitIndex1)),
% 72.84/45.68 inference(modus_ponens,[status(thm)],[10350, 10349])).
% 72.84/45.68 tff(10352,plain,
% 72.84/45.68 ((~v127(constB59, bitIndex1)) | v130(constB59, bitIndex1)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10351, 555, 9433])).
% 72.84/45.68 tff(10353,plain,
% 72.84/45.68 (v130(constB59, bitIndex1)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10352, 10345])).
% 72.84/45.68 tff(10354,plain,
% 72.84/45.68 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB59)) | (~v130(constB59, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB59)) | (~v130(constB59, bitIndex1)))),
% 72.84/45.68 inference(rewrite,[status(thm)],[])).
% 72.84/45.68 tff(10355,plain,
% 72.84/45.68 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB59)) | (~v130(constB59, bitIndex1)))),
% 72.84/45.68 inference(quant_inst,[status(thm)],[])).
% 72.84/45.68 tff(10356,plain,
% 72.84/45.68 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB59)) | (~v130(constB59, bitIndex1))),
% 72.84/45.68 inference(modus_ponens,[status(thm)],[10355, 10354])).
% 72.84/45.68 tff(10357,plain,
% 72.84/45.68 (~v119(constB59)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10356, 541, 10353])).
% 72.84/45.68 tff(10358,plain,
% 72.84/45.68 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB59)) | (~v130(constB59, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB59)) | (~v130(constB59, bitIndex1)))),
% 72.84/45.68 inference(rewrite,[status(thm)],[])).
% 72.84/45.68 tff(10359,plain,
% 72.84/45.68 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB59)) | (~v130(constB59, bitIndex1)))),
% 72.84/45.68 inference(quant_inst,[status(thm)],[])).
% 72.84/45.68 tff(10360,plain,
% 72.84/45.68 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB59)) | (~v130(constB59, bitIndex1))),
% 72.84/45.68 inference(modus_ponens,[status(thm)],[10359, 10358])).
% 72.84/45.68 tff(10361,plain,
% 72.84/45.68 (~v122(constB59)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10360, 1389, 10353])).
% 72.84/45.68 tff(10362,plain,
% 72.84/45.68 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB59)) | (~v130(constB59, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB59)) | (~v130(constB59, bitIndex1)))),
% 72.84/45.68 inference(rewrite,[status(thm)],[])).
% 72.84/45.68 tff(10363,plain,
% 72.84/45.68 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB59)) | (~v130(constB59, bitIndex1)))),
% 72.84/45.68 inference(quant_inst,[status(thm)],[])).
% 72.84/45.68 tff(10364,plain,
% 72.84/45.68 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB59)) | (~v130(constB59, bitIndex1))),
% 72.84/45.68 inference(modus_ponens,[status(thm)],[10363, 10362])).
% 72.84/45.68 tff(10365,plain,
% 72.84/45.68 (~v123(constB59)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10364, 1622, 10353])).
% 72.84/45.68 tff(10366,plain,
% 72.84/45.68 (v129(constB60, bitIndex0) | (~v100(constB60))),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[9684, 938, 10281])).
% 72.84/45.68 tff(10367,plain,
% 72.84/45.68 (v129(constB60, bitIndex0)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10366, 10332])).
% 72.84/45.68 tff(10368,plain,
% 72.84/45.68 (v127(constB59, bitIndex0)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[9677, 10367])).
% 72.84/45.68 tff(10369,plain,
% 72.84/45.68 (v130(constB59, bitIndex0)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[9672, 10368])).
% 72.84/45.68 tff(10370,plain,
% 72.84/45.68 (~v124(constB59)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[9660, 1992, 10369])).
% 72.84/45.68 tff(10371,plain,
% 72.84/45.68 (~v120(constB59)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[9656, 891, 10369])).
% 72.84/45.68 tff(10372,plain,
% 72.84/45.68 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB60, bitIndex2)) | v129(constB60, bitIndex2) | (~v100(constB60)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB60, bitIndex2)) | v129(constB60, bitIndex2) | (~v100(constB60)))),
% 72.84/45.68 inference(rewrite,[status(thm)],[])).
% 72.84/45.68 tff(10373,plain,
% 72.84/45.68 (((~v90(constB60, bitIndex2)) | (~v100(constB60)) | v129(constB60, bitIndex2)) <=> ((~v90(constB60, bitIndex2)) | v129(constB60, bitIndex2) | (~v100(constB60)))),
% 72.84/45.68 inference(rewrite,[status(thm)],[])).
% 72.84/45.68 tff(10374,plain,
% 72.84/45.68 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB60, bitIndex2)) | (~v100(constB60)) | v129(constB60, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB60, bitIndex2)) | v129(constB60, bitIndex2) | (~v100(constB60))))),
% 72.84/45.68 inference(monotonicity,[status(thm)],[10373])).
% 72.84/45.68 tff(10375,plain,
% 72.84/45.68 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB60, bitIndex2)) | (~v100(constB60)) | v129(constB60, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB60, bitIndex2)) | v129(constB60, bitIndex2) | (~v100(constB60)))),
% 72.84/45.68 inference(transitivity,[status(thm)],[10374, 10372])).
% 72.84/45.68 tff(10376,plain,
% 72.84/45.68 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB60, bitIndex2)) | (~v100(constB60)) | v129(constB60, bitIndex2))),
% 72.84/45.68 inference(quant_inst,[status(thm)],[])).
% 72.84/45.68 tff(10377,plain,
% 72.84/45.68 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB60, bitIndex2)) | v129(constB60, bitIndex2) | (~v100(constB60))),
% 72.84/45.68 inference(modus_ponens,[status(thm)],[10376, 10375])).
% 72.84/45.68 tff(10378,plain,
% 72.84/45.68 (v129(constB60, bitIndex2) | (~v100(constB60))),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10377, 503, 10292])).
% 72.84/45.68 tff(10379,plain,
% 72.84/45.68 (v129(constB60, bitIndex2)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10378, 10332])).
% 72.84/45.68 tff(10380,plain,
% 72.84/45.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex2) | (~v129(constB60, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex2) | (~v129(constB60, bitIndex2)))),
% 72.84/45.68 inference(rewrite,[status(thm)],[])).
% 72.84/45.68 tff(10381,plain,
% 72.84/45.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex2) | (~v129(constB60, bitIndex2)))),
% 72.84/45.68 inference(quant_inst,[status(thm)],[])).
% 72.84/45.68 tff(10382,plain,
% 72.84/45.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex2) | (~v129(constB60, bitIndex2))),
% 72.84/45.68 inference(modus_ponens,[status(thm)],[10381, 10380])).
% 72.84/45.68 tff(10383,plain,
% 72.84/45.68 (v127(constB59, bitIndex2) | (~v129(constB60, bitIndex2))),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10382, 488, 9441])).
% 72.84/45.68 tff(10384,plain,
% 72.84/45.68 (v127(constB59, bitIndex2)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10383, 10379])).
% 72.84/45.68 tff(10385,plain,
% 72.84/45.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB59, bitIndex2)) | v26(constB59) | v130(constB59, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB59, bitIndex2)) | v26(constB59) | v130(constB59, bitIndex2))),
% 72.84/45.68 inference(rewrite,[status(thm)],[])).
% 72.84/45.68 tff(10386,plain,
% 72.84/45.68 ((v26(constB59) | v130(constB59, bitIndex2) | (~v127(constB59, bitIndex2))) <=> ((~v127(constB59, bitIndex2)) | v26(constB59) | v130(constB59, bitIndex2))),
% 72.84/45.68 inference(rewrite,[status(thm)],[])).
% 72.84/45.68 tff(10387,plain,
% 72.84/45.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB59) | v130(constB59, bitIndex2) | (~v127(constB59, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB59, bitIndex2)) | v26(constB59) | v130(constB59, bitIndex2)))),
% 72.84/45.68 inference(monotonicity,[status(thm)],[10386])).
% 72.84/45.68 tff(10388,plain,
% 72.84/45.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB59) | v130(constB59, bitIndex2) | (~v127(constB59, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB59, bitIndex2)) | v26(constB59) | v130(constB59, bitIndex2))),
% 72.84/45.68 inference(transitivity,[status(thm)],[10387, 10385])).
% 72.84/45.68 tff(10389,plain,
% 72.84/45.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB59) | v130(constB59, bitIndex2) | (~v127(constB59, bitIndex2)))),
% 72.84/45.68 inference(quant_inst,[status(thm)],[])).
% 72.84/45.68 tff(10390,plain,
% 72.84/45.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB59, bitIndex2)) | v26(constB59) | v130(constB59, bitIndex2)),
% 72.84/45.68 inference(modus_ponens,[status(thm)],[10389, 10388])).
% 72.84/45.68 tff(10391,plain,
% 72.84/45.68 ((~v127(constB59, bitIndex2)) | v130(constB59, bitIndex2)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10390, 470, 9433])).
% 72.84/45.68 tff(10392,plain,
% 72.84/45.68 (v130(constB59, bitIndex2)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10391, 10384])).
% 72.84/45.68 tff(10393,plain,
% 72.84/45.68 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB59) | v123(constB59) | v122(constB59) | v121(constB59) | v120(constB59) | v119(constB59) | (~v130(constB59, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB59) | v123(constB59) | v122(constB59) | v121(constB59) | v120(constB59) | v119(constB59) | (~v130(constB59, bitIndex2)))),
% 72.84/45.68 inference(rewrite,[status(thm)],[])).
% 72.84/45.68 tff(10394,plain,
% 72.84/45.68 ((v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59) | v124(constB59) | (~v130(constB59, bitIndex2))) <=> (v124(constB59) | v123(constB59) | v122(constB59) | v121(constB59) | v120(constB59) | v119(constB59) | (~v130(constB59, bitIndex2)))),
% 72.84/45.68 inference(rewrite,[status(thm)],[])).
% 72.84/45.68 tff(10395,plain,
% 72.84/45.68 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59) | v124(constB59) | (~v130(constB59, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB59) | v123(constB59) | v122(constB59) | v121(constB59) | v120(constB59) | v119(constB59) | (~v130(constB59, bitIndex2))))),
% 72.84/45.68 inference(monotonicity,[status(thm)],[10394])).
% 72.84/45.68 tff(10396,plain,
% 72.84/45.68 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59) | v124(constB59) | (~v130(constB59, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB59) | v123(constB59) | v122(constB59) | v121(constB59) | v120(constB59) | v119(constB59) | (~v130(constB59, bitIndex2)))),
% 72.84/45.68 inference(transitivity,[status(thm)],[10395, 10393])).
% 72.84/45.68 tff(10397,plain,
% 72.84/45.68 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB59) | v119(constB59) | v121(constB59) | v122(constB59) | v123(constB59) | v124(constB59) | (~v130(constB59, bitIndex2)))),
% 72.84/45.68 inference(quant_inst,[status(thm)],[])).
% 72.84/45.68 tff(10398,plain,
% 72.84/45.68 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB59) | v123(constB59) | v122(constB59) | v121(constB59) | v120(constB59) | v119(constB59) | (~v130(constB59, bitIndex2))),
% 72.84/45.68 inference(modus_ponens,[status(thm)],[10397, 10396])).
% 72.84/45.68 tff(10399,plain,
% 72.84/45.68 (v121(constB59)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10398, 1955, 10392, 10371, 10370, 10365, 10361, 10357])).
% 72.84/45.68 tff(10400,plain,
% 72.84/45.68 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB59)) | (~v130(constB59, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB59)) | (~v130(constB59, bitIndex2)))),
% 72.84/45.68 inference(rewrite,[status(thm)],[])).
% 72.84/45.68 tff(10401,plain,
% 72.84/45.68 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB59)) | (~v130(constB59, bitIndex2)))),
% 72.84/45.68 inference(quant_inst,[status(thm)],[])).
% 72.84/45.68 tff(10402,plain,
% 72.84/45.68 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB59)) | (~v130(constB59, bitIndex2))),
% 72.84/45.68 inference(modus_ponens,[status(thm)],[10401, 10400])).
% 72.84/45.68 tff(10403,plain,
% 72.84/45.68 ($false),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10402, 1059, 10392, 10399])).
% 72.84/45.68 tff(10404,plain,(v100(constB62) | (~v90(constB62, bitIndex2)) | (~v90(constB62, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.84/45.68 tff(10405,plain,
% 72.84/45.68 (v100(constB62)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10404, 10104, 10086])).
% 72.84/45.68 tff(10406,plain,
% 72.84/45.68 (v90(constB62, bitIndex1)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[9928, 10064])).
% 72.84/45.68 tff(10407,plain,
% 72.84/45.68 (v129(constB62, bitIndex1) | (~v100(constB62))),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[9918, 603, 10406])).
% 72.84/45.68 tff(10408,plain,
% 72.84/45.68 (v129(constB62, bitIndex1)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10407, 10405])).
% 72.84/45.68 tff(10409,plain,
% 72.84/45.68 (v127(constB61, bitIndex1)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[9911, 10408])).
% 72.84/45.68 tff(10410,plain,
% 72.84/45.68 (v130(constB61, bitIndex1)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[9906, 10409])).
% 72.84/45.68 tff(10411,plain,
% 72.84/45.68 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB61)) | (~v130(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB61)) | (~v130(constB61, bitIndex1)))),
% 72.84/45.68 inference(rewrite,[status(thm)],[])).
% 72.84/45.68 tff(10412,plain,
% 72.84/45.68 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB61)) | (~v130(constB61, bitIndex1)))),
% 72.84/45.68 inference(quant_inst,[status(thm)],[])).
% 72.84/45.68 tff(10413,plain,
% 72.84/45.68 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB61)) | (~v130(constB61, bitIndex1))),
% 72.84/45.68 inference(modus_ponens,[status(thm)],[10412, 10411])).
% 72.84/45.68 tff(10414,plain,
% 72.84/45.68 (~v123(constB61)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10413, 1622, 10410])).
% 72.84/45.68 tff(10415,plain,
% 72.84/45.68 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB61)) | (~v130(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB61)) | (~v130(constB61, bitIndex1)))),
% 72.84/45.68 inference(rewrite,[status(thm)],[])).
% 72.84/45.68 tff(10416,plain,
% 72.84/45.68 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB61)) | (~v130(constB61, bitIndex1)))),
% 72.84/45.68 inference(quant_inst,[status(thm)],[])).
% 72.84/45.68 tff(10417,plain,
% 72.84/45.68 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB61)) | (~v130(constB61, bitIndex1))),
% 72.84/45.68 inference(modus_ponens,[status(thm)],[10416, 10415])).
% 72.84/45.68 tff(10418,plain,
% 72.84/45.68 (~v119(constB61)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10417, 541, 10410])).
% 72.84/45.68 tff(10419,plain,
% 72.84/45.68 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB61)) | (~v130(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB61)) | (~v130(constB61, bitIndex1)))),
% 72.84/45.68 inference(rewrite,[status(thm)],[])).
% 72.84/45.68 tff(10420,plain,
% 72.84/45.68 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB61)) | (~v130(constB61, bitIndex1)))),
% 72.84/45.68 inference(quant_inst,[status(thm)],[])).
% 72.84/45.68 tff(10421,plain,
% 72.84/45.68 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB61)) | (~v130(constB61, bitIndex1))),
% 72.84/45.68 inference(modus_ponens,[status(thm)],[10420, 10419])).
% 72.84/45.68 tff(10422,plain,
% 72.84/45.68 (~v122(constB61)),
% 72.84/45.68 inference(unit_resolution,[status(thm)],[10421, 1389, 10410])).
% 72.84/45.68 tff(10423,plain,
% 72.84/45.68 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0) | (~v100(constB62)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0) | (~v100(constB62)))),
% 72.84/45.68 inference(rewrite,[status(thm)],[])).
% 72.84/45.68 tff(10424,plain,
% 72.84/45.68 (((~v90(constB62, bitIndex0)) | (~v100(constB62)) | v129(constB62, bitIndex0)) <=> ((~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0) | (~v100(constB62)))),
% 72.84/45.68 inference(rewrite,[status(thm)],[])).
% 72.84/45.68 tff(10425,plain,
% 72.84/45.68 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | (~v100(constB62)) | v129(constB62, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0) | (~v100(constB62))))),
% 72.86/45.68 inference(monotonicity,[status(thm)],[10424])).
% 72.86/45.68 tff(10426,plain,
% 72.86/45.68 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | (~v100(constB62)) | v129(constB62, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0) | (~v100(constB62)))),
% 72.86/45.68 inference(transitivity,[status(thm)],[10425, 10423])).
% 72.86/45.68 tff(10427,plain,
% 72.86/45.68 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | (~v100(constB62)) | v129(constB62, bitIndex0))),
% 72.86/45.68 inference(quant_inst,[status(thm)],[])).
% 72.86/45.68 tff(10428,plain,
% 72.86/45.68 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0) | (~v100(constB62))),
% 72.86/45.68 inference(modus_ponens,[status(thm)],[10427, 10426])).
% 72.86/45.68 tff(10429,plain,
% 72.86/45.68 (v129(constB62, bitIndex0)),
% 72.86/45.68 inference(unit_resolution,[status(thm)],[10428, 938, 10405, 10104])).
% 72.86/45.68 tff(10430,plain,
% 72.86/45.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex0) | (~v129(constB62, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex0) | (~v129(constB62, bitIndex0)))),
% 72.86/45.68 inference(rewrite,[status(thm)],[])).
% 72.86/45.68 tff(10431,plain,
% 72.86/45.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex0) | (~v129(constB62, bitIndex0)))),
% 72.86/45.68 inference(quant_inst,[status(thm)],[])).
% 72.86/45.68 tff(10432,plain,
% 72.86/45.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex0) | (~v129(constB62, bitIndex0))),
% 72.86/45.68 inference(modus_ponens,[status(thm)],[10431, 10430])).
% 72.86/45.68 tff(10433,plain,
% 72.86/45.68 (v127(constB61, bitIndex0) | (~v129(constB62, bitIndex0))),
% 72.86/45.68 inference(unit_resolution,[status(thm)],[10432, 923, 9777])).
% 72.86/45.68 tff(10434,plain,
% 72.86/45.68 (v127(constB61, bitIndex0)),
% 72.86/45.68 inference(unit_resolution,[status(thm)],[10433, 10429])).
% 72.86/45.68 tff(10435,plain,
% 72.86/45.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB61, bitIndex0)) | v26(constB61) | v130(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB61, bitIndex0)) | v26(constB61) | v130(constB61, bitIndex0))),
% 72.86/45.68 inference(rewrite,[status(thm)],[])).
% 72.86/45.68 tff(10436,plain,
% 72.86/45.68 ((v26(constB61) | v130(constB61, bitIndex0) | (~v127(constB61, bitIndex0))) <=> ((~v127(constB61, bitIndex0)) | v26(constB61) | v130(constB61, bitIndex0))),
% 72.86/45.68 inference(rewrite,[status(thm)],[])).
% 72.86/45.68 tff(10437,plain,
% 72.86/45.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB61) | v130(constB61, bitIndex0) | (~v127(constB61, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB61, bitIndex0)) | v26(constB61) | v130(constB61, bitIndex0)))),
% 72.86/45.68 inference(monotonicity,[status(thm)],[10436])).
% 72.86/45.68 tff(10438,plain,
% 72.86/45.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB61) | v130(constB61, bitIndex0) | (~v127(constB61, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB61, bitIndex0)) | v26(constB61) | v130(constB61, bitIndex0))),
% 72.86/45.68 inference(transitivity,[status(thm)],[10437, 10435])).
% 72.86/45.68 tff(10439,plain,
% 72.86/45.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB61) | v130(constB61, bitIndex0) | (~v127(constB61, bitIndex0)))),
% 72.86/45.68 inference(quant_inst,[status(thm)],[])).
% 72.86/45.68 tff(10440,plain,
% 72.86/45.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB61, bitIndex0)) | v26(constB61) | v130(constB61, bitIndex0)),
% 72.86/45.68 inference(modus_ponens,[status(thm)],[10439, 10438])).
% 72.86/45.68 tff(10441,plain,
% 72.86/45.68 ((~v127(constB61, bitIndex0)) | v130(constB61, bitIndex0)),
% 72.86/45.68 inference(unit_resolution,[status(thm)],[10440, 905, 9762])).
% 72.86/45.68 tff(10442,plain,
% 72.86/45.68 (v130(constB61, bitIndex0)),
% 72.86/45.68 inference(unit_resolution,[status(thm)],[10441, 10434])).
% 72.86/45.68 tff(10443,plain,
% 72.86/45.68 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB61)) | (~v130(constB61, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB61)) | (~v130(constB61, bitIndex0)))),
% 72.86/45.68 inference(rewrite,[status(thm)],[])).
% 72.86/45.68 tff(10444,plain,
% 72.86/45.68 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB61)) | (~v130(constB61, bitIndex0)))),
% 72.86/45.68 inference(quant_inst,[status(thm)],[])).
% 72.86/45.68 tff(10445,plain,
% 72.86/45.68 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB61)) | (~v130(constB61, bitIndex0))),
% 72.86/45.68 inference(modus_ponens,[status(thm)],[10444, 10443])).
% 72.86/45.68 tff(10446,plain,
% 72.86/45.68 (~v120(constB61)),
% 72.86/45.68 inference(unit_resolution,[status(thm)],[10445, 891, 10442])).
% 72.86/45.68 tff(10447,plain,
% 72.86/45.68 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB61)) | (~v130(constB61, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB61)) | (~v130(constB61, bitIndex0)))),
% 72.86/45.68 inference(rewrite,[status(thm)],[])).
% 72.86/45.68 tff(10448,plain,
% 72.86/45.68 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB61)) | (~v130(constB61, bitIndex0)))),
% 72.86/45.68 inference(quant_inst,[status(thm)],[])).
% 72.86/45.68 tff(10449,plain,
% 72.86/45.68 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB61)) | (~v130(constB61, bitIndex0))),
% 72.86/45.68 inference(modus_ponens,[status(thm)],[10448, 10447])).
% 72.86/45.68 tff(10450,plain,
% 72.86/45.68 (~v124(constB61)),
% 72.86/45.68 inference(unit_resolution,[status(thm)],[10449, 1992, 10442])).
% 72.86/45.68 tff(10451,plain,
% 72.86/45.68 (v129(constB62, bitIndex2)),
% 72.86/45.68 inference(unit_resolution,[status(thm)],[9862, 503, 10405, 10086])).
% 72.86/45.68 tff(10452,plain,
% 72.86/45.68 (v127(constB61, bitIndex2)),
% 72.86/45.68 inference(unit_resolution,[status(thm)],[9855, 10451])).
% 72.86/45.68 tff(10453,plain,
% 72.86/45.68 (v130(constB61, bitIndex2)),
% 72.86/45.68 inference(unit_resolution,[status(thm)],[9850, 10452])).
% 72.86/45.68 tff(10454,plain,
% 72.86/45.68 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB61)) | (~v130(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB61)) | (~v130(constB61, bitIndex2)))),
% 72.86/45.68 inference(rewrite,[status(thm)],[])).
% 72.86/45.68 tff(10455,plain,
% 72.86/45.68 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB61)) | (~v130(constB61, bitIndex2)))),
% 72.86/45.68 inference(quant_inst,[status(thm)],[])).
% 72.86/45.68 tff(10456,plain,
% 72.86/45.68 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB61)) | (~v130(constB61, bitIndex2))),
% 72.86/45.68 inference(modus_ponens,[status(thm)],[10455, 10454])).
% 72.86/45.68 tff(10457,plain,
% 72.86/45.68 (~v121(constB61)),
% 72.86/45.68 inference(unit_resolution,[status(thm)],[10456, 1059, 10453])).
% 72.86/45.68 tff(10458,plain,
% 72.86/45.68 (v124(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v122(constB61) | v123(constB61)),
% 72.86/45.68 inference(unit_resolution,[status(thm)],[9897, 2146, 10410])).
% 72.86/45.68 tff(10459,plain,
% 72.86/45.68 ($false),
% 72.86/45.68 inference(unit_resolution,[status(thm)],[10458, 10457, 10450, 10446, 10422, 10418, 10414])).
% 72.86/45.68 tff(10460,plain,(v113(constB63)), inference(lemma,lemma(discharge,[]))).
% 72.86/45.69 tff(10461,assumption,(~v108(constB63)), introduced(assumption)).
% 72.86/45.69 tff(10462,plain,
% 72.86/45.69 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB63) | (~v112(constB63)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB63) | (~v112(constB63)))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10463,plain,
% 72.86/45.69 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB63) | (~v112(constB63)))),
% 72.86/45.69 inference(quant_inst,[status(thm)],[])).
% 72.86/45.69 tff(10464,plain,
% 72.86/45.69 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB63) | (~v112(constB63))),
% 72.86/45.69 inference(modus_ponens,[status(thm)],[10463, 10462])).
% 72.86/45.69 tff(10465,plain,
% 72.86/45.69 (~v112(constB63)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10464, 210, 10461])).
% 72.86/45.69 tff(10466,plain,
% 72.86/45.69 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB63) | (~v26(constB63)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB63) | (~v26(constB63)))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10467,plain,
% 72.86/45.69 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB63) | (~v26(constB63)))),
% 72.86/45.69 inference(quant_inst,[status(thm)],[])).
% 72.86/45.69 tff(10468,plain,
% 72.86/45.69 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB63) | (~v26(constB63))),
% 72.86/45.69 inference(modus_ponens,[status(thm)],[10467, 10466])).
% 72.86/45.69 tff(10469,plain,
% 72.86/45.69 (~v26(constB63)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10468, 221, 10461])).
% 72.86/45.69 tff(10470,assumption,(v113(constB63)), introduced(assumption)).
% 72.86/45.69 tff(10471,plain,
% 72.86/45.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | v112(constB63) | (~v113(constB63)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | v112(constB63) | (~v113(constB63)))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10472,plain,
% 72.86/45.69 ((v26(constB63) | (~v113(constB63)) | v112(constB63)) <=> (v26(constB63) | v112(constB63) | (~v113(constB63)))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10473,plain,
% 72.86/45.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | v112(constB63) | (~v113(constB63))))),
% 72.86/45.69 inference(monotonicity,[status(thm)],[10472])).
% 72.86/45.69 tff(10474,plain,
% 72.86/45.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | v112(constB63) | (~v113(constB63)))),
% 72.86/45.69 inference(transitivity,[status(thm)],[10473, 10471])).
% 72.86/45.69 tff(10475,plain,
% 72.86/45.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))),
% 72.86/45.69 inference(quant_inst,[status(thm)],[])).
% 72.86/45.69 tff(10476,plain,
% 72.86/45.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | v112(constB63) | (~v113(constB63))),
% 72.86/45.69 inference(modus_ponens,[status(thm)],[10475, 10474])).
% 72.86/45.69 tff(10477,plain,
% 72.86/45.69 (v26(constB63) | v112(constB63)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10476, 301, 10470])).
% 72.86/45.69 tff(10478,plain,
% 72.86/45.69 ($false),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10477, 10469, 10465])).
% 72.86/45.69 tff(10479,plain,(v108(constB63) | (~v113(constB63))), inference(lemma,lemma(discharge,[]))).
% 72.86/45.69 tff(10480,plain,
% 72.86/45.69 (v108(constB63)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10479, 10460])).
% 72.86/45.69 tff(10481,plain,
% 72.86/45.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10482,plain,
% 72.86/45.69 (((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64)) <=> ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10483,plain,
% 72.86/45.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63))))),
% 72.86/45.69 inference(monotonicity,[status(thm)],[10482])).
% 72.86/45.69 tff(10484,plain,
% 72.86/45.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 72.86/45.69 inference(transitivity,[status(thm)],[10483, 10481])).
% 72.86/45.69 tff(10485,plain,
% 72.86/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))),
% 72.86/45.69 inference(quant_inst,[status(thm)],[])).
% 72.86/45.69 tff(10486,plain,
% 72.86/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63))),
% 72.86/45.69 inference(modus_ponens,[status(thm)],[10485, 10484])).
% 72.86/45.69 tff(10487,plain,
% 72.86/45.69 (v110(constB64) | (~v108(constB63))),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10486, 317, 9990])).
% 72.86/45.69 tff(10488,plain,
% 72.86/45.69 (v110(constB64)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10487, 10480])).
% 72.86/45.69 tff(10489,plain,
% 72.86/45.69 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10490,plain,
% 72.86/45.69 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))),
% 72.86/45.69 inference(quant_inst,[status(thm)],[])).
% 72.86/45.69 tff(10491,plain,
% 72.86/45.69 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64))),
% 72.86/45.69 inference(modus_ponens,[status(thm)],[10490, 10489])).
% 72.86/45.69 tff(10492,plain,
% 72.86/45.69 (~v104(constB64)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10491, 335, 9990, 9867])).
% 72.86/45.69 tff(10493,plain,
% 72.86/45.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10494,plain,
% 72.86/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))),
% 72.86/45.69 inference(quant_inst,[status(thm)],[])).
% 72.86/45.69 tff(10495,plain,
% 72.86/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v102(constB64) | v104(constB64)),
% 72.86/45.69 inference(modus_ponens,[status(thm)],[10494, 10493])).
% 72.86/45.69 tff(10496,plain,
% 72.86/45.69 (v102(constB64) | v104(constB64)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10495, 349, 9990])).
% 72.86/45.69 tff(10497,plain,
% 72.86/45.69 (v102(constB64)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10496, 10492])).
% 72.86/45.69 tff(10498,plain,
% 72.86/45.69 (v1(constB64) <=> v1(constB64)),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10499,axiom,(v1(constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_64_1')).
% 72.86/45.69 tff(10500,plain,
% 72.86/45.69 (v1(constB64)),
% 72.86/45.69 inference(modus_ponens,[status(thm)],[10499, 10498])).
% 72.86/45.69 tff(10501,plain,
% 72.86/45.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10502,plain,
% 72.86/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))),
% 72.86/45.69 inference(quant_inst,[status(thm)],[])).
% 72.86/45.69 tff(10503,plain,
% 72.86/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64))),
% 72.86/45.69 inference(modus_ponens,[status(thm)],[10502, 10501])).
% 72.86/45.69 tff(10504,plain,
% 72.86/45.69 (v101(constB64) | (~v102(constB64))),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10503, 367, 9990, 10500])).
% 72.86/45.69 tff(10505,plain,
% 72.86/45.69 (v101(constB64)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10504, 10497])).
% 72.86/45.69 tff(10506,plain,
% 72.86/45.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10507,plain,
% 72.86/45.69 (((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64)) <=> ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10508,plain,
% 72.86/45.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64))))),
% 72.86/45.69 inference(monotonicity,[status(thm)],[10507])).
% 72.86/45.69 tff(10509,plain,
% 72.86/45.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 72.86/45.69 inference(transitivity,[status(thm)],[10508, 10506])).
% 72.86/45.69 tff(10510,plain,
% 72.86/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))),
% 72.86/45.69 inference(quant_inst,[status(thm)],[])).
% 72.86/45.69 tff(10511,plain,
% 72.86/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64))),
% 72.86/45.69 inference(modus_ponens,[status(thm)],[10510, 10509])).
% 72.86/45.69 tff(10512,plain,
% 72.86/45.69 (v100(constB64) | (~v101(constB64)) | (~v110(constB64))),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10511, 382, 9990])).
% 72.86/45.69 tff(10513,plain,
% 72.86/45.69 (v100(constB64) | (~v110(constB64))),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10512, 10505])).
% 72.86/45.69 tff(10514,plain,
% 72.86/45.69 (v100(constB64)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10513, 10488])).
% 72.86/45.69 tff(10515,plain,
% 72.86/45.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64)))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10516,plain,
% 72.86/45.69 (((~v90(constB64, bitIndex2)) | (~v100(constB64)) | v129(constB64, bitIndex2)) <=> ((~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64)))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10517,plain,
% 72.86/45.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | (~v100(constB64)) | v129(constB64, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64))))),
% 72.86/45.69 inference(monotonicity,[status(thm)],[10516])).
% 72.86/45.69 tff(10518,plain,
% 72.86/45.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | (~v100(constB64)) | v129(constB64, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64)))),
% 72.86/45.69 inference(transitivity,[status(thm)],[10517, 10515])).
% 72.86/45.69 tff(10519,plain,
% 72.86/45.69 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | (~v100(constB64)) | v129(constB64, bitIndex2))),
% 72.86/45.69 inference(quant_inst,[status(thm)],[])).
% 72.86/45.69 tff(10520,plain,
% 72.86/45.69 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64))),
% 72.86/45.69 inference(modus_ponens,[status(thm)],[10519, 10518])).
% 72.86/45.69 tff(10521,plain,
% 72.86/45.69 ((~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10520, 503, 10514])).
% 72.86/45.69 tff(10522,plain,
% 72.86/45.69 (~v90(constB64, bitIndex2)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10521, 9995])).
% 72.86/45.69 tff(10523,plain,
% 72.86/45.69 ((~v1(constB65)) <=> (~v1(constB65))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10524,axiom,(~v1(constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_65_1_1')).
% 72.86/45.69 tff(10525,plain,
% 72.86/45.69 (~v1(constB65)),
% 72.86/45.69 inference(modus_ponens,[status(thm)],[10524, 10523])).
% 72.86/45.69 tff(10526,plain,
% 72.86/45.69 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10527,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_64_1')).
% 72.86/45.69 tff(10528,plain,
% 72.86/45.69 (nextState(constB64, constB65)),
% 72.86/45.69 inference(modus_ponens,[status(thm)],[10527, 10526])).
% 72.86/45.69 tff(10529,plain,
% 72.86/45.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10530,plain,
% 72.86/45.69 (((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65)) <=> (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10531,plain,
% 72.86/45.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65))))),
% 72.86/45.69 inference(monotonicity,[status(thm)],[10530])).
% 72.86/45.69 tff(10532,plain,
% 72.86/45.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 72.86/45.69 inference(transitivity,[status(thm)],[10531, 10529])).
% 72.86/45.69 tff(10533,plain,
% 72.86/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))),
% 72.86/45.69 inference(quant_inst,[status(thm)],[])).
% 72.86/45.69 tff(10534,plain,
% 72.86/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65))),
% 72.86/45.69 inference(modus_ponens,[status(thm)],[10533, 10532])).
% 72.86/45.69 tff(10535,plain,
% 72.86/45.69 (~v101(constB65)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10534, 56, 10528, 10525])).
% 72.86/45.69 tff(10536,plain,
% 72.86/45.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10537,plain,
% 72.86/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))),
% 72.86/45.69 inference(quant_inst,[status(thm)],[])).
% 72.86/45.69 tff(10538,plain,
% 72.86/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65))),
% 72.86/45.69 inference(modus_ponens,[status(thm)],[10537, 10536])).
% 72.86/45.69 tff(10539,plain,
% 72.86/45.69 (v101(constB65) | (~v100(constB65))),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10538, 73, 10528])).
% 72.86/45.69 tff(10540,plain,
% 72.86/45.69 (~v100(constB65)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10539, 10535])).
% 72.86/45.69 tff(10541,plain,
% 72.86/45.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2)))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10542,plain,
% 72.86/45.69 (((~nextState(constB64, constB65)) | v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2))) <=> (v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2)))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10543,plain,
% 72.86/45.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2))))),
% 72.86/45.69 inference(monotonicity,[status(thm)],[10542])).
% 72.86/45.69 tff(10544,plain,
% 72.86/45.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2)))),
% 72.86/45.69 inference(transitivity,[status(thm)],[10543, 10541])).
% 72.86/45.69 tff(10545,plain,
% 72.86/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2)))),
% 72.86/45.69 inference(quant_inst,[status(thm)],[])).
% 72.86/45.69 tff(10546,plain,
% 72.86/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2))),
% 72.86/45.69 inference(modus_ponens,[status(thm)],[10545, 10544])).
% 72.86/45.69 tff(10547,plain,
% 72.86/45.69 (v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2))),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10546, 88, 10528])).
% 72.86/45.69 tff(10548,plain,
% 72.86/45.69 (v90(constB64, bitIndex2) | (~v90(constB65, bitIndex2))),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10547, 10540])).
% 72.86/45.69 tff(10549,plain,
% 72.86/45.69 (~v90(constB65, bitIndex2)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10548, 10522])).
% 72.86/45.69 tff(10550,plain,
% 72.86/45.69 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB63)) | v130(constB63, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB63)) | v130(constB63, bitIndex1))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10551,plain,
% 72.86/45.69 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB63)) | v130(constB63, bitIndex1))),
% 72.86/45.69 inference(quant_inst,[status(thm)],[])).
% 72.86/45.69 tff(10552,plain,
% 72.86/45.69 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB63)) | v130(constB63, bitIndex1)),
% 72.86/45.69 inference(modus_ponens,[status(thm)],[10551, 10550])).
% 72.86/45.69 tff(10553,plain,
% 72.86/45.69 (v130(constB63, bitIndex1)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10552, 810, 9971])).
% 72.86/45.69 tff(10554,plain,
% 72.86/45.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10555,plain,
% 72.86/45.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1))),
% 72.86/45.69 inference(quant_inst,[status(thm)],[])).
% 72.86/45.69 tff(10556,plain,
% 72.86/45.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1)),
% 72.86/45.69 inference(modus_ponens,[status(thm)],[10555, 10554])).
% 72.86/45.69 tff(10557,plain,
% 72.86/45.69 ((~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10556, 824, 9979])).
% 72.86/45.69 tff(10558,plain,
% 72.86/45.69 (v127(constB63, bitIndex1)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10557, 10553])).
% 72.86/45.69 tff(10559,plain,
% 72.86/45.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10560,plain,
% 72.86/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1))),
% 72.86/45.69 inference(quant_inst,[status(thm)],[])).
% 72.86/45.69 tff(10561,plain,
% 72.86/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1)),
% 72.86/45.69 inference(modus_ponens,[status(thm)],[10560, 10559])).
% 72.86/45.69 tff(10562,plain,
% 72.86/45.69 ((~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10561, 839, 9990])).
% 72.86/45.69 tff(10563,plain,
% 72.86/45.69 (v129(constB64, bitIndex1)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10562, 10558])).
% 72.86/45.69 tff(10564,plain,
% 72.86/45.69 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10565,plain,
% 72.86/45.69 ((v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1))) <=> (v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10566,plain,
% 72.86/45.69 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64))))),
% 72.86/45.69 inference(monotonicity,[status(thm)],[10565])).
% 72.86/45.69 tff(10567,plain,
% 72.86/45.69 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))),
% 72.86/45.69 inference(transitivity,[status(thm)],[10566, 10564])).
% 72.86/45.69 tff(10568,plain,
% 72.86/45.69 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1)))),
% 72.86/45.69 inference(quant_inst,[status(thm)],[])).
% 72.86/45.69 tff(10569,plain,
% 72.86/45.69 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64))),
% 72.86/45.69 inference(modus_ponens,[status(thm)],[10568, 10567])).
% 72.86/45.69 tff(10570,plain,
% 72.86/45.69 (v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1))),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10569, 854, 10514])).
% 72.86/45.69 tff(10571,plain,
% 72.86/45.69 (v90(constB64, bitIndex1)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10570, 10563])).
% 72.86/45.69 tff(10572,plain,
% 72.86/45.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10573,plain,
% 72.86/45.69 (((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1)) <=> ((~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10574,plain,
% 72.86/45.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1)))),
% 72.86/45.69 inference(monotonicity,[status(thm)],[10573])).
% 72.86/45.69 tff(10575,plain,
% 72.86/45.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))),
% 72.86/45.69 inference(transitivity,[status(thm)],[10574, 10572])).
% 72.86/45.69 tff(10576,plain,
% 72.86/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1))),
% 72.86/45.69 inference(quant_inst,[status(thm)],[])).
% 72.86/45.69 tff(10577,plain,
% 72.86/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1)),
% 72.86/45.69 inference(modus_ponens,[status(thm)],[10576, 10575])).
% 72.86/45.69 tff(10578,plain,
% 72.86/45.69 ((~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10577, 872, 10528])).
% 72.86/45.69 tff(10579,plain,
% 72.86/45.69 ((~v90(constB64, bitIndex1)) | v90(constB65, bitIndex1)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10578, 10540])).
% 72.86/45.69 tff(10580,plain,
% 72.86/45.69 (v90(constB65, bitIndex1)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10579, 10571])).
% 72.86/45.69 tff(10581,plain,
% 72.86/45.69 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB63)) | (~v130(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB63)) | (~v130(constB63, bitIndex0)))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10582,plain,
% 72.86/45.69 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB63)) | (~v130(constB63, bitIndex0)))),
% 72.86/45.69 inference(quant_inst,[status(thm)],[])).
% 72.86/45.69 tff(10583,plain,
% 72.86/45.69 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB63)) | (~v130(constB63, bitIndex0))),
% 72.86/45.69 inference(modus_ponens,[status(thm)],[10582, 10581])).
% 72.86/45.69 tff(10584,plain,
% 72.86/45.69 (~v130(constB63, bitIndex0)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10583, 891, 9971])).
% 72.86/45.69 tff(10585,plain,
% 72.86/45.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10586,plain,
% 72.86/45.69 ((v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0))) <=> ((~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10587,plain,
% 72.86/45.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0)))),
% 72.86/45.69 inference(monotonicity,[status(thm)],[10586])).
% 72.86/45.69 tff(10588,plain,
% 72.86/45.69 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))),
% 72.86/45.69 inference(transitivity,[status(thm)],[10587, 10585])).
% 72.86/45.69 tff(10589,plain,
% 72.86/45.69 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0)))),
% 72.86/45.69 inference(quant_inst,[status(thm)],[])).
% 72.86/45.69 tff(10590,plain,
% 72.86/45.69 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0)),
% 72.86/45.69 inference(modus_ponens,[status(thm)],[10589, 10588])).
% 72.86/45.69 tff(10591,plain,
% 72.86/45.69 ((~v127(constB63, bitIndex0)) | v130(constB63, bitIndex0)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10590, 905, 9979])).
% 72.86/45.69 tff(10592,plain,
% 72.86/45.69 (~v127(constB63, bitIndex0)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10591, 10584])).
% 72.86/45.69 tff(10593,plain,
% 72.86/45.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0)))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10594,plain,
% 72.86/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0)))),
% 72.86/45.69 inference(quant_inst,[status(thm)],[])).
% 72.86/45.69 tff(10595,plain,
% 72.86/45.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0))),
% 72.86/45.69 inference(modus_ponens,[status(thm)],[10594, 10593])).
% 72.86/45.69 tff(10596,plain,
% 72.86/45.69 (v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0))),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10595, 923, 9990])).
% 72.86/45.69 tff(10597,plain,
% 72.86/45.69 (~v129(constB64, bitIndex0)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10596, 10592])).
% 72.86/45.69 tff(10598,plain,
% 72.86/45.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10599,plain,
% 72.86/45.69 (((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0)) <=> ((~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))),
% 72.86/45.69 inference(rewrite,[status(thm)],[])).
% 72.86/45.69 tff(10600,plain,
% 72.86/45.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64))))),
% 72.86/45.69 inference(monotonicity,[status(thm)],[10599])).
% 72.86/45.69 tff(10601,plain,
% 72.86/45.69 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))),
% 72.86/45.69 inference(transitivity,[status(thm)],[10600, 10598])).
% 72.86/45.69 tff(10602,plain,
% 72.86/45.69 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0))),
% 72.86/45.69 inference(quant_inst,[status(thm)],[])).
% 72.86/45.69 tff(10603,plain,
% 72.86/45.69 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64))),
% 72.86/45.69 inference(modus_ponens,[status(thm)],[10602, 10601])).
% 72.86/45.69 tff(10604,plain,
% 72.86/45.69 ((~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10603, 938, 10514])).
% 72.86/45.69 tff(10605,plain,
% 72.86/45.69 (~v90(constB64, bitIndex0)),
% 72.86/45.69 inference(unit_resolution,[status(thm)],[10604, 10597])).
% 72.86/45.70 tff(10606,plain,
% 72.86/45.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10607,plain,
% 72.86/45.70 (((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0))) <=> (v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10608,plain,
% 72.86/45.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0))))),
% 72.86/45.70 inference(monotonicity,[status(thm)],[10607])).
% 72.86/45.70 tff(10609,plain,
% 72.86/45.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 72.86/45.70 inference(transitivity,[status(thm)],[10608, 10606])).
% 72.86/45.70 tff(10610,plain,
% 72.86/45.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 72.86/45.70 inference(quant_inst,[status(thm)],[])).
% 72.86/45.70 tff(10611,plain,
% 72.86/45.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0))),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10610, 10609])).
% 72.86/45.70 tff(10612,plain,
% 72.86/45.70 (v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0))),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10611, 130, 10528])).
% 72.86/45.70 tff(10613,plain,
% 72.86/45.70 (v90(constB64, bitIndex0) | (~v90(constB65, bitIndex0))),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10612, 10540])).
% 72.86/45.70 tff(10614,plain,
% 72.86/45.70 (~v90(constB65, bitIndex0)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10613, 10605])).
% 72.86/45.70 tff(10615,plain,
% 72.86/45.70 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v121(constB65))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v121(constB65))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10616,plain,
% 72.86/45.70 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v121(constB65))),
% 72.86/45.70 inference(quant_inst,[status(thm)],[])).
% 72.86/45.70 tff(10617,plain,
% 72.86/45.70 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v121(constB65)),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10616, 10615])).
% 72.86/45.70 tff(10618,plain,
% 72.86/45.70 (v121(constB65)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10617, 965, 10614, 10580, 10549])).
% 72.86/45.70 tff(10619,plain,
% 72.86/45.70 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB65) | (~v121(constB65)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB65) | (~v121(constB65)))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10620,plain,
% 72.86/45.70 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB65) | (~v121(constB65)))),
% 72.86/45.70 inference(quant_inst,[status(thm)],[])).
% 72.86/45.70 tff(10621,plain,
% 72.86/45.70 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB65) | (~v121(constB65))),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10620, 10619])).
% 72.86/45.70 tff(10622,plain,
% 72.86/45.70 (v117(constB65)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10621, 976, 10618])).
% 72.86/45.70 tff(10623,plain,
% 72.86/45.70 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB65) | (~v117(constB65)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB65) | (~v117(constB65)))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10624,plain,
% 72.86/45.70 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB65) | (~v117(constB65)))),
% 72.86/45.70 inference(quant_inst,[status(thm)],[])).
% 72.86/45.70 tff(10625,plain,
% 72.86/45.70 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB65) | (~v117(constB65))),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10624, 10623])).
% 72.86/45.70 tff(10626,plain,
% 72.86/45.70 (v116(constB65)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10625, 254, 10622])).
% 72.86/45.70 tff(10627,plain,
% 72.86/45.70 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB65) | (~v116(constB65)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB65) | (~v116(constB65)))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10628,plain,
% 72.86/45.70 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB65) | (~v116(constB65)))),
% 72.86/45.70 inference(quant_inst,[status(thm)],[])).
% 72.86/45.70 tff(10629,plain,
% 72.86/45.70 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB65) | (~v116(constB65))),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10628, 10627])).
% 72.86/45.70 tff(10630,plain,
% 72.86/45.70 (v115(constB65)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10629, 265, 10626])).
% 72.86/45.70 tff(10631,plain,
% 72.86/45.70 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB65) | (~v115(constB65)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB65) | (~v115(constB65)))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10632,plain,
% 72.86/45.70 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB65) | (~v115(constB65)))),
% 72.86/45.70 inference(quant_inst,[status(thm)],[])).
% 72.86/45.70 tff(10633,plain,
% 72.86/45.70 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB65) | (~v115(constB65))),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10632, 10631])).
% 72.86/45.70 tff(10634,plain,
% 72.86/45.70 (v114(constB65)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10633, 276, 10630])).
% 72.86/45.70 tff(10635,plain,
% 72.86/45.70 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB65) | (~v114(constB65)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB65) | (~v114(constB65)))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10636,plain,
% 72.86/45.70 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB65) | (~v114(constB65)))),
% 72.86/45.70 inference(quant_inst,[status(thm)],[])).
% 72.86/45.70 tff(10637,plain,
% 72.86/45.70 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB65) | (~v114(constB65))),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10636, 10635])).
% 72.86/45.70 tff(10638,plain,
% 72.86/45.70 (v113(constB65)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10637, 287, 10634])).
% 72.86/45.70 tff(10639,assumption,(v26(constB65)), introduced(assumption)).
% 72.86/45.70 tff(10640,plain,
% 72.86/45.70 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB65))),
% 72.86/45.70 inference(quant_inst,[status(thm)],[])).
% 72.86/45.70 tff(10641,plain,
% 72.86/45.70 ($false),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10640, 37, 10639])).
% 72.86/45.70 tff(10642,plain,(~v26(constB65)), inference(lemma,lemma(discharge,[]))).
% 72.86/45.70 tff(10643,plain,
% 72.86/45.70 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | v112(constB65) | (~v113(constB65)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | v112(constB65) | (~v113(constB65)))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10644,plain,
% 72.86/45.70 ((v26(constB65) | (~v113(constB65)) | v112(constB65)) <=> (v26(constB65) | v112(constB65) | (~v113(constB65)))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10645,plain,
% 72.86/45.70 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | v112(constB65) | (~v113(constB65))))),
% 72.86/45.70 inference(monotonicity,[status(thm)],[10644])).
% 72.86/45.70 tff(10646,plain,
% 72.86/45.70 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | v112(constB65) | (~v113(constB65)))),
% 72.86/45.70 inference(transitivity,[status(thm)],[10645, 10643])).
% 72.86/45.70 tff(10647,plain,
% 72.86/45.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))),
% 72.86/45.70 inference(quant_inst,[status(thm)],[])).
% 72.86/45.70 tff(10648,plain,
% 72.86/45.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | v112(constB65) | (~v113(constB65))),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10647, 10646])).
% 72.86/45.70 tff(10649,plain,
% 72.86/45.70 (v112(constB65) | (~v113(constB65))),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10648, 301, 10642])).
% 72.86/45.70 tff(10650,plain,
% 72.86/45.70 (v112(constB65)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10649, 10638])).
% 72.86/45.70 tff(10651,plain,
% 72.86/45.70 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB65) | (~v112(constB65)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB65) | (~v112(constB65)))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10652,plain,
% 72.86/45.70 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB65) | (~v112(constB65)))),
% 72.86/45.70 inference(quant_inst,[status(thm)],[])).
% 72.86/45.70 tff(10653,plain,
% 72.86/45.70 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB65) | (~v112(constB65))),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10652, 10651])).
% 72.86/45.70 tff(10654,plain,
% 72.86/45.70 (v108(constB65)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10653, 210, 10650])).
% 72.86/45.70 tff(10655,plain,
% 72.86/45.70 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10656,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_65_1')).
% 72.86/45.70 tff(10657,plain,
% 72.86/45.70 (nextState(constB65, constB66)),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10656, 10655])).
% 72.86/45.70 tff(10658,plain,
% 72.86/45.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10659,plain,
% 72.86/45.70 (((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66)) <=> ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10660,plain,
% 72.86/45.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65))))),
% 72.86/45.70 inference(monotonicity,[status(thm)],[10659])).
% 72.86/45.70 tff(10661,plain,
% 72.86/45.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 72.86/45.70 inference(transitivity,[status(thm)],[10660, 10658])).
% 72.86/45.70 tff(10662,plain,
% 72.86/45.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))),
% 72.86/45.70 inference(quant_inst,[status(thm)],[])).
% 72.86/45.70 tff(10663,plain,
% 72.86/45.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65))),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10662, 10661])).
% 72.86/45.70 tff(10664,plain,
% 72.86/45.70 (v110(constB66) | (~v108(constB65))),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10663, 317, 10657])).
% 72.86/45.70 tff(10665,plain,
% 72.86/45.70 (v110(constB66)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10664, 10654])).
% 72.86/45.70 tff(10666,plain,
% 72.86/45.70 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10667,plain,
% 72.86/45.70 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))),
% 72.86/45.70 inference(quant_inst,[status(thm)],[])).
% 72.86/45.70 tff(10668,plain,
% 72.86/45.70 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66))),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10667, 10666])).
% 72.86/45.70 tff(10669,plain,
% 72.86/45.70 (~v104(constB66)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10668, 335, 10657, 10525])).
% 72.86/45.70 tff(10670,plain,
% 72.86/45.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10671,plain,
% 72.86/45.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))),
% 72.86/45.70 inference(quant_inst,[status(thm)],[])).
% 72.86/45.70 tff(10672,plain,
% 72.86/45.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v102(constB66) | v104(constB66)),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10671, 10670])).
% 72.86/45.70 tff(10673,plain,
% 72.86/45.70 (v102(constB66) | v104(constB66)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10672, 349, 10657])).
% 72.86/45.70 tff(10674,plain,
% 72.86/45.70 (v102(constB66)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10673, 10669])).
% 72.86/45.70 tff(10675,plain,
% 72.86/45.70 (v1(constB66) <=> v1(constB66)),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10676,axiom,(v1(constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_66_1')).
% 72.86/45.70 tff(10677,plain,
% 72.86/45.70 (v1(constB66)),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10676, 10675])).
% 72.86/45.70 tff(10678,plain,
% 72.86/45.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10679,plain,
% 72.86/45.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))),
% 72.86/45.70 inference(quant_inst,[status(thm)],[])).
% 72.86/45.70 tff(10680,plain,
% 72.86/45.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66))),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10679, 10678])).
% 72.86/45.70 tff(10681,plain,
% 72.86/45.70 (v101(constB66) | (~v102(constB66))),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10680, 367, 10657, 10677])).
% 72.86/45.70 tff(10682,plain,
% 72.86/45.70 (v101(constB66)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10681, 10674])).
% 72.86/45.70 tff(10683,plain,
% 72.86/45.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10684,plain,
% 72.86/45.70 (((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66)) <=> ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10685,plain,
% 72.86/45.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66))))),
% 72.86/45.70 inference(monotonicity,[status(thm)],[10684])).
% 72.86/45.70 tff(10686,plain,
% 72.86/45.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 72.86/45.70 inference(transitivity,[status(thm)],[10685, 10683])).
% 72.86/45.70 tff(10687,plain,
% 72.86/45.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))),
% 72.86/45.70 inference(quant_inst,[status(thm)],[])).
% 72.86/45.70 tff(10688,plain,
% 72.86/45.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66))),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10687, 10686])).
% 72.86/45.70 tff(10689,plain,
% 72.86/45.70 (v100(constB66) | (~v101(constB66)) | (~v110(constB66))),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10688, 382, 10657])).
% 72.86/45.70 tff(10690,plain,
% 72.86/45.70 (v100(constB66) | (~v110(constB66))),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10689, 10682])).
% 72.86/45.70 tff(10691,plain,
% 72.86/45.70 (v100(constB66)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10690, 10665])).
% 72.86/45.70 tff(10692,plain,
% 72.86/45.70 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB65)) | (~v130(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB65)) | (~v130(constB65, bitIndex2)))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10693,plain,
% 72.86/45.70 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB65)) | (~v130(constB65, bitIndex2)))),
% 72.86/45.70 inference(quant_inst,[status(thm)],[])).
% 72.86/45.70 tff(10694,plain,
% 72.86/45.70 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB65)) | (~v130(constB65, bitIndex2))),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10693, 10692])).
% 72.86/45.70 tff(10695,plain,
% 72.86/45.70 (~v130(constB65, bitIndex2)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10694, 1059, 10618])).
% 72.86/45.70 tff(10696,plain,
% 72.86/45.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10697,plain,
% 72.86/45.70 ((v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2))) <=> ((~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10698,plain,
% 72.86/45.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2)))),
% 72.86/45.70 inference(monotonicity,[status(thm)],[10697])).
% 72.86/45.70 tff(10699,plain,
% 72.86/45.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))),
% 72.86/45.70 inference(transitivity,[status(thm)],[10698, 10696])).
% 72.86/45.70 tff(10700,plain,
% 72.86/45.70 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2)))),
% 72.86/45.70 inference(quant_inst,[status(thm)],[])).
% 72.86/45.70 tff(10701,plain,
% 72.86/45.70 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2)),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10700, 10699])).
% 72.86/45.70 tff(10702,plain,
% 72.86/45.70 ((~v127(constB65, bitIndex2)) | v130(constB65, bitIndex2)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10701, 470, 10642])).
% 72.86/45.70 tff(10703,plain,
% 72.86/45.70 (~v127(constB65, bitIndex2)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10702, 10695])).
% 72.86/45.70 tff(10704,plain,
% 72.86/45.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2)))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10705,plain,
% 72.86/45.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2)))),
% 72.86/45.70 inference(quant_inst,[status(thm)],[])).
% 72.86/45.70 tff(10706,plain,
% 72.86/45.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2))),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10705, 10704])).
% 72.86/45.70 tff(10707,plain,
% 72.86/45.70 (v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2))),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10706, 488, 10657])).
% 72.86/45.70 tff(10708,plain,
% 72.86/45.70 (~v129(constB66, bitIndex2)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10707, 10703])).
% 72.86/45.70 tff(10709,plain,
% 72.86/45.70 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10710,plain,
% 72.86/45.70 (((~v90(constB66, bitIndex2)) | (~v100(constB66)) | v129(constB66, bitIndex2)) <=> ((~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10711,plain,
% 72.86/45.70 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB66, bitIndex2)) | (~v100(constB66)) | v129(constB66, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66))))),
% 72.86/45.70 inference(monotonicity,[status(thm)],[10710])).
% 72.86/45.70 tff(10712,plain,
% 72.86/45.70 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB66, bitIndex2)) | (~v100(constB66)) | v129(constB66, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))),
% 72.86/45.70 inference(transitivity,[status(thm)],[10711, 10709])).
% 72.86/45.70 tff(10713,plain,
% 72.86/45.70 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB66, bitIndex2)) | (~v100(constB66)) | v129(constB66, bitIndex2))),
% 72.86/45.70 inference(quant_inst,[status(thm)],[])).
% 72.86/45.70 tff(10714,plain,
% 72.86/45.70 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66))),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10713, 10712])).
% 72.86/45.70 tff(10715,plain,
% 72.86/45.70 ((~v90(constB66, bitIndex2)) | (~v100(constB66))),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10714, 503, 10708])).
% 72.86/45.70 tff(10716,plain,
% 72.86/45.70 (~v90(constB66, bitIndex2)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10715, 10691])).
% 72.86/45.70 tff(10717,plain,
% 72.86/45.70 ((~v1(constB67)) <=> (~v1(constB67))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10718,axiom,(~v1(constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_67_1_1')).
% 72.86/45.70 tff(10719,plain,
% 72.86/45.70 (~v1(constB67)),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10718, 10717])).
% 72.86/45.70 tff(10720,plain,
% 72.86/45.70 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10721,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_66_1')).
% 72.86/45.70 tff(10722,plain,
% 72.86/45.70 (nextState(constB66, constB67)),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10721, 10720])).
% 72.86/45.70 tff(10723,plain,
% 72.86/45.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10724,plain,
% 72.86/45.70 (((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67)) <=> (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10725,plain,
% 72.86/45.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67))))),
% 72.86/45.70 inference(monotonicity,[status(thm)],[10724])).
% 72.86/45.70 tff(10726,plain,
% 72.86/45.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 72.86/45.70 inference(transitivity,[status(thm)],[10725, 10723])).
% 72.86/45.70 tff(10727,plain,
% 72.86/45.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))),
% 72.86/45.70 inference(quant_inst,[status(thm)],[])).
% 72.86/45.70 tff(10728,plain,
% 72.86/45.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67))),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10727, 10726])).
% 72.86/45.70 tff(10729,plain,
% 72.86/45.70 (~v101(constB67)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10728, 56, 10722, 10719])).
% 72.86/45.70 tff(10730,plain,
% 72.86/45.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10731,plain,
% 72.86/45.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))),
% 72.86/45.70 inference(quant_inst,[status(thm)],[])).
% 72.86/45.70 tff(10732,plain,
% 72.86/45.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67))),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10731, 10730])).
% 72.86/45.70 tff(10733,plain,
% 72.86/45.70 (v101(constB67) | (~v100(constB67))),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10732, 73, 10722])).
% 72.86/45.70 tff(10734,plain,
% 72.86/45.70 (~v100(constB67)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10733, 10729])).
% 72.86/45.70 tff(10735,plain,
% 72.86/45.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10736,plain,
% 72.86/45.70 (((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2))) <=> (v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10737,plain,
% 72.86/45.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2))))),
% 72.86/45.70 inference(monotonicity,[status(thm)],[10736])).
% 72.86/45.70 tff(10738,plain,
% 72.86/45.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 72.86/45.70 inference(transitivity,[status(thm)],[10737, 10735])).
% 72.86/45.70 tff(10739,plain,
% 72.86/45.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 72.86/45.70 inference(quant_inst,[status(thm)],[])).
% 72.86/45.70 tff(10740,plain,
% 72.86/45.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2))),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10739, 10738])).
% 72.86/45.70 tff(10741,plain,
% 72.86/45.70 (v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2))),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10740, 88, 10722])).
% 72.86/45.70 tff(10742,plain,
% 72.86/45.70 (v90(constB66, bitIndex2) | (~v90(constB67, bitIndex2))),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10741, 10734])).
% 72.86/45.70 tff(10743,plain,
% 72.86/45.70 (~v90(constB67, bitIndex2)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10742, 10716])).
% 72.86/45.70 tff(10744,plain,
% 72.86/45.70 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB65)) | v130(constB65, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB65)) | v130(constB65, bitIndex1))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10745,plain,
% 72.86/45.70 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB65)) | v130(constB65, bitIndex1))),
% 72.86/45.70 inference(quant_inst,[status(thm)],[])).
% 72.86/45.70 tff(10746,plain,
% 72.86/45.70 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB65)) | v130(constB65, bitIndex1)),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10745, 10744])).
% 72.86/45.70 tff(10747,plain,
% 72.86/45.70 (v130(constB65, bitIndex1)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10746, 1121, 10618])).
% 72.86/45.70 tff(10748,plain,
% 72.86/45.70 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB65) | (~v130(constB65, bitIndex1)) | v127(constB65, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB65) | (~v130(constB65, bitIndex1)) | v127(constB65, bitIndex1))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10749,plain,
% 72.86/45.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB65) | (~v130(constB65, bitIndex1)) | v127(constB65, bitIndex1))),
% 72.86/45.70 inference(quant_inst,[status(thm)],[])).
% 72.86/45.70 tff(10750,plain,
% 72.86/45.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB65) | (~v130(constB65, bitIndex1)) | v127(constB65, bitIndex1)),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10749, 10748])).
% 72.86/45.70 tff(10751,plain,
% 72.86/45.70 ((~v130(constB65, bitIndex1)) | v127(constB65, bitIndex1)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10750, 824, 10642])).
% 72.86/45.70 tff(10752,plain,
% 72.86/45.70 (v127(constB65, bitIndex1)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10751, 10747])).
% 72.86/45.70 tff(10753,plain,
% 72.86/45.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex1)) | v129(constB66, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex1)) | v129(constB66, bitIndex1))),
% 72.86/45.70 inference(rewrite,[status(thm)],[])).
% 72.86/45.70 tff(10754,plain,
% 72.86/45.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex1)) | v129(constB66, bitIndex1))),
% 72.86/45.70 inference(quant_inst,[status(thm)],[])).
% 72.86/45.70 tff(10755,plain,
% 72.86/45.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex1)) | v129(constB66, bitIndex1)),
% 72.86/45.70 inference(modus_ponens,[status(thm)],[10754, 10753])).
% 72.86/45.70 tff(10756,plain,
% 72.86/45.70 ((~v127(constB65, bitIndex1)) | v129(constB66, bitIndex1)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10755, 839, 10657])).
% 72.86/45.70 tff(10757,plain,
% 72.86/45.70 (v129(constB66, bitIndex1)),
% 72.86/45.70 inference(unit_resolution,[status(thm)],[10756, 10752])).
% 72.86/45.70 tff(10758,plain,
% 72.86/45.70 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1)) | (~v100(constB66)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1)) | (~v100(constB66)))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10759,plain,
% 72.86/45.71 ((v90(constB66, bitIndex1) | (~v100(constB66)) | (~v129(constB66, bitIndex1))) <=> (v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1)) | (~v100(constB66)))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10760,plain,
% 72.86/45.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~v100(constB66)) | (~v129(constB66, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1)) | (~v100(constB66))))),
% 72.86/45.71 inference(monotonicity,[status(thm)],[10759])).
% 72.86/45.71 tff(10761,plain,
% 72.86/45.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~v100(constB66)) | (~v129(constB66, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1)) | (~v100(constB66)))),
% 72.86/45.71 inference(transitivity,[status(thm)],[10760, 10758])).
% 72.86/45.71 tff(10762,plain,
% 72.86/45.71 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~v100(constB66)) | (~v129(constB66, bitIndex1)))),
% 72.86/45.71 inference(quant_inst,[status(thm)],[])).
% 72.86/45.71 tff(10763,plain,
% 72.86/45.71 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1)) | (~v100(constB66))),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10762, 10761])).
% 72.86/45.71 tff(10764,plain,
% 72.86/45.71 (v90(constB66, bitIndex1) | (~v100(constB66))),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10763, 854, 10757])).
% 72.86/45.71 tff(10765,plain,
% 72.86/45.71 (v90(constB66, bitIndex1)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10764, 10691])).
% 72.86/45.71 tff(10766,plain,
% 72.86/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex1))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10767,plain,
% 72.86/45.71 (((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex1)) | v100(constB67) | v90(constB67, bitIndex1)) <=> ((~v90(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex1))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10768,plain,
% 72.86/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex1)) | v100(constB67) | v90(constB67, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex1)))),
% 72.86/45.71 inference(monotonicity,[status(thm)],[10767])).
% 72.86/45.71 tff(10769,plain,
% 72.86/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex1)) | v100(constB67) | v90(constB67, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex1))),
% 72.86/45.71 inference(transitivity,[status(thm)],[10768, 10766])).
% 72.86/45.71 tff(10770,plain,
% 72.86/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex1)) | v100(constB67) | v90(constB67, bitIndex1))),
% 72.86/45.71 inference(quant_inst,[status(thm)],[])).
% 72.86/45.71 tff(10771,plain,
% 72.86/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex1)),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10770, 10769])).
% 72.86/45.71 tff(10772,plain,
% 72.86/45.71 ((~v90(constB66, bitIndex1)) | v100(constB67) | v90(constB67, bitIndex1)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10771, 872, 10722])).
% 72.86/45.71 tff(10773,plain,
% 72.86/45.71 ((~v90(constB66, bitIndex1)) | v90(constB67, bitIndex1)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10772, 10734])).
% 72.86/45.71 tff(10774,plain,
% 72.86/45.71 (v90(constB67, bitIndex1)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10773, 10765])).
% 72.86/45.71 tff(10775,plain,
% 72.86/45.71 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB65)) | v130(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB65)) | v130(constB65, bitIndex0))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10776,plain,
% 72.86/45.71 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB65)) | v130(constB65, bitIndex0))),
% 72.86/45.71 inference(quant_inst,[status(thm)],[])).
% 72.86/45.71 tff(10777,plain,
% 72.86/45.71 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB65)) | v130(constB65, bitIndex0)),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10776, 10775])).
% 72.86/45.71 tff(10778,plain,
% 72.86/45.71 (v130(constB65, bitIndex0)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10777, 1162, 10618])).
% 72.86/45.71 tff(10779,plain,
% 72.86/45.71 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10780,plain,
% 72.86/45.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0))),
% 72.86/45.71 inference(quant_inst,[status(thm)],[])).
% 72.86/45.71 tff(10781,plain,
% 72.86/45.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0)),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10780, 10779])).
% 72.86/45.71 tff(10782,plain,
% 72.86/45.71 ((~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10781, 179, 10642])).
% 72.86/45.71 tff(10783,plain,
% 72.86/45.71 (v127(constB65, bitIndex0)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10782, 10778])).
% 72.86/45.71 tff(10784,plain,
% 72.86/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10785,plain,
% 72.86/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0))),
% 72.86/45.71 inference(quant_inst,[status(thm)],[])).
% 72.86/45.71 tff(10786,plain,
% 72.86/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0)),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10785, 10784])).
% 72.86/45.71 tff(10787,plain,
% 72.86/45.71 ((~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10786, 197, 10657])).
% 72.86/45.71 tff(10788,plain,
% 72.86/45.71 (v129(constB66, bitIndex0)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10787, 10783])).
% 72.86/45.71 tff(10789,plain,
% 72.86/45.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10790,plain,
% 72.86/45.71 ((v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0))) <=> (v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10791,plain,
% 72.86/45.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66))))),
% 72.86/45.71 inference(monotonicity,[status(thm)],[10790])).
% 72.86/45.71 tff(10792,plain,
% 72.86/45.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))),
% 72.86/45.71 inference(transitivity,[status(thm)],[10791, 10789])).
% 72.86/45.71 tff(10793,plain,
% 72.86/45.71 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0)))),
% 72.86/45.71 inference(quant_inst,[status(thm)],[])).
% 72.86/45.71 tff(10794,plain,
% 72.86/45.71 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66))),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10793, 10792])).
% 72.86/45.71 tff(10795,plain,
% 72.86/45.71 (v90(constB66, bitIndex0) | (~v100(constB66))),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10794, 401, 10788])).
% 72.86/45.71 tff(10796,plain,
% 72.86/45.71 (v90(constB66, bitIndex0)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10795, 10691])).
% 72.86/45.71 tff(10797,plain,
% 72.86/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10798,plain,
% 72.86/45.71 (((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0)) <=> ((~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10799,plain,
% 72.86/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0)))),
% 72.86/45.71 inference(monotonicity,[status(thm)],[10798])).
% 72.86/45.71 tff(10800,plain,
% 72.86/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))),
% 72.86/45.71 inference(transitivity,[status(thm)],[10799, 10797])).
% 72.86/45.71 tff(10801,plain,
% 72.86/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0))),
% 72.86/45.71 inference(quant_inst,[status(thm)],[])).
% 72.86/45.71 tff(10802,plain,
% 72.86/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0)),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10801, 10800])).
% 72.86/45.71 tff(10803,plain,
% 72.86/45.71 ((~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10802, 437, 10722])).
% 72.86/45.71 tff(10804,plain,
% 72.86/45.71 ((~v90(constB66, bitIndex0)) | v90(constB67, bitIndex0)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10803, 10734])).
% 72.86/45.71 tff(10805,plain,
% 72.86/45.71 (v90(constB67, bitIndex0)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10804, 10796])).
% 72.86/45.71 tff(10806,plain,
% 72.86/45.71 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v122(constB67))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v122(constB67))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10807,plain,
% 72.86/45.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v122(constB67))),
% 72.86/45.71 inference(quant_inst,[status(thm)],[])).
% 72.86/45.71 tff(10808,plain,
% 72.86/45.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)) | v90(constB67, bitIndex2) | v122(constB67)),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10807, 10806])).
% 72.86/45.71 tff(10809,plain,
% 72.86/45.71 (v122(constB67)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10808, 1203, 10805, 10774, 10743])).
% 72.86/45.71 tff(10810,plain,
% 72.86/45.71 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB67) | (~v122(constB67)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB67) | (~v122(constB67)))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10811,plain,
% 72.86/45.71 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB67) | (~v122(constB67)))),
% 72.86/45.71 inference(quant_inst,[status(thm)],[])).
% 72.86/45.71 tff(10812,plain,
% 72.86/45.71 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB67) | (~v122(constB67))),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10811, 10810])).
% 72.86/45.71 tff(10813,plain,
% 72.86/45.71 (v116(constB67)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10812, 1214, 10809])).
% 72.86/45.71 tff(10814,plain,
% 72.86/45.71 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB67) | (~v116(constB67)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB67) | (~v116(constB67)))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10815,plain,
% 72.86/45.71 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB67) | (~v116(constB67)))),
% 72.86/45.71 inference(quant_inst,[status(thm)],[])).
% 72.86/45.71 tff(10816,plain,
% 72.86/45.71 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB67) | (~v116(constB67))),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10815, 10814])).
% 72.86/45.71 tff(10817,plain,
% 72.86/45.71 (v115(constB67)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10816, 265, 10813])).
% 72.86/45.71 tff(10818,plain,
% 72.86/45.71 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB67) | (~v115(constB67)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB67) | (~v115(constB67)))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10819,plain,
% 72.86/45.71 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB67) | (~v115(constB67)))),
% 72.86/45.71 inference(quant_inst,[status(thm)],[])).
% 72.86/45.71 tff(10820,plain,
% 72.86/45.71 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB67) | (~v115(constB67))),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10819, 10818])).
% 72.86/45.71 tff(10821,plain,
% 72.86/45.71 (v114(constB67)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10820, 276, 10817])).
% 72.86/45.71 tff(10822,plain,
% 72.86/45.71 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB67) | (~v114(constB67)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB67) | (~v114(constB67)))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10823,plain,
% 72.86/45.71 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB67) | (~v114(constB67)))),
% 72.86/45.71 inference(quant_inst,[status(thm)],[])).
% 72.86/45.71 tff(10824,plain,
% 72.86/45.71 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB67) | (~v114(constB67))),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10823, 10822])).
% 72.86/45.71 tff(10825,plain,
% 72.86/45.71 (v113(constB67)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10824, 287, 10821])).
% 72.86/45.71 tff(10826,assumption,(v26(constB67)), introduced(assumption)).
% 72.86/45.71 tff(10827,plain,
% 72.86/45.71 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB67))),
% 72.86/45.71 inference(quant_inst,[status(thm)],[])).
% 72.86/45.71 tff(10828,plain,
% 72.86/45.71 ($false),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10827, 37, 10826])).
% 72.86/45.71 tff(10829,plain,(~v26(constB67)), inference(lemma,lemma(discharge,[]))).
% 72.86/45.71 tff(10830,plain,
% 72.86/45.71 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | v112(constB67) | (~v113(constB67)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | v112(constB67) | (~v113(constB67)))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10831,plain,
% 72.86/45.71 ((v26(constB67) | (~v113(constB67)) | v112(constB67)) <=> (v26(constB67) | v112(constB67) | (~v113(constB67)))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10832,plain,
% 72.86/45.71 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | v112(constB67) | (~v113(constB67))))),
% 72.86/45.71 inference(monotonicity,[status(thm)],[10831])).
% 72.86/45.71 tff(10833,plain,
% 72.86/45.71 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | v112(constB67) | (~v113(constB67)))),
% 72.86/45.71 inference(transitivity,[status(thm)],[10832, 10830])).
% 72.86/45.71 tff(10834,plain,
% 72.86/45.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))),
% 72.86/45.71 inference(quant_inst,[status(thm)],[])).
% 72.86/45.71 tff(10835,plain,
% 72.86/45.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | v112(constB67) | (~v113(constB67))),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10834, 10833])).
% 72.86/45.71 tff(10836,plain,
% 72.86/45.71 (v112(constB67) | (~v113(constB67))),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10835, 301, 10829])).
% 72.86/45.71 tff(10837,plain,
% 72.86/45.71 (v112(constB67)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10836, 10825])).
% 72.86/45.71 tff(10838,plain,
% 72.86/45.71 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB67) | (~v112(constB67)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB67) | (~v112(constB67)))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10839,plain,
% 72.86/45.71 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB67) | (~v112(constB67)))),
% 72.86/45.71 inference(quant_inst,[status(thm)],[])).
% 72.86/45.71 tff(10840,plain,
% 72.86/45.71 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB67) | (~v112(constB67))),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10839, 10838])).
% 72.86/45.71 tff(10841,plain,
% 72.86/45.71 (v108(constB67)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10840, 210, 10837])).
% 72.86/45.71 tff(10842,plain,
% 72.86/45.71 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10843,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_67_1')).
% 72.86/45.71 tff(10844,plain,
% 72.86/45.71 (nextState(constB67, constB68)),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10843, 10842])).
% 72.86/45.71 tff(10845,plain,
% 72.86/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10846,plain,
% 72.86/45.71 (((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68)) <=> ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10847,plain,
% 72.86/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67))))),
% 72.86/45.71 inference(monotonicity,[status(thm)],[10846])).
% 72.86/45.71 tff(10848,plain,
% 72.86/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 72.86/45.71 inference(transitivity,[status(thm)],[10847, 10845])).
% 72.86/45.71 tff(10849,plain,
% 72.86/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))),
% 72.86/45.71 inference(quant_inst,[status(thm)],[])).
% 72.86/45.71 tff(10850,plain,
% 72.86/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67))),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10849, 10848])).
% 72.86/45.71 tff(10851,plain,
% 72.86/45.71 (v110(constB68) | (~v108(constB67))),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10850, 317, 10844])).
% 72.86/45.71 tff(10852,plain,
% 72.86/45.71 (v110(constB68)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10851, 10841])).
% 72.86/45.71 tff(10853,plain,
% 72.86/45.71 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10854,plain,
% 72.86/45.71 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))),
% 72.86/45.71 inference(quant_inst,[status(thm)],[])).
% 72.86/45.71 tff(10855,plain,
% 72.86/45.71 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68))),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10854, 10853])).
% 72.86/45.71 tff(10856,plain,
% 72.86/45.71 (~v104(constB68)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10855, 335, 10844, 10719])).
% 72.86/45.71 tff(10857,plain,
% 72.86/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10858,plain,
% 72.86/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))),
% 72.86/45.71 inference(quant_inst,[status(thm)],[])).
% 72.86/45.71 tff(10859,plain,
% 72.86/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v102(constB68) | v104(constB68)),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10858, 10857])).
% 72.86/45.71 tff(10860,plain,
% 72.86/45.71 (v102(constB68) | v104(constB68)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10859, 349, 10844])).
% 72.86/45.71 tff(10861,plain,
% 72.86/45.71 (v102(constB68)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10860, 10856])).
% 72.86/45.71 tff(10862,plain,
% 72.86/45.71 (v1(constB68) <=> v1(constB68)),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10863,axiom,(v1(constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_68_1')).
% 72.86/45.71 tff(10864,plain,
% 72.86/45.71 (v1(constB68)),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10863, 10862])).
% 72.86/45.71 tff(10865,plain,
% 72.86/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10866,plain,
% 72.86/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))),
% 72.86/45.71 inference(quant_inst,[status(thm)],[])).
% 72.86/45.71 tff(10867,plain,
% 72.86/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68))),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10866, 10865])).
% 72.86/45.71 tff(10868,plain,
% 72.86/45.71 (v101(constB68) | (~v102(constB68))),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10867, 367, 10844, 10864])).
% 72.86/45.71 tff(10869,plain,
% 72.86/45.71 (v101(constB68)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10868, 10861])).
% 72.86/45.71 tff(10870,plain,
% 72.86/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10871,plain,
% 72.86/45.71 (((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68)) <=> ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10872,plain,
% 72.86/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68))))),
% 72.86/45.71 inference(monotonicity,[status(thm)],[10871])).
% 72.86/45.71 tff(10873,plain,
% 72.86/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 72.86/45.71 inference(transitivity,[status(thm)],[10872, 10870])).
% 72.86/45.71 tff(10874,plain,
% 72.86/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))),
% 72.86/45.71 inference(quant_inst,[status(thm)],[])).
% 72.86/45.71 tff(10875,plain,
% 72.86/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68))),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10874, 10873])).
% 72.86/45.71 tff(10876,plain,
% 72.86/45.71 (v100(constB68) | (~v101(constB68)) | (~v110(constB68))),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10875, 382, 10844])).
% 72.86/45.71 tff(10877,plain,
% 72.86/45.71 (v100(constB68) | (~v110(constB68))),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10876, 10869])).
% 72.86/45.71 tff(10878,plain,
% 72.86/45.71 (v100(constB68)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10877, 10852])).
% 72.86/45.71 tff(10879,plain,
% 72.86/45.71 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB67)) | v130(constB67, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB67)) | v130(constB67, bitIndex2))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10880,plain,
% 72.86/45.71 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB67)) | v130(constB67, bitIndex2))),
% 72.86/45.71 inference(quant_inst,[status(thm)],[])).
% 72.86/45.71 tff(10881,plain,
% 72.86/45.71 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB67)) | v130(constB67, bitIndex2)),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10880, 10879])).
% 72.86/45.71 tff(10882,plain,
% 72.86/45.71 (v130(constB67, bitIndex2)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10881, 1290, 10809])).
% 72.86/45.71 tff(10883,plain,
% 72.86/45.71 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB67) | (~v130(constB67, bitIndex2)) | v127(constB67, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB67) | (~v130(constB67, bitIndex2)) | v127(constB67, bitIndex2))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10884,plain,
% 72.86/45.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB67) | (~v130(constB67, bitIndex2)) | v127(constB67, bitIndex2))),
% 72.86/45.71 inference(quant_inst,[status(thm)],[])).
% 72.86/45.71 tff(10885,plain,
% 72.86/45.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB67) | (~v130(constB67, bitIndex2)) | v127(constB67, bitIndex2)),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10884, 10883])).
% 72.86/45.71 tff(10886,plain,
% 72.86/45.71 ((~v130(constB67, bitIndex2)) | v127(constB67, bitIndex2)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10885, 1304, 10829])).
% 72.86/45.71 tff(10887,plain,
% 72.86/45.71 (v127(constB67, bitIndex2)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10886, 10882])).
% 72.86/45.71 tff(10888,plain,
% 72.86/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB67, constB68)) | (~v127(constB67, bitIndex2)) | v129(constB68, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB67, constB68)) | (~v127(constB67, bitIndex2)) | v129(constB68, bitIndex2))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10889,plain,
% 72.86/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB67, constB68)) | (~v127(constB67, bitIndex2)) | v129(constB68, bitIndex2))),
% 72.86/45.71 inference(quant_inst,[status(thm)],[])).
% 72.86/45.71 tff(10890,plain,
% 72.86/45.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB67, constB68)) | (~v127(constB67, bitIndex2)) | v129(constB68, bitIndex2)),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10889, 10888])).
% 72.86/45.71 tff(10891,plain,
% 72.86/45.71 ((~v127(constB67, bitIndex2)) | v129(constB68, bitIndex2)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10890, 1319, 10844])).
% 72.86/45.71 tff(10892,plain,
% 72.86/45.71 (v129(constB68, bitIndex2)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10891, 10887])).
% 72.86/45.71 tff(10893,plain,
% 72.86/45.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68)))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10894,plain,
% 72.86/45.71 ((v90(constB68, bitIndex2) | (~v100(constB68)) | (~v129(constB68, bitIndex2))) <=> (v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68)))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10895,plain,
% 72.86/45.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~v100(constB68)) | (~v129(constB68, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68))))),
% 72.86/45.71 inference(monotonicity,[status(thm)],[10894])).
% 72.86/45.71 tff(10896,plain,
% 72.86/45.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~v100(constB68)) | (~v129(constB68, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68)))),
% 72.86/45.71 inference(transitivity,[status(thm)],[10895, 10893])).
% 72.86/45.71 tff(10897,plain,
% 72.86/45.71 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~v100(constB68)) | (~v129(constB68, bitIndex2)))),
% 72.86/45.71 inference(quant_inst,[status(thm)],[])).
% 72.86/45.71 tff(10898,plain,
% 72.86/45.71 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2)) | (~v100(constB68))),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10897, 10896])).
% 72.86/45.71 tff(10899,plain,
% 72.86/45.71 (v90(constB68, bitIndex2) | (~v100(constB68))),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10898, 1334, 10892])).
% 72.86/45.71 tff(10900,plain,
% 72.86/45.71 (v90(constB68, bitIndex2)),
% 72.86/45.71 inference(unit_resolution,[status(thm)],[10899, 10878])).
% 72.86/45.71 tff(10901,plain,
% 72.86/45.71 ((~v1(constB69)) <=> (~v1(constB69))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10902,axiom,(~v1(constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_69_1_1')).
% 72.86/45.71 tff(10903,plain,
% 72.86/45.71 (~v1(constB69)),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10902, 10901])).
% 72.86/45.71 tff(10904,plain,
% 72.86/45.71 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10905,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_68_1')).
% 72.86/45.71 tff(10906,plain,
% 72.86/45.71 (nextState(constB68, constB69)),
% 72.86/45.71 inference(modus_ponens,[status(thm)],[10905, 10904])).
% 72.86/45.71 tff(10907,plain,
% 72.86/45.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10908,plain,
% 72.86/45.71 (((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69)) <=> (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 72.86/45.71 inference(rewrite,[status(thm)],[])).
% 72.86/45.71 tff(10909,plain,
% 72.86/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69))))),
% 72.86/45.72 inference(monotonicity,[status(thm)],[10908])).
% 72.86/45.72 tff(10910,plain,
% 72.86/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 72.86/45.72 inference(transitivity,[status(thm)],[10909, 10907])).
% 72.86/45.72 tff(10911,plain,
% 72.86/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))),
% 72.86/45.72 inference(quant_inst,[status(thm)],[])).
% 72.86/45.72 tff(10912,plain,
% 72.86/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69))),
% 72.86/45.72 inference(modus_ponens,[status(thm)],[10911, 10910])).
% 72.86/45.72 tff(10913,plain,
% 72.86/45.72 (~v101(constB69)),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[10912, 56, 10906, 10903])).
% 72.86/45.72 tff(10914,plain,
% 72.86/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(10915,plain,
% 72.86/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))),
% 72.86/45.72 inference(quant_inst,[status(thm)],[])).
% 72.86/45.72 tff(10916,plain,
% 72.86/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69))),
% 72.86/45.72 inference(modus_ponens,[status(thm)],[10915, 10914])).
% 72.86/45.72 tff(10917,plain,
% 72.86/45.72 (v101(constB69) | (~v100(constB69))),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[10916, 73, 10906])).
% 72.86/45.72 tff(10918,plain,
% 72.86/45.72 (~v100(constB69)),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[10917, 10913])).
% 72.86/45.72 tff(10919,plain,
% 72.86/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex2))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(10920,plain,
% 72.86/45.72 (((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex2)) | v100(constB69) | v90(constB69, bitIndex2)) <=> ((~v90(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex2))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(10921,plain,
% 72.86/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex2)) | v100(constB69) | v90(constB69, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex2)))),
% 72.86/45.72 inference(monotonicity,[status(thm)],[10920])).
% 72.86/45.72 tff(10922,plain,
% 72.86/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex2)) | v100(constB69) | v90(constB69, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex2))),
% 72.86/45.72 inference(transitivity,[status(thm)],[10921, 10919])).
% 72.86/45.72 tff(10923,plain,
% 72.86/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex2)) | v100(constB69) | v90(constB69, bitIndex2))),
% 72.86/45.72 inference(quant_inst,[status(thm)],[])).
% 72.86/45.72 tff(10924,plain,
% 72.86/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex2)),
% 72.86/45.72 inference(modus_ponens,[status(thm)],[10923, 10922])).
% 72.86/45.72 tff(10925,plain,
% 72.86/45.72 ((~v90(constB68, bitIndex2)) | v100(constB69) | v90(constB69, bitIndex2)),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[10924, 1370, 10906])).
% 72.86/45.72 tff(10926,plain,
% 72.86/45.72 ((~v90(constB68, bitIndex2)) | v90(constB69, bitIndex2)),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[10925, 10918])).
% 72.86/45.72 tff(10927,plain,
% 72.86/45.72 (v90(constB69, bitIndex2)),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[10926, 10900])).
% 72.86/45.72 tff(10928,plain,
% 72.86/45.72 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB67)) | (~v130(constB67, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB67)) | (~v130(constB67, bitIndex1)))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(10929,plain,
% 72.86/45.72 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB67)) | (~v130(constB67, bitIndex1)))),
% 72.86/45.72 inference(quant_inst,[status(thm)],[])).
% 72.86/45.72 tff(10930,plain,
% 72.86/45.72 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB67)) | (~v130(constB67, bitIndex1))),
% 72.86/45.72 inference(modus_ponens,[status(thm)],[10929, 10928])).
% 72.86/45.72 tff(10931,plain,
% 72.86/45.72 (~v130(constB67, bitIndex1)),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[10930, 1389, 10809])).
% 72.86/45.72 tff(10932,assumption,(v127(constB67, bitIndex1)), introduced(assumption)).
% 72.86/45.72 tff(10933,assumption,(~v130(constB67, bitIndex1)), introduced(assumption)).
% 72.86/45.72 tff(10934,plain,
% 72.86/45.72 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(10935,plain,
% 72.86/45.72 ((v26(constB67) | v130(constB67, bitIndex1) | (~v127(constB67, bitIndex1))) <=> ((~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(10936,plain,
% 72.86/45.72 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB67) | v130(constB67, bitIndex1) | (~v127(constB67, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1)))),
% 72.86/45.72 inference(monotonicity,[status(thm)],[10935])).
% 72.86/45.72 tff(10937,plain,
% 72.86/45.72 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB67) | v130(constB67, bitIndex1) | (~v127(constB67, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1))),
% 72.86/45.72 inference(transitivity,[status(thm)],[10936, 10934])).
% 72.86/45.72 tff(10938,plain,
% 72.86/45.72 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB67) | v130(constB67, bitIndex1) | (~v127(constB67, bitIndex1)))),
% 72.86/45.72 inference(quant_inst,[status(thm)],[])).
% 72.86/45.72 tff(10939,plain,
% 72.86/45.72 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB67, bitIndex1)) | v26(constB67) | v130(constB67, bitIndex1)),
% 72.86/45.72 inference(modus_ponens,[status(thm)],[10938, 10937])).
% 72.86/45.72 tff(10940,plain,
% 72.86/45.72 ((~v127(constB67, bitIndex1)) | v26(constB67)),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[10939, 555, 10933])).
% 72.86/45.72 tff(10941,plain,
% 72.86/45.72 (v26(constB67)),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[10940, 10932])).
% 72.86/45.72 tff(10942,plain,
% 72.86/45.72 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB67)) | (~v127(constB67, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB67)) | (~v127(constB67, bitIndex1)))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(10943,plain,
% 72.86/45.72 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB67)) | (~v127(constB67, bitIndex1)))),
% 72.86/45.72 inference(quant_inst,[status(thm)],[])).
% 72.86/45.72 tff(10944,plain,
% 72.86/45.72 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB67)) | (~v127(constB67, bitIndex1))),
% 72.86/45.72 inference(modus_ponens,[status(thm)],[10943, 10942])).
% 72.86/45.72 tff(10945,plain,
% 72.86/45.72 ($false),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[10944, 573, 10932, 10941])).
% 72.86/45.72 tff(10946,plain,((~v127(constB67, bitIndex1)) | v130(constB67, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.86/45.72 tff(10947,plain,
% 72.86/45.72 (~v127(constB67, bitIndex1)),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[10946, 10931])).
% 72.86/45.72 tff(10948,plain,
% 72.86/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1)))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(10949,plain,
% 72.86/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1)))),
% 72.86/45.72 inference(quant_inst,[status(thm)],[])).
% 72.86/45.72 tff(10950,plain,
% 72.86/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1))),
% 72.86/45.72 inference(modus_ponens,[status(thm)],[10949, 10948])).
% 72.86/45.72 tff(10951,plain,
% 72.86/45.72 (v127(constB67, bitIndex1) | (~v129(constB68, bitIndex1))),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[10950, 588, 10844])).
% 72.86/45.72 tff(10952,plain,
% 72.86/45.72 (~v129(constB68, bitIndex1)),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[10951, 10947])).
% 72.86/45.72 tff(10953,plain,
% 72.86/45.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68)))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(10954,plain,
% 72.86/45.72 (((~v90(constB68, bitIndex1)) | (~v100(constB68)) | v129(constB68, bitIndex1)) <=> ((~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68)))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(10955,plain,
% 72.86/45.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | (~v100(constB68)) | v129(constB68, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68))))),
% 72.86/45.72 inference(monotonicity,[status(thm)],[10954])).
% 72.86/45.72 tff(10956,plain,
% 72.86/45.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | (~v100(constB68)) | v129(constB68, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68)))),
% 72.86/45.72 inference(transitivity,[status(thm)],[10955, 10953])).
% 72.86/45.72 tff(10957,plain,
% 72.86/45.72 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB68, bitIndex1)) | (~v100(constB68)) | v129(constB68, bitIndex1))),
% 72.86/45.72 inference(quant_inst,[status(thm)],[])).
% 72.86/45.72 tff(10958,plain,
% 72.86/45.72 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1) | (~v100(constB68))),
% 72.86/45.72 inference(modus_ponens,[status(thm)],[10957, 10956])).
% 72.86/45.72 tff(10959,plain,
% 72.86/45.72 ((~v90(constB68, bitIndex1)) | (~v100(constB68))),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[10958, 603, 10952])).
% 72.86/45.72 tff(10960,plain,
% 72.86/45.72 (~v90(constB68, bitIndex1)),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[10959, 10878])).
% 72.86/45.72 tff(10961,plain,
% 72.86/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1)))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(10962,plain,
% 72.86/45.72 (((~nextState(constB68, constB69)) | v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1))) <=> (v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1)))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(10963,plain,
% 72.86/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1))))),
% 72.86/45.72 inference(monotonicity,[status(thm)],[10962])).
% 72.86/45.72 tff(10964,plain,
% 72.86/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1)))),
% 72.86/45.72 inference(transitivity,[status(thm)],[10963, 10961])).
% 72.86/45.72 tff(10965,plain,
% 72.86/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1)))),
% 72.86/45.72 inference(quant_inst,[status(thm)],[])).
% 72.86/45.72 tff(10966,plain,
% 72.86/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex1))),
% 72.86/45.72 inference(modus_ponens,[status(thm)],[10965, 10964])).
% 72.86/45.72 tff(10967,plain,
% 72.86/45.72 (v90(constB68, bitIndex1) | v100(constB69) | (~v90(constB69, bitIndex1))),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[10966, 109, 10906])).
% 72.86/45.72 tff(10968,plain,
% 72.86/45.72 (v90(constB68, bitIndex1) | (~v90(constB69, bitIndex1))),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[10967, 10918])).
% 72.86/45.72 tff(10969,plain,
% 72.86/45.72 (~v90(constB69, bitIndex1)),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[10968, 10960])).
% 72.86/45.72 tff(10970,plain,
% 72.86/45.72 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB67)) | (~v130(constB67, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB67)) | (~v130(constB67, bitIndex0)))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(10971,plain,
% 72.86/45.72 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB67)) | (~v130(constB67, bitIndex0)))),
% 72.86/45.72 inference(quant_inst,[status(thm)],[])).
% 72.86/45.72 tff(10972,plain,
% 72.86/45.72 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB67)) | (~v130(constB67, bitIndex0))),
% 72.86/45.72 inference(modus_ponens,[status(thm)],[10971, 10970])).
% 72.86/45.72 tff(10973,plain,
% 72.86/45.72 (~v130(constB67, bitIndex0)),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[10972, 1433, 10809])).
% 72.86/45.72 tff(10974,plain,
% 72.86/45.72 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(10975,plain,
% 72.86/45.72 ((v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0))) <=> ((~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(10976,plain,
% 72.86/45.72 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0)))),
% 72.86/45.72 inference(monotonicity,[status(thm)],[10975])).
% 72.86/45.72 tff(10977,plain,
% 72.86/45.72 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))),
% 72.86/45.72 inference(transitivity,[status(thm)],[10976, 10974])).
% 72.86/45.72 tff(10978,plain,
% 72.86/45.72 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0)))),
% 72.86/45.72 inference(quant_inst,[status(thm)],[])).
% 72.86/45.72 tff(10979,plain,
% 72.86/45.72 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0)),
% 72.86/45.72 inference(modus_ponens,[status(thm)],[10978, 10977])).
% 72.86/45.72 tff(10980,plain,
% 72.86/45.72 ((~v127(constB67, bitIndex0)) | v130(constB67, bitIndex0)),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[10979, 905, 10829])).
% 72.86/45.72 tff(10981,plain,
% 72.86/45.72 (~v127(constB67, bitIndex0)),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[10980, 10973])).
% 72.86/45.72 tff(10982,plain,
% 72.86/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0)))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(10983,plain,
% 72.86/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0)))),
% 72.86/45.72 inference(quant_inst,[status(thm)],[])).
% 72.86/45.72 tff(10984,plain,
% 72.86/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0))),
% 72.86/45.72 inference(modus_ponens,[status(thm)],[10983, 10982])).
% 72.86/45.72 tff(10985,plain,
% 72.86/45.72 (v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0))),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[10984, 923, 10844])).
% 72.86/45.72 tff(10986,plain,
% 72.86/45.72 (~v129(constB68, bitIndex0)),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[10985, 10981])).
% 72.86/45.72 tff(10987,plain,
% 72.86/45.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(10988,plain,
% 72.86/45.72 (((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0)) <=> ((~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(10989,plain,
% 72.86/45.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68))))),
% 72.86/45.72 inference(monotonicity,[status(thm)],[10988])).
% 72.86/45.72 tff(10990,plain,
% 72.86/45.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))),
% 72.86/45.72 inference(transitivity,[status(thm)],[10989, 10987])).
% 72.86/45.72 tff(10991,plain,
% 72.86/45.72 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0))),
% 72.86/45.72 inference(quant_inst,[status(thm)],[])).
% 72.86/45.72 tff(10992,plain,
% 72.86/45.72 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68))),
% 72.86/45.72 inference(modus_ponens,[status(thm)],[10991, 10990])).
% 72.86/45.72 tff(10993,plain,
% 72.86/45.72 ((~v90(constB68, bitIndex0)) | (~v100(constB68))),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[10992, 938, 10986])).
% 72.86/45.72 tff(10994,plain,
% 72.86/45.72 (~v90(constB68, bitIndex0)),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[10993, 10878])).
% 72.86/45.72 tff(10995,plain,
% 72.86/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(10996,plain,
% 72.86/45.72 (((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0))) <=> (v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(10997,plain,
% 72.86/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0))))),
% 72.86/45.72 inference(monotonicity,[status(thm)],[10996])).
% 72.86/45.72 tff(10998,plain,
% 72.86/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 72.86/45.72 inference(transitivity,[status(thm)],[10997, 10995])).
% 72.86/45.72 tff(10999,plain,
% 72.86/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 72.86/45.72 inference(quant_inst,[status(thm)],[])).
% 72.86/45.72 tff(11000,plain,
% 72.86/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0))),
% 72.86/45.72 inference(modus_ponens,[status(thm)],[10999, 10998])).
% 72.86/45.72 tff(11001,plain,
% 72.86/45.72 (v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0))),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[11000, 130, 10906])).
% 72.86/45.72 tff(11002,plain,
% 72.86/45.72 (v90(constB68, bitIndex0) | (~v90(constB69, bitIndex0))),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[11001, 10918])).
% 72.86/45.72 tff(11003,plain,
% 72.86/45.72 (~v90(constB69, bitIndex0)),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[11002, 10994])).
% 72.86/45.72 tff(11004,plain,
% 72.86/45.72 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v123(constB69))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v123(constB69))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(11005,plain,
% 72.86/45.72 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v123(constB69))),
% 72.86/45.72 inference(quant_inst,[status(thm)],[])).
% 72.86/45.72 tff(11006,plain,
% 72.86/45.72 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)) | v123(constB69)),
% 72.86/45.72 inference(modus_ponens,[status(thm)],[11005, 11004])).
% 72.86/45.72 tff(11007,plain,
% 72.86/45.72 (v123(constB69)),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[11006, 1477, 11003, 10969, 10927])).
% 72.86/45.72 tff(11008,plain,
% 72.86/45.72 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB69) | (~v123(constB69)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB69) | (~v123(constB69)))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(11009,plain,
% 72.86/45.72 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB69) | (~v123(constB69)))),
% 72.86/45.72 inference(quant_inst,[status(thm)],[])).
% 72.86/45.72 tff(11010,plain,
% 72.86/45.72 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB69) | (~v123(constB69))),
% 72.86/45.72 inference(modus_ponens,[status(thm)],[11009, 11008])).
% 72.86/45.72 tff(11011,plain,
% 72.86/45.72 (v115(constB69)),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[11010, 1488, 11007])).
% 72.86/45.72 tff(11012,plain,
% 72.86/45.72 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB69) | (~v115(constB69)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB69) | (~v115(constB69)))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(11013,plain,
% 72.86/45.72 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB69) | (~v115(constB69)))),
% 72.86/45.72 inference(quant_inst,[status(thm)],[])).
% 72.86/45.72 tff(11014,plain,
% 72.86/45.72 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB69) | (~v115(constB69))),
% 72.86/45.72 inference(modus_ponens,[status(thm)],[11013, 11012])).
% 72.86/45.72 tff(11015,plain,
% 72.86/45.72 (v114(constB69)),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[11014, 276, 11011])).
% 72.86/45.72 tff(11016,plain,
% 72.86/45.72 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB69) | (~v114(constB69)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB69) | (~v114(constB69)))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(11017,plain,
% 72.86/45.72 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB69) | (~v114(constB69)))),
% 72.86/45.72 inference(quant_inst,[status(thm)],[])).
% 72.86/45.72 tff(11018,plain,
% 72.86/45.72 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB69) | (~v114(constB69))),
% 72.86/45.72 inference(modus_ponens,[status(thm)],[11017, 11016])).
% 72.86/45.72 tff(11019,plain,
% 72.86/45.72 (v113(constB69)),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[11018, 287, 11015])).
% 72.86/45.72 tff(11020,assumption,(v26(constB69)), introduced(assumption)).
% 72.86/45.72 tff(11021,plain,
% 72.86/45.72 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB69))),
% 72.86/45.72 inference(quant_inst,[status(thm)],[])).
% 72.86/45.72 tff(11022,plain,
% 72.86/45.72 ($false),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[11021, 37, 11020])).
% 72.86/45.72 tff(11023,plain,(~v26(constB69)), inference(lemma,lemma(discharge,[]))).
% 72.86/45.72 tff(11024,plain,
% 72.86/45.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | v112(constB69) | (~v113(constB69)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | v112(constB69) | (~v113(constB69)))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(11025,plain,
% 72.86/45.72 ((v26(constB69) | (~v113(constB69)) | v112(constB69)) <=> (v26(constB69) | v112(constB69) | (~v113(constB69)))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(11026,plain,
% 72.86/45.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | v112(constB69) | (~v113(constB69))))),
% 72.86/45.72 inference(monotonicity,[status(thm)],[11025])).
% 72.86/45.72 tff(11027,plain,
% 72.86/45.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | v112(constB69) | (~v113(constB69)))),
% 72.86/45.72 inference(transitivity,[status(thm)],[11026, 11024])).
% 72.86/45.72 tff(11028,plain,
% 72.86/45.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))),
% 72.86/45.72 inference(quant_inst,[status(thm)],[])).
% 72.86/45.72 tff(11029,plain,
% 72.86/45.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | v112(constB69) | (~v113(constB69))),
% 72.86/45.72 inference(modus_ponens,[status(thm)],[11028, 11027])).
% 72.86/45.72 tff(11030,plain,
% 72.86/45.72 (v112(constB69) | (~v113(constB69))),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[11029, 301, 11023])).
% 72.86/45.72 tff(11031,plain,
% 72.86/45.72 (v112(constB69)),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[11030, 11019])).
% 72.86/45.72 tff(11032,plain,
% 72.86/45.72 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB69) | (~v112(constB69)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB69) | (~v112(constB69)))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(11033,plain,
% 72.86/45.72 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB69) | (~v112(constB69)))),
% 72.86/45.72 inference(quant_inst,[status(thm)],[])).
% 72.86/45.72 tff(11034,plain,
% 72.86/45.72 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB69) | (~v112(constB69))),
% 72.86/45.72 inference(modus_ponens,[status(thm)],[11033, 11032])).
% 72.86/45.72 tff(11035,plain,
% 72.86/45.72 (v108(constB69)),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[11034, 210, 11031])).
% 72.86/45.72 tff(11036,plain,
% 72.86/45.72 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(11037,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_69_1')).
% 72.86/45.72 tff(11038,plain,
% 72.86/45.72 (nextState(constB69, constB70)),
% 72.86/45.72 inference(modus_ponens,[status(thm)],[11037, 11036])).
% 72.86/45.72 tff(11039,plain,
% 72.86/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(11040,plain,
% 72.86/45.72 (((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70)) <=> ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(11041,plain,
% 72.86/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69))))),
% 72.86/45.72 inference(monotonicity,[status(thm)],[11040])).
% 72.86/45.72 tff(11042,plain,
% 72.86/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 72.86/45.72 inference(transitivity,[status(thm)],[11041, 11039])).
% 72.86/45.72 tff(11043,plain,
% 72.86/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))),
% 72.86/45.72 inference(quant_inst,[status(thm)],[])).
% 72.86/45.72 tff(11044,plain,
% 72.86/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69))),
% 72.86/45.72 inference(modus_ponens,[status(thm)],[11043, 11042])).
% 72.86/45.72 tff(11045,plain,
% 72.86/45.72 (v110(constB70) | (~v108(constB69))),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[11044, 317, 11038])).
% 72.86/45.72 tff(11046,plain,
% 72.86/45.72 (v110(constB70)),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[11045, 11035])).
% 72.86/45.72 tff(11047,plain,
% 72.86/45.72 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(11048,plain,
% 72.86/45.72 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))),
% 72.86/45.72 inference(quant_inst,[status(thm)],[])).
% 72.86/45.72 tff(11049,plain,
% 72.86/45.72 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70))),
% 72.86/45.72 inference(modus_ponens,[status(thm)],[11048, 11047])).
% 72.86/45.72 tff(11050,plain,
% 72.86/45.72 (~v104(constB70)),
% 72.86/45.72 inference(unit_resolution,[status(thm)],[11049, 335, 11038, 10903])).
% 72.86/45.72 tff(11051,plain,
% 72.86/45.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))),
% 72.86/45.72 inference(rewrite,[status(thm)],[])).
% 72.86/45.72 tff(11052,plain,
% 72.86/45.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))),
% 72.86/45.72 inference(quant_inst,[status(thm)],[])).
% 72.86/45.72 tff(11053,plain,
% 72.86/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v102(constB70) | v104(constB70)),
% 72.86/45.73 inference(modus_ponens,[status(thm)],[11052, 11051])).
% 72.86/45.73 tff(11054,plain,
% 72.86/45.73 (v102(constB70) | v104(constB70)),
% 72.86/45.73 inference(unit_resolution,[status(thm)],[11053, 349, 11038])).
% 72.86/45.73 tff(11055,plain,
% 72.86/45.73 (v102(constB70)),
% 72.86/45.73 inference(unit_resolution,[status(thm)],[11054, 11050])).
% 72.86/45.73 tff(11056,plain,
% 72.86/45.73 (v1(constB70) <=> v1(constB70)),
% 72.86/45.73 inference(rewrite,[status(thm)],[])).
% 72.86/45.73 tff(11057,axiom,(v1(constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_70_1')).
% 72.86/45.73 tff(11058,plain,
% 72.86/45.73 (v1(constB70)),
% 72.86/45.73 inference(modus_ponens,[status(thm)],[11057, 11056])).
% 72.86/45.73 tff(11059,plain,
% 72.86/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))),
% 72.86/45.73 inference(rewrite,[status(thm)],[])).
% 72.86/45.73 tff(11060,plain,
% 72.86/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))),
% 72.86/45.73 inference(quant_inst,[status(thm)],[])).
% 72.86/45.73 tff(11061,plain,
% 72.86/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70))),
% 72.86/45.73 inference(modus_ponens,[status(thm)],[11060, 11059])).
% 72.86/45.73 tff(11062,plain,
% 72.86/45.73 (v101(constB70) | (~v102(constB70))),
% 72.86/45.73 inference(unit_resolution,[status(thm)],[11061, 367, 11038, 11058])).
% 72.86/45.73 tff(11063,plain,
% 72.86/45.73 (v101(constB70)),
% 72.86/45.73 inference(unit_resolution,[status(thm)],[11062, 11055])).
% 72.86/45.73 tff(11064,plain,
% 72.86/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 72.86/45.73 inference(rewrite,[status(thm)],[])).
% 72.86/45.73 tff(11065,plain,
% 72.86/45.73 (((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70)) <=> ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 72.86/45.73 inference(rewrite,[status(thm)],[])).
% 72.86/45.73 tff(11066,plain,
% 72.86/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70))))),
% 72.86/45.73 inference(monotonicity,[status(thm)],[11065])).
% 72.86/45.73 tff(11067,plain,
% 72.86/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 72.86/45.73 inference(transitivity,[status(thm)],[11066, 11064])).
% 72.86/45.73 tff(11068,plain,
% 72.86/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))),
% 72.86/45.73 inference(quant_inst,[status(thm)],[])).
% 72.86/45.73 tff(11069,plain,
% 72.86/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70))),
% 72.86/45.73 inference(modus_ponens,[status(thm)],[11068, 11067])).
% 72.86/45.73 tff(11070,plain,
% 72.86/45.73 (v100(constB70) | (~v101(constB70)) | (~v110(constB70))),
% 72.86/45.73 inference(unit_resolution,[status(thm)],[11069, 382, 11038])).
% 72.86/45.73 tff(11071,plain,
% 72.86/45.73 (v100(constB70) | (~v110(constB70))),
% 72.86/45.73 inference(unit_resolution,[status(thm)],[11070, 11063])).
% 72.86/45.73 tff(11072,plain,
% 72.86/45.73 (v100(constB70)),
% 72.86/45.73 inference(unit_resolution,[status(thm)],[11071, 11046])).
% 72.86/45.73 tff(11073,plain,
% 72.86/45.73 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB69)) | v130(constB69, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB69)) | v130(constB69, bitIndex0))),
% 72.86/45.73 inference(rewrite,[status(thm)],[])).
% 72.86/45.73 tff(11074,plain,
% 72.86/45.73 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB69)) | v130(constB69, bitIndex0))),
% 72.86/45.73 inference(quant_inst,[status(thm)],[])).
% 72.86/45.73 tff(11075,plain,
% 72.86/45.73 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB69)) | v130(constB69, bitIndex0)),
% 72.86/45.73 inference(modus_ponens,[status(thm)],[11074, 11073])).
% 72.86/45.73 tff(11076,plain,
% 72.86/45.73 (v130(constB69, bitIndex0)),
% 72.86/45.73 inference(unit_resolution,[status(thm)],[11075, 1666, 11007])).
% 72.86/45.73 tff(11077,plain,
% 72.86/45.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0))),
% 72.86/45.73 inference(rewrite,[status(thm)],[])).
% 72.86/45.73 tff(11078,plain,
% 72.86/45.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0))),
% 72.86/45.73 inference(quant_inst,[status(thm)],[])).
% 72.86/45.73 tff(11079,plain,
% 72.86/45.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0)),
% 72.86/45.73 inference(modus_ponens,[status(thm)],[11078, 11077])).
% 72.86/45.73 tff(11080,plain,
% 72.86/45.73 ((~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0)),
% 72.86/45.73 inference(unit_resolution,[status(thm)],[11079, 179, 11023])).
% 72.86/45.73 tff(11081,plain,
% 72.86/45.73 (v127(constB69, bitIndex0)),
% 72.86/45.73 inference(unit_resolution,[status(thm)],[11080, 11076])).
% 72.86/45.73 tff(11082,plain,
% 72.86/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0))),
% 72.86/45.73 inference(rewrite,[status(thm)],[])).
% 72.86/45.73 tff(11083,plain,
% 72.86/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0))),
% 72.86/45.73 inference(quant_inst,[status(thm)],[])).
% 72.86/45.73 tff(11084,plain,
% 72.86/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0)),
% 72.86/45.73 inference(modus_ponens,[status(thm)],[11083, 11082])).
% 72.86/45.73 tff(11085,plain,
% 72.86/45.73 ((~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0)),
% 72.86/45.73 inference(unit_resolution,[status(thm)],[11084, 197, 11038])).
% 72.86/45.73 tff(11086,plain,
% 72.86/45.73 (v129(constB70, bitIndex0)),
% 72.86/45.73 inference(unit_resolution,[status(thm)],[11085, 11081])).
% 72.86/45.73 tff(11087,plain,
% 72.86/45.73 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))),
% 72.86/45.73 inference(rewrite,[status(thm)],[])).
% 72.86/45.73 tff(11088,plain,
% 72.86/45.73 ((v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0))) <=> (v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))),
% 72.86/45.73 inference(rewrite,[status(thm)],[])).
% 72.86/45.73 tff(11089,plain,
% 72.86/45.73 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70))))),
% 72.86/45.73 inference(monotonicity,[status(thm)],[11088])).
% 72.86/45.73 tff(11090,plain,
% 72.86/45.73 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))),
% 72.86/45.73 inference(transitivity,[status(thm)],[11089, 11087])).
% 72.86/45.73 tff(11091,plain,
% 72.86/45.73 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0)))),
% 72.86/45.73 inference(quant_inst,[status(thm)],[])).
% 72.86/45.73 tff(11092,plain,
% 72.86/45.73 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70))),
% 72.86/45.73 inference(modus_ponens,[status(thm)],[11091, 11090])).
% 72.86/45.73 tff(11093,plain,
% 72.86/45.73 (v90(constB70, bitIndex0) | (~v100(constB70))),
% 72.86/45.73 inference(unit_resolution,[status(thm)],[11092, 401, 11086])).
% 72.86/45.73 tff(11094,plain,
% 72.86/45.73 (v90(constB70, bitIndex0)),
% 72.86/45.73 inference(unit_resolution,[status(thm)],[11093, 11072])).
% 72.86/45.73 tff(11095,plain,
% 72.86/45.73 ((~v1(constB71)) <=> (~v1(constB71))),
% 72.86/45.73 inference(rewrite,[status(thm)],[])).
% 72.86/45.73 tff(11096,axiom,(~v1(constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_71_1_1')).
% 72.86/45.73 tff(11097,plain,
% 72.86/45.73 (~v1(constB71)),
% 72.86/45.73 inference(modus_ponens,[status(thm)],[11096, 11095])).
% 72.86/45.73 tff(11098,plain,
% 72.86/45.73 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 72.86/45.73 inference(rewrite,[status(thm)],[])).
% 72.86/45.73 tff(11099,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_70_1')).
% 72.86/45.73 tff(11100,plain,
% 72.86/45.73 (nextState(constB70, constB71)),
% 72.86/45.73 inference(modus_ponens,[status(thm)],[11099, 11098])).
% 72.86/45.73 tff(11101,plain,
% 72.86/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 72.86/45.73 inference(rewrite,[status(thm)],[])).
% 72.86/45.73 tff(11102,plain,
% 72.86/45.73 (((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71)) <=> (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 72.86/45.73 inference(rewrite,[status(thm)],[])).
% 72.86/45.73 tff(11103,plain,
% 72.86/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71))))),
% 72.86/45.73 inference(monotonicity,[status(thm)],[11102])).
% 72.86/45.73 tff(11104,plain,
% 72.86/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 72.86/45.73 inference(transitivity,[status(thm)],[11103, 11101])).
% 72.86/45.73 tff(11105,plain,
% 72.86/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))),
% 72.86/45.73 inference(quant_inst,[status(thm)],[])).
% 72.86/45.73 tff(11106,plain,
% 72.86/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71))),
% 72.86/45.73 inference(modus_ponens,[status(thm)],[11105, 11104])).
% 72.86/45.73 tff(11107,plain,
% 72.86/45.73 (~v101(constB71)),
% 72.86/45.73 inference(unit_resolution,[status(thm)],[11106, 56, 11100, 11097])).
% 72.86/45.73 tff(11108,plain,
% 72.86/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))),
% 72.86/45.73 inference(rewrite,[status(thm)],[])).
% 72.86/45.73 tff(11109,plain,
% 72.86/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))),
% 72.86/45.73 inference(quant_inst,[status(thm)],[])).
% 72.86/45.73 tff(11110,plain,
% 72.86/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71))),
% 72.86/45.73 inference(modus_ponens,[status(thm)],[11109, 11108])).
% 72.86/45.73 tff(11111,plain,
% 72.86/45.73 (v101(constB71) | (~v100(constB71))),
% 72.86/45.73 inference(unit_resolution,[status(thm)],[11110, 73, 11100])).
% 72.86/45.73 tff(11112,plain,
% 72.86/45.73 (~v100(constB71)),
% 72.86/45.73 inference(unit_resolution,[status(thm)],[11111, 11107])).
% 72.86/45.73 tff(11113,plain,
% 72.86/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))),
% 72.86/45.73 inference(rewrite,[status(thm)],[])).
% 72.86/45.73 tff(11114,plain,
% 72.86/45.73 (((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0)) <=> ((~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))),
% 72.86/45.73 inference(rewrite,[status(thm)],[])).
% 72.86/45.73 tff(11115,plain,
% 72.86/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0)))),
% 72.86/45.73 inference(monotonicity,[status(thm)],[11114])).
% 72.86/45.73 tff(11116,plain,
% 72.86/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))),
% 72.86/45.73 inference(transitivity,[status(thm)],[11115, 11113])).
% 72.86/45.73 tff(11117,plain,
% 72.86/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0))),
% 72.90/45.73 inference(quant_inst,[status(thm)],[])).
% 72.90/45.73 tff(11118,plain,
% 72.90/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0)),
% 72.90/45.73 inference(modus_ponens,[status(thm)],[11117, 11116])).
% 72.90/45.73 tff(11119,plain,
% 72.90/45.73 ((~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11118, 437, 11100])).
% 72.90/45.73 tff(11120,plain,
% 72.90/45.73 ((~v90(constB70, bitIndex0)) | v90(constB71, bitIndex0)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11119, 11112])).
% 72.90/45.73 tff(11121,plain,
% 72.90/45.73 (v90(constB71, bitIndex0)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11120, 11094])).
% 72.90/45.73 tff(11122,plain,
% 72.90/45.73 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB69)) | v130(constB69, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB69)) | v130(constB69, bitIndex2))),
% 72.90/45.73 inference(rewrite,[status(thm)],[])).
% 72.90/45.73 tff(11123,plain,
% 72.90/45.73 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB69)) | v130(constB69, bitIndex2))),
% 72.90/45.73 inference(quant_inst,[status(thm)],[])).
% 72.90/45.73 tff(11124,plain,
% 72.90/45.73 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB69)) | v130(constB69, bitIndex2)),
% 72.90/45.73 inference(modus_ponens,[status(thm)],[11123, 11122])).
% 72.90/45.73 tff(11125,plain,
% 72.90/45.73 (v130(constB69, bitIndex2)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11124, 1563, 11007])).
% 72.90/45.73 tff(11126,plain,
% 72.90/45.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB69) | (~v130(constB69, bitIndex2)) | v127(constB69, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB69) | (~v130(constB69, bitIndex2)) | v127(constB69, bitIndex2))),
% 72.90/45.73 inference(rewrite,[status(thm)],[])).
% 72.90/45.73 tff(11127,plain,
% 72.90/45.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB69) | (~v130(constB69, bitIndex2)) | v127(constB69, bitIndex2))),
% 72.90/45.73 inference(quant_inst,[status(thm)],[])).
% 72.90/45.73 tff(11128,plain,
% 72.90/45.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB69) | (~v130(constB69, bitIndex2)) | v127(constB69, bitIndex2)),
% 72.90/45.73 inference(modus_ponens,[status(thm)],[11127, 11126])).
% 72.90/45.73 tff(11129,plain,
% 72.90/45.73 ((~v130(constB69, bitIndex2)) | v127(constB69, bitIndex2)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11128, 1304, 11023])).
% 72.90/45.73 tff(11130,plain,
% 72.90/45.73 (v127(constB69, bitIndex2)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11129, 11125])).
% 72.90/45.73 tff(11131,plain,
% 72.90/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex2)) | v129(constB70, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex2)) | v129(constB70, bitIndex2))),
% 72.90/45.73 inference(rewrite,[status(thm)],[])).
% 72.90/45.73 tff(11132,plain,
% 72.90/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex2)) | v129(constB70, bitIndex2))),
% 72.90/45.73 inference(quant_inst,[status(thm)],[])).
% 72.90/45.73 tff(11133,plain,
% 72.90/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex2)) | v129(constB70, bitIndex2)),
% 72.90/45.73 inference(modus_ponens,[status(thm)],[11132, 11131])).
% 72.90/45.73 tff(11134,plain,
% 72.90/45.73 ((~v127(constB69, bitIndex2)) | v129(constB70, bitIndex2)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11133, 1319, 11038])).
% 72.90/45.73 tff(11135,plain,
% 72.90/45.73 (v129(constB70, bitIndex2)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11134, 11130])).
% 72.90/45.73 tff(11136,plain,
% 72.90/45.73 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2)) | (~v100(constB70)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2)) | (~v100(constB70)))),
% 72.90/45.73 inference(rewrite,[status(thm)],[])).
% 72.90/45.73 tff(11137,plain,
% 72.90/45.73 ((v90(constB70, bitIndex2) | (~v100(constB70)) | (~v129(constB70, bitIndex2))) <=> (v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2)) | (~v100(constB70)))),
% 72.90/45.73 inference(rewrite,[status(thm)],[])).
% 72.90/45.73 tff(11138,plain,
% 72.90/45.73 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~v100(constB70)) | (~v129(constB70, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2)) | (~v100(constB70))))),
% 72.90/45.73 inference(monotonicity,[status(thm)],[11137])).
% 72.90/45.73 tff(11139,plain,
% 72.90/45.73 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~v100(constB70)) | (~v129(constB70, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2)) | (~v100(constB70)))),
% 72.90/45.73 inference(transitivity,[status(thm)],[11138, 11136])).
% 72.90/45.73 tff(11140,plain,
% 72.90/45.73 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~v100(constB70)) | (~v129(constB70, bitIndex2)))),
% 72.90/45.73 inference(quant_inst,[status(thm)],[])).
% 72.90/45.73 tff(11141,plain,
% 72.90/45.73 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2)) | (~v100(constB70))),
% 72.90/45.73 inference(modus_ponens,[status(thm)],[11140, 11139])).
% 72.90/45.73 tff(11142,plain,
% 72.90/45.73 (v90(constB70, bitIndex2) | (~v100(constB70))),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11141, 1334, 11135])).
% 72.90/45.73 tff(11143,plain,
% 72.90/45.73 (v90(constB70, bitIndex2)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11142, 11072])).
% 72.90/45.73 tff(11144,plain,
% 72.90/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex2))),
% 72.90/45.73 inference(rewrite,[status(thm)],[])).
% 72.90/45.73 tff(11145,plain,
% 72.90/45.73 (((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex2)) | v100(constB71) | v90(constB71, bitIndex2)) <=> ((~v90(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex2))),
% 72.90/45.73 inference(rewrite,[status(thm)],[])).
% 72.90/45.73 tff(11146,plain,
% 72.90/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex2)) | v100(constB71) | v90(constB71, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex2)))),
% 72.90/45.73 inference(monotonicity,[status(thm)],[11145])).
% 72.90/45.73 tff(11147,plain,
% 72.90/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex2)) | v100(constB71) | v90(constB71, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex2))),
% 72.90/45.73 inference(transitivity,[status(thm)],[11146, 11144])).
% 72.90/45.73 tff(11148,plain,
% 72.90/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex2)) | v100(constB71) | v90(constB71, bitIndex2))),
% 72.90/45.73 inference(quant_inst,[status(thm)],[])).
% 72.90/45.73 tff(11149,plain,
% 72.90/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex2)),
% 72.90/45.73 inference(modus_ponens,[status(thm)],[11148, 11147])).
% 72.90/45.73 tff(11150,plain,
% 72.90/45.73 ((~v90(constB70, bitIndex2)) | v100(constB71) | v90(constB71, bitIndex2)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11149, 1370, 11100])).
% 72.90/45.73 tff(11151,plain,
% 72.90/45.73 ((~v90(constB70, bitIndex2)) | v90(constB71, bitIndex2)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11150, 11112])).
% 72.90/45.73 tff(11152,plain,
% 72.90/45.73 (v90(constB71, bitIndex2)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11151, 11143])).
% 72.90/45.73 tff(11153,assumption,(~v26(constB67)), introduced(assumption)).
% 72.90/45.73 tff(11154,assumption,(v113(constB67)), introduced(assumption)).
% 72.90/45.73 tff(11155,plain,
% 72.90/45.73 (v26(constB67) | v112(constB67)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[10835, 301, 11154])).
% 72.90/45.73 tff(11156,plain,
% 72.90/45.73 (v112(constB67)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11155, 11153])).
% 72.90/45.73 tff(11157,plain,
% 72.90/45.73 (v108(constB67)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[10840, 210, 11156])).
% 72.90/45.73 tff(11158,plain,
% 72.90/45.73 (v110(constB68)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[10851, 11157])).
% 72.90/45.73 tff(11159,plain,
% 72.90/45.73 (v100(constB68)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[10877, 11158])).
% 72.90/45.73 tff(11160,assumption,(v130(constB67, bitIndex2)), introduced(assumption)).
% 72.90/45.73 tff(11161,plain,
% 72.90/45.73 (v26(constB67) | v127(constB67, bitIndex2)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[10885, 1304, 11160])).
% 72.90/45.73 tff(11162,plain,
% 72.90/45.73 (v127(constB67, bitIndex2)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11161, 11153])).
% 72.90/45.73 tff(11163,plain,
% 72.90/45.73 (v129(constB68, bitIndex2)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[10891, 11162])).
% 72.90/45.73 tff(11164,plain,
% 72.90/45.73 (v90(constB68, bitIndex2) | (~v100(constB68))),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[10898, 1334, 11163])).
% 72.90/45.73 tff(11165,plain,
% 72.90/45.73 (v90(constB68, bitIndex2)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11164, 11159])).
% 72.90/45.73 tff(11166,plain,
% 72.90/45.73 (v90(constB69, bitIndex2)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[10926, 11165])).
% 72.90/45.73 tff(11167,assumption,(~v129(constB68, bitIndex1)), introduced(assumption)).
% 72.90/45.73 tff(11168,plain,
% 72.90/45.73 ((~v90(constB68, bitIndex1)) | (~v100(constB68))),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[10958, 603, 11167])).
% 72.90/45.73 tff(11169,plain,
% 72.90/45.73 (~v90(constB68, bitIndex1)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11168, 11159])).
% 72.90/45.73 tff(11170,plain,
% 72.90/45.73 (~v90(constB69, bitIndex1)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[10968, 11169])).
% 72.90/45.73 tff(11171,assumption,(~v130(constB67, bitIndex0)), introduced(assumption)).
% 72.90/45.73 tff(11172,plain,
% 72.90/45.73 ((~v127(constB67, bitIndex0)) | v26(constB67)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[10979, 905, 11171])).
% 72.90/45.73 tff(11173,plain,
% 72.90/45.73 (~v127(constB67, bitIndex0)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11172, 11153])).
% 72.90/45.73 tff(11174,plain,
% 72.90/45.73 (~v129(constB68, bitIndex0)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[10985, 11173])).
% 72.90/45.73 tff(11175,plain,
% 72.90/45.73 ((~v90(constB68, bitIndex0)) | (~v100(constB68))),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[10992, 938, 11174])).
% 72.90/45.73 tff(11176,plain,
% 72.90/45.73 (~v90(constB68, bitIndex0)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11175, 11159])).
% 72.90/45.73 tff(11177,plain,
% 72.90/45.73 (~v90(constB69, bitIndex0)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11002, 11176])).
% 72.90/45.73 tff(11178,plain,
% 72.90/45.73 (v123(constB69)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11006, 1477, 11177, 11170, 11166])).
% 72.90/45.73 tff(11179,assumption,(v90(constB70, bitIndex1)), introduced(assumption)).
% 72.90/45.73 tff(11180,plain,
% 72.90/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB69, bitIndex1) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB69, bitIndex1) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex1)))),
% 72.90/45.73 inference(rewrite,[status(thm)],[])).
% 72.90/45.73 tff(11181,plain,
% 72.90/45.73 (((~nextState(constB69, constB70)) | v90(constB69, bitIndex1) | v100(constB70) | (~v90(constB70, bitIndex1))) <=> (v90(constB69, bitIndex1) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex1)))),
% 72.90/45.73 inference(rewrite,[status(thm)],[])).
% 72.90/45.73 tff(11182,plain,
% 72.90/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB69, constB70)) | v90(constB69, bitIndex1) | v100(constB70) | (~v90(constB70, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB69, bitIndex1) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex1))))),
% 72.90/45.73 inference(monotonicity,[status(thm)],[11181])).
% 72.90/45.73 tff(11183,plain,
% 72.90/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB69, constB70)) | v90(constB69, bitIndex1) | v100(constB70) | (~v90(constB70, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB69, bitIndex1) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex1)))),
% 72.90/45.73 inference(transitivity,[status(thm)],[11182, 11180])).
% 72.90/45.73 tff(11184,plain,
% 72.90/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB69, constB70)) | v90(constB69, bitIndex1) | v100(constB70) | (~v90(constB70, bitIndex1)))),
% 72.90/45.73 inference(quant_inst,[status(thm)],[])).
% 72.90/45.73 tff(11185,plain,
% 72.90/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB69, bitIndex1) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex1))),
% 72.90/45.73 inference(modus_ponens,[status(thm)],[11184, 11183])).
% 72.90/45.73 tff(11186,plain,
% 72.90/45.73 (v90(constB69, bitIndex1) | v100(constB70) | (~v90(constB70, bitIndex1))),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11185, 109, 11038])).
% 72.90/45.73 tff(11187,plain,
% 72.90/45.73 (v100(constB70)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11186, 11170, 11179])).
% 72.90/45.73 tff(11188,plain,
% 72.90/45.73 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1) | (~v100(constB70)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1) | (~v100(constB70)))),
% 72.90/45.73 inference(rewrite,[status(thm)],[])).
% 72.90/45.73 tff(11189,plain,
% 72.90/45.73 (((~v90(constB70, bitIndex1)) | (~v100(constB70)) | v129(constB70, bitIndex1)) <=> ((~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1) | (~v100(constB70)))),
% 72.90/45.73 inference(rewrite,[status(thm)],[])).
% 72.90/45.73 tff(11190,plain,
% 72.90/45.73 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | (~v100(constB70)) | v129(constB70, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1) | (~v100(constB70))))),
% 72.90/45.73 inference(monotonicity,[status(thm)],[11189])).
% 72.90/45.73 tff(11191,plain,
% 72.90/45.73 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | (~v100(constB70)) | v129(constB70, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1) | (~v100(constB70)))),
% 72.90/45.73 inference(transitivity,[status(thm)],[11190, 11188])).
% 72.90/45.73 tff(11192,plain,
% 72.90/45.73 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | (~v100(constB70)) | v129(constB70, bitIndex1))),
% 72.90/45.73 inference(quant_inst,[status(thm)],[])).
% 72.90/45.73 tff(11193,plain,
% 72.90/45.73 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1) | (~v100(constB70))),
% 72.90/45.73 inference(modus_ponens,[status(thm)],[11192, 11191])).
% 72.90/45.73 tff(11194,plain,
% 72.90/45.73 (v129(constB70, bitIndex1) | (~v100(constB70))),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11193, 603, 11179])).
% 72.90/45.73 tff(11195,plain,
% 72.90/45.73 (v129(constB70, bitIndex1)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11194, 11187])).
% 72.90/45.73 tff(11196,plain,
% 72.90/45.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB69, constB70)) | v127(constB69, bitIndex1) | (~v129(constB70, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB69, constB70)) | v127(constB69, bitIndex1) | (~v129(constB70, bitIndex1)))),
% 72.90/45.73 inference(rewrite,[status(thm)],[])).
% 72.90/45.73 tff(11197,plain,
% 72.90/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB69, constB70)) | v127(constB69, bitIndex1) | (~v129(constB70, bitIndex1)))),
% 72.90/45.73 inference(quant_inst,[status(thm)],[])).
% 72.90/45.73 tff(11198,plain,
% 72.90/45.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB69, constB70)) | v127(constB69, bitIndex1) | (~v129(constB70, bitIndex1))),
% 72.90/45.73 inference(modus_ponens,[status(thm)],[11197, 11196])).
% 72.90/45.73 tff(11199,plain,
% 72.90/45.73 (v127(constB69, bitIndex1) | (~v129(constB70, bitIndex1))),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11198, 588, 11038])).
% 72.90/45.73 tff(11200,plain,
% 72.90/45.73 (v127(constB69, bitIndex1)),
% 72.90/45.73 inference(unit_resolution,[status(thm)],[11199, 11195])).
% 72.90/45.73 tff(11201,plain,
% 72.90/45.73 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1))),
% 72.90/45.73 inference(rewrite,[status(thm)],[])).
% 72.90/45.73 tff(11202,plain,
% 72.90/45.73 ((v26(constB69) | v130(constB69, bitIndex1) | (~v127(constB69, bitIndex1))) <=> ((~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1))),
% 72.90/45.73 inference(rewrite,[status(thm)],[])).
% 72.90/45.73 tff(11203,plain,
% 72.90/45.73 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB69) | v130(constB69, bitIndex1) | (~v127(constB69, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1)))),
% 72.90/45.73 inference(monotonicity,[status(thm)],[11202])).
% 72.90/45.73 tff(11204,plain,
% 72.90/45.73 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB69) | v130(constB69, bitIndex1) | (~v127(constB69, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1))),
% 72.90/45.74 inference(transitivity,[status(thm)],[11203, 11201])).
% 72.90/45.74 tff(11205,plain,
% 72.90/45.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB69) | v130(constB69, bitIndex1) | (~v127(constB69, bitIndex1)))),
% 72.90/45.74 inference(quant_inst,[status(thm)],[])).
% 72.90/45.74 tff(11206,plain,
% 72.90/45.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB69, bitIndex1)) | v26(constB69) | v130(constB69, bitIndex1)),
% 72.90/45.74 inference(modus_ponens,[status(thm)],[11205, 11204])).
% 72.90/45.74 tff(11207,plain,
% 72.90/45.74 ((~v127(constB69, bitIndex1)) | v130(constB69, bitIndex1)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11206, 555, 11023])).
% 72.90/45.74 tff(11208,plain,
% 72.90/45.74 (v130(constB69, bitIndex1)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11207, 11200])).
% 72.90/45.74 tff(11209,plain,
% 72.90/45.74 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB69)) | (~v130(constB69, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB69)) | (~v130(constB69, bitIndex1)))),
% 72.90/45.74 inference(rewrite,[status(thm)],[])).
% 72.90/45.74 tff(11210,plain,
% 72.90/45.74 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB69)) | (~v130(constB69, bitIndex1)))),
% 72.90/45.74 inference(quant_inst,[status(thm)],[])).
% 72.90/45.74 tff(11211,plain,
% 72.90/45.74 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB69)) | (~v130(constB69, bitIndex1))),
% 72.90/45.74 inference(modus_ponens,[status(thm)],[11210, 11209])).
% 72.90/45.74 tff(11212,plain,
% 72.90/45.74 ($false),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11211, 1622, 11208, 11178])).
% 72.90/45.74 tff(11213,plain,(v26(constB67) | (~v90(constB70, bitIndex1)) | v129(constB68, bitIndex1) | (~v113(constB67)) | (~v130(constB67, bitIndex2)) | v130(constB67, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 72.90/45.74 tff(11214,plain,
% 72.90/45.74 ((~v90(constB70, bitIndex1)) | v129(constB68, bitIndex1) | (~v113(constB67)) | (~v130(constB67, bitIndex2)) | v130(constB67, bitIndex0)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11213, 10829])).
% 72.90/45.74 tff(11215,plain,
% 72.90/45.74 (~v90(constB70, bitIndex1)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11214, 10825, 10973, 10882, 10952])).
% 72.90/45.74 tff(11216,plain,
% 72.90/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex1)))),
% 72.90/45.74 inference(rewrite,[status(thm)],[])).
% 72.90/45.74 tff(11217,plain,
% 72.90/45.74 (((~nextState(constB70, constB71)) | v90(constB70, bitIndex1) | v100(constB71) | (~v90(constB71, bitIndex1))) <=> (v90(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex1)))),
% 72.90/45.74 inference(rewrite,[status(thm)],[])).
% 72.90/45.74 tff(11218,plain,
% 72.90/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex1) | v100(constB71) | (~v90(constB71, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex1))))),
% 72.90/45.74 inference(monotonicity,[status(thm)],[11217])).
% 72.90/45.74 tff(11219,plain,
% 72.90/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex1) | v100(constB71) | (~v90(constB71, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex1)))),
% 72.90/45.74 inference(transitivity,[status(thm)],[11218, 11216])).
% 72.90/45.74 tff(11220,plain,
% 72.90/45.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex1) | v100(constB71) | (~v90(constB71, bitIndex1)))),
% 72.90/45.74 inference(quant_inst,[status(thm)],[])).
% 72.90/45.74 tff(11221,plain,
% 72.90/45.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex1))),
% 72.90/45.74 inference(modus_ponens,[status(thm)],[11220, 11219])).
% 72.90/45.74 tff(11222,plain,
% 72.90/45.74 (v90(constB70, bitIndex1) | v100(constB71) | (~v90(constB71, bitIndex1))),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11221, 109, 11100])).
% 72.90/45.74 tff(11223,plain,
% 72.90/45.74 (v90(constB70, bitIndex1) | (~v90(constB71, bitIndex1))),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11222, 11112])).
% 72.90/45.74 tff(11224,plain,
% 72.90/45.74 (~v90(constB71, bitIndex1)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11223, 11215])).
% 72.90/45.74 tff(11225,plain,
% 72.90/45.74 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | v124(constB71))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | v124(constB71))),
% 72.90/45.74 inference(rewrite,[status(thm)],[])).
% 72.90/45.74 tff(11226,plain,
% 72.90/45.74 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | v124(constB71))),
% 72.90/45.74 inference(quant_inst,[status(thm)],[])).
% 72.90/45.74 tff(11227,plain,
% 72.90/45.74 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | v124(constB71)),
% 72.90/45.74 inference(modus_ponens,[status(thm)],[11226, 11225])).
% 72.90/45.74 tff(11228,plain,
% 72.90/45.74 ((~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex2)) | v124(constB71)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11227, 1707, 11224])).
% 72.90/45.74 tff(11229,plain,
% 72.90/45.74 (v124(constB71)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11228, 11152, 11121])).
% 72.90/45.74 tff(11230,plain,
% 72.90/45.74 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB71)) | v130(constB71, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB71)) | v130(constB71, bitIndex2))),
% 72.90/45.74 inference(rewrite,[status(thm)],[])).
% 72.90/45.74 tff(11231,plain,
% 72.90/45.74 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB71)) | v130(constB71, bitIndex2))),
% 72.90/45.74 inference(quant_inst,[status(thm)],[])).
% 72.90/45.74 tff(11232,plain,
% 72.90/45.74 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB71)) | v130(constB71, bitIndex2)),
% 72.90/45.74 inference(modus_ponens,[status(thm)],[11231, 11230])).
% 72.90/45.74 tff(11233,plain,
% 72.90/45.74 (v130(constB71, bitIndex2)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11232, 1786, 11229])).
% 72.90/45.74 tff(11234,assumption,(v26(constB71)), introduced(assumption)).
% 72.90/45.74 tff(11235,plain,
% 72.90/45.74 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB71))),
% 72.90/45.74 inference(quant_inst,[status(thm)],[])).
% 72.90/45.74 tff(11236,plain,
% 72.90/45.74 ($false),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11235, 37, 11234])).
% 72.90/45.74 tff(11237,plain,(~v26(constB71)), inference(lemma,lemma(discharge,[]))).
% 72.90/45.74 tff(11238,plain,
% 72.90/45.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2))),
% 72.90/45.74 inference(rewrite,[status(thm)],[])).
% 72.90/45.74 tff(11239,plain,
% 72.90/45.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2))),
% 72.90/45.74 inference(quant_inst,[status(thm)],[])).
% 72.90/45.74 tff(11240,plain,
% 72.90/45.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2)),
% 72.90/45.74 inference(modus_ponens,[status(thm)],[11239, 11238])).
% 72.90/45.74 tff(11241,plain,
% 72.90/45.74 ((~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11240, 1304, 11237])).
% 72.90/45.74 tff(11242,plain,
% 72.90/45.74 (v127(constB71, bitIndex2)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11241, 11233])).
% 72.90/45.74 tff(11243,plain,
% 72.90/45.74 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 72.90/45.74 inference(rewrite,[status(thm)],[])).
% 72.90/45.74 tff(11244,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_71_1')).
% 72.90/45.74 tff(11245,plain,
% 72.90/45.74 (nextState(constB71, constB72)),
% 72.90/45.74 inference(modus_ponens,[status(thm)],[11244, 11243])).
% 72.90/45.74 tff(11246,plain,
% 72.90/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2))),
% 72.90/45.74 inference(rewrite,[status(thm)],[])).
% 72.90/45.74 tff(11247,plain,
% 72.90/45.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2))),
% 72.90/45.74 inference(quant_inst,[status(thm)],[])).
% 72.90/45.74 tff(11248,plain,
% 72.90/45.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2)),
% 72.90/45.74 inference(modus_ponens,[status(thm)],[11247, 11246])).
% 72.90/45.74 tff(11249,plain,
% 72.90/45.74 ((~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11248, 1319, 11245])).
% 72.90/45.74 tff(11250,plain,
% 72.90/45.74 (v129(constB72, bitIndex2)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11249, 11242])).
% 72.90/45.74 tff(11251,assumption,(~v113(constB71)), introduced(assumption)).
% 72.90/45.74 tff(11252,plain,
% 72.90/45.74 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB71) | (~v114(constB71)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB71) | (~v114(constB71)))),
% 72.90/45.74 inference(rewrite,[status(thm)],[])).
% 72.90/45.74 tff(11253,plain,
% 72.90/45.74 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB71) | (~v114(constB71)))),
% 72.90/45.74 inference(quant_inst,[status(thm)],[])).
% 72.90/45.74 tff(11254,plain,
% 72.90/45.74 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB71) | (~v114(constB71))),
% 72.90/45.74 inference(modus_ponens,[status(thm)],[11253, 11252])).
% 72.90/45.74 tff(11255,plain,
% 72.90/45.74 (~v114(constB71)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11254, 287, 11251])).
% 72.90/45.74 tff(11256,plain,
% 72.90/45.74 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB71) | (~v115(constB71)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB71) | (~v115(constB71)))),
% 72.90/45.74 inference(rewrite,[status(thm)],[])).
% 72.90/45.74 tff(11257,plain,
% 72.90/45.74 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB71) | (~v115(constB71)))),
% 72.90/45.74 inference(quant_inst,[status(thm)],[])).
% 72.90/45.74 tff(11258,plain,
% 72.90/45.74 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB71) | (~v115(constB71))),
% 72.90/45.74 inference(modus_ponens,[status(thm)],[11257, 11256])).
% 72.90/45.74 tff(11259,plain,
% 72.90/45.74 (~v115(constB71)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11258, 276, 11255])).
% 72.90/45.74 tff(11260,plain,
% 72.90/45.74 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB71) | (~v116(constB71)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB71) | (~v116(constB71)))),
% 72.90/45.74 inference(rewrite,[status(thm)],[])).
% 72.90/45.74 tff(11261,plain,
% 72.90/45.74 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB71) | (~v116(constB71)))),
% 72.90/45.74 inference(quant_inst,[status(thm)],[])).
% 72.90/45.74 tff(11262,plain,
% 72.90/45.74 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB71) | (~v116(constB71))),
% 72.90/45.74 inference(modus_ponens,[status(thm)],[11261, 11260])).
% 72.90/45.74 tff(11263,plain,
% 72.90/45.74 (~v116(constB71)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11262, 265, 11259])).
% 72.90/45.74 tff(11264,plain,
% 72.90/45.74 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB71) | (~v117(constB71)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB71) | (~v117(constB71)))),
% 72.90/45.74 inference(rewrite,[status(thm)],[])).
% 72.90/45.74 tff(11265,plain,
% 72.90/45.74 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB71) | (~v117(constB71)))),
% 72.90/45.74 inference(quant_inst,[status(thm)],[])).
% 72.90/45.74 tff(11266,plain,
% 72.90/45.74 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB71) | (~v117(constB71))),
% 72.90/45.74 inference(modus_ponens,[status(thm)],[11265, 11264])).
% 72.90/45.74 tff(11267,plain,
% 72.90/45.74 (~v117(constB71)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11266, 254, 11263])).
% 72.90/45.74 tff(11268,plain,
% 72.90/45.74 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB71) | (~v121(constB71)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB71) | (~v121(constB71)))),
% 72.90/45.74 inference(rewrite,[status(thm)],[])).
% 72.90/45.74 tff(11269,plain,
% 72.90/45.74 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB71) | (~v121(constB71)))),
% 72.90/45.74 inference(quant_inst,[status(thm)],[])).
% 72.90/45.74 tff(11270,plain,
% 72.90/45.74 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB71) | (~v121(constB71))),
% 72.90/45.74 inference(modus_ponens,[status(thm)],[11269, 11268])).
% 72.90/45.74 tff(11271,plain,
% 72.90/45.74 (~v121(constB71)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11270, 976, 11267])).
% 72.90/45.74 tff(11272,assumption,(v120(constB69)), introduced(assumption)).
% 72.90/45.74 tff(11273,plain,
% 72.90/45.74 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB69) | (~v120(constB69)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB69) | (~v120(constB69)))),
% 72.90/45.74 inference(rewrite,[status(thm)],[])).
% 72.90/45.74 tff(11274,plain,
% 72.90/45.74 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB69) | (~v120(constB69)))),
% 72.90/45.74 inference(quant_inst,[status(thm)],[])).
% 72.90/45.74 tff(11275,plain,
% 72.90/45.74 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB69) | (~v120(constB69))),
% 72.90/45.74 inference(modus_ponens,[status(thm)],[11274, 11273])).
% 72.90/45.74 tff(11276,plain,
% 72.90/45.74 (v118(constB69)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11275, 646, 11272])).
% 72.90/45.74 tff(11277,plain,
% 72.90/45.74 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB69) | (~v118(constB69)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB69) | (~v118(constB69)))),
% 72.90/45.74 inference(rewrite,[status(thm)],[])).
% 72.90/45.74 tff(11278,plain,
% 72.90/45.74 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB69) | (~v118(constB69)))),
% 72.90/45.74 inference(quant_inst,[status(thm)],[])).
% 72.90/45.74 tff(11279,plain,
% 72.90/45.74 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB69) | (~v118(constB69))),
% 72.90/45.74 inference(modus_ponens,[status(thm)],[11278, 11277])).
% 72.90/45.74 tff(11280,plain,
% 72.90/45.74 (v117(constB69)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11279, 243, 11276])).
% 72.90/45.74 tff(11281,plain,
% 72.90/45.74 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB69) | (~v117(constB69)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB69) | (~v117(constB69)))),
% 72.90/45.74 inference(rewrite,[status(thm)],[])).
% 72.90/45.74 tff(11282,plain,
% 72.90/45.74 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB69) | (~v117(constB69)))),
% 72.90/45.74 inference(quant_inst,[status(thm)],[])).
% 72.90/45.74 tff(11283,plain,
% 72.90/45.74 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB69) | (~v117(constB69))),
% 72.90/45.74 inference(modus_ponens,[status(thm)],[11282, 11281])).
% 72.90/45.74 tff(11284,plain,
% 72.90/45.74 (v116(constB69)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11283, 254, 11280])).
% 72.90/45.74 tff(11285,plain,
% 72.90/45.74 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB69) | (~v116(constB69)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB69) | (~v116(constB69)))),
% 72.90/45.74 inference(rewrite,[status(thm)],[])).
% 72.90/45.74 tff(11286,plain,
% 72.90/45.74 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB69) | (~v116(constB69)))),
% 72.90/45.74 inference(quant_inst,[status(thm)],[])).
% 72.90/45.74 tff(11287,plain,
% 72.90/45.74 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB69) | (~v116(constB69))),
% 72.90/45.74 inference(modus_ponens,[status(thm)],[11286, 11285])).
% 72.90/45.74 tff(11288,plain,
% 72.90/45.74 (v115(constB69)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11287, 265, 11284])).
% 72.90/45.74 tff(11289,plain,
% 72.90/45.74 (v114(constB69)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11014, 276, 11288])).
% 72.90/45.74 tff(11290,plain,
% 72.90/45.74 (v113(constB69)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11018, 287, 11289])).
% 72.90/45.74 tff(11291,plain,
% 72.90/45.74 (v112(constB69)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11030, 11290])).
% 72.90/45.74 tff(11292,plain,
% 72.90/45.74 (v108(constB69)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11034, 210, 11291])).
% 72.90/45.74 tff(11293,plain,
% 72.90/45.74 (v110(constB70)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11045, 11292])).
% 72.90/45.74 tff(11294,plain,
% 72.90/45.74 (v100(constB70)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11071, 11293])).
% 72.90/45.74 tff(11295,plain,
% 72.90/45.74 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB69)) | (~v130(constB69, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB69)) | (~v130(constB69, bitIndex2)))),
% 72.90/45.74 inference(rewrite,[status(thm)],[])).
% 72.90/45.74 tff(11296,plain,
% 72.90/45.74 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB69)) | (~v130(constB69, bitIndex2)))),
% 72.90/45.74 inference(quant_inst,[status(thm)],[])).
% 72.90/45.74 tff(11297,plain,
% 72.90/45.74 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB69)) | (~v130(constB69, bitIndex2))),
% 72.90/45.74 inference(modus_ponens,[status(thm)],[11296, 11295])).
% 72.90/45.74 tff(11298,plain,
% 72.90/45.74 (~v130(constB69, bitIndex2)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11297, 730, 11272])).
% 72.90/45.74 tff(11299,plain,
% 72.90/45.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB69, bitIndex2)) | v26(constB69) | v130(constB69, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB69, bitIndex2)) | v26(constB69) | v130(constB69, bitIndex2))),
% 72.90/45.74 inference(rewrite,[status(thm)],[])).
% 72.90/45.74 tff(11300,plain,
% 72.90/45.74 ((v26(constB69) | v130(constB69, bitIndex2) | (~v127(constB69, bitIndex2))) <=> ((~v127(constB69, bitIndex2)) | v26(constB69) | v130(constB69, bitIndex2))),
% 72.90/45.74 inference(rewrite,[status(thm)],[])).
% 72.90/45.74 tff(11301,plain,
% 72.90/45.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB69) | v130(constB69, bitIndex2) | (~v127(constB69, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB69, bitIndex2)) | v26(constB69) | v130(constB69, bitIndex2)))),
% 72.90/45.74 inference(monotonicity,[status(thm)],[11300])).
% 72.90/45.74 tff(11302,plain,
% 72.90/45.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB69) | v130(constB69, bitIndex2) | (~v127(constB69, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB69, bitIndex2)) | v26(constB69) | v130(constB69, bitIndex2))),
% 72.90/45.74 inference(transitivity,[status(thm)],[11301, 11299])).
% 72.90/45.74 tff(11303,plain,
% 72.90/45.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB69) | v130(constB69, bitIndex2) | (~v127(constB69, bitIndex2)))),
% 72.90/45.74 inference(quant_inst,[status(thm)],[])).
% 72.90/45.74 tff(11304,plain,
% 72.90/45.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB69, bitIndex2)) | v26(constB69) | v130(constB69, bitIndex2)),
% 72.90/45.74 inference(modus_ponens,[status(thm)],[11303, 11302])).
% 72.90/45.74 tff(11305,plain,
% 72.90/45.74 ((~v127(constB69, bitIndex2)) | v130(constB69, bitIndex2)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11304, 470, 11023])).
% 72.90/45.74 tff(11306,plain,
% 72.90/45.74 (~v127(constB69, bitIndex2)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11305, 11298])).
% 72.90/45.74 tff(11307,plain,
% 72.90/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB69, constB70)) | v127(constB69, bitIndex2) | (~v129(constB70, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB69, constB70)) | v127(constB69, bitIndex2) | (~v129(constB70, bitIndex2)))),
% 72.90/45.74 inference(rewrite,[status(thm)],[])).
% 72.90/45.74 tff(11308,plain,
% 72.90/45.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB69, constB70)) | v127(constB69, bitIndex2) | (~v129(constB70, bitIndex2)))),
% 72.90/45.74 inference(quant_inst,[status(thm)],[])).
% 72.90/45.74 tff(11309,plain,
% 72.90/45.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB69, constB70)) | v127(constB69, bitIndex2) | (~v129(constB70, bitIndex2))),
% 72.90/45.74 inference(modus_ponens,[status(thm)],[11308, 11307])).
% 72.90/45.74 tff(11310,plain,
% 72.90/45.74 (v127(constB69, bitIndex2) | (~v129(constB70, bitIndex2))),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11309, 488, 11038])).
% 72.90/45.74 tff(11311,plain,
% 72.90/45.74 (~v129(constB70, bitIndex2)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11310, 11306])).
% 72.90/45.74 tff(11312,plain,
% 72.90/45.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB70, bitIndex2)) | v129(constB70, bitIndex2) | (~v100(constB70)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB70, bitIndex2)) | v129(constB70, bitIndex2) | (~v100(constB70)))),
% 72.90/45.74 inference(rewrite,[status(thm)],[])).
% 72.90/45.74 tff(11313,plain,
% 72.90/45.74 (((~v90(constB70, bitIndex2)) | (~v100(constB70)) | v129(constB70, bitIndex2)) <=> ((~v90(constB70, bitIndex2)) | v129(constB70, bitIndex2) | (~v100(constB70)))),
% 72.90/45.74 inference(rewrite,[status(thm)],[])).
% 72.90/45.74 tff(11314,plain,
% 72.90/45.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB70, bitIndex2)) | (~v100(constB70)) | v129(constB70, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB70, bitIndex2)) | v129(constB70, bitIndex2) | (~v100(constB70))))),
% 72.90/45.74 inference(monotonicity,[status(thm)],[11313])).
% 72.90/45.74 tff(11315,plain,
% 72.90/45.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB70, bitIndex2)) | (~v100(constB70)) | v129(constB70, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB70, bitIndex2)) | v129(constB70, bitIndex2) | (~v100(constB70)))),
% 72.90/45.74 inference(transitivity,[status(thm)],[11314, 11312])).
% 72.90/45.74 tff(11316,plain,
% 72.90/45.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB70, bitIndex2)) | (~v100(constB70)) | v129(constB70, bitIndex2))),
% 72.90/45.74 inference(quant_inst,[status(thm)],[])).
% 72.90/45.74 tff(11317,plain,
% 72.90/45.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB70, bitIndex2)) | v129(constB70, bitIndex2) | (~v100(constB70))),
% 72.90/45.74 inference(modus_ponens,[status(thm)],[11316, 11315])).
% 72.90/45.74 tff(11318,plain,
% 72.90/45.74 ((~v90(constB70, bitIndex2)) | (~v100(constB70))),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11317, 503, 11311])).
% 72.90/45.74 tff(11319,plain,
% 72.90/45.74 (~v90(constB70, bitIndex2)),
% 72.90/45.74 inference(unit_resolution,[status(thm)],[11318, 11294])).
% 72.90/45.74 tff(11320,plain,
% 72.92/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex2)))),
% 72.92/45.74 inference(rewrite,[status(thm)],[])).
% 72.92/45.74 tff(11321,plain,
% 72.92/45.74 (((~nextState(constB70, constB71)) | v90(constB70, bitIndex2) | v100(constB71) | (~v90(constB71, bitIndex2))) <=> (v90(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex2)))),
% 72.92/45.74 inference(rewrite,[status(thm)],[])).
% 72.92/45.74 tff(11322,plain,
% 72.92/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex2) | v100(constB71) | (~v90(constB71, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex2))))),
% 72.92/45.74 inference(monotonicity,[status(thm)],[11321])).
% 72.92/45.74 tff(11323,plain,
% 72.92/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex2) | v100(constB71) | (~v90(constB71, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex2)))),
% 72.92/45.74 inference(transitivity,[status(thm)],[11322, 11320])).
% 72.92/45.74 tff(11324,plain,
% 72.92/45.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex2) | v100(constB71) | (~v90(constB71, bitIndex2)))),
% 72.92/45.74 inference(quant_inst,[status(thm)],[])).
% 72.92/45.74 tff(11325,plain,
% 72.92/45.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex2))),
% 72.92/45.74 inference(modus_ponens,[status(thm)],[11324, 11323])).
% 72.92/45.74 tff(11326,plain,
% 72.92/45.74 (v90(constB70, bitIndex2) | v100(constB71) | (~v90(constB71, bitIndex2))),
% 72.92/45.74 inference(unit_resolution,[status(thm)],[11325, 88, 11100])).
% 72.92/45.74 tff(11327,plain,
% 72.92/45.74 (v90(constB70, bitIndex2) | (~v90(constB71, bitIndex2))),
% 72.92/45.74 inference(unit_resolution,[status(thm)],[11326, 11112])).
% 72.92/45.74 tff(11328,plain,
% 72.92/45.74 (~v90(constB71, bitIndex2)),
% 72.92/45.74 inference(unit_resolution,[status(thm)],[11327, 11319])).
% 72.92/45.74 tff(11329,plain,
% 72.92/45.74 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB69)) | v130(constB69, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB69)) | v130(constB69, bitIndex1))),
% 72.92/45.74 inference(rewrite,[status(thm)],[])).
% 72.92/45.74 tff(11330,plain,
% 72.92/45.74 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB69)) | v130(constB69, bitIndex1))),
% 72.92/45.74 inference(quant_inst,[status(thm)],[])).
% 72.92/45.74 tff(11331,plain,
% 72.92/45.74 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB69)) | v130(constB69, bitIndex1)),
% 72.92/45.74 inference(modus_ponens,[status(thm)],[11330, 11329])).
% 72.92/45.74 tff(11332,plain,
% 72.92/45.74 (v130(constB69, bitIndex1)),
% 72.92/45.74 inference(unit_resolution,[status(thm)],[11331, 810, 11272])).
% 72.92/45.74 tff(11333,plain,
% 72.92/45.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB69) | (~v130(constB69, bitIndex1)) | v127(constB69, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB69) | (~v130(constB69, bitIndex1)) | v127(constB69, bitIndex1))),
% 72.92/45.74 inference(rewrite,[status(thm)],[])).
% 72.92/45.74 tff(11334,plain,
% 72.92/45.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB69) | (~v130(constB69, bitIndex1)) | v127(constB69, bitIndex1))),
% 72.92/45.74 inference(quant_inst,[status(thm)],[])).
% 72.92/45.74 tff(11335,plain,
% 72.92/45.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB69) | (~v130(constB69, bitIndex1)) | v127(constB69, bitIndex1)),
% 72.92/45.74 inference(modus_ponens,[status(thm)],[11334, 11333])).
% 72.92/45.74 tff(11336,plain,
% 72.92/45.74 ((~v130(constB69, bitIndex1)) | v127(constB69, bitIndex1)),
% 72.92/45.74 inference(unit_resolution,[status(thm)],[11335, 824, 11023])).
% 72.92/45.74 tff(11337,plain,
% 72.92/45.74 (v127(constB69, bitIndex1)),
% 72.92/45.74 inference(unit_resolution,[status(thm)],[11336, 11332])).
% 72.92/45.74 tff(11338,plain,
% 72.92/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex1)) | v129(constB70, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex1)) | v129(constB70, bitIndex1))),
% 72.92/45.74 inference(rewrite,[status(thm)],[])).
% 72.92/45.74 tff(11339,plain,
% 72.92/45.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex1)) | v129(constB70, bitIndex1))),
% 72.92/45.74 inference(quant_inst,[status(thm)],[])).
% 72.92/45.74 tff(11340,plain,
% 72.92/45.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex1)) | v129(constB70, bitIndex1)),
% 72.92/45.74 inference(modus_ponens,[status(thm)],[11339, 11338])).
% 72.92/45.74 tff(11341,plain,
% 72.92/45.74 ((~v127(constB69, bitIndex1)) | v129(constB70, bitIndex1)),
% 72.92/45.74 inference(unit_resolution,[status(thm)],[11340, 839, 11038])).
% 72.92/45.74 tff(11342,plain,
% 72.92/45.74 (v129(constB70, bitIndex1)),
% 72.92/45.74 inference(unit_resolution,[status(thm)],[11341, 11337])).
% 72.92/45.74 tff(11343,plain,
% 72.92/45.74 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1)) | (~v100(constB70)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1)) | (~v100(constB70)))),
% 72.92/45.74 inference(rewrite,[status(thm)],[])).
% 72.92/45.74 tff(11344,plain,
% 72.92/45.74 ((v90(constB70, bitIndex1) | (~v100(constB70)) | (~v129(constB70, bitIndex1))) <=> (v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1)) | (~v100(constB70)))),
% 72.92/45.74 inference(rewrite,[status(thm)],[])).
% 72.92/45.74 tff(11345,plain,
% 72.92/45.74 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~v100(constB70)) | (~v129(constB70, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1)) | (~v100(constB70))))),
% 72.92/45.74 inference(monotonicity,[status(thm)],[11344])).
% 72.92/45.74 tff(11346,plain,
% 72.92/45.74 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~v100(constB70)) | (~v129(constB70, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1)) | (~v100(constB70)))),
% 72.92/45.74 inference(transitivity,[status(thm)],[11345, 11343])).
% 72.92/45.74 tff(11347,plain,
% 72.92/45.74 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~v100(constB70)) | (~v129(constB70, bitIndex1)))),
% 72.92/45.74 inference(quant_inst,[status(thm)],[])).
% 72.92/45.74 tff(11348,plain,
% 72.92/45.74 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1)) | (~v100(constB70))),
% 72.92/45.74 inference(modus_ponens,[status(thm)],[11347, 11346])).
% 72.92/45.74 tff(11349,plain,
% 72.92/45.74 (v90(constB70, bitIndex1) | (~v100(constB70))),
% 72.92/45.74 inference(unit_resolution,[status(thm)],[11348, 854, 11342])).
% 72.92/45.74 tff(11350,plain,
% 72.92/45.74 (v90(constB70, bitIndex1)),
% 72.92/45.74 inference(unit_resolution,[status(thm)],[11349, 11294])).
% 72.92/45.74 tff(11351,plain,
% 72.92/45.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex1))),
% 72.92/45.74 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11352,plain,
% 72.92/45.75 (((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex1)) | v100(constB71) | v90(constB71, bitIndex1)) <=> ((~v90(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex1))),
% 72.92/45.75 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11353,plain,
% 72.92/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex1)) | v100(constB71) | v90(constB71, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex1)))),
% 72.92/45.75 inference(monotonicity,[status(thm)],[11352])).
% 72.92/45.75 tff(11354,plain,
% 72.92/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex1)) | v100(constB71) | v90(constB71, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex1))),
% 72.92/45.75 inference(transitivity,[status(thm)],[11353, 11351])).
% 72.92/45.75 tff(11355,plain,
% 72.92/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex1)) | v100(constB71) | v90(constB71, bitIndex1))),
% 72.92/45.75 inference(quant_inst,[status(thm)],[])).
% 72.92/45.75 tff(11356,plain,
% 72.92/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex1)),
% 72.92/45.75 inference(modus_ponens,[status(thm)],[11355, 11354])).
% 72.92/45.75 tff(11357,plain,
% 72.92/45.75 ((~v90(constB70, bitIndex1)) | v100(constB71) | v90(constB71, bitIndex1)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11356, 872, 11100])).
% 72.92/45.75 tff(11358,plain,
% 72.92/45.75 ((~v90(constB70, bitIndex1)) | v90(constB71, bitIndex1)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11357, 11112])).
% 72.92/45.75 tff(11359,plain,
% 72.92/45.75 (v90(constB71, bitIndex1)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11358, 11350])).
% 72.92/45.75 tff(11360,plain,
% 72.92/45.75 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB69)) | (~v130(constB69, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB69)) | (~v130(constB69, bitIndex0)))),
% 72.92/45.75 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11361,plain,
% 72.92/45.75 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB69)) | (~v130(constB69, bitIndex0)))),
% 72.92/45.75 inference(quant_inst,[status(thm)],[])).
% 72.92/45.75 tff(11362,plain,
% 72.92/45.75 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB69)) | (~v130(constB69, bitIndex0))),
% 72.92/45.75 inference(modus_ponens,[status(thm)],[11361, 11360])).
% 72.92/45.75 tff(11363,plain,
% 72.92/45.75 (~v130(constB69, bitIndex0)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11362, 891, 11272])).
% 72.92/45.75 tff(11364,plain,
% 72.92/45.75 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB69, bitIndex0)) | v26(constB69) | v130(constB69, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB69, bitIndex0)) | v26(constB69) | v130(constB69, bitIndex0))),
% 72.92/45.75 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11365,plain,
% 72.92/45.75 ((v26(constB69) | v130(constB69, bitIndex0) | (~v127(constB69, bitIndex0))) <=> ((~v127(constB69, bitIndex0)) | v26(constB69) | v130(constB69, bitIndex0))),
% 72.92/45.75 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11366,plain,
% 72.92/45.75 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB69) | v130(constB69, bitIndex0) | (~v127(constB69, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB69, bitIndex0)) | v26(constB69) | v130(constB69, bitIndex0)))),
% 72.92/45.75 inference(monotonicity,[status(thm)],[11365])).
% 72.92/45.75 tff(11367,plain,
% 72.92/45.75 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB69) | v130(constB69, bitIndex0) | (~v127(constB69, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB69, bitIndex0)) | v26(constB69) | v130(constB69, bitIndex0))),
% 72.92/45.75 inference(transitivity,[status(thm)],[11366, 11364])).
% 72.92/45.75 tff(11368,plain,
% 72.92/45.75 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB69) | v130(constB69, bitIndex0) | (~v127(constB69, bitIndex0)))),
% 72.92/45.75 inference(quant_inst,[status(thm)],[])).
% 72.92/45.75 tff(11369,plain,
% 72.92/45.75 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB69, bitIndex0)) | v26(constB69) | v130(constB69, bitIndex0)),
% 72.92/45.75 inference(modus_ponens,[status(thm)],[11368, 11367])).
% 72.92/45.75 tff(11370,plain,
% 72.92/45.75 ((~v127(constB69, bitIndex0)) | v130(constB69, bitIndex0)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11369, 905, 11023])).
% 72.92/45.75 tff(11371,plain,
% 72.92/45.75 (~v127(constB69, bitIndex0)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11370, 11363])).
% 72.92/45.75 tff(11372,plain,
% 72.92/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB69, constB70)) | v127(constB69, bitIndex0) | (~v129(constB70, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB69, constB70)) | v127(constB69, bitIndex0) | (~v129(constB70, bitIndex0)))),
% 72.92/45.75 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11373,plain,
% 72.92/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB69, constB70)) | v127(constB69, bitIndex0) | (~v129(constB70, bitIndex0)))),
% 72.92/45.75 inference(quant_inst,[status(thm)],[])).
% 72.92/45.75 tff(11374,plain,
% 72.92/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB69, constB70)) | v127(constB69, bitIndex0) | (~v129(constB70, bitIndex0))),
% 72.92/45.75 inference(modus_ponens,[status(thm)],[11373, 11372])).
% 72.92/45.75 tff(11375,plain,
% 72.92/45.75 (v127(constB69, bitIndex0) | (~v129(constB70, bitIndex0))),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11374, 923, 11038])).
% 72.92/45.75 tff(11376,plain,
% 72.92/45.75 (~v129(constB70, bitIndex0)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11375, 11371])).
% 72.92/45.75 tff(11377,plain,
% 72.92/45.75 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB70, bitIndex0)) | v129(constB70, bitIndex0) | (~v100(constB70)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB70, bitIndex0)) | v129(constB70, bitIndex0) | (~v100(constB70)))),
% 72.92/45.75 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11378,plain,
% 72.92/45.75 (((~v90(constB70, bitIndex0)) | (~v100(constB70)) | v129(constB70, bitIndex0)) <=> ((~v90(constB70, bitIndex0)) | v129(constB70, bitIndex0) | (~v100(constB70)))),
% 72.92/45.75 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11379,plain,
% 72.92/45.75 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB70, bitIndex0)) | (~v100(constB70)) | v129(constB70, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB70, bitIndex0)) | v129(constB70, bitIndex0) | (~v100(constB70))))),
% 72.92/45.75 inference(monotonicity,[status(thm)],[11378])).
% 72.92/45.75 tff(11380,plain,
% 72.92/45.75 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB70, bitIndex0)) | (~v100(constB70)) | v129(constB70, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB70, bitIndex0)) | v129(constB70, bitIndex0) | (~v100(constB70)))),
% 72.92/45.75 inference(transitivity,[status(thm)],[11379, 11377])).
% 72.92/45.75 tff(11381,plain,
% 72.92/45.75 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB70, bitIndex0)) | (~v100(constB70)) | v129(constB70, bitIndex0))),
% 72.92/45.75 inference(quant_inst,[status(thm)],[])).
% 72.92/45.75 tff(11382,plain,
% 72.92/45.75 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB70, bitIndex0)) | v129(constB70, bitIndex0) | (~v100(constB70))),
% 72.92/45.75 inference(modus_ponens,[status(thm)],[11381, 11380])).
% 72.92/45.75 tff(11383,plain,
% 72.92/45.75 ((~v90(constB70, bitIndex0)) | (~v100(constB70))),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11382, 938, 11376])).
% 72.92/45.75 tff(11384,plain,
% 72.92/45.75 (~v90(constB70, bitIndex0)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11383, 11294])).
% 72.92/45.75 tff(11385,plain,
% 72.92/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB70, bitIndex0) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex0)))),
% 72.92/45.75 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11386,plain,
% 72.92/45.75 (((~nextState(constB70, constB71)) | v90(constB70, bitIndex0) | v100(constB71) | (~v90(constB71, bitIndex0))) <=> (v90(constB70, bitIndex0) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex0)))),
% 72.92/45.75 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11387,plain,
% 72.92/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex0) | v100(constB71) | (~v90(constB71, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex0))))),
% 72.92/45.75 inference(monotonicity,[status(thm)],[11386])).
% 72.92/45.75 tff(11388,plain,
% 72.92/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex0) | v100(constB71) | (~v90(constB71, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB70, bitIndex0) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex0)))),
% 72.92/45.75 inference(transitivity,[status(thm)],[11387, 11385])).
% 72.92/45.75 tff(11389,plain,
% 72.92/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB70, constB71)) | v90(constB70, bitIndex0) | v100(constB71) | (~v90(constB71, bitIndex0)))),
% 72.92/45.75 inference(quant_inst,[status(thm)],[])).
% 72.92/45.75 tff(11390,plain,
% 72.92/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB70, bitIndex0) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex0))),
% 72.92/45.75 inference(modus_ponens,[status(thm)],[11389, 11388])).
% 72.92/45.75 tff(11391,plain,
% 72.92/45.75 (v90(constB70, bitIndex0) | v100(constB71) | (~v90(constB71, bitIndex0))),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11390, 130, 11100])).
% 72.92/45.75 tff(11392,plain,
% 72.92/45.75 (v90(constB70, bitIndex0) | (~v90(constB71, bitIndex0))),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11391, 11112])).
% 72.92/45.75 tff(11393,plain,
% 72.92/45.75 (~v90(constB71, bitIndex0)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11392, 11384])).
% 72.92/45.75 tff(11394,assumption,(~v121(constB71)), introduced(assumption)).
% 72.92/45.75 tff(11395,plain,
% 72.92/45.75 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB71, bitIndex0) | (~v90(constB71, bitIndex1)) | v90(constB71, bitIndex2) | v121(constB71))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB71, bitIndex0) | (~v90(constB71, bitIndex1)) | v90(constB71, bitIndex2) | v121(constB71))),
% 72.92/45.75 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11396,plain,
% 72.92/45.75 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB71, bitIndex0) | (~v90(constB71, bitIndex1)) | v90(constB71, bitIndex2) | v121(constB71))),
% 72.92/45.75 inference(quant_inst,[status(thm)],[])).
% 72.92/45.75 tff(11397,plain,
% 72.92/45.75 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB71, bitIndex0) | (~v90(constB71, bitIndex1)) | v90(constB71, bitIndex2) | v121(constB71)),
% 72.92/45.75 inference(modus_ponens,[status(thm)],[11396, 11395])).
% 72.92/45.75 tff(11398,plain,
% 72.92/45.75 (v90(constB71, bitIndex0) | (~v90(constB71, bitIndex1)) | v90(constB71, bitIndex2)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11397, 965, 11394])).
% 72.92/45.75 tff(11399,plain,
% 72.92/45.75 ($false),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11398, 11393, 11359, 11328])).
% 72.92/45.75 tff(11400,plain,((~v120(constB69)) | v121(constB71)), inference(lemma,lemma(discharge,[]))).
% 72.92/45.75 tff(11401,plain,
% 72.92/45.75 (~v120(constB69)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11400, 11271])).
% 72.92/45.75 tff(11402,plain,
% 72.92/45.75 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB71) | (~v124(constB71)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB71) | (~v124(constB71)))),
% 72.92/45.75 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11403,plain,
% 72.92/45.75 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB71) | (~v124(constB71)))),
% 72.92/45.75 inference(quant_inst,[status(thm)],[])).
% 72.92/45.75 tff(11404,plain,
% 72.92/45.75 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB71) | (~v124(constB71))),
% 72.92/45.75 inference(modus_ponens,[status(thm)],[11403, 11402])).
% 72.92/45.75 tff(11405,plain,
% 72.92/45.75 (~v124(constB71)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11404, 1718, 11255])).
% 72.92/45.75 tff(11406,plain,
% 72.92/45.75 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB71) | (~v123(constB71)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB71) | (~v123(constB71)))),
% 72.92/45.75 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11407,plain,
% 72.92/45.75 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB71) | (~v123(constB71)))),
% 72.92/45.75 inference(quant_inst,[status(thm)],[])).
% 72.92/45.75 tff(11408,plain,
% 72.92/45.75 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB71) | (~v123(constB71))),
% 72.92/45.75 inference(modus_ponens,[status(thm)],[11407, 11406])).
% 72.92/45.75 tff(11409,plain,
% 72.92/45.75 (~v123(constB71)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11408, 1488, 11259])).
% 72.92/45.75 tff(11410,plain,
% 72.92/45.75 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB71) | (~v118(constB71)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB71) | (~v118(constB71)))),
% 72.92/45.75 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11411,plain,
% 72.92/45.75 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB71) | (~v118(constB71)))),
% 72.92/45.75 inference(quant_inst,[status(thm)],[])).
% 72.92/45.75 tff(11412,plain,
% 72.92/45.75 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB71) | (~v118(constB71))),
% 72.92/45.75 inference(modus_ponens,[status(thm)],[11411, 11410])).
% 72.92/45.75 tff(11413,plain,
% 72.92/45.75 (~v118(constB71)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11412, 243, 11267])).
% 72.92/45.75 tff(11414,plain,
% 72.92/45.75 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB71) | (~v120(constB71)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB71) | (~v120(constB71)))),
% 72.92/45.75 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11415,plain,
% 72.92/45.75 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB71) | (~v120(constB71)))),
% 72.92/45.75 inference(quant_inst,[status(thm)],[])).
% 72.92/45.75 tff(11416,plain,
% 72.92/45.75 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB71) | (~v120(constB71))),
% 72.92/45.75 inference(modus_ponens,[status(thm)],[11415, 11414])).
% 72.92/45.75 tff(11417,plain,
% 72.92/45.75 (~v120(constB71)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11416, 646, 11413])).
% 72.92/45.75 tff(11418,assumption,(~v90(constB71, bitIndex1)), introduced(assumption)).
% 72.92/45.75 tff(11419,assumption,(~v120(constB71)), introduced(assumption)).
% 72.92/45.75 tff(11420,assumption,(~v124(constB71)), introduced(assumption)).
% 72.92/45.75 tff(11421,assumption,(v90(constB71, bitIndex0)), introduced(assumption)).
% 72.92/45.75 tff(11422,plain,
% 72.92/45.75 ((~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2))),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11227, 1707, 11420])).
% 72.92/45.75 tff(11423,plain,
% 72.92/45.75 (~v90(constB71, bitIndex2)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11422, 11418, 11421])).
% 72.92/45.75 tff(11424,plain,
% 72.92/45.75 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | v90(constB71, bitIndex2) | v120(constB71))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | v90(constB71, bitIndex2) | v120(constB71))),
% 72.92/45.75 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11425,plain,
% 72.92/45.75 (((~v90(constB71, bitIndex0)) | v120(constB71) | v90(constB71, bitIndex1) | v90(constB71, bitIndex2)) <=> ((~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | v90(constB71, bitIndex2) | v120(constB71))),
% 72.92/45.75 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11426,plain,
% 72.92/45.75 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB71, bitIndex0)) | v120(constB71) | v90(constB71, bitIndex1) | v90(constB71, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | v90(constB71, bitIndex2) | v120(constB71)))),
% 72.92/45.75 inference(monotonicity,[status(thm)],[11425])).
% 72.92/45.75 tff(11427,plain,
% 72.92/45.75 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB71, bitIndex0)) | v120(constB71) | v90(constB71, bitIndex1) | v90(constB71, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | v90(constB71, bitIndex2) | v120(constB71))),
% 72.92/45.75 inference(transitivity,[status(thm)],[11426, 11424])).
% 72.92/45.75 tff(11428,plain,
% 72.92/45.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB71, bitIndex0)) | v120(constB71) | v90(constB71, bitIndex1) | v90(constB71, bitIndex2))),
% 72.92/45.75 inference(quant_inst,[status(thm)],[])).
% 72.92/45.75 tff(11429,plain,
% 72.92/45.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | v90(constB71, bitIndex2) | v120(constB71)),
% 72.92/45.75 inference(modus_ponens,[status(thm)],[11428, 11427])).
% 72.92/45.75 tff(11430,plain,
% 72.92/45.75 ((~v90(constB71, bitIndex0)) | v90(constB71, bitIndex1) | v90(constB71, bitIndex2)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11429, 631, 11419])).
% 72.92/45.75 tff(11431,plain,
% 72.92/45.75 ($false),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11430, 11423, 11418, 11421])).
% 72.92/45.75 tff(11432,plain,(v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0)) | v120(constB71) | v124(constB71)), inference(lemma,lemma(discharge,[]))).
% 72.92/45.75 tff(11433,plain,
% 72.92/45.75 (~v90(constB71, bitIndex0)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11432, 11418, 11420, 11419])).
% 72.92/45.75 tff(11434,assumption,(~v123(constB71)), introduced(assumption)).
% 72.92/45.75 tff(11435,plain,
% 72.92/45.75 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB71, bitIndex0) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | v123(constB71))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB71, bitIndex0) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | v123(constB71))),
% 72.92/45.75 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11436,plain,
% 72.92/45.75 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB71, bitIndex0) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | v123(constB71))),
% 72.92/45.75 inference(quant_inst,[status(thm)],[])).
% 72.92/45.75 tff(11437,plain,
% 72.92/45.75 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB71, bitIndex0) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | v123(constB71)),
% 72.92/45.75 inference(modus_ponens,[status(thm)],[11436, 11435])).
% 72.92/45.75 tff(11438,plain,
% 72.92/45.75 (v90(constB71, bitIndex0) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2))),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11437, 1477, 11434])).
% 72.92/45.75 tff(11439,plain,
% 72.92/45.75 (~v90(constB71, bitIndex2)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11438, 11433, 11418])).
% 72.92/45.75 tff(11440,plain,
% 72.92/45.75 (~v90(constB70, bitIndex1)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11358, 11418])).
% 72.92/45.75 tff(11441,assumption,(~v120(constB69)), introduced(assumption)).
% 72.92/45.75 tff(11442,plain,
% 72.92/45.75 (~v90(constB70, bitIndex0)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11120, 11433])).
% 72.92/45.75 tff(11443,assumption,(~v90(constB70, bitIndex1)), introduced(assumption)).
% 72.92/45.75 tff(11444,assumption,(~v90(constB70, bitIndex0)), introduced(assumption)).
% 72.92/45.75 tff(11445,assumption,(~v90(constB70, bitIndex2)), introduced(assumption)).
% 72.92/45.75 tff(11446,assumption,(~v100(constB70)), introduced(assumption)).
% 72.92/45.75 tff(11447,plain,
% 72.92/45.75 (~v110(constB70)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11071, 11446])).
% 72.92/45.75 tff(11448,plain,
% 72.92/45.75 (~v108(constB69)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11045, 11447])).
% 72.92/45.75 tff(11449,plain,
% 72.92/45.75 (~v112(constB69)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11034, 210, 11448])).
% 72.92/45.75 tff(11450,plain,
% 72.92/45.75 (~v113(constB69)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11030, 11449])).
% 72.92/45.75 tff(11451,plain,
% 72.92/45.75 (~v114(constB69)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11018, 287, 11450])).
% 72.92/45.75 tff(11452,plain,
% 72.92/45.75 (~v115(constB69)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11014, 276, 11451])).
% 72.92/45.75 tff(11453,plain,
% 72.92/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB69, bitIndex2)) | (~nextState(constB69, constB70)) | v100(constB70) | v90(constB70, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB69, bitIndex2)) | (~nextState(constB69, constB70)) | v100(constB70) | v90(constB70, bitIndex2))),
% 72.92/45.75 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11454,plain,
% 72.92/45.75 (((~nextState(constB69, constB70)) | (~v90(constB69, bitIndex2)) | v100(constB70) | v90(constB70, bitIndex2)) <=> ((~v90(constB69, bitIndex2)) | (~nextState(constB69, constB70)) | v100(constB70) | v90(constB70, bitIndex2))),
% 72.92/45.75 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11455,plain,
% 72.92/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB69, constB70)) | (~v90(constB69, bitIndex2)) | v100(constB70) | v90(constB70, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB69, bitIndex2)) | (~nextState(constB69, constB70)) | v100(constB70) | v90(constB70, bitIndex2)))),
% 72.92/45.75 inference(monotonicity,[status(thm)],[11454])).
% 72.92/45.75 tff(11456,plain,
% 72.92/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB69, constB70)) | (~v90(constB69, bitIndex2)) | v100(constB70) | v90(constB70, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB69, bitIndex2)) | (~nextState(constB69, constB70)) | v100(constB70) | v90(constB70, bitIndex2))),
% 72.92/45.75 inference(transitivity,[status(thm)],[11455, 11453])).
% 72.92/45.75 tff(11457,plain,
% 72.92/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB69, constB70)) | (~v90(constB69, bitIndex2)) | v100(constB70) | v90(constB70, bitIndex2))),
% 72.92/45.75 inference(quant_inst,[status(thm)],[])).
% 72.92/45.75 tff(11458,plain,
% 72.92/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB69, bitIndex2)) | (~nextState(constB69, constB70)) | v100(constB70) | v90(constB70, bitIndex2)),
% 72.92/45.75 inference(modus_ponens,[status(thm)],[11457, 11456])).
% 72.92/45.75 tff(11459,plain,
% 72.92/45.75 ((~v90(constB69, bitIndex2)) | v100(constB70) | v90(constB70, bitIndex2)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11458, 1370, 11038])).
% 72.92/45.75 tff(11460,plain,
% 72.92/45.75 (~v90(constB69, bitIndex2)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11459, 11446, 11445])).
% 72.92/45.75 tff(11461,plain,
% 72.92/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB69, bitIndex1)) | (~nextState(constB69, constB70)) | v100(constB70) | v90(constB70, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB69, bitIndex1)) | (~nextState(constB69, constB70)) | v100(constB70) | v90(constB70, bitIndex1))),
% 72.92/45.75 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11462,plain,
% 72.92/45.75 (((~nextState(constB69, constB70)) | (~v90(constB69, bitIndex1)) | v100(constB70) | v90(constB70, bitIndex1)) <=> ((~v90(constB69, bitIndex1)) | (~nextState(constB69, constB70)) | v100(constB70) | v90(constB70, bitIndex1))),
% 72.92/45.75 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11463,plain,
% 72.92/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB69, constB70)) | (~v90(constB69, bitIndex1)) | v100(constB70) | v90(constB70, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB69, bitIndex1)) | (~nextState(constB69, constB70)) | v100(constB70) | v90(constB70, bitIndex1)))),
% 72.92/45.75 inference(monotonicity,[status(thm)],[11462])).
% 72.92/45.75 tff(11464,plain,
% 72.92/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB69, constB70)) | (~v90(constB69, bitIndex1)) | v100(constB70) | v90(constB70, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB69, bitIndex1)) | (~nextState(constB69, constB70)) | v100(constB70) | v90(constB70, bitIndex1))),
% 72.92/45.75 inference(transitivity,[status(thm)],[11463, 11461])).
% 72.92/45.75 tff(11465,plain,
% 72.92/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB69, constB70)) | (~v90(constB69, bitIndex1)) | v100(constB70) | v90(constB70, bitIndex1))),
% 72.92/45.75 inference(quant_inst,[status(thm)],[])).
% 72.92/45.75 tff(11466,plain,
% 72.92/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB69, bitIndex1)) | (~nextState(constB69, constB70)) | v100(constB70) | v90(constB70, bitIndex1)),
% 72.92/45.75 inference(modus_ponens,[status(thm)],[11465, 11464])).
% 72.92/45.75 tff(11467,plain,
% 72.92/45.75 ((~v90(constB69, bitIndex1)) | v100(constB70) | v90(constB70, bitIndex1)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11466, 872, 11038])).
% 72.92/45.75 tff(11468,plain,
% 72.92/45.75 (~v90(constB69, bitIndex1)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11467, 11446, 11443])).
% 72.92/45.75 tff(11469,plain,
% 72.92/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB69, bitIndex0)) | (~nextState(constB69, constB70)) | v100(constB70) | v90(constB70, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB69, bitIndex0)) | (~nextState(constB69, constB70)) | v100(constB70) | v90(constB70, bitIndex0))),
% 72.92/45.75 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11470,plain,
% 72.92/45.75 (((~nextState(constB69, constB70)) | (~v90(constB69, bitIndex0)) | v100(constB70) | v90(constB70, bitIndex0)) <=> ((~v90(constB69, bitIndex0)) | (~nextState(constB69, constB70)) | v100(constB70) | v90(constB70, bitIndex0))),
% 72.92/45.75 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11471,plain,
% 72.92/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v90(constB69, bitIndex0)) | v100(constB70) | v90(constB70, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB69, bitIndex0)) | (~nextState(constB69, constB70)) | v100(constB70) | v90(constB70, bitIndex0)))),
% 72.92/45.75 inference(monotonicity,[status(thm)],[11470])).
% 72.92/45.75 tff(11472,plain,
% 72.92/45.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v90(constB69, bitIndex0)) | v100(constB70) | v90(constB70, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB69, bitIndex0)) | (~nextState(constB69, constB70)) | v100(constB70) | v90(constB70, bitIndex0))),
% 72.92/45.75 inference(transitivity,[status(thm)],[11471, 11469])).
% 72.92/45.75 tff(11473,plain,
% 72.92/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v90(constB69, bitIndex0)) | v100(constB70) | v90(constB70, bitIndex0))),
% 72.92/45.75 inference(quant_inst,[status(thm)],[])).
% 72.92/45.75 tff(11474,plain,
% 72.92/45.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB69, bitIndex0)) | (~nextState(constB69, constB70)) | v100(constB70) | v90(constB70, bitIndex0)),
% 72.92/45.75 inference(modus_ponens,[status(thm)],[11473, 11472])).
% 72.92/45.75 tff(11475,plain,
% 72.92/45.75 ((~v90(constB69, bitIndex0)) | v100(constB70) | v90(constB70, bitIndex0)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11474, 437, 11038])).
% 72.92/45.75 tff(11476,plain,
% 72.92/45.75 (~v90(constB69, bitIndex0)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11475, 11446, 11444])).
% 72.92/45.75 tff(11477,plain,
% 72.92/45.75 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB69) | v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | v90(constB69, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB69) | v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | v90(constB69, bitIndex2))),
% 72.92/45.75 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11478,plain,
% 72.92/45.75 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB69) | v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | v90(constB69, bitIndex2))),
% 72.92/45.75 inference(quant_inst,[status(thm)],[])).
% 72.92/45.75 tff(11479,plain,
% 72.92/45.75 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB69) | v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | v90(constB69, bitIndex2)),
% 72.92/45.75 inference(modus_ponens,[status(thm)],[11478, 11477])).
% 72.92/45.75 tff(11480,plain,
% 72.92/45.75 (v119(constB69)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11479, 151, 11476, 11468, 11460])).
% 72.92/45.75 tff(11481,plain,
% 72.92/45.75 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB69) | (~v119(constB69)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB69) | (~v119(constB69)))),
% 72.92/45.75 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11482,plain,
% 72.92/45.75 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB69) | (~v119(constB69)))),
% 72.92/45.75 inference(quant_inst,[status(thm)],[])).
% 72.92/45.75 tff(11483,plain,
% 72.92/45.75 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB69) | (~v119(constB69))),
% 72.92/45.75 inference(modus_ponens,[status(thm)],[11482, 11481])).
% 72.92/45.75 tff(11484,plain,
% 72.92/45.75 (v118(constB69)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11483, 232, 11480])).
% 72.92/45.75 tff(11485,plain,
% 72.92/45.75 (v117(constB69)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11279, 243, 11484])).
% 72.92/45.75 tff(11486,plain,
% 72.92/45.75 (v116(constB69)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11283, 254, 11485])).
% 72.92/45.75 tff(11487,plain,
% 72.92/45.75 ($false),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11287, 265, 11486, 11452])).
% 72.92/45.75 tff(11488,plain,(v100(constB70) | v90(constB70, bitIndex2) | v90(constB70, bitIndex0) | v90(constB70, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.92/45.75 tff(11489,plain,
% 72.92/45.75 (v100(constB70)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11488, 11445, 11444, 11443])).
% 72.92/45.75 tff(11490,plain,
% 72.92/45.75 ((~v129(constB70, bitIndex0)) | (~v100(constB70))),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11092, 401, 11444])).
% 72.92/45.75 tff(11491,plain,
% 72.92/45.75 (~v129(constB70, bitIndex0)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11490, 11489])).
% 72.92/45.75 tff(11492,plain,
% 72.92/45.75 (~v127(constB69, bitIndex0)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11085, 11491])).
% 72.92/45.75 tff(11493,plain,
% 72.92/45.75 (~v130(constB69, bitIndex0)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11080, 11492])).
% 72.92/45.75 tff(11494,plain,
% 72.92/45.75 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB69)) | v130(constB69, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB69)) | v130(constB69, bitIndex0))),
% 72.92/45.75 inference(rewrite,[status(thm)],[])).
% 72.92/45.75 tff(11495,plain,
% 72.92/45.75 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB69)) | v130(constB69, bitIndex0))),
% 72.92/45.75 inference(quant_inst,[status(thm)],[])).
% 72.92/45.75 tff(11496,plain,
% 72.92/45.75 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB69)) | v130(constB69, bitIndex0)),
% 72.92/45.75 inference(modus_ponens,[status(thm)],[11495, 11494])).
% 72.92/45.75 tff(11497,plain,
% 72.92/45.75 (~v119(constB69)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11496, 165, 11493])).
% 72.92/45.75 tff(11498,plain,
% 72.92/45.75 (~v123(constB69)),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11075, 1666, 11493])).
% 72.92/45.75 tff(11499,plain,
% 72.92/45.75 ((~v129(constB70, bitIndex2)) | (~v100(constB70))),
% 72.92/45.75 inference(unit_resolution,[status(thm)],[11141, 1334, 11445])).
% 72.92/45.75 tff(11500,plain,
% 72.92/45.76 (~v129(constB70, bitIndex2)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11499, 11489])).
% 72.92/45.76 tff(11501,plain,
% 72.92/45.76 (~v127(constB69, bitIndex2)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11134, 11500])).
% 72.92/45.76 tff(11502,plain,
% 72.92/45.76 (~v130(constB69, bitIndex2)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11129, 11501])).
% 72.92/45.76 tff(11503,plain,
% 72.92/45.76 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB69)) | v130(constB69, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB69)) | v130(constB69, bitIndex2))),
% 72.92/45.76 inference(rewrite,[status(thm)],[])).
% 72.92/45.76 tff(11504,plain,
% 72.92/45.76 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB69)) | v130(constB69, bitIndex2))),
% 72.92/45.76 inference(quant_inst,[status(thm)],[])).
% 72.92/45.76 tff(11505,plain,
% 72.92/45.76 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB69)) | v130(constB69, bitIndex2)),
% 72.92/45.76 inference(modus_ponens,[status(thm)],[11504, 11503])).
% 72.92/45.76 tff(11506,plain,
% 72.92/45.76 (~v122(constB69)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11505, 1290, 11502])).
% 72.92/45.76 tff(11507,plain,
% 72.92/45.76 ((~v129(constB70, bitIndex1)) | (~v100(constB70))),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11348, 854, 11443])).
% 72.92/45.76 tff(11508,plain,
% 72.92/45.76 (~v129(constB70, bitIndex1)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11507, 11489])).
% 72.92/45.76 tff(11509,plain,
% 72.92/45.76 (~v127(constB69, bitIndex1)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11341, 11508])).
% 72.92/45.76 tff(11510,plain,
% 72.92/45.76 (~v130(constB69, bitIndex1)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11336, 11509])).
% 72.92/45.76 tff(11511,plain,
% 72.92/45.76 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB69)) | v130(constB69, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB69)) | v130(constB69, bitIndex1))),
% 72.92/45.76 inference(rewrite,[status(thm)],[])).
% 72.92/45.76 tff(11512,plain,
% 72.92/45.76 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB69)) | v130(constB69, bitIndex1))),
% 72.92/45.76 inference(quant_inst,[status(thm)],[])).
% 72.92/45.76 tff(11513,plain,
% 72.92/45.76 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB69)) | v130(constB69, bitIndex1)),
% 72.92/45.76 inference(modus_ponens,[status(thm)],[11512, 11511])).
% 72.92/45.76 tff(11514,plain,
% 72.92/45.76 (~v121(constB69)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11513, 1121, 11510])).
% 72.92/45.76 tff(11515,plain,
% 72.92/45.76 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB69)) | v130(constB69, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB69)) | v130(constB69, bitIndex1))),
% 72.92/45.76 inference(rewrite,[status(thm)],[])).
% 72.92/45.76 tff(11516,plain,
% 72.92/45.76 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB69)) | v130(constB69, bitIndex1))),
% 72.92/45.76 inference(quant_inst,[status(thm)],[])).
% 72.92/45.76 tff(11517,plain,
% 72.92/45.76 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB69)) | v130(constB69, bitIndex1)),
% 72.92/45.76 inference(modus_ponens,[status(thm)],[11516, 11515])).
% 72.92/45.76 tff(11518,plain,
% 72.92/45.76 (~v124(constB69)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11517, 1867, 11510])).
% 72.92/45.76 tff(11519,plain,
% 72.92/45.76 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB69) | v123(constB69) | v122(constB69) | v121(constB69) | v120(constB69) | v119(constB69) | v130(constB69, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB69) | v123(constB69) | v122(constB69) | v121(constB69) | v120(constB69) | v119(constB69) | v130(constB69, bitIndex0))),
% 72.92/45.76 inference(rewrite,[status(thm)],[])).
% 72.92/45.76 tff(11520,plain,
% 72.92/45.76 ((v120(constB69) | v119(constB69) | v121(constB69) | v122(constB69) | v123(constB69) | v124(constB69) | v130(constB69, bitIndex0)) <=> (v124(constB69) | v123(constB69) | v122(constB69) | v121(constB69) | v120(constB69) | v119(constB69) | v130(constB69, bitIndex0))),
% 72.92/45.76 inference(rewrite,[status(thm)],[])).
% 72.92/45.76 tff(11521,plain,
% 72.92/45.76 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB69) | v119(constB69) | v121(constB69) | v122(constB69) | v123(constB69) | v124(constB69) | v130(constB69, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB69) | v123(constB69) | v122(constB69) | v121(constB69) | v120(constB69) | v119(constB69) | v130(constB69, bitIndex0)))),
% 72.92/45.76 inference(monotonicity,[status(thm)],[11520])).
% 72.92/45.76 tff(11522,plain,
% 72.92/45.76 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB69) | v119(constB69) | v121(constB69) | v122(constB69) | v123(constB69) | v124(constB69) | v130(constB69, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB69) | v123(constB69) | v122(constB69) | v121(constB69) | v120(constB69) | v119(constB69) | v130(constB69, bitIndex0))),
% 72.92/45.76 inference(transitivity,[status(thm)],[11521, 11519])).
% 72.92/45.76 tff(11523,plain,
% 72.92/45.76 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB69) | v119(constB69) | v121(constB69) | v122(constB69) | v123(constB69) | v124(constB69) | v130(constB69, bitIndex0))),
% 72.92/45.76 inference(quant_inst,[status(thm)],[])).
% 72.92/45.76 tff(11524,plain,
% 72.92/45.76 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB69) | v123(constB69) | v122(constB69) | v121(constB69) | v120(constB69) | v119(constB69) | v130(constB69, bitIndex0)),
% 72.92/45.76 inference(modus_ponens,[status(thm)],[11523, 11522])).
% 72.92/45.76 tff(11525,plain,
% 72.92/45.76 (v123(constB69) | v122(constB69) | v119(constB69)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11524, 2192, 11493, 11441, 11518, 11514])).
% 72.92/45.76 tff(11526,plain,
% 72.92/45.76 ($false),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11525, 11506, 11498, 11497])).
% 72.92/45.76 tff(11527,plain,(v90(constB70, bitIndex2) | v120(constB69) | v90(constB70, bitIndex0) | v90(constB70, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 72.92/45.76 tff(11528,plain,
% 72.92/45.76 (v90(constB70, bitIndex2)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11527, 11442, 11441, 11440])).
% 72.92/45.76 tff(11529,plain,
% 72.92/45.76 ($false),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11151, 11528, 11439])).
% 72.92/45.76 tff(11530,plain,(v90(constB71, bitIndex1) | v120(constB69) | v123(constB71) | v124(constB71) | v120(constB71)), inference(lemma,lemma(discharge,[]))).
% 72.92/45.76 tff(11531,plain,
% 72.92/45.76 (v90(constB71, bitIndex1)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11530, 11417, 11409, 11405, 11401])).
% 72.92/45.76 tff(11532,plain,
% 72.92/45.76 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB71) | (~v125(constB71)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB71) | (~v125(constB71)))),
% 72.92/45.76 inference(rewrite,[status(thm)],[])).
% 72.92/45.76 tff(11533,plain,
% 72.92/45.76 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB71) | (~v125(constB71)))),
% 72.92/45.76 inference(quant_inst,[status(thm)],[])).
% 72.92/45.76 tff(11534,plain,
% 72.92/45.76 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB71) | (~v125(constB71))),
% 72.92/45.76 inference(modus_ponens,[status(thm)],[11533, 11532])).
% 72.92/45.76 tff(11535,plain,
% 72.92/45.76 (~v125(constB71)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11534, 2047, 11251])).
% 72.92/45.76 tff(11536,plain,
% 72.92/45.76 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB71) | (~v119(constB71)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB71) | (~v119(constB71)))),
% 72.92/45.76 inference(rewrite,[status(thm)],[])).
% 72.92/45.76 tff(11537,plain,
% 72.92/45.76 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB71) | (~v119(constB71)))),
% 72.92/45.76 inference(quant_inst,[status(thm)],[])).
% 72.92/45.76 tff(11538,plain,
% 72.92/45.76 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB71) | (~v119(constB71))),
% 72.92/45.76 inference(modus_ponens,[status(thm)],[11537, 11536])).
% 72.92/45.76 tff(11539,plain,
% 72.92/45.76 (~v119(constB71)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11538, 232, 11413])).
% 72.92/45.76 tff(11540,assumption,(~v90(constB71, bitIndex0)), introduced(assumption)).
% 72.92/45.76 tff(11541,assumption,(~v119(constB71)), introduced(assumption)).
% 72.92/45.76 tff(11542,plain,
% 72.92/45.76 (~v90(constB71, bitIndex2)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11438, 11418, 11540])).
% 72.92/45.76 tff(11543,plain,
% 72.92/45.76 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB71) | v90(constB71, bitIndex0) | v90(constB71, bitIndex1) | v90(constB71, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB71) | v90(constB71, bitIndex0) | v90(constB71, bitIndex1) | v90(constB71, bitIndex2))),
% 72.92/45.76 inference(rewrite,[status(thm)],[])).
% 72.92/45.76 tff(11544,plain,
% 72.92/45.76 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB71) | v90(constB71, bitIndex0) | v90(constB71, bitIndex1) | v90(constB71, bitIndex2))),
% 72.92/45.76 inference(quant_inst,[status(thm)],[])).
% 72.92/45.76 tff(11545,plain,
% 72.92/45.76 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB71) | v90(constB71, bitIndex0) | v90(constB71, bitIndex1) | v90(constB71, bitIndex2)),
% 72.92/45.76 inference(modus_ponens,[status(thm)],[11544, 11543])).
% 72.92/45.76 tff(11546,plain,
% 72.92/45.76 (v90(constB71, bitIndex0) | v90(constB71, bitIndex1) | v90(constB71, bitIndex2)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11545, 151, 11541])).
% 72.92/45.76 tff(11547,plain,
% 72.92/45.76 ($false),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11546, 11542, 11418, 11540])).
% 72.92/45.76 tff(11548,plain,(v90(constB71, bitIndex1) | v90(constB71, bitIndex0) | v119(constB71) | v123(constB71)), inference(lemma,lemma(discharge,[]))).
% 72.92/45.76 tff(11549,plain,
% 72.92/45.76 (v90(constB71, bitIndex1)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11548, 11540, 11541, 11434])).
% 72.92/45.76 tff(11550,plain,
% 72.92/45.76 (v90(constB71, bitIndex2)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11398, 11549, 11540])).
% 72.92/45.76 tff(11551,assumption,(~v125(constB71)), introduced(assumption)).
% 72.92/45.76 tff(11552,plain,
% 72.92/45.76 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB71, bitIndex0) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex2)) | v125(constB71))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB71, bitIndex0) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex2)) | v125(constB71))),
% 72.92/45.76 inference(rewrite,[status(thm)],[])).
% 72.92/45.76 tff(11553,plain,
% 72.92/45.76 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB71, bitIndex0) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex2)) | v125(constB71))),
% 72.92/45.76 inference(quant_inst,[status(thm)],[])).
% 72.92/45.76 tff(11554,plain,
% 72.92/45.76 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB71, bitIndex0) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex2)) | v125(constB71)),
% 72.92/45.76 inference(modus_ponens,[status(thm)],[11553, 11552])).
% 72.92/45.76 tff(11555,plain,
% 72.92/45.76 (v90(constB71, bitIndex0) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex2))),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11554, 2036, 11551])).
% 72.92/45.76 tff(11556,plain,
% 72.92/45.76 ($false),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11555, 11550, 11549, 11540])).
% 72.92/45.76 tff(11557,plain,(v90(constB71, bitIndex0) | v125(constB71) | v121(constB71) | v119(constB71) | v123(constB71)), inference(lemma,lemma(discharge,[]))).
% 72.92/45.76 tff(11558,plain,
% 72.92/45.76 (v90(constB71, bitIndex0)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11557, 11539, 11535, 11409, 11271])).
% 72.92/45.76 tff(11559,plain,
% 72.92/45.76 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB71) | (~v122(constB71)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB71) | (~v122(constB71)))),
% 72.92/45.76 inference(rewrite,[status(thm)],[])).
% 72.92/45.76 tff(11560,plain,
% 72.92/45.76 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB71) | (~v122(constB71)))),
% 72.92/45.76 inference(quant_inst,[status(thm)],[])).
% 72.92/45.76 tff(11561,plain,
% 72.92/45.76 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB71) | (~v122(constB71))),
% 72.92/45.76 inference(modus_ponens,[status(thm)],[11560, 11559])).
% 72.92/45.76 tff(11562,plain,
% 72.92/45.76 (~v122(constB71)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11561, 1214, 11263])).
% 72.92/45.76 tff(11563,plain,
% 72.92/45.76 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1)) | v90(constB71, bitIndex2) | v122(constB71))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1)) | v90(constB71, bitIndex2) | v122(constB71))),
% 72.92/45.76 inference(rewrite,[status(thm)],[])).
% 72.92/45.76 tff(11564,plain,
% 72.92/45.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1)) | v90(constB71, bitIndex2) | v122(constB71))),
% 72.92/45.76 inference(quant_inst,[status(thm)],[])).
% 72.92/45.76 tff(11565,plain,
% 72.92/45.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1)) | v90(constB71, bitIndex2) | v122(constB71)),
% 72.92/45.76 inference(modus_ponens,[status(thm)],[11564, 11563])).
% 72.92/45.76 tff(11566,plain,
% 72.92/45.76 ((~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1)) | v90(constB71, bitIndex2)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11565, 1203, 11562])).
% 72.92/45.76 tff(11567,plain,
% 72.92/45.76 (v90(constB71, bitIndex2)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11566, 11558, 11531])).
% 72.92/45.76 tff(11568,plain,
% 72.92/45.76 (v90(constB70, bitIndex2)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11327, 11567])).
% 72.92/45.76 tff(11569,plain,
% 72.92/45.76 (v90(constB70, bitIndex0)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11392, 11558])).
% 72.92/45.76 tff(11570,plain,
% 72.92/45.76 (v90(constB70, bitIndex1)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11223, 11531])).
% 72.92/45.76 tff(11571,assumption,(v100(constB70)), introduced(assumption)).
% 72.92/45.76 tff(11572,assumption,(v90(constB70, bitIndex0)), introduced(assumption)).
% 72.92/45.76 tff(11573,plain,
% 72.92/45.76 (v129(constB70, bitIndex0) | (~v100(constB70))),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11382, 938, 11572])).
% 72.92/45.76 tff(11574,plain,
% 72.92/45.76 (v129(constB70, bitIndex0)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11573, 11571])).
% 72.92/45.76 tff(11575,plain,
% 72.92/45.76 (v127(constB69, bitIndex0)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11375, 11574])).
% 72.92/45.76 tff(11576,plain,
% 72.92/45.76 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB69)) | (~v127(constB69, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB69)) | (~v127(constB69, bitIndex0)))),
% 72.92/45.76 inference(rewrite,[status(thm)],[])).
% 72.92/45.76 tff(11577,plain,
% 72.92/45.76 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB69)) | (~v127(constB69, bitIndex0)))),
% 72.92/45.76 inference(quant_inst,[status(thm)],[])).
% 72.92/45.76 tff(11578,plain,
% 72.92/45.76 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB69)) | (~v127(constB69, bitIndex0))),
% 72.92/45.76 inference(modus_ponens,[status(thm)],[11577, 11576])).
% 72.92/45.76 tff(11579,plain,
% 72.92/45.76 (~v26(constB69)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11578, 3417, 11575])).
% 72.92/45.76 tff(11580,assumption,(v90(constB70, bitIndex2)), introduced(assumption)).
% 72.92/45.76 tff(11581,plain,
% 72.92/45.76 (v129(constB70, bitIndex2) | (~v100(constB70))),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11317, 503, 11580])).
% 72.92/45.76 tff(11582,plain,
% 72.92/45.76 (v129(constB70, bitIndex2)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11581, 11571])).
% 72.92/45.76 tff(11583,plain,
% 72.92/45.76 (v127(constB69, bitIndex2)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11310, 11582])).
% 72.92/45.76 tff(11584,plain,
% 72.92/45.76 (v130(constB69, bitIndex2)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11304, 470, 11583, 11579])).
% 72.92/45.76 tff(11585,plain,
% 72.92/45.76 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB69)) | (~v130(constB69, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB69)) | (~v130(constB69, bitIndex2)))),
% 72.92/45.76 inference(rewrite,[status(thm)],[])).
% 72.92/45.76 tff(11586,plain,
% 72.92/45.76 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB69)) | (~v130(constB69, bitIndex2)))),
% 72.92/45.76 inference(quant_inst,[status(thm)],[])).
% 72.92/45.76 tff(11587,plain,
% 72.92/45.76 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB69)) | (~v130(constB69, bitIndex2))),
% 72.92/45.76 inference(modus_ponens,[status(thm)],[11586, 11585])).
% 72.92/45.76 tff(11588,plain,
% 72.92/45.76 (~v119(constB69)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11587, 456, 11584])).
% 72.92/45.76 tff(11589,plain,
% 72.92/45.76 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB69)) | (~v130(constB69, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB69)) | (~v130(constB69, bitIndex2)))),
% 72.92/45.76 inference(rewrite,[status(thm)],[])).
% 72.92/45.76 tff(11590,plain,
% 72.92/45.76 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB69)) | (~v130(constB69, bitIndex2)))),
% 72.92/45.76 inference(quant_inst,[status(thm)],[])).
% 72.92/45.76 tff(11591,plain,
% 72.92/45.76 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB69)) | (~v130(constB69, bitIndex2))),
% 72.92/45.76 inference(modus_ponens,[status(thm)],[11590, 11589])).
% 72.92/45.76 tff(11592,plain,
% 72.92/45.76 (~v121(constB69)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11591, 1059, 11584])).
% 72.92/45.76 tff(11593,plain,
% 72.92/45.76 (v130(constB69, bitIndex0)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11369, 905, 11575, 11579])).
% 72.92/45.76 tff(11594,plain,
% 72.92/45.76 (~v120(constB69)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11362, 891, 11593])).
% 72.92/45.76 tff(11595,plain,
% 72.92/45.76 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB69)) | (~v130(constB69, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB69)) | (~v130(constB69, bitIndex0)))),
% 72.92/45.76 inference(rewrite,[status(thm)],[])).
% 72.92/45.76 tff(11596,plain,
% 72.92/45.76 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB69)) | (~v130(constB69, bitIndex0)))),
% 72.92/45.76 inference(quant_inst,[status(thm)],[])).
% 72.92/45.76 tff(11597,plain,
% 72.92/45.76 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB69)) | (~v130(constB69, bitIndex0))),
% 72.92/45.76 inference(modus_ponens,[status(thm)],[11596, 11595])).
% 72.92/45.76 tff(11598,plain,
% 72.92/45.76 (~v122(constB69)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11597, 1433, 11593])).
% 72.92/45.76 tff(11599,plain,
% 72.92/45.76 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB69)) | (~v130(constB69, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB69)) | (~v130(constB69, bitIndex0)))),
% 72.92/45.76 inference(rewrite,[status(thm)],[])).
% 72.92/45.76 tff(11600,plain,
% 72.92/45.76 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB69)) | (~v130(constB69, bitIndex0)))),
% 72.92/45.76 inference(quant_inst,[status(thm)],[])).
% 72.92/45.76 tff(11601,plain,
% 72.92/45.76 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB69)) | (~v130(constB69, bitIndex0))),
% 72.92/45.76 inference(modus_ponens,[status(thm)],[11600, 11599])).
% 72.92/45.76 tff(11602,plain,
% 72.92/45.76 (~v124(constB69)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11601, 1992, 11593])).
% 72.92/45.76 tff(11603,plain,
% 72.92/45.76 (v129(constB70, bitIndex1)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11194, 11571])).
% 72.92/45.76 tff(11604,plain,
% 72.92/45.76 (v127(constB69, bitIndex1)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11199, 11603])).
% 72.92/45.76 tff(11605,plain,
% 72.92/45.76 (v130(constB69, bitIndex1)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11206, 555, 11604, 11579])).
% 72.92/45.76 tff(11606,plain,
% 72.92/45.76 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB69, bitIndex1)) | v124(constB69) | v123(constB69) | v122(constB69) | v121(constB69) | v120(constB69) | v119(constB69))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB69, bitIndex1)) | v124(constB69) | v123(constB69) | v122(constB69) | v121(constB69) | v120(constB69) | v119(constB69))),
% 72.92/45.76 inference(rewrite,[status(thm)],[])).
% 72.92/45.76 tff(11607,plain,
% 72.92/45.76 ((v120(constB69) | v119(constB69) | v121(constB69) | v122(constB69) | v123(constB69) | v124(constB69) | (~v130(constB69, bitIndex1))) <=> ((~v130(constB69, bitIndex1)) | v124(constB69) | v123(constB69) | v122(constB69) | v121(constB69) | v120(constB69) | v119(constB69))),
% 72.92/45.76 inference(rewrite,[status(thm)],[])).
% 72.92/45.76 tff(11608,plain,
% 72.92/45.76 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB69) | v119(constB69) | v121(constB69) | v122(constB69) | v123(constB69) | v124(constB69) | (~v130(constB69, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB69, bitIndex1)) | v124(constB69) | v123(constB69) | v122(constB69) | v121(constB69) | v120(constB69) | v119(constB69)))),
% 72.92/45.76 inference(monotonicity,[status(thm)],[11607])).
% 72.92/45.76 tff(11609,plain,
% 72.92/45.76 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB69) | v119(constB69) | v121(constB69) | v122(constB69) | v123(constB69) | v124(constB69) | (~v130(constB69, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB69, bitIndex1)) | v124(constB69) | v123(constB69) | v122(constB69) | v121(constB69) | v120(constB69) | v119(constB69))),
% 72.92/45.76 inference(transitivity,[status(thm)],[11608, 11606])).
% 72.92/45.76 tff(11610,plain,
% 72.92/45.76 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB69) | v119(constB69) | v121(constB69) | v122(constB69) | v123(constB69) | v124(constB69) | (~v130(constB69, bitIndex1)))),
% 72.92/45.76 inference(quant_inst,[status(thm)],[])).
% 72.92/45.76 tff(11611,plain,
% 72.92/45.76 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB69, bitIndex1)) | v124(constB69) | v123(constB69) | v122(constB69) | v121(constB69) | v120(constB69) | v119(constB69)),
% 72.92/45.76 inference(modus_ponens,[status(thm)],[11610, 11609])).
% 72.92/45.76 tff(11612,plain,
% 72.92/45.76 (v123(constB69)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11611, 2146, 11605, 11602, 11598, 11594, 11592, 11588])).
% 72.92/45.76 tff(11613,plain,
% 72.92/45.76 ($false),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11211, 1622, 11605, 11612])).
% 72.92/45.76 tff(11614,plain,((~v100(constB70)) | (~v90(constB70, bitIndex1)) | (~v90(constB70, bitIndex2)) | (~v90(constB70, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.92/45.76 tff(11615,plain,
% 72.92/45.76 (~v100(constB70)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11614, 11568, 11570, 11569])).
% 72.92/45.76 tff(11616,plain,
% 72.92/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB69, bitIndex2) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB69, bitIndex2) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex2)))),
% 72.92/45.76 inference(rewrite,[status(thm)],[])).
% 72.92/45.76 tff(11617,plain,
% 72.92/45.76 (((~nextState(constB69, constB70)) | v90(constB69, bitIndex2) | v100(constB70) | (~v90(constB70, bitIndex2))) <=> (v90(constB69, bitIndex2) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex2)))),
% 72.92/45.76 inference(rewrite,[status(thm)],[])).
% 72.92/45.76 tff(11618,plain,
% 72.92/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB69, constB70)) | v90(constB69, bitIndex2) | v100(constB70) | (~v90(constB70, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB69, bitIndex2) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex2))))),
% 72.92/45.76 inference(monotonicity,[status(thm)],[11617])).
% 72.92/45.76 tff(11619,plain,
% 72.92/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB69, constB70)) | v90(constB69, bitIndex2) | v100(constB70) | (~v90(constB70, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB69, bitIndex2) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex2)))),
% 72.92/45.76 inference(transitivity,[status(thm)],[11618, 11616])).
% 72.92/45.76 tff(11620,plain,
% 72.92/45.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB69, constB70)) | v90(constB69, bitIndex2) | v100(constB70) | (~v90(constB70, bitIndex2)))),
% 72.92/45.76 inference(quant_inst,[status(thm)],[])).
% 72.92/45.76 tff(11621,plain,
% 72.92/45.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB69, bitIndex2) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex2))),
% 72.92/45.76 inference(modus_ponens,[status(thm)],[11620, 11619])).
% 72.92/45.76 tff(11622,plain,
% 72.92/45.76 (v90(constB69, bitIndex2) | v100(constB70) | (~v90(constB70, bitIndex2))),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11621, 88, 11038])).
% 72.92/45.76 tff(11623,plain,
% 72.92/45.76 (v90(constB69, bitIndex2)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11622, 11615, 11568])).
% 72.92/45.76 tff(11624,plain,
% 72.92/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex2)))),
% 72.92/45.76 inference(rewrite,[status(thm)],[])).
% 72.92/45.76 tff(11625,plain,
% 72.92/45.76 (((~nextState(constB68, constB69)) | v90(constB68, bitIndex2) | v100(constB69) | (~v90(constB69, bitIndex2))) <=> (v90(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex2)))),
% 72.92/45.76 inference(rewrite,[status(thm)],[])).
% 72.92/45.76 tff(11626,plain,
% 72.92/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex2) | v100(constB69) | (~v90(constB69, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex2))))),
% 72.92/45.76 inference(monotonicity,[status(thm)],[11625])).
% 72.92/45.76 tff(11627,plain,
% 72.92/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex2) | v100(constB69) | (~v90(constB69, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex2)))),
% 72.92/45.76 inference(transitivity,[status(thm)],[11626, 11624])).
% 72.92/45.76 tff(11628,plain,
% 72.92/45.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB68, constB69)) | v90(constB68, bitIndex2) | v100(constB69) | (~v90(constB69, bitIndex2)))),
% 72.92/45.76 inference(quant_inst,[status(thm)],[])).
% 72.92/45.76 tff(11629,plain,
% 72.92/45.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex2))),
% 72.92/45.76 inference(modus_ponens,[status(thm)],[11628, 11627])).
% 72.92/45.76 tff(11630,plain,
% 72.92/45.76 (v90(constB68, bitIndex2) | v100(constB69) | (~v90(constB69, bitIndex2))),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11629, 88, 10906])).
% 72.92/45.76 tff(11631,plain,
% 72.92/45.76 (v90(constB68, bitIndex2) | (~v90(constB69, bitIndex2))),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11630, 10918])).
% 72.92/45.76 tff(11632,plain,
% 72.92/45.76 (v90(constB68, bitIndex2)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11631, 11623])).
% 72.92/45.76 tff(11633,plain,
% 72.92/45.76 (v90(constB69, bitIndex2)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11622, 11446, 11580])).
% 72.92/45.76 tff(11634,plain,
% 72.92/45.76 (v90(constB68, bitIndex2)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11631, 11633])).
% 72.92/45.76 tff(11635,plain,
% 72.92/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB69, bitIndex0) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB69, bitIndex0) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex0)))),
% 72.92/45.76 inference(rewrite,[status(thm)],[])).
% 72.92/45.76 tff(11636,plain,
% 72.92/45.76 (((~nextState(constB69, constB70)) | v90(constB69, bitIndex0) | v100(constB70) | (~v90(constB70, bitIndex0))) <=> (v90(constB69, bitIndex0) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex0)))),
% 72.92/45.76 inference(rewrite,[status(thm)],[])).
% 72.92/45.76 tff(11637,plain,
% 72.92/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB69, constB70)) | v90(constB69, bitIndex0) | v100(constB70) | (~v90(constB70, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB69, bitIndex0) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex0))))),
% 72.92/45.76 inference(monotonicity,[status(thm)],[11636])).
% 72.92/45.76 tff(11638,plain,
% 72.92/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB69, constB70)) | v90(constB69, bitIndex0) | v100(constB70) | (~v90(constB70, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB69, bitIndex0) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex0)))),
% 72.92/45.76 inference(transitivity,[status(thm)],[11637, 11635])).
% 72.92/45.76 tff(11639,plain,
% 72.92/45.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB69, constB70)) | v90(constB69, bitIndex0) | v100(constB70) | (~v90(constB70, bitIndex0)))),
% 72.92/45.76 inference(quant_inst,[status(thm)],[])).
% 72.92/45.76 tff(11640,plain,
% 72.92/45.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB69, bitIndex0) | (~nextState(constB69, constB70)) | v100(constB70) | (~v90(constB70, bitIndex0))),
% 72.92/45.76 inference(modus_ponens,[status(thm)],[11639, 11638])).
% 72.92/45.76 tff(11641,plain,
% 72.92/45.76 (v90(constB69, bitIndex0) | v100(constB70) | (~v90(constB70, bitIndex0))),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11640, 130, 11038])).
% 72.92/45.76 tff(11642,plain,
% 72.92/45.76 (v90(constB69, bitIndex0)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11641, 11446, 11572])).
% 72.92/45.76 tff(11643,plain,
% 72.92/45.76 (v90(constB68, bitIndex0)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11002, 11642])).
% 72.92/45.76 tff(11644,assumption,(~v127(constB67, bitIndex0)), introduced(assumption)).
% 72.92/45.76 tff(11645,plain,
% 72.92/45.76 (~v129(constB68, bitIndex0)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[10985, 11644])).
% 72.92/45.76 tff(11646,plain,
% 72.92/45.76 ((~v90(constB68, bitIndex0)) | (~v100(constB68))),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[10992, 938, 11645])).
% 72.92/45.76 tff(11647,plain,
% 72.92/45.76 (~v100(constB68)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11646, 11643])).
% 72.92/45.76 tff(11648,plain,
% 72.92/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB67, bitIndex2) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB67, bitIndex2) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex2)))),
% 72.92/45.76 inference(rewrite,[status(thm)],[])).
% 72.92/45.76 tff(11649,plain,
% 72.92/45.76 (((~nextState(constB67, constB68)) | v90(constB67, bitIndex2) | v100(constB68) | (~v90(constB68, bitIndex2))) <=> (v90(constB67, bitIndex2) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex2)))),
% 72.92/45.76 inference(rewrite,[status(thm)],[])).
% 72.92/45.76 tff(11650,plain,
% 72.92/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB67, constB68)) | v90(constB67, bitIndex2) | v100(constB68) | (~v90(constB68, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB67, bitIndex2) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex2))))),
% 72.92/45.76 inference(monotonicity,[status(thm)],[11649])).
% 72.92/45.76 tff(11651,plain,
% 72.92/45.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB67, constB68)) | v90(constB67, bitIndex2) | v100(constB68) | (~v90(constB68, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB67, bitIndex2) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex2)))),
% 72.92/45.76 inference(transitivity,[status(thm)],[11650, 11648])).
% 72.92/45.76 tff(11652,plain,
% 72.92/45.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB67, constB68)) | v90(constB67, bitIndex2) | v100(constB68) | (~v90(constB68, bitIndex2)))),
% 72.92/45.76 inference(quant_inst,[status(thm)],[])).
% 72.92/45.76 tff(11653,plain,
% 72.92/45.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB67, bitIndex2) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex2))),
% 72.92/45.76 inference(modus_ponens,[status(thm)],[11652, 11651])).
% 72.92/45.76 tff(11654,plain,
% 72.92/45.76 (v90(constB67, bitIndex2) | v100(constB68) | (~v90(constB68, bitIndex2))),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11653, 88, 10844])).
% 72.92/45.76 tff(11655,plain,
% 72.92/45.76 (v90(constB67, bitIndex2)),
% 72.92/45.76 inference(unit_resolution,[status(thm)],[11654, 11647, 11634])).
% 72.92/45.76 tff(11656,plain,
% 72.92/45.76 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB67, bitIndex2)) | (~v122(constB67)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB67, bitIndex2)) | (~v122(constB67)))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11657,plain,
% 72.92/45.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB67, bitIndex2)) | (~v122(constB67)))),
% 72.92/45.77 inference(quant_inst,[status(thm)],[])).
% 72.92/45.77 tff(11658,plain,
% 72.92/45.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB67, bitIndex2)) | (~v122(constB67))),
% 72.92/45.77 inference(modus_ponens,[status(thm)],[11657, 11656])).
% 72.92/45.77 tff(11659,plain,
% 72.92/45.77 (~v122(constB67)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11658, 1853, 11655])).
% 72.92/45.77 tff(11660,plain,
% 72.92/45.77 (v90(constB69, bitIndex1)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11186, 11446, 11179])).
% 72.92/45.77 tff(11661,plain,
% 72.92/45.77 (v90(constB68, bitIndex1)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[10968, 11660])).
% 72.92/45.77 tff(11662,plain,
% 72.92/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB67, bitIndex1) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB67, bitIndex1) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex1)))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11663,plain,
% 72.92/45.77 (((~nextState(constB67, constB68)) | v90(constB67, bitIndex1) | v100(constB68) | (~v90(constB68, bitIndex1))) <=> (v90(constB67, bitIndex1) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex1)))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11664,plain,
% 72.92/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB67, constB68)) | v90(constB67, bitIndex1) | v100(constB68) | (~v90(constB68, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB67, bitIndex1) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex1))))),
% 72.92/45.77 inference(monotonicity,[status(thm)],[11663])).
% 72.92/45.77 tff(11665,plain,
% 72.92/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB67, constB68)) | v90(constB67, bitIndex1) | v100(constB68) | (~v90(constB68, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB67, bitIndex1) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex1)))),
% 72.92/45.77 inference(transitivity,[status(thm)],[11664, 11662])).
% 72.92/45.77 tff(11666,plain,
% 72.92/45.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB67, constB68)) | v90(constB67, bitIndex1) | v100(constB68) | (~v90(constB68, bitIndex1)))),
% 72.92/45.77 inference(quant_inst,[status(thm)],[])).
% 72.92/45.77 tff(11667,plain,
% 72.92/45.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB67, bitIndex1) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex1))),
% 72.92/45.77 inference(modus_ponens,[status(thm)],[11666, 11665])).
% 72.92/45.77 tff(11668,plain,
% 72.92/45.77 (v90(constB67, bitIndex1) | v100(constB68) | (~v90(constB68, bitIndex1))),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11667, 109, 10844])).
% 72.92/45.77 tff(11669,plain,
% 72.92/45.77 (v90(constB67, bitIndex1)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11668, 11647, 11661])).
% 72.92/45.77 tff(11670,plain,
% 72.92/45.77 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB67, bitIndex1)) | (~v120(constB67)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB67, bitIndex1)) | (~v120(constB67)))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11671,plain,
% 72.92/45.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB67, bitIndex1)) | (~v120(constB67)))),
% 72.92/45.77 inference(quant_inst,[status(thm)],[])).
% 72.92/45.77 tff(11672,plain,
% 72.92/45.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB67, bitIndex1)) | (~v120(constB67))),
% 72.92/45.77 inference(modus_ponens,[status(thm)],[11671, 11670])).
% 72.92/45.77 tff(11673,plain,
% 72.92/45.77 (~v120(constB67)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11672, 1919, 11669])).
% 72.92/45.77 tff(11674,plain,
% 72.92/45.77 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB67, bitIndex1)) | (~v124(constB67)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB67, bitIndex1)) | (~v124(constB67)))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11675,plain,
% 72.92/45.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB67, bitIndex1)) | (~v124(constB67)))),
% 72.92/45.77 inference(quant_inst,[status(thm)],[])).
% 72.92/45.77 tff(11676,plain,
% 72.92/45.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB67, bitIndex1)) | (~v124(constB67))),
% 72.92/45.77 inference(modus_ponens,[status(thm)],[11675, 11674])).
% 72.92/45.77 tff(11677,plain,
% 72.92/45.77 (~v124(constB67)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11676, 1941, 11669])).
% 72.92/45.77 tff(11678,plain,
% 72.92/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB67, bitIndex0) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB67, bitIndex0) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex0)))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11679,plain,
% 72.92/45.77 (((~nextState(constB67, constB68)) | v90(constB67, bitIndex0) | v100(constB68) | (~v90(constB68, bitIndex0))) <=> (v90(constB67, bitIndex0) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex0)))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11680,plain,
% 72.92/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v90(constB67, bitIndex0) | v100(constB68) | (~v90(constB68, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB67, bitIndex0) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex0))))),
% 72.92/45.77 inference(monotonicity,[status(thm)],[11679])).
% 72.92/45.77 tff(11681,plain,
% 72.92/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v90(constB67, bitIndex0) | v100(constB68) | (~v90(constB68, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB67, bitIndex0) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex0)))),
% 72.92/45.77 inference(transitivity,[status(thm)],[11680, 11678])).
% 72.92/45.77 tff(11682,plain,
% 72.92/45.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v90(constB67, bitIndex0) | v100(constB68) | (~v90(constB68, bitIndex0)))),
% 72.92/45.77 inference(quant_inst,[status(thm)],[])).
% 72.92/45.77 tff(11683,plain,
% 72.92/45.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB67, bitIndex0) | (~nextState(constB67, constB68)) | v100(constB68) | (~v90(constB68, bitIndex0))),
% 72.92/45.77 inference(modus_ponens,[status(thm)],[11682, 11681])).
% 72.92/45.77 tff(11684,plain,
% 72.92/45.77 (v90(constB67, bitIndex0) | v100(constB68) | (~v90(constB68, bitIndex0))),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11683, 130, 10844])).
% 72.92/45.77 tff(11685,plain,
% 72.92/45.77 (v90(constB67, bitIndex0)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11684, 11647, 11643])).
% 72.92/45.77 tff(11686,plain,
% 72.92/45.77 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB67, bitIndex0)) | (~v119(constB67)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB67, bitIndex0)) | (~v119(constB67)))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11687,plain,
% 72.92/45.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB67, bitIndex0)) | (~v119(constB67)))),
% 72.92/45.77 inference(quant_inst,[status(thm)],[])).
% 72.92/45.77 tff(11688,plain,
% 72.92/45.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB67, bitIndex0)) | (~v119(constB67))),
% 72.92/45.77 inference(modus_ponens,[status(thm)],[11687, 11686])).
% 72.92/45.77 tff(11689,plain,
% 72.92/45.77 (~v119(constB67)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11688, 3890, 11685])).
% 72.92/45.77 tff(11690,plain,
% 72.92/45.77 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB67, bitIndex0)) | (~v121(constB67)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB67, bitIndex0)) | (~v121(constB67)))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11691,plain,
% 72.92/45.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB67, bitIndex0)) | (~v121(constB67)))),
% 72.92/45.77 inference(quant_inst,[status(thm)],[])).
% 72.92/45.77 tff(11692,plain,
% 72.92/45.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB67, bitIndex0)) | (~v121(constB67))),
% 72.92/45.77 inference(modus_ponens,[status(thm)],[11691, 11690])).
% 72.92/45.77 tff(11693,plain,
% 72.92/45.77 (~v121(constB67)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11692, 3803, 11685])).
% 72.92/45.77 tff(11694,plain,
% 72.92/45.77 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB67, bitIndex0)) | (~v123(constB67)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB67, bitIndex0)) | (~v123(constB67)))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11695,plain,
% 72.92/45.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB67, bitIndex0)) | (~v123(constB67)))),
% 72.92/45.77 inference(quant_inst,[status(thm)],[])).
% 72.92/45.77 tff(11696,plain,
% 72.92/45.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB67, bitIndex0)) | (~v123(constB67))),
% 72.92/45.77 inference(modus_ponens,[status(thm)],[11695, 11694])).
% 72.92/45.77 tff(11697,plain,
% 72.92/45.77 (~v123(constB67)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11696, 3905, 11685])).
% 72.92/45.77 tff(11698,plain,
% 72.92/45.77 (~v110(constB68)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[10877, 11647])).
% 72.92/45.77 tff(11699,plain,
% 72.92/45.77 (~v108(constB67)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[10851, 11698])).
% 72.92/45.77 tff(11700,plain,
% 72.92/45.77 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB67) | (~v26(constB67)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB67) | (~v26(constB67)))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11701,plain,
% 72.92/45.77 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB67) | (~v26(constB67)))),
% 72.92/45.77 inference(quant_inst,[status(thm)],[])).
% 72.92/45.77 tff(11702,plain,
% 72.92/45.77 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB67) | (~v26(constB67))),
% 72.92/45.77 inference(modus_ponens,[status(thm)],[11701, 11700])).
% 72.92/45.77 tff(11703,plain,
% 72.92/45.77 (~v26(constB67)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11702, 221, 11699])).
% 72.92/45.77 tff(11704,plain,
% 72.92/45.77 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB67) | (~v130(constB67, bitIndex0)) | v127(constB67, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB67) | (~v130(constB67, bitIndex0)) | v127(constB67, bitIndex0))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11705,plain,
% 72.92/45.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB67) | (~v130(constB67, bitIndex0)) | v127(constB67, bitIndex0))),
% 72.92/45.77 inference(quant_inst,[status(thm)],[])).
% 72.92/45.77 tff(11706,plain,
% 72.92/45.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB67) | (~v130(constB67, bitIndex0)) | v127(constB67, bitIndex0)),
% 72.92/45.77 inference(modus_ponens,[status(thm)],[11705, 11704])).
% 72.92/45.77 tff(11707,plain,
% 72.92/45.77 (v26(constB67) | (~v130(constB67, bitIndex0))),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11706, 179, 11644])).
% 72.92/45.77 tff(11708,plain,
% 72.92/45.77 (~v130(constB67, bitIndex0)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11707, 11703])).
% 72.92/45.77 tff(11709,plain,
% 72.92/45.77 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB67, bitIndex0) | v123(constB67) | v121(constB67) | v119(constB67) | v124(constB67) | v120(constB67) | v122(constB67))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB67, bitIndex0) | v123(constB67) | v121(constB67) | v119(constB67) | v124(constB67) | v120(constB67) | v122(constB67))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11710,plain,
% 72.92/45.77 ((v120(constB67) | v119(constB67) | v121(constB67) | v122(constB67) | v123(constB67) | v124(constB67) | v130(constB67, bitIndex0)) <=> (v130(constB67, bitIndex0) | v123(constB67) | v121(constB67) | v119(constB67) | v124(constB67) | v120(constB67) | v122(constB67))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11711,plain,
% 72.92/45.77 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB67) | v119(constB67) | v121(constB67) | v122(constB67) | v123(constB67) | v124(constB67) | v130(constB67, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB67, bitIndex0) | v123(constB67) | v121(constB67) | v119(constB67) | v124(constB67) | v120(constB67) | v122(constB67)))),
% 72.92/45.77 inference(monotonicity,[status(thm)],[11710])).
% 72.92/45.77 tff(11712,plain,
% 72.92/45.77 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB67) | v119(constB67) | v121(constB67) | v122(constB67) | v123(constB67) | v124(constB67) | v130(constB67, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB67, bitIndex0) | v123(constB67) | v121(constB67) | v119(constB67) | v124(constB67) | v120(constB67) | v122(constB67))),
% 72.92/45.77 inference(transitivity,[status(thm)],[11711, 11709])).
% 72.92/45.77 tff(11713,plain,
% 72.92/45.77 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB67) | v119(constB67) | v121(constB67) | v122(constB67) | v123(constB67) | v124(constB67) | v130(constB67, bitIndex0))),
% 72.92/45.77 inference(quant_inst,[status(thm)],[])).
% 72.92/45.77 tff(11714,plain,
% 72.92/45.77 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB67, bitIndex0) | v123(constB67) | v121(constB67) | v119(constB67) | v124(constB67) | v120(constB67) | v122(constB67)),
% 72.92/45.77 inference(modus_ponens,[status(thm)],[11713, 11712])).
% 72.92/45.77 tff(11715,plain,
% 72.92/45.77 ($false),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11714, 2192, 11708, 11697, 11693, 11689, 11677, 11673, 11659])).
% 72.92/45.77 tff(11716,plain,(v100(constB70) | v127(constB67, bitIndex0) | (~v90(constB70, bitIndex2)) | (~v90(constB70, bitIndex1)) | (~v90(constB70, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 72.92/45.77 tff(11717,plain,
% 72.92/45.77 (v127(constB67, bitIndex0)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11716, 11568, 11570, 11569, 11615])).
% 72.92/45.77 tff(11718,plain,
% 72.92/45.77 (v130(constB67, bitIndex0)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[10980, 11717])).
% 72.92/45.77 tff(11719,plain,
% 72.92/45.77 (~v122(constB67)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[10972, 1433, 11718])).
% 72.92/45.77 tff(11720,plain,
% 72.92/45.77 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB67)) | (~v130(constB67, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB67)) | (~v130(constB67, bitIndex0)))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11721,plain,
% 72.92/45.77 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB67)) | (~v130(constB67, bitIndex0)))),
% 72.92/45.77 inference(quant_inst,[status(thm)],[])).
% 72.92/45.77 tff(11722,plain,
% 72.92/45.77 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB67)) | (~v130(constB67, bitIndex0))),
% 72.92/45.77 inference(modus_ponens,[status(thm)],[11721, 11720])).
% 72.92/45.77 tff(11723,plain,
% 72.92/45.77 (~v124(constB67)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11722, 1992, 11718])).
% 72.92/45.77 tff(11724,plain,
% 72.92/45.77 (v90(constB69, bitIndex1)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11186, 11615, 11570])).
% 72.92/45.77 tff(11725,plain,
% 72.92/45.77 (v90(constB68, bitIndex1)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[10968, 11724])).
% 72.92/45.77 tff(11726,plain,
% 72.92/45.77 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB67)) | (~v130(constB67, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB67)) | (~v130(constB67, bitIndex0)))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11727,plain,
% 72.92/45.77 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB67)) | (~v130(constB67, bitIndex0)))),
% 72.92/45.77 inference(quant_inst,[status(thm)],[])).
% 72.92/45.77 tff(11728,plain,
% 72.92/45.77 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB67)) | (~v130(constB67, bitIndex0))),
% 72.92/45.77 inference(modus_ponens,[status(thm)],[11727, 11726])).
% 72.92/45.77 tff(11729,plain,
% 72.92/45.77 (~v120(constB67)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11728, 891, 11718])).
% 72.92/45.77 tff(11730,assumption,(v100(constB68)), introduced(assumption)).
% 72.92/45.77 tff(11731,assumption,(v90(constB68, bitIndex1)), introduced(assumption)).
% 72.92/45.77 tff(11732,plain,
% 72.92/45.77 (v129(constB68, bitIndex1) | (~v100(constB68))),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[10958, 603, 11731])).
% 72.92/45.77 tff(11733,plain,
% 72.92/45.77 (v129(constB68, bitIndex1)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11732, 11730])).
% 72.92/45.77 tff(11734,plain,
% 72.92/45.77 (v127(constB67, bitIndex1)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[10951, 11733])).
% 72.92/45.77 tff(11735,plain,
% 72.92/45.77 ((~v127(constB67, bitIndex1)) | v130(constB67, bitIndex1)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[10939, 555, 11153])).
% 72.92/45.77 tff(11736,plain,
% 72.92/45.77 (v130(constB67, bitIndex1)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11735, 11734])).
% 72.92/45.77 tff(11737,plain,
% 72.92/45.77 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB67)) | (~v130(constB67, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB67)) | (~v130(constB67, bitIndex1)))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11738,plain,
% 72.92/45.77 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB67)) | (~v130(constB67, bitIndex1)))),
% 72.92/45.77 inference(quant_inst,[status(thm)],[])).
% 72.92/45.77 tff(11739,plain,
% 72.92/45.77 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB67)) | (~v130(constB67, bitIndex1))),
% 72.92/45.77 inference(modus_ponens,[status(thm)],[11738, 11737])).
% 72.92/45.77 tff(11740,plain,
% 72.92/45.77 (~v119(constB67)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11739, 541, 11736])).
% 72.92/45.77 tff(11741,plain,
% 72.92/45.77 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB67)) | (~v130(constB67, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB67)) | (~v130(constB67, bitIndex1)))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11742,plain,
% 72.92/45.77 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB67)) | (~v130(constB67, bitIndex1)))),
% 72.92/45.77 inference(quant_inst,[status(thm)],[])).
% 72.92/45.77 tff(11743,plain,
% 72.92/45.77 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB67)) | (~v130(constB67, bitIndex1))),
% 72.92/45.77 inference(modus_ponens,[status(thm)],[11742, 11741])).
% 72.92/45.77 tff(11744,plain,
% 72.92/45.77 (~v123(constB67)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11743, 1622, 11736])).
% 72.92/45.77 tff(11745,assumption,(v90(constB68, bitIndex2)), introduced(assumption)).
% 72.92/45.77 tff(11746,plain,
% 72.92/45.77 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB68, bitIndex2)) | v129(constB68, bitIndex2) | (~v100(constB68)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB68, bitIndex2)) | v129(constB68, bitIndex2) | (~v100(constB68)))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11747,plain,
% 72.92/45.77 (((~v90(constB68, bitIndex2)) | (~v100(constB68)) | v129(constB68, bitIndex2)) <=> ((~v90(constB68, bitIndex2)) | v129(constB68, bitIndex2) | (~v100(constB68)))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11748,plain,
% 72.92/45.77 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB68, bitIndex2)) | (~v100(constB68)) | v129(constB68, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB68, bitIndex2)) | v129(constB68, bitIndex2) | (~v100(constB68))))),
% 72.92/45.77 inference(monotonicity,[status(thm)],[11747])).
% 72.92/45.77 tff(11749,plain,
% 72.92/45.77 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB68, bitIndex2)) | (~v100(constB68)) | v129(constB68, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB68, bitIndex2)) | v129(constB68, bitIndex2) | (~v100(constB68)))),
% 72.92/45.77 inference(transitivity,[status(thm)],[11748, 11746])).
% 72.92/45.77 tff(11750,plain,
% 72.92/45.77 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB68, bitIndex2)) | (~v100(constB68)) | v129(constB68, bitIndex2))),
% 72.92/45.77 inference(quant_inst,[status(thm)],[])).
% 72.92/45.77 tff(11751,plain,
% 72.92/45.77 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB68, bitIndex2)) | v129(constB68, bitIndex2) | (~v100(constB68))),
% 72.92/45.77 inference(modus_ponens,[status(thm)],[11750, 11749])).
% 72.92/45.77 tff(11752,plain,
% 72.92/45.77 (v129(constB68, bitIndex2) | (~v100(constB68))),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11751, 503, 11745])).
% 72.92/45.77 tff(11753,plain,
% 72.92/45.77 (v129(constB68, bitIndex2)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11752, 11730])).
% 72.92/45.77 tff(11754,plain,
% 72.92/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex2) | (~v129(constB68, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex2) | (~v129(constB68, bitIndex2)))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11755,plain,
% 72.92/45.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex2) | (~v129(constB68, bitIndex2)))),
% 72.92/45.77 inference(quant_inst,[status(thm)],[])).
% 72.92/45.77 tff(11756,plain,
% 72.92/45.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex2) | (~v129(constB68, bitIndex2))),
% 72.92/45.77 inference(modus_ponens,[status(thm)],[11755, 11754])).
% 72.92/45.77 tff(11757,plain,
% 72.92/45.77 (v127(constB67, bitIndex2) | (~v129(constB68, bitIndex2))),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11756, 488, 10844])).
% 72.92/45.77 tff(11758,plain,
% 72.92/45.77 (v127(constB67, bitIndex2)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11757, 11753])).
% 72.92/45.77 tff(11759,plain,
% 72.92/45.77 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB67, bitIndex2)) | v26(constB67) | v130(constB67, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB67, bitIndex2)) | v26(constB67) | v130(constB67, bitIndex2))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11760,plain,
% 72.92/45.77 ((v26(constB67) | v130(constB67, bitIndex2) | (~v127(constB67, bitIndex2))) <=> ((~v127(constB67, bitIndex2)) | v26(constB67) | v130(constB67, bitIndex2))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11761,plain,
% 72.92/45.77 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB67) | v130(constB67, bitIndex2) | (~v127(constB67, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB67, bitIndex2)) | v26(constB67) | v130(constB67, bitIndex2)))),
% 72.92/45.77 inference(monotonicity,[status(thm)],[11760])).
% 72.92/45.77 tff(11762,plain,
% 72.92/45.77 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB67) | v130(constB67, bitIndex2) | (~v127(constB67, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB67, bitIndex2)) | v26(constB67) | v130(constB67, bitIndex2))),
% 72.92/45.77 inference(transitivity,[status(thm)],[11761, 11759])).
% 72.92/45.77 tff(11763,plain,
% 72.92/45.77 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB67) | v130(constB67, bitIndex2) | (~v127(constB67, bitIndex2)))),
% 72.92/45.77 inference(quant_inst,[status(thm)],[])).
% 72.92/45.77 tff(11764,plain,
% 72.92/45.77 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB67, bitIndex2)) | v26(constB67) | v130(constB67, bitIndex2)),
% 72.92/45.77 inference(modus_ponens,[status(thm)],[11763, 11762])).
% 72.92/45.77 tff(11765,plain,
% 72.92/45.77 ((~v127(constB67, bitIndex2)) | v130(constB67, bitIndex2)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11764, 470, 11153])).
% 72.92/45.77 tff(11766,plain,
% 72.92/45.77 (v130(constB67, bitIndex2)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11765, 11758])).
% 72.92/45.77 tff(11767,plain,
% 72.92/45.77 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB67)) | (~v130(constB67, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB67)) | (~v130(constB67, bitIndex2)))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11768,plain,
% 72.92/45.77 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB67)) | (~v130(constB67, bitIndex2)))),
% 72.92/45.77 inference(quant_inst,[status(thm)],[])).
% 72.92/45.77 tff(11769,plain,
% 72.92/45.77 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB67)) | (~v130(constB67, bitIndex2))),
% 72.92/45.77 inference(modus_ponens,[status(thm)],[11768, 11767])).
% 72.92/45.77 tff(11770,plain,
% 72.92/45.77 (~v121(constB67)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11769, 1059, 11766])).
% 72.92/45.77 tff(11771,assumption,(~v120(constB67)), introduced(assumption)).
% 72.92/45.77 tff(11772,assumption,(~v122(constB67)), introduced(assumption)).
% 72.92/45.77 tff(11773,assumption,(~v124(constB67)), introduced(assumption)).
% 72.92/45.77 tff(11774,plain,
% 72.92/45.77 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB67) | v121(constB67) | v119(constB67) | v124(constB67) | v120(constB67) | v122(constB67) | (~v130(constB67, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB67) | v121(constB67) | v119(constB67) | v124(constB67) | v120(constB67) | v122(constB67) | (~v130(constB67, bitIndex1)))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11775,plain,
% 72.92/45.77 ((v120(constB67) | v119(constB67) | v121(constB67) | v122(constB67) | v123(constB67) | v124(constB67) | (~v130(constB67, bitIndex1))) <=> (v123(constB67) | v121(constB67) | v119(constB67) | v124(constB67) | v120(constB67) | v122(constB67) | (~v130(constB67, bitIndex1)))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11776,plain,
% 72.92/45.77 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB67) | v119(constB67) | v121(constB67) | v122(constB67) | v123(constB67) | v124(constB67) | (~v130(constB67, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB67) | v121(constB67) | v119(constB67) | v124(constB67) | v120(constB67) | v122(constB67) | (~v130(constB67, bitIndex1))))),
% 72.92/45.77 inference(monotonicity,[status(thm)],[11775])).
% 72.92/45.77 tff(11777,plain,
% 72.92/45.77 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB67) | v119(constB67) | v121(constB67) | v122(constB67) | v123(constB67) | v124(constB67) | (~v130(constB67, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB67) | v121(constB67) | v119(constB67) | v124(constB67) | v120(constB67) | v122(constB67) | (~v130(constB67, bitIndex1)))),
% 72.92/45.77 inference(transitivity,[status(thm)],[11776, 11774])).
% 72.92/45.77 tff(11778,plain,
% 72.92/45.77 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB67) | v119(constB67) | v121(constB67) | v122(constB67) | v123(constB67) | v124(constB67) | (~v130(constB67, bitIndex1)))),
% 72.92/45.77 inference(quant_inst,[status(thm)],[])).
% 72.92/45.77 tff(11779,plain,
% 72.92/45.77 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB67) | v121(constB67) | v119(constB67) | v124(constB67) | v120(constB67) | v122(constB67) | (~v130(constB67, bitIndex1))),
% 72.92/45.77 inference(modus_ponens,[status(thm)],[11778, 11777])).
% 72.92/45.77 tff(11780,plain,
% 72.92/45.77 (v123(constB67) | v121(constB67) | v119(constB67) | (~v130(constB67, bitIndex1))),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11779, 2146, 11773, 11772, 11771])).
% 72.92/45.77 tff(11781,plain,
% 72.92/45.77 ($false),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11780, 11770, 11744, 11736, 11740])).
% 72.92/45.77 tff(11782,plain,((~v100(constB68)) | v124(constB67) | v122(constB67) | v120(constB67) | v26(constB67) | (~v90(constB68, bitIndex2)) | (~v90(constB68, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 72.92/45.77 tff(11783,plain,
% 72.92/45.77 ((~v100(constB68)) | v124(constB67) | v122(constB67) | v120(constB67) | (~v90(constB68, bitIndex2)) | (~v90(constB68, bitIndex1))),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11782, 10829])).
% 72.92/45.77 tff(11784,plain,
% 72.92/45.77 (~v100(constB68)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11783, 11729, 11725, 11723, 11719, 11632])).
% 72.92/45.77 tff(11785,plain,
% 72.92/45.77 (v90(constB67, bitIndex2)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11654, 11784, 11632])).
% 72.92/45.77 tff(11786,plain,
% 72.92/45.77 (v90(constB66, bitIndex2)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[10742, 11785])).
% 72.92/45.77 tff(11787,plain,
% 72.92/45.77 (v90(constB69, bitIndex0)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11641, 11615, 11569])).
% 72.92/45.77 tff(11788,plain,
% 72.92/45.77 (v90(constB68, bitIndex0)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11002, 11787])).
% 72.92/45.77 tff(11789,plain,
% 72.92/45.77 (v90(constB67, bitIndex0)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11684, 11784, 11788])).
% 72.92/45.77 tff(11790,plain,
% 72.92/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex0)))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11791,plain,
% 72.92/45.77 (((~nextState(constB66, constB67)) | v90(constB66, bitIndex0) | v100(constB67) | (~v90(constB67, bitIndex0))) <=> (v90(constB66, bitIndex0) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex0)))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11792,plain,
% 72.92/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex0) | v100(constB67) | (~v90(constB67, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex0))))),
% 72.92/45.77 inference(monotonicity,[status(thm)],[11791])).
% 72.92/45.77 tff(11793,plain,
% 72.92/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex0) | v100(constB67) | (~v90(constB67, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex0)))),
% 72.92/45.77 inference(transitivity,[status(thm)],[11792, 11790])).
% 72.92/45.77 tff(11794,plain,
% 72.92/45.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex0) | v100(constB67) | (~v90(constB67, bitIndex0)))),
% 72.92/45.77 inference(quant_inst,[status(thm)],[])).
% 72.92/45.77 tff(11795,plain,
% 72.92/45.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex0))),
% 72.92/45.77 inference(modus_ponens,[status(thm)],[11794, 11793])).
% 72.92/45.77 tff(11796,plain,
% 72.92/45.77 (v90(constB66, bitIndex0) | v100(constB67) | (~v90(constB67, bitIndex0))),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11795, 130, 10722])).
% 72.92/45.77 tff(11797,plain,
% 72.92/45.77 (v90(constB66, bitIndex0) | (~v90(constB67, bitIndex0))),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11796, 10734])).
% 72.92/45.77 tff(11798,plain,
% 72.92/45.77 (v90(constB66, bitIndex0)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11797, 11789])).
% 72.92/45.77 tff(11799,plain,
% 72.92/45.77 (v90(constB67, bitIndex1)),
% 72.92/45.77 inference(unit_resolution,[status(thm)],[11668, 11784, 11725])).
% 72.92/45.77 tff(11800,plain,
% 72.92/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex1)))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11801,plain,
% 72.92/45.77 (((~nextState(constB66, constB67)) | v90(constB66, bitIndex1) | v100(constB67) | (~v90(constB67, bitIndex1))) <=> (v90(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex1)))),
% 72.92/45.77 inference(rewrite,[status(thm)],[])).
% 72.92/45.77 tff(11802,plain,
% 72.92/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex1) | v100(constB67) | (~v90(constB67, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex1))))),
% 72.92/45.77 inference(monotonicity,[status(thm)],[11801])).
% 72.92/45.77 tff(11803,plain,
% 72.92/45.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex1) | v100(constB67) | (~v90(constB67, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex1)))),
% 72.92/45.78 inference(transitivity,[status(thm)],[11802, 11800])).
% 72.92/45.78 tff(11804,plain,
% 72.92/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB66, constB67)) | v90(constB66, bitIndex1) | v100(constB67) | (~v90(constB67, bitIndex1)))),
% 72.92/45.78 inference(quant_inst,[status(thm)],[])).
% 72.92/45.78 tff(11805,plain,
% 72.92/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex1))),
% 72.92/45.78 inference(modus_ponens,[status(thm)],[11804, 11803])).
% 72.92/45.78 tff(11806,plain,
% 72.92/45.78 (v90(constB66, bitIndex1) | v100(constB67) | (~v90(constB67, bitIndex1))),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11805, 109, 10722])).
% 72.92/45.78 tff(11807,plain,
% 72.92/45.78 (v90(constB66, bitIndex1) | (~v90(constB67, bitIndex1))),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11806, 10734])).
% 72.92/45.78 tff(11808,plain,
% 72.92/45.78 (v90(constB66, bitIndex1)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11807, 11799])).
% 72.92/45.78 tff(11809,assumption,(v100(constB66)), introduced(assumption)).
% 72.92/45.78 tff(11810,assumption,(v90(constB66, bitIndex0)), introduced(assumption)).
% 72.92/45.78 tff(11811,plain,
% 72.92/45.78 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | v129(constB66, bitIndex0) | (~v100(constB66)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | v129(constB66, bitIndex0) | (~v100(constB66)))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11812,plain,
% 72.92/45.78 (((~v90(constB66, bitIndex0)) | (~v100(constB66)) | v129(constB66, bitIndex0)) <=> ((~v90(constB66, bitIndex0)) | v129(constB66, bitIndex0) | (~v100(constB66)))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11813,plain,
% 72.92/45.78 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | (~v100(constB66)) | v129(constB66, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | v129(constB66, bitIndex0) | (~v100(constB66))))),
% 72.92/45.78 inference(monotonicity,[status(thm)],[11812])).
% 72.92/45.78 tff(11814,plain,
% 72.92/45.78 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | (~v100(constB66)) | v129(constB66, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | v129(constB66, bitIndex0) | (~v100(constB66)))),
% 72.92/45.78 inference(transitivity,[status(thm)],[11813, 11811])).
% 72.92/45.78 tff(11815,plain,
% 72.92/45.78 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB66, bitIndex0)) | (~v100(constB66)) | v129(constB66, bitIndex0))),
% 72.92/45.78 inference(quant_inst,[status(thm)],[])).
% 72.92/45.78 tff(11816,plain,
% 72.92/45.78 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB66, bitIndex0)) | v129(constB66, bitIndex0) | (~v100(constB66))),
% 72.92/45.78 inference(modus_ponens,[status(thm)],[11815, 11814])).
% 72.92/45.78 tff(11817,plain,
% 72.92/45.78 (v129(constB66, bitIndex0) | (~v100(constB66))),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11816, 938, 11810])).
% 72.92/45.78 tff(11818,plain,
% 72.92/45.78 (v129(constB66, bitIndex0)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11817, 11809])).
% 72.92/45.78 tff(11819,plain,
% 72.92/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex0) | (~v129(constB66, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex0) | (~v129(constB66, bitIndex0)))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11820,plain,
% 72.92/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex0) | (~v129(constB66, bitIndex0)))),
% 72.92/45.78 inference(quant_inst,[status(thm)],[])).
% 72.92/45.78 tff(11821,plain,
% 72.92/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex0) | (~v129(constB66, bitIndex0))),
% 72.92/45.78 inference(modus_ponens,[status(thm)],[11820, 11819])).
% 72.92/45.78 tff(11822,plain,
% 72.92/45.78 (v127(constB65, bitIndex0) | (~v129(constB66, bitIndex0))),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11821, 923, 10657])).
% 72.92/45.78 tff(11823,plain,
% 72.92/45.78 (v127(constB65, bitIndex0)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11822, 11818])).
% 72.92/45.78 tff(11824,plain,
% 72.92/45.78 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB65, bitIndex0)) | v26(constB65) | v130(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB65, bitIndex0)) | v26(constB65) | v130(constB65, bitIndex0))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11825,plain,
% 72.92/45.78 ((v26(constB65) | v130(constB65, bitIndex0) | (~v127(constB65, bitIndex0))) <=> ((~v127(constB65, bitIndex0)) | v26(constB65) | v130(constB65, bitIndex0))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11826,plain,
% 72.92/45.78 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB65) | v130(constB65, bitIndex0) | (~v127(constB65, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB65, bitIndex0)) | v26(constB65) | v130(constB65, bitIndex0)))),
% 72.92/45.78 inference(monotonicity,[status(thm)],[11825])).
% 72.92/45.78 tff(11827,plain,
% 72.92/45.78 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB65) | v130(constB65, bitIndex0) | (~v127(constB65, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB65, bitIndex0)) | v26(constB65) | v130(constB65, bitIndex0))),
% 72.92/45.78 inference(transitivity,[status(thm)],[11826, 11824])).
% 72.92/45.78 tff(11828,plain,
% 72.92/45.78 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB65) | v130(constB65, bitIndex0) | (~v127(constB65, bitIndex0)))),
% 72.92/45.78 inference(quant_inst,[status(thm)],[])).
% 72.92/45.78 tff(11829,plain,
% 72.92/45.78 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB65, bitIndex0)) | v26(constB65) | v130(constB65, bitIndex0)),
% 72.92/45.78 inference(modus_ponens,[status(thm)],[11828, 11827])).
% 72.92/45.78 tff(11830,plain,
% 72.92/45.78 ((~v127(constB65, bitIndex0)) | v130(constB65, bitIndex0)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11829, 905, 10642])).
% 72.92/45.78 tff(11831,plain,
% 72.92/45.78 (v130(constB65, bitIndex0)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11830, 11823])).
% 72.92/45.78 tff(11832,plain,
% 72.92/45.78 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB65)) | (~v130(constB65, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB65)) | (~v130(constB65, bitIndex0)))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11833,plain,
% 72.92/45.78 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB65)) | (~v130(constB65, bitIndex0)))),
% 72.92/45.78 inference(quant_inst,[status(thm)],[])).
% 72.92/45.78 tff(11834,plain,
% 72.92/45.78 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB65)) | (~v130(constB65, bitIndex0))),
% 72.92/45.78 inference(modus_ponens,[status(thm)],[11833, 11832])).
% 72.92/45.78 tff(11835,plain,
% 72.92/45.78 (~v122(constB65)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11834, 1433, 11831])).
% 72.92/45.78 tff(11836,assumption,(v90(constB66, bitIndex2)), introduced(assumption)).
% 72.92/45.78 tff(11837,plain,
% 72.92/45.78 (v129(constB66, bitIndex2) | (~v100(constB66))),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[10714, 503, 11836])).
% 72.92/45.78 tff(11838,plain,
% 72.92/45.78 (v129(constB66, bitIndex2)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11837, 11809])).
% 72.92/45.78 tff(11839,plain,
% 72.92/45.78 (v127(constB65, bitIndex2)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[10707, 11838])).
% 72.92/45.78 tff(11840,plain,
% 72.92/45.78 (v130(constB65, bitIndex2)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[10702, 11839])).
% 72.92/45.78 tff(11841,plain,
% 72.92/45.78 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB65)) | (~v130(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB65)) | (~v130(constB65, bitIndex2)))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11842,plain,
% 72.92/45.78 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB65)) | (~v130(constB65, bitIndex2)))),
% 72.92/45.78 inference(quant_inst,[status(thm)],[])).
% 72.92/45.78 tff(11843,plain,
% 72.92/45.78 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB65)) | (~v130(constB65, bitIndex2))),
% 72.92/45.78 inference(modus_ponens,[status(thm)],[11842, 11841])).
% 72.92/45.78 tff(11844,plain,
% 72.92/45.78 (~v120(constB65)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11843, 730, 11840])).
% 72.92/45.78 tff(11845,plain,
% 72.92/45.78 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB65)) | (~v130(constB65, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB65)) | (~v130(constB65, bitIndex0)))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11846,plain,
% 72.92/45.78 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB65)) | (~v130(constB65, bitIndex0)))),
% 72.92/45.78 inference(quant_inst,[status(thm)],[])).
% 72.92/45.78 tff(11847,plain,
% 72.92/45.78 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB65)) | (~v130(constB65, bitIndex0))),
% 72.92/45.78 inference(modus_ponens,[status(thm)],[11846, 11845])).
% 72.92/45.78 tff(11848,plain,
% 72.92/45.78 (~v124(constB65)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11847, 1992, 11831])).
% 72.92/45.78 tff(11849,plain,
% 72.92/45.78 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB65)) | (~v130(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB65)) | (~v130(constB65, bitIndex2)))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11850,plain,
% 72.92/45.78 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB65)) | (~v130(constB65, bitIndex2)))),
% 72.92/45.78 inference(quant_inst,[status(thm)],[])).
% 72.92/45.78 tff(11851,plain,
% 72.92/45.78 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB65)) | (~v130(constB65, bitIndex2))),
% 72.92/45.78 inference(modus_ponens,[status(thm)],[11850, 11849])).
% 72.92/45.78 tff(11852,plain,
% 72.92/45.78 (~v119(constB65)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11851, 456, 11840])).
% 72.92/45.78 tff(11853,plain,
% 72.92/45.78 (~v121(constB65)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[10694, 1059, 11840])).
% 72.92/45.78 tff(11854,assumption,(v90(constB66, bitIndex1)), introduced(assumption)).
% 72.92/45.78 tff(11855,plain,
% 72.92/45.78 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66)))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11856,plain,
% 72.92/45.78 (((~v90(constB66, bitIndex1)) | (~v100(constB66)) | v129(constB66, bitIndex1)) <=> ((~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66)))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11857,plain,
% 72.92/45.78 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | (~v100(constB66)) | v129(constB66, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66))))),
% 72.92/45.78 inference(monotonicity,[status(thm)],[11856])).
% 72.92/45.78 tff(11858,plain,
% 72.92/45.78 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | (~v100(constB66)) | v129(constB66, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66)))),
% 72.92/45.78 inference(transitivity,[status(thm)],[11857, 11855])).
% 72.92/45.78 tff(11859,plain,
% 72.92/45.78 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | (~v100(constB66)) | v129(constB66, bitIndex1))),
% 72.92/45.78 inference(quant_inst,[status(thm)],[])).
% 72.92/45.78 tff(11860,plain,
% 72.92/45.78 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66))),
% 72.92/45.78 inference(modus_ponens,[status(thm)],[11859, 11858])).
% 72.92/45.78 tff(11861,plain,
% 72.92/45.78 (v129(constB66, bitIndex1) | (~v100(constB66))),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11860, 603, 11854])).
% 72.92/45.78 tff(11862,plain,
% 72.92/45.78 (v129(constB66, bitIndex1)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11861, 11809])).
% 72.92/45.78 tff(11863,plain,
% 72.92/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1)))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11864,plain,
% 72.92/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1)))),
% 72.92/45.78 inference(quant_inst,[status(thm)],[])).
% 72.92/45.78 tff(11865,plain,
% 72.92/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1))),
% 72.92/45.78 inference(modus_ponens,[status(thm)],[11864, 11863])).
% 72.92/45.78 tff(11866,plain,
% 72.92/45.78 (v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1))),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11865, 588, 10657])).
% 72.92/45.78 tff(11867,plain,
% 72.92/45.78 (v127(constB65, bitIndex1)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11866, 11862])).
% 72.92/45.78 tff(11868,plain,
% 72.92/45.78 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11869,plain,
% 72.92/45.78 ((v26(constB65) | v130(constB65, bitIndex1) | (~v127(constB65, bitIndex1))) <=> ((~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11870,plain,
% 72.92/45.78 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB65) | v130(constB65, bitIndex1) | (~v127(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1)))),
% 72.92/45.78 inference(monotonicity,[status(thm)],[11869])).
% 72.92/45.78 tff(11871,plain,
% 72.92/45.78 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB65) | v130(constB65, bitIndex1) | (~v127(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1))),
% 72.92/45.78 inference(transitivity,[status(thm)],[11870, 11868])).
% 72.92/45.78 tff(11872,plain,
% 72.92/45.78 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB65) | v130(constB65, bitIndex1) | (~v127(constB65, bitIndex1)))),
% 72.92/45.78 inference(quant_inst,[status(thm)],[])).
% 72.92/45.78 tff(11873,plain,
% 72.92/45.78 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1)),
% 72.92/45.78 inference(modus_ponens,[status(thm)],[11872, 11871])).
% 72.92/45.78 tff(11874,plain,
% 72.92/45.78 ((~v127(constB65, bitIndex1)) | v130(constB65, bitIndex1)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11873, 555, 10642])).
% 72.92/45.78 tff(11875,plain,
% 72.92/45.78 (v130(constB65, bitIndex1)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11874, 11867])).
% 72.92/45.78 tff(11876,plain,
% 72.92/45.78 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB65, bitIndex1)) | v123(constB65) | v121(constB65) | v119(constB65) | v124(constB65) | v120(constB65) | v122(constB65))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB65, bitIndex1)) | v123(constB65) | v121(constB65) | v119(constB65) | v124(constB65) | v120(constB65) | v122(constB65))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11877,plain,
% 72.92/45.78 ((v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex1))) <=> ((~v130(constB65, bitIndex1)) | v123(constB65) | v121(constB65) | v119(constB65) | v124(constB65) | v120(constB65) | v122(constB65))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11878,plain,
% 72.92/45.78 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB65, bitIndex1)) | v123(constB65) | v121(constB65) | v119(constB65) | v124(constB65) | v120(constB65) | v122(constB65)))),
% 72.92/45.78 inference(monotonicity,[status(thm)],[11877])).
% 72.92/45.78 tff(11879,plain,
% 72.92/45.78 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB65, bitIndex1)) | v123(constB65) | v121(constB65) | v119(constB65) | v124(constB65) | v120(constB65) | v122(constB65))),
% 72.92/45.78 inference(transitivity,[status(thm)],[11878, 11876])).
% 72.92/45.78 tff(11880,plain,
% 72.92/45.78 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex1)))),
% 72.92/45.78 inference(quant_inst,[status(thm)],[])).
% 72.92/45.78 tff(11881,plain,
% 72.92/45.78 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB65, bitIndex1)) | v123(constB65) | v121(constB65) | v119(constB65) | v124(constB65) | v120(constB65) | v122(constB65)),
% 72.92/45.78 inference(modus_ponens,[status(thm)],[11880, 11879])).
% 72.92/45.78 tff(11882,plain,
% 72.92/45.78 (v123(constB65)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11881, 2146, 11875, 11853, 11852, 11848, 11844, 11835])).
% 72.92/45.78 tff(11883,plain,
% 72.92/45.78 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB65)) | (~v130(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB65)) | (~v130(constB65, bitIndex1)))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11884,plain,
% 72.92/45.78 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB65)) | (~v130(constB65, bitIndex1)))),
% 72.92/45.78 inference(quant_inst,[status(thm)],[])).
% 72.92/45.78 tff(11885,plain,
% 72.92/45.78 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB65)) | (~v130(constB65, bitIndex1))),
% 72.92/45.78 inference(modus_ponens,[status(thm)],[11884, 11883])).
% 72.92/45.78 tff(11886,plain,
% 72.92/45.78 ($false),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11885, 1622, 11875, 11882])).
% 72.92/45.78 tff(11887,plain,((~v100(constB66)) | (~v90(constB66, bitIndex1)) | (~v90(constB66, bitIndex0)) | (~v90(constB66, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 72.92/45.78 tff(11888,plain,
% 72.92/45.78 (~v100(constB66)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11887, 11808, 11798, 11786])).
% 72.92/45.78 tff(11889,plain,
% 72.92/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB65, bitIndex2) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB65, bitIndex2) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex2)))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11890,plain,
% 72.92/45.78 (((~nextState(constB65, constB66)) | v90(constB65, bitIndex2) | v100(constB66) | (~v90(constB66, bitIndex2))) <=> (v90(constB65, bitIndex2) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex2)))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11891,plain,
% 72.92/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex2) | v100(constB66) | (~v90(constB66, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB65, bitIndex2) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex2))))),
% 72.92/45.78 inference(monotonicity,[status(thm)],[11890])).
% 72.92/45.78 tff(11892,plain,
% 72.92/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex2) | v100(constB66) | (~v90(constB66, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB65, bitIndex2) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex2)))),
% 72.92/45.78 inference(transitivity,[status(thm)],[11891, 11889])).
% 72.92/45.78 tff(11893,plain,
% 72.92/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex2) | v100(constB66) | (~v90(constB66, bitIndex2)))),
% 72.92/45.78 inference(quant_inst,[status(thm)],[])).
% 72.92/45.78 tff(11894,plain,
% 72.92/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB65, bitIndex2) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex2))),
% 72.92/45.78 inference(modus_ponens,[status(thm)],[11893, 11892])).
% 72.92/45.78 tff(11895,plain,
% 72.92/45.78 (v90(constB65, bitIndex2) | v100(constB66) | (~v90(constB66, bitIndex2))),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11894, 88, 10657])).
% 72.92/45.78 tff(11896,plain,
% 72.92/45.78 (v90(constB65, bitIndex2)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11895, 11888, 11786])).
% 72.92/45.78 tff(11897,plain,
% 72.92/45.78 (v90(constB64, bitIndex2)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[10548, 11896])).
% 72.92/45.78 tff(11898,assumption,(v121(constB63)), introduced(assumption)).
% 72.92/45.78 tff(11899,plain,
% 72.92/45.78 (v117(constB63)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[10068, 976, 11898])).
% 72.92/45.78 tff(11900,plain,
% 72.92/45.78 (v116(constB63)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[10018, 254, 11899])).
% 72.92/45.78 tff(11901,plain,
% 72.92/45.78 (v115(constB63)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[10007, 265, 11900])).
% 72.92/45.78 tff(11902,plain,
% 72.92/45.78 (v114(constB63)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[10003, 276, 11901])).
% 72.92/45.78 tff(11903,plain,
% 72.92/45.78 (v113(constB63)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[9999, 287, 11902])).
% 72.92/45.78 tff(11904,plain,
% 72.92/45.78 (v108(constB63)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[10479, 11903])).
% 72.92/45.78 tff(11905,plain,
% 72.92/45.78 (v110(constB64)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[10487, 11904])).
% 72.92/45.78 tff(11906,plain,
% 72.92/45.78 (v100(constB64)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[10513, 11905])).
% 72.92/45.78 tff(11907,plain,
% 72.92/45.78 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB63)) | (~v130(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB63)) | (~v130(constB63, bitIndex2)))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11908,plain,
% 72.92/45.78 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB63)) | (~v130(constB63, bitIndex2)))),
% 72.92/45.78 inference(quant_inst,[status(thm)],[])).
% 72.92/45.78 tff(11909,plain,
% 72.92/45.78 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB63)) | (~v130(constB63, bitIndex2))),
% 72.92/45.78 inference(modus_ponens,[status(thm)],[11908, 11907])).
% 72.92/45.78 tff(11910,plain,
% 72.92/45.78 (~v130(constB63, bitIndex2)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11909, 1059, 11898])).
% 72.92/45.78 tff(11911,plain,
% 72.92/45.78 (~v127(constB63, bitIndex2)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[9986, 11910])).
% 72.92/45.78 tff(11912,plain,
% 72.92/45.78 (~v129(constB64, bitIndex2)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[9994, 11911])).
% 72.92/45.78 tff(11913,plain,
% 72.92/45.78 ((~v90(constB64, bitIndex2)) | (~v100(constB64))),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[10520, 503, 11912])).
% 72.92/45.78 tff(11914,plain,
% 72.92/45.78 (~v90(constB64, bitIndex2)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11913, 11906])).
% 72.92/45.78 tff(11915,plain,
% 72.92/45.78 (~v90(constB65, bitIndex2)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[10548, 11914])).
% 72.92/45.78 tff(11916,plain,
% 72.92/45.78 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB63)) | v130(constB63, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB63)) | v130(constB63, bitIndex1))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11917,plain,
% 72.92/45.78 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB63)) | v130(constB63, bitIndex1))),
% 72.92/45.78 inference(quant_inst,[status(thm)],[])).
% 72.92/45.78 tff(11918,plain,
% 72.92/45.78 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB63)) | v130(constB63, bitIndex1)),
% 72.92/45.78 inference(modus_ponens,[status(thm)],[11917, 11916])).
% 72.92/45.78 tff(11919,plain,
% 72.92/45.78 (v130(constB63, bitIndex1)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11918, 1121, 11898])).
% 72.92/45.78 tff(11920,plain,
% 72.92/45.78 (v127(constB63, bitIndex1)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[10557, 11919])).
% 72.92/45.78 tff(11921,plain,
% 72.92/45.78 (v129(constB64, bitIndex1)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[10562, 11920])).
% 72.92/45.78 tff(11922,plain,
% 72.92/45.78 (v90(constB64, bitIndex1) | (~v100(constB64))),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[10569, 854, 11921])).
% 72.92/45.78 tff(11923,plain,
% 72.92/45.78 (v90(constB64, bitIndex1)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11922, 11906])).
% 72.92/45.78 tff(11924,plain,
% 72.92/45.78 (v90(constB65, bitIndex1)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[10579, 11923])).
% 72.92/45.78 tff(11925,plain,
% 72.92/45.78 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB63)) | v130(constB63, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB63)) | v130(constB63, bitIndex0))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11926,plain,
% 72.92/45.78 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB63)) | v130(constB63, bitIndex0))),
% 72.92/45.78 inference(quant_inst,[status(thm)],[])).
% 72.92/45.78 tff(11927,plain,
% 72.92/45.78 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB63)) | v130(constB63, bitIndex0)),
% 72.92/45.78 inference(modus_ponens,[status(thm)],[11926, 11925])).
% 72.92/45.78 tff(11928,plain,
% 72.92/45.78 (v130(constB63, bitIndex0)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11927, 1162, 11898])).
% 72.92/45.78 tff(11929,plain,
% 72.92/45.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB63) | (~v130(constB63, bitIndex0)) | v127(constB63, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB63) | (~v130(constB63, bitIndex0)) | v127(constB63, bitIndex0))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11930,plain,
% 72.92/45.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB63) | (~v130(constB63, bitIndex0)) | v127(constB63, bitIndex0))),
% 72.92/45.78 inference(quant_inst,[status(thm)],[])).
% 72.92/45.78 tff(11931,plain,
% 72.92/45.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB63) | (~v130(constB63, bitIndex0)) | v127(constB63, bitIndex0)),
% 72.92/45.78 inference(modus_ponens,[status(thm)],[11930, 11929])).
% 72.92/45.78 tff(11932,plain,
% 72.92/45.78 ((~v130(constB63, bitIndex0)) | v127(constB63, bitIndex0)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11931, 179, 9979])).
% 72.92/45.78 tff(11933,plain,
% 72.92/45.78 (v127(constB63, bitIndex0)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11932, 11928])).
% 72.92/45.78 tff(11934,plain,
% 72.92/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex0)) | v129(constB64, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex0)) | v129(constB64, bitIndex0))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11935,plain,
% 72.92/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex0)) | v129(constB64, bitIndex0))),
% 72.92/45.78 inference(quant_inst,[status(thm)],[])).
% 72.92/45.78 tff(11936,plain,
% 72.92/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex0)) | v129(constB64, bitIndex0)),
% 72.92/45.78 inference(modus_ponens,[status(thm)],[11935, 11934])).
% 72.92/45.78 tff(11937,plain,
% 72.92/45.78 ((~v127(constB63, bitIndex0)) | v129(constB64, bitIndex0)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11936, 197, 9990])).
% 72.92/45.78 tff(11938,plain,
% 72.92/45.78 (v129(constB64, bitIndex0)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11937, 11933])).
% 72.92/45.78 tff(11939,plain,
% 72.92/45.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB64, bitIndex0) | (~v129(constB64, bitIndex0)) | (~v100(constB64)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~v129(constB64, bitIndex0)) | (~v100(constB64)))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11940,plain,
% 72.92/45.78 ((v90(constB64, bitIndex0) | (~v100(constB64)) | (~v129(constB64, bitIndex0))) <=> (v90(constB64, bitIndex0) | (~v129(constB64, bitIndex0)) | (~v100(constB64)))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11941,plain,
% 72.92/45.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB64, bitIndex0) | (~v100(constB64)) | (~v129(constB64, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB64, bitIndex0) | (~v129(constB64, bitIndex0)) | (~v100(constB64))))),
% 72.92/45.78 inference(monotonicity,[status(thm)],[11940])).
% 72.92/45.78 tff(11942,plain,
% 72.92/45.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB64, bitIndex0) | (~v100(constB64)) | (~v129(constB64, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~v129(constB64, bitIndex0)) | (~v100(constB64)))),
% 72.92/45.78 inference(transitivity,[status(thm)],[11941, 11939])).
% 72.92/45.78 tff(11943,plain,
% 72.92/45.78 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB64, bitIndex0) | (~v100(constB64)) | (~v129(constB64, bitIndex0)))),
% 72.92/45.78 inference(quant_inst,[status(thm)],[])).
% 72.92/45.78 tff(11944,plain,
% 72.92/45.78 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB64, bitIndex0) | (~v129(constB64, bitIndex0)) | (~v100(constB64))),
% 72.92/45.78 inference(modus_ponens,[status(thm)],[11943, 11942])).
% 72.92/45.78 tff(11945,plain,
% 72.92/45.78 (v90(constB64, bitIndex0) | (~v100(constB64))),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11944, 401, 11938])).
% 72.92/45.78 tff(11946,plain,
% 72.92/45.78 (v90(constB64, bitIndex0)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11945, 11906])).
% 72.92/45.78 tff(11947,plain,
% 72.92/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex0))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11948,plain,
% 72.92/45.78 (((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex0)) | v100(constB65) | v90(constB65, bitIndex0)) <=> ((~v90(constB64, bitIndex0)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex0))),
% 72.92/45.78 inference(rewrite,[status(thm)],[])).
% 72.92/45.78 tff(11949,plain,
% 72.92/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex0)) | v100(constB65) | v90(constB65, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex0)))),
% 72.92/45.78 inference(monotonicity,[status(thm)],[11948])).
% 72.92/45.78 tff(11950,plain,
% 72.92/45.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex0)) | v100(constB65) | v90(constB65, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex0))),
% 72.92/45.78 inference(transitivity,[status(thm)],[11949, 11947])).
% 72.92/45.78 tff(11951,plain,
% 72.92/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex0)) | v100(constB65) | v90(constB65, bitIndex0))),
% 72.92/45.78 inference(quant_inst,[status(thm)],[])).
% 72.92/45.78 tff(11952,plain,
% 72.92/45.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex0)),
% 72.92/45.78 inference(modus_ponens,[status(thm)],[11951, 11950])).
% 72.92/45.78 tff(11953,plain,
% 72.92/45.78 ((~v90(constB64, bitIndex0)) | v100(constB65) | v90(constB65, bitIndex0)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11952, 437, 10528])).
% 72.92/45.78 tff(11954,plain,
% 72.92/45.78 ((~v90(constB64, bitIndex0)) | v90(constB65, bitIndex0)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11953, 10540])).
% 72.92/45.78 tff(11955,plain,
% 72.92/45.78 (v90(constB65, bitIndex0)),
% 72.92/45.78 inference(unit_resolution,[status(thm)],[11954, 11946])).
% 72.92/45.79 tff(11956,plain,
% 72.92/45.79 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v122(constB65))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v122(constB65))),
% 72.92/45.79 inference(rewrite,[status(thm)],[])).
% 72.92/45.79 tff(11957,plain,
% 72.92/45.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v122(constB65))),
% 72.92/45.79 inference(quant_inst,[status(thm)],[])).
% 72.92/45.79 tff(11958,plain,
% 72.92/45.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v122(constB65)),
% 72.92/45.79 inference(modus_ponens,[status(thm)],[11957, 11956])).
% 72.92/45.79 tff(11959,plain,
% 72.92/45.79 (v122(constB65)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[11958, 1203, 11955, 11924, 11915])).
% 72.92/45.79 tff(11960,plain,
% 72.92/45.79 (v100(constB66)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[11895, 11915, 11836])).
% 72.92/45.79 tff(11961,plain,
% 72.92/45.79 (v129(constB66, bitIndex0)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[11817, 11960])).
% 72.92/45.79 tff(11962,plain,
% 72.92/45.79 (v127(constB65, bitIndex0)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[11822, 11961])).
% 72.92/45.79 tff(11963,plain,
% 72.92/45.79 (v130(constB65, bitIndex0)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[11830, 11962])).
% 72.92/45.79 tff(11964,plain,
% 72.92/45.79 ($false),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[11834, 1433, 11963, 11959])).
% 72.92/45.79 tff(11965,plain,((~v121(constB63)) | (~v90(constB66, bitIndex0)) | (~v90(constB66, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 72.92/45.79 tff(11966,plain,
% 72.92/45.79 (~v121(constB63)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[11965, 11810, 11836])).
% 72.92/45.79 tff(11967,plain,
% 72.92/45.79 (v90(constB63, bitIndex2)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10084, 10012, 10064, 11966])).
% 72.92/45.79 tff(11968,plain,
% 72.92/45.79 (v90(constB63, bitIndex0)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10094, 11967])).
% 72.92/45.79 tff(11969,plain,
% 72.92/45.79 (v90(constB62, bitIndex0)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10103, 11968])).
% 72.92/45.79 tff(11970,plain,
% 72.92/45.79 (v90(constB62, bitIndex2)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[9890, 11967])).
% 72.92/45.79 tff(11971,plain,
% 72.92/45.79 (v100(constB62)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10404, 11970, 11969])).
% 72.92/45.79 tff(11972,plain,
% 72.92/45.79 (v129(constB62, bitIndex2) | (~v100(constB62))),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[9862, 503, 11970])).
% 72.92/45.79 tff(11973,plain,
% 72.92/45.79 (v129(constB62, bitIndex2)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[11972, 11971])).
% 72.92/45.79 tff(11974,plain,
% 72.92/45.79 (v127(constB61, bitIndex2)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[9855, 11973])).
% 72.92/45.79 tff(11975,plain,
% 72.92/45.79 (v130(constB61, bitIndex2)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[9850, 11974])).
% 72.92/45.79 tff(11976,plain,
% 72.92/45.79 (v129(constB62, bitIndex1)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10407, 11971])).
% 72.92/45.79 tff(11977,plain,
% 72.92/45.79 (v127(constB61, bitIndex1)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[9911, 11976])).
% 72.92/45.79 tff(11978,plain,
% 72.92/45.79 (v130(constB61, bitIndex1)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[9906, 11977])).
% 72.92/45.79 tff(11979,plain,
% 72.92/45.79 (~v123(constB61)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10413, 1622, 11978])).
% 72.92/45.79 tff(11980,assumption,(v119(constB61)), introduced(assumption)).
% 72.92/45.79 tff(11981,plain,
% 72.92/45.79 (~v130(constB61, bitIndex1)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10417, 541, 11980])).
% 72.92/45.79 tff(11982,plain,
% 72.92/45.79 (~v127(constB61, bitIndex1)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[9906, 11981])).
% 72.92/45.79 tff(11983,plain,
% 72.92/45.79 (~v129(constB62, bitIndex1)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[9911, 11982])).
% 72.92/45.79 tff(11984,assumption,(v100(constB62)), introduced(assumption)).
% 72.92/45.79 tff(11985,plain,
% 72.92/45.79 ((~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[9918, 603, 11984])).
% 72.92/45.79 tff(11986,plain,
% 72.92/45.79 (~v90(constB62, bitIndex1)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[11985, 11983])).
% 72.92/45.79 tff(11987,plain,
% 72.92/45.79 (~v90(constB63, bitIndex1)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[9928, 11986])).
% 72.92/45.79 tff(11988,plain,
% 72.92/45.79 (v114(constB63)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10063, 11987])).
% 72.92/45.79 tff(11989,plain,
% 72.92/45.79 (v113(constB63)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[9999, 287, 11988])).
% 72.92/45.79 tff(11990,plain,
% 72.92/45.79 (v108(constB63)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10479, 11989])).
% 72.92/45.79 tff(11991,plain,
% 72.92/45.79 (v110(constB64)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10487, 11990])).
% 72.92/45.79 tff(11992,plain,
% 72.92/45.79 (v100(constB64)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10513, 11991])).
% 72.92/45.79 tff(11993,plain,
% 72.92/45.79 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB61)) | (~v130(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB61)) | (~v130(constB61, bitIndex2)))),
% 72.92/45.79 inference(rewrite,[status(thm)],[])).
% 72.92/45.79 tff(11994,plain,
% 72.92/45.79 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB61)) | (~v130(constB61, bitIndex2)))),
% 72.92/45.79 inference(quant_inst,[status(thm)],[])).
% 72.92/45.79 tff(11995,plain,
% 72.92/45.79 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB61)) | (~v130(constB61, bitIndex2))),
% 72.92/45.79 inference(modus_ponens,[status(thm)],[11994, 11993])).
% 72.92/45.79 tff(11996,plain,
% 72.92/45.79 (~v130(constB61, bitIndex2)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[11995, 456, 11980])).
% 72.92/45.79 tff(11997,plain,
% 72.92/45.79 (~v127(constB61, bitIndex2)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[9850, 11996])).
% 72.92/45.79 tff(11998,plain,
% 72.92/45.79 (~v129(constB62, bitIndex2)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[9855, 11997])).
% 72.92/45.79 tff(11999,plain,
% 72.92/45.79 ((~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[9862, 503, 11984])).
% 72.92/45.79 tff(12000,plain,
% 72.92/45.79 (~v90(constB62, bitIndex2)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[11999, 11998])).
% 72.92/45.79 tff(12001,plain,
% 72.92/45.79 (~v90(constB63, bitIndex2)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[9890, 12000])).
% 72.92/45.79 tff(12002,plain,
% 72.92/45.79 (v130(constB61, bitIndex0)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10196, 165, 11980])).
% 72.92/45.79 tff(12003,plain,
% 72.92/45.79 (v127(constB61, bitIndex0)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[9941, 12002])).
% 72.92/45.79 tff(12004,plain,
% 72.92/45.79 (v129(constB62, bitIndex0)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[9946, 12003])).
% 72.92/45.79 tff(12005,plain,
% 72.92/45.79 (v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0))),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[9953, 401, 11984])).
% 72.92/45.79 tff(12006,plain,
% 72.92/45.79 (v90(constB62, bitIndex0)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12005, 12004])).
% 72.92/45.79 tff(12007,plain,
% 72.92/45.79 (v90(constB63, bitIndex0)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[9963, 12006])).
% 72.92/45.79 tff(12008,plain,
% 72.92/45.79 (v120(constB63)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[9970, 631, 12007, 11987, 12001])).
% 72.92/45.79 tff(12009,plain,
% 72.92/45.79 (~v130(constB63, bitIndex2)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[9974, 730, 12008])).
% 72.92/45.79 tff(12010,plain,
% 72.92/45.79 (~v127(constB63, bitIndex2)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[9986, 12009])).
% 72.92/45.79 tff(12011,plain,
% 72.92/45.79 (~v129(constB64, bitIndex2)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[9994, 12010])).
% 72.92/45.79 tff(12012,plain,
% 72.92/45.79 ((~v90(constB64, bitIndex2)) | (~v100(constB64))),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10520, 503, 12011])).
% 72.92/45.79 tff(12013,plain,
% 72.92/45.79 (~v90(constB64, bitIndex2)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12012, 11992])).
% 72.92/45.79 tff(12014,plain,
% 72.92/45.79 (~v90(constB65, bitIndex2)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10548, 12013])).
% 72.92/45.79 tff(12015,plain,
% 72.92/45.79 (v130(constB63, bitIndex1)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10552, 810, 12008])).
% 72.92/45.79 tff(12016,plain,
% 72.92/45.79 (v127(constB63, bitIndex1)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10557, 12015])).
% 72.92/45.79 tff(12017,plain,
% 72.92/45.79 (v129(constB64, bitIndex1)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10562, 12016])).
% 72.92/45.79 tff(12018,plain,
% 72.92/45.79 (v90(constB64, bitIndex1) | (~v100(constB64))),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10569, 854, 12017])).
% 72.92/45.79 tff(12019,plain,
% 72.92/45.79 (v90(constB64, bitIndex1)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12018, 11992])).
% 72.92/45.79 tff(12020,plain,
% 72.92/45.79 (v90(constB65, bitIndex1)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10579, 12019])).
% 72.92/45.79 tff(12021,plain,
% 72.92/45.79 (~v130(constB63, bitIndex0)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10583, 891, 12008])).
% 72.92/45.79 tff(12022,plain,
% 72.92/45.79 (~v127(constB63, bitIndex0)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10591, 12021])).
% 72.92/45.79 tff(12023,plain,
% 72.92/45.79 (~v129(constB64, bitIndex0)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10596, 12022])).
% 72.92/45.79 tff(12024,plain,
% 72.92/45.79 ((~v90(constB64, bitIndex0)) | (~v100(constB64))),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10603, 938, 12023])).
% 72.92/45.79 tff(12025,plain,
% 72.92/45.79 (~v90(constB64, bitIndex0)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12024, 11992])).
% 72.92/45.79 tff(12026,plain,
% 72.92/45.79 (~v90(constB65, bitIndex0)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10613, 12025])).
% 72.92/45.79 tff(12027,plain,
% 72.92/45.79 (v121(constB65)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10617, 965, 12026, 12020, 12014])).
% 72.92/45.79 tff(12028,plain,
% 72.92/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB65, bitIndex0) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB65, bitIndex0) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex0)))),
% 72.92/45.79 inference(rewrite,[status(thm)],[])).
% 72.92/45.79 tff(12029,plain,
% 72.92/45.79 (((~nextState(constB65, constB66)) | v90(constB65, bitIndex0) | v100(constB66) | (~v90(constB66, bitIndex0))) <=> (v90(constB65, bitIndex0) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex0)))),
% 72.92/45.79 inference(rewrite,[status(thm)],[])).
% 72.92/45.79 tff(12030,plain,
% 72.92/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex0) | v100(constB66) | (~v90(constB66, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB65, bitIndex0) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex0))))),
% 72.92/45.79 inference(monotonicity,[status(thm)],[12029])).
% 72.92/45.79 tff(12031,plain,
% 72.92/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex0) | v100(constB66) | (~v90(constB66, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB65, bitIndex0) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex0)))),
% 72.92/45.79 inference(transitivity,[status(thm)],[12030, 12028])).
% 72.92/45.79 tff(12032,plain,
% 72.92/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex0) | v100(constB66) | (~v90(constB66, bitIndex0)))),
% 72.92/45.79 inference(quant_inst,[status(thm)],[])).
% 72.92/45.79 tff(12033,plain,
% 72.92/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB65, bitIndex0) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex0))),
% 72.92/45.79 inference(modus_ponens,[status(thm)],[12032, 12031])).
% 72.92/45.79 tff(12034,plain,
% 72.92/45.79 (v90(constB65, bitIndex0) | v100(constB66) | (~v90(constB66, bitIndex0))),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12033, 130, 10657])).
% 72.92/45.79 tff(12035,plain,
% 72.92/45.79 (v100(constB66)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12034, 12026, 11810])).
% 72.92/45.79 tff(12036,plain,
% 72.92/45.79 (v129(constB66, bitIndex2)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[11837, 12035])).
% 72.92/45.79 tff(12037,plain,
% 72.92/45.79 (v127(constB65, bitIndex2)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10707, 12036])).
% 72.92/45.79 tff(12038,plain,
% 72.92/45.79 (v130(constB65, bitIndex2)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10702, 12037])).
% 72.92/45.79 tff(12039,plain,
% 72.92/45.79 ($false),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10694, 1059, 12038, 12027])).
% 72.92/45.79 tff(12040,plain,((~v119(constB61)) | (~v90(constB66, bitIndex2)) | (~v90(constB66, bitIndex0)) | (~v100(constB62))), inference(lemma,lemma(discharge,[]))).
% 72.92/45.79 tff(12041,plain,
% 72.92/45.79 (~v119(constB61)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12040, 11971, 11810, 11836])).
% 72.92/45.79 tff(12042,plain,
% 72.92/45.79 (~v122(constB61)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10421, 1389, 11978])).
% 72.92/45.79 tff(12043,plain,
% 72.92/45.79 (v129(constB62, bitIndex0) | (~v100(constB62))),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10428, 938, 11969])).
% 72.92/45.79 tff(12044,plain,
% 72.92/45.79 (v129(constB62, bitIndex0)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12043, 11971])).
% 72.92/45.79 tff(12045,plain,
% 72.92/45.79 (v127(constB61, bitIndex0)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10433, 12044])).
% 72.92/45.79 tff(12046,plain,
% 72.92/45.79 (v130(constB61, bitIndex0)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10441, 12045])).
% 72.92/45.79 tff(12047,plain,
% 72.92/45.79 (~v120(constB61)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10445, 891, 12046])).
% 72.92/45.79 tff(12048,plain,
% 72.92/45.79 (~v124(constB61)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10449, 1992, 12046])).
% 72.92/45.79 tff(12049,plain,
% 72.92/45.79 (v121(constB61)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[9841, 1955, 12048, 12047, 11975, 12042, 12041, 11979])).
% 72.92/45.79 tff(12050,plain,
% 72.92/45.79 ($false),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10456, 1059, 12049, 11975])).
% 72.92/45.79 tff(12051,plain,(v113(constB63) | (~v90(constB66, bitIndex0)) | (~v90(constB66, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 72.92/45.79 tff(12052,plain,
% 72.92/45.79 (v113(constB63)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12051, 11798, 11786])).
% 72.92/45.79 tff(12053,plain,
% 72.92/45.79 (v108(constB63)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10479, 12052])).
% 72.92/45.79 tff(12054,plain,
% 72.92/45.79 (v110(constB64)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10487, 12053])).
% 72.92/45.79 tff(12055,plain,
% 72.92/45.79 (v100(constB64)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10513, 12054])).
% 72.92/45.79 tff(12056,plain,
% 72.92/45.79 ((~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10520, 503, 12055])).
% 72.92/45.79 tff(12057,plain,
% 72.92/45.79 (v129(constB64, bitIndex2)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12056, 11897])).
% 72.92/45.79 tff(12058,plain,
% 72.92/45.79 (v127(constB63, bitIndex2)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[9994, 12057])).
% 72.92/45.79 tff(12059,plain,
% 72.92/45.79 (v130(constB63, bitIndex2)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[9986, 12058])).
% 72.92/45.79 tff(12060,plain,
% 72.92/45.79 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB63)) | (~v130(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB63)) | (~v130(constB63, bitIndex2)))),
% 72.92/45.79 inference(rewrite,[status(thm)],[])).
% 72.92/45.79 tff(12061,plain,
% 72.92/45.79 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v119(constB63)) | (~v130(constB63, bitIndex2)))),
% 72.92/45.79 inference(quant_inst,[status(thm)],[])).
% 72.92/45.79 tff(12062,plain,
% 72.92/45.79 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v119(constB63)) | (~v130(constB63, bitIndex2))),
% 72.92/45.79 inference(modus_ponens,[status(thm)],[12061, 12060])).
% 72.92/45.79 tff(12063,plain,
% 72.92/45.79 (~v119(constB63)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12062, 456, 12059])).
% 72.92/45.79 tff(12064,plain,
% 72.92/45.79 (v90(constB65, bitIndex0)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12034, 11888, 11798])).
% 72.92/45.79 tff(12065,plain,
% 72.92/45.79 (v90(constB64, bitIndex0)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10613, 12064])).
% 72.92/45.79 tff(12066,plain,
% 72.92/45.79 ((~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10603, 938, 12055])).
% 72.92/45.79 tff(12067,plain,
% 72.92/45.79 (v129(constB64, bitIndex0)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12066, 12065])).
% 72.92/45.79 tff(12068,plain,
% 72.92/45.79 (v127(constB63, bitIndex0)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10596, 12067])).
% 72.92/45.79 tff(12069,plain,
% 72.92/45.79 (v130(constB63, bitIndex0)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10591, 12068])).
% 72.92/45.79 tff(12070,plain,
% 72.92/45.79 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB63)) | (~v130(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB63)) | (~v130(constB63, bitIndex0)))),
% 72.92/45.79 inference(rewrite,[status(thm)],[])).
% 72.92/45.79 tff(12071,plain,
% 72.92/45.79 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB63)) | (~v130(constB63, bitIndex0)))),
% 72.92/45.79 inference(quant_inst,[status(thm)],[])).
% 72.92/45.79 tff(12072,plain,
% 72.92/45.79 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB63)) | (~v130(constB63, bitIndex0))),
% 72.92/45.79 inference(modus_ponens,[status(thm)],[12071, 12070])).
% 72.92/45.79 tff(12073,plain,
% 72.92/45.79 (~v124(constB63)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12072, 1992, 12069])).
% 72.92/45.79 tff(12074,plain,
% 72.92/45.79 (~v120(constB63)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[10583, 891, 12069])).
% 72.92/45.79 tff(12075,plain,
% 72.92/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB65, bitIndex1) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB65, bitIndex1) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex1)))),
% 72.92/45.79 inference(rewrite,[status(thm)],[])).
% 72.92/45.79 tff(12076,plain,
% 72.92/45.79 (((~nextState(constB65, constB66)) | v90(constB65, bitIndex1) | v100(constB66) | (~v90(constB66, bitIndex1))) <=> (v90(constB65, bitIndex1) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex1)))),
% 72.92/45.79 inference(rewrite,[status(thm)],[])).
% 72.92/45.79 tff(12077,plain,
% 72.92/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex1) | v100(constB66) | (~v90(constB66, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB65, bitIndex1) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex1))))),
% 72.92/45.79 inference(monotonicity,[status(thm)],[12076])).
% 72.92/45.79 tff(12078,plain,
% 72.92/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex1) | v100(constB66) | (~v90(constB66, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB65, bitIndex1) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex1)))),
% 72.92/45.79 inference(transitivity,[status(thm)],[12077, 12075])).
% 72.92/45.79 tff(12079,plain,
% 72.92/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB65, constB66)) | v90(constB65, bitIndex1) | v100(constB66) | (~v90(constB66, bitIndex1)))),
% 72.92/45.79 inference(quant_inst,[status(thm)],[])).
% 72.92/45.79 tff(12080,plain,
% 72.92/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB65, bitIndex1) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex1))),
% 72.92/45.79 inference(modus_ponens,[status(thm)],[12079, 12078])).
% 72.92/45.79 tff(12081,plain,
% 72.92/45.79 (v90(constB65, bitIndex1) | v100(constB66) | (~v90(constB66, bitIndex1))),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12080, 109, 10657])).
% 72.92/45.79 tff(12082,plain,
% 72.92/45.79 (v90(constB65, bitIndex1)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12081, 11888, 11808])).
% 72.92/45.79 tff(12083,plain,
% 72.92/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex1)))),
% 72.92/45.79 inference(rewrite,[status(thm)],[])).
% 72.92/45.79 tff(12084,plain,
% 72.92/45.79 (((~nextState(constB64, constB65)) | v90(constB64, bitIndex1) | v100(constB65) | (~v90(constB65, bitIndex1))) <=> (v90(constB64, bitIndex1) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex1)))),
% 72.92/45.79 inference(rewrite,[status(thm)],[])).
% 72.92/45.79 tff(12085,plain,
% 72.92/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex1) | v100(constB65) | (~v90(constB65, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex1))))),
% 72.92/45.79 inference(monotonicity,[status(thm)],[12084])).
% 72.92/45.79 tff(12086,plain,
% 72.92/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex1) | v100(constB65) | (~v90(constB65, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex1)))),
% 72.92/45.79 inference(transitivity,[status(thm)],[12085, 12083])).
% 72.92/45.79 tff(12087,plain,
% 72.92/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB64, constB65)) | v90(constB64, bitIndex1) | v100(constB65) | (~v90(constB65, bitIndex1)))),
% 72.92/45.79 inference(quant_inst,[status(thm)],[])).
% 72.92/45.79 tff(12088,plain,
% 72.92/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex1))),
% 72.92/45.79 inference(modus_ponens,[status(thm)],[12087, 12086])).
% 72.92/45.79 tff(12089,plain,
% 72.92/45.79 (v90(constB64, bitIndex1) | v100(constB65) | (~v90(constB65, bitIndex1))),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12088, 109, 10528])).
% 72.92/45.79 tff(12090,plain,
% 72.92/45.79 (v90(constB64, bitIndex1) | (~v90(constB65, bitIndex1))),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12089, 10540])).
% 72.92/45.79 tff(12091,plain,
% 72.92/45.79 (v90(constB64, bitIndex1)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12090, 12082])).
% 72.92/45.79 tff(12092,plain,
% 72.92/45.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB64, bitIndex1)) | v129(constB64, bitIndex1) | (~v100(constB64)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | v129(constB64, bitIndex1) | (~v100(constB64)))),
% 72.92/45.79 inference(rewrite,[status(thm)],[])).
% 72.92/45.79 tff(12093,plain,
% 72.92/45.79 (((~v90(constB64, bitIndex1)) | (~v100(constB64)) | v129(constB64, bitIndex1)) <=> ((~v90(constB64, bitIndex1)) | v129(constB64, bitIndex1) | (~v100(constB64)))),
% 72.92/45.79 inference(rewrite,[status(thm)],[])).
% 72.92/45.79 tff(12094,plain,
% 72.92/45.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB64, bitIndex1)) | (~v100(constB64)) | v129(constB64, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB64, bitIndex1)) | v129(constB64, bitIndex1) | (~v100(constB64))))),
% 72.92/45.79 inference(monotonicity,[status(thm)],[12093])).
% 72.92/45.79 tff(12095,plain,
% 72.92/45.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB64, bitIndex1)) | (~v100(constB64)) | v129(constB64, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | v129(constB64, bitIndex1) | (~v100(constB64)))),
% 72.92/45.79 inference(transitivity,[status(thm)],[12094, 12092])).
% 72.92/45.79 tff(12096,plain,
% 72.92/45.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB64, bitIndex1)) | (~v100(constB64)) | v129(constB64, bitIndex1))),
% 72.92/45.79 inference(quant_inst,[status(thm)],[])).
% 72.92/45.79 tff(12097,plain,
% 72.92/45.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | v129(constB64, bitIndex1) | (~v100(constB64))),
% 72.92/45.79 inference(modus_ponens,[status(thm)],[12096, 12095])).
% 72.92/45.79 tff(12098,plain,
% 72.92/45.79 ((~v90(constB64, bitIndex1)) | v129(constB64, bitIndex1)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12097, 603, 12055])).
% 72.92/45.79 tff(12099,plain,
% 72.92/45.79 (v129(constB64, bitIndex1)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12098, 12091])).
% 72.92/45.79 tff(12100,plain,
% 72.92/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex1) | (~v129(constB64, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex1) | (~v129(constB64, bitIndex1)))),
% 72.92/45.79 inference(rewrite,[status(thm)],[])).
% 72.92/45.79 tff(12101,plain,
% 72.92/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex1) | (~v129(constB64, bitIndex1)))),
% 72.92/45.79 inference(quant_inst,[status(thm)],[])).
% 72.92/45.79 tff(12102,plain,
% 72.92/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex1) | (~v129(constB64, bitIndex1))),
% 72.92/45.79 inference(modus_ponens,[status(thm)],[12101, 12100])).
% 72.92/45.79 tff(12103,plain,
% 72.92/45.79 (v127(constB63, bitIndex1) | (~v129(constB64, bitIndex1))),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12102, 588, 9990])).
% 72.92/45.79 tff(12104,plain,
% 72.92/45.79 (v127(constB63, bitIndex1)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12103, 12099])).
% 72.92/45.79 tff(12105,plain,
% 72.92/45.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB63, bitIndex1)) | v26(constB63) | v130(constB63, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB63, bitIndex1)) | v26(constB63) | v130(constB63, bitIndex1))),
% 72.92/45.79 inference(rewrite,[status(thm)],[])).
% 72.92/45.79 tff(12106,plain,
% 72.92/45.79 ((v26(constB63) | v130(constB63, bitIndex1) | (~v127(constB63, bitIndex1))) <=> ((~v127(constB63, bitIndex1)) | v26(constB63) | v130(constB63, bitIndex1))),
% 72.92/45.79 inference(rewrite,[status(thm)],[])).
% 72.92/45.79 tff(12107,plain,
% 72.92/45.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB63) | v130(constB63, bitIndex1) | (~v127(constB63, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB63, bitIndex1)) | v26(constB63) | v130(constB63, bitIndex1)))),
% 72.92/45.79 inference(monotonicity,[status(thm)],[12106])).
% 72.92/45.79 tff(12108,plain,
% 72.92/45.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB63) | v130(constB63, bitIndex1) | (~v127(constB63, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB63, bitIndex1)) | v26(constB63) | v130(constB63, bitIndex1))),
% 72.92/45.79 inference(transitivity,[status(thm)],[12107, 12105])).
% 72.92/45.79 tff(12109,plain,
% 72.92/45.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB63) | v130(constB63, bitIndex1) | (~v127(constB63, bitIndex1)))),
% 72.92/45.79 inference(quant_inst,[status(thm)],[])).
% 72.92/45.79 tff(12110,plain,
% 72.92/45.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB63, bitIndex1)) | v26(constB63) | v130(constB63, bitIndex1)),
% 72.92/45.79 inference(modus_ponens,[status(thm)],[12109, 12108])).
% 72.92/45.79 tff(12111,plain,
% 72.92/45.79 ((~v127(constB63, bitIndex1)) | v130(constB63, bitIndex1)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12110, 555, 9979])).
% 72.92/45.79 tff(12112,plain,
% 72.92/45.79 (v130(constB63, bitIndex1)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12111, 12104])).
% 72.92/45.79 tff(12113,plain,
% 72.92/45.79 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB63)) | (~v130(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB63)) | (~v130(constB63, bitIndex0)))),
% 72.92/45.79 inference(rewrite,[status(thm)],[])).
% 72.92/45.79 tff(12114,plain,
% 72.92/45.79 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB63)) | (~v130(constB63, bitIndex0)))),
% 72.92/45.79 inference(quant_inst,[status(thm)],[])).
% 72.92/45.79 tff(12115,plain,
% 72.92/45.79 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB63)) | (~v130(constB63, bitIndex0))),
% 72.92/45.79 inference(modus_ponens,[status(thm)],[12114, 12113])).
% 72.92/45.79 tff(12116,plain,
% 72.92/45.79 (~v122(constB63)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12115, 1433, 12069])).
% 72.92/45.79 tff(12117,plain,
% 72.92/45.79 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB63)) | (~v130(constB63, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB63)) | (~v130(constB63, bitIndex1)))),
% 72.92/45.79 inference(rewrite,[status(thm)],[])).
% 72.92/45.79 tff(12118,plain,
% 72.92/45.79 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB63)) | (~v130(constB63, bitIndex1)))),
% 72.92/45.79 inference(quant_inst,[status(thm)],[])).
% 72.92/45.79 tff(12119,plain,
% 72.92/45.79 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB63)) | (~v130(constB63, bitIndex1))),
% 72.92/45.79 inference(modus_ponens,[status(thm)],[12118, 12117])).
% 72.92/45.79 tff(12120,plain,
% 72.92/45.79 (~v123(constB63)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12119, 1622, 12112])).
% 72.92/45.79 tff(12121,plain,
% 72.92/45.79 (~v121(constB63)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[11965, 11798, 11786])).
% 72.92/45.79 tff(12122,plain,
% 72.92/45.79 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB63, bitIndex1)) | v124(constB63) | v121(constB63) | v120(constB63) | v119(constB63) | v122(constB63) | v123(constB63))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB63, bitIndex1)) | v124(constB63) | v121(constB63) | v120(constB63) | v119(constB63) | v122(constB63) | v123(constB63))),
% 72.92/45.79 inference(rewrite,[status(thm)],[])).
% 72.92/45.79 tff(12123,plain,
% 72.92/45.79 ((v120(constB63) | v119(constB63) | v121(constB63) | v122(constB63) | v123(constB63) | v124(constB63) | (~v130(constB63, bitIndex1))) <=> ((~v130(constB63, bitIndex1)) | v124(constB63) | v121(constB63) | v120(constB63) | v119(constB63) | v122(constB63) | v123(constB63))),
% 72.92/45.79 inference(rewrite,[status(thm)],[])).
% 72.92/45.79 tff(12124,plain,
% 72.92/45.79 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB63) | v119(constB63) | v121(constB63) | v122(constB63) | v123(constB63) | v124(constB63) | (~v130(constB63, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB63, bitIndex1)) | v124(constB63) | v121(constB63) | v120(constB63) | v119(constB63) | v122(constB63) | v123(constB63)))),
% 72.92/45.79 inference(monotonicity,[status(thm)],[12123])).
% 72.92/45.79 tff(12125,plain,
% 72.92/45.79 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB63) | v119(constB63) | v121(constB63) | v122(constB63) | v123(constB63) | v124(constB63) | (~v130(constB63, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB63, bitIndex1)) | v124(constB63) | v121(constB63) | v120(constB63) | v119(constB63) | v122(constB63) | v123(constB63))),
% 72.92/45.79 inference(transitivity,[status(thm)],[12124, 12122])).
% 72.92/45.79 tff(12126,plain,
% 72.92/45.79 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB63) | v119(constB63) | v121(constB63) | v122(constB63) | v123(constB63) | v124(constB63) | (~v130(constB63, bitIndex1)))),
% 72.92/45.79 inference(quant_inst,[status(thm)],[])).
% 72.92/45.79 tff(12127,plain,
% 72.92/45.79 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB63, bitIndex1)) | v124(constB63) | v121(constB63) | v120(constB63) | v119(constB63) | v122(constB63) | v123(constB63)),
% 72.92/45.79 inference(modus_ponens,[status(thm)],[12126, 12125])).
% 72.92/45.79 tff(12128,plain,
% 72.92/45.79 ((~v130(constB63, bitIndex1)) | v124(constB63) | v120(constB63) | v119(constB63) | v122(constB63) | v123(constB63)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12127, 2146, 12121])).
% 72.92/45.79 tff(12129,plain,
% 72.92/45.79 ($false),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12128, 12120, 12116, 12112, 12074, 12073, 12063])).
% 72.92/45.79 tff(12130,plain,(v113(constB71)), inference(lemma,lemma(discharge,[]))).
% 72.92/45.79 tff(12131,assumption,(~v108(constB71)), introduced(assumption)).
% 72.92/45.79 tff(12132,plain,
% 72.92/45.79 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB71) | (~v112(constB71)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB71) | (~v112(constB71)))),
% 72.92/45.79 inference(rewrite,[status(thm)],[])).
% 72.92/45.79 tff(12133,plain,
% 72.92/45.79 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB71) | (~v112(constB71)))),
% 72.92/45.79 inference(quant_inst,[status(thm)],[])).
% 72.92/45.79 tff(12134,plain,
% 72.92/45.79 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB71) | (~v112(constB71))),
% 72.92/45.79 inference(modus_ponens,[status(thm)],[12133, 12132])).
% 72.92/45.79 tff(12135,plain,
% 72.92/45.79 (~v112(constB71)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12134, 210, 12131])).
% 72.92/45.79 tff(12136,plain,
% 72.92/45.79 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB71) | (~v26(constB71)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB71) | (~v26(constB71)))),
% 72.92/45.79 inference(rewrite,[status(thm)],[])).
% 72.92/45.79 tff(12137,plain,
% 72.92/45.79 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB71) | (~v26(constB71)))),
% 72.92/45.79 inference(quant_inst,[status(thm)],[])).
% 72.92/45.79 tff(12138,plain,
% 72.92/45.79 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB71) | (~v26(constB71))),
% 72.92/45.79 inference(modus_ponens,[status(thm)],[12137, 12136])).
% 72.92/45.79 tff(12139,plain,
% 72.92/45.79 (~v26(constB71)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12138, 221, 12131])).
% 72.92/45.79 tff(12140,assumption,(v113(constB71)), introduced(assumption)).
% 72.92/45.79 tff(12141,plain,
% 72.92/45.79 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB71) | (~v113(constB71)) | v112(constB71))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB71) | (~v113(constB71)) | v112(constB71))),
% 72.92/45.79 inference(rewrite,[status(thm)],[])).
% 72.92/45.79 tff(12142,plain,
% 72.92/45.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB71) | (~v113(constB71)) | v112(constB71))),
% 72.92/45.79 inference(quant_inst,[status(thm)],[])).
% 72.92/45.79 tff(12143,plain,
% 72.92/45.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB71) | (~v113(constB71)) | v112(constB71)),
% 72.92/45.79 inference(modus_ponens,[status(thm)],[12142, 12141])).
% 72.92/45.79 tff(12144,plain,
% 72.92/45.79 (v26(constB71) | v112(constB71)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12143, 301, 12140])).
% 72.92/45.79 tff(12145,plain,
% 72.92/45.79 ($false),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12144, 12139, 12135])).
% 72.92/45.79 tff(12146,plain,(v108(constB71) | (~v113(constB71))), inference(lemma,lemma(discharge,[]))).
% 72.92/45.79 tff(12147,plain,
% 72.92/45.79 (v108(constB71)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12146, 12130])).
% 72.92/45.79 tff(12148,plain,
% 72.92/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 72.92/45.79 inference(rewrite,[status(thm)],[])).
% 72.92/45.79 tff(12149,plain,
% 72.92/45.79 (((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72)) <=> ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 72.92/45.79 inference(rewrite,[status(thm)],[])).
% 72.92/45.79 tff(12150,plain,
% 72.92/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71))))),
% 72.92/45.79 inference(monotonicity,[status(thm)],[12149])).
% 72.92/45.79 tff(12151,plain,
% 72.92/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 72.92/45.79 inference(transitivity,[status(thm)],[12150, 12148])).
% 72.92/45.79 tff(12152,plain,
% 72.92/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))),
% 72.92/45.79 inference(quant_inst,[status(thm)],[])).
% 72.92/45.79 tff(12153,plain,
% 72.92/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71))),
% 72.92/45.79 inference(modus_ponens,[status(thm)],[12152, 12151])).
% 72.92/45.79 tff(12154,plain,
% 72.92/45.79 (v110(constB72) | (~v108(constB71))),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12153, 317, 11245])).
% 72.92/45.79 tff(12155,plain,
% 72.92/45.79 (v110(constB72)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12154, 12147])).
% 72.92/45.79 tff(12156,plain,
% 72.92/45.79 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))),
% 72.92/45.79 inference(rewrite,[status(thm)],[])).
% 72.92/45.79 tff(12157,plain,
% 72.92/45.79 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))),
% 72.92/45.79 inference(quant_inst,[status(thm)],[])).
% 72.92/45.79 tff(12158,plain,
% 72.92/45.79 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72))),
% 72.92/45.79 inference(modus_ponens,[status(thm)],[12157, 12156])).
% 72.92/45.79 tff(12159,plain,
% 72.92/45.79 (~v104(constB72)),
% 72.92/45.79 inference(unit_resolution,[status(thm)],[12158, 335, 11245, 11097])).
% 72.92/45.79 tff(12160,plain,
% 72.92/45.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))),
% 72.92/45.79 inference(rewrite,[status(thm)],[])).
% 72.92/45.79 tff(12161,plain,
% 72.92/45.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))),
% 72.92/45.80 inference(quant_inst,[status(thm)],[])).
% 72.92/45.80 tff(12162,plain,
% 72.92/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v102(constB72) | v104(constB72)),
% 72.92/45.80 inference(modus_ponens,[status(thm)],[12161, 12160])).
% 72.92/45.80 tff(12163,plain,
% 72.92/45.80 (v102(constB72) | v104(constB72)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12162, 349, 11245])).
% 72.92/45.80 tff(12164,plain,
% 72.92/45.80 (v102(constB72)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12163, 12159])).
% 72.92/45.80 tff(12165,plain,
% 72.92/45.80 (v1(constB72) <=> v1(constB72)),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12166,axiom,(v1(constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_72_1')).
% 72.92/45.80 tff(12167,plain,
% 72.92/45.80 (v1(constB72)),
% 72.92/45.80 inference(modus_ponens,[status(thm)],[12166, 12165])).
% 72.92/45.80 tff(12168,plain,
% 72.92/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12169,plain,
% 72.92/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))),
% 72.92/45.80 inference(quant_inst,[status(thm)],[])).
% 72.92/45.80 tff(12170,plain,
% 72.92/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72))),
% 72.92/45.80 inference(modus_ponens,[status(thm)],[12169, 12168])).
% 72.92/45.80 tff(12171,plain,
% 72.92/45.80 (v101(constB72) | (~v102(constB72))),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12170, 367, 11245, 12167])).
% 72.92/45.80 tff(12172,plain,
% 72.92/45.80 (v101(constB72)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12171, 12164])).
% 72.92/45.80 tff(12173,plain,
% 72.92/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12174,plain,
% 72.92/45.80 (((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72)) <=> ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12175,plain,
% 72.92/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72))))),
% 72.92/45.80 inference(monotonicity,[status(thm)],[12174])).
% 72.92/45.80 tff(12176,plain,
% 72.92/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 72.92/45.80 inference(transitivity,[status(thm)],[12175, 12173])).
% 72.92/45.80 tff(12177,plain,
% 72.92/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))),
% 72.92/45.80 inference(quant_inst,[status(thm)],[])).
% 72.92/45.80 tff(12178,plain,
% 72.92/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72))),
% 72.92/45.80 inference(modus_ponens,[status(thm)],[12177, 12176])).
% 72.92/45.80 tff(12179,plain,
% 72.92/45.80 (v100(constB72) | (~v101(constB72)) | (~v110(constB72))),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12178, 382, 11245])).
% 72.92/45.80 tff(12180,plain,
% 72.92/45.80 (v100(constB72) | (~v110(constB72))),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12179, 12172])).
% 72.92/45.80 tff(12181,plain,
% 72.92/45.80 (v100(constB72)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12180, 12155])).
% 72.92/45.80 tff(12182,plain,
% 72.92/45.80 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12183,plain,
% 72.92/45.80 ((v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2))) <=> (v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12184,plain,
% 72.92/45.80 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72))))),
% 72.92/45.80 inference(monotonicity,[status(thm)],[12183])).
% 72.92/45.80 tff(12185,plain,
% 72.92/45.80 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))),
% 72.92/45.80 inference(transitivity,[status(thm)],[12184, 12182])).
% 72.92/45.80 tff(12186,plain,
% 72.92/45.80 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2)))),
% 72.92/45.80 inference(quant_inst,[status(thm)],[])).
% 72.92/45.80 tff(12187,plain,
% 72.92/45.80 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72))),
% 72.92/45.80 inference(modus_ponens,[status(thm)],[12186, 12185])).
% 72.92/45.80 tff(12188,plain,
% 72.92/45.80 (v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2))),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12187, 1334, 12181])).
% 72.92/45.80 tff(12189,plain,
% 72.92/45.80 (v90(constB72, bitIndex2)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12188, 11250])).
% 72.92/45.80 tff(12190,plain,
% 72.92/45.80 ((~v1(constB73)) <=> (~v1(constB73))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12191,axiom,(~v1(constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_73_1_1')).
% 72.92/45.80 tff(12192,plain,
% 72.92/45.80 (~v1(constB73)),
% 72.92/45.80 inference(modus_ponens,[status(thm)],[12191, 12190])).
% 72.92/45.80 tff(12193,plain,
% 72.92/45.80 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12194,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_72_1')).
% 72.92/45.80 tff(12195,plain,
% 72.92/45.80 (nextState(constB72, constB73)),
% 72.92/45.80 inference(modus_ponens,[status(thm)],[12194, 12193])).
% 72.92/45.80 tff(12196,plain,
% 72.92/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12197,plain,
% 72.92/45.80 (((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73)) <=> (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12198,plain,
% 72.92/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73))))),
% 72.92/45.80 inference(monotonicity,[status(thm)],[12197])).
% 72.92/45.80 tff(12199,plain,
% 72.92/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 72.92/45.80 inference(transitivity,[status(thm)],[12198, 12196])).
% 72.92/45.80 tff(12200,plain,
% 72.92/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))),
% 72.92/45.80 inference(quant_inst,[status(thm)],[])).
% 72.92/45.80 tff(12201,plain,
% 72.92/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73))),
% 72.92/45.80 inference(modus_ponens,[status(thm)],[12200, 12199])).
% 72.92/45.80 tff(12202,plain,
% 72.92/45.80 (~v101(constB73)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12201, 56, 12195, 12192])).
% 72.92/45.80 tff(12203,plain,
% 72.92/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12204,plain,
% 72.92/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))),
% 72.92/45.80 inference(quant_inst,[status(thm)],[])).
% 72.92/45.80 tff(12205,plain,
% 72.92/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73))),
% 72.92/45.80 inference(modus_ponens,[status(thm)],[12204, 12203])).
% 72.92/45.80 tff(12206,plain,
% 72.92/45.80 (v101(constB73) | (~v100(constB73))),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12205, 73, 12195])).
% 72.92/45.80 tff(12207,plain,
% 72.92/45.80 (~v100(constB73)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12206, 12202])).
% 72.92/45.80 tff(12208,plain,
% 72.92/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12209,plain,
% 72.92/45.80 (((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2)) <=> ((~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12210,plain,
% 72.92/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2)))),
% 72.92/45.80 inference(monotonicity,[status(thm)],[12209])).
% 72.92/45.80 tff(12211,plain,
% 72.92/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))),
% 72.92/45.80 inference(transitivity,[status(thm)],[12210, 12208])).
% 72.92/45.80 tff(12212,plain,
% 72.92/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2))),
% 72.92/45.80 inference(quant_inst,[status(thm)],[])).
% 72.92/45.80 tff(12213,plain,
% 72.92/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2)),
% 72.92/45.80 inference(modus_ponens,[status(thm)],[12212, 12211])).
% 72.92/45.80 tff(12214,plain,
% 72.92/45.80 ((~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12213, 1370, 12195])).
% 72.92/45.80 tff(12215,plain,
% 72.92/45.80 ((~v90(constB72, bitIndex2)) | v90(constB73, bitIndex2)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12214, 12207])).
% 72.92/45.80 tff(12216,plain,
% 72.92/45.80 (v90(constB73, bitIndex2)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12215, 12189])).
% 72.92/45.80 tff(12217,plain,
% 72.92/45.80 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB71)) | v130(constB71, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB71)) | v130(constB71, bitIndex1))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12218,plain,
% 72.92/45.80 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB71)) | v130(constB71, bitIndex1))),
% 72.92/45.80 inference(quant_inst,[status(thm)],[])).
% 72.92/45.80 tff(12219,plain,
% 72.92/45.80 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB71)) | v130(constB71, bitIndex1)),
% 72.92/45.80 inference(modus_ponens,[status(thm)],[12218, 12217])).
% 72.92/45.80 tff(12220,plain,
% 72.92/45.80 (v130(constB71, bitIndex1)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12219, 1867, 11229])).
% 72.92/45.80 tff(12221,plain,
% 72.92/45.80 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB71) | (~v130(constB71, bitIndex1)) | v127(constB71, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB71) | (~v130(constB71, bitIndex1)) | v127(constB71, bitIndex1))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12222,plain,
% 72.92/45.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB71) | (~v130(constB71, bitIndex1)) | v127(constB71, bitIndex1))),
% 72.92/45.80 inference(quant_inst,[status(thm)],[])).
% 72.92/45.80 tff(12223,plain,
% 72.92/45.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB71) | (~v130(constB71, bitIndex1)) | v127(constB71, bitIndex1)),
% 72.92/45.80 inference(modus_ponens,[status(thm)],[12222, 12221])).
% 72.92/45.80 tff(12224,plain,
% 72.92/45.80 ((~v130(constB71, bitIndex1)) | v127(constB71, bitIndex1)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12223, 824, 11237])).
% 72.92/45.80 tff(12225,plain,
% 72.92/45.80 (v127(constB71, bitIndex1)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12224, 12220])).
% 72.92/45.80 tff(12226,plain,
% 72.92/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB71, constB72)) | (~v127(constB71, bitIndex1)) | v129(constB72, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB71, constB72)) | (~v127(constB71, bitIndex1)) | v129(constB72, bitIndex1))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12227,plain,
% 72.92/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB71, constB72)) | (~v127(constB71, bitIndex1)) | v129(constB72, bitIndex1))),
% 72.92/45.80 inference(quant_inst,[status(thm)],[])).
% 72.92/45.80 tff(12228,plain,
% 72.92/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB71, constB72)) | (~v127(constB71, bitIndex1)) | v129(constB72, bitIndex1)),
% 72.92/45.80 inference(modus_ponens,[status(thm)],[12227, 12226])).
% 72.92/45.80 tff(12229,plain,
% 72.92/45.80 ((~v127(constB71, bitIndex1)) | v129(constB72, bitIndex1)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12228, 839, 11245])).
% 72.92/45.80 tff(12230,plain,
% 72.92/45.80 (v129(constB72, bitIndex1)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12229, 12225])).
% 72.92/45.80 tff(12231,plain,
% 72.92/45.80 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72)))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12232,plain,
% 72.92/45.80 ((v90(constB72, bitIndex1) | (~v100(constB72)) | (~v129(constB72, bitIndex1))) <=> (v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72)))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12233,plain,
% 72.92/45.80 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~v100(constB72)) | (~v129(constB72, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72))))),
% 72.92/45.80 inference(monotonicity,[status(thm)],[12232])).
% 72.92/45.80 tff(12234,plain,
% 72.92/45.80 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~v100(constB72)) | (~v129(constB72, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72)))),
% 72.92/45.80 inference(transitivity,[status(thm)],[12233, 12231])).
% 72.92/45.80 tff(12235,plain,
% 72.92/45.80 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB72, bitIndex1) | (~v100(constB72)) | (~v129(constB72, bitIndex1)))),
% 72.92/45.80 inference(quant_inst,[status(thm)],[])).
% 72.92/45.80 tff(12236,plain,
% 72.92/45.80 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1)) | (~v100(constB72))),
% 72.92/45.80 inference(modus_ponens,[status(thm)],[12235, 12234])).
% 72.92/45.80 tff(12237,plain,
% 72.92/45.80 (v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1))),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12236, 854, 12181])).
% 72.92/45.80 tff(12238,plain,
% 72.92/45.80 (v90(constB72, bitIndex1)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12237, 12230])).
% 72.92/45.80 tff(12239,plain,
% 72.92/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12240,plain,
% 72.92/45.80 (((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex1)) | v100(constB73) | v90(constB73, bitIndex1)) <=> ((~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12241,plain,
% 72.92/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex1)) | v100(constB73) | v90(constB73, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1)))),
% 72.92/45.80 inference(monotonicity,[status(thm)],[12240])).
% 72.92/45.80 tff(12242,plain,
% 72.92/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex1)) | v100(constB73) | v90(constB73, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1))),
% 72.92/45.80 inference(transitivity,[status(thm)],[12241, 12239])).
% 72.92/45.80 tff(12243,plain,
% 72.92/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex1)) | v100(constB73) | v90(constB73, bitIndex1))),
% 72.92/45.80 inference(quant_inst,[status(thm)],[])).
% 72.92/45.80 tff(12244,plain,
% 72.92/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex1)),
% 72.92/45.80 inference(modus_ponens,[status(thm)],[12243, 12242])).
% 72.92/45.80 tff(12245,plain,
% 72.92/45.80 ((~v90(constB72, bitIndex1)) | v100(constB73) | v90(constB73, bitIndex1)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12244, 872, 12195])).
% 72.92/45.80 tff(12246,plain,
% 72.92/45.80 ((~v90(constB72, bitIndex1)) | v90(constB73, bitIndex1)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12245, 12207])).
% 72.92/45.80 tff(12247,plain,
% 72.92/45.80 (v90(constB73, bitIndex1)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12246, 12238])).
% 72.92/45.80 tff(12248,plain,
% 72.92/45.80 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB71)) | (~v130(constB71, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB71)) | (~v130(constB71, bitIndex0)))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12249,plain,
% 72.92/45.80 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB71)) | (~v130(constB71, bitIndex0)))),
% 72.92/45.80 inference(quant_inst,[status(thm)],[])).
% 72.92/45.80 tff(12250,plain,
% 72.92/45.80 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB71)) | (~v130(constB71, bitIndex0))),
% 72.92/45.80 inference(modus_ponens,[status(thm)],[12249, 12248])).
% 72.92/45.80 tff(12251,plain,
% 72.92/45.80 (~v130(constB71, bitIndex0)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12250, 1992, 11229])).
% 72.92/45.80 tff(12252,plain,
% 72.92/45.80 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12253,plain,
% 72.92/45.80 ((v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0))) <=> ((~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12254,plain,
% 72.92/45.80 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0)))),
% 72.92/45.80 inference(monotonicity,[status(thm)],[12253])).
% 72.92/45.80 tff(12255,plain,
% 72.92/45.80 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))),
% 72.92/45.80 inference(transitivity,[status(thm)],[12254, 12252])).
% 72.92/45.80 tff(12256,plain,
% 72.92/45.80 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0)))),
% 72.92/45.80 inference(quant_inst,[status(thm)],[])).
% 72.92/45.80 tff(12257,plain,
% 72.92/45.80 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0)),
% 72.92/45.80 inference(modus_ponens,[status(thm)],[12256, 12255])).
% 72.92/45.80 tff(12258,plain,
% 72.92/45.80 ((~v127(constB71, bitIndex0)) | v130(constB71, bitIndex0)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12257, 905, 11237])).
% 72.92/45.80 tff(12259,plain,
% 72.92/45.80 (~v127(constB71, bitIndex0)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12258, 12251])).
% 72.92/45.80 tff(12260,plain,
% 72.92/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0)))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12261,plain,
% 72.92/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0)))),
% 72.92/45.80 inference(quant_inst,[status(thm)],[])).
% 72.92/45.80 tff(12262,plain,
% 72.92/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0))),
% 72.92/45.80 inference(modus_ponens,[status(thm)],[12261, 12260])).
% 72.92/45.80 tff(12263,plain,
% 72.92/45.80 (v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0))),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12262, 923, 11245])).
% 72.92/45.80 tff(12264,plain,
% 72.92/45.80 (~v129(constB72, bitIndex0)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12263, 12259])).
% 72.92/45.80 tff(12265,plain,
% 72.92/45.80 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12266,plain,
% 72.92/45.80 (((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0)) <=> ((~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12267,plain,
% 72.92/45.80 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72))))),
% 72.92/45.80 inference(monotonicity,[status(thm)],[12266])).
% 72.92/45.80 tff(12268,plain,
% 72.92/45.80 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))),
% 72.92/45.80 inference(transitivity,[status(thm)],[12267, 12265])).
% 72.92/45.80 tff(12269,plain,
% 72.92/45.80 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0))),
% 72.92/45.80 inference(quant_inst,[status(thm)],[])).
% 72.92/45.80 tff(12270,plain,
% 72.92/45.80 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72))),
% 72.92/45.80 inference(modus_ponens,[status(thm)],[12269, 12268])).
% 72.92/45.80 tff(12271,plain,
% 72.92/45.80 ((~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12270, 938, 12181])).
% 72.92/45.80 tff(12272,plain,
% 72.92/45.80 (~v90(constB72, bitIndex0)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12271, 12264])).
% 72.92/45.80 tff(12273,plain,
% 72.92/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12274,plain,
% 72.92/45.80 (((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0))) <=> (v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12275,plain,
% 72.92/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0))))),
% 72.92/45.80 inference(monotonicity,[status(thm)],[12274])).
% 72.92/45.80 tff(12276,plain,
% 72.92/45.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 72.92/45.80 inference(transitivity,[status(thm)],[12275, 12273])).
% 72.92/45.80 tff(12277,plain,
% 72.92/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 72.92/45.80 inference(quant_inst,[status(thm)],[])).
% 72.92/45.80 tff(12278,plain,
% 72.92/45.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0))),
% 72.92/45.80 inference(modus_ponens,[status(thm)],[12277, 12276])).
% 72.92/45.80 tff(12279,plain,
% 72.92/45.80 (v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0))),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12278, 130, 12195])).
% 72.92/45.80 tff(12280,plain,
% 72.92/45.80 (v90(constB72, bitIndex0) | (~v90(constB73, bitIndex0))),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12279, 12207])).
% 72.92/45.80 tff(12281,plain,
% 72.92/45.80 (~v90(constB73, bitIndex0)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12280, 12272])).
% 72.92/45.80 tff(12282,plain,
% 72.92/45.80 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)) | v125(constB73))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)) | v125(constB73))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12283,plain,
% 72.92/45.80 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)) | v125(constB73))),
% 72.92/45.80 inference(quant_inst,[status(thm)],[])).
% 72.92/45.80 tff(12284,plain,
% 72.92/45.80 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)) | v125(constB73)),
% 72.92/45.80 inference(modus_ponens,[status(thm)],[12283, 12282])).
% 72.92/45.80 tff(12285,plain,
% 72.92/45.80 (v125(constB73)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12284, 2036, 12281, 12247, 12216])).
% 72.92/45.80 tff(12286,plain,
% 72.92/45.80 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB73) | (~v125(constB73)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB73) | (~v125(constB73)))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12287,plain,
% 72.92/45.80 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB73) | (~v125(constB73)))),
% 72.92/45.80 inference(quant_inst,[status(thm)],[])).
% 72.92/45.80 tff(12288,plain,
% 72.92/45.80 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB73) | (~v125(constB73))),
% 72.92/45.80 inference(modus_ponens,[status(thm)],[12287, 12286])).
% 72.92/45.80 tff(12289,plain,
% 72.92/45.80 (v113(constB73)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12288, 2047, 12285])).
% 72.92/45.80 tff(12290,assumption,(v26(constB73)), introduced(assumption)).
% 72.92/45.80 tff(12291,plain,
% 72.92/45.80 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB73))),
% 72.92/45.80 inference(quant_inst,[status(thm)],[])).
% 72.92/45.80 tff(12292,plain,
% 72.92/45.80 ($false),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12291, 37, 12290])).
% 72.92/45.80 tff(12293,plain,(~v26(constB73)), inference(lemma,lemma(discharge,[]))).
% 72.92/45.80 tff(12294,plain,
% 72.92/45.80 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | (~v113(constB73)) | v112(constB73))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12295,plain,
% 72.92/45.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))),
% 72.92/45.80 inference(quant_inst,[status(thm)],[])).
% 72.92/45.80 tff(12296,plain,
% 72.92/45.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | (~v113(constB73)) | v112(constB73)),
% 72.92/45.80 inference(modus_ponens,[status(thm)],[12295, 12294])).
% 72.92/45.80 tff(12297,plain,
% 72.92/45.80 ((~v113(constB73)) | v112(constB73)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12296, 301, 12293])).
% 72.92/45.80 tff(12298,plain,
% 72.92/45.80 (v112(constB73)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12297, 12289])).
% 72.92/45.80 tff(12299,plain,
% 72.92/45.80 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB73) | (~v112(constB73)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB73) | (~v112(constB73)))),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12300,plain,
% 72.92/45.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB73) | (~v112(constB73)))),
% 72.92/45.80 inference(quant_inst,[status(thm)],[])).
% 72.92/45.80 tff(12301,plain,
% 72.92/45.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB73) | (~v112(constB73))),
% 72.92/45.80 inference(modus_ponens,[status(thm)],[12300, 12299])).
% 72.92/45.80 tff(12302,plain,
% 72.92/45.80 (v108(constB73)),
% 72.92/45.80 inference(unit_resolution,[status(thm)],[12301, 210, 12298])).
% 72.92/45.80 tff(12303,plain,
% 72.92/45.80 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 72.92/45.80 inference(rewrite,[status(thm)],[])).
% 72.92/45.80 tff(12304,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_73_1')).
% 72.92/45.81 tff(12305,plain,
% 72.92/45.81 (nextState(constB73, constB74)),
% 72.92/45.81 inference(modus_ponens,[status(thm)],[12304, 12303])).
% 72.92/45.81 tff(12306,plain,
% 72.92/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 72.92/45.81 inference(rewrite,[status(thm)],[])).
% 72.92/45.81 tff(12307,plain,
% 72.92/45.81 (((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74)) <=> ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 72.92/45.81 inference(rewrite,[status(thm)],[])).
% 72.92/45.81 tff(12308,plain,
% 72.92/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73))))),
% 72.92/45.81 inference(monotonicity,[status(thm)],[12307])).
% 72.92/45.81 tff(12309,plain,
% 72.92/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 72.92/45.81 inference(transitivity,[status(thm)],[12308, 12306])).
% 72.92/45.81 tff(12310,plain,
% 72.92/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))),
% 72.92/45.81 inference(quant_inst,[status(thm)],[])).
% 72.92/45.81 tff(12311,plain,
% 72.92/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73))),
% 72.92/45.81 inference(modus_ponens,[status(thm)],[12310, 12309])).
% 72.92/45.81 tff(12312,plain,
% 72.92/45.81 (v110(constB74) | (~v108(constB73))),
% 72.92/45.81 inference(unit_resolution,[status(thm)],[12311, 317, 12305])).
% 72.92/45.81 tff(12313,plain,
% 72.92/45.81 (v110(constB74)),
% 72.92/45.81 inference(unit_resolution,[status(thm)],[12312, 12302])).
% 72.92/45.81 tff(12314,plain,
% 72.92/45.81 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))),
% 72.92/45.81 inference(rewrite,[status(thm)],[])).
% 72.92/45.81 tff(12315,plain,
% 72.92/45.81 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))),
% 72.92/45.81 inference(quant_inst,[status(thm)],[])).
% 72.92/45.81 tff(12316,plain,
% 72.92/45.81 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74))),
% 72.92/45.81 inference(modus_ponens,[status(thm)],[12315, 12314])).
% 72.92/45.81 tff(12317,plain,
% 72.92/45.81 (~v104(constB74)),
% 72.92/45.81 inference(unit_resolution,[status(thm)],[12316, 335, 12305, 12192])).
% 72.92/45.81 tff(12318,plain,
% 72.92/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))),
% 72.92/45.81 inference(rewrite,[status(thm)],[])).
% 72.92/45.81 tff(12319,plain,
% 72.92/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))),
% 72.92/45.81 inference(quant_inst,[status(thm)],[])).
% 72.92/45.81 tff(12320,plain,
% 72.92/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v102(constB74) | v104(constB74)),
% 72.92/45.81 inference(modus_ponens,[status(thm)],[12319, 12318])).
% 72.92/45.81 tff(12321,plain,
% 72.92/45.81 (v102(constB74) | v104(constB74)),
% 72.92/45.81 inference(unit_resolution,[status(thm)],[12320, 349, 12305])).
% 72.92/45.81 tff(12322,plain,
% 72.92/45.81 (v102(constB74)),
% 72.92/45.81 inference(unit_resolution,[status(thm)],[12321, 12317])).
% 72.92/45.81 tff(12323,plain,
% 72.92/45.81 (v1(constB74) <=> v1(constB74)),
% 72.92/45.81 inference(rewrite,[status(thm)],[])).
% 72.92/45.81 tff(12324,axiom,(v1(constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_74_1')).
% 72.92/45.81 tff(12325,plain,
% 72.92/45.81 (v1(constB74)),
% 72.92/45.81 inference(modus_ponens,[status(thm)],[12324, 12323])).
% 72.92/45.81 tff(12326,plain,
% 72.92/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))),
% 72.92/45.81 inference(rewrite,[status(thm)],[])).
% 72.92/45.81 tff(12327,plain,
% 72.92/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))),
% 72.92/45.81 inference(quant_inst,[status(thm)],[])).
% 72.92/45.81 tff(12328,plain,
% 72.92/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74))),
% 72.92/45.81 inference(modus_ponens,[status(thm)],[12327, 12326])).
% 72.92/45.81 tff(12329,plain,
% 72.92/45.81 (v101(constB74) | (~v102(constB74))),
% 72.92/45.81 inference(unit_resolution,[status(thm)],[12328, 367, 12305, 12325])).
% 72.92/45.81 tff(12330,plain,
% 72.92/45.81 (v101(constB74)),
% 72.92/45.81 inference(unit_resolution,[status(thm)],[12329, 12322])).
% 72.92/45.81 tff(12331,plain,
% 72.92/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 72.92/45.81 inference(rewrite,[status(thm)],[])).
% 72.92/45.81 tff(12332,plain,
% 72.92/45.81 (((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74)) <=> ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 72.92/45.81 inference(rewrite,[status(thm)],[])).
% 72.92/45.81 tff(12333,plain,
% 72.92/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74))))),
% 72.92/45.81 inference(monotonicity,[status(thm)],[12332])).
% 72.92/45.81 tff(12334,plain,
% 72.92/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 72.92/45.81 inference(transitivity,[status(thm)],[12333, 12331])).
% 72.92/45.81 tff(12335,plain,
% 72.92/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))),
% 72.98/45.81 inference(quant_inst,[status(thm)],[])).
% 72.98/45.81 tff(12336,plain,
% 72.98/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74))),
% 72.98/45.81 inference(modus_ponens,[status(thm)],[12335, 12334])).
% 72.98/45.81 tff(12337,plain,
% 72.98/45.81 (v100(constB74) | (~v101(constB74)) | (~v110(constB74))),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12336, 382, 12305])).
% 72.98/45.81 tff(12338,plain,
% 72.98/45.81 (v100(constB74) | (~v110(constB74))),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12337, 12330])).
% 72.98/45.81 tff(12339,plain,
% 72.98/45.81 (v100(constB74)),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12338, 12313])).
% 72.98/45.81 tff(12340,plain,
% 72.98/45.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB73, bitIndex2)) | (~v121(constB73)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB73, bitIndex2)) | (~v121(constB73)))),
% 72.98/45.81 inference(rewrite,[status(thm)],[])).
% 72.98/45.81 tff(12341,plain,
% 72.98/45.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB73, bitIndex2)) | (~v121(constB73)))),
% 72.98/45.81 inference(quant_inst,[status(thm)],[])).
% 72.98/45.81 tff(12342,plain,
% 72.98/45.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB73, bitIndex2)) | (~v121(constB73))),
% 72.98/45.81 inference(modus_ponens,[status(thm)],[12341, 12340])).
% 72.98/45.81 tff(12343,plain,
% 72.98/45.81 (~v121(constB73)),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12342, 1842, 12216])).
% 72.98/45.81 tff(12344,plain,
% 72.98/45.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB73, bitIndex2)) | (~v122(constB73)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB73, bitIndex2)) | (~v122(constB73)))),
% 72.98/45.81 inference(rewrite,[status(thm)],[])).
% 72.98/45.81 tff(12345,plain,
% 72.98/45.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB73, bitIndex2)) | (~v122(constB73)))),
% 72.98/45.81 inference(quant_inst,[status(thm)],[])).
% 72.98/45.81 tff(12346,plain,
% 72.98/45.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB73, bitIndex2)) | (~v122(constB73))),
% 72.98/45.81 inference(modus_ponens,[status(thm)],[12345, 12344])).
% 72.98/45.81 tff(12347,plain,
% 72.98/45.81 (~v122(constB73)),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12346, 1853, 12216])).
% 72.98/45.81 tff(12348,plain,
% 72.98/45.81 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB73)) | (~v90(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB73)) | (~v90(constB73, bitIndex1)))),
% 72.98/45.81 inference(rewrite,[status(thm)],[])).
% 72.98/45.81 tff(12349,plain,
% 72.98/45.81 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB73)) | (~v90(constB73, bitIndex1)))),
% 72.98/45.81 inference(quant_inst,[status(thm)],[])).
% 72.98/45.81 tff(12350,plain,
% 72.98/45.81 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB73)) | (~v90(constB73, bitIndex1))),
% 72.98/45.81 inference(modus_ponens,[status(thm)],[12349, 12348])).
% 72.98/45.81 tff(12351,plain,
% 72.98/45.81 (~v119(constB73)),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12350, 1908, 12247])).
% 72.98/45.81 tff(12352,plain,
% 72.98/45.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB73, bitIndex1)) | (~v120(constB73)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB73, bitIndex1)) | (~v120(constB73)))),
% 72.98/45.81 inference(rewrite,[status(thm)],[])).
% 72.98/45.81 tff(12353,plain,
% 72.98/45.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB73, bitIndex1)) | (~v120(constB73)))),
% 72.98/45.81 inference(quant_inst,[status(thm)],[])).
% 72.98/45.81 tff(12354,plain,
% 72.98/45.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB73, bitIndex1)) | (~v120(constB73))),
% 72.98/45.81 inference(modus_ponens,[status(thm)],[12353, 12352])).
% 72.98/45.81 tff(12355,plain,
% 72.98/45.81 (~v120(constB73)),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12354, 1919, 12247])).
% 72.98/45.81 tff(12356,plain,
% 72.98/45.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB73, bitIndex1)) | (~v123(constB73)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB73, bitIndex1)) | (~v123(constB73)))),
% 72.98/45.81 inference(rewrite,[status(thm)],[])).
% 72.98/45.81 tff(12357,plain,
% 72.98/45.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB73, bitIndex1)) | (~v123(constB73)))),
% 72.98/45.81 inference(quant_inst,[status(thm)],[])).
% 72.98/45.81 tff(12358,plain,
% 72.98/45.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB73, bitIndex1)) | (~v123(constB73))),
% 72.98/45.81 inference(modus_ponens,[status(thm)],[12357, 12356])).
% 72.98/45.81 tff(12359,plain,
% 72.98/45.81 (~v123(constB73)),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12358, 1930, 12247])).
% 72.98/45.81 tff(12360,plain,
% 72.98/45.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB73, bitIndex1)) | (~v124(constB73)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB73, bitIndex1)) | (~v124(constB73)))),
% 72.98/45.81 inference(rewrite,[status(thm)],[])).
% 72.98/45.81 tff(12361,plain,
% 72.98/45.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB73, bitIndex1)) | (~v124(constB73)))),
% 72.98/45.81 inference(quant_inst,[status(thm)],[])).
% 72.98/45.81 tff(12362,plain,
% 72.98/45.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB73, bitIndex1)) | (~v124(constB73))),
% 72.98/45.81 inference(modus_ponens,[status(thm)],[12361, 12360])).
% 72.98/45.81 tff(12363,plain,
% 72.98/45.81 (~v124(constB73)),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12362, 1941, 12247])).
% 72.98/45.81 tff(12364,plain,
% 72.98/45.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB73) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | (~v130(constB73, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB73) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | (~v130(constB73, bitIndex2)))),
% 72.98/45.81 inference(rewrite,[status(thm)],[])).
% 72.98/45.81 tff(12365,plain,
% 72.98/45.81 ((v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex2))) <=> (v124(constB73) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | (~v130(constB73, bitIndex2)))),
% 72.98/45.81 inference(rewrite,[status(thm)],[])).
% 72.98/45.81 tff(12366,plain,
% 72.98/45.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB73) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | (~v130(constB73, bitIndex2))))),
% 72.98/45.81 inference(monotonicity,[status(thm)],[12365])).
% 72.98/45.81 tff(12367,plain,
% 72.98/45.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB73) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | (~v130(constB73, bitIndex2)))),
% 72.98/45.81 inference(transitivity,[status(thm)],[12366, 12364])).
% 72.98/45.81 tff(12368,plain,
% 72.98/45.81 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex2)))),
% 72.98/45.81 inference(quant_inst,[status(thm)],[])).
% 72.98/45.81 tff(12369,plain,
% 72.98/45.81 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB73) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | (~v130(constB73, bitIndex2))),
% 72.98/45.81 inference(modus_ponens,[status(thm)],[12368, 12367])).
% 72.98/45.81 tff(12370,plain,
% 72.98/45.81 (~v130(constB73, bitIndex2)),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12369, 1955, 12363, 12359, 12355, 12351, 12347, 12343])).
% 72.98/45.81 tff(12371,plain,
% 72.98/45.81 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2))),
% 72.98/45.81 inference(rewrite,[status(thm)],[])).
% 72.98/45.81 tff(12372,plain,
% 72.98/45.81 ((v26(constB73) | v130(constB73, bitIndex2) | (~v127(constB73, bitIndex2))) <=> ((~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2))),
% 72.98/45.81 inference(rewrite,[status(thm)],[])).
% 72.98/45.81 tff(12373,plain,
% 72.98/45.81 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB73) | v130(constB73, bitIndex2) | (~v127(constB73, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2)))),
% 72.98/45.81 inference(monotonicity,[status(thm)],[12372])).
% 72.98/45.81 tff(12374,plain,
% 72.98/45.81 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB73) | v130(constB73, bitIndex2) | (~v127(constB73, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2))),
% 72.98/45.81 inference(transitivity,[status(thm)],[12373, 12371])).
% 72.98/45.81 tff(12375,plain,
% 72.98/45.81 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB73) | v130(constB73, bitIndex2) | (~v127(constB73, bitIndex2)))),
% 72.98/45.81 inference(quant_inst,[status(thm)],[])).
% 72.98/45.81 tff(12376,plain,
% 72.98/45.81 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB73, bitIndex2)) | v26(constB73) | v130(constB73, bitIndex2)),
% 72.98/45.81 inference(modus_ponens,[status(thm)],[12375, 12374])).
% 72.98/45.81 tff(12377,plain,
% 72.98/45.81 ((~v127(constB73, bitIndex2)) | v130(constB73, bitIndex2)),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12376, 470, 12293])).
% 72.98/45.81 tff(12378,plain,
% 72.98/45.81 (~v127(constB73, bitIndex2)),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12377, 12370])).
% 72.98/45.81 tff(12379,plain,
% 72.98/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB73, constB74)) | v127(constB73, bitIndex2) | (~v129(constB74, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB73, constB74)) | v127(constB73, bitIndex2) | (~v129(constB74, bitIndex2)))),
% 72.98/45.81 inference(rewrite,[status(thm)],[])).
% 72.98/45.81 tff(12380,plain,
% 72.98/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB73, constB74)) | v127(constB73, bitIndex2) | (~v129(constB74, bitIndex2)))),
% 72.98/45.81 inference(quant_inst,[status(thm)],[])).
% 72.98/45.81 tff(12381,plain,
% 72.98/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB73, constB74)) | v127(constB73, bitIndex2) | (~v129(constB74, bitIndex2))),
% 72.98/45.81 inference(modus_ponens,[status(thm)],[12380, 12379])).
% 72.98/45.81 tff(12382,plain,
% 72.98/45.81 (v127(constB73, bitIndex2) | (~v129(constB74, bitIndex2))),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12381, 488, 12305])).
% 72.98/45.81 tff(12383,plain,
% 72.98/45.81 (~v129(constB74, bitIndex2)),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12382, 12378])).
% 72.98/45.81 tff(12384,plain,
% 72.98/45.81 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2) | (~v100(constB74)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2) | (~v100(constB74)))),
% 72.98/45.81 inference(rewrite,[status(thm)],[])).
% 72.98/45.81 tff(12385,plain,
% 72.98/45.81 (((~v90(constB74, bitIndex2)) | (~v100(constB74)) | v129(constB74, bitIndex2)) <=> ((~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2) | (~v100(constB74)))),
% 72.98/45.81 inference(rewrite,[status(thm)],[])).
% 72.98/45.81 tff(12386,plain,
% 72.98/45.81 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB74, bitIndex2)) | (~v100(constB74)) | v129(constB74, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2) | (~v100(constB74))))),
% 72.98/45.81 inference(monotonicity,[status(thm)],[12385])).
% 72.98/45.81 tff(12387,plain,
% 72.98/45.81 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB74, bitIndex2)) | (~v100(constB74)) | v129(constB74, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2) | (~v100(constB74)))),
% 72.98/45.81 inference(transitivity,[status(thm)],[12386, 12384])).
% 72.98/45.81 tff(12388,plain,
% 72.98/45.81 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB74, bitIndex2)) | (~v100(constB74)) | v129(constB74, bitIndex2))),
% 72.98/45.81 inference(quant_inst,[status(thm)],[])).
% 72.98/45.81 tff(12389,plain,
% 72.98/45.81 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2) | (~v100(constB74))),
% 72.98/45.81 inference(modus_ponens,[status(thm)],[12388, 12387])).
% 72.98/45.81 tff(12390,plain,
% 72.98/45.81 ((~v90(constB74, bitIndex2)) | (~v100(constB74))),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12389, 503, 12383])).
% 72.98/45.81 tff(12391,plain,
% 72.98/45.81 (~v90(constB74, bitIndex2)),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12390, 12339])).
% 72.98/45.81 tff(12392,plain,
% 72.98/45.81 ((~v1(constB75)) <=> (~v1(constB75))),
% 72.98/45.81 inference(rewrite,[status(thm)],[])).
% 72.98/45.81 tff(12393,axiom,(~v1(constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_75_1_1')).
% 72.98/45.81 tff(12394,plain,
% 72.98/45.81 (~v1(constB75)),
% 72.98/45.81 inference(modus_ponens,[status(thm)],[12393, 12392])).
% 72.98/45.81 tff(12395,plain,
% 72.98/45.81 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 72.98/45.81 inference(rewrite,[status(thm)],[])).
% 72.98/45.81 tff(12396,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_74_1')).
% 72.98/45.81 tff(12397,plain,
% 72.98/45.81 (nextState(constB74, constB75)),
% 72.98/45.81 inference(modus_ponens,[status(thm)],[12396, 12395])).
% 72.98/45.81 tff(12398,plain,
% 72.98/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 72.98/45.81 inference(rewrite,[status(thm)],[])).
% 72.98/45.81 tff(12399,plain,
% 72.98/45.81 (((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75)) <=> (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 72.98/45.81 inference(rewrite,[status(thm)],[])).
% 72.98/45.81 tff(12400,plain,
% 72.98/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75))))),
% 72.98/45.81 inference(monotonicity,[status(thm)],[12399])).
% 72.98/45.81 tff(12401,plain,
% 72.98/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 72.98/45.81 inference(transitivity,[status(thm)],[12400, 12398])).
% 72.98/45.81 tff(12402,plain,
% 72.98/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))),
% 72.98/45.81 inference(quant_inst,[status(thm)],[])).
% 72.98/45.81 tff(12403,plain,
% 72.98/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75))),
% 72.98/45.81 inference(modus_ponens,[status(thm)],[12402, 12401])).
% 72.98/45.81 tff(12404,plain,
% 72.98/45.81 (~v101(constB75)),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12403, 56, 12397, 12394])).
% 72.98/45.81 tff(12405,plain,
% 72.98/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))),
% 72.98/45.81 inference(rewrite,[status(thm)],[])).
% 72.98/45.81 tff(12406,plain,
% 72.98/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))),
% 72.98/45.81 inference(quant_inst,[status(thm)],[])).
% 72.98/45.81 tff(12407,plain,
% 72.98/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75))),
% 72.98/45.81 inference(modus_ponens,[status(thm)],[12406, 12405])).
% 72.98/45.81 tff(12408,plain,
% 72.98/45.81 (v101(constB75) | (~v100(constB75))),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12407, 73, 12397])).
% 72.98/45.81 tff(12409,plain,
% 72.98/45.81 (~v100(constB75)),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12408, 12404])).
% 72.98/45.81 tff(12410,plain,
% 72.98/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex2)))),
% 72.98/45.81 inference(rewrite,[status(thm)],[])).
% 72.98/45.81 tff(12411,plain,
% 72.98/45.81 (((~nextState(constB74, constB75)) | v90(constB74, bitIndex2) | v100(constB75) | (~v90(constB75, bitIndex2))) <=> (v90(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex2)))),
% 72.98/45.81 inference(rewrite,[status(thm)],[])).
% 72.98/45.81 tff(12412,plain,
% 72.98/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex2) | v100(constB75) | (~v90(constB75, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex2))))),
% 72.98/45.81 inference(monotonicity,[status(thm)],[12411])).
% 72.98/45.81 tff(12413,plain,
% 72.98/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex2) | v100(constB75) | (~v90(constB75, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex2)))),
% 72.98/45.81 inference(transitivity,[status(thm)],[12412, 12410])).
% 72.98/45.81 tff(12414,plain,
% 72.98/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex2) | v100(constB75) | (~v90(constB75, bitIndex2)))),
% 72.98/45.81 inference(quant_inst,[status(thm)],[])).
% 72.98/45.81 tff(12415,plain,
% 72.98/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex2))),
% 72.98/45.81 inference(modus_ponens,[status(thm)],[12414, 12413])).
% 72.98/45.81 tff(12416,plain,
% 72.98/45.81 (v90(constB74, bitIndex2) | v100(constB75) | (~v90(constB75, bitIndex2))),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12415, 88, 12397])).
% 72.98/45.81 tff(12417,plain,
% 72.98/45.81 (v90(constB74, bitIndex2) | (~v90(constB75, bitIndex2))),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12416, 12409])).
% 72.98/45.81 tff(12418,plain,
% 72.98/45.81 (~v90(constB75, bitIndex2)),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12417, 12391])).
% 72.98/45.81 tff(12419,plain,
% 72.98/45.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB73) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | (~v130(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB73) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | (~v130(constB73, bitIndex1)))),
% 72.98/45.81 inference(rewrite,[status(thm)],[])).
% 72.98/45.81 tff(12420,plain,
% 72.98/45.81 ((v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex1))) <=> (v124(constB73) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | (~v130(constB73, bitIndex1)))),
% 72.98/45.81 inference(rewrite,[status(thm)],[])).
% 72.98/45.81 tff(12421,plain,
% 72.98/45.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB73) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | (~v130(constB73, bitIndex1))))),
% 72.98/45.81 inference(monotonicity,[status(thm)],[12420])).
% 72.98/45.81 tff(12422,plain,
% 72.98/45.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB73) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | (~v130(constB73, bitIndex1)))),
% 72.98/45.81 inference(transitivity,[status(thm)],[12421, 12419])).
% 72.98/45.81 tff(12423,plain,
% 72.98/45.81 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, bitIndex1)))),
% 72.98/45.81 inference(quant_inst,[status(thm)],[])).
% 72.98/45.81 tff(12424,plain,
% 72.98/45.81 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB73) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | (~v130(constB73, bitIndex1))),
% 72.98/45.81 inference(modus_ponens,[status(thm)],[12423, 12422])).
% 72.98/45.81 tff(12425,plain,
% 72.98/45.81 (~v130(constB73, bitIndex1)),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12424, 2146, 12363, 12359, 12355, 12351, 12347, 12343])).
% 72.98/45.81 tff(12426,plain,
% 72.98/45.81 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1))),
% 72.98/45.81 inference(rewrite,[status(thm)],[])).
% 72.98/45.81 tff(12427,plain,
% 72.98/45.81 ((v26(constB73) | v130(constB73, bitIndex1) | (~v127(constB73, bitIndex1))) <=> ((~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1))),
% 72.98/45.81 inference(rewrite,[status(thm)],[])).
% 72.98/45.81 tff(12428,plain,
% 72.98/45.81 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB73) | v130(constB73, bitIndex1) | (~v127(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1)))),
% 72.98/45.81 inference(monotonicity,[status(thm)],[12427])).
% 72.98/45.81 tff(12429,plain,
% 72.98/45.81 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB73) | v130(constB73, bitIndex1) | (~v127(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1))),
% 72.98/45.81 inference(transitivity,[status(thm)],[12428, 12426])).
% 72.98/45.81 tff(12430,plain,
% 72.98/45.81 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB73) | v130(constB73, bitIndex1) | (~v127(constB73, bitIndex1)))),
% 72.98/45.81 inference(quant_inst,[status(thm)],[])).
% 72.98/45.81 tff(12431,plain,
% 72.98/45.81 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB73, bitIndex1)) | v26(constB73) | v130(constB73, bitIndex1)),
% 72.98/45.81 inference(modus_ponens,[status(thm)],[12430, 12429])).
% 72.98/45.81 tff(12432,plain,
% 72.98/45.81 ((~v127(constB73, bitIndex1)) | v130(constB73, bitIndex1)),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12431, 555, 12293])).
% 72.98/45.81 tff(12433,plain,
% 72.98/45.81 (~v127(constB73, bitIndex1)),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12432, 12425])).
% 72.98/45.81 tff(12434,plain,
% 72.98/45.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB73, constB74)) | v127(constB73, bitIndex1) | (~v129(constB74, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB73, constB74)) | v127(constB73, bitIndex1) | (~v129(constB74, bitIndex1)))),
% 72.98/45.81 inference(rewrite,[status(thm)],[])).
% 72.98/45.81 tff(12435,plain,
% 72.98/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB73, constB74)) | v127(constB73, bitIndex1) | (~v129(constB74, bitIndex1)))),
% 72.98/45.81 inference(quant_inst,[status(thm)],[])).
% 72.98/45.81 tff(12436,plain,
% 72.98/45.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB73, constB74)) | v127(constB73, bitIndex1) | (~v129(constB74, bitIndex1))),
% 72.98/45.81 inference(modus_ponens,[status(thm)],[12435, 12434])).
% 72.98/45.81 tff(12437,plain,
% 72.98/45.81 (v127(constB73, bitIndex1) | (~v129(constB74, bitIndex1))),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12436, 588, 12305])).
% 72.98/45.81 tff(12438,plain,
% 72.98/45.81 (~v129(constB74, bitIndex1)),
% 72.98/45.81 inference(unit_resolution,[status(thm)],[12437, 12433])).
% 72.98/45.81 tff(12439,plain,
% 72.98/45.81 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74)))),
% 72.98/45.81 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12440,plain,
% 72.98/45.82 (((~v90(constB74, bitIndex1)) | (~v100(constB74)) | v129(constB74, bitIndex1)) <=> ((~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74)))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12441,plain,
% 72.98/45.82 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | (~v100(constB74)) | v129(constB74, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74))))),
% 72.98/45.82 inference(monotonicity,[status(thm)],[12440])).
% 72.98/45.82 tff(12442,plain,
% 72.98/45.82 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | (~v100(constB74)) | v129(constB74, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74)))),
% 72.98/45.82 inference(transitivity,[status(thm)],[12441, 12439])).
% 72.98/45.82 tff(12443,plain,
% 72.98/45.82 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB74, bitIndex1)) | (~v100(constB74)) | v129(constB74, bitIndex1))),
% 72.98/45.82 inference(quant_inst,[status(thm)],[])).
% 72.98/45.82 tff(12444,plain,
% 72.98/45.82 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1) | (~v100(constB74))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12443, 12442])).
% 72.98/45.82 tff(12445,plain,
% 72.98/45.82 ((~v90(constB74, bitIndex1)) | (~v100(constB74))),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12444, 603, 12438])).
% 72.98/45.82 tff(12446,plain,
% 72.98/45.82 (~v90(constB74, bitIndex1)),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12445, 12339])).
% 72.98/45.82 tff(12447,plain,
% 72.98/45.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1)))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12448,plain,
% 72.98/45.82 (((~nextState(constB74, constB75)) | v90(constB74, bitIndex1) | v100(constB75) | (~v90(constB75, bitIndex1))) <=> (v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1)))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12449,plain,
% 72.98/45.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex1) | v100(constB75) | (~v90(constB75, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1))))),
% 72.98/45.82 inference(monotonicity,[status(thm)],[12448])).
% 72.98/45.82 tff(12450,plain,
% 72.98/45.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex1) | v100(constB75) | (~v90(constB75, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1)))),
% 72.98/45.82 inference(transitivity,[status(thm)],[12449, 12447])).
% 72.98/45.82 tff(12451,plain,
% 72.98/45.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB74, constB75)) | v90(constB74, bitIndex1) | v100(constB75) | (~v90(constB75, bitIndex1)))),
% 72.98/45.82 inference(quant_inst,[status(thm)],[])).
% 72.98/45.82 tff(12452,plain,
% 72.98/45.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex1))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12451, 12450])).
% 72.98/45.82 tff(12453,plain,
% 72.98/45.82 (v90(constB74, bitIndex1) | v100(constB75) | (~v90(constB75, bitIndex1))),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12452, 109, 12397])).
% 72.98/45.82 tff(12454,plain,
% 72.98/45.82 (v90(constB74, bitIndex1) | (~v90(constB75, bitIndex1))),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12453, 12409])).
% 72.98/45.82 tff(12455,plain,
% 72.98/45.82 (~v90(constB75, bitIndex1)),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12454, 12446])).
% 72.98/45.82 tff(12456,plain,
% 72.98/45.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB73) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v130(constB73, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB73) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v130(constB73, bitIndex0))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12457,plain,
% 72.98/45.82 ((v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, bitIndex0)) <=> (v124(constB73) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v130(constB73, bitIndex0))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12458,plain,
% 72.98/45.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB73) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v130(constB73, bitIndex0)))),
% 72.98/45.82 inference(monotonicity,[status(thm)],[12457])).
% 72.98/45.82 tff(12459,plain,
% 72.98/45.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB73) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v130(constB73, bitIndex0))),
% 72.98/45.82 inference(transitivity,[status(thm)],[12458, 12456])).
% 72.98/45.82 tff(12460,plain,
% 72.98/45.82 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB73) | v119(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, bitIndex0))),
% 72.98/45.82 inference(quant_inst,[status(thm)],[])).
% 72.98/45.82 tff(12461,plain,
% 72.98/45.82 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB73) | v123(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | v122(constB73) | v130(constB73, bitIndex0)),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12460, 12459])).
% 72.98/45.82 tff(12462,plain,
% 72.98/45.82 (v130(constB73, bitIndex0)),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12461, 2192, 12363, 12359, 12355, 12351, 12347, 12343])).
% 72.98/45.82 tff(12463,plain,
% 72.98/45.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB73) | (~v130(constB73, bitIndex0)) | v127(constB73, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB73) | (~v130(constB73, bitIndex0)) | v127(constB73, bitIndex0))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12464,plain,
% 72.98/45.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB73) | (~v130(constB73, bitIndex0)) | v127(constB73, bitIndex0))),
% 72.98/45.82 inference(quant_inst,[status(thm)],[])).
% 72.98/45.82 tff(12465,plain,
% 72.98/45.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB73) | (~v130(constB73, bitIndex0)) | v127(constB73, bitIndex0)),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12464, 12463])).
% 72.98/45.82 tff(12466,plain,
% 72.98/45.82 ((~v130(constB73, bitIndex0)) | v127(constB73, bitIndex0)),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12465, 179, 12293])).
% 72.98/45.82 tff(12467,plain,
% 72.98/45.82 (v127(constB73, bitIndex0)),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12466, 12462])).
% 72.98/45.82 tff(12468,plain,
% 72.98/45.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB73, constB74)) | (~v127(constB73, bitIndex0)) | v129(constB74, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB73, constB74)) | (~v127(constB73, bitIndex0)) | v129(constB74, bitIndex0))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12469,plain,
% 72.98/45.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB73, constB74)) | (~v127(constB73, bitIndex0)) | v129(constB74, bitIndex0))),
% 72.98/45.82 inference(quant_inst,[status(thm)],[])).
% 72.98/45.82 tff(12470,plain,
% 72.98/45.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB73, constB74)) | (~v127(constB73, bitIndex0)) | v129(constB74, bitIndex0)),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12469, 12468])).
% 72.98/45.82 tff(12471,plain,
% 72.98/45.82 ((~v127(constB73, bitIndex0)) | v129(constB74, bitIndex0)),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12470, 197, 12305])).
% 72.98/45.82 tff(12472,plain,
% 72.98/45.82 (v129(constB74, bitIndex0)),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12471, 12467])).
% 72.98/45.82 tff(12473,plain,
% 72.98/45.82 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0)) | (~v100(constB74)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0)) | (~v100(constB74)))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12474,plain,
% 72.98/45.82 ((v90(constB74, bitIndex0) | (~v100(constB74)) | (~v129(constB74, bitIndex0))) <=> (v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0)) | (~v100(constB74)))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12475,plain,
% 72.98/45.82 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~v100(constB74)) | (~v129(constB74, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0)) | (~v100(constB74))))),
% 72.98/45.82 inference(monotonicity,[status(thm)],[12474])).
% 72.98/45.82 tff(12476,plain,
% 72.98/45.82 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~v100(constB74)) | (~v129(constB74, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0)) | (~v100(constB74)))),
% 72.98/45.82 inference(transitivity,[status(thm)],[12475, 12473])).
% 72.98/45.82 tff(12477,plain,
% 72.98/45.82 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB74, bitIndex0) | (~v100(constB74)) | (~v129(constB74, bitIndex0)))),
% 72.98/45.82 inference(quant_inst,[status(thm)],[])).
% 72.98/45.82 tff(12478,plain,
% 72.98/45.82 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0)) | (~v100(constB74))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12477, 12476])).
% 72.98/45.82 tff(12479,plain,
% 72.98/45.82 (v90(constB74, bitIndex0) | (~v100(constB74))),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12478, 401, 12472])).
% 72.98/45.82 tff(12480,plain,
% 72.98/45.82 (v90(constB74, bitIndex0)),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12479, 12339])).
% 72.98/45.82 tff(12481,plain,
% 72.98/45.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex0))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12482,plain,
% 72.98/45.82 (((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex0)) | v100(constB75) | v90(constB75, bitIndex0)) <=> ((~v90(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex0))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12483,plain,
% 72.98/45.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex0)) | v100(constB75) | v90(constB75, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex0)))),
% 72.98/45.82 inference(monotonicity,[status(thm)],[12482])).
% 72.98/45.82 tff(12484,plain,
% 72.98/45.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex0)) | v100(constB75) | v90(constB75, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex0))),
% 72.98/45.82 inference(transitivity,[status(thm)],[12483, 12481])).
% 72.98/45.82 tff(12485,plain,
% 72.98/45.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex0)) | v100(constB75) | v90(constB75, bitIndex0))),
% 72.98/45.82 inference(quant_inst,[status(thm)],[])).
% 72.98/45.82 tff(12486,plain,
% 72.98/45.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex0)),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12485, 12484])).
% 72.98/45.82 tff(12487,plain,
% 72.98/45.82 ((~v90(constB74, bitIndex0)) | v100(constB75) | v90(constB75, bitIndex0)),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12486, 437, 12397])).
% 72.98/45.82 tff(12488,plain,
% 72.98/45.82 ((~v90(constB74, bitIndex0)) | v90(constB75, bitIndex0)),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12487, 12409])).
% 72.98/45.82 tff(12489,plain,
% 72.98/45.82 (v90(constB75, bitIndex0)),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12488, 12480])).
% 72.98/45.82 tff(12490,plain,
% 72.98/45.82 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12491,plain,
% 72.98/45.82 (((~v90(constB75, bitIndex0)) | v120(constB75) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2)) <=> ((~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12492,plain,
% 72.98/45.82 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB75, bitIndex0)) | v120(constB75) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75)))),
% 72.98/45.82 inference(monotonicity,[status(thm)],[12491])).
% 72.98/45.82 tff(12493,plain,
% 72.98/45.82 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB75, bitIndex0)) | v120(constB75) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75))),
% 72.98/45.82 inference(transitivity,[status(thm)],[12492, 12490])).
% 72.98/45.82 tff(12494,plain,
% 72.98/45.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB75, bitIndex0)) | v120(constB75) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2))),
% 72.98/45.82 inference(quant_inst,[status(thm)],[])).
% 72.98/45.82 tff(12495,plain,
% 72.98/45.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB75, bitIndex0)) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | v120(constB75)),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12494, 12493])).
% 72.98/45.82 tff(12496,plain,
% 72.98/45.82 (v120(constB75)),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12495, 631, 12489, 12455, 12418])).
% 72.98/45.82 tff(12497,assumption,(v120(constB75)), introduced(assumption)).
% 72.98/45.82 tff(12498,plain,
% 72.98/45.82 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB75) | (~v120(constB75)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB75) | (~v120(constB75)))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12499,plain,
% 72.98/45.82 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB75) | (~v120(constB75)))),
% 72.98/45.82 inference(quant_inst,[status(thm)],[])).
% 72.98/45.82 tff(12500,plain,
% 72.98/45.82 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB75) | (~v120(constB75))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12499, 12498])).
% 72.98/45.82 tff(12501,plain,
% 72.98/45.82 (v118(constB75)),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12500, 646, 12497])).
% 72.98/45.82 tff(12502,plain,
% 72.98/45.82 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB75) | (~v118(constB75)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB75) | (~v118(constB75)))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12503,plain,
% 72.98/45.82 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB75) | (~v118(constB75)))),
% 72.98/45.82 inference(quant_inst,[status(thm)],[])).
% 72.98/45.82 tff(12504,plain,
% 72.98/45.82 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB75) | (~v118(constB75))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12503, 12502])).
% 72.98/45.82 tff(12505,plain,
% 72.98/45.82 (v117(constB75)),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12504, 243, 12501])).
% 72.98/45.82 tff(12506,plain,
% 72.98/45.82 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB75) | (~v117(constB75)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB75) | (~v117(constB75)))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12507,plain,
% 72.98/45.82 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB75) | (~v117(constB75)))),
% 72.98/45.82 inference(quant_inst,[status(thm)],[])).
% 72.98/45.82 tff(12508,plain,
% 72.98/45.82 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB75) | (~v117(constB75))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12507, 12506])).
% 72.98/45.82 tff(12509,plain,
% 72.98/45.82 (v116(constB75)),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12508, 254, 12505])).
% 72.98/45.82 tff(12510,plain,
% 72.98/45.82 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB75) | (~v116(constB75)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB75) | (~v116(constB75)))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12511,plain,
% 72.98/45.82 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB75) | (~v116(constB75)))),
% 72.98/45.82 inference(quant_inst,[status(thm)],[])).
% 72.98/45.82 tff(12512,plain,
% 72.98/45.82 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB75) | (~v116(constB75))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12511, 12510])).
% 72.98/45.82 tff(12513,plain,
% 72.98/45.82 (v115(constB75)),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12512, 265, 12509])).
% 72.98/45.82 tff(12514,plain,
% 72.98/45.82 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB75) | (~v115(constB75)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB75) | (~v115(constB75)))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12515,plain,
% 72.98/45.82 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB75) | (~v115(constB75)))),
% 72.98/45.82 inference(quant_inst,[status(thm)],[])).
% 72.98/45.82 tff(12516,plain,
% 72.98/45.82 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB75) | (~v115(constB75))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12515, 12514])).
% 72.98/45.82 tff(12517,plain,
% 72.98/45.82 (v114(constB75)),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12516, 276, 12513])).
% 72.98/45.82 tff(12518,plain,
% 72.98/45.82 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB75) | (~v114(constB75)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB75) | (~v114(constB75)))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12519,plain,
% 72.98/45.82 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB75) | (~v114(constB75)))),
% 72.98/45.82 inference(quant_inst,[status(thm)],[])).
% 72.98/45.82 tff(12520,plain,
% 72.98/45.82 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB75) | (~v114(constB75))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12519, 12518])).
% 72.98/45.82 tff(12521,plain,
% 72.98/45.82 (v113(constB75)),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12520, 287, 12517])).
% 72.98/45.82 tff(12522,assumption,(v26(constB74)), introduced(assumption)).
% 72.98/45.82 tff(12523,plain,
% 72.98/45.82 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB74))),
% 72.98/45.82 inference(quant_inst,[status(thm)],[])).
% 72.98/45.82 tff(12524,plain,
% 72.98/45.82 ($false),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12523, 37, 12522])).
% 72.98/45.82 tff(12525,plain,(~v26(constB74)), inference(lemma,lemma(discharge,[]))).
% 72.98/45.82 tff(12526,plain,
% 72.98/45.82 (^[VarNext: $i, VarCurr: $i] : refl((v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))))),
% 72.98/45.82 inference(bind,[status(th)],[])).
% 72.98/45.82 tff(12527,plain,
% 72.98/45.82 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 72.98/45.82 inference(quant_intro,[status(thm)],[12526])).
% 72.98/45.82 tff(12528,plain,
% 72.98/45.82 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12529,plain,
% 72.98/45.82 (^[VarNext: $i, VarCurr: $i] : rewrite(((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))))),
% 72.98/45.82 inference(bind,[status(th)],[])).
% 72.98/45.82 tff(12530,plain,
% 72.98/45.82 (![VarNext: $i, VarCurr: $i] : ((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 72.98/45.82 inference(quant_intro,[status(thm)],[12529])).
% 72.98/45.82 tff(12531,axiom,(![VarNext: $i, VarCurr: $i] : ((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_4_1_2')).
% 72.98/45.82 tff(12532,plain,
% 72.98/45.82 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12531, 12530])).
% 72.98/45.82 tff(12533,plain,
% 72.98/45.82 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12532, 12528])).
% 72.98/45.82 tff(12534,plain,(
% 72.98/45.82 ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 72.98/45.82 inference(skolemize,[status(sab)],[12533])).
% 72.98/45.82 tff(12535,plain,
% 72.98/45.82 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12534, 12527])).
% 72.98/45.82 tff(12536,plain,
% 72.98/45.82 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB74, constB75)) | v26(constB74) | (~v66(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB74, constB75)) | v26(constB74) | (~v66(constB75)))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12537,plain,
% 72.98/45.82 ((v26(constB74) | (~nextState(constB74, constB75)) | (~v66(constB75))) <=> ((~nextState(constB74, constB75)) | v26(constB74) | (~v66(constB75)))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12538,plain,
% 72.98/45.82 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB74) | (~nextState(constB74, constB75)) | (~v66(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB74, constB75)) | v26(constB74) | (~v66(constB75))))),
% 72.98/45.82 inference(monotonicity,[status(thm)],[12537])).
% 72.98/45.82 tff(12539,plain,
% 72.98/45.82 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB74) | (~nextState(constB74, constB75)) | (~v66(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB74, constB75)) | v26(constB74) | (~v66(constB75)))),
% 72.98/45.82 inference(transitivity,[status(thm)],[12538, 12536])).
% 72.98/45.82 tff(12540,plain,
% 72.98/45.82 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB74) | (~nextState(constB74, constB75)) | (~v66(constB75)))),
% 72.98/45.82 inference(quant_inst,[status(thm)],[])).
% 72.98/45.82 tff(12541,plain,
% 72.98/45.82 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB74, constB75)) | v26(constB74) | (~v66(constB75))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12540, 12539])).
% 72.98/45.82 tff(12542,plain,
% 72.98/45.82 (v26(constB74) | (~v66(constB75))),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12541, 12535, 12397])).
% 72.98/45.82 tff(12543,plain,
% 72.98/45.82 (~v66(constB75)),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12542, 12525])).
% 72.98/45.82 tff(12544,assumption,(v18(constB76)), introduced(assumption)).
% 72.98/45.82 tff(12545,plain,
% 72.98/45.82 (^[VarCurr: $i] : refl((~v18(VarCurr)) <=> (~v18(VarCurr)))),
% 72.98/45.82 inference(bind,[status(th)],[])).
% 72.98/45.82 tff(12546,plain,
% 72.98/45.82 (![VarCurr: $i] : (~v18(VarCurr)) <=> ![VarCurr: $i] : (~v18(VarCurr))),
% 72.98/45.82 inference(quant_intro,[status(thm)],[12545])).
% 72.98/45.82 tff(12547,plain,
% 72.98/45.82 (![VarCurr: $i] : (~v18(VarCurr)) <=> ![VarCurr: $i] : (~v18(VarCurr))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12548,axiom,(![VarCurr: $i] : (~v18(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addGlobalAssumption_3_1_1')).
% 72.98/45.82 tff(12549,plain,
% 72.98/45.82 (![VarCurr: $i] : (~v18(VarCurr))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12548, 12547])).
% 72.98/45.82 tff(12550,plain,(
% 72.98/45.82 ![VarCurr: $i] : (~v18(VarCurr))),
% 72.98/45.82 inference(skolemize,[status(sab)],[12549])).
% 72.98/45.82 tff(12551,plain,
% 72.98/45.82 (![VarCurr: $i] : (~v18(VarCurr))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12550, 12546])).
% 72.98/45.82 tff(12552,plain,
% 72.98/45.82 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB76))),
% 72.98/45.82 inference(quant_inst,[status(thm)],[])).
% 72.98/45.82 tff(12553,plain,
% 72.98/45.82 ($false),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12552, 12551, 12544])).
% 72.98/45.82 tff(12554,plain,(~v18(constB76)), inference(lemma,lemma(discharge,[]))).
% 72.98/45.82 tff(12555,plain,
% 72.98/45.82 (v1(constB76) <=> v1(constB76)),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12556,axiom,(v1(constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_76_1')).
% 72.98/45.82 tff(12557,plain,
% 72.98/45.82 (v1(constB76)),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12556, 12555])).
% 72.98/45.82 tff(12558,plain,
% 72.98/45.82 (^[VarCurr: $i] : refl((v22(VarCurr) | (~v1(VarCurr))) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 72.98/45.82 inference(bind,[status(th)],[])).
% 72.98/45.82 tff(12559,plain,
% 72.98/45.82 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 72.98/45.82 inference(quant_intro,[status(thm)],[12558])).
% 72.98/45.82 tff(12560,plain,
% 72.98/45.82 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12561,axiom,(![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_1_1_1_1_1')).
% 72.98/45.82 tff(12562,plain,
% 72.98/45.82 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12561, 12560])).
% 72.98/45.82 tff(12563,plain,(
% 72.98/45.82 ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 72.98/45.82 inference(skolemize,[status(sab)],[12562])).
% 72.98/45.82 tff(12564,plain,
% 72.98/45.82 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12563, 12559])).
% 72.98/45.82 tff(12565,plain,
% 72.98/45.82 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB76) | (~v1(constB76)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB76) | (~v1(constB76)))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12566,plain,
% 72.98/45.82 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB76) | (~v1(constB76)))),
% 72.98/45.82 inference(quant_inst,[status(thm)],[])).
% 72.98/45.82 tff(12567,plain,
% 72.98/45.82 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB76) | (~v1(constB76))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12566, 12565])).
% 72.98/45.82 tff(12568,plain,
% 72.98/45.82 (v22(constB76)),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12567, 12564, 12557])).
% 72.98/45.82 tff(12569,plain,
% 72.98/45.82 (^[VarCurr: $i] : refl(((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)))),
% 72.98/45.82 inference(bind,[status(th)],[])).
% 72.98/45.82 tff(12570,plain,
% 72.98/45.82 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 72.98/45.82 inference(quant_intro,[status(thm)],[12569])).
% 72.98/45.82 tff(12571,plain,
% 72.98/45.82 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12572,plain,
% 72.98/45.82 (^[VarCurr: $i] : rewrite(((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr))) <=> ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)))),
% 72.98/45.82 inference(bind,[status(th)],[])).
% 72.98/45.82 tff(12573,plain,
% 72.98/45.82 (![VarCurr: $i] : ((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr))) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 72.98/45.82 inference(quant_intro,[status(thm)],[12572])).
% 72.98/45.82 tff(12574,axiom,(![VarCurr: $i] : ((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_2_1_1_1')).
% 72.98/45.82 tff(12575,plain,
% 72.98/45.82 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12574, 12573])).
% 72.98/45.82 tff(12576,plain,
% 72.98/45.82 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12575, 12571])).
% 72.98/45.82 tff(12577,plain,(
% 72.98/45.82 ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 72.98/45.82 inference(skolemize,[status(sab)],[12576])).
% 72.98/45.82 tff(12578,plain,
% 72.98/45.82 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12577, 12570])).
% 72.98/45.82 tff(12579,plain,
% 72.98/45.82 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB76)) | (~v22(constB76)) | v18(constB76))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB76)) | (~v22(constB76)) | v18(constB76))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12580,plain,
% 72.98/45.82 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB76)) | (~v22(constB76)) | v18(constB76))),
% 72.98/45.82 inference(quant_inst,[status(thm)],[])).
% 72.98/45.82 tff(12581,plain,
% 72.98/45.82 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB76)) | (~v22(constB76)) | v18(constB76)),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12580, 12579])).
% 72.98/45.82 tff(12582,plain,
% 72.98/45.82 ((~v19(constB76)) | v18(constB76)),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12581, 12578, 12568])).
% 72.98/45.82 tff(12583,plain,
% 72.98/45.82 (~v19(constB76)),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12582, 12554])).
% 72.98/45.82 tff(12584,plain,
% 72.98/45.82 (^[VarCurr: $i] : refl((v13(VarCurr) | v19(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 72.98/45.82 inference(bind,[status(th)],[])).
% 72.98/45.82 tff(12585,plain,
% 72.98/45.82 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 72.98/45.82 inference(quant_intro,[status(thm)],[12584])).
% 72.98/45.82 tff(12586,plain,
% 72.98/45.82 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12587,plain,
% 72.98/45.82 (^[VarCurr: $i] : rewrite((v19(VarCurr) | v13(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 72.98/45.82 inference(bind,[status(th)],[])).
% 72.98/45.82 tff(12588,plain,
% 72.98/45.82 (![VarCurr: $i] : (v19(VarCurr) | v13(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 72.98/45.82 inference(quant_intro,[status(thm)],[12587])).
% 72.98/45.82 tff(12589,axiom,(![VarCurr: $i] : (v19(VarCurr) | v13(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_82_1_1_2')).
% 72.98/45.82 tff(12590,plain,
% 72.98/45.82 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12589, 12588])).
% 72.98/45.82 tff(12591,plain,
% 72.98/45.82 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12590, 12586])).
% 72.98/45.82 tff(12592,plain,(
% 72.98/45.82 ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 72.98/45.82 inference(skolemize,[status(sab)],[12591])).
% 72.98/45.82 tff(12593,plain,
% 72.98/45.82 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12592, 12585])).
% 72.98/45.82 tff(12594,plain,
% 72.98/45.82 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB76) | v19(constB76))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB76) | v19(constB76))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12595,plain,
% 72.98/45.82 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB76) | v19(constB76))),
% 72.98/45.82 inference(quant_inst,[status(thm)],[])).
% 72.98/45.82 tff(12596,plain,
% 72.98/45.82 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB76) | v19(constB76)),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12595, 12594])).
% 72.98/45.82 tff(12597,plain,
% 72.98/45.82 (v13(constB76)),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12596, 12593, 12583])).
% 72.98/45.82 tff(12598,plain,
% 72.98/45.82 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12599,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_75_1')).
% 72.98/45.82 tff(12600,plain,
% 72.98/45.82 (nextState(constB75, constB76)),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12599, 12598])).
% 72.98/45.82 tff(12601,plain,
% 72.98/45.82 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)))),
% 72.98/45.82 inference(bind,[status(th)],[])).
% 72.98/45.82 tff(12602,plain,
% 72.98/45.82 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 72.98/45.82 inference(quant_intro,[status(thm)],[12601])).
% 72.98/45.82 tff(12603,plain,
% 72.98/45.82 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12604,plain,
% 72.98/45.82 (^[VarNext: $i, VarCurr: $i] : rewrite(((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)))),
% 72.98/45.82 inference(bind,[status(th)],[])).
% 72.98/45.82 tff(12605,plain,
% 72.98/45.82 (![VarNext: $i, VarCurr: $i] : ((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 72.98/45.82 inference(quant_intro,[status(thm)],[12604])).
% 72.98/45.82 tff(12606,axiom,(![VarNext: $i, VarCurr: $i] : ((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_20_2')).
% 72.98/45.82 tff(12607,plain,
% 72.98/45.82 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12606, 12605])).
% 72.98/45.82 tff(12608,plain,
% 72.98/45.82 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12607, 12603])).
% 72.98/45.82 tff(12609,plain,(
% 72.98/45.82 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 72.98/45.82 inference(skolemize,[status(sab)],[12608])).
% 72.98/45.82 tff(12610,plain,
% 72.98/45.82 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12609, 12602])).
% 72.98/45.82 tff(12611,plain,
% 72.98/45.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB75, constB76)) | (~v13(constB76)) | v9(constB75))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB75, constB76)) | (~v13(constB76)) | v9(constB75))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12612,plain,
% 72.98/45.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB75, constB76)) | (~v13(constB76)) | v9(constB75))),
% 72.98/45.82 inference(quant_inst,[status(thm)],[])).
% 72.98/45.82 tff(12613,plain,
% 72.98/45.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB75, constB76)) | (~v13(constB76)) | v9(constB75)),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12612, 12611])).
% 72.98/45.82 tff(12614,plain,
% 72.98/45.82 ((~v13(constB76)) | v9(constB75)),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12613, 12610, 12600])).
% 72.98/45.82 tff(12615,plain,
% 72.98/45.82 (v9(constB75)),
% 72.98/45.82 inference(unit_resolution,[status(thm)],[12614, 12597])).
% 72.98/45.82 tff(12616,plain,
% 72.98/45.82 (^[VarCurr: $i] : refl((v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)))),
% 72.98/45.82 inference(bind,[status(th)],[])).
% 72.98/45.82 tff(12617,plain,
% 72.98/45.82 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 72.98/45.82 inference(quant_intro,[status(thm)],[12616])).
% 72.98/45.82 tff(12618,plain,
% 72.98/45.82 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12619,plain,
% 72.98/45.82 (^[VarCurr: $i] : trans(monotonicity(rewrite((v64(VarCurr) | v1(VarCurr)) <=> (v1(VarCurr) | v64(VarCurr))), (((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ((v1(VarCurr) | v64(VarCurr)) | (~v9(VarCurr))))), rewrite(((v1(VarCurr) | v64(VarCurr)) | (~v9(VarCurr))) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))), (((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))))),
% 72.98/45.82 inference(bind,[status(th)],[])).
% 72.98/45.82 tff(12620,plain,
% 72.98/45.82 (![VarCurr: $i] : ((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 72.98/45.82 inference(quant_intro,[status(thm)],[12619])).
% 72.98/45.82 tff(12621,axiom,(![VarCurr: $i] : ((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_11_1_2')).
% 72.98/45.82 tff(12622,plain,
% 72.98/45.82 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12621, 12620])).
% 72.98/45.82 tff(12623,plain,
% 72.98/45.82 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12622, 12618])).
% 72.98/45.82 tff(12624,plain,(
% 72.98/45.82 ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 72.98/45.82 inference(skolemize,[status(sab)],[12623])).
% 72.98/45.82 tff(12625,plain,
% 72.98/45.82 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 72.98/45.82 inference(modus_ponens,[status(thm)],[12624, 12617])).
% 72.98/45.82 tff(12626,plain,
% 72.98/45.82 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB75) | v64(constB75) | (~v9(constB75)))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB75) | v64(constB75) | (~v9(constB75)))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12627,plain,
% 72.98/45.82 ((v1(constB75) | (~v9(constB75)) | v64(constB75)) <=> (v1(constB75) | v64(constB75) | (~v9(constB75)))),
% 72.98/45.82 inference(rewrite,[status(thm)],[])).
% 72.98/45.82 tff(12628,plain,
% 72.98/45.82 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB75) | (~v9(constB75)) | v64(constB75))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB75) | v64(constB75) | (~v9(constB75))))),
% 72.98/45.83 inference(monotonicity,[status(thm)],[12627])).
% 72.98/45.83 tff(12629,plain,
% 72.98/45.83 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB75) | (~v9(constB75)) | v64(constB75))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB75) | v64(constB75) | (~v9(constB75)))),
% 72.98/45.83 inference(transitivity,[status(thm)],[12628, 12626])).
% 72.98/45.83 tff(12630,plain,
% 72.98/45.83 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB75) | (~v9(constB75)) | v64(constB75))),
% 72.98/45.83 inference(quant_inst,[status(thm)],[])).
% 72.98/45.83 tff(12631,plain,
% 72.98/45.83 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB75) | v64(constB75) | (~v9(constB75))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12630, 12629])).
% 72.98/45.83 tff(12632,plain,
% 72.98/45.83 (v64(constB75) | (~v9(constB75))),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12631, 12625, 12394])).
% 72.98/45.83 tff(12633,plain,
% 72.98/45.83 (v64(constB75)),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12632, 12615])).
% 72.98/45.83 tff(12634,plain,
% 72.98/45.83 (^[VarNext: $i] : refl(((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)))),
% 72.98/45.83 inference(bind,[status(th)],[])).
% 72.98/45.83 tff(12635,plain,
% 72.98/45.83 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 72.98/45.83 inference(quant_intro,[status(thm)],[12634])).
% 72.98/45.83 tff(12636,plain,
% 72.98/45.83 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12637,plain,
% 72.98/45.83 (^[VarNext: $i] : rewrite(((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext))) <=> ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)))),
% 72.98/45.83 inference(bind,[status(th)],[])).
% 72.98/45.83 tff(12638,plain,
% 72.98/45.83 (![VarNext: $i] : ((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext))) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 72.98/45.83 inference(quant_intro,[status(thm)],[12637])).
% 72.98/45.83 tff(12639,axiom,(![VarNext: $i] : ((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_3_1_2')).
% 72.98/45.83 tff(12640,plain,
% 72.98/45.83 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12639, 12638])).
% 72.98/45.83 tff(12641,plain,
% 72.98/45.83 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12640, 12636])).
% 72.98/45.83 tff(12642,plain,(
% 72.98/45.83 ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 72.98/45.83 inference(skolemize,[status(sab)],[12641])).
% 72.98/45.83 tff(12643,plain,
% 72.98/45.83 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12642, 12635])).
% 72.98/45.83 tff(12644,plain,
% 72.98/45.83 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB75)) | v66(constB75) | (~v64(constB75)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB75)) | v66(constB75) | (~v64(constB75)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12645,plain,
% 72.98/45.83 (((~v64(constB75)) | (~v60(constB75)) | v66(constB75)) <=> ((~v60(constB75)) | v66(constB75) | (~v64(constB75)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12646,plain,
% 72.98/45.83 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB75)) | (~v60(constB75)) | v66(constB75))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB75)) | v66(constB75) | (~v64(constB75))))),
% 72.98/45.83 inference(monotonicity,[status(thm)],[12645])).
% 72.98/45.83 tff(12647,plain,
% 72.98/45.83 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB75)) | (~v60(constB75)) | v66(constB75))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB75)) | v66(constB75) | (~v64(constB75)))),
% 72.98/45.83 inference(transitivity,[status(thm)],[12646, 12644])).
% 72.98/45.83 tff(12648,plain,
% 72.98/45.83 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB75)) | (~v60(constB75)) | v66(constB75))),
% 72.98/45.83 inference(quant_inst,[status(thm)],[])).
% 72.98/45.83 tff(12649,plain,
% 72.98/45.83 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB75)) | v66(constB75) | (~v64(constB75))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12648, 12647])).
% 72.98/45.83 tff(12650,plain,
% 72.98/45.83 ((~v60(constB75)) | v66(constB75)),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12649, 12643, 12633])).
% 72.98/45.83 tff(12651,plain,
% 72.98/45.83 (~v60(constB75)),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12650, 12543])).
% 72.98/45.83 tff(12652,assumption,(v71(constB75)), introduced(assumption)).
% 72.98/45.83 tff(12653,plain,
% 72.98/45.83 (^[VarCurr: $i] : refl((~v71(VarCurr)) <=> (~v71(VarCurr)))),
% 72.98/45.83 inference(bind,[status(th)],[])).
% 72.98/45.83 tff(12654,plain,
% 72.98/45.83 (![VarCurr: $i] : (~v71(VarCurr)) <=> ![VarCurr: $i] : (~v71(VarCurr))),
% 72.98/45.83 inference(quant_intro,[status(thm)],[12653])).
% 72.98/45.83 tff(12655,plain,
% 72.98/45.83 (![VarCurr: $i] : (~v71(VarCurr)) <=> ![VarCurr: $i] : (~v71(VarCurr))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12656,axiom,(![VarCurr: $i] : (~v71(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addGlobalAssumption_1_1_1_1')).
% 72.98/45.83 tff(12657,plain,
% 72.98/45.83 (![VarCurr: $i] : (~v71(VarCurr))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12656, 12655])).
% 72.98/45.83 tff(12658,plain,(
% 72.98/45.83 ![VarCurr: $i] : (~v71(VarCurr))),
% 72.98/45.83 inference(skolemize,[status(sab)],[12657])).
% 72.98/45.83 tff(12659,plain,
% 72.98/45.83 (![VarCurr: $i] : (~v71(VarCurr))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12658, 12654])).
% 72.98/45.83 tff(12660,plain,
% 72.98/45.83 ((~![VarCurr: $i] : (~v71(VarCurr))) | (~v71(constB75))),
% 72.98/45.83 inference(quant_inst,[status(thm)],[])).
% 72.98/45.83 tff(12661,plain,
% 72.98/45.83 ($false),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12660, 12659, 12652])).
% 72.98/45.83 tff(12662,plain,(~v71(constB75)), inference(lemma,lemma(discharge,[]))).
% 72.98/45.83 tff(12663,plain,
% 72.98/45.83 (^[VarCurr: $i] : refl((v80(VarCurr) | (~v9(VarCurr))) <=> (v80(VarCurr) | (~v9(VarCurr))))),
% 72.98/45.83 inference(bind,[status(th)],[])).
% 72.98/45.83 tff(12664,plain,
% 72.98/45.83 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 72.98/45.83 inference(quant_intro,[status(thm)],[12663])).
% 72.98/45.83 tff(12665,plain,
% 72.98/45.83 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12666,axiom,(![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_15_1_1_1_2')).
% 72.98/45.83 tff(12667,plain,
% 72.98/45.83 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12666, 12665])).
% 72.98/45.83 tff(12668,plain,(
% 72.98/45.83 ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 72.98/45.83 inference(skolemize,[status(sab)],[12667])).
% 72.98/45.83 tff(12669,plain,
% 72.98/45.83 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12668, 12664])).
% 72.98/45.83 tff(12670,plain,
% 72.98/45.83 (((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB75) | (~v9(constB75)))) <=> ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB75) | (~v9(constB75)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12671,plain,
% 72.98/45.83 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB75) | (~v9(constB75)))),
% 72.98/45.83 inference(quant_inst,[status(thm)],[])).
% 72.98/45.83 tff(12672,plain,
% 72.98/45.83 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB75) | (~v9(constB75))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12671, 12670])).
% 72.98/45.83 tff(12673,plain,
% 72.98/45.83 (v80(constB75)),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12672, 12669, 12615])).
% 72.98/45.83 tff(12674,plain,
% 72.98/45.83 (^[VarCurr: $i] : refl((v1(VarCurr) | v78(VarCurr)) <=> (v1(VarCurr) | v78(VarCurr)))),
% 72.98/45.83 inference(bind,[status(th)],[])).
% 72.98/45.83 tff(12675,plain,
% 72.98/45.83 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 72.98/45.83 inference(quant_intro,[status(thm)],[12674])).
% 72.98/45.83 tff(12676,plain,
% 72.98/45.83 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12677,plain,
% 72.98/45.83 (^[VarCurr: $i] : rewrite((v78(VarCurr) | v1(VarCurr)) <=> (v1(VarCurr) | v78(VarCurr)))),
% 72.98/45.83 inference(bind,[status(th)],[])).
% 72.98/45.83 tff(12678,plain,
% 72.98/45.83 (![VarCurr: $i] : (v78(VarCurr) | v1(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 72.98/45.83 inference(quant_intro,[status(thm)],[12677])).
% 72.98/45.83 tff(12679,axiom,(![VarCurr: $i] : (v78(VarCurr) | v1(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_14_1_1_1_1')).
% 72.98/45.83 tff(12680,plain,
% 72.98/45.83 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12679, 12678])).
% 72.98/45.83 tff(12681,plain,
% 72.98/45.83 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12680, 12676])).
% 72.98/45.83 tff(12682,plain,(
% 72.98/45.83 ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 72.98/45.83 inference(skolemize,[status(sab)],[12681])).
% 72.98/45.83 tff(12683,plain,
% 72.98/45.83 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12682, 12675])).
% 72.98/45.83 tff(12684,plain,
% 72.98/45.83 (((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB75) | v78(constB75))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB75) | v78(constB75))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12685,plain,
% 72.98/45.83 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB75) | v78(constB75))),
% 72.98/45.83 inference(quant_inst,[status(thm)],[])).
% 72.98/45.83 tff(12686,plain,
% 72.98/45.83 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB75) | v78(constB75)),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12685, 12684])).
% 72.98/45.83 tff(12687,plain,
% 72.98/45.83 (v78(constB75)),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12686, 12683, 12394])).
% 72.98/45.83 tff(12688,plain,
% 72.98/45.83 (^[VarCurr: $i] : refl(((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)))),
% 72.98/45.83 inference(bind,[status(th)],[])).
% 72.98/45.83 tff(12689,plain,
% 72.98/45.83 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 72.98/45.83 inference(quant_intro,[status(thm)],[12688])).
% 72.98/45.83 tff(12690,plain,
% 72.98/45.83 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12691,plain,
% 72.98/45.83 (^[VarCurr: $i] : rewrite(((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr))) <=> ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)))),
% 72.98/45.83 inference(bind,[status(th)],[])).
% 72.98/45.83 tff(12692,plain,
% 72.98/45.83 (![VarCurr: $i] : ((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr))) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 72.98/45.83 inference(quant_intro,[status(thm)],[12691])).
% 72.98/45.83 tff(12693,axiom,(![VarCurr: $i] : ((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_16_1_1_1')).
% 72.98/45.83 tff(12694,plain,
% 72.98/45.83 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12693, 12692])).
% 72.98/45.83 tff(12695,plain,
% 72.98/45.83 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12694, 12690])).
% 72.98/45.83 tff(12696,plain,(
% 72.98/45.83 ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 72.98/45.83 inference(skolemize,[status(sab)],[12695])).
% 72.98/45.83 tff(12697,plain,
% 72.98/45.83 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12696, 12689])).
% 72.98/45.83 tff(12698,plain,
% 72.98/45.83 (((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB75)) | (~v80(constB75)) | v76(constB75))) <=> ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB75)) | (~v80(constB75)) | v76(constB75))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12699,plain,
% 72.98/45.83 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB75)) | (~v80(constB75)) | v76(constB75))),
% 72.98/45.83 inference(quant_inst,[status(thm)],[])).
% 72.98/45.83 tff(12700,plain,
% 72.98/45.83 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB75)) | (~v80(constB75)) | v76(constB75)),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12699, 12698])).
% 72.98/45.83 tff(12701,plain,
% 72.98/45.83 ((~v80(constB75)) | v76(constB75)),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12700, 12697, 12687])).
% 72.98/45.83 tff(12702,plain,
% 72.98/45.83 (v76(constB75)),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12701, 12673])).
% 72.98/45.83 tff(12703,plain,
% 72.98/45.83 (^[VarCurr: $i] : refl(((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)))),
% 72.98/45.83 inference(bind,[status(th)],[])).
% 72.98/45.83 tff(12704,plain,
% 72.98/45.83 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 72.98/45.83 inference(quant_intro,[status(thm)],[12703])).
% 72.98/45.83 tff(12705,plain,
% 72.98/45.83 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12706,plain,
% 72.98/45.83 (^[VarCurr: $i] : rewrite(((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr))) <=> ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)))),
% 72.98/45.83 inference(bind,[status(th)],[])).
% 72.98/45.83 tff(12707,plain,
% 72.98/45.83 (![VarCurr: $i] : ((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr))) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 72.98/45.83 inference(quant_intro,[status(thm)],[12706])).
% 72.98/45.83 tff(12708,axiom,(![VarCurr: $i] : ((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_17_1_1_1')).
% 72.98/45.83 tff(12709,plain,
% 72.98/45.83 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12708, 12707])).
% 72.98/45.83 tff(12710,plain,
% 72.98/45.83 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12709, 12705])).
% 72.98/45.83 tff(12711,plain,(
% 72.98/45.83 ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 72.98/45.83 inference(skolemize,[status(sab)],[12710])).
% 72.98/45.83 tff(12712,plain,
% 72.98/45.83 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12711, 12704])).
% 72.98/45.83 tff(12713,plain,
% 72.98/45.83 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (v71(constB75) | (~v72(constB75)) | (~v76(constB75)))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | v71(constB75) | (~v72(constB75)) | (~v76(constB75)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12714,plain,
% 72.98/45.83 (((~v72(constB75)) | (~v76(constB75)) | v71(constB75)) <=> (v71(constB75) | (~v72(constB75)) | (~v76(constB75)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12715,plain,
% 72.98/45.83 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB75)) | (~v76(constB75)) | v71(constB75))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (v71(constB75) | (~v72(constB75)) | (~v76(constB75))))),
% 72.98/45.83 inference(monotonicity,[status(thm)],[12714])).
% 72.98/45.83 tff(12716,plain,
% 72.98/45.83 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB75)) | (~v76(constB75)) | v71(constB75))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | v71(constB75) | (~v72(constB75)) | (~v76(constB75)))),
% 72.98/45.83 inference(transitivity,[status(thm)],[12715, 12713])).
% 72.98/45.83 tff(12717,plain,
% 72.98/45.83 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB75)) | (~v76(constB75)) | v71(constB75))),
% 72.98/45.83 inference(quant_inst,[status(thm)],[])).
% 72.98/45.83 tff(12718,plain,
% 72.98/45.83 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | v71(constB75) | (~v72(constB75)) | (~v76(constB75))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12717, 12716])).
% 72.98/45.83 tff(12719,plain,
% 72.98/45.83 (v71(constB75) | (~v72(constB75))),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12718, 12712, 12702])).
% 72.98/45.83 tff(12720,plain,
% 72.98/45.83 (~v72(constB75)),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12719, 12662])).
% 72.98/45.83 tff(12721,plain,
% 72.98/45.83 (^[VarCurr: $i] : refl((v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 72.98/45.83 inference(bind,[status(th)],[])).
% 72.98/45.83 tff(12722,plain,
% 72.98/45.83 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 72.98/45.83 inference(quant_intro,[status(thm)],[12721])).
% 72.98/45.83 tff(12723,plain,
% 72.98/45.83 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12724,plain,
% 72.98/45.83 (^[VarCurr: $i] : rewrite(((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 72.98/45.83 inference(bind,[status(th)],[])).
% 72.98/45.83 tff(12725,plain,
% 72.98/45.83 (![VarCurr: $i] : ((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 72.98/45.83 inference(quant_intro,[status(thm)],[12724])).
% 72.98/45.83 tff(12726,axiom,(![VarCurr: $i] : ((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_13_1_1_1_1')).
% 72.98/45.83 tff(12727,plain,
% 72.98/45.83 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12726, 12725])).
% 72.98/45.83 tff(12728,plain,
% 72.98/45.83 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12727, 12723])).
% 72.98/45.83 tff(12729,plain,(
% 72.98/45.83 ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 72.98/45.83 inference(skolemize,[status(sab)],[12728])).
% 72.98/45.83 tff(12730,plain,
% 72.98/45.83 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12729, 12722])).
% 72.98/45.83 tff(12731,plain,
% 72.98/45.83 (((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB75) | v72(constB75) | v74(constB75))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB75) | v72(constB75) | v74(constB75))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12732,plain,
% 72.98/45.83 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB75) | v72(constB75) | v74(constB75))),
% 72.98/45.83 inference(quant_inst,[status(thm)],[])).
% 72.98/45.83 tff(12733,plain,
% 72.98/45.83 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB75) | v72(constB75) | v74(constB75)),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12732, 12731])).
% 72.98/45.83 tff(12734,plain,
% 72.98/45.83 (v72(constB75) | v74(constB75)),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12733, 12730, 12394])).
% 72.98/45.83 tff(12735,plain,
% 72.98/45.83 (v74(constB75)),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12734, 12720])).
% 72.98/45.83 tff(12736,plain,
% 72.98/45.83 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))))),
% 72.98/45.83 inference(bind,[status(th)],[])).
% 72.98/45.83 tff(12737,plain,
% 72.98/45.83 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 72.98/45.83 inference(quant_intro,[status(thm)],[12736])).
% 72.98/45.83 tff(12738,plain,
% 72.98/45.83 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12739,plain,
% 72.98/45.83 (^[VarCurr: $i] : rewrite(((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr))) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))))),
% 72.98/45.83 inference(bind,[status(th)],[])).
% 72.98/45.83 tff(12740,plain,
% 72.98/45.83 (![VarCurr: $i] : ((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 72.98/45.83 inference(quant_intro,[status(thm)],[12739])).
% 72.98/45.83 tff(12741,axiom,(![VarCurr: $i] : ((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_16_1_2')).
% 72.98/45.83 tff(12742,plain,
% 72.98/45.83 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12741, 12740])).
% 72.98/45.83 tff(12743,plain,
% 72.98/45.83 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12742, 12738])).
% 72.98/45.83 tff(12744,plain,(
% 72.98/45.83 ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 72.98/45.83 inference(skolemize,[status(sab)],[12743])).
% 72.98/45.83 tff(12745,plain,
% 72.98/45.83 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12744, 12737])).
% 72.98/45.83 tff(12746,plain,
% 72.98/45.83 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB75) | (~v26(constB75)) | (~v74(constB75)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB75) | (~v26(constB75)) | (~v74(constB75)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12747,plain,
% 72.98/45.83 (((~v26(constB75)) | v60(constB75) | (~v74(constB75))) <=> (v60(constB75) | (~v26(constB75)) | (~v74(constB75)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12748,plain,
% 72.98/45.83 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB75)) | v60(constB75) | (~v74(constB75)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB75) | (~v26(constB75)) | (~v74(constB75))))),
% 72.98/45.83 inference(monotonicity,[status(thm)],[12747])).
% 72.98/45.83 tff(12749,plain,
% 72.98/45.83 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB75)) | v60(constB75) | (~v74(constB75)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB75) | (~v26(constB75)) | (~v74(constB75)))),
% 72.98/45.83 inference(transitivity,[status(thm)],[12748, 12746])).
% 72.98/45.83 tff(12750,plain,
% 72.98/45.83 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB75)) | v60(constB75) | (~v74(constB75)))),
% 72.98/45.83 inference(quant_inst,[status(thm)],[])).
% 72.98/45.83 tff(12751,plain,
% 72.98/45.83 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB75) | (~v26(constB75)) | (~v74(constB75))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12750, 12749])).
% 72.98/45.83 tff(12752,plain,
% 72.98/45.83 (v60(constB75) | (~v26(constB75))),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12751, 12745, 12735])).
% 72.98/45.83 tff(12753,plain,
% 72.98/45.83 (~v26(constB75)),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12752, 12651])).
% 72.98/45.83 tff(12754,plain,
% 72.98/45.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | v112(constB75) | (~v113(constB75)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | v112(constB75) | (~v113(constB75)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12755,plain,
% 72.98/45.83 ((v26(constB75) | (~v113(constB75)) | v112(constB75)) <=> (v26(constB75) | v112(constB75) | (~v113(constB75)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12756,plain,
% 72.98/45.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | v112(constB75) | (~v113(constB75))))),
% 72.98/45.83 inference(monotonicity,[status(thm)],[12755])).
% 72.98/45.83 tff(12757,plain,
% 72.98/45.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | v112(constB75) | (~v113(constB75)))),
% 72.98/45.83 inference(transitivity,[status(thm)],[12756, 12754])).
% 72.98/45.83 tff(12758,plain,
% 72.98/45.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))),
% 72.98/45.83 inference(quant_inst,[status(thm)],[])).
% 72.98/45.83 tff(12759,plain,
% 72.98/45.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | v112(constB75) | (~v113(constB75))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12758, 12757])).
% 72.98/45.83 tff(12760,plain,
% 72.98/45.83 (v112(constB75) | (~v113(constB75))),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12759, 301, 12753])).
% 72.98/45.83 tff(12761,plain,
% 72.98/45.83 (v112(constB75)),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12760, 12521])).
% 72.98/45.83 tff(12762,plain,
% 72.98/45.83 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB75) | (~v112(constB75)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB75) | (~v112(constB75)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12763,plain,
% 72.98/45.83 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB75) | (~v112(constB75)))),
% 72.98/45.83 inference(quant_inst,[status(thm)],[])).
% 72.98/45.83 tff(12764,plain,
% 72.98/45.83 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB75) | (~v112(constB75))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12763, 12762])).
% 72.98/45.83 tff(12765,plain,
% 72.98/45.83 (v108(constB75)),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12764, 210, 12761])).
% 72.98/45.83 tff(12766,plain,
% 72.98/45.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12767,plain,
% 72.98/45.83 (((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76)) <=> ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12768,plain,
% 72.98/45.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75))))),
% 72.98/45.83 inference(monotonicity,[status(thm)],[12767])).
% 72.98/45.83 tff(12769,plain,
% 72.98/45.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 72.98/45.83 inference(transitivity,[status(thm)],[12768, 12766])).
% 72.98/45.83 tff(12770,plain,
% 72.98/45.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))),
% 72.98/45.83 inference(quant_inst,[status(thm)],[])).
% 72.98/45.83 tff(12771,plain,
% 72.98/45.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12770, 12769])).
% 72.98/45.83 tff(12772,plain,
% 72.98/45.83 (v110(constB76) | (~v108(constB75))),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12771, 317, 12600])).
% 72.98/45.83 tff(12773,plain,
% 72.98/45.83 (v110(constB76)),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12772, 12765])).
% 72.98/45.83 tff(12774,plain,
% 72.98/45.83 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12775,plain,
% 72.98/45.83 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))),
% 72.98/45.83 inference(quant_inst,[status(thm)],[])).
% 72.98/45.83 tff(12776,plain,
% 72.98/45.83 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12775, 12774])).
% 72.98/45.83 tff(12777,plain,
% 72.98/45.83 (~v104(constB76)),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12776, 335, 12600, 12394])).
% 72.98/45.83 tff(12778,plain,
% 72.98/45.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12779,plain,
% 72.98/45.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))),
% 72.98/45.83 inference(quant_inst,[status(thm)],[])).
% 72.98/45.83 tff(12780,plain,
% 72.98/45.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v102(constB76) | v104(constB76)),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12779, 12778])).
% 72.98/45.83 tff(12781,plain,
% 72.98/45.83 (v102(constB76) | v104(constB76)),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12780, 349, 12600])).
% 72.98/45.83 tff(12782,plain,
% 72.98/45.83 (v102(constB76)),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12781, 12777])).
% 72.98/45.83 tff(12783,plain,
% 72.98/45.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12784,plain,
% 72.98/45.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))),
% 72.98/45.83 inference(quant_inst,[status(thm)],[])).
% 72.98/45.83 tff(12785,plain,
% 72.98/45.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12784, 12783])).
% 72.98/45.83 tff(12786,plain,
% 72.98/45.83 (v101(constB76) | (~v102(constB76))),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12785, 367, 12600, 12557])).
% 72.98/45.83 tff(12787,plain,
% 72.98/45.83 (v101(constB76)),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12786, 12782])).
% 72.98/45.83 tff(12788,plain,
% 72.98/45.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12789,plain,
% 72.98/45.83 (((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76)) <=> ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12790,plain,
% 72.98/45.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76))))),
% 72.98/45.83 inference(monotonicity,[status(thm)],[12789])).
% 72.98/45.83 tff(12791,plain,
% 72.98/45.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 72.98/45.83 inference(transitivity,[status(thm)],[12790, 12788])).
% 72.98/45.83 tff(12792,plain,
% 72.98/45.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))),
% 72.98/45.83 inference(quant_inst,[status(thm)],[])).
% 72.98/45.83 tff(12793,plain,
% 72.98/45.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12792, 12791])).
% 72.98/45.83 tff(12794,plain,
% 72.98/45.83 (v100(constB76) | (~v101(constB76)) | (~v110(constB76))),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12793, 382, 12600])).
% 72.98/45.83 tff(12795,plain,
% 72.98/45.83 (v100(constB76) | (~v110(constB76))),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12794, 12787])).
% 72.98/45.83 tff(12796,plain,
% 72.98/45.83 (v100(constB76)),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12795, 12773])).
% 72.98/45.83 tff(12797,plain,
% 72.98/45.83 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB75)) | (~v130(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB75)) | (~v130(constB75, bitIndex2)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12798,plain,
% 72.98/45.83 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB75)) | (~v130(constB75, bitIndex2)))),
% 72.98/45.83 inference(quant_inst,[status(thm)],[])).
% 72.98/45.83 tff(12799,plain,
% 72.98/45.83 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB75)) | (~v130(constB75, bitIndex2))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12798, 12797])).
% 72.98/45.83 tff(12800,plain,
% 72.98/45.83 (~v130(constB75, bitIndex2)),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12799, 730, 12497])).
% 72.98/45.83 tff(12801,plain,
% 72.98/45.83 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12802,plain,
% 72.98/45.83 ((v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2))) <=> ((~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12803,plain,
% 72.98/45.83 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2)))),
% 72.98/45.83 inference(monotonicity,[status(thm)],[12802])).
% 72.98/45.83 tff(12804,plain,
% 72.98/45.83 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))),
% 72.98/45.83 inference(transitivity,[status(thm)],[12803, 12801])).
% 72.98/45.83 tff(12805,plain,
% 72.98/45.83 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2)))),
% 72.98/45.83 inference(quant_inst,[status(thm)],[])).
% 72.98/45.83 tff(12806,plain,
% 72.98/45.83 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2)),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12805, 12804])).
% 72.98/45.83 tff(12807,plain,
% 72.98/45.83 ((~v127(constB75, bitIndex2)) | v130(constB75, bitIndex2)),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12806, 470, 12753])).
% 72.98/45.83 tff(12808,plain,
% 72.98/45.83 (~v127(constB75, bitIndex2)),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12807, 12800])).
% 72.98/45.83 tff(12809,plain,
% 72.98/45.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12810,plain,
% 72.98/45.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2)))),
% 72.98/45.83 inference(quant_inst,[status(thm)],[])).
% 72.98/45.83 tff(12811,plain,
% 72.98/45.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12810, 12809])).
% 72.98/45.83 tff(12812,plain,
% 72.98/45.83 (v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2))),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12811, 488, 12600])).
% 72.98/45.83 tff(12813,plain,
% 72.98/45.83 (~v129(constB76, bitIndex2)),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12812, 12808])).
% 72.98/45.83 tff(12814,plain,
% 72.98/45.83 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12815,plain,
% 72.98/45.83 (((~v90(constB76, bitIndex2)) | (~v100(constB76)) | v129(constB76, bitIndex2)) <=> ((~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12816,plain,
% 72.98/45.83 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB76, bitIndex2)) | (~v100(constB76)) | v129(constB76, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76))))),
% 72.98/45.83 inference(monotonicity,[status(thm)],[12815])).
% 72.98/45.83 tff(12817,plain,
% 72.98/45.83 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB76, bitIndex2)) | (~v100(constB76)) | v129(constB76, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))),
% 72.98/45.83 inference(transitivity,[status(thm)],[12816, 12814])).
% 72.98/45.83 tff(12818,plain,
% 72.98/45.83 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB76, bitIndex2)) | (~v100(constB76)) | v129(constB76, bitIndex2))),
% 72.98/45.83 inference(quant_inst,[status(thm)],[])).
% 72.98/45.83 tff(12819,plain,
% 72.98/45.83 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12818, 12817])).
% 72.98/45.83 tff(12820,plain,
% 72.98/45.83 ((~v90(constB76, bitIndex2)) | (~v100(constB76))),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12819, 503, 12813])).
% 72.98/45.83 tff(12821,plain,
% 72.98/45.83 (~v90(constB76, bitIndex2)),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12820, 12796])).
% 72.98/45.83 tff(12822,plain,
% 72.98/45.83 ((~v1(constB77)) <=> (~v1(constB77))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12823,axiom,(~v1(constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_77_1_1')).
% 72.98/45.83 tff(12824,plain,
% 72.98/45.83 (~v1(constB77)),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12823, 12822])).
% 72.98/45.83 tff(12825,plain,
% 72.98/45.83 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12826,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_76_1')).
% 72.98/45.83 tff(12827,plain,
% 72.98/45.83 (nextState(constB76, constB77)),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12826, 12825])).
% 72.98/45.83 tff(12828,plain,
% 72.98/45.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12829,plain,
% 72.98/45.83 (((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77)) <=> (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12830,plain,
% 72.98/45.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77))))),
% 72.98/45.83 inference(monotonicity,[status(thm)],[12829])).
% 72.98/45.83 tff(12831,plain,
% 72.98/45.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 72.98/45.83 inference(transitivity,[status(thm)],[12830, 12828])).
% 72.98/45.83 tff(12832,plain,
% 72.98/45.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))),
% 72.98/45.83 inference(quant_inst,[status(thm)],[])).
% 72.98/45.83 tff(12833,plain,
% 72.98/45.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12832, 12831])).
% 72.98/45.83 tff(12834,plain,
% 72.98/45.83 (~v101(constB77)),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12833, 56, 12827, 12824])).
% 72.98/45.83 tff(12835,plain,
% 72.98/45.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12836,plain,
% 72.98/45.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))),
% 72.98/45.83 inference(quant_inst,[status(thm)],[])).
% 72.98/45.83 tff(12837,plain,
% 72.98/45.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77))),
% 72.98/45.83 inference(modus_ponens,[status(thm)],[12836, 12835])).
% 72.98/45.83 tff(12838,plain,
% 72.98/45.83 (v101(constB77) | (~v100(constB77))),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12837, 73, 12827])).
% 72.98/45.83 tff(12839,plain,
% 72.98/45.83 (~v100(constB77)),
% 72.98/45.83 inference(unit_resolution,[status(thm)],[12838, 12834])).
% 72.98/45.83 tff(12840,plain,
% 72.98/45.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12841,plain,
% 72.98/45.83 (((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2))) <=> (v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 72.98/45.83 inference(rewrite,[status(thm)],[])).
% 72.98/45.83 tff(12842,plain,
% 72.98/45.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2))))),
% 72.98/45.84 inference(monotonicity,[status(thm)],[12841])).
% 72.98/45.84 tff(12843,plain,
% 72.98/45.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 72.98/45.84 inference(transitivity,[status(thm)],[12842, 12840])).
% 72.98/45.84 tff(12844,plain,
% 72.98/45.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(12845,plain,
% 72.98/45.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2))),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12844, 12843])).
% 72.98/45.84 tff(12846,plain,
% 72.98/45.84 (v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2))),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12845, 88, 12827])).
% 72.98/45.84 tff(12847,plain,
% 72.98/45.84 (v90(constB76, bitIndex2) | (~v90(constB77, bitIndex2))),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12846, 12839])).
% 72.98/45.84 tff(12848,plain,
% 72.98/45.84 (~v90(constB77, bitIndex2)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12847, 12821])).
% 72.98/45.84 tff(12849,plain,
% 72.98/45.84 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB75)) | v130(constB75, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB75)) | v130(constB75, bitIndex1))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12850,plain,
% 72.98/45.84 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB75)) | v130(constB75, bitIndex1))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(12851,plain,
% 72.98/45.84 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB75)) | v130(constB75, bitIndex1)),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12850, 12849])).
% 72.98/45.84 tff(12852,plain,
% 72.98/45.84 (v130(constB75, bitIndex1)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12851, 810, 12497])).
% 72.98/45.84 tff(12853,plain,
% 72.98/45.84 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB75) | (~v130(constB75, bitIndex1)) | v127(constB75, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB75) | (~v130(constB75, bitIndex1)) | v127(constB75, bitIndex1))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12854,plain,
% 72.98/45.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB75) | (~v130(constB75, bitIndex1)) | v127(constB75, bitIndex1))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(12855,plain,
% 72.98/45.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB75) | (~v130(constB75, bitIndex1)) | v127(constB75, bitIndex1)),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12854, 12853])).
% 72.98/45.84 tff(12856,plain,
% 72.98/45.84 ((~v130(constB75, bitIndex1)) | v127(constB75, bitIndex1)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12855, 824, 12753])).
% 72.98/45.84 tff(12857,plain,
% 72.98/45.84 (v127(constB75, bitIndex1)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12856, 12852])).
% 72.98/45.84 tff(12858,plain,
% 72.98/45.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB75, constB76)) | (~v127(constB75, bitIndex1)) | v129(constB76, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB75, constB76)) | (~v127(constB75, bitIndex1)) | v129(constB76, bitIndex1))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12859,plain,
% 72.98/45.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB75, constB76)) | (~v127(constB75, bitIndex1)) | v129(constB76, bitIndex1))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(12860,plain,
% 72.98/45.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB75, constB76)) | (~v127(constB75, bitIndex1)) | v129(constB76, bitIndex1)),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12859, 12858])).
% 72.98/45.84 tff(12861,plain,
% 72.98/45.84 ((~v127(constB75, bitIndex1)) | v129(constB76, bitIndex1)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12860, 839, 12600])).
% 72.98/45.84 tff(12862,plain,
% 72.98/45.84 (v129(constB76, bitIndex1)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12861, 12857])).
% 72.98/45.84 tff(12863,plain,
% 72.98/45.84 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76)))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12864,plain,
% 72.98/45.84 ((v90(constB76, bitIndex1) | (~v100(constB76)) | (~v129(constB76, bitIndex1))) <=> (v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76)))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12865,plain,
% 72.98/45.84 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~v100(constB76)) | (~v129(constB76, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76))))),
% 72.98/45.84 inference(monotonicity,[status(thm)],[12864])).
% 72.98/45.84 tff(12866,plain,
% 72.98/45.84 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~v100(constB76)) | (~v129(constB76, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76)))),
% 72.98/45.84 inference(transitivity,[status(thm)],[12865, 12863])).
% 72.98/45.84 tff(12867,plain,
% 72.98/45.84 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB76, bitIndex1) | (~v100(constB76)) | (~v129(constB76, bitIndex1)))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(12868,plain,
% 72.98/45.84 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1)) | (~v100(constB76))),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12867, 12866])).
% 72.98/45.84 tff(12869,plain,
% 72.98/45.84 (v90(constB76, bitIndex1) | (~v100(constB76))),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12868, 854, 12862])).
% 72.98/45.84 tff(12870,plain,
% 72.98/45.84 (v90(constB76, bitIndex1)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12869, 12796])).
% 72.98/45.84 tff(12871,plain,
% 72.98/45.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12872,plain,
% 72.98/45.84 (((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1)) <=> ((~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12873,plain,
% 72.98/45.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1)))),
% 72.98/45.84 inference(monotonicity,[status(thm)],[12872])).
% 72.98/45.84 tff(12874,plain,
% 72.98/45.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1))),
% 72.98/45.84 inference(transitivity,[status(thm)],[12873, 12871])).
% 72.98/45.84 tff(12875,plain,
% 72.98/45.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(12876,plain,
% 72.98/45.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex1)),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12875, 12874])).
% 72.98/45.84 tff(12877,plain,
% 72.98/45.84 ((~v90(constB76, bitIndex1)) | v100(constB77) | v90(constB77, bitIndex1)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12876, 872, 12827])).
% 72.98/45.84 tff(12878,plain,
% 72.98/45.84 ((~v90(constB76, bitIndex1)) | v90(constB77, bitIndex1)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12877, 12839])).
% 72.98/45.84 tff(12879,plain,
% 72.98/45.84 (v90(constB77, bitIndex1)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12878, 12870])).
% 72.98/45.84 tff(12880,plain,
% 72.98/45.84 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB75)) | (~v130(constB75, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB75)) | (~v130(constB75, bitIndex0)))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12881,plain,
% 72.98/45.84 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB75)) | (~v130(constB75, bitIndex0)))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(12882,plain,
% 72.98/45.84 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB75)) | (~v130(constB75, bitIndex0))),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12881, 12880])).
% 72.98/45.84 tff(12883,plain,
% 72.98/45.84 (~v130(constB75, bitIndex0)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12882, 891, 12497])).
% 72.98/45.84 tff(12884,plain,
% 72.98/45.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12885,plain,
% 72.98/45.84 ((v26(constB75) | v130(constB75, bitIndex0) | (~v127(constB75, bitIndex0))) <=> ((~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12886,plain,
% 72.98/45.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB75) | v130(constB75, bitIndex0) | (~v127(constB75, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0)))),
% 72.98/45.84 inference(monotonicity,[status(thm)],[12885])).
% 72.98/45.84 tff(12887,plain,
% 72.98/45.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB75) | v130(constB75, bitIndex0) | (~v127(constB75, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0))),
% 72.98/45.84 inference(transitivity,[status(thm)],[12886, 12884])).
% 72.98/45.84 tff(12888,plain,
% 72.98/45.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB75) | v130(constB75, bitIndex0) | (~v127(constB75, bitIndex0)))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(12889,plain,
% 72.98/45.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB75, bitIndex0)) | v26(constB75) | v130(constB75, bitIndex0)),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12888, 12887])).
% 72.98/45.84 tff(12890,plain,
% 72.98/45.84 ((~v127(constB75, bitIndex0)) | v130(constB75, bitIndex0)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12889, 905, 12753])).
% 72.98/45.84 tff(12891,plain,
% 72.98/45.84 (~v127(constB75, bitIndex0)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12890, 12883])).
% 72.98/45.84 tff(12892,plain,
% 72.98/45.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex0) | (~v129(constB76, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex0) | (~v129(constB76, bitIndex0)))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12893,plain,
% 72.98/45.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex0) | (~v129(constB76, bitIndex0)))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(12894,plain,
% 72.98/45.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex0) | (~v129(constB76, bitIndex0))),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12893, 12892])).
% 72.98/45.84 tff(12895,plain,
% 72.98/45.84 (v127(constB75, bitIndex0) | (~v129(constB76, bitIndex0))),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12894, 923, 12600])).
% 72.98/45.84 tff(12896,plain,
% 72.98/45.84 (~v129(constB76, bitIndex0)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12895, 12891])).
% 72.98/45.84 tff(12897,plain,
% 72.98/45.84 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76)))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12898,plain,
% 72.98/45.84 (((~v90(constB76, bitIndex0)) | (~v100(constB76)) | v129(constB76, bitIndex0)) <=> ((~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76)))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12899,plain,
% 72.98/45.84 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | (~v100(constB76)) | v129(constB76, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76))))),
% 72.98/45.84 inference(monotonicity,[status(thm)],[12898])).
% 72.98/45.84 tff(12900,plain,
% 72.98/45.84 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | (~v100(constB76)) | v129(constB76, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76)))),
% 72.98/45.84 inference(transitivity,[status(thm)],[12899, 12897])).
% 72.98/45.84 tff(12901,plain,
% 72.98/45.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB76, bitIndex0)) | (~v100(constB76)) | v129(constB76, bitIndex0))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(12902,plain,
% 72.98/45.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0) | (~v100(constB76))),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12901, 12900])).
% 72.98/45.84 tff(12903,plain,
% 72.98/45.84 ((~v90(constB76, bitIndex0)) | (~v100(constB76))),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12902, 938, 12896])).
% 72.98/45.84 tff(12904,plain,
% 72.98/45.84 (~v90(constB76, bitIndex0)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12903, 12796])).
% 72.98/45.84 tff(12905,plain,
% 72.98/45.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0)))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12906,plain,
% 72.98/45.84 (((~nextState(constB76, constB77)) | v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0))) <=> (v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0)))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12907,plain,
% 72.98/45.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0))))),
% 72.98/45.84 inference(monotonicity,[status(thm)],[12906])).
% 72.98/45.84 tff(12908,plain,
% 72.98/45.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0)))),
% 72.98/45.84 inference(transitivity,[status(thm)],[12907, 12905])).
% 72.98/45.84 tff(12909,plain,
% 72.98/45.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB76, constB77)) | v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0)))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(12910,plain,
% 72.98/45.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex0))),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12909, 12908])).
% 72.98/45.84 tff(12911,plain,
% 72.98/45.84 (v90(constB76, bitIndex0) | v100(constB77) | (~v90(constB77, bitIndex0))),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12910, 130, 12827])).
% 72.98/45.84 tff(12912,plain,
% 72.98/45.84 (v90(constB76, bitIndex0) | (~v90(constB77, bitIndex0))),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12911, 12839])).
% 72.98/45.84 tff(12913,plain,
% 72.98/45.84 (~v90(constB77, bitIndex0)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12912, 12904])).
% 72.98/45.84 tff(12914,assumption,(~v121(constB77)), introduced(assumption)).
% 72.98/45.84 tff(12915,plain,
% 72.98/45.84 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v121(constB77))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v121(constB77))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12916,plain,
% 72.98/45.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v121(constB77))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(12917,plain,
% 72.98/45.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2) | v121(constB77)),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12916, 12915])).
% 72.98/45.84 tff(12918,plain,
% 72.98/45.84 (v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)) | v90(constB77, bitIndex2)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12917, 965, 12914])).
% 72.98/45.84 tff(12919,plain,
% 72.98/45.84 ($false),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12918, 12913, 12879, 12848])).
% 72.98/45.84 tff(12920,plain,((~v120(constB75)) | v121(constB77)), inference(lemma,lemma(discharge,[]))).
% 72.98/45.84 tff(12921,plain,
% 72.98/45.84 (v121(constB77)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12920, 12496])).
% 72.98/45.84 tff(12922,plain,
% 72.98/45.84 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB77) | (~v121(constB77)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB77) | (~v121(constB77)))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12923,plain,
% 72.98/45.84 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB77) | (~v121(constB77)))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(12924,plain,
% 72.98/45.84 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB77) | (~v121(constB77))),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12923, 12922])).
% 72.98/45.84 tff(12925,plain,
% 72.98/45.84 (v117(constB77)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12924, 976, 12921])).
% 72.98/45.84 tff(12926,plain,
% 72.98/45.84 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB77) | (~v117(constB77)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB77) | (~v117(constB77)))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12927,plain,
% 72.98/45.84 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB77) | (~v117(constB77)))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(12928,plain,
% 72.98/45.84 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB77) | (~v117(constB77))),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12927, 12926])).
% 72.98/45.84 tff(12929,plain,
% 72.98/45.84 (v116(constB77)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12928, 254, 12925])).
% 72.98/45.84 tff(12930,plain,
% 72.98/45.84 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB77) | (~v116(constB77)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB77) | (~v116(constB77)))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12931,plain,
% 72.98/45.84 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB77) | (~v116(constB77)))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(12932,plain,
% 72.98/45.84 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB77) | (~v116(constB77))),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12931, 12930])).
% 72.98/45.84 tff(12933,plain,
% 72.98/45.84 (v115(constB77)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12932, 265, 12929])).
% 72.98/45.84 tff(12934,plain,
% 72.98/45.84 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB77) | (~v115(constB77)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB77) | (~v115(constB77)))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12935,plain,
% 72.98/45.84 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB77) | (~v115(constB77)))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(12936,plain,
% 72.98/45.84 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB77) | (~v115(constB77))),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12935, 12934])).
% 72.98/45.84 tff(12937,plain,
% 72.98/45.84 (v114(constB77)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12936, 276, 12933])).
% 72.98/45.84 tff(12938,plain,
% 72.98/45.84 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB77) | (~v114(constB77)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB77) | (~v114(constB77)))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12939,plain,
% 72.98/45.84 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB77) | (~v114(constB77)))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(12940,plain,
% 72.98/45.84 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB77) | (~v114(constB77))),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12939, 12938])).
% 72.98/45.84 tff(12941,plain,
% 72.98/45.84 (v113(constB77)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12940, 287, 12937])).
% 72.98/45.84 tff(12942,assumption,(v26(constB77)), introduced(assumption)).
% 72.98/45.84 tff(12943,plain,
% 72.98/45.84 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB77))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(12944,plain,
% 72.98/45.84 ($false),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12943, 37, 12942])).
% 72.98/45.84 tff(12945,plain,(~v26(constB77)), inference(lemma,lemma(discharge,[]))).
% 72.98/45.84 tff(12946,plain,
% 72.98/45.84 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | (~v113(constB77)) | v112(constB77))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12947,plain,
% 72.98/45.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(12948,plain,
% 72.98/45.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | (~v113(constB77)) | v112(constB77)),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12947, 12946])).
% 72.98/45.84 tff(12949,plain,
% 72.98/45.84 ((~v113(constB77)) | v112(constB77)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12948, 301, 12945])).
% 72.98/45.84 tff(12950,plain,
% 72.98/45.84 (v112(constB77)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12949, 12941])).
% 72.98/45.84 tff(12951,plain,
% 72.98/45.84 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB77) | (~v112(constB77)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB77) | (~v112(constB77)))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12952,plain,
% 72.98/45.84 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB77) | (~v112(constB77)))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(12953,plain,
% 72.98/45.84 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB77) | (~v112(constB77))),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12952, 12951])).
% 72.98/45.84 tff(12954,plain,
% 72.98/45.84 (v108(constB77)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12953, 210, 12950])).
% 72.98/45.84 tff(12955,plain,
% 72.98/45.84 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12956,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_77_1')).
% 72.98/45.84 tff(12957,plain,
% 72.98/45.84 (nextState(constB77, constB78)),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12956, 12955])).
% 72.98/45.84 tff(12958,plain,
% 72.98/45.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12959,plain,
% 72.98/45.84 (((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78)) <=> ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12960,plain,
% 72.98/45.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77))))),
% 72.98/45.84 inference(monotonicity,[status(thm)],[12959])).
% 72.98/45.84 tff(12961,plain,
% 72.98/45.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 72.98/45.84 inference(transitivity,[status(thm)],[12960, 12958])).
% 72.98/45.84 tff(12962,plain,
% 72.98/45.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(12963,plain,
% 72.98/45.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77))),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12962, 12961])).
% 72.98/45.84 tff(12964,plain,
% 72.98/45.84 (v110(constB78) | (~v108(constB77))),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12963, 317, 12957])).
% 72.98/45.84 tff(12965,plain,
% 72.98/45.84 (v110(constB78)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12964, 12954])).
% 72.98/45.84 tff(12966,plain,
% 72.98/45.84 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12967,plain,
% 72.98/45.84 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(12968,plain,
% 72.98/45.84 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78))),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12967, 12966])).
% 72.98/45.84 tff(12969,plain,
% 72.98/45.84 (~v104(constB78)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12968, 335, 12957, 12824])).
% 72.98/45.84 tff(12970,plain,
% 72.98/45.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12971,plain,
% 72.98/45.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(12972,plain,
% 72.98/45.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v102(constB78) | v104(constB78)),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12971, 12970])).
% 72.98/45.84 tff(12973,plain,
% 72.98/45.84 (v102(constB78) | v104(constB78)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12972, 349, 12957])).
% 72.98/45.84 tff(12974,plain,
% 72.98/45.84 (v102(constB78)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12973, 12969])).
% 72.98/45.84 tff(12975,plain,
% 72.98/45.84 (v1(constB78) <=> v1(constB78)),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12976,axiom,(v1(constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_78_1')).
% 72.98/45.84 tff(12977,plain,
% 72.98/45.84 (v1(constB78)),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12976, 12975])).
% 72.98/45.84 tff(12978,plain,
% 72.98/45.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12979,plain,
% 72.98/45.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(12980,plain,
% 72.98/45.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78))),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12979, 12978])).
% 72.98/45.84 tff(12981,plain,
% 72.98/45.84 (v101(constB78) | (~v102(constB78))),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12980, 367, 12957, 12977])).
% 72.98/45.84 tff(12982,plain,
% 72.98/45.84 (v101(constB78)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12981, 12974])).
% 72.98/45.84 tff(12983,plain,
% 72.98/45.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12984,plain,
% 72.98/45.84 (((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78)) <=> ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12985,plain,
% 72.98/45.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78))))),
% 72.98/45.84 inference(monotonicity,[status(thm)],[12984])).
% 72.98/45.84 tff(12986,plain,
% 72.98/45.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 72.98/45.84 inference(transitivity,[status(thm)],[12985, 12983])).
% 72.98/45.84 tff(12987,plain,
% 72.98/45.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(12988,plain,
% 72.98/45.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78))),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12987, 12986])).
% 72.98/45.84 tff(12989,plain,
% 72.98/45.84 (v100(constB78) | (~v101(constB78)) | (~v110(constB78))),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12988, 382, 12957])).
% 72.98/45.84 tff(12990,plain,
% 72.98/45.84 (v100(constB78) | (~v110(constB78))),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12989, 12982])).
% 72.98/45.84 tff(12991,plain,
% 72.98/45.84 (v100(constB78)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12990, 12965])).
% 72.98/45.84 tff(12992,plain,
% 72.98/45.84 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB77)) | (~v130(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB77)) | (~v130(constB77, bitIndex2)))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12993,plain,
% 72.98/45.84 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB77)) | (~v130(constB77, bitIndex2)))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(12994,plain,
% 72.98/45.84 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB77)) | (~v130(constB77, bitIndex2))),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[12993, 12992])).
% 72.98/45.84 tff(12995,plain,
% 72.98/45.84 (~v130(constB77, bitIndex2)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[12994, 1059, 12921])).
% 72.98/45.84 tff(12996,plain,
% 72.98/45.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12997,plain,
% 72.98/45.84 ((v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2))) <=> ((~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))),
% 72.98/45.84 inference(rewrite,[status(thm)],[])).
% 72.98/45.84 tff(12998,plain,
% 72.98/45.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2)))),
% 72.98/45.84 inference(monotonicity,[status(thm)],[12997])).
% 72.98/45.84 tff(12999,plain,
% 72.98/45.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))),
% 72.98/45.84 inference(transitivity,[status(thm)],[12998, 12996])).
% 72.98/45.84 tff(13000,plain,
% 72.98/45.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2)))),
% 72.98/45.84 inference(quant_inst,[status(thm)],[])).
% 72.98/45.84 tff(13001,plain,
% 72.98/45.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2)),
% 72.98/45.84 inference(modus_ponens,[status(thm)],[13000, 12999])).
% 72.98/45.84 tff(13002,plain,
% 72.98/45.84 ((~v127(constB77, bitIndex2)) | v130(constB77, bitIndex2)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[13001, 470, 12945])).
% 72.98/45.84 tff(13003,plain,
% 72.98/45.84 (~v127(constB77, bitIndex2)),
% 72.98/45.84 inference(unit_resolution,[status(thm)],[13002, 12995])).
% 72.98/45.84 tff(13004,plain,
% 72.98/45.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2)))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13005,plain,
% 72.98/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2)))),
% 72.98/45.85 inference(quant_inst,[status(thm)],[])).
% 72.98/45.85 tff(13006,plain,
% 72.98/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2))),
% 72.98/45.85 inference(modus_ponens,[status(thm)],[13005, 13004])).
% 72.98/45.85 tff(13007,plain,
% 72.98/45.85 (v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2))),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13006, 488, 12957])).
% 72.98/45.85 tff(13008,plain,
% 72.98/45.85 (~v129(constB78, bitIndex2)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13007, 13003])).
% 72.98/45.85 tff(13009,plain,
% 72.98/45.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13010,plain,
% 72.98/45.85 (((~v90(constB78, bitIndex2)) | (~v100(constB78)) | v129(constB78, bitIndex2)) <=> ((~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13011,plain,
% 72.98/45.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB78, bitIndex2)) | (~v100(constB78)) | v129(constB78, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78))))),
% 72.98/45.85 inference(monotonicity,[status(thm)],[13010])).
% 72.98/45.85 tff(13012,plain,
% 72.98/45.85 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB78, bitIndex2)) | (~v100(constB78)) | v129(constB78, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))),
% 72.98/45.85 inference(transitivity,[status(thm)],[13011, 13009])).
% 72.98/45.85 tff(13013,plain,
% 72.98/45.85 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB78, bitIndex2)) | (~v100(constB78)) | v129(constB78, bitIndex2))),
% 72.98/45.85 inference(quant_inst,[status(thm)],[])).
% 72.98/45.85 tff(13014,plain,
% 72.98/45.85 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78))),
% 72.98/45.85 inference(modus_ponens,[status(thm)],[13013, 13012])).
% 72.98/45.85 tff(13015,plain,
% 72.98/45.85 ((~v90(constB78, bitIndex2)) | (~v100(constB78))),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13014, 503, 13008])).
% 72.98/45.85 tff(13016,plain,
% 72.98/45.85 (~v90(constB78, bitIndex2)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13015, 12991])).
% 72.98/45.85 tff(13017,plain,
% 72.98/45.85 ((~v1(constB79)) <=> (~v1(constB79))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13018,axiom,(~v1(constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_79_1_1')).
% 72.98/45.85 tff(13019,plain,
% 72.98/45.85 (~v1(constB79)),
% 72.98/45.85 inference(modus_ponens,[status(thm)],[13018, 13017])).
% 72.98/45.85 tff(13020,plain,
% 72.98/45.85 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13021,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_78_1')).
% 72.98/45.85 tff(13022,plain,
% 72.98/45.85 (nextState(constB78, constB79)),
% 72.98/45.85 inference(modus_ponens,[status(thm)],[13021, 13020])).
% 72.98/45.85 tff(13023,plain,
% 72.98/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13024,plain,
% 72.98/45.85 (((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79)) <=> (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13025,plain,
% 72.98/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79))))),
% 72.98/45.85 inference(monotonicity,[status(thm)],[13024])).
% 72.98/45.85 tff(13026,plain,
% 72.98/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 72.98/45.85 inference(transitivity,[status(thm)],[13025, 13023])).
% 72.98/45.85 tff(13027,plain,
% 72.98/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))),
% 72.98/45.85 inference(quant_inst,[status(thm)],[])).
% 72.98/45.85 tff(13028,plain,
% 72.98/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79))),
% 72.98/45.85 inference(modus_ponens,[status(thm)],[13027, 13026])).
% 72.98/45.85 tff(13029,plain,
% 72.98/45.85 (~v101(constB79)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13028, 56, 13022, 13019])).
% 72.98/45.85 tff(13030,plain,
% 72.98/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13031,plain,
% 72.98/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))),
% 72.98/45.85 inference(quant_inst,[status(thm)],[])).
% 72.98/45.85 tff(13032,plain,
% 72.98/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79))),
% 72.98/45.85 inference(modus_ponens,[status(thm)],[13031, 13030])).
% 72.98/45.85 tff(13033,plain,
% 72.98/45.85 (v101(constB79) | (~v100(constB79))),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13032, 73, 13022])).
% 72.98/45.85 tff(13034,plain,
% 72.98/45.85 (~v100(constB79)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13033, 13029])).
% 72.98/45.85 tff(13035,plain,
% 72.98/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13036,plain,
% 72.98/45.85 (((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2))) <=> (v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13037,plain,
% 72.98/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2))))),
% 72.98/45.85 inference(monotonicity,[status(thm)],[13036])).
% 72.98/45.85 tff(13038,plain,
% 72.98/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 72.98/45.85 inference(transitivity,[status(thm)],[13037, 13035])).
% 72.98/45.85 tff(13039,plain,
% 72.98/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 72.98/45.85 inference(quant_inst,[status(thm)],[])).
% 72.98/45.85 tff(13040,plain,
% 72.98/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2))),
% 72.98/45.85 inference(modus_ponens,[status(thm)],[13039, 13038])).
% 72.98/45.85 tff(13041,plain,
% 72.98/45.85 (v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2))),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13040, 88, 13022])).
% 72.98/45.85 tff(13042,plain,
% 72.98/45.85 (v90(constB78, bitIndex2) | (~v90(constB79, bitIndex2))),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13041, 13034])).
% 72.98/45.85 tff(13043,plain,
% 72.98/45.85 (~v90(constB79, bitIndex2)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13042, 13016])).
% 72.98/45.85 tff(13044,plain,
% 72.98/45.85 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB77)) | v130(constB77, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB77)) | v130(constB77, bitIndex1))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13045,plain,
% 72.98/45.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB77)) | v130(constB77, bitIndex1))),
% 72.98/45.85 inference(quant_inst,[status(thm)],[])).
% 72.98/45.85 tff(13046,plain,
% 72.98/45.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB77)) | v130(constB77, bitIndex1)),
% 72.98/45.85 inference(modus_ponens,[status(thm)],[13045, 13044])).
% 72.98/45.85 tff(13047,plain,
% 72.98/45.85 (v130(constB77, bitIndex1)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13046, 1121, 12921])).
% 72.98/45.85 tff(13048,plain,
% 72.98/45.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13049,plain,
% 72.98/45.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1))),
% 72.98/45.85 inference(quant_inst,[status(thm)],[])).
% 72.98/45.85 tff(13050,plain,
% 72.98/45.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1)),
% 72.98/45.85 inference(modus_ponens,[status(thm)],[13049, 13048])).
% 72.98/45.85 tff(13051,plain,
% 72.98/45.85 ((~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13050, 824, 12945])).
% 72.98/45.85 tff(13052,plain,
% 72.98/45.85 (v127(constB77, bitIndex1)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13051, 13047])).
% 72.98/45.85 tff(13053,plain,
% 72.98/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13054,plain,
% 72.98/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1))),
% 72.98/45.85 inference(quant_inst,[status(thm)],[])).
% 72.98/45.85 tff(13055,plain,
% 72.98/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1)),
% 72.98/45.85 inference(modus_ponens,[status(thm)],[13054, 13053])).
% 72.98/45.85 tff(13056,plain,
% 72.98/45.85 ((~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13055, 839, 12957])).
% 72.98/45.85 tff(13057,plain,
% 72.98/45.85 (v129(constB78, bitIndex1)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13056, 13052])).
% 72.98/45.85 tff(13058,plain,
% 72.98/45.85 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13059,plain,
% 72.98/45.85 ((v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1))) <=> (v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13060,plain,
% 72.98/45.85 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78))))),
% 72.98/45.85 inference(monotonicity,[status(thm)],[13059])).
% 72.98/45.85 tff(13061,plain,
% 72.98/45.85 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))),
% 72.98/45.85 inference(transitivity,[status(thm)],[13060, 13058])).
% 72.98/45.85 tff(13062,plain,
% 72.98/45.85 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1)))),
% 72.98/45.85 inference(quant_inst,[status(thm)],[])).
% 72.98/45.85 tff(13063,plain,
% 72.98/45.85 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78))),
% 72.98/45.85 inference(modus_ponens,[status(thm)],[13062, 13061])).
% 72.98/45.85 tff(13064,plain,
% 72.98/45.85 (v90(constB78, bitIndex1) | (~v100(constB78))),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13063, 854, 13057])).
% 72.98/45.85 tff(13065,plain,
% 72.98/45.85 (v90(constB78, bitIndex1)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13064, 12991])).
% 72.98/45.85 tff(13066,plain,
% 72.98/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13067,plain,
% 72.98/45.85 (((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1)) <=> ((~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13068,plain,
% 72.98/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1)))),
% 72.98/45.85 inference(monotonicity,[status(thm)],[13067])).
% 72.98/45.85 tff(13069,plain,
% 72.98/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))),
% 72.98/45.85 inference(transitivity,[status(thm)],[13068, 13066])).
% 72.98/45.85 tff(13070,plain,
% 72.98/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1))),
% 72.98/45.85 inference(quant_inst,[status(thm)],[])).
% 72.98/45.85 tff(13071,plain,
% 72.98/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1)),
% 72.98/45.85 inference(modus_ponens,[status(thm)],[13070, 13069])).
% 72.98/45.85 tff(13072,plain,
% 72.98/45.85 ((~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13071, 872, 13022])).
% 72.98/45.85 tff(13073,plain,
% 72.98/45.85 ((~v90(constB78, bitIndex1)) | v90(constB79, bitIndex1)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13072, 13034])).
% 72.98/45.85 tff(13074,plain,
% 72.98/45.85 (v90(constB79, bitIndex1)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13073, 13065])).
% 72.98/45.85 tff(13075,plain,
% 72.98/45.85 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB77)) | v130(constB77, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB77)) | v130(constB77, bitIndex0))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13076,plain,
% 72.98/45.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB77)) | v130(constB77, bitIndex0))),
% 72.98/45.85 inference(quant_inst,[status(thm)],[])).
% 72.98/45.85 tff(13077,plain,
% 72.98/45.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB77)) | v130(constB77, bitIndex0)),
% 72.98/45.85 inference(modus_ponens,[status(thm)],[13076, 13075])).
% 72.98/45.85 tff(13078,plain,
% 72.98/45.85 (v130(constB77, bitIndex0)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13077, 1162, 12921])).
% 72.98/45.85 tff(13079,plain,
% 72.98/45.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB77) | (~v130(constB77, bitIndex0)) | v127(constB77, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB77) | (~v130(constB77, bitIndex0)) | v127(constB77, bitIndex0))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13080,plain,
% 72.98/45.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB77) | (~v130(constB77, bitIndex0)) | v127(constB77, bitIndex0))),
% 72.98/45.85 inference(quant_inst,[status(thm)],[])).
% 72.98/45.85 tff(13081,plain,
% 72.98/45.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB77) | (~v130(constB77, bitIndex0)) | v127(constB77, bitIndex0)),
% 72.98/45.85 inference(modus_ponens,[status(thm)],[13080, 13079])).
% 72.98/45.85 tff(13082,plain,
% 72.98/45.85 ((~v130(constB77, bitIndex0)) | v127(constB77, bitIndex0)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13081, 179, 12945])).
% 72.98/45.85 tff(13083,plain,
% 72.98/45.85 (v127(constB77, bitIndex0)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13082, 13078])).
% 72.98/45.85 tff(13084,plain,
% 72.98/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex0)) | v129(constB78, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex0)) | v129(constB78, bitIndex0))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13085,plain,
% 72.98/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex0)) | v129(constB78, bitIndex0))),
% 72.98/45.85 inference(quant_inst,[status(thm)],[])).
% 72.98/45.85 tff(13086,plain,
% 72.98/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex0)) | v129(constB78, bitIndex0)),
% 72.98/45.85 inference(modus_ponens,[status(thm)],[13085, 13084])).
% 72.98/45.85 tff(13087,plain,
% 72.98/45.85 ((~v127(constB77, bitIndex0)) | v129(constB78, bitIndex0)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13086, 197, 12957])).
% 72.98/45.85 tff(13088,plain,
% 72.98/45.85 (v129(constB78, bitIndex0)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13087, 13083])).
% 72.98/45.85 tff(13089,plain,
% 72.98/45.85 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78)))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13090,plain,
% 72.98/45.85 ((v90(constB78, bitIndex0) | (~v100(constB78)) | (~v129(constB78, bitIndex0))) <=> (v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78)))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13091,plain,
% 72.98/45.85 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~v100(constB78)) | (~v129(constB78, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78))))),
% 72.98/45.85 inference(monotonicity,[status(thm)],[13090])).
% 72.98/45.85 tff(13092,plain,
% 72.98/45.85 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~v100(constB78)) | (~v129(constB78, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78)))),
% 72.98/45.85 inference(transitivity,[status(thm)],[13091, 13089])).
% 72.98/45.85 tff(13093,plain,
% 72.98/45.85 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB78, bitIndex0) | (~v100(constB78)) | (~v129(constB78, bitIndex0)))),
% 72.98/45.85 inference(quant_inst,[status(thm)],[])).
% 72.98/45.85 tff(13094,plain,
% 72.98/45.85 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0)) | (~v100(constB78))),
% 72.98/45.85 inference(modus_ponens,[status(thm)],[13093, 13092])).
% 72.98/45.85 tff(13095,plain,
% 72.98/45.85 (v90(constB78, bitIndex0) | (~v100(constB78))),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13094, 401, 13088])).
% 72.98/45.85 tff(13096,plain,
% 72.98/45.85 (v90(constB78, bitIndex0)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13095, 12991])).
% 72.98/45.85 tff(13097,plain,
% 72.98/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13098,plain,
% 72.98/45.85 (((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex0)) | v100(constB79) | v90(constB79, bitIndex0)) <=> ((~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13099,plain,
% 72.98/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex0)) | v100(constB79) | v90(constB79, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0)))),
% 72.98/45.85 inference(monotonicity,[status(thm)],[13098])).
% 72.98/45.85 tff(13100,plain,
% 72.98/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex0)) | v100(constB79) | v90(constB79, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0))),
% 72.98/45.85 inference(transitivity,[status(thm)],[13099, 13097])).
% 72.98/45.85 tff(13101,plain,
% 72.98/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex0)) | v100(constB79) | v90(constB79, bitIndex0))),
% 72.98/45.85 inference(quant_inst,[status(thm)],[])).
% 72.98/45.85 tff(13102,plain,
% 72.98/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex0)),
% 72.98/45.85 inference(modus_ponens,[status(thm)],[13101, 13100])).
% 72.98/45.85 tff(13103,plain,
% 72.98/45.85 ((~v90(constB78, bitIndex0)) | v100(constB79) | v90(constB79, bitIndex0)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13102, 437, 13022])).
% 72.98/45.85 tff(13104,plain,
% 72.98/45.85 ((~v90(constB78, bitIndex0)) | v90(constB79, bitIndex0)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13103, 13034])).
% 72.98/45.85 tff(13105,plain,
% 72.98/45.85 (v90(constB79, bitIndex0)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13104, 13096])).
% 72.98/45.85 tff(13106,plain,
% 72.98/45.85 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v122(constB79))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v122(constB79))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13107,plain,
% 72.98/45.85 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v122(constB79))),
% 72.98/45.85 inference(quant_inst,[status(thm)],[])).
% 72.98/45.85 tff(13108,plain,
% 72.98/45.85 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v122(constB79)),
% 72.98/45.85 inference(modus_ponens,[status(thm)],[13107, 13106])).
% 72.98/45.85 tff(13109,plain,
% 72.98/45.85 (v122(constB79)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13108, 1203, 13105, 13074, 13043])).
% 72.98/45.85 tff(13110,plain,
% 72.98/45.85 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB79) | (~v122(constB79)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB79) | (~v122(constB79)))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13111,plain,
% 72.98/45.85 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB79) | (~v122(constB79)))),
% 72.98/45.85 inference(quant_inst,[status(thm)],[])).
% 72.98/45.85 tff(13112,plain,
% 72.98/45.85 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB79) | (~v122(constB79))),
% 72.98/45.85 inference(modus_ponens,[status(thm)],[13111, 13110])).
% 72.98/45.85 tff(13113,plain,
% 72.98/45.85 (v116(constB79)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13112, 1214, 13109])).
% 72.98/45.85 tff(13114,plain,
% 72.98/45.85 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB79) | (~v116(constB79)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB79) | (~v116(constB79)))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13115,plain,
% 72.98/45.85 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB79) | (~v116(constB79)))),
% 72.98/45.85 inference(quant_inst,[status(thm)],[])).
% 72.98/45.85 tff(13116,plain,
% 72.98/45.85 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB79) | (~v116(constB79))),
% 72.98/45.85 inference(modus_ponens,[status(thm)],[13115, 13114])).
% 72.98/45.85 tff(13117,plain,
% 72.98/45.85 (v115(constB79)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13116, 265, 13113])).
% 72.98/45.85 tff(13118,plain,
% 72.98/45.85 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB79) | (~v115(constB79)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB79) | (~v115(constB79)))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13119,plain,
% 72.98/45.85 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB79) | (~v115(constB79)))),
% 72.98/45.85 inference(quant_inst,[status(thm)],[])).
% 72.98/45.85 tff(13120,plain,
% 72.98/45.85 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB79) | (~v115(constB79))),
% 72.98/45.85 inference(modus_ponens,[status(thm)],[13119, 13118])).
% 72.98/45.85 tff(13121,plain,
% 72.98/45.85 (v114(constB79)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13120, 276, 13117])).
% 72.98/45.85 tff(13122,plain,
% 72.98/45.85 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB79) | (~v114(constB79)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB79) | (~v114(constB79)))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13123,plain,
% 72.98/45.85 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB79) | (~v114(constB79)))),
% 72.98/45.85 inference(quant_inst,[status(thm)],[])).
% 72.98/45.85 tff(13124,plain,
% 72.98/45.85 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB79) | (~v114(constB79))),
% 72.98/45.85 inference(modus_ponens,[status(thm)],[13123, 13122])).
% 72.98/45.85 tff(13125,plain,
% 72.98/45.85 (v113(constB79)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13124, 287, 13121])).
% 72.98/45.85 tff(13126,plain,
% 72.98/45.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | v112(constB79) | (~v113(constB79)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | v112(constB79) | (~v113(constB79)))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13127,plain,
% 72.98/45.85 ((v26(constB79) | (~v113(constB79)) | v112(constB79)) <=> (v26(constB79) | v112(constB79) | (~v113(constB79)))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13128,plain,
% 72.98/45.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | v112(constB79) | (~v113(constB79))))),
% 72.98/45.85 inference(monotonicity,[status(thm)],[13127])).
% 72.98/45.85 tff(13129,plain,
% 72.98/45.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | v112(constB79) | (~v113(constB79)))),
% 72.98/45.85 inference(transitivity,[status(thm)],[13128, 13126])).
% 72.98/45.85 tff(13130,plain,
% 72.98/45.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))),
% 72.98/45.85 inference(quant_inst,[status(thm)],[])).
% 72.98/45.85 tff(13131,plain,
% 72.98/45.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | v112(constB79) | (~v113(constB79))),
% 72.98/45.85 inference(modus_ponens,[status(thm)],[13130, 13129])).
% 72.98/45.85 tff(13132,plain,
% 72.98/45.85 (v26(constB79) | v112(constB79)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13131, 301, 13125])).
% 72.98/45.85 tff(13133,plain,
% 72.98/45.85 (v112(constB79)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13132, 7984])).
% 72.98/45.85 tff(13134,plain,
% 72.98/45.85 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB79) | (~v112(constB79)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB79) | (~v112(constB79)))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13135,plain,
% 72.98/45.85 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB79) | (~v112(constB79)))),
% 72.98/45.85 inference(quant_inst,[status(thm)],[])).
% 72.98/45.85 tff(13136,plain,
% 72.98/45.85 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB79) | (~v112(constB79))),
% 72.98/45.85 inference(modus_ponens,[status(thm)],[13135, 13134])).
% 72.98/45.85 tff(13137,plain,
% 72.98/45.85 (v108(constB79)),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13136, 210, 13133])).
% 72.98/45.85 tff(13138,plain,
% 72.98/45.85 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13139,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_79_1')).
% 72.98/45.85 tff(13140,plain,
% 72.98/45.85 (nextState(constB79, constB80)),
% 72.98/45.85 inference(modus_ponens,[status(thm)],[13139, 13138])).
% 72.98/45.85 tff(13141,plain,
% 72.98/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13142,plain,
% 72.98/45.85 (((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80)) <=> ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 72.98/45.85 inference(rewrite,[status(thm)],[])).
% 72.98/45.85 tff(13143,plain,
% 72.98/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79))))),
% 72.98/45.85 inference(monotonicity,[status(thm)],[13142])).
% 72.98/45.85 tff(13144,plain,
% 72.98/45.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 72.98/45.85 inference(transitivity,[status(thm)],[13143, 13141])).
% 72.98/45.85 tff(13145,plain,
% 72.98/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))),
% 72.98/45.85 inference(quant_inst,[status(thm)],[])).
% 72.98/45.85 tff(13146,plain,
% 72.98/45.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79))),
% 72.98/45.85 inference(modus_ponens,[status(thm)],[13145, 13144])).
% 72.98/45.85 tff(13147,plain,
% 72.98/45.85 (v110(constB80) | (~v108(constB79))),
% 72.98/45.85 inference(unit_resolution,[status(thm)],[13146, 317, 13140])).
% 72.98/45.86 tff(13148,plain,
% 72.98/45.86 (v110(constB80)),
% 72.98/45.86 inference(unit_resolution,[status(thm)],[13147, 13137])).
% 72.98/45.86 tff(13149,plain,
% 72.98/45.86 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))),
% 72.98/45.86 inference(rewrite,[status(thm)],[])).
% 72.98/45.86 tff(13150,plain,
% 72.98/45.86 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))),
% 72.98/45.86 inference(quant_inst,[status(thm)],[])).
% 72.98/45.86 tff(13151,plain,
% 72.98/45.86 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80))),
% 72.98/45.86 inference(modus_ponens,[status(thm)],[13150, 13149])).
% 72.98/45.86 tff(13152,plain,
% 72.98/45.86 (~v104(constB80)),
% 72.98/45.86 inference(unit_resolution,[status(thm)],[13151, 335, 13140, 13019])).
% 72.98/45.86 tff(13153,plain,
% 72.98/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))),
% 72.98/45.86 inference(rewrite,[status(thm)],[])).
% 72.98/45.86 tff(13154,plain,
% 72.98/45.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))),
% 72.98/45.86 inference(quant_inst,[status(thm)],[])).
% 72.98/45.86 tff(13155,plain,
% 72.98/45.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v102(constB80) | v104(constB80)),
% 72.98/45.86 inference(modus_ponens,[status(thm)],[13154, 13153])).
% 72.98/45.86 tff(13156,plain,
% 72.98/45.86 (v102(constB80) | v104(constB80)),
% 72.98/45.86 inference(unit_resolution,[status(thm)],[13155, 349, 13140])).
% 72.98/45.86 tff(13157,plain,
% 72.98/45.86 (v102(constB80)),
% 72.98/45.86 inference(unit_resolution,[status(thm)],[13156, 13152])).
% 72.98/45.86 tff(13158,plain,
% 72.98/45.86 (v1(constB80) <=> v1(constB80)),
% 72.98/45.86 inference(rewrite,[status(thm)],[])).
% 72.98/45.86 tff(13159,axiom,(v1(constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_80_1')).
% 72.98/45.86 tff(13160,plain,
% 72.98/45.86 (v1(constB80)),
% 72.98/45.86 inference(modus_ponens,[status(thm)],[13159, 13158])).
% 72.98/45.86 tff(13161,plain,
% 72.98/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))),
% 72.98/45.86 inference(rewrite,[status(thm)],[])).
% 72.98/45.86 tff(13162,plain,
% 72.98/45.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))),
% 72.98/45.86 inference(quant_inst,[status(thm)],[])).
% 72.98/45.86 tff(13163,plain,
% 72.98/45.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80))),
% 72.98/45.86 inference(modus_ponens,[status(thm)],[13162, 13161])).
% 72.98/45.86 tff(13164,plain,
% 72.98/45.86 (v101(constB80) | (~v102(constB80))),
% 72.98/45.86 inference(unit_resolution,[status(thm)],[13163, 367, 13140, 13160])).
% 72.98/45.86 tff(13165,plain,
% 72.98/45.86 (v101(constB80)),
% 72.98/45.86 inference(unit_resolution,[status(thm)],[13164, 13157])).
% 72.98/45.86 tff(13166,plain,
% 72.98/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 72.98/45.86 inference(rewrite,[status(thm)],[])).
% 72.98/45.86 tff(13167,plain,
% 72.98/45.86 (((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80)) <=> ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 72.98/45.86 inference(rewrite,[status(thm)],[])).
% 72.98/45.86 tff(13168,plain,
% 72.98/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80))))),
% 72.98/45.86 inference(monotonicity,[status(thm)],[13167])).
% 72.98/45.86 tff(13169,plain,
% 72.98/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 72.98/45.86 inference(transitivity,[status(thm)],[13168, 13166])).
% 72.98/45.86 tff(13170,plain,
% 72.98/45.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))),
% 72.98/45.86 inference(quant_inst,[status(thm)],[])).
% 72.98/45.86 tff(13171,plain,
% 72.98/45.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80))),
% 72.98/45.86 inference(modus_ponens,[status(thm)],[13170, 13169])).
% 72.98/45.86 tff(13172,plain,
% 72.98/45.86 (v100(constB80) | (~v101(constB80)) | (~v110(constB80))),
% 72.98/45.86 inference(unit_resolution,[status(thm)],[13171, 382, 13140])).
% 72.98/45.86 tff(13173,plain,
% 72.98/45.86 (v100(constB80) | (~v110(constB80))),
% 72.98/45.86 inference(unit_resolution,[status(thm)],[13172, 13165])).
% 72.98/45.86 tff(13174,plain,
% 72.98/45.86 (v100(constB80)),
% 72.98/45.86 inference(unit_resolution,[status(thm)],[13173, 13148])).
% 72.98/45.86 tff(13175,plain,
% 72.98/45.86 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB79)) | v130(constB79, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB79)) | v130(constB79, bitIndex2))),
% 72.98/45.86 inference(rewrite,[status(thm)],[])).
% 72.98/45.86 tff(13176,plain,
% 72.98/45.86 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB79)) | v130(constB79, bitIndex2))),
% 72.98/45.86 inference(quant_inst,[status(thm)],[])).
% 72.98/45.86 tff(13177,plain,
% 72.98/45.86 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB79)) | v130(constB79, bitIndex2)),
% 72.98/45.86 inference(modus_ponens,[status(thm)],[13176, 13175])).
% 72.98/45.86 tff(13178,plain,
% 72.98/45.86 (v130(constB79, bitIndex2)),
% 72.98/45.86 inference(unit_resolution,[status(thm)],[13177, 1290, 13109])).
% 72.98/45.86 tff(13179,plain,
% 72.98/45.86 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB79) | (~v130(constB79, bitIndex2)) | v127(constB79, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB79) | (~v130(constB79, bitIndex2)) | v127(constB79, bitIndex2))),
% 72.98/45.86 inference(rewrite,[status(thm)],[])).
% 72.98/45.86 tff(13180,plain,
% 72.98/45.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB79) | (~v130(constB79, bitIndex2)) | v127(constB79, bitIndex2))),
% 72.98/45.86 inference(quant_inst,[status(thm)],[])).
% 72.98/45.86 tff(13181,plain,
% 72.98/45.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB79) | (~v130(constB79, bitIndex2)) | v127(constB79, bitIndex2)),
% 72.98/45.86 inference(modus_ponens,[status(thm)],[13180, 13179])).
% 72.98/45.86 tff(13182,plain,
% 72.98/45.86 (v26(constB79) | v127(constB79, bitIndex2)),
% 72.98/45.86 inference(unit_resolution,[status(thm)],[13181, 1304, 13178])).
% 72.98/45.86 tff(13183,plain,
% 72.98/45.86 (v127(constB79, bitIndex2)),
% 72.98/45.86 inference(unit_resolution,[status(thm)],[13182, 7984])).
% 72.98/45.86 tff(13184,plain,
% 72.98/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB79, constB80)) | (~v127(constB79, bitIndex2)) | v129(constB80, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB79, constB80)) | (~v127(constB79, bitIndex2)) | v129(constB80, bitIndex2))),
% 72.98/45.86 inference(rewrite,[status(thm)],[])).
% 72.98/45.86 tff(13185,plain,
% 72.98/45.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB79, constB80)) | (~v127(constB79, bitIndex2)) | v129(constB80, bitIndex2))),
% 72.98/45.86 inference(quant_inst,[status(thm)],[])).
% 72.98/45.86 tff(13186,plain,
% 72.98/45.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB79, constB80)) | (~v127(constB79, bitIndex2)) | v129(constB80, bitIndex2)),
% 72.98/45.86 inference(modus_ponens,[status(thm)],[13185, 13184])).
% 72.98/45.86 tff(13187,plain,
% 72.98/45.86 ((~v127(constB79, bitIndex2)) | v129(constB80, bitIndex2)),
% 72.98/45.86 inference(unit_resolution,[status(thm)],[13186, 1319, 13140])).
% 72.98/45.86 tff(13188,plain,
% 72.98/45.86 (v129(constB80, bitIndex2)),
% 72.98/45.86 inference(unit_resolution,[status(thm)],[13187, 13183])).
% 72.98/45.86 tff(13189,plain,
% 72.98/45.86 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80)))),
% 72.98/45.86 inference(rewrite,[status(thm)],[])).
% 72.98/45.86 tff(13190,plain,
% 72.98/45.86 ((v90(constB80, bitIndex2) | (~v100(constB80)) | (~v129(constB80, bitIndex2))) <=> (v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80)))),
% 72.98/45.86 inference(rewrite,[status(thm)],[])).
% 72.98/45.86 tff(13191,plain,
% 72.98/45.86 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~v100(constB80)) | (~v129(constB80, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80))))),
% 72.98/45.86 inference(monotonicity,[status(thm)],[13190])).
% 72.98/45.86 tff(13192,plain,
% 72.98/45.86 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~v100(constB80)) | (~v129(constB80, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80)))),
% 72.98/45.86 inference(transitivity,[status(thm)],[13191, 13189])).
% 72.98/45.86 tff(13193,plain,
% 72.98/45.86 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB80, bitIndex2) | (~v100(constB80)) | (~v129(constB80, bitIndex2)))),
% 72.98/45.86 inference(quant_inst,[status(thm)],[])).
% 72.98/45.86 tff(13194,plain,
% 72.98/45.86 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2)) | (~v100(constB80))),
% 72.98/45.86 inference(modus_ponens,[status(thm)],[13193, 13192])).
% 72.98/45.86 tff(13195,plain,
% 72.98/45.86 (v90(constB80, bitIndex2) | (~v100(constB80))),
% 72.98/45.86 inference(unit_resolution,[status(thm)],[13194, 1334, 13188])).
% 72.98/45.86 tff(13196,plain,
% 72.98/45.86 (v90(constB80, bitIndex2)),
% 72.98/45.86 inference(unit_resolution,[status(thm)],[13195, 13174])).
% 72.98/45.86 tff(13197,plain,
% 72.98/45.86 ((~v1(constB81)) <=> (~v1(constB81))),
% 72.98/45.86 inference(rewrite,[status(thm)],[])).
% 72.98/45.86 tff(13198,axiom,(~v1(constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_81_1_1')).
% 72.98/45.86 tff(13199,plain,
% 72.98/45.86 (~v1(constB81)),
% 72.98/45.86 inference(modus_ponens,[status(thm)],[13198, 13197])).
% 72.98/45.86 tff(13200,plain,
% 72.98/45.86 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 72.98/45.86 inference(rewrite,[status(thm)],[])).
% 72.98/45.86 tff(13201,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_80_1')).
% 72.98/45.86 tff(13202,plain,
% 72.98/45.86 (nextState(constB80, constB81)),
% 72.98/45.86 inference(modus_ponens,[status(thm)],[13201, 13200])).
% 72.98/45.86 tff(13203,plain,
% 72.98/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 72.98/45.86 inference(rewrite,[status(thm)],[])).
% 72.98/45.86 tff(13204,plain,
% 72.98/45.86 (((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81)) <=> (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 72.98/45.86 inference(rewrite,[status(thm)],[])).
% 72.98/45.86 tff(13205,plain,
% 72.98/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81))))),
% 72.98/45.86 inference(monotonicity,[status(thm)],[13204])).
% 72.98/45.86 tff(13206,plain,
% 72.98/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 72.98/45.86 inference(transitivity,[status(thm)],[13205, 13203])).
% 72.98/45.86 tff(13207,plain,
% 72.98/45.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))),
% 72.98/45.86 inference(quant_inst,[status(thm)],[])).
% 72.98/45.86 tff(13208,plain,
% 72.98/45.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81))),
% 72.98/45.86 inference(modus_ponens,[status(thm)],[13207, 13206])).
% 72.98/45.86 tff(13209,plain,
% 72.98/45.86 (~v101(constB81)),
% 72.98/45.86 inference(unit_resolution,[status(thm)],[13208, 56, 13202, 13199])).
% 72.98/45.86 tff(13210,plain,
% 72.98/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))),
% 72.98/45.86 inference(rewrite,[status(thm)],[])).
% 72.98/45.86 tff(13211,plain,
% 72.98/45.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))),
% 72.98/45.86 inference(quant_inst,[status(thm)],[])).
% 72.98/45.86 tff(13212,plain,
% 72.98/45.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81))),
% 72.98/45.86 inference(modus_ponens,[status(thm)],[13211, 13210])).
% 72.98/45.86 tff(13213,plain,
% 72.98/45.86 (v101(constB81) | (~v100(constB81))),
% 72.98/45.86 inference(unit_resolution,[status(thm)],[13212, 73, 13202])).
% 72.98/45.86 tff(13214,plain,
% 72.98/45.86 (~v100(constB81)),
% 72.98/45.86 inference(unit_resolution,[status(thm)],[13213, 13209])).
% 72.98/45.86 tff(13215,plain,
% 72.98/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2))),
% 72.98/45.86 inference(rewrite,[status(thm)],[])).
% 72.98/45.86 tff(13216,plain,
% 72.98/45.86 (((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex2)) | v100(constB81) | v90(constB81, bitIndex2)) <=> ((~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2))),
% 72.98/45.86 inference(rewrite,[status(thm)],[])).
% 72.98/45.86 tff(13217,plain,
% 72.98/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex2)) | v100(constB81) | v90(constB81, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2)))),
% 72.98/45.86 inference(monotonicity,[status(thm)],[13216])).
% 72.98/45.86 tff(13218,plain,
% 72.98/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex2)) | v100(constB81) | v90(constB81, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2))),
% 72.98/45.86 inference(transitivity,[status(thm)],[13217, 13215])).
% 72.98/45.86 tff(13219,plain,
% 72.98/45.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex2)) | v100(constB81) | v90(constB81, bitIndex2))),
% 72.98/45.86 inference(quant_inst,[status(thm)],[])).
% 72.98/45.86 tff(13220,plain,
% 72.98/45.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex2)),
% 72.98/45.86 inference(modus_ponens,[status(thm)],[13219, 13218])).
% 72.98/45.86 tff(13221,plain,
% 72.98/45.86 ((~v90(constB80, bitIndex2)) | v100(constB81) | v90(constB81, bitIndex2)),
% 72.98/45.86 inference(unit_resolution,[status(thm)],[13220, 1370, 13202])).
% 72.98/45.86 tff(13222,plain,
% 72.98/45.86 ((~v90(constB80, bitIndex2)) | v90(constB81, bitIndex2)),
% 72.98/45.86 inference(unit_resolution,[status(thm)],[13221, 13214])).
% 72.98/45.86 tff(13223,plain,
% 72.98/45.86 (v90(constB81, bitIndex2)),
% 72.98/45.86 inference(unit_resolution,[status(thm)],[13222, 13196])).
% 72.98/45.86 tff(13224,plain,
% 72.98/45.86 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB79)) | (~v130(constB79, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB79)) | (~v130(constB79, bitIndex1)))),
% 72.98/45.86 inference(rewrite,[status(thm)],[])).
% 72.98/45.86 tff(13225,plain,
% 72.98/45.86 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB79)) | (~v130(constB79, bitIndex1)))),
% 72.98/45.86 inference(quant_inst,[status(thm)],[])).
% 72.98/45.86 tff(13226,plain,
% 72.98/45.86 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB79)) | (~v130(constB79, bitIndex1))),
% 72.98/45.86 inference(modus_ponens,[status(thm)],[13225, 13224])).
% 72.98/45.86 tff(13227,plain,
% 72.98/45.86 (~v130(constB79, bitIndex1)),
% 72.98/45.86 inference(unit_resolution,[status(thm)],[13226, 1389, 13109])).
% 72.98/45.86 tff(13228,plain,
% 72.98/45.86 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1))),
% 72.98/45.86 inference(rewrite,[status(thm)],[])).
% 72.98/45.86 tff(13229,plain,
% 72.98/45.86 ((v26(constB79) | v130(constB79, bitIndex1) | (~v127(constB79, bitIndex1))) <=> ((~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1))),
% 73.04/45.86 inference(rewrite,[status(thm)],[])).
% 73.04/45.86 tff(13230,plain,
% 73.04/45.86 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB79) | v130(constB79, bitIndex1) | (~v127(constB79, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1)))),
% 73.04/45.86 inference(monotonicity,[status(thm)],[13229])).
% 73.04/45.86 tff(13231,plain,
% 73.04/45.86 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB79) | v130(constB79, bitIndex1) | (~v127(constB79, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1))),
% 73.04/45.86 inference(transitivity,[status(thm)],[13230, 13228])).
% 73.04/45.86 tff(13232,plain,
% 73.04/45.86 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB79) | v130(constB79, bitIndex1) | (~v127(constB79, bitIndex1)))),
% 73.04/45.86 inference(quant_inst,[status(thm)],[])).
% 73.04/45.86 tff(13233,plain,
% 73.04/45.86 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB79, bitIndex1)) | v26(constB79) | v130(constB79, bitIndex1)),
% 73.04/45.86 inference(modus_ponens,[status(thm)],[13232, 13231])).
% 73.04/45.86 tff(13234,plain,
% 73.04/45.86 ((~v127(constB79, bitIndex1)) | v26(constB79)),
% 73.04/45.86 inference(unit_resolution,[status(thm)],[13233, 555, 13227])).
% 73.04/45.86 tff(13235,plain,
% 73.04/45.86 (~v127(constB79, bitIndex1)),
% 73.04/45.86 inference(unit_resolution,[status(thm)],[13234, 7984])).
% 73.04/45.86 tff(13236,plain,
% 73.04/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB79, constB80)) | v127(constB79, bitIndex1) | (~v129(constB80, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB79, constB80)) | v127(constB79, bitIndex1) | (~v129(constB80, bitIndex1)))),
% 73.04/45.86 inference(rewrite,[status(thm)],[])).
% 73.04/45.86 tff(13237,plain,
% 73.04/45.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB79, constB80)) | v127(constB79, bitIndex1) | (~v129(constB80, bitIndex1)))),
% 73.04/45.86 inference(quant_inst,[status(thm)],[])).
% 73.04/45.86 tff(13238,plain,
% 73.04/45.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB79, constB80)) | v127(constB79, bitIndex1) | (~v129(constB80, bitIndex1))),
% 73.04/45.86 inference(modus_ponens,[status(thm)],[13237, 13236])).
% 73.04/45.86 tff(13239,plain,
% 73.04/45.86 (v127(constB79, bitIndex1) | (~v129(constB80, bitIndex1))),
% 73.04/45.86 inference(unit_resolution,[status(thm)],[13238, 588, 13140])).
% 73.04/45.86 tff(13240,plain,
% 73.04/45.86 (~v129(constB80, bitIndex1)),
% 73.04/45.86 inference(unit_resolution,[status(thm)],[13239, 13235])).
% 73.04/45.86 tff(13241,plain,
% 73.04/45.86 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80)))),
% 73.04/45.86 inference(rewrite,[status(thm)],[])).
% 73.04/45.86 tff(13242,plain,
% 73.04/45.86 (((~v90(constB80, bitIndex1)) | (~v100(constB80)) | v129(constB80, bitIndex1)) <=> ((~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80)))),
% 73.04/45.86 inference(rewrite,[status(thm)],[])).
% 73.04/45.86 tff(13243,plain,
% 73.04/45.86 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | (~v100(constB80)) | v129(constB80, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80))))),
% 73.04/45.86 inference(monotonicity,[status(thm)],[13242])).
% 73.04/45.86 tff(13244,plain,
% 73.04/45.86 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | (~v100(constB80)) | v129(constB80, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80)))),
% 73.04/45.86 inference(transitivity,[status(thm)],[13243, 13241])).
% 73.04/45.86 tff(13245,plain,
% 73.04/45.86 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB80, bitIndex1)) | (~v100(constB80)) | v129(constB80, bitIndex1))),
% 73.04/45.86 inference(quant_inst,[status(thm)],[])).
% 73.04/45.86 tff(13246,plain,
% 73.04/45.86 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1) | (~v100(constB80))),
% 73.04/45.86 inference(modus_ponens,[status(thm)],[13245, 13244])).
% 73.04/45.86 tff(13247,plain,
% 73.04/45.86 ((~v90(constB80, bitIndex1)) | (~v100(constB80))),
% 73.04/45.86 inference(unit_resolution,[status(thm)],[13246, 603, 13240])).
% 73.04/45.86 tff(13248,plain,
% 73.04/45.86 (~v90(constB80, bitIndex1)),
% 73.04/45.86 inference(unit_resolution,[status(thm)],[13247, 13174])).
% 73.04/45.86 tff(13249,plain,
% 73.04/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex1)))),
% 73.04/45.86 inference(rewrite,[status(thm)],[])).
% 73.04/45.86 tff(13250,plain,
% 73.04/45.86 (((~nextState(constB80, constB81)) | v90(constB80, bitIndex1) | v100(constB81) | (~v90(constB81, bitIndex1))) <=> (v90(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex1)))),
% 73.04/45.86 inference(rewrite,[status(thm)],[])).
% 73.04/45.86 tff(13251,plain,
% 73.04/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex1) | v100(constB81) | (~v90(constB81, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex1))))),
% 73.04/45.86 inference(monotonicity,[status(thm)],[13250])).
% 73.04/45.86 tff(13252,plain,
% 73.04/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex1) | v100(constB81) | (~v90(constB81, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex1)))),
% 73.04/45.86 inference(transitivity,[status(thm)],[13251, 13249])).
% 73.04/45.86 tff(13253,plain,
% 73.04/45.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex1) | v100(constB81) | (~v90(constB81, bitIndex1)))),
% 73.04/45.86 inference(quant_inst,[status(thm)],[])).
% 73.04/45.86 tff(13254,plain,
% 73.04/45.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex1))),
% 73.04/45.86 inference(modus_ponens,[status(thm)],[13253, 13252])).
% 73.04/45.86 tff(13255,plain,
% 73.04/45.86 (v90(constB80, bitIndex1) | v100(constB81) | (~v90(constB81, bitIndex1))),
% 73.04/45.86 inference(unit_resolution,[status(thm)],[13254, 109, 13202])).
% 73.04/45.86 tff(13256,plain,
% 73.04/45.86 (v90(constB80, bitIndex1) | (~v90(constB81, bitIndex1))),
% 73.04/45.86 inference(unit_resolution,[status(thm)],[13255, 13214])).
% 73.04/45.86 tff(13257,plain,
% 73.04/45.86 (~v90(constB81, bitIndex1)),
% 73.04/45.86 inference(unit_resolution,[status(thm)],[13256, 13248])).
% 73.04/45.86 tff(13258,plain,
% 73.04/45.86 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB79)) | (~v130(constB79, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB79)) | (~v130(constB79, bitIndex0)))),
% 73.04/45.86 inference(rewrite,[status(thm)],[])).
% 73.04/45.86 tff(13259,plain,
% 73.04/45.86 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB79)) | (~v130(constB79, bitIndex0)))),
% 73.04/45.86 inference(quant_inst,[status(thm)],[])).
% 73.04/45.86 tff(13260,plain,
% 73.04/45.86 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB79)) | (~v130(constB79, bitIndex0))),
% 73.04/45.86 inference(modus_ponens,[status(thm)],[13259, 13258])).
% 73.04/45.86 tff(13261,plain,
% 73.04/45.86 (~v130(constB79, bitIndex0)),
% 73.04/45.86 inference(unit_resolution,[status(thm)],[13260, 1433, 13109])).
% 73.04/45.86 tff(13262,plain,
% 73.04/45.86 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0))),
% 73.04/45.86 inference(rewrite,[status(thm)],[])).
% 73.04/45.86 tff(13263,plain,
% 73.04/45.86 ((v26(constB79) | v130(constB79, bitIndex0) | (~v127(constB79, bitIndex0))) <=> ((~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0))),
% 73.04/45.86 inference(rewrite,[status(thm)],[])).
% 73.04/45.86 tff(13264,plain,
% 73.04/45.86 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB79) | v130(constB79, bitIndex0) | (~v127(constB79, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0)))),
% 73.04/45.86 inference(monotonicity,[status(thm)],[13263])).
% 73.04/45.86 tff(13265,plain,
% 73.04/45.86 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB79) | v130(constB79, bitIndex0) | (~v127(constB79, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0))),
% 73.04/45.86 inference(transitivity,[status(thm)],[13264, 13262])).
% 73.04/45.86 tff(13266,plain,
% 73.04/45.86 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB79) | v130(constB79, bitIndex0) | (~v127(constB79, bitIndex0)))),
% 73.04/45.86 inference(quant_inst,[status(thm)],[])).
% 73.04/45.86 tff(13267,plain,
% 73.04/45.86 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB79, bitIndex0)) | v26(constB79) | v130(constB79, bitIndex0)),
% 73.04/45.86 inference(modus_ponens,[status(thm)],[13266, 13265])).
% 73.04/45.86 tff(13268,plain,
% 73.04/45.86 ((~v127(constB79, bitIndex0)) | v26(constB79)),
% 73.04/45.86 inference(unit_resolution,[status(thm)],[13267, 905, 13261])).
% 73.04/45.86 tff(13269,plain,
% 73.04/45.86 (~v127(constB79, bitIndex0)),
% 73.04/45.86 inference(unit_resolution,[status(thm)],[13268, 7984])).
% 73.04/45.86 tff(13270,plain,
% 73.04/45.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB79, constB80)) | v127(constB79, bitIndex0) | (~v129(constB80, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB79, constB80)) | v127(constB79, bitIndex0) | (~v129(constB80, bitIndex0)))),
% 73.04/45.86 inference(rewrite,[status(thm)],[])).
% 73.04/45.86 tff(13271,plain,
% 73.04/45.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB79, constB80)) | v127(constB79, bitIndex0) | (~v129(constB80, bitIndex0)))),
% 73.04/45.86 inference(quant_inst,[status(thm)],[])).
% 73.04/45.87 tff(13272,plain,
% 73.04/45.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB79, constB80)) | v127(constB79, bitIndex0) | (~v129(constB80, bitIndex0))),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13271, 13270])).
% 73.04/45.87 tff(13273,plain,
% 73.04/45.87 (v127(constB79, bitIndex0) | (~v129(constB80, bitIndex0))),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13272, 923, 13140])).
% 73.04/45.87 tff(13274,plain,
% 73.04/45.87 (~v129(constB80, bitIndex0)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13273, 13269])).
% 73.04/45.87 tff(13275,plain,
% 73.04/45.87 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80)))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13276,plain,
% 73.04/45.87 (((~v90(constB80, bitIndex0)) | (~v100(constB80)) | v129(constB80, bitIndex0)) <=> ((~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80)))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13277,plain,
% 73.04/45.87 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | (~v100(constB80)) | v129(constB80, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80))))),
% 73.04/45.87 inference(monotonicity,[status(thm)],[13276])).
% 73.04/45.87 tff(13278,plain,
% 73.04/45.87 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | (~v100(constB80)) | v129(constB80, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80)))),
% 73.04/45.87 inference(transitivity,[status(thm)],[13277, 13275])).
% 73.04/45.87 tff(13279,plain,
% 73.04/45.87 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB80, bitIndex0)) | (~v100(constB80)) | v129(constB80, bitIndex0))),
% 73.04/45.87 inference(quant_inst,[status(thm)],[])).
% 73.04/45.87 tff(13280,plain,
% 73.04/45.87 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0) | (~v100(constB80))),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13279, 13278])).
% 73.04/45.87 tff(13281,plain,
% 73.04/45.87 ((~v90(constB80, bitIndex0)) | (~v100(constB80))),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13280, 938, 13274])).
% 73.04/45.87 tff(13282,plain,
% 73.04/45.87 (~v90(constB80, bitIndex0)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13281, 13174])).
% 73.04/45.87 tff(13283,plain,
% 73.04/45.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0)))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13284,plain,
% 73.04/45.87 (((~nextState(constB80, constB81)) | v90(constB80, bitIndex0) | v100(constB81) | (~v90(constB81, bitIndex0))) <=> (v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0)))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13285,plain,
% 73.04/45.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex0) | v100(constB81) | (~v90(constB81, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0))))),
% 73.04/45.87 inference(monotonicity,[status(thm)],[13284])).
% 73.04/45.87 tff(13286,plain,
% 73.04/45.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex0) | v100(constB81) | (~v90(constB81, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0)))),
% 73.04/45.87 inference(transitivity,[status(thm)],[13285, 13283])).
% 73.04/45.87 tff(13287,plain,
% 73.04/45.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB80, constB81)) | v90(constB80, bitIndex0) | v100(constB81) | (~v90(constB81, bitIndex0)))),
% 73.04/45.87 inference(quant_inst,[status(thm)],[])).
% 73.04/45.87 tff(13288,plain,
% 73.04/45.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex0))),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13287, 13286])).
% 73.04/45.87 tff(13289,plain,
% 73.04/45.87 (v90(constB80, bitIndex0) | v100(constB81) | (~v90(constB81, bitIndex0))),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13288, 130, 13202])).
% 73.04/45.87 tff(13290,plain,
% 73.04/45.87 (v90(constB80, bitIndex0) | (~v90(constB81, bitIndex0))),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13289, 13214])).
% 73.04/45.87 tff(13291,plain,
% 73.04/45.87 (~v90(constB81, bitIndex0)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13290, 13282])).
% 73.04/45.87 tff(13292,plain,
% 73.04/45.87 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)) | v123(constB81))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)) | v123(constB81))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13293,plain,
% 73.04/45.87 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)) | v123(constB81))),
% 73.04/45.87 inference(quant_inst,[status(thm)],[])).
% 73.04/45.87 tff(13294,plain,
% 73.04/45.87 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)) | v123(constB81)),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13293, 13292])).
% 73.04/45.87 tff(13295,plain,
% 73.04/45.87 (v123(constB81)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13294, 1477, 13291, 13257, 13223])).
% 73.04/45.87 tff(13296,plain,
% 73.04/45.87 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB81) | (~v123(constB81)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB81) | (~v123(constB81)))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13297,plain,
% 73.04/45.87 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB81) | (~v123(constB81)))),
% 73.04/45.87 inference(quant_inst,[status(thm)],[])).
% 73.04/45.87 tff(13298,plain,
% 73.04/45.87 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB81) | (~v123(constB81))),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13297, 13296])).
% 73.04/45.87 tff(13299,plain,
% 73.04/45.87 (v115(constB81)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13298, 1488, 13295])).
% 73.04/45.87 tff(13300,plain,
% 73.04/45.87 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB81) | (~v115(constB81)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB81) | (~v115(constB81)))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13301,plain,
% 73.04/45.87 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB81) | (~v115(constB81)))),
% 73.04/45.87 inference(quant_inst,[status(thm)],[])).
% 73.04/45.87 tff(13302,plain,
% 73.04/45.87 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB81) | (~v115(constB81))),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13301, 13300])).
% 73.04/45.87 tff(13303,plain,
% 73.04/45.87 (v114(constB81)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13302, 276, 13299])).
% 73.04/45.87 tff(13304,plain,
% 73.04/45.87 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB81) | (~v114(constB81)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB81) | (~v114(constB81)))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13305,plain,
% 73.04/45.87 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB81) | (~v114(constB81)))),
% 73.04/45.87 inference(quant_inst,[status(thm)],[])).
% 73.04/45.87 tff(13306,plain,
% 73.04/45.87 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB81) | (~v114(constB81))),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13305, 13304])).
% 73.04/45.87 tff(13307,plain,
% 73.04/45.87 (v113(constB81)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13306, 287, 13303])).
% 73.04/45.87 tff(13308,plain,
% 73.04/45.87 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | v112(constB81) | (~v113(constB81)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | v112(constB81) | (~v113(constB81)))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13309,plain,
% 73.04/45.87 ((v26(constB81) | (~v113(constB81)) | v112(constB81)) <=> (v26(constB81) | v112(constB81) | (~v113(constB81)))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13310,plain,
% 73.04/45.87 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | v112(constB81) | (~v113(constB81))))),
% 73.04/45.87 inference(monotonicity,[status(thm)],[13309])).
% 73.04/45.87 tff(13311,plain,
% 73.04/45.87 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | v112(constB81) | (~v113(constB81)))),
% 73.04/45.87 inference(transitivity,[status(thm)],[13310, 13308])).
% 73.04/45.87 tff(13312,plain,
% 73.04/45.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))),
% 73.04/45.87 inference(quant_inst,[status(thm)],[])).
% 73.04/45.87 tff(13313,plain,
% 73.04/45.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | v112(constB81) | (~v113(constB81))),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13312, 13311])).
% 73.04/45.87 tff(13314,plain,
% 73.04/45.87 (v26(constB81) | v112(constB81)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13313, 301, 13307])).
% 73.04/45.87 tff(13315,plain,
% 73.04/45.87 (v112(constB81)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13314, 7980])).
% 73.04/45.87 tff(13316,plain,
% 73.04/45.87 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB81) | (~v112(constB81)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB81) | (~v112(constB81)))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13317,plain,
% 73.04/45.87 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB81) | (~v112(constB81)))),
% 73.04/45.87 inference(quant_inst,[status(thm)],[])).
% 73.04/45.87 tff(13318,plain,
% 73.04/45.87 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB81) | (~v112(constB81))),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13317, 13316])).
% 73.04/45.87 tff(13319,plain,
% 73.04/45.87 (v108(constB81)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13318, 210, 13315])).
% 73.04/45.87 tff(13320,plain,
% 73.04/45.87 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13321,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_81_1')).
% 73.04/45.87 tff(13322,plain,
% 73.04/45.87 (nextState(constB81, constB82)),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13321, 13320])).
% 73.04/45.87 tff(13323,plain,
% 73.04/45.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13324,plain,
% 73.04/45.87 (((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82)) <=> ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13325,plain,
% 73.04/45.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81))))),
% 73.04/45.87 inference(monotonicity,[status(thm)],[13324])).
% 73.04/45.87 tff(13326,plain,
% 73.04/45.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 73.04/45.87 inference(transitivity,[status(thm)],[13325, 13323])).
% 73.04/45.87 tff(13327,plain,
% 73.04/45.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))),
% 73.04/45.87 inference(quant_inst,[status(thm)],[])).
% 73.04/45.87 tff(13328,plain,
% 73.04/45.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81))),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13327, 13326])).
% 73.04/45.87 tff(13329,plain,
% 73.04/45.87 (v110(constB82) | (~v108(constB81))),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13328, 317, 13322])).
% 73.04/45.87 tff(13330,plain,
% 73.04/45.87 (v110(constB82)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13329, 13319])).
% 73.04/45.87 tff(13331,plain,
% 73.04/45.87 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13332,plain,
% 73.04/45.87 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))),
% 73.04/45.87 inference(quant_inst,[status(thm)],[])).
% 73.04/45.87 tff(13333,plain,
% 73.04/45.87 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82))),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13332, 13331])).
% 73.04/45.87 tff(13334,plain,
% 73.04/45.87 (~v104(constB82)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13333, 335, 13322, 13199])).
% 73.04/45.87 tff(13335,plain,
% 73.04/45.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13336,plain,
% 73.04/45.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))),
% 73.04/45.87 inference(quant_inst,[status(thm)],[])).
% 73.04/45.87 tff(13337,plain,
% 73.04/45.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v102(constB82) | v104(constB82)),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13336, 13335])).
% 73.04/45.87 tff(13338,plain,
% 73.04/45.87 (v102(constB82) | v104(constB82)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13337, 349, 13322])).
% 73.04/45.87 tff(13339,plain,
% 73.04/45.87 (v102(constB82)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13338, 13334])).
% 73.04/45.87 tff(13340,plain,
% 73.04/45.87 (v1(constB82) <=> v1(constB82)),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13341,axiom,(v1(constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_82_1')).
% 73.04/45.87 tff(13342,plain,
% 73.04/45.87 (v1(constB82)),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13341, 13340])).
% 73.04/45.87 tff(13343,plain,
% 73.04/45.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13344,plain,
% 73.04/45.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))),
% 73.04/45.87 inference(quant_inst,[status(thm)],[])).
% 73.04/45.87 tff(13345,plain,
% 73.04/45.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82))),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13344, 13343])).
% 73.04/45.87 tff(13346,plain,
% 73.04/45.87 (v101(constB82) | (~v102(constB82))),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13345, 367, 13322, 13342])).
% 73.04/45.87 tff(13347,plain,
% 73.04/45.87 (v101(constB82)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13346, 13339])).
% 73.04/45.87 tff(13348,plain,
% 73.04/45.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13349,plain,
% 73.04/45.87 (((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82)) <=> ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13350,plain,
% 73.04/45.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82))))),
% 73.04/45.87 inference(monotonicity,[status(thm)],[13349])).
% 73.04/45.87 tff(13351,plain,
% 73.04/45.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 73.04/45.87 inference(transitivity,[status(thm)],[13350, 13348])).
% 73.04/45.87 tff(13352,plain,
% 73.04/45.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))),
% 73.04/45.87 inference(quant_inst,[status(thm)],[])).
% 73.04/45.87 tff(13353,plain,
% 73.04/45.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82))),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13352, 13351])).
% 73.04/45.87 tff(13354,plain,
% 73.04/45.87 (v100(constB82) | (~v101(constB82)) | (~v110(constB82))),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13353, 382, 13322])).
% 73.04/45.87 tff(13355,plain,
% 73.04/45.87 (v100(constB82) | (~v110(constB82))),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13354, 13347])).
% 73.04/45.87 tff(13356,plain,
% 73.04/45.87 (v100(constB82)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13355, 13330])).
% 73.04/45.87 tff(13357,plain,
% 73.04/45.87 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB81)) | v130(constB81, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB81)) | v130(constB81, bitIndex2))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13358,plain,
% 73.04/45.87 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB81)) | v130(constB81, bitIndex2))),
% 73.04/45.87 inference(quant_inst,[status(thm)],[])).
% 73.04/45.87 tff(13359,plain,
% 73.04/45.87 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB81)) | v130(constB81, bitIndex2)),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13358, 13357])).
% 73.04/45.87 tff(13360,plain,
% 73.04/45.87 (v130(constB81, bitIndex2)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13359, 1563, 13295])).
% 73.04/45.87 tff(13361,plain,
% 73.04/45.87 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13362,plain,
% 73.04/45.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2))),
% 73.04/45.87 inference(quant_inst,[status(thm)],[])).
% 73.04/45.87 tff(13363,plain,
% 73.04/45.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2)),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13362, 13361])).
% 73.04/45.87 tff(13364,plain,
% 73.04/45.87 (v26(constB81) | v127(constB81, bitIndex2)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13363, 1304, 13360])).
% 73.04/45.87 tff(13365,plain,
% 73.04/45.87 (v127(constB81, bitIndex2)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13364, 7980])).
% 73.04/45.87 tff(13366,plain,
% 73.04/45.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13367,plain,
% 73.04/45.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2))),
% 73.04/45.87 inference(quant_inst,[status(thm)],[])).
% 73.04/45.87 tff(13368,plain,
% 73.04/45.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2)),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13367, 13366])).
% 73.04/45.87 tff(13369,plain,
% 73.04/45.87 ((~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13368, 1319, 13322])).
% 73.04/45.87 tff(13370,plain,
% 73.04/45.87 (v129(constB82, bitIndex2)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13369, 13365])).
% 73.04/45.87 tff(13371,plain,
% 73.04/45.87 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13372,plain,
% 73.04/45.87 ((v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2))) <=> (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13373,plain,
% 73.04/45.87 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82))))),
% 73.04/45.87 inference(monotonicity,[status(thm)],[13372])).
% 73.04/45.87 tff(13374,plain,
% 73.04/45.87 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))),
% 73.04/45.87 inference(transitivity,[status(thm)],[13373, 13371])).
% 73.04/45.87 tff(13375,plain,
% 73.04/45.87 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2)))),
% 73.04/45.87 inference(quant_inst,[status(thm)],[])).
% 73.04/45.87 tff(13376,plain,
% 73.04/45.87 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82))),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13375, 13374])).
% 73.04/45.87 tff(13377,plain,
% 73.04/45.87 (v90(constB82, bitIndex2) | (~v100(constB82))),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13376, 1334, 13370])).
% 73.04/45.87 tff(13378,plain,
% 73.04/45.87 (v90(constB82, bitIndex2)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13377, 13356])).
% 73.04/45.87 tff(13379,plain,
% 73.04/45.87 ((~v1(constB83)) <=> (~v1(constB83))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13380,axiom,(~v1(constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_83_1_1')).
% 73.04/45.87 tff(13381,plain,
% 73.04/45.87 (~v1(constB83)),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13380, 13379])).
% 73.04/45.87 tff(13382,plain,
% 73.04/45.87 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13383,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_82_1')).
% 73.04/45.87 tff(13384,plain,
% 73.04/45.87 (nextState(constB82, constB83)),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13383, 13382])).
% 73.04/45.87 tff(13385,plain,
% 73.04/45.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13386,plain,
% 73.04/45.87 (((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83)) <=> (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13387,plain,
% 73.04/45.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83))))),
% 73.04/45.87 inference(monotonicity,[status(thm)],[13386])).
% 73.04/45.87 tff(13388,plain,
% 73.04/45.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 73.04/45.87 inference(transitivity,[status(thm)],[13387, 13385])).
% 73.04/45.87 tff(13389,plain,
% 73.04/45.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))),
% 73.04/45.87 inference(quant_inst,[status(thm)],[])).
% 73.04/45.87 tff(13390,plain,
% 73.04/45.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83))),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13389, 13388])).
% 73.04/45.87 tff(13391,plain,
% 73.04/45.87 (~v101(constB83)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13390, 56, 13384, 13381])).
% 73.04/45.87 tff(13392,plain,
% 73.04/45.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13393,plain,
% 73.04/45.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))),
% 73.04/45.87 inference(quant_inst,[status(thm)],[])).
% 73.04/45.87 tff(13394,plain,
% 73.04/45.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83))),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13393, 13392])).
% 73.04/45.87 tff(13395,plain,
% 73.04/45.87 (v101(constB83) | (~v100(constB83))),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13394, 73, 13384])).
% 73.04/45.87 tff(13396,plain,
% 73.04/45.87 (~v100(constB83)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13395, 13391])).
% 73.04/45.87 tff(13397,plain,
% 73.04/45.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13398,plain,
% 73.04/45.87 (((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2)) <=> ((~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13399,plain,
% 73.04/45.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2)))),
% 73.04/45.87 inference(monotonicity,[status(thm)],[13398])).
% 73.04/45.87 tff(13400,plain,
% 73.04/45.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))),
% 73.04/45.87 inference(transitivity,[status(thm)],[13399, 13397])).
% 73.04/45.87 tff(13401,plain,
% 73.04/45.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2))),
% 73.04/45.87 inference(quant_inst,[status(thm)],[])).
% 73.04/45.87 tff(13402,plain,
% 73.04/45.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2)),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13401, 13400])).
% 73.04/45.87 tff(13403,plain,
% 73.04/45.87 ((~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13402, 1370, 13384])).
% 73.04/45.87 tff(13404,plain,
% 73.04/45.87 ((~v90(constB82, bitIndex2)) | v90(constB83, bitIndex2)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13403, 13396])).
% 73.04/45.87 tff(13405,plain,
% 73.04/45.87 (v90(constB83, bitIndex2)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13404, 13378])).
% 73.04/45.87 tff(13406,plain,
% 73.04/45.87 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB81)) | (~v130(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB81)) | (~v130(constB81, bitIndex1)))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13407,plain,
% 73.04/45.87 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB81)) | (~v130(constB81, bitIndex1)))),
% 73.04/45.87 inference(quant_inst,[status(thm)],[])).
% 73.04/45.87 tff(13408,plain,
% 73.04/45.87 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB81)) | (~v130(constB81, bitIndex1))),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13407, 13406])).
% 73.04/45.87 tff(13409,plain,
% 73.04/45.87 (~v130(constB81, bitIndex1)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13408, 1622, 13295])).
% 73.04/45.87 tff(13410,plain,
% 73.04/45.87 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13411,plain,
% 73.04/45.87 ((v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1))) <=> ((~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))),
% 73.04/45.87 inference(rewrite,[status(thm)],[])).
% 73.04/45.87 tff(13412,plain,
% 73.04/45.87 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1)))),
% 73.04/45.87 inference(monotonicity,[status(thm)],[13411])).
% 73.04/45.87 tff(13413,plain,
% 73.04/45.87 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))),
% 73.04/45.87 inference(transitivity,[status(thm)],[13412, 13410])).
% 73.04/45.87 tff(13414,plain,
% 73.04/45.87 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1)))),
% 73.04/45.87 inference(quant_inst,[status(thm)],[])).
% 73.04/45.87 tff(13415,plain,
% 73.04/45.87 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1)),
% 73.04/45.87 inference(modus_ponens,[status(thm)],[13414, 13413])).
% 73.04/45.87 tff(13416,plain,
% 73.04/45.87 ((~v127(constB81, bitIndex1)) | v26(constB81)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13415, 555, 13409])).
% 73.04/45.87 tff(13417,plain,
% 73.04/45.87 (~v127(constB81, bitIndex1)),
% 73.04/45.87 inference(unit_resolution,[status(thm)],[13416, 7980])).
% 73.04/45.87 tff(13418,plain,
% 73.04/45.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1)))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13419,plain,
% 73.04/45.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1)))),
% 73.04/45.88 inference(quant_inst,[status(thm)],[])).
% 73.04/45.88 tff(13420,plain,
% 73.04/45.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1))),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13419, 13418])).
% 73.04/45.88 tff(13421,plain,
% 73.04/45.88 (v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1))),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13420, 588, 13322])).
% 73.04/45.88 tff(13422,plain,
% 73.04/45.88 (~v129(constB82, bitIndex1)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13421, 13417])).
% 73.04/45.88 tff(13423,plain,
% 73.04/45.88 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13424,plain,
% 73.04/45.88 (((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1)) <=> ((~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13425,plain,
% 73.04/45.88 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82))))),
% 73.04/45.88 inference(monotonicity,[status(thm)],[13424])).
% 73.04/45.88 tff(13426,plain,
% 73.04/45.88 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))),
% 73.04/45.88 inference(transitivity,[status(thm)],[13425, 13423])).
% 73.04/45.88 tff(13427,plain,
% 73.04/45.88 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1))),
% 73.04/45.88 inference(quant_inst,[status(thm)],[])).
% 73.04/45.88 tff(13428,plain,
% 73.04/45.88 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82))),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13427, 13426])).
% 73.04/45.88 tff(13429,plain,
% 73.04/45.88 ((~v90(constB82, bitIndex1)) | (~v100(constB82))),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13428, 603, 13422])).
% 73.04/45.88 tff(13430,plain,
% 73.04/45.88 (~v90(constB82, bitIndex1)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13429, 13356])).
% 73.04/45.88 tff(13431,plain,
% 73.04/45.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13432,plain,
% 73.04/45.88 (((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1))) <=> (v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13433,plain,
% 73.04/45.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1))))),
% 73.04/45.88 inference(monotonicity,[status(thm)],[13432])).
% 73.04/45.88 tff(13434,plain,
% 73.04/45.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 73.04/45.88 inference(transitivity,[status(thm)],[13433, 13431])).
% 73.04/45.88 tff(13435,plain,
% 73.04/45.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 73.04/45.88 inference(quant_inst,[status(thm)],[])).
% 73.04/45.88 tff(13436,plain,
% 73.04/45.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1))),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13435, 13434])).
% 73.04/45.88 tff(13437,plain,
% 73.04/45.88 (v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1))),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13436, 109, 13384])).
% 73.04/45.88 tff(13438,plain,
% 73.04/45.88 (v90(constB82, bitIndex1) | (~v90(constB83, bitIndex1))),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13437, 13396])).
% 73.04/45.88 tff(13439,plain,
% 73.04/45.88 (~v90(constB83, bitIndex1)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13438, 13430])).
% 73.04/45.88 tff(13440,plain,
% 73.04/45.88 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB81)) | v130(constB81, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB81)) | v130(constB81, bitIndex0))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13441,plain,
% 73.04/45.88 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB81)) | v130(constB81, bitIndex0))),
% 73.04/45.88 inference(quant_inst,[status(thm)],[])).
% 73.04/45.88 tff(13442,plain,
% 73.04/45.88 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB81)) | v130(constB81, bitIndex0)),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13441, 13440])).
% 73.04/45.88 tff(13443,plain,
% 73.04/45.88 (v130(constB81, bitIndex0)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13442, 1666, 13295])).
% 73.04/45.88 tff(13444,plain,
% 73.04/45.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB81) | (~v130(constB81, bitIndex0)) | v127(constB81, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB81) | (~v130(constB81, bitIndex0)) | v127(constB81, bitIndex0))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13445,plain,
% 73.04/45.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB81) | (~v130(constB81, bitIndex0)) | v127(constB81, bitIndex0))),
% 73.04/45.88 inference(quant_inst,[status(thm)],[])).
% 73.04/45.88 tff(13446,plain,
% 73.04/45.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB81) | (~v130(constB81, bitIndex0)) | v127(constB81, bitIndex0)),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13445, 13444])).
% 73.04/45.88 tff(13447,plain,
% 73.04/45.88 (v26(constB81) | v127(constB81, bitIndex0)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13446, 179, 13443])).
% 73.04/45.88 tff(13448,plain,
% 73.04/45.88 (v127(constB81, bitIndex0)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13447, 7980])).
% 73.04/45.88 tff(13449,plain,
% 73.04/45.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex0)) | v129(constB82, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex0)) | v129(constB82, bitIndex0))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13450,plain,
% 73.04/45.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex0)) | v129(constB82, bitIndex0))),
% 73.04/45.88 inference(quant_inst,[status(thm)],[])).
% 73.04/45.88 tff(13451,plain,
% 73.04/45.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex0)) | v129(constB82, bitIndex0)),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13450, 13449])).
% 73.04/45.88 tff(13452,plain,
% 73.04/45.88 ((~v127(constB81, bitIndex0)) | v129(constB82, bitIndex0)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13451, 197, 13322])).
% 73.04/45.88 tff(13453,plain,
% 73.04/45.88 (v129(constB82, bitIndex0)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13452, 13448])).
% 73.04/45.88 tff(13454,plain,
% 73.04/45.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82)))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13455,plain,
% 73.04/45.88 ((v90(constB82, bitIndex0) | (~v100(constB82)) | (~v129(constB82, bitIndex0))) <=> (v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82)))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13456,plain,
% 73.04/45.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v100(constB82)) | (~v129(constB82, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82))))),
% 73.04/45.88 inference(monotonicity,[status(thm)],[13455])).
% 73.04/45.88 tff(13457,plain,
% 73.04/45.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v100(constB82)) | (~v129(constB82, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82)))),
% 73.04/45.88 inference(transitivity,[status(thm)],[13456, 13454])).
% 73.04/45.88 tff(13458,plain,
% 73.04/45.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v100(constB82)) | (~v129(constB82, bitIndex0)))),
% 73.04/45.88 inference(quant_inst,[status(thm)],[])).
% 73.04/45.88 tff(13459,plain,
% 73.04/45.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0)) | (~v100(constB82))),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13458, 13457])).
% 73.04/45.88 tff(13460,plain,
% 73.04/45.88 (v90(constB82, bitIndex0) | (~v100(constB82))),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13459, 401, 13453])).
% 73.04/45.88 tff(13461,plain,
% 73.04/45.88 (v90(constB82, bitIndex0)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13460, 13356])).
% 73.04/45.88 tff(13462,plain,
% 73.04/45.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13463,plain,
% 73.04/45.88 (((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex0)) | v100(constB83) | v90(constB83, bitIndex0)) <=> ((~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13464,plain,
% 73.04/45.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex0)) | v100(constB83) | v90(constB83, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0)))),
% 73.04/45.88 inference(monotonicity,[status(thm)],[13463])).
% 73.04/45.88 tff(13465,plain,
% 73.04/45.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex0)) | v100(constB83) | v90(constB83, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0))),
% 73.04/45.88 inference(transitivity,[status(thm)],[13464, 13462])).
% 73.04/45.88 tff(13466,plain,
% 73.04/45.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex0)) | v100(constB83) | v90(constB83, bitIndex0))),
% 73.04/45.88 inference(quant_inst,[status(thm)],[])).
% 73.04/45.88 tff(13467,plain,
% 73.04/45.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex0)),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13466, 13465])).
% 73.04/45.88 tff(13468,plain,
% 73.04/45.88 ((~v90(constB82, bitIndex0)) | v100(constB83) | v90(constB83, bitIndex0)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13467, 437, 13384])).
% 73.04/45.88 tff(13469,plain,
% 73.04/45.88 ((~v90(constB82, bitIndex0)) | v90(constB83, bitIndex0)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13468, 13396])).
% 73.04/45.88 tff(13470,plain,
% 73.04/45.88 (v90(constB83, bitIndex0)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13469, 13461])).
% 73.04/45.88 tff(13471,plain,
% 73.04/45.88 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB83, bitIndex0)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v124(constB83))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB83, bitIndex0)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v124(constB83))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13472,plain,
% 73.04/45.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB83, bitIndex0)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v124(constB83))),
% 73.04/45.88 inference(quant_inst,[status(thm)],[])).
% 73.04/45.88 tff(13473,plain,
% 73.04/45.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB83, bitIndex0)) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v124(constB83)),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13472, 13471])).
% 73.04/45.88 tff(13474,plain,
% 73.04/45.88 (v124(constB83)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13473, 1707, 13470, 13439, 13405])).
% 73.04/45.88 tff(13475,plain,
% 73.04/45.88 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB83) | (~v124(constB83)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB83) | (~v124(constB83)))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13476,plain,
% 73.04/45.88 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB83) | (~v124(constB83)))),
% 73.04/45.88 inference(quant_inst,[status(thm)],[])).
% 73.04/45.88 tff(13477,plain,
% 73.04/45.88 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB83) | (~v124(constB83))),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13476, 13475])).
% 73.04/45.88 tff(13478,plain,
% 73.04/45.88 (v114(constB83)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13477, 1718, 13474])).
% 73.04/45.88 tff(13479,plain,
% 73.04/45.88 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB83) | (~v114(constB83)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB83) | (~v114(constB83)))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13480,plain,
% 73.04/45.88 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB83) | (~v114(constB83)))),
% 73.04/45.88 inference(quant_inst,[status(thm)],[])).
% 73.04/45.88 tff(13481,plain,
% 73.04/45.88 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB83) | (~v114(constB83))),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13480, 13479])).
% 73.04/45.88 tff(13482,plain,
% 73.04/45.88 (v113(constB83)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13481, 287, 13478])).
% 73.04/45.88 tff(13483,plain,
% 73.04/45.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | (~v113(constB83)) | v112(constB83))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13484,plain,
% 73.04/45.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))),
% 73.04/45.88 inference(quant_inst,[status(thm)],[])).
% 73.04/45.88 tff(13485,plain,
% 73.04/45.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | (~v113(constB83)) | v112(constB83)),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13484, 13483])).
% 73.04/45.88 tff(13486,plain,
% 73.04/45.88 (v26(constB83) | v112(constB83)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13485, 301, 13482])).
% 73.04/45.88 tff(13487,plain,
% 73.04/45.88 (v112(constB83)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13486, 7976])).
% 73.04/45.88 tff(13488,plain,
% 73.04/45.88 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB83) | (~v112(constB83)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB83) | (~v112(constB83)))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13489,plain,
% 73.04/45.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB83) | (~v112(constB83)))),
% 73.04/45.88 inference(quant_inst,[status(thm)],[])).
% 73.04/45.88 tff(13490,plain,
% 73.04/45.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB83) | (~v112(constB83))),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13489, 13488])).
% 73.04/45.88 tff(13491,plain,
% 73.04/45.88 (v108(constB83)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13490, 210, 13487])).
% 73.04/45.88 tff(13492,plain,
% 73.04/45.88 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13493,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_83_1')).
% 73.04/45.88 tff(13494,plain,
% 73.04/45.88 (nextState(constB83, constB84)),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13493, 13492])).
% 73.04/45.88 tff(13495,plain,
% 73.04/45.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13496,plain,
% 73.04/45.88 (((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84)) <=> ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13497,plain,
% 73.04/45.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83))))),
% 73.04/45.88 inference(monotonicity,[status(thm)],[13496])).
% 73.04/45.88 tff(13498,plain,
% 73.04/45.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 73.04/45.88 inference(transitivity,[status(thm)],[13497, 13495])).
% 73.04/45.88 tff(13499,plain,
% 73.04/45.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))),
% 73.04/45.88 inference(quant_inst,[status(thm)],[])).
% 73.04/45.88 tff(13500,plain,
% 73.04/45.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83))),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13499, 13498])).
% 73.04/45.88 tff(13501,plain,
% 73.04/45.88 (v110(constB84) | (~v108(constB83))),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13500, 317, 13494])).
% 73.04/45.88 tff(13502,plain,
% 73.04/45.88 (v110(constB84)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13501, 13491])).
% 73.04/45.88 tff(13503,plain,
% 73.04/45.88 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13504,plain,
% 73.04/45.88 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))),
% 73.04/45.88 inference(quant_inst,[status(thm)],[])).
% 73.04/45.88 tff(13505,plain,
% 73.04/45.88 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84))),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13504, 13503])).
% 73.04/45.88 tff(13506,plain,
% 73.04/45.88 (~v104(constB84)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13505, 335, 13494, 13381])).
% 73.04/45.88 tff(13507,plain,
% 73.04/45.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13508,plain,
% 73.04/45.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))),
% 73.04/45.88 inference(quant_inst,[status(thm)],[])).
% 73.04/45.88 tff(13509,plain,
% 73.04/45.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v102(constB84) | v104(constB84)),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13508, 13507])).
% 73.04/45.88 tff(13510,plain,
% 73.04/45.88 (v102(constB84) | v104(constB84)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13509, 349, 13494])).
% 73.04/45.88 tff(13511,plain,
% 73.04/45.88 (v102(constB84)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13510, 13506])).
% 73.04/45.88 tff(13512,plain,
% 73.04/45.88 (v1(constB84) <=> v1(constB84)),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13513,axiom,(v1(constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_84_1')).
% 73.04/45.88 tff(13514,plain,
% 73.04/45.88 (v1(constB84)),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13513, 13512])).
% 73.04/45.88 tff(13515,plain,
% 73.04/45.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13516,plain,
% 73.04/45.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))),
% 73.04/45.88 inference(quant_inst,[status(thm)],[])).
% 73.04/45.88 tff(13517,plain,
% 73.04/45.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84))),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13516, 13515])).
% 73.04/45.88 tff(13518,plain,
% 73.04/45.88 (v101(constB84) | (~v102(constB84))),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13517, 367, 13494, 13514])).
% 73.04/45.88 tff(13519,plain,
% 73.04/45.88 (v101(constB84)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13518, 13511])).
% 73.04/45.88 tff(13520,plain,
% 73.04/45.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13521,plain,
% 73.04/45.88 (((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84)) <=> ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13522,plain,
% 73.04/45.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84))))),
% 73.04/45.88 inference(monotonicity,[status(thm)],[13521])).
% 73.04/45.88 tff(13523,plain,
% 73.04/45.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 73.04/45.88 inference(transitivity,[status(thm)],[13522, 13520])).
% 73.04/45.88 tff(13524,plain,
% 73.04/45.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))),
% 73.04/45.88 inference(quant_inst,[status(thm)],[])).
% 73.04/45.88 tff(13525,plain,
% 73.04/45.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84))),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13524, 13523])).
% 73.04/45.88 tff(13526,plain,
% 73.04/45.88 (v100(constB84) | (~v101(constB84)) | (~v110(constB84))),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13525, 382, 13494])).
% 73.04/45.88 tff(13527,plain,
% 73.04/45.88 (v100(constB84) | (~v110(constB84))),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13526, 13519])).
% 73.04/45.88 tff(13528,plain,
% 73.04/45.88 (v100(constB84)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13527, 13502])).
% 73.04/45.88 tff(13529,plain,
% 73.04/45.88 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB83)) | v130(constB83, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB83)) | v130(constB83, bitIndex2))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13530,plain,
% 73.04/45.88 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB83)) | v130(constB83, bitIndex2))),
% 73.04/45.88 inference(quant_inst,[status(thm)],[])).
% 73.04/45.88 tff(13531,plain,
% 73.04/45.88 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB83)) | v130(constB83, bitIndex2)),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13530, 13529])).
% 73.04/45.88 tff(13532,plain,
% 73.04/45.88 (v130(constB83, bitIndex2)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13531, 1786, 13474])).
% 73.04/45.88 tff(13533,plain,
% 73.04/45.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13534,plain,
% 73.04/45.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2))),
% 73.04/45.88 inference(quant_inst,[status(thm)],[])).
% 73.04/45.88 tff(13535,plain,
% 73.04/45.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2)),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13534, 13533])).
% 73.04/45.88 tff(13536,plain,
% 73.04/45.88 (v26(constB83) | v127(constB83, bitIndex2)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13535, 1304, 13532])).
% 73.04/45.88 tff(13537,plain,
% 73.04/45.88 (v127(constB83, bitIndex2)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13536, 7976])).
% 73.04/45.88 tff(13538,plain,
% 73.04/45.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13539,plain,
% 73.04/45.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2))),
% 73.04/45.88 inference(quant_inst,[status(thm)],[])).
% 73.04/45.88 tff(13540,plain,
% 73.04/45.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2)),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13539, 13538])).
% 73.04/45.88 tff(13541,plain,
% 73.04/45.88 ((~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13540, 1319, 13494])).
% 73.04/45.88 tff(13542,plain,
% 73.04/45.88 (v129(constB84, bitIndex2)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13541, 13537])).
% 73.04/45.88 tff(13543,plain,
% 73.04/45.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13544,plain,
% 73.04/45.88 ((v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2))) <=> (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13545,plain,
% 73.04/45.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84))))),
% 73.04/45.88 inference(monotonicity,[status(thm)],[13544])).
% 73.04/45.88 tff(13546,plain,
% 73.04/45.88 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))),
% 73.04/45.88 inference(transitivity,[status(thm)],[13545, 13543])).
% 73.04/45.88 tff(13547,plain,
% 73.04/45.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2)))),
% 73.04/45.88 inference(quant_inst,[status(thm)],[])).
% 73.04/45.88 tff(13548,plain,
% 73.04/45.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84))),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13547, 13546])).
% 73.04/45.88 tff(13549,plain,
% 73.04/45.88 (v90(constB84, bitIndex2) | (~v100(constB84))),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13548, 1334, 13542])).
% 73.04/45.88 tff(13550,plain,
% 73.04/45.88 (v90(constB84, bitIndex2)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13549, 13528])).
% 73.04/45.88 tff(13551,plain,
% 73.04/45.88 ((~v1(constB85)) <=> (~v1(constB85))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13552,axiom,(~v1(constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_85_1_1')).
% 73.04/45.88 tff(13553,plain,
% 73.04/45.88 (~v1(constB85)),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13552, 13551])).
% 73.04/45.88 tff(13554,plain,
% 73.04/45.88 (nextState(constB84, constB85) <=> nextState(constB84, constB85)),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13555,axiom,(nextState(constB84, constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_84_1')).
% 73.04/45.88 tff(13556,plain,
% 73.04/45.88 (nextState(constB84, constB85)),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13555, 13554])).
% 73.04/45.88 tff(13557,plain,
% 73.04/45.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13558,plain,
% 73.04/45.88 (((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85)) <=> (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 73.04/45.88 inference(rewrite,[status(thm)],[])).
% 73.04/45.88 tff(13559,plain,
% 73.04/45.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85))))),
% 73.04/45.88 inference(monotonicity,[status(thm)],[13558])).
% 73.04/45.88 tff(13560,plain,
% 73.04/45.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 73.04/45.88 inference(transitivity,[status(thm)],[13559, 13557])).
% 73.04/45.88 tff(13561,plain,
% 73.04/45.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))),
% 73.04/45.88 inference(quant_inst,[status(thm)],[])).
% 73.04/45.88 tff(13562,plain,
% 73.04/45.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85))),
% 73.04/45.88 inference(modus_ponens,[status(thm)],[13561, 13560])).
% 73.04/45.88 tff(13563,plain,
% 73.04/45.88 (~v101(constB85)),
% 73.04/45.88 inference(unit_resolution,[status(thm)],[13562, 56, 13556, 13553])).
% 73.04/45.88 tff(13564,plain,
% 73.04/45.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13565,plain,
% 73.04/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))),
% 73.04/45.89 inference(quant_inst,[status(thm)],[])).
% 73.04/45.89 tff(13566,plain,
% 73.04/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85))),
% 73.04/45.89 inference(modus_ponens,[status(thm)],[13565, 13564])).
% 73.04/45.89 tff(13567,plain,
% 73.04/45.89 (v101(constB85) | (~v100(constB85))),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13566, 73, 13556])).
% 73.04/45.89 tff(13568,plain,
% 73.04/45.89 (~v100(constB85)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13567, 13563])).
% 73.04/45.89 tff(13569,plain,
% 73.04/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13570,plain,
% 73.04/45.89 (((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2)) <=> ((~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13571,plain,
% 73.04/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2)))),
% 73.04/45.89 inference(monotonicity,[status(thm)],[13570])).
% 73.04/45.89 tff(13572,plain,
% 73.04/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))),
% 73.04/45.89 inference(transitivity,[status(thm)],[13571, 13569])).
% 73.04/45.89 tff(13573,plain,
% 73.04/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2))),
% 73.04/45.89 inference(quant_inst,[status(thm)],[])).
% 73.04/45.89 tff(13574,plain,
% 73.04/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2)),
% 73.04/45.89 inference(modus_ponens,[status(thm)],[13573, 13572])).
% 73.04/45.89 tff(13575,plain,
% 73.04/45.89 ((~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13574, 1370, 13556])).
% 73.04/45.89 tff(13576,plain,
% 73.04/45.89 ((~v90(constB84, bitIndex2)) | v90(constB85, bitIndex2)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13575, 13568])).
% 73.04/45.89 tff(13577,plain,
% 73.04/45.89 (v90(constB85, bitIndex2)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13576, 13550])).
% 73.04/45.89 tff(13578,plain,
% 73.04/45.89 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB83)) | v130(constB83, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB83)) | v130(constB83, bitIndex1))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13579,plain,
% 73.04/45.89 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB83)) | v130(constB83, bitIndex1))),
% 73.04/45.89 inference(quant_inst,[status(thm)],[])).
% 73.04/45.89 tff(13580,plain,
% 73.04/45.89 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB83)) | v130(constB83, bitIndex1)),
% 73.04/45.89 inference(modus_ponens,[status(thm)],[13579, 13578])).
% 73.04/45.89 tff(13581,plain,
% 73.04/45.89 (v130(constB83, bitIndex1)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13580, 1867, 13474])).
% 73.04/45.89 tff(13582,plain,
% 73.04/45.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13583,plain,
% 73.04/45.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1))),
% 73.04/45.89 inference(quant_inst,[status(thm)],[])).
% 73.04/45.89 tff(13584,plain,
% 73.04/45.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1)),
% 73.04/45.89 inference(modus_ponens,[status(thm)],[13583, 13582])).
% 73.04/45.89 tff(13585,plain,
% 73.04/45.89 (v26(constB83) | v127(constB83, bitIndex1)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13584, 824, 13581])).
% 73.04/45.89 tff(13586,plain,
% 73.04/45.89 (v127(constB83, bitIndex1)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13585, 7976])).
% 73.04/45.89 tff(13587,plain,
% 73.04/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13588,plain,
% 73.04/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1))),
% 73.04/45.89 inference(quant_inst,[status(thm)],[])).
% 73.04/45.89 tff(13589,plain,
% 73.04/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1)),
% 73.04/45.89 inference(modus_ponens,[status(thm)],[13588, 13587])).
% 73.04/45.89 tff(13590,plain,
% 73.04/45.89 ((~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13589, 839, 13494])).
% 73.04/45.89 tff(13591,plain,
% 73.04/45.89 (v129(constB84, bitIndex1)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13590, 13586])).
% 73.04/45.89 tff(13592,plain,
% 73.04/45.89 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13593,plain,
% 73.04/45.89 ((v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1))) <=> (v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13594,plain,
% 73.04/45.89 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84))))),
% 73.04/45.89 inference(monotonicity,[status(thm)],[13593])).
% 73.04/45.89 tff(13595,plain,
% 73.04/45.89 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))),
% 73.04/45.89 inference(transitivity,[status(thm)],[13594, 13592])).
% 73.04/45.89 tff(13596,plain,
% 73.04/45.89 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1)))),
% 73.04/45.89 inference(quant_inst,[status(thm)],[])).
% 73.04/45.89 tff(13597,plain,
% 73.04/45.89 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84))),
% 73.04/45.89 inference(modus_ponens,[status(thm)],[13596, 13595])).
% 73.04/45.89 tff(13598,plain,
% 73.04/45.89 (v90(constB84, bitIndex1) | (~v100(constB84))),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13597, 854, 13591])).
% 73.04/45.89 tff(13599,plain,
% 73.04/45.89 (v90(constB84, bitIndex1)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13598, 13528])).
% 73.04/45.89 tff(13600,plain,
% 73.04/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13601,plain,
% 73.04/45.89 (((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1)) <=> ((~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13602,plain,
% 73.04/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1)))),
% 73.04/45.89 inference(monotonicity,[status(thm)],[13601])).
% 73.04/45.89 tff(13603,plain,
% 73.04/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))),
% 73.04/45.89 inference(transitivity,[status(thm)],[13602, 13600])).
% 73.04/45.89 tff(13604,plain,
% 73.04/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1))),
% 73.04/45.89 inference(quant_inst,[status(thm)],[])).
% 73.04/45.89 tff(13605,plain,
% 73.04/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1)),
% 73.04/45.89 inference(modus_ponens,[status(thm)],[13604, 13603])).
% 73.04/45.89 tff(13606,plain,
% 73.04/45.89 ((~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13605, 872, 13556])).
% 73.04/45.89 tff(13607,plain,
% 73.04/45.89 ((~v90(constB84, bitIndex1)) | v90(constB85, bitIndex1)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13606, 13568])).
% 73.04/45.89 tff(13608,plain,
% 73.04/45.89 (v90(constB85, bitIndex1)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13607, 13599])).
% 73.04/45.89 tff(13609,plain,
% 73.04/45.89 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB83)) | (~v130(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB83)) | (~v130(constB83, bitIndex0)))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13610,plain,
% 73.04/45.89 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB83)) | (~v130(constB83, bitIndex0)))),
% 73.04/45.89 inference(quant_inst,[status(thm)],[])).
% 73.04/45.89 tff(13611,plain,
% 73.04/45.89 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB83)) | (~v130(constB83, bitIndex0))),
% 73.04/45.89 inference(modus_ponens,[status(thm)],[13610, 13609])).
% 73.04/45.89 tff(13612,plain,
% 73.04/45.89 (~v130(constB83, bitIndex0)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13611, 1992, 13474])).
% 73.04/45.89 tff(13613,plain,
% 73.04/45.89 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13614,plain,
% 73.04/45.89 ((v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0))) <=> ((~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13615,plain,
% 73.04/45.89 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0)))),
% 73.04/45.89 inference(monotonicity,[status(thm)],[13614])).
% 73.04/45.89 tff(13616,plain,
% 73.04/45.89 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))),
% 73.04/45.89 inference(transitivity,[status(thm)],[13615, 13613])).
% 73.04/45.89 tff(13617,plain,
% 73.04/45.89 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0)))),
% 73.04/45.89 inference(quant_inst,[status(thm)],[])).
% 73.04/45.89 tff(13618,plain,
% 73.04/45.89 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0)),
% 73.04/45.89 inference(modus_ponens,[status(thm)],[13617, 13616])).
% 73.04/45.89 tff(13619,plain,
% 73.04/45.89 ((~v127(constB83, bitIndex0)) | v26(constB83)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13618, 905, 13612])).
% 73.04/45.89 tff(13620,plain,
% 73.04/45.89 (~v127(constB83, bitIndex0)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13619, 7976])).
% 73.04/45.89 tff(13621,plain,
% 73.04/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0)))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13622,plain,
% 73.04/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0)))),
% 73.04/45.89 inference(quant_inst,[status(thm)],[])).
% 73.04/45.89 tff(13623,plain,
% 73.04/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0))),
% 73.04/45.89 inference(modus_ponens,[status(thm)],[13622, 13621])).
% 73.04/45.89 tff(13624,plain,
% 73.04/45.89 (v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0))),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13623, 923, 13494])).
% 73.04/45.89 tff(13625,plain,
% 73.04/45.89 (~v129(constB84, bitIndex0)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13624, 13620])).
% 73.04/45.89 tff(13626,plain,
% 73.04/45.89 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13627,plain,
% 73.04/45.89 (((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0)) <=> ((~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13628,plain,
% 73.04/45.89 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84))))),
% 73.04/45.89 inference(monotonicity,[status(thm)],[13627])).
% 73.04/45.89 tff(13629,plain,
% 73.04/45.89 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))),
% 73.04/45.89 inference(transitivity,[status(thm)],[13628, 13626])).
% 73.04/45.89 tff(13630,plain,
% 73.04/45.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0))),
% 73.04/45.89 inference(quant_inst,[status(thm)],[])).
% 73.04/45.89 tff(13631,plain,
% 73.04/45.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84))),
% 73.04/45.89 inference(modus_ponens,[status(thm)],[13630, 13629])).
% 73.04/45.89 tff(13632,plain,
% 73.04/45.89 ((~v90(constB84, bitIndex0)) | (~v100(constB84))),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13631, 938, 13625])).
% 73.04/45.89 tff(13633,plain,
% 73.04/45.89 (~v90(constB84, bitIndex0)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13632, 13528])).
% 73.04/45.89 tff(13634,plain,
% 73.04/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13635,plain,
% 73.04/45.89 (((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0))) <=> (v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13636,plain,
% 73.04/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0))))),
% 73.04/45.89 inference(monotonicity,[status(thm)],[13635])).
% 73.04/45.89 tff(13637,plain,
% 73.04/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 73.04/45.89 inference(transitivity,[status(thm)],[13636, 13634])).
% 73.04/45.89 tff(13638,plain,
% 73.04/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 73.04/45.89 inference(quant_inst,[status(thm)],[])).
% 73.04/45.89 tff(13639,plain,
% 73.04/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0))),
% 73.04/45.89 inference(modus_ponens,[status(thm)],[13638, 13637])).
% 73.04/45.89 tff(13640,plain,
% 73.04/45.89 (v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0))),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13639, 130, 13556])).
% 73.04/45.89 tff(13641,plain,
% 73.04/45.89 (v90(constB84, bitIndex0) | (~v90(constB85, bitIndex0))),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13640, 13568])).
% 73.04/45.89 tff(13642,plain,
% 73.04/45.89 (~v90(constB85, bitIndex0)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13641, 13633])).
% 73.04/45.89 tff(13643,plain,
% 73.04/45.89 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13644,plain,
% 73.04/45.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85))),
% 73.04/45.89 inference(quant_inst,[status(thm)],[])).
% 73.04/45.89 tff(13645,plain,
% 73.04/45.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85)),
% 73.04/45.89 inference(modus_ponens,[status(thm)],[13644, 13643])).
% 73.04/45.89 tff(13646,plain,
% 73.04/45.89 (v125(constB85)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13645, 2036, 13642, 13608, 13577])).
% 73.04/45.89 tff(13647,plain,
% 73.04/45.89 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB85) | (~v125(constB85)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB85) | (~v125(constB85)))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13648,plain,
% 73.04/45.89 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB85) | (~v125(constB85)))),
% 73.04/45.89 inference(quant_inst,[status(thm)],[])).
% 73.04/45.89 tff(13649,plain,
% 73.04/45.89 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB85) | (~v125(constB85))),
% 73.04/45.89 inference(modus_ponens,[status(thm)],[13648, 13647])).
% 73.04/45.89 tff(13650,plain,
% 73.04/45.89 (v113(constB85)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13649, 2047, 13646])).
% 73.04/45.89 tff(13651,plain,
% 73.04/45.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | v112(constB85) | (~v113(constB85)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13652,plain,
% 73.04/45.89 ((v26(constB85) | (~v113(constB85)) | v112(constB85)) <=> (v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13653,plain,
% 73.04/45.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | v112(constB85) | (~v113(constB85))))),
% 73.04/45.89 inference(monotonicity,[status(thm)],[13652])).
% 73.04/45.89 tff(13654,plain,
% 73.04/45.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 73.04/45.89 inference(transitivity,[status(thm)],[13653, 13651])).
% 73.04/45.89 tff(13655,plain,
% 73.04/45.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))),
% 73.04/45.89 inference(quant_inst,[status(thm)],[])).
% 73.04/45.89 tff(13656,plain,
% 73.04/45.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85))),
% 73.04/45.89 inference(modus_ponens,[status(thm)],[13655, 13654])).
% 73.04/45.89 tff(13657,plain,
% 73.04/45.89 (v26(constB85) | v112(constB85)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13656, 301, 13650])).
% 73.04/45.89 tff(13658,plain,
% 73.04/45.89 (v112(constB85)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13657, 7972])).
% 73.04/45.89 tff(13659,plain,
% 73.04/45.89 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB85) | (~v112(constB85)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB85) | (~v112(constB85)))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13660,plain,
% 73.04/45.89 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB85) | (~v112(constB85)))),
% 73.04/45.89 inference(quant_inst,[status(thm)],[])).
% 73.04/45.89 tff(13661,plain,
% 73.04/45.89 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB85) | (~v112(constB85))),
% 73.04/45.89 inference(modus_ponens,[status(thm)],[13660, 13659])).
% 73.04/45.89 tff(13662,plain,
% 73.04/45.89 (v108(constB85)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13661, 210, 13658])).
% 73.04/45.89 tff(13663,plain,
% 73.04/45.89 (nextState(constB85, constB86) <=> nextState(constB85, constB86)),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13664,axiom,(nextState(constB85, constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_85_1')).
% 73.04/45.89 tff(13665,plain,
% 73.04/45.89 (nextState(constB85, constB86)),
% 73.04/45.89 inference(modus_ponens,[status(thm)],[13664, 13663])).
% 73.04/45.89 tff(13666,plain,
% 73.04/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13667,plain,
% 73.04/45.89 (((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86)) <=> ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13668,plain,
% 73.04/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85))))),
% 73.04/45.89 inference(monotonicity,[status(thm)],[13667])).
% 73.04/45.89 tff(13669,plain,
% 73.04/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 73.04/45.89 inference(transitivity,[status(thm)],[13668, 13666])).
% 73.04/45.89 tff(13670,plain,
% 73.04/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))),
% 73.04/45.89 inference(quant_inst,[status(thm)],[])).
% 73.04/45.89 tff(13671,plain,
% 73.04/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85))),
% 73.04/45.89 inference(modus_ponens,[status(thm)],[13670, 13669])).
% 73.04/45.89 tff(13672,plain,
% 73.04/45.89 (v110(constB86) | (~v108(constB85))),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13671, 317, 13665])).
% 73.04/45.89 tff(13673,plain,
% 73.04/45.89 (v110(constB86)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13672, 13662])).
% 73.04/45.89 tff(13674,plain,
% 73.04/45.89 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13675,plain,
% 73.04/45.89 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))),
% 73.04/45.89 inference(quant_inst,[status(thm)],[])).
% 73.04/45.89 tff(13676,plain,
% 73.04/45.89 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86))),
% 73.04/45.89 inference(modus_ponens,[status(thm)],[13675, 13674])).
% 73.04/45.89 tff(13677,plain,
% 73.04/45.89 (~v104(constB86)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13676, 335, 13665, 13553])).
% 73.04/45.89 tff(13678,plain,
% 73.04/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13679,plain,
% 73.04/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))),
% 73.04/45.89 inference(quant_inst,[status(thm)],[])).
% 73.04/45.89 tff(13680,plain,
% 73.04/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v102(constB86) | v104(constB86)),
% 73.04/45.89 inference(modus_ponens,[status(thm)],[13679, 13678])).
% 73.04/45.89 tff(13681,plain,
% 73.04/45.89 (v102(constB86) | v104(constB86)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13680, 349, 13665])).
% 73.04/45.89 tff(13682,plain,
% 73.04/45.89 (v102(constB86)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13681, 13677])).
% 73.04/45.89 tff(13683,plain,
% 73.04/45.89 (v1(constB86) <=> v1(constB86)),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13684,axiom,(v1(constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_86_1')).
% 73.04/45.89 tff(13685,plain,
% 73.04/45.89 (v1(constB86)),
% 73.04/45.89 inference(modus_ponens,[status(thm)],[13684, 13683])).
% 73.04/45.89 tff(13686,plain,
% 73.04/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13687,plain,
% 73.04/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))),
% 73.04/45.89 inference(quant_inst,[status(thm)],[])).
% 73.04/45.89 tff(13688,plain,
% 73.04/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86))),
% 73.04/45.89 inference(modus_ponens,[status(thm)],[13687, 13686])).
% 73.04/45.89 tff(13689,plain,
% 73.04/45.89 (v101(constB86) | (~v102(constB86))),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13688, 367, 13665, 13685])).
% 73.04/45.89 tff(13690,plain,
% 73.04/45.89 (v101(constB86)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13689, 13682])).
% 73.04/45.89 tff(13691,plain,
% 73.04/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13692,plain,
% 73.04/45.89 (((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86)) <=> ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13693,plain,
% 73.04/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86))))),
% 73.04/45.89 inference(monotonicity,[status(thm)],[13692])).
% 73.04/45.89 tff(13694,plain,
% 73.04/45.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 73.04/45.89 inference(transitivity,[status(thm)],[13693, 13691])).
% 73.04/45.89 tff(13695,plain,
% 73.04/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))),
% 73.04/45.89 inference(quant_inst,[status(thm)],[])).
% 73.04/45.89 tff(13696,plain,
% 73.04/45.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86))),
% 73.04/45.89 inference(modus_ponens,[status(thm)],[13695, 13694])).
% 73.04/45.89 tff(13697,plain,
% 73.04/45.89 (v100(constB86) | (~v101(constB86)) | (~v110(constB86))),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13696, 382, 13665])).
% 73.04/45.89 tff(13698,plain,
% 73.04/45.89 (v100(constB86) | (~v110(constB86))),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13697, 13690])).
% 73.04/45.89 tff(13699,plain,
% 73.04/45.89 (v100(constB86)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13698, 13673])).
% 73.04/45.89 tff(13700,plain,
% 73.04/45.89 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB85, bitIndex2)) | (~v121(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB85, bitIndex2)) | (~v121(constB85)))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13701,plain,
% 73.04/45.89 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB85, bitIndex2)) | (~v121(constB85)))),
% 73.04/45.89 inference(quant_inst,[status(thm)],[])).
% 73.04/45.89 tff(13702,plain,
% 73.04/45.89 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB85, bitIndex2)) | (~v121(constB85))),
% 73.04/45.89 inference(modus_ponens,[status(thm)],[13701, 13700])).
% 73.04/45.89 tff(13703,plain,
% 73.04/45.89 (~v121(constB85)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13702, 1842, 13577])).
% 73.04/45.89 tff(13704,plain,
% 73.04/45.89 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB85, bitIndex2)) | (~v122(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB85, bitIndex2)) | (~v122(constB85)))),
% 73.04/45.89 inference(rewrite,[status(thm)],[])).
% 73.04/45.89 tff(13705,plain,
% 73.04/45.89 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB85, bitIndex2)) | (~v122(constB85)))),
% 73.04/45.89 inference(quant_inst,[status(thm)],[])).
% 73.04/45.89 tff(13706,plain,
% 73.04/45.89 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB85, bitIndex2)) | (~v122(constB85))),
% 73.04/45.89 inference(modus_ponens,[status(thm)],[13705, 13704])).
% 73.04/45.89 tff(13707,plain,
% 73.04/45.89 (~v122(constB85)),
% 73.04/45.89 inference(unit_resolution,[status(thm)],[13706, 1853, 13577])).
% 73.04/45.89 tff(13708,plain,
% 73.04/45.89 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB85)) | (~v90(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB85)) | (~v90(constB85, bitIndex1)))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13709,plain,
% 73.04/45.90 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB85)) | (~v90(constB85, bitIndex1)))),
% 73.04/45.90 inference(quant_inst,[status(thm)],[])).
% 73.04/45.90 tff(13710,plain,
% 73.04/45.90 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB85)) | (~v90(constB85, bitIndex1))),
% 73.04/45.90 inference(modus_ponens,[status(thm)],[13709, 13708])).
% 73.04/45.90 tff(13711,plain,
% 73.04/45.90 (~v119(constB85)),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13710, 1908, 13608])).
% 73.04/45.90 tff(13712,plain,
% 73.04/45.90 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v120(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v120(constB85)))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13713,plain,
% 73.04/45.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v120(constB85)))),
% 73.04/45.90 inference(quant_inst,[status(thm)],[])).
% 73.04/45.90 tff(13714,plain,
% 73.04/45.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v120(constB85))),
% 73.04/45.90 inference(modus_ponens,[status(thm)],[13713, 13712])).
% 73.04/45.90 tff(13715,plain,
% 73.04/45.90 (~v120(constB85)),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13714, 1919, 13608])).
% 73.04/45.90 tff(13716,plain,
% 73.04/45.90 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v123(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v123(constB85)))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13717,plain,
% 73.04/45.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v123(constB85)))),
% 73.04/45.90 inference(quant_inst,[status(thm)],[])).
% 73.04/45.90 tff(13718,plain,
% 73.04/45.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v123(constB85))),
% 73.04/45.90 inference(modus_ponens,[status(thm)],[13717, 13716])).
% 73.04/45.90 tff(13719,plain,
% 73.04/45.90 (~v123(constB85)),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13718, 1930, 13608])).
% 73.04/45.90 tff(13720,plain,
% 73.04/45.90 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v124(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v124(constB85)))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13721,plain,
% 73.04/45.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v124(constB85)))),
% 73.04/45.90 inference(quant_inst,[status(thm)],[])).
% 73.04/45.90 tff(13722,plain,
% 73.04/45.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v124(constB85))),
% 73.04/45.90 inference(modus_ponens,[status(thm)],[13721, 13720])).
% 73.04/45.90 tff(13723,plain,
% 73.04/45.90 (~v124(constB85)),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13722, 1941, 13608])).
% 73.04/45.90 tff(13724,plain,
% 73.04/45.90 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB85, bitIndex2)) | v123(constB85) | v124(constB85) | v119(constB85) | v122(constB85) | v120(constB85) | v121(constB85))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB85, bitIndex2)) | v123(constB85) | v124(constB85) | v119(constB85) | v122(constB85) | v120(constB85) | v121(constB85))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13725,plain,
% 73.04/45.90 ((v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2))) <=> ((~v130(constB85, bitIndex2)) | v123(constB85) | v124(constB85) | v119(constB85) | v122(constB85) | v120(constB85) | v121(constB85))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13726,plain,
% 73.04/45.90 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB85, bitIndex2)) | v123(constB85) | v124(constB85) | v119(constB85) | v122(constB85) | v120(constB85) | v121(constB85)))),
% 73.04/45.90 inference(monotonicity,[status(thm)],[13725])).
% 73.04/45.90 tff(13727,plain,
% 73.04/45.90 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB85, bitIndex2)) | v123(constB85) | v124(constB85) | v119(constB85) | v122(constB85) | v120(constB85) | v121(constB85))),
% 73.04/45.90 inference(transitivity,[status(thm)],[13726, 13724])).
% 73.04/45.90 tff(13728,plain,
% 73.04/45.90 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2)))),
% 73.04/45.90 inference(quant_inst,[status(thm)],[])).
% 73.04/45.90 tff(13729,plain,
% 73.04/45.90 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB85, bitIndex2)) | v123(constB85) | v124(constB85) | v119(constB85) | v122(constB85) | v120(constB85) | v121(constB85)),
% 73.04/45.90 inference(modus_ponens,[status(thm)],[13728, 13727])).
% 73.04/45.90 tff(13730,plain,
% 73.04/45.90 (~v130(constB85, bitIndex2)),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13729, 1955, 13723, 13719, 13715, 13711, 13707, 13703])).
% 73.04/45.90 tff(13731,plain,
% 73.04/45.90 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13732,plain,
% 73.04/45.90 ((v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2))) <=> ((~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13733,plain,
% 73.04/45.90 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2)))),
% 73.04/45.90 inference(monotonicity,[status(thm)],[13732])).
% 73.04/45.90 tff(13734,plain,
% 73.04/45.90 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))),
% 73.04/45.90 inference(transitivity,[status(thm)],[13733, 13731])).
% 73.04/45.90 tff(13735,plain,
% 73.04/45.90 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2)))),
% 73.04/45.90 inference(quant_inst,[status(thm)],[])).
% 73.04/45.90 tff(13736,plain,
% 73.04/45.90 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2)),
% 73.04/45.90 inference(modus_ponens,[status(thm)],[13735, 13734])).
% 73.04/45.90 tff(13737,plain,
% 73.04/45.90 ((~v127(constB85, bitIndex2)) | v26(constB85)),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13736, 470, 13730])).
% 73.04/45.90 tff(13738,plain,
% 73.04/45.90 (~v127(constB85, bitIndex2)),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13737, 7972])).
% 73.04/45.90 tff(13739,plain,
% 73.04/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2)))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13740,plain,
% 73.04/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2)))),
% 73.04/45.90 inference(quant_inst,[status(thm)],[])).
% 73.04/45.90 tff(13741,plain,
% 73.04/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2))),
% 73.04/45.90 inference(modus_ponens,[status(thm)],[13740, 13739])).
% 73.04/45.90 tff(13742,plain,
% 73.04/45.90 (v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2))),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13741, 488, 13665])).
% 73.04/45.90 tff(13743,plain,
% 73.04/45.90 (~v129(constB86, bitIndex2)),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13742, 13738])).
% 73.04/45.90 tff(13744,plain,
% 73.04/45.90 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13745,plain,
% 73.04/45.90 (((~v90(constB86, bitIndex2)) | (~v100(constB86)) | v129(constB86, bitIndex2)) <=> ((~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13746,plain,
% 73.04/45.90 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB86, bitIndex2)) | (~v100(constB86)) | v129(constB86, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86))))),
% 73.04/45.90 inference(monotonicity,[status(thm)],[13745])).
% 73.04/45.90 tff(13747,plain,
% 73.04/45.90 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB86, bitIndex2)) | (~v100(constB86)) | v129(constB86, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))),
% 73.04/45.90 inference(transitivity,[status(thm)],[13746, 13744])).
% 73.04/45.90 tff(13748,plain,
% 73.04/45.90 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB86, bitIndex2)) | (~v100(constB86)) | v129(constB86, bitIndex2))),
% 73.04/45.90 inference(quant_inst,[status(thm)],[])).
% 73.04/45.90 tff(13749,plain,
% 73.04/45.90 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86))),
% 73.04/45.90 inference(modus_ponens,[status(thm)],[13748, 13747])).
% 73.04/45.90 tff(13750,plain,
% 73.04/45.90 ((~v90(constB86, bitIndex2)) | (~v100(constB86))),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13749, 503, 13743])).
% 73.04/45.90 tff(13751,plain,
% 73.04/45.90 (~v90(constB86, bitIndex2)),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13750, 13699])).
% 73.04/45.90 tff(13752,plain,
% 73.04/45.90 ((~v1(constB87)) <=> (~v1(constB87))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13753,axiom,(~v1(constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_87_1_1')).
% 73.04/45.90 tff(13754,plain,
% 73.04/45.90 (~v1(constB87)),
% 73.04/45.90 inference(modus_ponens,[status(thm)],[13753, 13752])).
% 73.04/45.90 tff(13755,plain,
% 73.04/45.90 (nextState(constB86, constB87) <=> nextState(constB86, constB87)),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13756,axiom,(nextState(constB86, constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_86_1')).
% 73.04/45.90 tff(13757,plain,
% 73.04/45.90 (nextState(constB86, constB87)),
% 73.04/45.90 inference(modus_ponens,[status(thm)],[13756, 13755])).
% 73.04/45.90 tff(13758,plain,
% 73.04/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13759,plain,
% 73.04/45.90 (((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87)) <=> (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13760,plain,
% 73.04/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87))))),
% 73.04/45.90 inference(monotonicity,[status(thm)],[13759])).
% 73.04/45.90 tff(13761,plain,
% 73.04/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 73.04/45.90 inference(transitivity,[status(thm)],[13760, 13758])).
% 73.04/45.90 tff(13762,plain,
% 73.04/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))),
% 73.04/45.90 inference(quant_inst,[status(thm)],[])).
% 73.04/45.90 tff(13763,plain,
% 73.04/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87))),
% 73.04/45.90 inference(modus_ponens,[status(thm)],[13762, 13761])).
% 73.04/45.90 tff(13764,plain,
% 73.04/45.90 (~v101(constB87)),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13763, 56, 13757, 13754])).
% 73.04/45.90 tff(13765,plain,
% 73.04/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13766,plain,
% 73.04/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))),
% 73.04/45.90 inference(quant_inst,[status(thm)],[])).
% 73.04/45.90 tff(13767,plain,
% 73.04/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87))),
% 73.04/45.90 inference(modus_ponens,[status(thm)],[13766, 13765])).
% 73.04/45.90 tff(13768,plain,
% 73.04/45.90 (v101(constB87) | (~v100(constB87))),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13767, 73, 13757])).
% 73.04/45.90 tff(13769,plain,
% 73.04/45.90 (~v100(constB87)),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13768, 13764])).
% 73.04/45.90 tff(13770,plain,
% 73.04/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13771,plain,
% 73.04/45.90 (((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2))) <=> (v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13772,plain,
% 73.04/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2))))),
% 73.04/45.90 inference(monotonicity,[status(thm)],[13771])).
% 73.04/45.90 tff(13773,plain,
% 73.04/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 73.04/45.90 inference(transitivity,[status(thm)],[13772, 13770])).
% 73.04/45.90 tff(13774,plain,
% 73.04/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 73.04/45.90 inference(quant_inst,[status(thm)],[])).
% 73.04/45.90 tff(13775,plain,
% 73.04/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2))),
% 73.04/45.90 inference(modus_ponens,[status(thm)],[13774, 13773])).
% 73.04/45.90 tff(13776,plain,
% 73.04/45.90 (v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2))),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13775, 88, 13757])).
% 73.04/45.90 tff(13777,plain,
% 73.04/45.90 (v90(constB86, bitIndex2) | (~v90(constB87, bitIndex2))),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13776, 13769])).
% 73.04/45.90 tff(13778,plain,
% 73.04/45.90 (~v90(constB87, bitIndex2)),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13777, 13751])).
% 73.04/45.90 tff(13779,plain,
% 73.04/45.90 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB85) | v124(constB85) | v119(constB85) | v122(constB85) | v120(constB85) | v121(constB85) | (~v130(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB85) | v124(constB85) | v119(constB85) | v122(constB85) | v120(constB85) | v121(constB85) | (~v130(constB85, bitIndex1)))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13780,plain,
% 73.04/45.90 ((v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1))) <=> (v123(constB85) | v124(constB85) | v119(constB85) | v122(constB85) | v120(constB85) | v121(constB85) | (~v130(constB85, bitIndex1)))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13781,plain,
% 73.04/45.90 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB85) | v124(constB85) | v119(constB85) | v122(constB85) | v120(constB85) | v121(constB85) | (~v130(constB85, bitIndex1))))),
% 73.04/45.90 inference(monotonicity,[status(thm)],[13780])).
% 73.04/45.90 tff(13782,plain,
% 73.04/45.90 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB85) | v124(constB85) | v119(constB85) | v122(constB85) | v120(constB85) | v121(constB85) | (~v130(constB85, bitIndex1)))),
% 73.04/45.90 inference(transitivity,[status(thm)],[13781, 13779])).
% 73.04/45.90 tff(13783,plain,
% 73.04/45.90 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1)))),
% 73.04/45.90 inference(quant_inst,[status(thm)],[])).
% 73.04/45.90 tff(13784,plain,
% 73.04/45.90 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB85) | v124(constB85) | v119(constB85) | v122(constB85) | v120(constB85) | v121(constB85) | (~v130(constB85, bitIndex1))),
% 73.04/45.90 inference(modus_ponens,[status(thm)],[13783, 13782])).
% 73.04/45.90 tff(13785,plain,
% 73.04/45.90 (~v130(constB85, bitIndex1)),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13784, 2146, 13723, 13719, 13715, 13711, 13707, 13703])).
% 73.04/45.90 tff(13786,plain,
% 73.04/45.90 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13787,plain,
% 73.04/45.90 ((v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1))) <=> ((~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13788,plain,
% 73.04/45.90 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1)))),
% 73.04/45.90 inference(monotonicity,[status(thm)],[13787])).
% 73.04/45.90 tff(13789,plain,
% 73.04/45.90 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))),
% 73.04/45.90 inference(transitivity,[status(thm)],[13788, 13786])).
% 73.04/45.90 tff(13790,plain,
% 73.04/45.90 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1)))),
% 73.04/45.90 inference(quant_inst,[status(thm)],[])).
% 73.04/45.90 tff(13791,plain,
% 73.04/45.90 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1)),
% 73.04/45.90 inference(modus_ponens,[status(thm)],[13790, 13789])).
% 73.04/45.90 tff(13792,plain,
% 73.04/45.90 ((~v127(constB85, bitIndex1)) | v26(constB85)),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13791, 555, 13785])).
% 73.04/45.90 tff(13793,plain,
% 73.04/45.90 (~v127(constB85, bitIndex1)),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13792, 7972])).
% 73.04/45.90 tff(13794,plain,
% 73.04/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1)))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13795,plain,
% 73.04/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1)))),
% 73.04/45.90 inference(quant_inst,[status(thm)],[])).
% 73.04/45.90 tff(13796,plain,
% 73.04/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1))),
% 73.04/45.90 inference(modus_ponens,[status(thm)],[13795, 13794])).
% 73.04/45.90 tff(13797,plain,
% 73.04/45.90 (v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1))),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13796, 588, 13665])).
% 73.04/45.90 tff(13798,plain,
% 73.04/45.90 (~v129(constB86, bitIndex1)),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13797, 13793])).
% 73.04/45.90 tff(13799,plain,
% 73.04/45.90 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13800,plain,
% 73.04/45.90 (((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1)) <=> ((~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13801,plain,
% 73.04/45.90 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86))))),
% 73.04/45.90 inference(monotonicity,[status(thm)],[13800])).
% 73.04/45.90 tff(13802,plain,
% 73.04/45.90 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))),
% 73.04/45.90 inference(transitivity,[status(thm)],[13801, 13799])).
% 73.04/45.90 tff(13803,plain,
% 73.04/45.90 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1))),
% 73.04/45.90 inference(quant_inst,[status(thm)],[])).
% 73.04/45.90 tff(13804,plain,
% 73.04/45.90 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86))),
% 73.04/45.90 inference(modus_ponens,[status(thm)],[13803, 13802])).
% 73.04/45.90 tff(13805,plain,
% 73.04/45.90 ((~v90(constB86, bitIndex1)) | (~v100(constB86))),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13804, 603, 13798])).
% 73.04/45.90 tff(13806,plain,
% 73.04/45.90 (~v90(constB86, bitIndex1)),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13805, 13699])).
% 73.04/45.90 tff(13807,plain,
% 73.04/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13808,plain,
% 73.04/45.90 (((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1))) <=> (v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13809,plain,
% 73.04/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1))))),
% 73.04/45.90 inference(monotonicity,[status(thm)],[13808])).
% 73.04/45.90 tff(13810,plain,
% 73.04/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 73.04/45.90 inference(transitivity,[status(thm)],[13809, 13807])).
% 73.04/45.90 tff(13811,plain,
% 73.04/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 73.04/45.90 inference(quant_inst,[status(thm)],[])).
% 73.04/45.90 tff(13812,plain,
% 73.04/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1))),
% 73.04/45.90 inference(modus_ponens,[status(thm)],[13811, 13810])).
% 73.04/45.90 tff(13813,plain,
% 73.04/45.90 (v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1))),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13812, 109, 13757])).
% 73.04/45.90 tff(13814,plain,
% 73.04/45.90 (v90(constB86, bitIndex1) | (~v90(constB87, bitIndex1))),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13813, 13769])).
% 73.04/45.90 tff(13815,plain,
% 73.04/45.90 (~v90(constB87, bitIndex1)),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13814, 13806])).
% 73.04/45.90 tff(13816,plain,
% 73.04/45.90 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB85) | v124(constB85) | v119(constB85) | v122(constB85) | v120(constB85) | v121(constB85) | v130(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB85) | v124(constB85) | v119(constB85) | v122(constB85) | v120(constB85) | v121(constB85) | v130(constB85, bitIndex0))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13817,plain,
% 73.04/45.90 ((v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0)) <=> (v123(constB85) | v124(constB85) | v119(constB85) | v122(constB85) | v120(constB85) | v121(constB85) | v130(constB85, bitIndex0))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13818,plain,
% 73.04/45.90 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB85) | v124(constB85) | v119(constB85) | v122(constB85) | v120(constB85) | v121(constB85) | v130(constB85, bitIndex0)))),
% 73.04/45.90 inference(monotonicity,[status(thm)],[13817])).
% 73.04/45.90 tff(13819,plain,
% 73.04/45.90 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB85) | v124(constB85) | v119(constB85) | v122(constB85) | v120(constB85) | v121(constB85) | v130(constB85, bitIndex0))),
% 73.04/45.90 inference(transitivity,[status(thm)],[13818, 13816])).
% 73.04/45.90 tff(13820,plain,
% 73.04/45.90 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0))),
% 73.04/45.90 inference(quant_inst,[status(thm)],[])).
% 73.04/45.90 tff(13821,plain,
% 73.04/45.90 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB85) | v124(constB85) | v119(constB85) | v122(constB85) | v120(constB85) | v121(constB85) | v130(constB85, bitIndex0)),
% 73.04/45.90 inference(modus_ponens,[status(thm)],[13820, 13819])).
% 73.04/45.90 tff(13822,plain,
% 73.04/45.90 (v130(constB85, bitIndex0)),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13821, 2192, 13723, 13719, 13715, 13711, 13707, 13703])).
% 73.04/45.90 tff(13823,plain,
% 73.04/45.90 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13824,plain,
% 73.04/45.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0))),
% 73.04/45.90 inference(quant_inst,[status(thm)],[])).
% 73.04/45.90 tff(13825,plain,
% 73.04/45.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0)),
% 73.04/45.90 inference(modus_ponens,[status(thm)],[13824, 13823])).
% 73.04/45.90 tff(13826,plain,
% 73.04/45.90 (v26(constB85) | v127(constB85, bitIndex0)),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13825, 179, 13822])).
% 73.04/45.90 tff(13827,plain,
% 73.04/45.90 (v127(constB85, bitIndex0)),
% 73.04/45.90 inference(unit_resolution,[status(thm)],[13826, 7972])).
% 73.04/45.90 tff(13828,plain,
% 73.04/45.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0))),
% 73.04/45.90 inference(rewrite,[status(thm)],[])).
% 73.04/45.90 tff(13829,plain,
% 73.04/45.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0))),
% 73.04/45.91 inference(quant_inst,[status(thm)],[])).
% 73.04/45.91 tff(13830,plain,
% 73.04/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0)),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13829, 13828])).
% 73.04/45.91 tff(13831,plain,
% 73.04/45.91 ((~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13830, 197, 13665])).
% 73.04/45.91 tff(13832,plain,
% 73.04/45.91 (v129(constB86, bitIndex0)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13831, 13827])).
% 73.04/45.91 tff(13833,plain,
% 73.04/45.91 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13834,plain,
% 73.04/45.91 ((v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0))) <=> (v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13835,plain,
% 73.04/45.91 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86))))),
% 73.04/45.91 inference(monotonicity,[status(thm)],[13834])).
% 73.04/45.91 tff(13836,plain,
% 73.04/45.91 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))),
% 73.04/45.91 inference(transitivity,[status(thm)],[13835, 13833])).
% 73.04/45.91 tff(13837,plain,
% 73.04/45.91 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0)))),
% 73.04/45.91 inference(quant_inst,[status(thm)],[])).
% 73.04/45.91 tff(13838,plain,
% 73.04/45.91 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86))),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13837, 13836])).
% 73.04/45.91 tff(13839,plain,
% 73.04/45.91 (v90(constB86, bitIndex0) | (~v100(constB86))),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13838, 401, 13832])).
% 73.04/45.91 tff(13840,plain,
% 73.04/45.91 (v90(constB86, bitIndex0)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13839, 13699])).
% 73.04/45.91 tff(13841,plain,
% 73.04/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13842,plain,
% 73.04/45.91 (((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0)) <=> ((~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13843,plain,
% 73.04/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0)))),
% 73.04/45.91 inference(monotonicity,[status(thm)],[13842])).
% 73.04/45.91 tff(13844,plain,
% 73.04/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))),
% 73.04/45.91 inference(transitivity,[status(thm)],[13843, 13841])).
% 73.04/45.91 tff(13845,plain,
% 73.04/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0))),
% 73.04/45.91 inference(quant_inst,[status(thm)],[])).
% 73.04/45.91 tff(13846,plain,
% 73.04/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0)),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13845, 13844])).
% 73.04/45.91 tff(13847,plain,
% 73.04/45.91 ((~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13846, 437, 13757])).
% 73.04/45.91 tff(13848,plain,
% 73.04/45.91 ((~v90(constB86, bitIndex0)) | v90(constB87, bitIndex0)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13847, 13769])).
% 73.04/45.91 tff(13849,plain,
% 73.04/45.91 (v90(constB87, bitIndex0)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13848, 13840])).
% 73.04/45.91 tff(13850,plain,
% 73.04/45.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13851,plain,
% 73.04/45.91 (((~v90(constB87, bitIndex0)) | v120(constB87) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2)) <=> ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13852,plain,
% 73.04/45.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB87, bitIndex0)) | v120(constB87) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87)))),
% 73.04/45.91 inference(monotonicity,[status(thm)],[13851])).
% 73.04/45.91 tff(13853,plain,
% 73.04/45.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB87, bitIndex0)) | v120(constB87) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))),
% 73.04/45.91 inference(transitivity,[status(thm)],[13852, 13850])).
% 73.04/45.91 tff(13854,plain,
% 73.04/45.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB87, bitIndex0)) | v120(constB87) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2))),
% 73.04/45.91 inference(quant_inst,[status(thm)],[])).
% 73.04/45.91 tff(13855,plain,
% 73.04/45.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87)),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13854, 13853])).
% 73.04/45.91 tff(13856,plain,
% 73.04/45.91 (v120(constB87)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13855, 631, 13849, 13815, 13778])).
% 73.04/45.91 tff(13857,plain,
% 73.04/45.91 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB87)) | (~v130(constB87, bitIndex2)))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13858,plain,
% 73.04/45.91 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex2)))),
% 73.04/45.91 inference(quant_inst,[status(thm)],[])).
% 73.04/45.91 tff(13859,plain,
% 73.04/45.91 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB87)) | (~v130(constB87, bitIndex2))),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13858, 13857])).
% 73.04/45.91 tff(13860,plain,
% 73.04/45.91 (~v130(constB87, bitIndex2)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13859, 730, 13856])).
% 73.04/45.91 tff(13861,assumption,(v26(constB87)), introduced(assumption)).
% 73.04/45.91 tff(13862,plain,
% 73.04/45.91 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB87))),
% 73.04/45.91 inference(quant_inst,[status(thm)],[])).
% 73.04/45.91 tff(13863,plain,
% 73.04/45.91 ($false),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13862, 37, 13861])).
% 73.04/45.91 tff(13864,plain,(~v26(constB87)), inference(lemma,lemma(discharge,[]))).
% 73.04/45.91 tff(13865,plain,
% 73.04/45.91 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13866,plain,
% 73.04/45.91 ((v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2))) <=> ((~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13867,plain,
% 73.04/45.91 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2)))),
% 73.04/45.91 inference(monotonicity,[status(thm)],[13866])).
% 73.04/45.91 tff(13868,plain,
% 73.04/45.91 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))),
% 73.04/45.91 inference(transitivity,[status(thm)],[13867, 13865])).
% 73.04/45.91 tff(13869,plain,
% 73.04/45.91 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2)))),
% 73.04/45.91 inference(quant_inst,[status(thm)],[])).
% 73.04/45.91 tff(13870,plain,
% 73.04/45.91 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2)),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13869, 13868])).
% 73.04/45.91 tff(13871,plain,
% 73.04/45.91 ((~v127(constB87, bitIndex2)) | v130(constB87, bitIndex2)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13870, 470, 13864])).
% 73.04/45.91 tff(13872,plain,
% 73.04/45.91 (~v127(constB87, bitIndex2)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13871, 13860])).
% 73.04/45.91 tff(13873,plain,
% 73.04/45.91 (nextState(constB87, constB88) <=> nextState(constB87, constB88)),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13874,axiom,(nextState(constB87, constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_87_1')).
% 73.04/45.91 tff(13875,plain,
% 73.04/45.91 (nextState(constB87, constB88)),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13874, 13873])).
% 73.04/45.91 tff(13876,plain,
% 73.04/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2)))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13877,plain,
% 73.04/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2)))),
% 73.04/45.91 inference(quant_inst,[status(thm)],[])).
% 73.04/45.91 tff(13878,plain,
% 73.04/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2))),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13877, 13876])).
% 73.04/45.91 tff(13879,plain,
% 73.04/45.91 (v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2))),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13878, 488, 13875])).
% 73.04/45.91 tff(13880,plain,
% 73.04/45.91 (~v129(constB88, bitIndex2)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13879, 13872])).
% 73.04/45.91 tff(13881,assumption,(~v100(constB88)), introduced(assumption)).
% 73.04/45.91 tff(13882,plain,
% 73.04/45.91 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13883,plain,
% 73.04/45.91 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))),
% 73.04/45.91 inference(quant_inst,[status(thm)],[])).
% 73.04/45.91 tff(13884,plain,
% 73.04/45.91 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88))),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13883, 13882])).
% 73.04/45.91 tff(13885,plain,
% 73.04/45.91 (~v104(constB88)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13884, 335, 13875, 13754])).
% 73.04/45.91 tff(13886,plain,
% 73.04/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13887,plain,
% 73.04/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))),
% 73.04/45.91 inference(quant_inst,[status(thm)],[])).
% 73.04/45.91 tff(13888,plain,
% 73.04/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v102(constB88) | v104(constB88)),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13887, 13886])).
% 73.04/45.91 tff(13889,plain,
% 73.04/45.91 (v102(constB88) | v104(constB88)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13888, 349, 13875])).
% 73.04/45.91 tff(13890,plain,
% 73.04/45.91 (v102(constB88)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13889, 13885])).
% 73.04/45.91 tff(13891,plain,
% 73.04/45.91 (v1(constB88) <=> v1(constB88)),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13892,axiom,(v1(constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_88_1')).
% 73.04/45.91 tff(13893,plain,
% 73.04/45.91 (v1(constB88)),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13892, 13891])).
% 73.04/45.91 tff(13894,plain,
% 73.04/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13895,plain,
% 73.04/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))),
% 73.04/45.91 inference(quant_inst,[status(thm)],[])).
% 73.04/45.91 tff(13896,plain,
% 73.04/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88))),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13895, 13894])).
% 73.04/45.91 tff(13897,plain,
% 73.04/45.91 (v101(constB88) | (~v102(constB88))),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13896, 367, 13875, 13893])).
% 73.04/45.91 tff(13898,plain,
% 73.04/45.91 (v101(constB88)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13897, 13890])).
% 73.04/45.91 tff(13899,plain,
% 73.04/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13900,plain,
% 73.04/45.91 (((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88)) <=> ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13901,plain,
% 73.04/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88))))),
% 73.04/45.91 inference(monotonicity,[status(thm)],[13900])).
% 73.04/45.91 tff(13902,plain,
% 73.04/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 73.04/45.91 inference(transitivity,[status(thm)],[13901, 13899])).
% 73.04/45.91 tff(13903,plain,
% 73.04/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))),
% 73.04/45.91 inference(quant_inst,[status(thm)],[])).
% 73.04/45.91 tff(13904,plain,
% 73.04/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88))),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13903, 13902])).
% 73.04/45.91 tff(13905,plain,
% 73.04/45.91 (v100(constB88) | (~v101(constB88)) | (~v110(constB88))),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13904, 382, 13875])).
% 73.04/45.91 tff(13906,plain,
% 73.04/45.91 (v100(constB88) | (~v110(constB88))),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13905, 13898])).
% 73.04/45.91 tff(13907,plain,
% 73.04/45.91 (~v110(constB88)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13906, 13881])).
% 73.04/45.91 tff(13908,plain,
% 73.04/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13909,plain,
% 73.04/45.91 (((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88)) <=> ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13910,plain,
% 73.04/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87))))),
% 73.04/45.91 inference(monotonicity,[status(thm)],[13909])).
% 73.04/45.91 tff(13911,plain,
% 73.04/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 73.04/45.91 inference(transitivity,[status(thm)],[13910, 13908])).
% 73.04/45.91 tff(13912,plain,
% 73.04/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))),
% 73.04/45.91 inference(quant_inst,[status(thm)],[])).
% 73.04/45.91 tff(13913,plain,
% 73.04/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87))),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13912, 13911])).
% 73.04/45.91 tff(13914,plain,
% 73.04/45.91 (v110(constB88) | (~v108(constB87))),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13913, 317, 13875])).
% 73.04/45.91 tff(13915,plain,
% 73.04/45.91 (~v108(constB87)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13914, 13907])).
% 73.04/45.91 tff(13916,plain,
% 73.04/45.91 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB87) | (~v112(constB87)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB87) | (~v112(constB87)))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13917,plain,
% 73.04/45.91 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB87) | (~v112(constB87)))),
% 73.04/45.91 inference(quant_inst,[status(thm)],[])).
% 73.04/45.91 tff(13918,plain,
% 73.04/45.91 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB87) | (~v112(constB87))),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13917, 13916])).
% 73.04/45.91 tff(13919,plain,
% 73.04/45.91 (~v112(constB87)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13918, 210, 13915])).
% 73.04/45.91 tff(13920,plain,
% 73.04/45.91 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | v112(constB87) | (~v113(constB87)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | v112(constB87) | (~v113(constB87)))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13921,plain,
% 73.04/45.91 ((v26(constB87) | (~v113(constB87)) | v112(constB87)) <=> (v26(constB87) | v112(constB87) | (~v113(constB87)))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13922,plain,
% 73.04/45.91 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | v112(constB87) | (~v113(constB87))))),
% 73.04/45.91 inference(monotonicity,[status(thm)],[13921])).
% 73.04/45.91 tff(13923,plain,
% 73.04/45.91 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | v112(constB87) | (~v113(constB87)))),
% 73.04/45.91 inference(transitivity,[status(thm)],[13922, 13920])).
% 73.04/45.91 tff(13924,plain,
% 73.04/45.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))),
% 73.04/45.91 inference(quant_inst,[status(thm)],[])).
% 73.04/45.91 tff(13925,plain,
% 73.04/45.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | v112(constB87) | (~v113(constB87))),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13924, 13923])).
% 73.04/45.91 tff(13926,plain,
% 73.04/45.91 (v112(constB87) | (~v113(constB87))),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13925, 301, 13864])).
% 73.04/45.91 tff(13927,plain,
% 73.04/45.91 (~v113(constB87)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13926, 13919])).
% 73.04/45.91 tff(13928,plain,
% 73.04/45.91 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB87) | (~v114(constB87)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB87) | (~v114(constB87)))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13929,plain,
% 73.04/45.91 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB87) | (~v114(constB87)))),
% 73.04/45.91 inference(quant_inst,[status(thm)],[])).
% 73.04/45.91 tff(13930,plain,
% 73.04/45.91 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB87) | (~v114(constB87))),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13929, 13928])).
% 73.04/45.91 tff(13931,plain,
% 73.04/45.91 (~v114(constB87)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13930, 287, 13927])).
% 73.04/45.91 tff(13932,plain,
% 73.04/45.91 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB87) | (~v115(constB87)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB87) | (~v115(constB87)))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13933,plain,
% 73.04/45.91 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB87) | (~v115(constB87)))),
% 73.04/45.91 inference(quant_inst,[status(thm)],[])).
% 73.04/45.91 tff(13934,plain,
% 73.04/45.91 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB87) | (~v115(constB87))),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13933, 13932])).
% 73.04/45.91 tff(13935,plain,
% 73.04/45.91 (~v115(constB87)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13934, 276, 13931])).
% 73.04/45.91 tff(13936,plain,
% 73.04/45.91 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB87) | (~v123(constB87)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB87) | (~v123(constB87)))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13937,plain,
% 73.04/45.91 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB87) | (~v123(constB87)))),
% 73.04/45.91 inference(quant_inst,[status(thm)],[])).
% 73.04/45.91 tff(13938,plain,
% 73.04/45.91 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB87) | (~v123(constB87))),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13937, 13936])).
% 73.04/45.91 tff(13939,plain,
% 73.04/45.91 (~v123(constB87)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13938, 1488, 13935])).
% 73.04/45.91 tff(13940,assumption,(~v90(constB87, bitIndex1)), introduced(assumption)).
% 73.04/45.91 tff(13941,plain,
% 73.04/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB87, bitIndex1) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB87, bitIndex1) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex1)))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13942,plain,
% 73.04/45.91 (((~nextState(constB87, constB88)) | v90(constB87, bitIndex1) | v100(constB88) | (~v90(constB88, bitIndex1))) <=> (v90(constB87, bitIndex1) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex1)))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13943,plain,
% 73.04/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB87, constB88)) | v90(constB87, bitIndex1) | v100(constB88) | (~v90(constB88, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB87, bitIndex1) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex1))))),
% 73.04/45.91 inference(monotonicity,[status(thm)],[13942])).
% 73.04/45.91 tff(13944,plain,
% 73.04/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB87, constB88)) | v90(constB87, bitIndex1) | v100(constB88) | (~v90(constB88, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB87, bitIndex1) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex1)))),
% 73.04/45.91 inference(transitivity,[status(thm)],[13943, 13941])).
% 73.04/45.91 tff(13945,plain,
% 73.04/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB87, constB88)) | v90(constB87, bitIndex1) | v100(constB88) | (~v90(constB88, bitIndex1)))),
% 73.04/45.91 inference(quant_inst,[status(thm)],[])).
% 73.04/45.91 tff(13946,plain,
% 73.04/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB87, bitIndex1) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, bitIndex1))),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13945, 13944])).
% 73.04/45.91 tff(13947,plain,
% 73.04/45.91 (v90(constB87, bitIndex1) | v100(constB88) | (~v90(constB88, bitIndex1))),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13946, 109, 13875])).
% 73.04/45.91 tff(13948,plain,
% 73.04/45.91 (~v90(constB88, bitIndex1)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13947, 13881, 13940])).
% 73.04/45.91 tff(13949,assumption,(~v108(constB87)), introduced(assumption)).
% 73.04/45.91 tff(13950,plain,
% 73.04/45.91 (~v112(constB87)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13918, 210, 13949])).
% 73.04/45.91 tff(13951,plain,
% 73.04/45.91 (~v113(constB87)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13926, 13950])).
% 73.04/45.91 tff(13952,plain,
% 73.04/45.91 (~v114(constB87)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13930, 287, 13951])).
% 73.04/45.91 tff(13953,plain,
% 73.04/45.91 (~v115(constB87)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13934, 276, 13952])).
% 73.04/45.91 tff(13954,plain,
% 73.04/45.91 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB87) | (~v116(constB87)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB87) | (~v116(constB87)))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13955,plain,
% 73.04/45.91 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB87) | (~v116(constB87)))),
% 73.04/45.91 inference(quant_inst,[status(thm)],[])).
% 73.04/45.91 tff(13956,plain,
% 73.04/45.91 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB87) | (~v116(constB87))),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13955, 13954])).
% 73.04/45.91 tff(13957,plain,
% 73.04/45.91 (~v116(constB87)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13956, 265, 13953])).
% 73.04/45.91 tff(13958,plain,
% 73.04/45.91 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB87) | (~v117(constB87)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB87) | (~v117(constB87)))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13959,plain,
% 73.04/45.91 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB87) | (~v117(constB87)))),
% 73.04/45.91 inference(quant_inst,[status(thm)],[])).
% 73.04/45.91 tff(13960,plain,
% 73.04/45.91 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB87) | (~v117(constB87))),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13959, 13958])).
% 73.04/45.91 tff(13961,plain,
% 73.04/45.91 (~v117(constB87)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13960, 254, 13957])).
% 73.04/45.91 tff(13962,plain,
% 73.04/45.91 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB87) | (~v118(constB87)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB87) | (~v118(constB87)))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13963,plain,
% 73.04/45.91 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB87) | (~v118(constB87)))),
% 73.04/45.91 inference(quant_inst,[status(thm)],[])).
% 73.04/45.91 tff(13964,plain,
% 73.04/45.91 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB87) | (~v118(constB87))),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13963, 13962])).
% 73.04/45.91 tff(13965,plain,
% 73.04/45.91 (~v118(constB87)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13964, 243, 13961])).
% 73.04/45.91 tff(13966,plain,
% 73.04/45.91 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB87) | (~v120(constB87)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB87) | (~v120(constB87)))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13967,plain,
% 73.04/45.91 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB87) | (~v120(constB87)))),
% 73.04/45.91 inference(quant_inst,[status(thm)],[])).
% 73.04/45.91 tff(13968,plain,
% 73.04/45.91 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB87) | (~v120(constB87))),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13967, 13966])).
% 73.04/45.91 tff(13969,plain,
% 73.04/45.91 (~v120(constB87)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13968, 646, 13965])).
% 73.04/45.91 tff(13970,assumption,(~v90(constB87, bitIndex2)), introduced(assumption)).
% 73.04/45.91 tff(13971,assumption,(~v90(constB88, bitIndex1)), introduced(assumption)).
% 73.04/45.91 tff(13972,plain,
% 73.04/45.91 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB87) | (~v26(constB87)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB87) | (~v26(constB87)))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13973,plain,
% 73.04/45.91 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB87) | (~v26(constB87)))),
% 73.04/45.91 inference(quant_inst,[status(thm)],[])).
% 73.04/45.91 tff(13974,plain,
% 73.04/45.91 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB87) | (~v26(constB87))),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13973, 13972])).
% 73.04/45.91 tff(13975,plain,
% 73.04/45.91 (~v26(constB87)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13974, 221, 13949])).
% 73.04/45.91 tff(13976,plain,
% 73.04/45.91 (~v113(constB87)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13925, 301, 13975, 13950])).
% 73.04/45.91 tff(13977,plain,
% 73.04/45.91 (~v114(constB87)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13930, 287, 13976])).
% 73.04/45.91 tff(13978,plain,
% 73.04/45.91 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))))),
% 73.04/45.91 inference(bind,[status(th)],[])).
% 73.04/45.91 tff(13979,plain,
% 73.04/45.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 73.04/45.91 inference(quant_intro,[status(thm)],[13978])).
% 73.04/45.91 tff(13980,plain,
% 73.04/45.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13981,plain,
% 73.04/45.91 (^[VarNext: $i, VarCurr: $i] : rewrite(((v108(VarCurr) | (~v110(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))))),
% 73.04/45.91 inference(bind,[status(th)],[])).
% 73.04/45.91 tff(13982,plain,
% 73.04/45.91 (![VarNext: $i, VarCurr: $i] : ((v108(VarCurr) | (~v110(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 73.04/45.91 inference(quant_intro,[status(thm)],[13981])).
% 73.04/45.91 tff(13983,axiom,(![VarNext: $i, VarCurr: $i] : ((v108(VarCurr) | (~v110(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_6_1_2')).
% 73.04/45.91 tff(13984,plain,
% 73.04/45.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13983, 13982])).
% 73.04/45.91 tff(13985,plain,
% 73.04/45.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13984, 13980])).
% 73.04/45.91 tff(13986,plain,(
% 73.04/45.91 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 73.04/45.91 inference(skolemize,[status(sab)],[13985])).
% 73.04/45.91 tff(13987,plain,
% 73.04/45.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13986, 13979])).
% 73.04/45.91 tff(13988,plain,
% 73.04/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB87, constB88)) | (~v110(constB88)) | v108(constB87))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB87, constB88)) | (~v110(constB88)) | v108(constB87))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13989,plain,
% 73.04/45.91 (((~nextState(constB87, constB88)) | v108(constB87) | (~v110(constB88))) <=> ((~nextState(constB87, constB88)) | (~v110(constB88)) | v108(constB87))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13990,plain,
% 73.04/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB87, constB88)) | v108(constB87) | (~v110(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB87, constB88)) | (~v110(constB88)) | v108(constB87)))),
% 73.04/45.91 inference(monotonicity,[status(thm)],[13989])).
% 73.04/45.91 tff(13991,plain,
% 73.04/45.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB87, constB88)) | v108(constB87) | (~v110(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB87, constB88)) | (~v110(constB88)) | v108(constB87))),
% 73.04/45.91 inference(transitivity,[status(thm)],[13990, 13988])).
% 73.04/45.91 tff(13992,plain,
% 73.04/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB87, constB88)) | v108(constB87) | (~v110(constB88)))),
% 73.04/45.91 inference(quant_inst,[status(thm)],[])).
% 73.04/45.91 tff(13993,plain,
% 73.04/45.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB87, constB88)) | (~v110(constB88)) | v108(constB87)),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[13992, 13991])).
% 73.04/45.91 tff(13994,plain,
% 73.04/45.91 ((~v110(constB88)) | v108(constB87)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13993, 13987, 13875])).
% 73.04/45.91 tff(13995,plain,
% 73.04/45.91 (~v110(constB88)),
% 73.04/45.91 inference(unit_resolution,[status(thm)],[13994, 13949])).
% 73.04/45.91 tff(13996,plain,
% 73.04/45.91 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))))),
% 73.04/45.91 inference(bind,[status(th)],[])).
% 73.04/45.91 tff(13997,plain,
% 73.04/45.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 73.04/45.91 inference(quant_intro,[status(thm)],[13996])).
% 73.04/45.91 tff(13998,plain,
% 73.04/45.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 73.04/45.91 inference(rewrite,[status(thm)],[])).
% 73.04/45.91 tff(13999,plain,
% 73.04/45.91 (^[VarNext: $i, VarCurr: $i] : rewrite(((v110(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))))),
% 73.04/45.91 inference(bind,[status(th)],[])).
% 73.04/45.91 tff(14000,plain,
% 73.04/45.91 (![VarNext: $i, VarCurr: $i] : ((v110(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 73.04/45.91 inference(quant_intro,[status(thm)],[13999])).
% 73.04/45.91 tff(14001,axiom,(![VarNext: $i, VarCurr: $i] : ((v110(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_2')).
% 73.04/45.91 tff(14002,plain,
% 73.04/45.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[14001, 14000])).
% 73.04/45.91 tff(14003,plain,
% 73.04/45.91 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 73.04/45.91 inference(modus_ponens,[status(thm)],[14002, 13998])).
% 73.04/45.91 tff(14004,plain,(
% 73.04/45.92 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 73.04/45.92 inference(skolemize,[status(sab)],[14003])).
% 73.04/45.92 tff(14005,plain,
% 73.04/45.92 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 73.04/45.92 inference(modus_ponens,[status(thm)],[14004, 13997])).
% 73.04/45.92 tff(14006,plain,
% 73.04/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB87, constB88)) | v110(constB88) | (~v100(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v100(constB88)))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14007,plain,
% 73.04/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB87, constB88)) | v110(constB88) | (~v100(constB88)))),
% 73.04/45.92 inference(quant_inst,[status(thm)],[])).
% 73.04/45.92 tff(14008,plain,
% 73.04/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v100(constB88))),
% 73.04/45.92 inference(modus_ponens,[status(thm)],[14007, 14006])).
% 73.04/45.92 tff(14009,plain,
% 73.04/45.92 (v110(constB88) | (~v100(constB88))),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14008, 14005, 13875])).
% 73.04/45.92 tff(14010,plain,
% 73.04/45.92 (~v100(constB88)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14009, 13995])).
% 73.04/45.92 tff(14011,plain,
% 73.04/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB87, bitIndex1)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB87, bitIndex1)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex1))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14012,plain,
% 73.04/45.92 (((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex1)) | v100(constB88) | v90(constB88, bitIndex1)) <=> ((~v90(constB87, bitIndex1)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex1))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14013,plain,
% 73.04/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex1)) | v100(constB88) | v90(constB88, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB87, bitIndex1)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex1)))),
% 73.04/45.92 inference(monotonicity,[status(thm)],[14012])).
% 73.04/45.92 tff(14014,plain,
% 73.04/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex1)) | v100(constB88) | v90(constB88, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB87, bitIndex1)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex1))),
% 73.04/45.92 inference(transitivity,[status(thm)],[14013, 14011])).
% 73.04/45.92 tff(14015,plain,
% 73.04/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v90(constB87, bitIndex1)) | v100(constB88) | v90(constB88, bitIndex1))),
% 73.04/45.92 inference(quant_inst,[status(thm)],[])).
% 73.04/45.92 tff(14016,plain,
% 73.04/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB87, bitIndex1)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, bitIndex1)),
% 73.04/45.92 inference(modus_ponens,[status(thm)],[14015, 14014])).
% 73.04/45.92 tff(14017,plain,
% 73.04/45.92 ((~v90(constB87, bitIndex1)) | v100(constB88) | v90(constB88, bitIndex1)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14016, 872, 13875])).
% 73.04/45.92 tff(14018,plain,
% 73.04/45.92 (~v90(constB87, bitIndex1)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14017, 14010, 13971])).
% 73.04/45.92 tff(14019,assumption,(~v90(constB87, bitIndex0)), introduced(assumption)).
% 73.04/45.92 tff(14020,plain,
% 73.04/45.92 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB87) | v90(constB87, bitIndex0) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB87) | v90(constB87, bitIndex0) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14021,plain,
% 73.04/45.92 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB87) | v90(constB87, bitIndex0) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2))),
% 73.04/45.92 inference(quant_inst,[status(thm)],[])).
% 73.04/45.92 tff(14022,plain,
% 73.04/45.92 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB87) | v90(constB87, bitIndex0) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2)),
% 73.04/45.92 inference(modus_ponens,[status(thm)],[14021, 14020])).
% 73.04/45.92 tff(14023,plain,
% 73.04/45.92 (v119(constB87) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14022, 151, 14019])).
% 73.04/45.92 tff(14024,plain,
% 73.04/45.92 (v119(constB87)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14023, 14018, 13970])).
% 73.04/45.92 tff(14025,plain,
% 73.04/45.92 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB87) | (~v119(constB87)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB87) | (~v119(constB87)))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14026,plain,
% 73.04/45.92 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB87) | (~v119(constB87)))),
% 73.04/45.92 inference(quant_inst,[status(thm)],[])).
% 73.04/45.92 tff(14027,plain,
% 73.04/45.92 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB87) | (~v119(constB87))),
% 73.04/45.92 inference(modus_ponens,[status(thm)],[14026, 14025])).
% 73.04/45.92 tff(14028,plain,
% 73.04/45.92 (v118(constB87)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14027, 232, 14024])).
% 73.04/45.92 tff(14029,plain,
% 73.04/45.92 (v117(constB87)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[13964, 243, 14028])).
% 73.04/45.92 tff(14030,plain,
% 73.04/45.92 (v116(constB87)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[13960, 254, 14029])).
% 73.04/45.92 tff(14031,plain,
% 73.04/45.92 (v115(constB87)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[13956, 265, 14030])).
% 73.04/45.92 tff(14032,plain,
% 73.04/45.92 ($false),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[13934, 276, 14031, 13977])).
% 73.04/45.92 tff(14033,plain,(v108(constB87) | v90(constB87, bitIndex2) | v90(constB87, bitIndex0) | v90(constB88, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 73.04/45.92 tff(14034,plain,
% 73.04/45.92 (v90(constB87, bitIndex0)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14033, 13970, 13949, 13971])).
% 73.04/45.92 tff(14035,plain,
% 73.04/45.92 ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex2) | v120(constB87)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[13855, 631, 13940])).
% 73.04/45.92 tff(14036,plain,
% 73.04/45.92 ($false),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14035, 14034, 13970, 13969])).
% 73.04/45.92 tff(14037,plain,(v90(constB87, bitIndex2) | v90(constB87, bitIndex1) | v108(constB87) | v90(constB88, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 73.04/45.92 tff(14038,plain,
% 73.04/45.92 (v90(constB87, bitIndex2)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14037, 13915, 13940, 13948])).
% 73.04/45.92 tff(14039,plain,
% 73.04/45.92 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB87) | (~v124(constB87)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB87) | (~v124(constB87)))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14040,plain,
% 73.04/45.92 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB87) | (~v124(constB87)))),
% 73.04/45.92 inference(quant_inst,[status(thm)],[])).
% 73.04/45.92 tff(14041,plain,
% 73.04/45.92 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB87) | (~v124(constB87))),
% 73.04/45.92 inference(modus_ponens,[status(thm)],[14040, 14039])).
% 73.04/45.92 tff(14042,plain,
% 73.04/45.92 (~v124(constB87)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14041, 1718, 13931])).
% 73.04/45.92 tff(14043,plain,
% 73.04/45.92 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex2)) | v124(constB87))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex2)) | v124(constB87))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14044,plain,
% 73.04/45.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex2)) | v124(constB87))),
% 73.04/45.92 inference(quant_inst,[status(thm)],[])).
% 73.04/45.92 tff(14045,plain,
% 73.04/45.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex2)) | v124(constB87)),
% 73.04/45.92 inference(modus_ponens,[status(thm)],[14044, 14043])).
% 73.04/45.92 tff(14046,plain,
% 73.04/45.92 ((~v90(constB87, bitIndex0)) | (~v90(constB87, bitIndex2)) | v124(constB87)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14045, 1707, 13940])).
% 73.04/45.92 tff(14047,plain,
% 73.04/45.92 (~v90(constB87, bitIndex0)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14046, 14038, 14042])).
% 73.04/45.92 tff(14048,plain,
% 73.04/45.92 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB87, bitIndex0) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex2)) | v123(constB87))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB87, bitIndex0) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex2)) | v123(constB87))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14049,plain,
% 73.04/45.92 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB87, bitIndex0) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex2)) | v123(constB87))),
% 73.04/45.92 inference(quant_inst,[status(thm)],[])).
% 73.04/45.92 tff(14050,plain,
% 73.04/45.92 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB87, bitIndex0) | v90(constB87, bitIndex1) | (~v90(constB87, bitIndex2)) | v123(constB87)),
% 73.04/45.92 inference(modus_ponens,[status(thm)],[14049, 14048])).
% 73.04/45.92 tff(14051,plain,
% 73.04/45.92 (v90(constB87, bitIndex0) | (~v90(constB87, bitIndex2)) | v123(constB87)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14050, 1477, 13940])).
% 73.04/45.92 tff(14052,plain,
% 73.04/45.92 ($false),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14051, 14047, 14038, 13939])).
% 73.04/45.92 tff(14053,plain,(v100(constB88) | v90(constB87, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 73.04/45.92 tff(14054,plain,
% 73.04/45.92 (v100(constB88)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14053, 13815])).
% 73.04/45.92 tff(14055,plain,
% 73.04/45.92 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14056,plain,
% 73.04/45.92 (((~v90(constB88, bitIndex2)) | (~v100(constB88)) | v129(constB88, bitIndex2)) <=> ((~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14057,plain,
% 73.04/45.92 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB88, bitIndex2)) | (~v100(constB88)) | v129(constB88, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88))))),
% 73.04/45.92 inference(monotonicity,[status(thm)],[14056])).
% 73.04/45.92 tff(14058,plain,
% 73.04/45.92 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB88, bitIndex2)) | (~v100(constB88)) | v129(constB88, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))),
% 73.04/45.92 inference(transitivity,[status(thm)],[14057, 14055])).
% 73.04/45.92 tff(14059,plain,
% 73.04/45.92 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB88, bitIndex2)) | (~v100(constB88)) | v129(constB88, bitIndex2))),
% 73.04/45.92 inference(quant_inst,[status(thm)],[])).
% 73.04/45.92 tff(14060,plain,
% 73.04/45.92 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88))),
% 73.04/45.92 inference(modus_ponens,[status(thm)],[14059, 14058])).
% 73.04/45.92 tff(14061,plain,
% 73.04/45.92 ((~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14060, 503, 14054])).
% 73.04/45.92 tff(14062,plain,
% 73.04/45.92 (~v90(constB88, bitIndex2)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14061, 13880])).
% 73.04/45.92 tff(14063,plain,
% 73.04/45.92 ((~v1(constB89)) <=> (~v1(constB89))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14064,axiom,(~v1(constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_89_1_1')).
% 73.04/45.92 tff(14065,plain,
% 73.04/45.92 (~v1(constB89)),
% 73.04/45.92 inference(modus_ponens,[status(thm)],[14064, 14063])).
% 73.04/45.92 tff(14066,plain,
% 73.04/45.92 (nextState(constB88, constB89) <=> nextState(constB88, constB89)),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14067,axiom,(nextState(constB88, constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_88_1')).
% 73.04/45.92 tff(14068,plain,
% 73.04/45.92 (nextState(constB88, constB89)),
% 73.04/45.92 inference(modus_ponens,[status(thm)],[14067, 14066])).
% 73.04/45.92 tff(14069,plain,
% 73.04/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14070,plain,
% 73.04/45.92 (((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89)) <=> (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14071,plain,
% 73.04/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89))))),
% 73.04/45.92 inference(monotonicity,[status(thm)],[14070])).
% 73.04/45.92 tff(14072,plain,
% 73.04/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 73.04/45.92 inference(transitivity,[status(thm)],[14071, 14069])).
% 73.04/45.92 tff(14073,plain,
% 73.04/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))),
% 73.04/45.92 inference(quant_inst,[status(thm)],[])).
% 73.04/45.92 tff(14074,plain,
% 73.04/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89))),
% 73.04/45.92 inference(modus_ponens,[status(thm)],[14073, 14072])).
% 73.04/45.92 tff(14075,plain,
% 73.04/45.92 (~v101(constB89)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14074, 56, 14068, 14065])).
% 73.04/45.92 tff(14076,plain,
% 73.04/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14077,plain,
% 73.04/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))),
% 73.04/45.92 inference(quant_inst,[status(thm)],[])).
% 73.04/45.92 tff(14078,plain,
% 73.04/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89))),
% 73.04/45.92 inference(modus_ponens,[status(thm)],[14077, 14076])).
% 73.04/45.92 tff(14079,plain,
% 73.04/45.92 (v101(constB89) | (~v100(constB89))),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14078, 73, 14068])).
% 73.04/45.92 tff(14080,plain,
% 73.04/45.92 (~v100(constB89)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14079, 14075])).
% 73.04/45.92 tff(14081,plain,
% 73.04/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14082,plain,
% 73.04/45.92 (((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2))) <=> (v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14083,plain,
% 73.04/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2))))),
% 73.04/45.92 inference(monotonicity,[status(thm)],[14082])).
% 73.04/45.92 tff(14084,plain,
% 73.04/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 73.04/45.92 inference(transitivity,[status(thm)],[14083, 14081])).
% 73.04/45.92 tff(14085,plain,
% 73.04/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 73.04/45.92 inference(quant_inst,[status(thm)],[])).
% 73.04/45.92 tff(14086,plain,
% 73.04/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2))),
% 73.04/45.92 inference(modus_ponens,[status(thm)],[14085, 14084])).
% 73.04/45.92 tff(14087,plain,
% 73.04/45.92 (v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2))),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14086, 88, 14068])).
% 73.04/45.92 tff(14088,plain,
% 73.04/45.92 (v90(constB88, bitIndex2) | (~v90(constB89, bitIndex2))),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14087, 14080])).
% 73.04/45.92 tff(14089,plain,
% 73.04/45.92 (~v90(constB89, bitIndex2)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14088, 14062])).
% 73.04/45.92 tff(14090,plain,
% 73.04/45.92 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB87)) | v130(constB87, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB87)) | v130(constB87, bitIndex1))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14091,plain,
% 73.04/45.92 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB87)) | v130(constB87, bitIndex1))),
% 73.04/45.92 inference(quant_inst,[status(thm)],[])).
% 73.04/45.92 tff(14092,plain,
% 73.04/45.92 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB87)) | v130(constB87, bitIndex1)),
% 73.04/45.92 inference(modus_ponens,[status(thm)],[14091, 14090])).
% 73.04/45.92 tff(14093,plain,
% 73.04/45.92 (v130(constB87, bitIndex1)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14092, 810, 13856])).
% 73.04/45.92 tff(14094,plain,
% 73.04/45.92 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14095,plain,
% 73.04/45.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1))),
% 73.04/45.92 inference(quant_inst,[status(thm)],[])).
% 73.04/45.92 tff(14096,plain,
% 73.04/45.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1)),
% 73.04/45.92 inference(modus_ponens,[status(thm)],[14095, 14094])).
% 73.04/45.92 tff(14097,plain,
% 73.04/45.92 ((~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14096, 824, 13864])).
% 73.04/45.92 tff(14098,plain,
% 73.04/45.92 (v127(constB87, bitIndex1)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14097, 14093])).
% 73.04/45.92 tff(14099,plain,
% 73.04/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14100,plain,
% 73.04/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1))),
% 73.04/45.92 inference(quant_inst,[status(thm)],[])).
% 73.04/45.92 tff(14101,plain,
% 73.04/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1)),
% 73.04/45.92 inference(modus_ponens,[status(thm)],[14100, 14099])).
% 73.04/45.92 tff(14102,plain,
% 73.04/45.92 ((~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14101, 839, 13875])).
% 73.04/45.92 tff(14103,plain,
% 73.04/45.92 (v129(constB88, bitIndex1)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14102, 14098])).
% 73.04/45.92 tff(14104,plain,
% 73.04/45.92 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14105,plain,
% 73.04/45.92 ((v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1))) <=> (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14106,plain,
% 73.04/45.92 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88))))),
% 73.04/45.92 inference(monotonicity,[status(thm)],[14105])).
% 73.04/45.92 tff(14107,plain,
% 73.04/45.92 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))),
% 73.04/45.92 inference(transitivity,[status(thm)],[14106, 14104])).
% 73.04/45.92 tff(14108,plain,
% 73.04/45.92 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1)))),
% 73.04/45.92 inference(quant_inst,[status(thm)],[])).
% 73.04/45.92 tff(14109,plain,
% 73.04/45.92 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88))),
% 73.04/45.92 inference(modus_ponens,[status(thm)],[14108, 14107])).
% 73.04/45.92 tff(14110,plain,
% 73.04/45.92 (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1))),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14109, 854, 14054])).
% 73.04/45.92 tff(14111,plain,
% 73.04/45.92 (v90(constB88, bitIndex1)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14110, 14103])).
% 73.04/45.92 tff(14112,plain,
% 73.04/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14113,plain,
% 73.04/45.92 (((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1)) <=> ((~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14114,plain,
% 73.04/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1)))),
% 73.04/45.92 inference(monotonicity,[status(thm)],[14113])).
% 73.04/45.92 tff(14115,plain,
% 73.04/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))),
% 73.04/45.92 inference(transitivity,[status(thm)],[14114, 14112])).
% 73.04/45.92 tff(14116,plain,
% 73.04/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1))),
% 73.04/45.92 inference(quant_inst,[status(thm)],[])).
% 73.04/45.92 tff(14117,plain,
% 73.04/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1)),
% 73.04/45.92 inference(modus_ponens,[status(thm)],[14116, 14115])).
% 73.04/45.92 tff(14118,plain,
% 73.04/45.92 ((~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14117, 872, 14068])).
% 73.04/45.92 tff(14119,plain,
% 73.04/45.92 ((~v90(constB88, bitIndex1)) | v90(constB89, bitIndex1)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14118, 14080])).
% 73.04/45.92 tff(14120,plain,
% 73.04/45.92 (v90(constB89, bitIndex1)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14119, 14111])).
% 73.04/45.92 tff(14121,plain,
% 73.04/45.92 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB87)) | (~v130(constB87, bitIndex0)))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14122,plain,
% 73.04/45.92 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex0)))),
% 73.04/45.92 inference(quant_inst,[status(thm)],[])).
% 73.04/45.92 tff(14123,plain,
% 73.04/45.92 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB87)) | (~v130(constB87, bitIndex0))),
% 73.04/45.92 inference(modus_ponens,[status(thm)],[14122, 14121])).
% 73.04/45.92 tff(14124,plain,
% 73.04/45.92 (~v130(constB87, bitIndex0)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14123, 891, 13856])).
% 73.04/45.92 tff(14125,plain,
% 73.04/45.92 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14126,plain,
% 73.04/45.92 ((v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0))) <=> ((~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14127,plain,
% 73.04/45.92 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0)))),
% 73.04/45.92 inference(monotonicity,[status(thm)],[14126])).
% 73.04/45.92 tff(14128,plain,
% 73.04/45.92 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))),
% 73.04/45.92 inference(transitivity,[status(thm)],[14127, 14125])).
% 73.04/45.92 tff(14129,plain,
% 73.04/45.92 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0)))),
% 73.04/45.92 inference(quant_inst,[status(thm)],[])).
% 73.04/45.92 tff(14130,plain,
% 73.04/45.92 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0)),
% 73.04/45.92 inference(modus_ponens,[status(thm)],[14129, 14128])).
% 73.04/45.92 tff(14131,plain,
% 73.04/45.92 ((~v127(constB87, bitIndex0)) | v130(constB87, bitIndex0)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14130, 905, 13864])).
% 73.04/45.92 tff(14132,plain,
% 73.04/45.92 (~v127(constB87, bitIndex0)),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14131, 14124])).
% 73.04/45.92 tff(14133,plain,
% 73.04/45.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0)))),
% 73.04/45.92 inference(rewrite,[status(thm)],[])).
% 73.04/45.92 tff(14134,plain,
% 73.04/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0)))),
% 73.04/45.92 inference(quant_inst,[status(thm)],[])).
% 73.04/45.92 tff(14135,plain,
% 73.04/45.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0))),
% 73.04/45.92 inference(modus_ponens,[status(thm)],[14134, 14133])).
% 73.04/45.92 tff(14136,plain,
% 73.04/45.92 (v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0))),
% 73.04/45.92 inference(unit_resolution,[status(thm)],[14135, 923, 13875])).
% 73.04/45.92 tff(14137,plain,
% 73.04/45.93 (~v129(constB88, bitIndex0)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14136, 14132])).
% 73.04/45.93 tff(14138,plain,
% 73.04/45.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14139,plain,
% 73.04/45.93 (((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0)) <=> ((~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14140,plain,
% 73.04/45.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88))))),
% 73.04/45.93 inference(monotonicity,[status(thm)],[14139])).
% 73.04/45.93 tff(14141,plain,
% 73.04/45.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))),
% 73.04/45.93 inference(transitivity,[status(thm)],[14140, 14138])).
% 73.04/45.93 tff(14142,plain,
% 73.04/45.93 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0))),
% 73.04/45.93 inference(quant_inst,[status(thm)],[])).
% 73.04/45.93 tff(14143,plain,
% 73.04/45.93 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88))),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14142, 14141])).
% 73.04/45.93 tff(14144,plain,
% 73.04/45.93 ((~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14143, 938, 14054])).
% 73.04/45.93 tff(14145,plain,
% 73.04/45.93 (~v90(constB88, bitIndex0)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14144, 14137])).
% 73.04/45.93 tff(14146,plain,
% 73.04/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14147,plain,
% 73.04/45.93 (((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0))) <=> (v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14148,plain,
% 73.04/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0))))),
% 73.04/45.93 inference(monotonicity,[status(thm)],[14147])).
% 73.04/45.93 tff(14149,plain,
% 73.04/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 73.04/45.93 inference(transitivity,[status(thm)],[14148, 14146])).
% 73.04/45.93 tff(14150,plain,
% 73.04/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 73.04/45.93 inference(quant_inst,[status(thm)],[])).
% 73.04/45.93 tff(14151,plain,
% 73.04/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0))),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14150, 14149])).
% 73.04/45.93 tff(14152,plain,
% 73.04/45.93 (v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0))),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14151, 130, 14068])).
% 73.04/45.93 tff(14153,plain,
% 73.04/45.93 (v90(constB88, bitIndex0) | (~v90(constB89, bitIndex0))),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14152, 14080])).
% 73.04/45.93 tff(14154,plain,
% 73.04/45.93 (~v90(constB89, bitIndex0)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14153, 14145])).
% 73.04/45.93 tff(14155,plain,
% 73.04/45.93 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14156,plain,
% 73.04/45.93 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89))),
% 73.04/45.93 inference(quant_inst,[status(thm)],[])).
% 73.04/45.93 tff(14157,plain,
% 73.04/45.93 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89)),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14156, 14155])).
% 73.04/45.93 tff(14158,plain,
% 73.04/45.93 (v121(constB89)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14157, 965, 14154, 14120, 14089])).
% 73.04/45.93 tff(14159,plain,
% 73.04/45.93 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB89)) | (~v130(constB89, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB89)) | (~v130(constB89, bitIndex2)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14160,plain,
% 73.04/45.93 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB89)) | (~v130(constB89, bitIndex2)))),
% 73.04/45.93 inference(quant_inst,[status(thm)],[])).
% 73.04/45.93 tff(14161,plain,
% 73.04/45.93 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB89)) | (~v130(constB89, bitIndex2))),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14160, 14159])).
% 73.04/45.93 tff(14162,plain,
% 73.04/45.93 (~v130(constB89, bitIndex2)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14161, 1059, 14158])).
% 73.04/45.93 tff(14163,plain,
% 73.04/45.93 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14164,plain,
% 73.04/45.93 ((v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2))) <=> ((~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14165,plain,
% 73.04/45.93 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2)))),
% 73.04/45.93 inference(monotonicity,[status(thm)],[14164])).
% 73.04/45.93 tff(14166,plain,
% 73.04/45.93 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))),
% 73.04/45.93 inference(transitivity,[status(thm)],[14165, 14163])).
% 73.04/45.93 tff(14167,plain,
% 73.04/45.93 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2)))),
% 73.04/45.93 inference(quant_inst,[status(thm)],[])).
% 73.04/45.93 tff(14168,plain,
% 73.04/45.93 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2)),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14167, 14166])).
% 73.04/45.93 tff(14169,plain,
% 73.04/45.93 ((~v127(constB89, bitIndex2)) | v26(constB89)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14168, 470, 14162])).
% 73.04/45.93 tff(14170,plain,
% 73.04/45.93 (~v127(constB89, bitIndex2)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14169, 7968])).
% 73.04/45.93 tff(14171,plain,
% 73.04/45.93 (nextState(constB89, constB90) <=> nextState(constB89, constB90)),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14172,axiom,(nextState(constB89, constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_89_1')).
% 73.04/45.93 tff(14173,plain,
% 73.04/45.93 (nextState(constB89, constB90)),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14172, 14171])).
% 73.04/45.93 tff(14174,plain,
% 73.04/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14175,plain,
% 73.04/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2)))),
% 73.04/45.93 inference(quant_inst,[status(thm)],[])).
% 73.04/45.93 tff(14176,plain,
% 73.04/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2))),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14175, 14174])).
% 73.04/45.93 tff(14177,plain,
% 73.04/45.93 (v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2))),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14176, 488, 14173])).
% 73.04/45.93 tff(14178,plain,
% 73.04/45.93 (~v129(constB90, bitIndex2)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14177, 14170])).
% 73.04/45.93 tff(14179,plain,
% 73.04/45.93 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB89) | (~v121(constB89)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB89) | (~v121(constB89)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14180,plain,
% 73.04/45.93 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB89) | (~v121(constB89)))),
% 73.04/45.93 inference(quant_inst,[status(thm)],[])).
% 73.04/45.93 tff(14181,plain,
% 73.04/45.93 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB89) | (~v121(constB89))),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14180, 14179])).
% 73.04/45.93 tff(14182,plain,
% 73.04/45.93 (v117(constB89)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14181, 976, 14158])).
% 73.04/45.93 tff(14183,plain,
% 73.04/45.93 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB89) | (~v117(constB89)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB89) | (~v117(constB89)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14184,plain,
% 73.04/45.93 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB89) | (~v117(constB89)))),
% 73.04/45.93 inference(quant_inst,[status(thm)],[])).
% 73.04/45.93 tff(14185,plain,
% 73.04/45.93 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB89) | (~v117(constB89))),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14184, 14183])).
% 73.04/45.93 tff(14186,plain,
% 73.04/45.93 (v116(constB89)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14185, 254, 14182])).
% 73.04/45.93 tff(14187,plain,
% 73.04/45.93 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB89) | (~v116(constB89)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB89) | (~v116(constB89)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14188,plain,
% 73.04/45.93 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB89) | (~v116(constB89)))),
% 73.04/45.93 inference(quant_inst,[status(thm)],[])).
% 73.04/45.93 tff(14189,plain,
% 73.04/45.93 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB89) | (~v116(constB89))),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14188, 14187])).
% 73.04/45.93 tff(14190,plain,
% 73.04/45.93 (v115(constB89)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14189, 265, 14186])).
% 73.04/45.93 tff(14191,plain,
% 73.04/45.93 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB89) | (~v115(constB89)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB89) | (~v115(constB89)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14192,plain,
% 73.04/45.93 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB89) | (~v115(constB89)))),
% 73.04/45.93 inference(quant_inst,[status(thm)],[])).
% 73.04/45.93 tff(14193,plain,
% 73.04/45.93 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB89) | (~v115(constB89))),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14192, 14191])).
% 73.04/45.93 tff(14194,plain,
% 73.04/45.93 (v114(constB89)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14193, 276, 14190])).
% 73.04/45.93 tff(14195,plain,
% 73.04/45.93 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB89) | (~v114(constB89)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB89) | (~v114(constB89)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14196,plain,
% 73.04/45.93 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB89) | (~v114(constB89)))),
% 73.04/45.93 inference(quant_inst,[status(thm)],[])).
% 73.04/45.93 tff(14197,plain,
% 73.04/45.93 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB89) | (~v114(constB89))),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14196, 14195])).
% 73.04/45.93 tff(14198,plain,
% 73.04/45.93 (v113(constB89)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14197, 287, 14194])).
% 73.04/45.93 tff(14199,assumption,(~v108(constB89)), introduced(assumption)).
% 73.04/45.93 tff(14200,plain,
% 73.04/45.93 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB89) | (~v112(constB89)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB89) | (~v112(constB89)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14201,plain,
% 73.04/45.93 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB89) | (~v112(constB89)))),
% 73.04/45.93 inference(quant_inst,[status(thm)],[])).
% 73.04/45.93 tff(14202,plain,
% 73.04/45.93 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB89) | (~v112(constB89))),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14201, 14200])).
% 73.04/45.93 tff(14203,plain,
% 73.04/45.93 (~v112(constB89)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14202, 210, 14199])).
% 73.04/45.93 tff(14204,plain,
% 73.04/45.93 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB89) | (~v26(constB89)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB89) | (~v26(constB89)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14205,plain,
% 73.04/45.93 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB89) | (~v26(constB89)))),
% 73.04/45.93 inference(quant_inst,[status(thm)],[])).
% 73.04/45.93 tff(14206,plain,
% 73.04/45.93 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB89) | (~v26(constB89))),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14205, 14204])).
% 73.04/45.93 tff(14207,plain,
% 73.04/45.93 (~v26(constB89)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14206, 221, 14199])).
% 73.04/45.93 tff(14208,assumption,(v113(constB89)), introduced(assumption)).
% 73.04/45.93 tff(14209,plain,
% 73.04/45.93 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | v112(constB89) | (~v113(constB89)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14210,plain,
% 73.04/45.93 ((v26(constB89) | (~v113(constB89)) | v112(constB89)) <=> (v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14211,plain,
% 73.04/45.93 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | v112(constB89) | (~v113(constB89))))),
% 73.04/45.93 inference(monotonicity,[status(thm)],[14210])).
% 73.04/45.93 tff(14212,plain,
% 73.04/45.93 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 73.04/45.93 inference(transitivity,[status(thm)],[14211, 14209])).
% 73.04/45.93 tff(14213,plain,
% 73.04/45.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))),
% 73.04/45.93 inference(quant_inst,[status(thm)],[])).
% 73.04/45.93 tff(14214,plain,
% 73.04/45.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89))),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14213, 14212])).
% 73.04/45.93 tff(14215,plain,
% 73.04/45.93 (v26(constB89) | v112(constB89)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14214, 301, 14208])).
% 73.04/45.93 tff(14216,plain,
% 73.04/45.93 ($false),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14215, 14207, 14203])).
% 73.04/45.93 tff(14217,plain,(v108(constB89) | (~v113(constB89))), inference(lemma,lemma(discharge,[]))).
% 73.04/45.93 tff(14218,plain,
% 73.04/45.93 (v108(constB89)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14217, 14198])).
% 73.04/45.93 tff(14219,plain,
% 73.04/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14220,plain,
% 73.04/45.93 (((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90)) <=> ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14221,plain,
% 73.04/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89))))),
% 73.04/45.93 inference(monotonicity,[status(thm)],[14220])).
% 73.04/45.93 tff(14222,plain,
% 73.04/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 73.04/45.93 inference(transitivity,[status(thm)],[14221, 14219])).
% 73.04/45.93 tff(14223,plain,
% 73.04/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))),
% 73.04/45.93 inference(quant_inst,[status(thm)],[])).
% 73.04/45.93 tff(14224,plain,
% 73.04/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89))),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14223, 14222])).
% 73.04/45.93 tff(14225,plain,
% 73.04/45.93 (v110(constB90) | (~v108(constB89))),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14224, 317, 14173])).
% 73.04/45.93 tff(14226,plain,
% 73.04/45.93 (v110(constB90)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14225, 14218])).
% 73.04/45.93 tff(14227,plain,
% 73.04/45.93 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14228,plain,
% 73.04/45.93 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))),
% 73.04/45.93 inference(quant_inst,[status(thm)],[])).
% 73.04/45.93 tff(14229,plain,
% 73.04/45.93 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90))),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14228, 14227])).
% 73.04/45.93 tff(14230,plain,
% 73.04/45.93 (~v104(constB90)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14229, 335, 14173, 14065])).
% 73.04/45.93 tff(14231,plain,
% 73.04/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14232,plain,
% 73.04/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))),
% 73.04/45.93 inference(quant_inst,[status(thm)],[])).
% 73.04/45.93 tff(14233,plain,
% 73.04/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v102(constB90) | v104(constB90)),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14232, 14231])).
% 73.04/45.93 tff(14234,plain,
% 73.04/45.93 (v102(constB90) | v104(constB90)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14233, 349, 14173])).
% 73.04/45.93 tff(14235,plain,
% 73.04/45.93 (v102(constB90)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14234, 14230])).
% 73.04/45.93 tff(14236,plain,
% 73.04/45.93 (v1(constB90) <=> v1(constB90)),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14237,axiom,(v1(constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_90_1')).
% 73.04/45.93 tff(14238,plain,
% 73.04/45.93 (v1(constB90)),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14237, 14236])).
% 73.04/45.93 tff(14239,plain,
% 73.04/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14240,plain,
% 73.04/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))),
% 73.04/45.93 inference(quant_inst,[status(thm)],[])).
% 73.04/45.93 tff(14241,plain,
% 73.04/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90))),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14240, 14239])).
% 73.04/45.93 tff(14242,plain,
% 73.04/45.93 (v101(constB90) | (~v102(constB90))),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14241, 367, 14173, 14238])).
% 73.04/45.93 tff(14243,plain,
% 73.04/45.93 (v101(constB90)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14242, 14235])).
% 73.04/45.93 tff(14244,plain,
% 73.04/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14245,plain,
% 73.04/45.93 (((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90)) <=> ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14246,plain,
% 73.04/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90))))),
% 73.04/45.93 inference(monotonicity,[status(thm)],[14245])).
% 73.04/45.93 tff(14247,plain,
% 73.04/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 73.04/45.93 inference(transitivity,[status(thm)],[14246, 14244])).
% 73.04/45.93 tff(14248,plain,
% 73.04/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))),
% 73.04/45.93 inference(quant_inst,[status(thm)],[])).
% 73.04/45.93 tff(14249,plain,
% 73.04/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90))),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14248, 14247])).
% 73.04/45.93 tff(14250,plain,
% 73.04/45.93 (v100(constB90) | (~v101(constB90)) | (~v110(constB90))),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14249, 382, 14173])).
% 73.04/45.93 tff(14251,plain,
% 73.04/45.93 (v100(constB90) | (~v110(constB90))),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14250, 14243])).
% 73.04/45.93 tff(14252,plain,
% 73.04/45.93 (v100(constB90)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14251, 14226])).
% 73.04/45.93 tff(14253,plain,
% 73.04/45.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14254,plain,
% 73.04/45.93 (((~v90(constB90, bitIndex2)) | (~v100(constB90)) | v129(constB90, bitIndex2)) <=> ((~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14255,plain,
% 73.04/45.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB90, bitIndex2)) | (~v100(constB90)) | v129(constB90, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90))))),
% 73.04/45.93 inference(monotonicity,[status(thm)],[14254])).
% 73.04/45.93 tff(14256,plain,
% 73.04/45.93 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB90, bitIndex2)) | (~v100(constB90)) | v129(constB90, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))),
% 73.04/45.93 inference(transitivity,[status(thm)],[14255, 14253])).
% 73.04/45.93 tff(14257,plain,
% 73.04/45.93 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB90, bitIndex2)) | (~v100(constB90)) | v129(constB90, bitIndex2))),
% 73.04/45.93 inference(quant_inst,[status(thm)],[])).
% 73.04/45.93 tff(14258,plain,
% 73.04/45.93 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90))),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14257, 14256])).
% 73.04/45.93 tff(14259,plain,
% 73.04/45.93 ((~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14258, 503, 14252])).
% 73.04/45.93 tff(14260,plain,
% 73.04/45.93 (~v90(constB90, bitIndex2)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14259, 14178])).
% 73.04/45.93 tff(14261,plain,
% 73.04/45.93 ((~v1(constB91)) <=> (~v1(constB91))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14262,axiom,(~v1(constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_91_1_1')).
% 73.04/45.93 tff(14263,plain,
% 73.04/45.93 (~v1(constB91)),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14262, 14261])).
% 73.04/45.93 tff(14264,plain,
% 73.04/45.93 (nextState(constB90, constB91) <=> nextState(constB90, constB91)),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14265,axiom,(nextState(constB90, constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_90_1')).
% 73.04/45.93 tff(14266,plain,
% 73.04/45.93 (nextState(constB90, constB91)),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14265, 14264])).
% 73.04/45.93 tff(14267,plain,
% 73.04/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14268,plain,
% 73.04/45.93 (((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91)) <=> (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14269,plain,
% 73.04/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91))))),
% 73.04/45.93 inference(monotonicity,[status(thm)],[14268])).
% 73.04/45.93 tff(14270,plain,
% 73.04/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 73.04/45.93 inference(transitivity,[status(thm)],[14269, 14267])).
% 73.04/45.93 tff(14271,plain,
% 73.04/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))),
% 73.04/45.93 inference(quant_inst,[status(thm)],[])).
% 73.04/45.93 tff(14272,plain,
% 73.04/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91))),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14271, 14270])).
% 73.04/45.93 tff(14273,plain,
% 73.04/45.93 (~v101(constB91)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14272, 56, 14266, 14263])).
% 73.04/45.93 tff(14274,plain,
% 73.04/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14275,plain,
% 73.04/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))),
% 73.04/45.93 inference(quant_inst,[status(thm)],[])).
% 73.04/45.93 tff(14276,plain,
% 73.04/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91))),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14275, 14274])).
% 73.04/45.93 tff(14277,plain,
% 73.04/45.93 (v101(constB91) | (~v100(constB91))),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14276, 73, 14266])).
% 73.04/45.93 tff(14278,plain,
% 73.04/45.93 (~v100(constB91)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14277, 14273])).
% 73.04/45.93 tff(14279,plain,
% 73.04/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14280,plain,
% 73.04/45.93 (((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2))) <=> (v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14281,plain,
% 73.04/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2))))),
% 73.04/45.93 inference(monotonicity,[status(thm)],[14280])).
% 73.04/45.93 tff(14282,plain,
% 73.04/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 73.04/45.93 inference(transitivity,[status(thm)],[14281, 14279])).
% 73.04/45.93 tff(14283,plain,
% 73.04/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 73.04/45.93 inference(quant_inst,[status(thm)],[])).
% 73.04/45.93 tff(14284,plain,
% 73.04/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2))),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14283, 14282])).
% 73.04/45.93 tff(14285,plain,
% 73.04/45.93 (v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2))),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14284, 88, 14266])).
% 73.04/45.93 tff(14286,plain,
% 73.04/45.93 (v90(constB90, bitIndex2) | (~v90(constB91, bitIndex2))),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14285, 14278])).
% 73.04/45.93 tff(14287,plain,
% 73.04/45.93 (~v90(constB91, bitIndex2)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14286, 14260])).
% 73.04/45.93 tff(14288,plain,
% 73.04/45.93 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB89)) | v130(constB89, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB89)) | v130(constB89, bitIndex1))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14289,plain,
% 73.04/45.93 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB89)) | v130(constB89, bitIndex1))),
% 73.04/45.93 inference(quant_inst,[status(thm)],[])).
% 73.04/45.93 tff(14290,plain,
% 73.04/45.93 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB89)) | v130(constB89, bitIndex1)),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14289, 14288])).
% 73.04/45.93 tff(14291,plain,
% 73.04/45.93 (v130(constB89, bitIndex1)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14290, 1121, 14158])).
% 73.04/45.93 tff(14292,plain,
% 73.04/45.93 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14293,plain,
% 73.04/45.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1))),
% 73.04/45.93 inference(quant_inst,[status(thm)],[])).
% 73.04/45.93 tff(14294,plain,
% 73.04/45.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1)),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14293, 14292])).
% 73.04/45.93 tff(14295,plain,
% 73.04/45.93 (v26(constB89) | v127(constB89, bitIndex1)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14294, 824, 14291])).
% 73.04/45.93 tff(14296,plain,
% 73.04/45.93 (v127(constB89, bitIndex1)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14295, 7968])).
% 73.04/45.93 tff(14297,plain,
% 73.04/45.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1))),
% 73.04/45.93 inference(rewrite,[status(thm)],[])).
% 73.04/45.93 tff(14298,plain,
% 73.04/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1))),
% 73.04/45.93 inference(quant_inst,[status(thm)],[])).
% 73.04/45.93 tff(14299,plain,
% 73.04/45.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1)),
% 73.04/45.93 inference(modus_ponens,[status(thm)],[14298, 14297])).
% 73.04/45.93 tff(14300,plain,
% 73.04/45.93 ((~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14299, 839, 14173])).
% 73.04/45.93 tff(14301,plain,
% 73.04/45.93 (v129(constB90, bitIndex1)),
% 73.04/45.93 inference(unit_resolution,[status(thm)],[14300, 14296])).
% 73.04/45.93 tff(14302,plain,
% 73.04/45.93 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14303,plain,
% 73.04/45.94 ((v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1))) <=> (v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14304,plain,
% 73.04/45.94 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90))))),
% 73.04/45.94 inference(monotonicity,[status(thm)],[14303])).
% 73.04/45.94 tff(14305,plain,
% 73.04/45.94 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))),
% 73.04/45.94 inference(transitivity,[status(thm)],[14304, 14302])).
% 73.04/45.94 tff(14306,plain,
% 73.04/45.94 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1)))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14307,plain,
% 73.04/45.94 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90))),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14306, 14305])).
% 73.04/45.94 tff(14308,plain,
% 73.04/45.94 (v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1))),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14307, 854, 14252])).
% 73.04/45.94 tff(14309,plain,
% 73.04/45.94 (v90(constB90, bitIndex1)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14308, 14301])).
% 73.04/45.94 tff(14310,plain,
% 73.04/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14311,plain,
% 73.04/45.94 (((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1)) <=> ((~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14312,plain,
% 73.04/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1)))),
% 73.04/45.94 inference(monotonicity,[status(thm)],[14311])).
% 73.04/45.94 tff(14313,plain,
% 73.04/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))),
% 73.04/45.94 inference(transitivity,[status(thm)],[14312, 14310])).
% 73.04/45.94 tff(14314,plain,
% 73.04/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14315,plain,
% 73.04/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1)),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14314, 14313])).
% 73.04/45.94 tff(14316,plain,
% 73.04/45.94 ((~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14315, 872, 14266])).
% 73.04/45.94 tff(14317,plain,
% 73.04/45.94 ((~v90(constB90, bitIndex1)) | v90(constB91, bitIndex1)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14316, 14278])).
% 73.04/45.94 tff(14318,plain,
% 73.04/45.94 (v90(constB91, bitIndex1)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14317, 14309])).
% 73.04/45.94 tff(14319,plain,
% 73.04/45.94 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB89)) | v130(constB89, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB89)) | v130(constB89, bitIndex0))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14320,plain,
% 73.04/45.94 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB89)) | v130(constB89, bitIndex0))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14321,plain,
% 73.04/45.94 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB89)) | v130(constB89, bitIndex0)),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14320, 14319])).
% 73.04/45.94 tff(14322,plain,
% 73.04/45.94 (v130(constB89, bitIndex0)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14321, 1162, 14158])).
% 73.04/45.94 tff(14323,plain,
% 73.04/45.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14324,plain,
% 73.04/45.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14325,plain,
% 73.04/45.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0)),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14324, 14323])).
% 73.04/45.94 tff(14326,plain,
% 73.04/45.94 (v26(constB89) | v127(constB89, bitIndex0)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14325, 179, 14322])).
% 73.04/45.94 tff(14327,plain,
% 73.04/45.94 (v127(constB89, bitIndex0)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14326, 7968])).
% 73.04/45.94 tff(14328,plain,
% 73.04/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14329,plain,
% 73.04/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14330,plain,
% 73.04/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0)),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14329, 14328])).
% 73.04/45.94 tff(14331,plain,
% 73.04/45.94 ((~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14330, 197, 14173])).
% 73.04/45.94 tff(14332,plain,
% 73.04/45.94 (v129(constB90, bitIndex0)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14331, 14327])).
% 73.04/45.94 tff(14333,plain,
% 73.04/45.94 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14334,plain,
% 73.04/45.94 ((v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0))) <=> (v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14335,plain,
% 73.04/45.94 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90))))),
% 73.04/45.94 inference(monotonicity,[status(thm)],[14334])).
% 73.04/45.94 tff(14336,plain,
% 73.04/45.94 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))),
% 73.04/45.94 inference(transitivity,[status(thm)],[14335, 14333])).
% 73.04/45.94 tff(14337,plain,
% 73.04/45.94 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0)))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14338,plain,
% 73.04/45.94 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90))),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14337, 14336])).
% 73.04/45.94 tff(14339,plain,
% 73.04/45.94 (v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0))),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14338, 401, 14252])).
% 73.04/45.94 tff(14340,plain,
% 73.04/45.94 (v90(constB90, bitIndex0)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14339, 14332])).
% 73.04/45.94 tff(14341,plain,
% 73.04/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14342,plain,
% 73.04/45.94 (((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0)) <=> ((~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14343,plain,
% 73.04/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0)))),
% 73.04/45.94 inference(monotonicity,[status(thm)],[14342])).
% 73.04/45.94 tff(14344,plain,
% 73.04/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))),
% 73.04/45.94 inference(transitivity,[status(thm)],[14343, 14341])).
% 73.04/45.94 tff(14345,plain,
% 73.04/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14346,plain,
% 73.04/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0)),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14345, 14344])).
% 73.04/45.94 tff(14347,plain,
% 73.04/45.94 ((~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14346, 437, 14266])).
% 73.04/45.94 tff(14348,plain,
% 73.04/45.94 ((~v90(constB90, bitIndex0)) | v90(constB91, bitIndex0)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14347, 14278])).
% 73.04/45.94 tff(14349,plain,
% 73.04/45.94 (v90(constB91, bitIndex0)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14348, 14340])).
% 73.04/45.94 tff(14350,plain,
% 73.04/45.94 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14351,plain,
% 73.04/45.94 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14352,plain,
% 73.04/45.94 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91)),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14351, 14350])).
% 73.04/45.94 tff(14353,plain,
% 73.04/45.94 (v122(constB91)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14352, 1203, 14349, 14318, 14287])).
% 73.04/45.94 tff(14354,plain,
% 73.04/45.94 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB91)) | (~v130(constB91, bitIndex1)))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14355,plain,
% 73.04/45.94 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex1)))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14356,plain,
% 73.04/45.94 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB91)) | (~v130(constB91, bitIndex1))),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14355, 14354])).
% 73.04/45.94 tff(14357,plain,
% 73.04/45.94 (~v130(constB91, bitIndex1)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14356, 1389, 14353])).
% 73.04/45.94 tff(14358,assumption,(v26(constB91)), introduced(assumption)).
% 73.04/45.94 tff(14359,plain,
% 73.04/45.94 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB91))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14360,plain,
% 73.04/45.94 ($false),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14359, 37, 14358])).
% 73.04/45.94 tff(14361,plain,(~v26(constB91)), inference(lemma,lemma(discharge,[]))).
% 73.04/45.94 tff(14362,plain,
% 73.04/45.94 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14363,plain,
% 73.04/45.94 ((v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1))) <=> ((~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14364,plain,
% 73.04/45.94 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1)))),
% 73.04/45.94 inference(monotonicity,[status(thm)],[14363])).
% 73.04/45.94 tff(14365,plain,
% 73.04/45.94 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))),
% 73.04/45.94 inference(transitivity,[status(thm)],[14364, 14362])).
% 73.04/45.94 tff(14366,plain,
% 73.04/45.94 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1)))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14367,plain,
% 73.04/45.94 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1)),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14366, 14365])).
% 73.04/45.94 tff(14368,plain,
% 73.04/45.94 ((~v127(constB91, bitIndex1)) | v130(constB91, bitIndex1)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14367, 555, 14361])).
% 73.04/45.94 tff(14369,plain,
% 73.04/45.94 (~v127(constB91, bitIndex1)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14368, 14357])).
% 73.04/45.94 tff(14370,plain,
% 73.04/45.94 (nextState(constB91, constB92) <=> nextState(constB91, constB92)),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14371,axiom,(nextState(constB91, constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_91_1')).
% 73.04/45.94 tff(14372,plain,
% 73.04/45.94 (nextState(constB91, constB92)),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14371, 14370])).
% 73.04/45.94 tff(14373,plain,
% 73.04/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1)))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14374,plain,
% 73.04/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1)))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14375,plain,
% 73.04/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1))),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14374, 14373])).
% 73.04/45.94 tff(14376,plain,
% 73.04/45.94 (v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1))),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14375, 588, 14372])).
% 73.04/45.94 tff(14377,plain,
% 73.04/45.94 (~v129(constB92, bitIndex1)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14376, 14369])).
% 73.04/45.94 tff(14378,plain,
% 73.04/45.94 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB91)) | (~v130(constB91, bitIndex0)))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14379,plain,
% 73.04/45.94 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex0)))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14380,plain,
% 73.04/45.94 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB91)) | (~v130(constB91, bitIndex0))),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14379, 14378])).
% 73.04/45.94 tff(14381,plain,
% 73.04/45.94 (~v130(constB91, bitIndex0)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14380, 1433, 14353])).
% 73.04/45.94 tff(14382,assumption,(~v130(constB91, bitIndex0)), introduced(assumption)).
% 73.04/45.94 tff(14383,assumption,(~v114(constB91)), introduced(assumption)).
% 73.04/45.94 tff(14384,plain,
% 73.04/45.94 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB91) | (~v115(constB91)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB91) | (~v115(constB91)))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14385,plain,
% 73.04/45.94 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB91) | (~v115(constB91)))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14386,plain,
% 73.04/45.94 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB91) | (~v115(constB91))),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14385, 14384])).
% 73.04/45.94 tff(14387,plain,
% 73.04/45.94 (~v115(constB91)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14386, 276, 14383])).
% 73.04/45.94 tff(14388,plain,
% 73.04/45.94 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB91) | (~v116(constB91)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB91) | (~v116(constB91)))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14389,plain,
% 73.04/45.94 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB91) | (~v116(constB91)))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14390,plain,
% 73.04/45.94 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB91) | (~v116(constB91))),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14389, 14388])).
% 73.04/45.94 tff(14391,plain,
% 73.04/45.94 (~v116(constB91)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14390, 265, 14387])).
% 73.04/45.94 tff(14392,plain,
% 73.04/45.94 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB91) | (~v117(constB91)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB91) | (~v117(constB91)))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14393,plain,
% 73.04/45.94 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB91) | (~v117(constB91)))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14394,plain,
% 73.04/45.94 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB91) | (~v117(constB91))),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14393, 14392])).
% 73.04/45.94 tff(14395,plain,
% 73.04/45.94 (~v117(constB91)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14394, 254, 14391])).
% 73.04/45.94 tff(14396,plain,
% 73.04/45.94 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB91) | (~v118(constB91)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB91) | (~v118(constB91)))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14397,plain,
% 73.04/45.94 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB91) | (~v118(constB91)))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14398,plain,
% 73.04/45.94 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB91) | (~v118(constB91))),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14397, 14396])).
% 73.04/45.94 tff(14399,plain,
% 73.04/45.94 (~v118(constB91)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14398, 243, 14395])).
% 73.04/45.94 tff(14400,plain,
% 73.04/45.94 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB91)) | v130(constB91, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB91)) | v130(constB91, bitIndex0))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14401,plain,
% 73.04/45.94 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB91)) | v130(constB91, bitIndex0))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14402,plain,
% 73.04/45.94 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB91)) | v130(constB91, bitIndex0)),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14401, 14400])).
% 73.04/45.94 tff(14403,plain,
% 73.04/45.94 (~v119(constB91)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14402, 165, 14382])).
% 73.04/45.94 tff(14404,plain,
% 73.04/45.94 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB91) | (~v124(constB91)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB91) | (~v124(constB91)))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14405,plain,
% 73.04/45.94 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB91) | (~v124(constB91)))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14406,plain,
% 73.04/45.94 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB91) | (~v124(constB91))),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14405, 14404])).
% 73.04/45.94 tff(14407,plain,
% 73.04/45.94 (~v124(constB91)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14406, 1718, 14383])).
% 73.04/45.94 tff(14408,plain,
% 73.04/45.94 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB91)) | v130(constB91, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB91)) | v130(constB91, bitIndex0))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14409,plain,
% 73.04/45.94 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB91)) | v130(constB91, bitIndex0))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14410,plain,
% 73.04/45.94 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB91)) | v130(constB91, bitIndex0)),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14409, 14408])).
% 73.04/45.94 tff(14411,plain,
% 73.04/45.94 (~v121(constB91)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14410, 1162, 14382])).
% 73.04/45.94 tff(14412,plain,
% 73.04/45.94 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB91)) | v130(constB91, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB91)) | v130(constB91, bitIndex0))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14413,plain,
% 73.04/45.94 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB91)) | v130(constB91, bitIndex0))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14414,plain,
% 73.04/45.94 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB91)) | v130(constB91, bitIndex0)),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14413, 14412])).
% 73.04/45.94 tff(14415,plain,
% 73.04/45.94 (~v123(constB91)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14414, 1666, 14382])).
% 73.04/45.94 tff(14416,plain,
% 73.04/45.94 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB91) | (~v122(constB91)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB91) | (~v122(constB91)))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14417,plain,
% 73.04/45.94 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB91) | (~v122(constB91)))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14418,plain,
% 73.04/45.94 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB91) | (~v122(constB91))),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14417, 14416])).
% 73.04/45.94 tff(14419,plain,
% 73.04/45.94 (~v122(constB91)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14418, 1214, 14391])).
% 73.04/45.94 tff(14420,plain,
% 73.04/45.94 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB91) | v123(constB91) | v122(constB91) | v121(constB91) | v120(constB91) | v119(constB91) | v130(constB91, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB91) | v123(constB91) | v122(constB91) | v121(constB91) | v120(constB91) | v119(constB91) | v130(constB91, bitIndex0))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14421,plain,
% 73.04/45.94 ((v120(constB91) | v119(constB91) | v121(constB91) | v122(constB91) | v123(constB91) | v124(constB91) | v130(constB91, bitIndex0)) <=> (v124(constB91) | v123(constB91) | v122(constB91) | v121(constB91) | v120(constB91) | v119(constB91) | v130(constB91, bitIndex0))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14422,plain,
% 73.04/45.94 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB91) | v119(constB91) | v121(constB91) | v122(constB91) | v123(constB91) | v124(constB91) | v130(constB91, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB91) | v123(constB91) | v122(constB91) | v121(constB91) | v120(constB91) | v119(constB91) | v130(constB91, bitIndex0)))),
% 73.04/45.94 inference(monotonicity,[status(thm)],[14421])).
% 73.04/45.94 tff(14423,plain,
% 73.04/45.94 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB91) | v119(constB91) | v121(constB91) | v122(constB91) | v123(constB91) | v124(constB91) | v130(constB91, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB91) | v123(constB91) | v122(constB91) | v121(constB91) | v120(constB91) | v119(constB91) | v130(constB91, bitIndex0))),
% 73.04/45.94 inference(transitivity,[status(thm)],[14422, 14420])).
% 73.04/45.94 tff(14424,plain,
% 73.04/45.94 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB91) | v119(constB91) | v121(constB91) | v122(constB91) | v123(constB91) | v124(constB91) | v130(constB91, bitIndex0))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14425,plain,
% 73.04/45.94 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB91) | v123(constB91) | v122(constB91) | v121(constB91) | v120(constB91) | v119(constB91) | v130(constB91, bitIndex0)),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14424, 14423])).
% 73.04/45.94 tff(14426,plain,
% 73.04/45.94 (v124(constB91) | v123(constB91) | v122(constB91) | v121(constB91) | v120(constB91) | v119(constB91)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14425, 2192, 14382])).
% 73.04/45.94 tff(14427,plain,
% 73.04/45.94 (v120(constB91)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14426, 14419, 14415, 14411, 14407, 14403])).
% 73.04/45.94 tff(14428,plain,
% 73.04/45.94 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB91) | (~v120(constB91)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB91) | (~v120(constB91)))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14429,plain,
% 73.04/45.94 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB91) | (~v120(constB91)))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14430,plain,
% 73.04/45.94 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB91) | (~v120(constB91))),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14429, 14428])).
% 73.04/45.94 tff(14431,plain,
% 73.04/45.94 ($false),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14430, 646, 14427, 14399])).
% 73.04/45.94 tff(14432,plain,(v114(constB91) | v130(constB91, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.04/45.94 tff(14433,plain,
% 73.04/45.94 (v114(constB91)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14432, 14382])).
% 73.04/45.94 tff(14434,plain,
% 73.04/45.94 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB91) | (~v114(constB91)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB91) | (~v114(constB91)))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14435,plain,
% 73.04/45.94 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB91) | (~v114(constB91)))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14436,plain,
% 73.04/45.94 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB91) | (~v114(constB91))),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14435, 14434])).
% 73.04/45.94 tff(14437,plain,
% 73.04/45.94 (v113(constB91)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14436, 287, 14433])).
% 73.04/45.94 tff(14438,plain,
% 73.04/45.94 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14439,plain,
% 73.04/45.94 ((v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0))) <=> ((~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14440,plain,
% 73.04/45.94 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0)))),
% 73.04/45.94 inference(monotonicity,[status(thm)],[14439])).
% 73.04/45.94 tff(14441,plain,
% 73.04/45.94 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))),
% 73.04/45.94 inference(transitivity,[status(thm)],[14440, 14438])).
% 73.04/45.94 tff(14442,plain,
% 73.04/45.94 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0)))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14443,plain,
% 73.04/45.94 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0)),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14442, 14441])).
% 73.04/45.94 tff(14444,plain,
% 73.04/45.94 ((~v127(constB91, bitIndex0)) | v130(constB91, bitIndex0)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14443, 905, 14361])).
% 73.04/45.94 tff(14445,plain,
% 73.04/45.94 (~v127(constB91, bitIndex0)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14444, 14382])).
% 73.04/45.94 tff(14446,plain,
% 73.04/45.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0)))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14447,plain,
% 73.04/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0)))),
% 73.04/45.94 inference(quant_inst,[status(thm)],[])).
% 73.04/45.94 tff(14448,plain,
% 73.04/45.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0))),
% 73.04/45.94 inference(modus_ponens,[status(thm)],[14447, 14446])).
% 73.04/45.94 tff(14449,plain,
% 73.04/45.94 (v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0))),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14448, 923, 14372])).
% 73.04/45.94 tff(14450,plain,
% 73.04/45.94 (~v129(constB92, bitIndex0)),
% 73.04/45.94 inference(unit_resolution,[status(thm)],[14449, 14445])).
% 73.04/45.94 tff(14451,assumption,(v90(constB92, bitIndex0)), introduced(assumption)).
% 73.04/45.94 tff(14452,plain,
% 73.04/45.94 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))),
% 73.04/45.94 inference(rewrite,[status(thm)],[])).
% 73.04/45.94 tff(14453,plain,
% 73.04/45.94 (((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0)) <=> ((~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))),
% 73.04/45.95 inference(rewrite,[status(thm)],[])).
% 73.04/45.95 tff(14454,plain,
% 73.04/45.95 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92))))),
% 73.04/45.95 inference(monotonicity,[status(thm)],[14453])).
% 73.04/45.95 tff(14455,plain,
% 73.04/45.95 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))),
% 73.04/45.95 inference(transitivity,[status(thm)],[14454, 14452])).
% 73.04/45.95 tff(14456,plain,
% 73.04/45.95 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0))),
% 73.04/45.95 inference(quant_inst,[status(thm)],[])).
% 73.04/45.95 tff(14457,plain,
% 73.04/45.95 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92))),
% 73.04/45.95 inference(modus_ponens,[status(thm)],[14456, 14455])).
% 73.04/45.95 tff(14458,plain,
% 73.04/45.95 (v129(constB92, bitIndex0) | (~v100(constB92))),
% 73.04/45.95 inference(unit_resolution,[status(thm)],[14457, 938, 14451])).
% 73.04/45.95 tff(14459,plain,
% 73.04/45.95 (~v100(constB92)),
% 73.04/45.95 inference(unit_resolution,[status(thm)],[14458, 14450])).
% 73.04/45.95 tff(14460,plain,
% 73.04/45.95 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))),
% 73.04/45.95 inference(rewrite,[status(thm)],[])).
% 73.04/45.95 tff(14461,plain,
% 73.04/45.95 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))),
% 73.04/45.95 inference(quant_inst,[status(thm)],[])).
% 73.04/45.95 tff(14462,plain,
% 73.04/45.95 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92))),
% 73.04/45.95 inference(modus_ponens,[status(thm)],[14461, 14460])).
% 73.04/45.95 tff(14463,plain,
% 73.04/45.95 (~v104(constB92)),
% 73.04/45.95 inference(unit_resolution,[status(thm)],[14462, 335, 14372, 14263])).
% 73.04/45.95 tff(14464,plain,
% 73.04/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))),
% 73.04/45.95 inference(rewrite,[status(thm)],[])).
% 73.04/45.95 tff(14465,plain,
% 73.04/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))),
% 73.04/45.95 inference(quant_inst,[status(thm)],[])).
% 73.04/45.95 tff(14466,plain,
% 73.04/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v102(constB92) | v104(constB92)),
% 73.04/45.95 inference(modus_ponens,[status(thm)],[14465, 14464])).
% 73.04/45.95 tff(14467,plain,
% 73.04/45.95 (v102(constB92) | v104(constB92)),
% 73.04/45.95 inference(unit_resolution,[status(thm)],[14466, 349, 14372])).
% 73.04/45.95 tff(14468,plain,
% 73.04/45.95 (v102(constB92)),
% 73.04/45.95 inference(unit_resolution,[status(thm)],[14467, 14463])).
% 73.04/45.95 tff(14469,plain,
% 73.04/45.95 (v1(constB92) <=> v1(constB92)),
% 73.04/45.95 inference(rewrite,[status(thm)],[])).
% 73.04/45.95 tff(14470,axiom,(v1(constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_92_1')).
% 73.04/45.95 tff(14471,plain,
% 73.04/45.95 (v1(constB92)),
% 73.04/45.95 inference(modus_ponens,[status(thm)],[14470, 14469])).
% 73.04/45.95 tff(14472,plain,
% 73.04/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))),
% 73.04/45.95 inference(rewrite,[status(thm)],[])).
% 73.04/45.95 tff(14473,plain,
% 73.04/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))),
% 73.04/45.95 inference(quant_inst,[status(thm)],[])).
% 73.04/45.95 tff(14474,plain,
% 73.04/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92))),
% 73.04/45.95 inference(modus_ponens,[status(thm)],[14473, 14472])).
% 73.04/45.95 tff(14475,plain,
% 73.04/45.95 (v101(constB92) | (~v102(constB92))),
% 73.04/45.95 inference(unit_resolution,[status(thm)],[14474, 367, 14372, 14471])).
% 73.04/45.95 tff(14476,plain,
% 73.04/45.95 (v101(constB92)),
% 73.04/45.95 inference(unit_resolution,[status(thm)],[14475, 14468])).
% 73.04/45.95 tff(14477,plain,
% 73.04/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 73.04/45.95 inference(rewrite,[status(thm)],[])).
% 73.04/45.95 tff(14478,plain,
% 73.04/45.95 (((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92)) <=> ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 73.04/45.95 inference(rewrite,[status(thm)],[])).
% 73.04/45.95 tff(14479,plain,
% 73.04/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92))))),
% 73.04/45.95 inference(monotonicity,[status(thm)],[14478])).
% 73.04/45.95 tff(14480,plain,
% 73.04/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 73.04/45.95 inference(transitivity,[status(thm)],[14479, 14477])).
% 73.04/45.95 tff(14481,plain,
% 73.04/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))),
% 73.04/45.95 inference(quant_inst,[status(thm)],[])).
% 73.04/45.95 tff(14482,plain,
% 73.04/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92))),
% 73.04/45.95 inference(modus_ponens,[status(thm)],[14481, 14480])).
% 73.04/45.95 tff(14483,plain,
% 73.04/45.95 (v100(constB92) | (~v101(constB92)) | (~v110(constB92))),
% 73.04/45.95 inference(unit_resolution,[status(thm)],[14482, 382, 14372])).
% 73.04/45.95 tff(14484,plain,
% 73.04/45.95 (v100(constB92) | (~v110(constB92))),
% 73.04/45.95 inference(unit_resolution,[status(thm)],[14483, 14476])).
% 73.04/45.95 tff(14485,plain,
% 73.04/45.95 (~v110(constB92)),
% 73.04/45.95 inference(unit_resolution,[status(thm)],[14484, 14459])).
% 73.04/45.95 tff(14486,plain,
% 73.04/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 73.04/45.95 inference(rewrite,[status(thm)],[])).
% 73.04/45.95 tff(14487,plain,
% 73.04/45.95 (((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92)) <=> ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 73.04/45.95 inference(rewrite,[status(thm)],[])).
% 73.04/45.95 tff(14488,plain,
% 73.04/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91))))),
% 73.04/45.95 inference(monotonicity,[status(thm)],[14487])).
% 73.04/45.95 tff(14489,plain,
% 73.04/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 73.04/45.95 inference(transitivity,[status(thm)],[14488, 14486])).
% 73.04/45.95 tff(14490,plain,
% 73.04/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))),
% 73.04/45.95 inference(quant_inst,[status(thm)],[])).
% 73.04/45.95 tff(14491,plain,
% 73.04/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91))),
% 73.04/45.95 inference(modus_ponens,[status(thm)],[14490, 14489])).
% 73.04/45.95 tff(14492,plain,
% 73.04/45.95 (v110(constB92) | (~v108(constB91))),
% 73.04/45.95 inference(unit_resolution,[status(thm)],[14491, 317, 14372])).
% 73.04/45.95 tff(14493,plain,
% 73.04/45.95 (~v108(constB91)),
% 73.04/45.95 inference(unit_resolution,[status(thm)],[14492, 14485])).
% 73.04/45.95 tff(14494,plain,
% 73.04/45.95 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB91) | (~v112(constB91)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB91) | (~v112(constB91)))),
% 73.04/45.95 inference(rewrite,[status(thm)],[])).
% 73.04/45.95 tff(14495,plain,
% 73.04/45.95 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB91) | (~v112(constB91)))),
% 73.04/45.95 inference(quant_inst,[status(thm)],[])).
% 73.04/45.95 tff(14496,plain,
% 73.04/45.95 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB91) | (~v112(constB91))),
% 73.04/45.95 inference(modus_ponens,[status(thm)],[14495, 14494])).
% 73.04/45.95 tff(14497,plain,
% 73.04/45.95 (~v112(constB91)),
% 73.04/45.95 inference(unit_resolution,[status(thm)],[14496, 210, 14493])).
% 73.04/45.95 tff(14498,plain,
% 73.04/45.95 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | (~v113(constB91)) | v112(constB91))),
% 73.04/45.95 inference(rewrite,[status(thm)],[])).
% 73.04/45.95 tff(14499,plain,
% 73.04/45.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))),
% 73.04/45.95 inference(quant_inst,[status(thm)],[])).
% 73.04/45.95 tff(14500,plain,
% 73.04/45.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | (~v113(constB91)) | v112(constB91)),
% 73.04/45.95 inference(modus_ponens,[status(thm)],[14499, 14498])).
% 73.04/45.95 tff(14501,plain,
% 73.04/45.95 ((~v113(constB91)) | v112(constB91)),
% 73.04/45.95 inference(unit_resolution,[status(thm)],[14500, 301, 14361])).
% 73.04/45.95 tff(14502,plain,
% 73.04/45.95 ($false),
% 73.04/45.95 inference(unit_resolution,[status(thm)],[14501, 14497, 14437])).
% 73.04/45.95 tff(14503,plain,(v130(constB91, bitIndex0) | (~v90(constB92, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 73.04/45.95 tff(14504,plain,
% 73.04/45.95 (~v90(constB92, bitIndex0)),
% 73.04/45.95 inference(unit_resolution,[status(thm)],[14503, 14381])).
% 73.04/45.95 tff(14505,plain,
% 73.04/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB91, bitIndex0)) | (~nextState(constB91, constB92)) | v100(constB92) | v90(constB92, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB91, bitIndex0)) | (~nextState(constB91, constB92)) | v100(constB92) | v90(constB92, bitIndex0))),
% 73.04/45.95 inference(rewrite,[status(thm)],[])).
% 73.04/45.95 tff(14506,plain,
% 73.04/45.95 (((~nextState(constB91, constB92)) | (~v90(constB91, bitIndex0)) | v100(constB92) | v90(constB92, bitIndex0)) <=> ((~v90(constB91, bitIndex0)) | (~nextState(constB91, constB92)) | v100(constB92) | v90(constB92, bitIndex0))),
% 73.04/45.95 inference(rewrite,[status(thm)],[])).
% 73.04/45.95 tff(14507,plain,
% 73.04/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB91, constB92)) | (~v90(constB91, bitIndex0)) | v100(constB92) | v90(constB92, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB91, bitIndex0)) | (~nextState(constB91, constB92)) | v100(constB92) | v90(constB92, bitIndex0)))),
% 73.04/45.95 inference(monotonicity,[status(thm)],[14506])).
% 73.04/45.95 tff(14508,plain,
% 73.04/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB91, constB92)) | (~v90(constB91, bitIndex0)) | v100(constB92) | v90(constB92, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB91, bitIndex0)) | (~nextState(constB91, constB92)) | v100(constB92) | v90(constB92, bitIndex0))),
% 73.04/45.95 inference(transitivity,[status(thm)],[14507, 14505])).
% 73.04/45.95 tff(14509,plain,
% 73.04/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB91, constB92)) | (~v90(constB91, bitIndex0)) | v100(constB92) | v90(constB92, bitIndex0))),
% 73.04/45.95 inference(quant_inst,[status(thm)],[])).
% 73.04/45.95 tff(14510,plain,
% 73.04/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB91, bitIndex0)) | (~nextState(constB91, constB92)) | v100(constB92) | v90(constB92, bitIndex0)),
% 73.04/45.95 inference(modus_ponens,[status(thm)],[14509, 14508])).
% 73.04/45.95 tff(14511,plain,
% 73.04/45.95 ((~v90(constB91, bitIndex0)) | v100(constB92) | v90(constB92, bitIndex0)),
% 73.04/45.95 inference(unit_resolution,[status(thm)],[14510, 437, 14372])).
% 73.04/45.95 tff(14512,plain,
% 73.04/45.95 (v100(constB92)),
% 73.04/45.95 inference(unit_resolution,[status(thm)],[14511, 14504, 14349])).
% 73.04/45.95 tff(14513,plain,
% 73.04/45.95 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))),
% 73.04/45.95 inference(rewrite,[status(thm)],[])).
% 73.04/45.95 tff(14514,plain,
% 73.04/45.95 (((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1)) <=> ((~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))),
% 73.04/45.95 inference(rewrite,[status(thm)],[])).
% 73.04/45.95 tff(14515,plain,
% 73.04/45.95 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92))))),
% 73.04/45.95 inference(monotonicity,[status(thm)],[14514])).
% 73.04/45.95 tff(14516,plain,
% 73.12/45.95 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))),
% 73.12/45.95 inference(transitivity,[status(thm)],[14515, 14513])).
% 73.12/45.95 tff(14517,plain,
% 73.12/45.95 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1))),
% 73.12/45.95 inference(quant_inst,[status(thm)],[])).
% 73.12/45.95 tff(14518,plain,
% 73.12/45.95 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92))),
% 73.12/45.95 inference(modus_ponens,[status(thm)],[14517, 14516])).
% 73.12/45.95 tff(14519,plain,
% 73.12/45.95 (~v90(constB92, bitIndex1)),
% 73.12/45.95 inference(unit_resolution,[status(thm)],[14518, 603, 14512, 14377])).
% 73.12/45.95 tff(14520,plain,
% 73.12/45.95 ((~v1(constB93)) <=> (~v1(constB93))),
% 73.12/45.95 inference(rewrite,[status(thm)],[])).
% 73.12/45.95 tff(14521,axiom,(~v1(constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_93_1_1')).
% 73.12/45.95 tff(14522,plain,
% 73.12/45.95 (~v1(constB93)),
% 73.12/45.95 inference(modus_ponens,[status(thm)],[14521, 14520])).
% 73.12/45.95 tff(14523,plain,
% 73.12/45.95 (nextState(constB92, constB93) <=> nextState(constB92, constB93)),
% 73.12/45.95 inference(rewrite,[status(thm)],[])).
% 73.12/45.95 tff(14524,axiom,(nextState(constB92, constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_92_1')).
% 73.12/45.95 tff(14525,plain,
% 73.12/45.95 (nextState(constB92, constB93)),
% 73.12/45.95 inference(modus_ponens,[status(thm)],[14524, 14523])).
% 73.12/45.95 tff(14526,plain,
% 73.12/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 73.12/45.95 inference(rewrite,[status(thm)],[])).
% 73.12/45.95 tff(14527,plain,
% 73.12/45.95 (((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93)) <=> (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 73.12/45.95 inference(rewrite,[status(thm)],[])).
% 73.12/45.95 tff(14528,plain,
% 73.12/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93))))),
% 73.12/45.95 inference(monotonicity,[status(thm)],[14527])).
% 73.12/45.95 tff(14529,plain,
% 73.12/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 73.12/45.95 inference(transitivity,[status(thm)],[14528, 14526])).
% 73.12/45.95 tff(14530,plain,
% 73.12/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))),
% 73.12/45.95 inference(quant_inst,[status(thm)],[])).
% 73.12/45.95 tff(14531,plain,
% 73.12/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93))),
% 73.12/45.95 inference(modus_ponens,[status(thm)],[14530, 14529])).
% 73.12/45.95 tff(14532,plain,
% 73.12/45.95 (~v101(constB93)),
% 73.12/45.95 inference(unit_resolution,[status(thm)],[14531, 56, 14525, 14522])).
% 73.12/45.95 tff(14533,plain,
% 73.12/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))),
% 73.12/45.95 inference(rewrite,[status(thm)],[])).
% 73.12/45.95 tff(14534,plain,
% 73.12/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))),
% 73.12/45.95 inference(quant_inst,[status(thm)],[])).
% 73.12/45.95 tff(14535,plain,
% 73.12/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93))),
% 73.12/45.95 inference(modus_ponens,[status(thm)],[14534, 14533])).
% 73.12/45.95 tff(14536,plain,
% 73.12/45.95 (v101(constB93) | (~v100(constB93))),
% 73.12/45.95 inference(unit_resolution,[status(thm)],[14535, 73, 14525])).
% 73.12/45.95 tff(14537,plain,
% 73.12/45.95 (~v100(constB93)),
% 73.12/45.95 inference(unit_resolution,[status(thm)],[14536, 14532])).
% 73.12/45.95 tff(14538,plain,
% 73.12/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 73.12/45.95 inference(rewrite,[status(thm)],[])).
% 73.12/45.95 tff(14539,plain,
% 73.12/45.95 (((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1))) <=> (v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 73.12/45.95 inference(rewrite,[status(thm)],[])).
% 73.12/45.95 tff(14540,plain,
% 73.12/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1))))),
% 73.12/45.95 inference(monotonicity,[status(thm)],[14539])).
% 73.12/45.95 tff(14541,plain,
% 73.12/45.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 73.12/45.95 inference(transitivity,[status(thm)],[14540, 14538])).
% 73.12/45.95 tff(14542,plain,
% 73.12/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 73.12/45.95 inference(quant_inst,[status(thm)],[])).
% 73.12/45.95 tff(14543,plain,
% 73.12/45.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1))),
% 73.12/45.95 inference(modus_ponens,[status(thm)],[14542, 14541])).
% 73.12/45.95 tff(14544,plain,
% 73.12/45.95 (v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1))),
% 73.12/45.95 inference(unit_resolution,[status(thm)],[14543, 109, 14525])).
% 73.12/45.95 tff(14545,plain,
% 73.12/45.95 (v90(constB92, bitIndex1) | (~v90(constB93, bitIndex1))),
% 73.12/45.95 inference(unit_resolution,[status(thm)],[14544, 14537])).
% 73.12/45.95 tff(14546,plain,
% 73.12/45.95 (~v90(constB93, bitIndex1)),
% 73.12/45.95 inference(unit_resolution,[status(thm)],[14545, 14519])).
% 73.12/45.95 tff(14547,assumption,(~v114(constB93)), introduced(assumption)).
% 73.12/45.95 tff(14548,plain,
% 73.12/45.95 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB93) | (~v115(constB93)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB93) | (~v115(constB93)))),
% 73.12/45.95 inference(rewrite,[status(thm)],[])).
% 73.12/45.95 tff(14549,plain,
% 73.12/45.95 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB93) | (~v115(constB93)))),
% 73.12/45.95 inference(quant_inst,[status(thm)],[])).
% 73.12/45.95 tff(14550,plain,
% 73.12/45.95 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB93) | (~v115(constB93))),
% 73.12/45.95 inference(modus_ponens,[status(thm)],[14549, 14548])).
% 73.12/45.95 tff(14551,plain,
% 73.12/45.95 (~v115(constB93)),
% 73.12/45.95 inference(unit_resolution,[status(thm)],[14550, 276, 14547])).
% 73.12/45.95 tff(14552,plain,
% 73.12/45.95 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB93) | (~v116(constB93)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB93) | (~v116(constB93)))),
% 73.12/45.95 inference(rewrite,[status(thm)],[])).
% 73.12/45.95 tff(14553,plain,
% 73.12/45.95 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB93) | (~v116(constB93)))),
% 73.12/45.95 inference(quant_inst,[status(thm)],[])).
% 73.12/45.95 tff(14554,plain,
% 73.12/45.95 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB93) | (~v116(constB93))),
% 73.12/45.95 inference(modus_ponens,[status(thm)],[14553, 14552])).
% 73.12/45.95 tff(14555,plain,
% 73.12/45.95 (~v116(constB93)),
% 73.12/45.95 inference(unit_resolution,[status(thm)],[14554, 265, 14551])).
% 73.12/45.95 tff(14556,plain,
% 73.12/45.95 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB93) | (~v117(constB93)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB93) | (~v117(constB93)))),
% 73.12/45.95 inference(rewrite,[status(thm)],[])).
% 73.12/45.95 tff(14557,plain,
% 73.12/45.95 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB93) | (~v117(constB93)))),
% 73.12/45.95 inference(quant_inst,[status(thm)],[])).
% 73.12/45.95 tff(14558,plain,
% 73.12/45.95 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB93) | (~v117(constB93))),
% 73.12/45.95 inference(modus_ponens,[status(thm)],[14557, 14556])).
% 73.12/45.95 tff(14559,plain,
% 73.12/45.95 (~v117(constB93)),
% 73.12/45.95 inference(unit_resolution,[status(thm)],[14558, 254, 14555])).
% 73.12/45.95 tff(14560,plain,
% 73.12/45.95 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB93) | (~v118(constB93)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB93) | (~v118(constB93)))),
% 73.12/45.95 inference(rewrite,[status(thm)],[])).
% 73.12/45.95 tff(14561,plain,
% 73.12/45.95 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB93) | (~v118(constB93)))),
% 73.12/45.95 inference(quant_inst,[status(thm)],[])).
% 73.12/45.95 tff(14562,plain,
% 73.12/45.95 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB93) | (~v118(constB93))),
% 73.12/45.95 inference(modus_ponens,[status(thm)],[14561, 14560])).
% 73.12/45.95 tff(14563,plain,
% 73.12/45.95 (~v118(constB93)),
% 73.12/45.95 inference(unit_resolution,[status(thm)],[14562, 243, 14559])).
% 73.12/45.95 tff(14564,plain,
% 73.12/45.95 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB93) | (~v120(constB93)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB93) | (~v120(constB93)))),
% 73.12/45.95 inference(rewrite,[status(thm)],[])).
% 73.12/45.95 tff(14565,plain,
% 73.12/45.95 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB93) | (~v120(constB93)))),
% 73.12/45.95 inference(quant_inst,[status(thm)],[])).
% 73.12/45.95 tff(14566,plain,
% 73.12/45.95 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB93) | (~v120(constB93))),
% 73.12/45.95 inference(modus_ponens,[status(thm)],[14565, 14564])).
% 73.12/45.95 tff(14567,plain,
% 73.12/45.95 (~v120(constB93)),
% 73.12/45.95 inference(unit_resolution,[status(thm)],[14566, 646, 14563])).
% 73.12/45.95 tff(14568,plain,
% 73.12/45.95 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB93) | (~v123(constB93)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB93) | (~v123(constB93)))),
% 73.12/45.95 inference(rewrite,[status(thm)],[])).
% 73.12/45.95 tff(14569,plain,
% 73.12/45.95 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB93) | (~v123(constB93)))),
% 73.12/45.95 inference(quant_inst,[status(thm)],[])).
% 73.12/45.95 tff(14570,plain,
% 73.12/45.95 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB93) | (~v123(constB93))),
% 73.12/45.95 inference(modus_ponens,[status(thm)],[14569, 14568])).
% 73.12/45.95 tff(14571,plain,
% 73.12/45.95 (~v123(constB93)),
% 73.12/45.95 inference(unit_resolution,[status(thm)],[14570, 1488, 14551])).
% 73.12/45.95 tff(14572,assumption,(~v90(constB93, bitIndex1)), introduced(assumption)).
% 73.12/45.95 tff(14573,plain,
% 73.12/45.95 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB93) | (~v119(constB93)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB93) | (~v119(constB93)))),
% 73.12/45.95 inference(rewrite,[status(thm)],[])).
% 73.12/45.95 tff(14574,plain,
% 73.12/45.95 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB93) | (~v119(constB93)))),
% 73.12/45.95 inference(quant_inst,[status(thm)],[])).
% 73.12/45.95 tff(14575,plain,
% 73.12/45.95 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB93) | (~v119(constB93))),
% 73.12/45.95 inference(modus_ponens,[status(thm)],[14574, 14573])).
% 73.12/45.95 tff(14576,plain,
% 73.12/45.95 (~v119(constB93)),
% 73.12/45.95 inference(unit_resolution,[status(thm)],[14575, 232, 14563])).
% 73.12/45.95 tff(14577,assumption,(~v119(constB93)), introduced(assumption)).
% 73.12/45.95 tff(14578,assumption,(~v90(constB93, bitIndex0)), introduced(assumption)).
% 73.12/45.95 tff(14579,assumption,(~v123(constB93)), introduced(assumption)).
% 73.12/45.95 tff(14580,plain,
% 73.12/45.95 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93))),
% 73.12/45.95 inference(rewrite,[status(thm)],[])).
% 73.12/45.95 tff(14581,plain,
% 73.12/45.95 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93))),
% 73.12/45.95 inference(quant_inst,[status(thm)],[])).
% 73.12/45.95 tff(14582,plain,
% 73.12/45.95 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93)),
% 73.12/45.95 inference(modus_ponens,[status(thm)],[14581, 14580])).
% 73.12/45.95 tff(14583,plain,
% 73.12/45.95 (v90(constB93, bitIndex0) | (~v90(constB93, bitIndex2)) | v123(constB93)),
% 73.12/45.95 inference(unit_resolution,[status(thm)],[14582, 1477, 14572])).
% 73.12/45.95 tff(14584,plain,
% 73.12/45.95 (~v90(constB93, bitIndex2)),
% 73.12/45.95 inference(unit_resolution,[status(thm)],[14583, 14578, 14579])).
% 73.12/45.95 tff(14585,plain,
% 73.12/45.95 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB93) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB93) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2))),
% 73.12/45.95 inference(rewrite,[status(thm)],[])).
% 73.12/45.95 tff(14586,plain,
% 73.12/45.95 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB93) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2))),
% 73.12/45.95 inference(quant_inst,[status(thm)],[])).
% 73.12/45.95 tff(14587,plain,
% 73.12/45.95 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB93) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2)),
% 73.12/45.95 inference(modus_ponens,[status(thm)],[14586, 14585])).
% 73.12/45.95 tff(14588,plain,
% 73.12/45.95 (v119(constB93) | v90(constB93, bitIndex0) | v90(constB93, bitIndex2)),
% 73.12/45.95 inference(unit_resolution,[status(thm)],[14587, 151, 14572])).
% 73.12/45.95 tff(14589,plain,
% 73.12/45.95 ($false),
% 73.12/45.95 inference(unit_resolution,[status(thm)],[14588, 14584, 14578, 14577])).
% 73.12/45.95 tff(14590,plain,(v90(constB93, bitIndex0) | v119(constB93) | v90(constB93, bitIndex1) | v123(constB93)), inference(lemma,lemma(discharge,[]))).
% 73.12/45.95 tff(14591,plain,
% 73.12/45.95 (v90(constB93, bitIndex0)),
% 73.12/45.95 inference(unit_resolution,[status(thm)],[14590, 14576, 14572, 14571])).
% 73.12/45.95 tff(14592,plain,
% 73.12/45.95 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB93) | (~v124(constB93)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB93) | (~v124(constB93)))),
% 73.12/45.95 inference(rewrite,[status(thm)],[])).
% 73.12/45.95 tff(14593,plain,
% 73.12/45.95 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB93) | (~v124(constB93)))),
% 73.12/45.95 inference(quant_inst,[status(thm)],[])).
% 73.12/45.95 tff(14594,plain,
% 73.12/45.95 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB93) | (~v124(constB93))),
% 73.12/45.95 inference(modus_ponens,[status(thm)],[14593, 14592])).
% 73.12/45.95 tff(14595,plain,
% 73.12/45.95 (~v124(constB93)),
% 73.12/45.95 inference(unit_resolution,[status(thm)],[14594, 1718, 14547])).
% 73.12/45.95 tff(14596,plain,
% 73.12/45.95 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB93, bitIndex0)) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v124(constB93))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB93, bitIndex0)) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v124(constB93))),
% 73.12/45.95 inference(rewrite,[status(thm)],[])).
% 73.12/45.95 tff(14597,plain,
% 73.12/45.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB93, bitIndex0)) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v124(constB93))),
% 73.12/45.95 inference(quant_inst,[status(thm)],[])).
% 73.12/45.95 tff(14598,plain,
% 73.12/45.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB93, bitIndex0)) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v124(constB93)),
% 73.12/45.95 inference(modus_ponens,[status(thm)],[14597, 14596])).
% 73.12/45.95 tff(14599,plain,
% 73.12/45.95 ((~v90(constB93, bitIndex0)) | (~v90(constB93, bitIndex2)) | v124(constB93)),
% 73.12/45.95 inference(unit_resolution,[status(thm)],[14598, 1707, 14572])).
% 73.12/45.95 tff(14600,plain,
% 73.12/45.95 (~v90(constB93, bitIndex2)),
% 73.12/45.95 inference(unit_resolution,[status(thm)],[14599, 14591, 14595])).
% 73.12/45.95 tff(14601,plain,
% 73.12/45.95 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB93, bitIndex0)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2) | v120(constB93))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB93, bitIndex0)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2) | v120(constB93))),
% 73.12/45.95 inference(rewrite,[status(thm)],[])).
% 73.12/45.95 tff(14602,plain,
% 73.12/45.95 (((~v90(constB93, bitIndex0)) | v120(constB93) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2)) <=> ((~v90(constB93, bitIndex0)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2) | v120(constB93))),
% 73.12/45.95 inference(rewrite,[status(thm)],[])).
% 73.12/45.95 tff(14603,plain,
% 73.12/45.95 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB93, bitIndex0)) | v120(constB93) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB93, bitIndex0)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2) | v120(constB93)))),
% 73.12/45.95 inference(monotonicity,[status(thm)],[14602])).
% 73.12/45.95 tff(14604,plain,
% 73.12/45.95 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB93, bitIndex0)) | v120(constB93) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB93, bitIndex0)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2) | v120(constB93))),
% 73.12/45.95 inference(transitivity,[status(thm)],[14603, 14601])).
% 73.12/45.95 tff(14605,plain,
% 73.12/45.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB93, bitIndex0)) | v120(constB93) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2))),
% 73.12/45.95 inference(quant_inst,[status(thm)],[])).
% 73.12/45.95 tff(14606,plain,
% 73.12/45.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB93, bitIndex0)) | v90(constB93, bitIndex1) | v90(constB93, bitIndex2) | v120(constB93)),
% 73.12/45.95 inference(modus_ponens,[status(thm)],[14605, 14604])).
% 73.12/45.95 tff(14607,plain,
% 73.12/45.95 ((~v90(constB93, bitIndex0)) | v90(constB93, bitIndex2) | v120(constB93)),
% 73.12/45.95 inference(unit_resolution,[status(thm)],[14606, 631, 14572])).
% 73.12/45.95 tff(14608,plain,
% 73.12/45.95 ($false),
% 73.12/45.95 inference(unit_resolution,[status(thm)],[14607, 14600, 14591, 14567])).
% 73.12/45.95 tff(14609,plain,(v114(constB93) | v90(constB93, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 73.12/45.95 tff(14610,plain,
% 73.12/45.95 (v114(constB93)),
% 73.12/45.95 inference(unit_resolution,[status(thm)],[14609, 14546])).
% 73.12/45.95 tff(14611,plain,
% 73.12/45.95 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB93) | (~v114(constB93)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB93) | (~v114(constB93)))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14612,plain,
% 73.12/45.96 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB93) | (~v114(constB93)))),
% 73.12/45.96 inference(quant_inst,[status(thm)],[])).
% 73.12/45.96 tff(14613,plain,
% 73.12/45.96 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB93) | (~v114(constB93))),
% 73.12/45.96 inference(modus_ponens,[status(thm)],[14612, 14611])).
% 73.12/45.96 tff(14614,plain,
% 73.12/45.96 (v113(constB93)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14613, 287, 14610])).
% 73.12/45.96 tff(14615,assumption,(~v108(constB93)), introduced(assumption)).
% 73.12/45.96 tff(14616,plain,
% 73.12/45.96 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB93) | (~v112(constB93)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB93) | (~v112(constB93)))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14617,plain,
% 73.12/45.96 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB93) | (~v112(constB93)))),
% 73.12/45.96 inference(quant_inst,[status(thm)],[])).
% 73.12/45.96 tff(14618,plain,
% 73.12/45.96 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB93) | (~v112(constB93))),
% 73.12/45.96 inference(modus_ponens,[status(thm)],[14617, 14616])).
% 73.12/45.96 tff(14619,plain,
% 73.12/45.96 (~v112(constB93)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14618, 210, 14615])).
% 73.12/45.96 tff(14620,plain,
% 73.12/45.96 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB93) | (~v26(constB93)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB93) | (~v26(constB93)))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14621,plain,
% 73.12/45.96 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB93) | (~v26(constB93)))),
% 73.12/45.96 inference(quant_inst,[status(thm)],[])).
% 73.12/45.96 tff(14622,plain,
% 73.12/45.96 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB93) | (~v26(constB93))),
% 73.12/45.96 inference(modus_ponens,[status(thm)],[14621, 14620])).
% 73.12/45.96 tff(14623,plain,
% 73.12/45.96 (~v26(constB93)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14622, 221, 14615])).
% 73.12/45.96 tff(14624,assumption,(v113(constB93)), introduced(assumption)).
% 73.12/45.96 tff(14625,plain,
% 73.12/45.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | v112(constB93) | (~v113(constB93)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14626,plain,
% 73.12/45.96 ((v26(constB93) | (~v113(constB93)) | v112(constB93)) <=> (v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14627,plain,
% 73.12/45.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | v112(constB93) | (~v113(constB93))))),
% 73.12/45.96 inference(monotonicity,[status(thm)],[14626])).
% 73.12/45.96 tff(14628,plain,
% 73.12/45.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 73.12/45.96 inference(transitivity,[status(thm)],[14627, 14625])).
% 73.12/45.96 tff(14629,plain,
% 73.12/45.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))),
% 73.12/45.96 inference(quant_inst,[status(thm)],[])).
% 73.12/45.96 tff(14630,plain,
% 73.12/45.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93))),
% 73.12/45.96 inference(modus_ponens,[status(thm)],[14629, 14628])).
% 73.12/45.96 tff(14631,plain,
% 73.12/45.96 (v26(constB93) | v112(constB93)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14630, 301, 14624])).
% 73.12/45.96 tff(14632,plain,
% 73.12/45.96 ($false),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14631, 14623, 14619])).
% 73.12/45.96 tff(14633,plain,(v108(constB93) | (~v113(constB93))), inference(lemma,lemma(discharge,[]))).
% 73.12/45.96 tff(14634,plain,
% 73.12/45.96 (v108(constB93)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14633, 14614])).
% 73.12/45.96 tff(14635,plain,
% 73.12/45.96 (nextState(constB93, constB94) <=> nextState(constB93, constB94)),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14636,axiom,(nextState(constB93, constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_93_1')).
% 73.12/45.96 tff(14637,plain,
% 73.12/45.96 (nextState(constB93, constB94)),
% 73.12/45.96 inference(modus_ponens,[status(thm)],[14636, 14635])).
% 73.12/45.96 tff(14638,plain,
% 73.12/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14639,plain,
% 73.12/45.96 (((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94)) <=> ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14640,plain,
% 73.12/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93))))),
% 73.12/45.96 inference(monotonicity,[status(thm)],[14639])).
% 73.12/45.96 tff(14641,plain,
% 73.12/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 73.12/45.96 inference(transitivity,[status(thm)],[14640, 14638])).
% 73.12/45.96 tff(14642,plain,
% 73.12/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))),
% 73.12/45.96 inference(quant_inst,[status(thm)],[])).
% 73.12/45.96 tff(14643,plain,
% 73.12/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93))),
% 73.12/45.96 inference(modus_ponens,[status(thm)],[14642, 14641])).
% 73.12/45.96 tff(14644,plain,
% 73.12/45.96 (v110(constB94) | (~v108(constB93))),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14643, 317, 14637])).
% 73.12/45.96 tff(14645,plain,
% 73.12/45.96 (v110(constB94)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14644, 14634])).
% 73.12/45.96 tff(14646,plain,
% 73.12/45.96 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14647,plain,
% 73.12/45.96 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))),
% 73.12/45.96 inference(quant_inst,[status(thm)],[])).
% 73.12/45.96 tff(14648,plain,
% 73.12/45.96 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94))),
% 73.12/45.96 inference(modus_ponens,[status(thm)],[14647, 14646])).
% 73.12/45.96 tff(14649,plain,
% 73.12/45.96 (~v104(constB94)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14648, 335, 14637, 14522])).
% 73.12/45.96 tff(14650,plain,
% 73.12/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14651,plain,
% 73.12/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))),
% 73.12/45.96 inference(quant_inst,[status(thm)],[])).
% 73.12/45.96 tff(14652,plain,
% 73.12/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v102(constB94) | v104(constB94)),
% 73.12/45.96 inference(modus_ponens,[status(thm)],[14651, 14650])).
% 73.12/45.96 tff(14653,plain,
% 73.12/45.96 (v102(constB94) | v104(constB94)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14652, 349, 14637])).
% 73.12/45.96 tff(14654,plain,
% 73.12/45.96 (v102(constB94)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14653, 14649])).
% 73.12/45.96 tff(14655,plain,
% 73.12/45.96 (v1(constB94) <=> v1(constB94)),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14656,axiom,(v1(constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_94_1')).
% 73.12/45.96 tff(14657,plain,
% 73.12/45.96 (v1(constB94)),
% 73.12/45.96 inference(modus_ponens,[status(thm)],[14656, 14655])).
% 73.12/45.96 tff(14658,plain,
% 73.12/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14659,plain,
% 73.12/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))),
% 73.12/45.96 inference(quant_inst,[status(thm)],[])).
% 73.12/45.96 tff(14660,plain,
% 73.12/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94))),
% 73.12/45.96 inference(modus_ponens,[status(thm)],[14659, 14658])).
% 73.12/45.96 tff(14661,plain,
% 73.12/45.96 (v101(constB94) | (~v102(constB94))),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14660, 367, 14637, 14657])).
% 73.12/45.96 tff(14662,plain,
% 73.12/45.96 (v101(constB94)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14661, 14654])).
% 73.12/45.96 tff(14663,plain,
% 73.12/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14664,plain,
% 73.12/45.96 (((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94)) <=> ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14665,plain,
% 73.12/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94))))),
% 73.12/45.96 inference(monotonicity,[status(thm)],[14664])).
% 73.12/45.96 tff(14666,plain,
% 73.12/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 73.12/45.96 inference(transitivity,[status(thm)],[14665, 14663])).
% 73.12/45.96 tff(14667,plain,
% 73.12/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))),
% 73.12/45.96 inference(quant_inst,[status(thm)],[])).
% 73.12/45.96 tff(14668,plain,
% 73.12/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94))),
% 73.12/45.96 inference(modus_ponens,[status(thm)],[14667, 14666])).
% 73.12/45.96 tff(14669,plain,
% 73.12/45.96 (v100(constB94) | (~v101(constB94)) | (~v110(constB94))),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14668, 382, 14637])).
% 73.12/45.96 tff(14670,plain,
% 73.12/45.96 (v100(constB94) | (~v110(constB94))),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14669, 14662])).
% 73.12/45.96 tff(14671,plain,
% 73.12/45.96 (v100(constB94)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14670, 14645])).
% 73.12/45.96 tff(14672,plain,
% 73.12/45.96 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB91)) | v130(constB91, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB91)) | v130(constB91, bitIndex2))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14673,plain,
% 73.12/45.96 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB91)) | v130(constB91, bitIndex2))),
% 73.12/45.96 inference(quant_inst,[status(thm)],[])).
% 73.12/45.96 tff(14674,plain,
% 73.12/45.96 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB91)) | v130(constB91, bitIndex2)),
% 73.12/45.96 inference(modus_ponens,[status(thm)],[14673, 14672])).
% 73.12/45.96 tff(14675,plain,
% 73.12/45.96 (v130(constB91, bitIndex2)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14674, 1290, 14353])).
% 73.12/45.96 tff(14676,plain,
% 73.12/45.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14677,plain,
% 73.12/45.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2))),
% 73.12/45.96 inference(quant_inst,[status(thm)],[])).
% 73.12/45.96 tff(14678,plain,
% 73.12/45.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2)),
% 73.12/45.96 inference(modus_ponens,[status(thm)],[14677, 14676])).
% 73.12/45.96 tff(14679,plain,
% 73.12/45.96 ((~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14678, 1304, 14361])).
% 73.12/45.96 tff(14680,plain,
% 73.12/45.96 (v127(constB91, bitIndex2)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14679, 14675])).
% 73.12/45.96 tff(14681,plain,
% 73.12/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14682,plain,
% 73.12/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2))),
% 73.12/45.96 inference(quant_inst,[status(thm)],[])).
% 73.12/45.96 tff(14683,plain,
% 73.12/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2)),
% 73.12/45.96 inference(modus_ponens,[status(thm)],[14682, 14681])).
% 73.12/45.96 tff(14684,plain,
% 73.12/45.96 ((~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14683, 1319, 14372])).
% 73.12/45.96 tff(14685,plain,
% 73.12/45.96 (v129(constB92, bitIndex2)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14684, 14680])).
% 73.12/45.96 tff(14686,plain,
% 73.12/45.96 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14687,plain,
% 73.12/45.96 ((v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2))) <=> (v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14688,plain,
% 73.12/45.96 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92))))),
% 73.12/45.96 inference(monotonicity,[status(thm)],[14687])).
% 73.12/45.96 tff(14689,plain,
% 73.12/45.96 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))),
% 73.12/45.96 inference(transitivity,[status(thm)],[14688, 14686])).
% 73.12/45.96 tff(14690,plain,
% 73.12/45.96 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2)))),
% 73.12/45.96 inference(quant_inst,[status(thm)],[])).
% 73.12/45.96 tff(14691,plain,
% 73.12/45.96 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92))),
% 73.12/45.96 inference(modus_ponens,[status(thm)],[14690, 14689])).
% 73.12/45.96 tff(14692,plain,
% 73.12/45.96 (v90(constB92, bitIndex2)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14691, 1334, 14512, 14685])).
% 73.12/45.96 tff(14693,plain,
% 73.12/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14694,plain,
% 73.12/45.96 (((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2)) <=> ((~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14695,plain,
% 73.12/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2)))),
% 73.12/45.96 inference(monotonicity,[status(thm)],[14694])).
% 73.12/45.96 tff(14696,plain,
% 73.12/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))),
% 73.12/45.96 inference(transitivity,[status(thm)],[14695, 14693])).
% 73.12/45.96 tff(14697,plain,
% 73.12/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2))),
% 73.12/45.96 inference(quant_inst,[status(thm)],[])).
% 73.12/45.96 tff(14698,plain,
% 73.12/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2)),
% 73.12/45.96 inference(modus_ponens,[status(thm)],[14697, 14696])).
% 73.12/45.96 tff(14699,plain,
% 73.12/45.96 ((~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14698, 1370, 14525])).
% 73.12/45.96 tff(14700,plain,
% 73.12/45.96 ((~v90(constB92, bitIndex2)) | v90(constB93, bitIndex2)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14699, 14537])).
% 73.12/45.96 tff(14701,plain,
% 73.12/45.96 (v90(constB93, bitIndex2)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14700, 14692])).
% 73.12/45.96 tff(14702,plain,
% 73.12/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14703,plain,
% 73.12/45.96 (((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0))) <=> (v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14704,plain,
% 73.12/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0))))),
% 73.12/45.96 inference(monotonicity,[status(thm)],[14703])).
% 73.12/45.96 tff(14705,plain,
% 73.12/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 73.12/45.96 inference(transitivity,[status(thm)],[14704, 14702])).
% 73.12/45.96 tff(14706,plain,
% 73.12/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 73.12/45.96 inference(quant_inst,[status(thm)],[])).
% 73.12/45.96 tff(14707,plain,
% 73.12/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0))),
% 73.12/45.96 inference(modus_ponens,[status(thm)],[14706, 14705])).
% 73.12/45.96 tff(14708,plain,
% 73.12/45.96 (v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0))),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14707, 130, 14525])).
% 73.12/45.96 tff(14709,plain,
% 73.12/45.96 (v90(constB92, bitIndex0) | (~v90(constB93, bitIndex0))),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14708, 14537])).
% 73.12/45.96 tff(14710,plain,
% 73.12/45.96 (~v90(constB93, bitIndex0)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14709, 14504])).
% 73.12/45.96 tff(14711,plain,
% 73.12/45.96 (v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14582, 1477, 14710])).
% 73.12/45.96 tff(14712,plain,
% 73.12/45.96 (v123(constB93)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14711, 14546, 14701])).
% 73.12/45.96 tff(14713,plain,
% 73.12/45.96 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB93)) | v130(constB93, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB93)) | v130(constB93, bitIndex2))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14714,plain,
% 73.12/45.96 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB93)) | v130(constB93, bitIndex2))),
% 73.12/45.96 inference(quant_inst,[status(thm)],[])).
% 73.12/45.96 tff(14715,plain,
% 73.12/45.96 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB93)) | v130(constB93, bitIndex2)),
% 73.12/45.96 inference(modus_ponens,[status(thm)],[14714, 14713])).
% 73.12/45.96 tff(14716,plain,
% 73.12/45.96 (v130(constB93, bitIndex2)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14715, 1563, 14712])).
% 73.12/45.96 tff(14717,assumption,(v26(constB93)), introduced(assumption)).
% 73.12/45.96 tff(14718,plain,
% 73.12/45.96 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB93))),
% 73.12/45.96 inference(quant_inst,[status(thm)],[])).
% 73.12/45.96 tff(14719,plain,
% 73.12/45.96 ($false),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14718, 37, 14717])).
% 73.12/45.96 tff(14720,plain,(~v26(constB93)), inference(lemma,lemma(discharge,[]))).
% 73.12/45.96 tff(14721,plain,
% 73.12/45.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14722,plain,
% 73.12/45.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2))),
% 73.12/45.96 inference(quant_inst,[status(thm)],[])).
% 73.12/45.96 tff(14723,plain,
% 73.12/45.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2)),
% 73.12/45.96 inference(modus_ponens,[status(thm)],[14722, 14721])).
% 73.12/45.96 tff(14724,plain,
% 73.12/45.96 ((~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14723, 1304, 14720])).
% 73.12/45.96 tff(14725,plain,
% 73.12/45.96 (v127(constB93, bitIndex2)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14724, 14716])).
% 73.12/45.96 tff(14726,plain,
% 73.12/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14727,plain,
% 73.12/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2))),
% 73.12/45.96 inference(quant_inst,[status(thm)],[])).
% 73.12/45.96 tff(14728,plain,
% 73.12/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2)),
% 73.12/45.96 inference(modus_ponens,[status(thm)],[14727, 14726])).
% 73.12/45.96 tff(14729,plain,
% 73.12/45.96 ((~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14728, 1319, 14637])).
% 73.12/45.96 tff(14730,plain,
% 73.12/45.96 (v129(constB94, bitIndex2)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14729, 14725])).
% 73.12/45.96 tff(14731,plain,
% 73.12/45.96 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14732,plain,
% 73.12/45.96 ((v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2))) <=> (v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14733,plain,
% 73.12/45.96 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94))))),
% 73.12/45.96 inference(monotonicity,[status(thm)],[14732])).
% 73.12/45.96 tff(14734,plain,
% 73.12/45.96 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))),
% 73.12/45.96 inference(transitivity,[status(thm)],[14733, 14731])).
% 73.12/45.96 tff(14735,plain,
% 73.12/45.96 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2)))),
% 73.12/45.96 inference(quant_inst,[status(thm)],[])).
% 73.12/45.96 tff(14736,plain,
% 73.12/45.96 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94))),
% 73.12/45.96 inference(modus_ponens,[status(thm)],[14735, 14734])).
% 73.12/45.96 tff(14737,plain,
% 73.12/45.96 (v90(constB94, bitIndex2) | (~v100(constB94))),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14736, 1334, 14730])).
% 73.12/45.96 tff(14738,plain,
% 73.12/45.96 (v90(constB94, bitIndex2)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14737, 14671])).
% 73.12/45.96 tff(14739,plain,
% 73.12/45.96 ((~v1(constB95)) <=> (~v1(constB95))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14740,axiom,(~v1(constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_95_1_1')).
% 73.12/45.96 tff(14741,plain,
% 73.12/45.96 (~v1(constB95)),
% 73.12/45.96 inference(modus_ponens,[status(thm)],[14740, 14739])).
% 73.12/45.96 tff(14742,plain,
% 73.12/45.96 (nextState(constB94, constB95) <=> nextState(constB94, constB95)),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14743,axiom,(nextState(constB94, constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_94_1')).
% 73.12/45.96 tff(14744,plain,
% 73.12/45.96 (nextState(constB94, constB95)),
% 73.12/45.96 inference(modus_ponens,[status(thm)],[14743, 14742])).
% 73.12/45.96 tff(14745,plain,
% 73.12/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14746,plain,
% 73.12/45.96 (((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95)) <=> (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14747,plain,
% 73.12/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95))))),
% 73.12/45.96 inference(monotonicity,[status(thm)],[14746])).
% 73.12/45.96 tff(14748,plain,
% 73.12/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 73.12/45.96 inference(transitivity,[status(thm)],[14747, 14745])).
% 73.12/45.96 tff(14749,plain,
% 73.12/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))),
% 73.12/45.96 inference(quant_inst,[status(thm)],[])).
% 73.12/45.96 tff(14750,plain,
% 73.12/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95))),
% 73.12/45.96 inference(modus_ponens,[status(thm)],[14749, 14748])).
% 73.12/45.96 tff(14751,plain,
% 73.12/45.96 (~v101(constB95)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14750, 56, 14744, 14741])).
% 73.12/45.96 tff(14752,plain,
% 73.12/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14753,plain,
% 73.12/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))),
% 73.12/45.96 inference(quant_inst,[status(thm)],[])).
% 73.12/45.96 tff(14754,plain,
% 73.12/45.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95))),
% 73.12/45.96 inference(modus_ponens,[status(thm)],[14753, 14752])).
% 73.12/45.96 tff(14755,plain,
% 73.12/45.96 (v101(constB95) | (~v100(constB95))),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14754, 73, 14744])).
% 73.12/45.96 tff(14756,plain,
% 73.12/45.96 (~v100(constB95)),
% 73.12/45.96 inference(unit_resolution,[status(thm)],[14755, 14751])).
% 73.12/45.96 tff(14757,plain,
% 73.12/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14758,plain,
% 73.12/45.96 (((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2)) <=> ((~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))),
% 73.12/45.96 inference(rewrite,[status(thm)],[])).
% 73.12/45.96 tff(14759,plain,
% 73.12/45.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2)))),
% 73.12/45.97 inference(monotonicity,[status(thm)],[14758])).
% 73.12/45.97 tff(14760,plain,
% 73.12/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))),
% 73.12/45.97 inference(transitivity,[status(thm)],[14759, 14757])).
% 73.12/45.97 tff(14761,plain,
% 73.12/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2))),
% 73.12/45.97 inference(quant_inst,[status(thm)],[])).
% 73.12/45.97 tff(14762,plain,
% 73.12/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2)),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14761, 14760])).
% 73.12/45.97 tff(14763,plain,
% 73.12/45.97 ((~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14762, 1370, 14744])).
% 73.12/45.97 tff(14764,plain,
% 73.12/45.97 ((~v90(constB94, bitIndex2)) | v90(constB95, bitIndex2)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14763, 14756])).
% 73.12/45.97 tff(14765,plain,
% 73.12/45.97 (v90(constB95, bitIndex2)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14764, 14738])).
% 73.12/45.97 tff(14766,plain,
% 73.12/45.97 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB93)) | (~v130(constB93, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB93)) | (~v130(constB93, bitIndex1)))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14767,plain,
% 73.12/45.97 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB93)) | (~v130(constB93, bitIndex1)))),
% 73.12/45.97 inference(quant_inst,[status(thm)],[])).
% 73.12/45.97 tff(14768,plain,
% 73.12/45.97 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB93)) | (~v130(constB93, bitIndex1))),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14767, 14766])).
% 73.12/45.97 tff(14769,plain,
% 73.12/45.97 (~v130(constB93, bitIndex1)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14768, 1622, 14712])).
% 73.12/45.97 tff(14770,plain,
% 73.12/45.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14771,plain,
% 73.12/45.97 ((v26(constB93) | v130(constB93, bitIndex1) | (~v127(constB93, bitIndex1))) <=> ((~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14772,plain,
% 73.12/45.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB93) | v130(constB93, bitIndex1) | (~v127(constB93, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1)))),
% 73.12/45.97 inference(monotonicity,[status(thm)],[14771])).
% 73.12/45.97 tff(14773,plain,
% 73.12/45.97 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB93) | v130(constB93, bitIndex1) | (~v127(constB93, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1))),
% 73.12/45.97 inference(transitivity,[status(thm)],[14772, 14770])).
% 73.12/45.97 tff(14774,plain,
% 73.12/45.97 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB93) | v130(constB93, bitIndex1) | (~v127(constB93, bitIndex1)))),
% 73.12/45.97 inference(quant_inst,[status(thm)],[])).
% 73.12/45.97 tff(14775,plain,
% 73.12/45.97 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB93, bitIndex1)) | v26(constB93) | v130(constB93, bitIndex1)),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14774, 14773])).
% 73.12/45.97 tff(14776,plain,
% 73.12/45.97 ((~v127(constB93, bitIndex1)) | v130(constB93, bitIndex1)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14775, 555, 14720])).
% 73.12/45.97 tff(14777,plain,
% 73.12/45.97 (~v127(constB93, bitIndex1)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14776, 14769])).
% 73.12/45.97 tff(14778,plain,
% 73.12/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB93, constB94)) | v127(constB93, bitIndex1) | (~v129(constB94, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB93, constB94)) | v127(constB93, bitIndex1) | (~v129(constB94, bitIndex1)))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14779,plain,
% 73.12/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB93, constB94)) | v127(constB93, bitIndex1) | (~v129(constB94, bitIndex1)))),
% 73.12/45.97 inference(quant_inst,[status(thm)],[])).
% 73.12/45.97 tff(14780,plain,
% 73.12/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB93, constB94)) | v127(constB93, bitIndex1) | (~v129(constB94, bitIndex1))),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14779, 14778])).
% 73.12/45.97 tff(14781,plain,
% 73.12/45.97 (v127(constB93, bitIndex1) | (~v129(constB94, bitIndex1))),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14780, 588, 14637])).
% 73.12/45.97 tff(14782,plain,
% 73.12/45.97 (~v129(constB94, bitIndex1)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14781, 14777])).
% 73.12/45.97 tff(14783,plain,
% 73.12/45.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1) | (~v100(constB94)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1) | (~v100(constB94)))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14784,plain,
% 73.12/45.97 (((~v90(constB94, bitIndex1)) | (~v100(constB94)) | v129(constB94, bitIndex1)) <=> ((~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1) | (~v100(constB94)))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14785,plain,
% 73.12/45.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | (~v100(constB94)) | v129(constB94, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1) | (~v100(constB94))))),
% 73.12/45.97 inference(monotonicity,[status(thm)],[14784])).
% 73.12/45.97 tff(14786,plain,
% 73.12/45.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | (~v100(constB94)) | v129(constB94, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1) | (~v100(constB94)))),
% 73.12/45.97 inference(transitivity,[status(thm)],[14785, 14783])).
% 73.12/45.97 tff(14787,plain,
% 73.12/45.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB94, bitIndex1)) | (~v100(constB94)) | v129(constB94, bitIndex1))),
% 73.12/45.97 inference(quant_inst,[status(thm)],[])).
% 73.12/45.97 tff(14788,plain,
% 73.12/45.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1) | (~v100(constB94))),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14787, 14786])).
% 73.12/45.97 tff(14789,plain,
% 73.12/45.97 ((~v90(constB94, bitIndex1)) | (~v100(constB94))),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14788, 603, 14782])).
% 73.12/45.97 tff(14790,plain,
% 73.12/45.97 (~v90(constB94, bitIndex1)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14789, 14671])).
% 73.12/45.97 tff(14791,plain,
% 73.12/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex1)))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14792,plain,
% 73.12/45.97 (((~nextState(constB94, constB95)) | v90(constB94, bitIndex1) | v100(constB95) | (~v90(constB95, bitIndex1))) <=> (v90(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex1)))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14793,plain,
% 73.12/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB94, constB95)) | v90(constB94, bitIndex1) | v100(constB95) | (~v90(constB95, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex1))))),
% 73.12/45.97 inference(monotonicity,[status(thm)],[14792])).
% 73.12/45.97 tff(14794,plain,
% 73.12/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB94, constB95)) | v90(constB94, bitIndex1) | v100(constB95) | (~v90(constB95, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex1)))),
% 73.12/45.97 inference(transitivity,[status(thm)],[14793, 14791])).
% 73.12/45.97 tff(14795,plain,
% 73.12/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB94, constB95)) | v90(constB94, bitIndex1) | v100(constB95) | (~v90(constB95, bitIndex1)))),
% 73.12/45.97 inference(quant_inst,[status(thm)],[])).
% 73.12/45.97 tff(14796,plain,
% 73.12/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex1))),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14795, 14794])).
% 73.12/45.97 tff(14797,plain,
% 73.12/45.97 (v90(constB94, bitIndex1) | v100(constB95) | (~v90(constB95, bitIndex1))),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14796, 109, 14744])).
% 73.12/45.97 tff(14798,plain,
% 73.12/45.97 (v90(constB94, bitIndex1) | (~v90(constB95, bitIndex1))),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14797, 14756])).
% 73.12/45.97 tff(14799,plain,
% 73.12/45.97 (~v90(constB95, bitIndex1)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14798, 14790])).
% 73.12/45.97 tff(14800,plain,
% 73.12/45.97 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB93)) | v130(constB93, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB93)) | v130(constB93, bitIndex0))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14801,plain,
% 73.12/45.97 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB93)) | v130(constB93, bitIndex0))),
% 73.12/45.97 inference(quant_inst,[status(thm)],[])).
% 73.12/45.97 tff(14802,plain,
% 73.12/45.97 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB93)) | v130(constB93, bitIndex0)),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14801, 14800])).
% 73.12/45.97 tff(14803,plain,
% 73.12/45.97 (v130(constB93, bitIndex0)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14802, 1666, 14712])).
% 73.12/45.97 tff(14804,plain,
% 73.12/45.97 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB93) | (~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB93) | (~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14805,plain,
% 73.12/45.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB93) | (~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0))),
% 73.12/45.97 inference(quant_inst,[status(thm)],[])).
% 73.12/45.97 tff(14806,plain,
% 73.12/45.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB93) | (~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0)),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14805, 14804])).
% 73.12/45.97 tff(14807,plain,
% 73.12/45.97 ((~v130(constB93, bitIndex0)) | v127(constB93, bitIndex0)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14806, 179, 14720])).
% 73.12/45.97 tff(14808,plain,
% 73.12/45.97 (v127(constB93, bitIndex0)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14807, 14803])).
% 73.12/45.97 tff(14809,plain,
% 73.12/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14810,plain,
% 73.12/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0))),
% 73.12/45.97 inference(quant_inst,[status(thm)],[])).
% 73.12/45.97 tff(14811,plain,
% 73.12/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0)),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14810, 14809])).
% 73.12/45.97 tff(14812,plain,
% 73.12/45.97 ((~v127(constB93, bitIndex0)) | v129(constB94, bitIndex0)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14811, 197, 14637])).
% 73.12/45.97 tff(14813,plain,
% 73.12/45.97 (v129(constB94, bitIndex0)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14812, 14808])).
% 73.12/45.97 tff(14814,plain,
% 73.12/45.97 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94)))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14815,plain,
% 73.12/45.97 ((v90(constB94, bitIndex0) | (~v100(constB94)) | (~v129(constB94, bitIndex0))) <=> (v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94)))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14816,plain,
% 73.12/45.97 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~v100(constB94)) | (~v129(constB94, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94))))),
% 73.12/45.97 inference(monotonicity,[status(thm)],[14815])).
% 73.12/45.97 tff(14817,plain,
% 73.12/45.97 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~v100(constB94)) | (~v129(constB94, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94)))),
% 73.12/45.97 inference(transitivity,[status(thm)],[14816, 14814])).
% 73.12/45.97 tff(14818,plain,
% 73.12/45.97 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB94, bitIndex0) | (~v100(constB94)) | (~v129(constB94, bitIndex0)))),
% 73.12/45.97 inference(quant_inst,[status(thm)],[])).
% 73.12/45.97 tff(14819,plain,
% 73.12/45.97 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0)) | (~v100(constB94))),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14818, 14817])).
% 73.12/45.97 tff(14820,plain,
% 73.12/45.97 (v90(constB94, bitIndex0) | (~v100(constB94))),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14819, 401, 14813])).
% 73.12/45.97 tff(14821,plain,
% 73.12/45.97 (v90(constB94, bitIndex0)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14820, 14671])).
% 73.12/45.97 tff(14822,plain,
% 73.12/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14823,plain,
% 73.12/45.97 (((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0)) <=> ((~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14824,plain,
% 73.12/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0)))),
% 73.12/45.97 inference(monotonicity,[status(thm)],[14823])).
% 73.12/45.97 tff(14825,plain,
% 73.12/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0))),
% 73.12/45.97 inference(transitivity,[status(thm)],[14824, 14822])).
% 73.12/45.97 tff(14826,plain,
% 73.12/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0))),
% 73.12/45.97 inference(quant_inst,[status(thm)],[])).
% 73.12/45.97 tff(14827,plain,
% 73.12/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex0)),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14826, 14825])).
% 73.12/45.97 tff(14828,plain,
% 73.12/45.97 ((~v90(constB94, bitIndex0)) | v100(constB95) | v90(constB95, bitIndex0)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14827, 437, 14744])).
% 73.12/45.97 tff(14829,plain,
% 73.12/45.97 ((~v90(constB94, bitIndex0)) | v90(constB95, bitIndex0)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14828, 14756])).
% 73.12/45.97 tff(14830,plain,
% 73.12/45.97 (v90(constB95, bitIndex0)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14829, 14821])).
% 73.12/45.97 tff(14831,plain,
% 73.12/45.97 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB95, bitIndex0)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v124(constB95))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB95, bitIndex0)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v124(constB95))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14832,plain,
% 73.12/45.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB95, bitIndex0)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v124(constB95))),
% 73.12/45.97 inference(quant_inst,[status(thm)],[])).
% 73.12/45.97 tff(14833,plain,
% 73.12/45.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB95, bitIndex0)) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | v124(constB95)),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14832, 14831])).
% 73.12/45.97 tff(14834,plain,
% 73.12/45.97 (v124(constB95)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14833, 1707, 14830, 14799, 14765])).
% 73.12/45.97 tff(14835,plain,
% 73.12/45.97 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB95) | (~v124(constB95)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB95) | (~v124(constB95)))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14836,plain,
% 73.12/45.97 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB95) | (~v124(constB95)))),
% 73.12/45.97 inference(quant_inst,[status(thm)],[])).
% 73.12/45.97 tff(14837,plain,
% 73.12/45.97 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB95) | (~v124(constB95))),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14836, 14835])).
% 73.12/45.97 tff(14838,plain,
% 73.12/45.97 (v114(constB95)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14837, 1718, 14834])).
% 73.12/45.97 tff(14839,plain,
% 73.12/45.97 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB95) | (~v114(constB95)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB95) | (~v114(constB95)))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14840,plain,
% 73.12/45.97 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB95) | (~v114(constB95)))),
% 73.12/45.97 inference(quant_inst,[status(thm)],[])).
% 73.12/45.97 tff(14841,plain,
% 73.12/45.97 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB95) | (~v114(constB95))),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14840, 14839])).
% 73.12/45.97 tff(14842,plain,
% 73.12/45.97 (v113(constB95)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14841, 287, 14838])).
% 73.12/45.97 tff(14843,assumption,(~v108(constB95)), introduced(assumption)).
% 73.12/45.97 tff(14844,plain,
% 73.12/45.97 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB95) | (~v112(constB95)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB95) | (~v112(constB95)))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14845,plain,
% 73.12/45.97 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB95) | (~v112(constB95)))),
% 73.12/45.97 inference(quant_inst,[status(thm)],[])).
% 73.12/45.97 tff(14846,plain,
% 73.12/45.97 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB95) | (~v112(constB95))),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14845, 14844])).
% 73.12/45.97 tff(14847,plain,
% 73.12/45.97 (~v112(constB95)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14846, 210, 14843])).
% 73.12/45.97 tff(14848,plain,
% 73.12/45.97 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB95) | (~v26(constB95)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB95) | (~v26(constB95)))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14849,plain,
% 73.12/45.97 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB95) | (~v26(constB95)))),
% 73.12/45.97 inference(quant_inst,[status(thm)],[])).
% 73.12/45.97 tff(14850,plain,
% 73.12/45.97 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB95) | (~v26(constB95))),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14849, 14848])).
% 73.12/45.97 tff(14851,plain,
% 73.12/45.97 (~v26(constB95)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14850, 221, 14843])).
% 73.12/45.97 tff(14852,assumption,(v113(constB95)), introduced(assumption)).
% 73.12/45.97 tff(14853,plain,
% 73.12/45.97 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | v112(constB95) | (~v113(constB95)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | v112(constB95) | (~v113(constB95)))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14854,plain,
% 73.12/45.97 ((v26(constB95) | (~v113(constB95)) | v112(constB95)) <=> (v26(constB95) | v112(constB95) | (~v113(constB95)))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14855,plain,
% 73.12/45.97 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | v112(constB95) | (~v113(constB95))))),
% 73.12/45.97 inference(monotonicity,[status(thm)],[14854])).
% 73.12/45.97 tff(14856,plain,
% 73.12/45.97 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | v112(constB95) | (~v113(constB95)))),
% 73.12/45.97 inference(transitivity,[status(thm)],[14855, 14853])).
% 73.12/45.97 tff(14857,plain,
% 73.12/45.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))),
% 73.12/45.97 inference(quant_inst,[status(thm)],[])).
% 73.12/45.97 tff(14858,plain,
% 73.12/45.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | v112(constB95) | (~v113(constB95))),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14857, 14856])).
% 73.12/45.97 tff(14859,plain,
% 73.12/45.97 (v26(constB95) | v112(constB95)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14858, 301, 14852])).
% 73.12/45.97 tff(14860,plain,
% 73.12/45.97 ($false),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14859, 14851, 14847])).
% 73.12/45.97 tff(14861,plain,(v108(constB95) | (~v113(constB95))), inference(lemma,lemma(discharge,[]))).
% 73.12/45.97 tff(14862,plain,
% 73.12/45.97 (v108(constB95)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14861, 14842])).
% 73.12/45.97 tff(14863,plain,
% 73.12/45.97 (nextState(constB95, constB96) <=> nextState(constB95, constB96)),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14864,axiom,(nextState(constB95, constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_95_1')).
% 73.12/45.97 tff(14865,plain,
% 73.12/45.97 (nextState(constB95, constB96)),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14864, 14863])).
% 73.12/45.97 tff(14866,plain,
% 73.12/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14867,plain,
% 73.12/45.97 (((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96)) <=> ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14868,plain,
% 73.12/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95))))),
% 73.12/45.97 inference(monotonicity,[status(thm)],[14867])).
% 73.12/45.97 tff(14869,plain,
% 73.12/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 73.12/45.97 inference(transitivity,[status(thm)],[14868, 14866])).
% 73.12/45.97 tff(14870,plain,
% 73.12/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))),
% 73.12/45.97 inference(quant_inst,[status(thm)],[])).
% 73.12/45.97 tff(14871,plain,
% 73.12/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95))),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14870, 14869])).
% 73.12/45.97 tff(14872,plain,
% 73.12/45.97 (v110(constB96) | (~v108(constB95))),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14871, 317, 14865])).
% 73.12/45.97 tff(14873,plain,
% 73.12/45.97 (v110(constB96)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14872, 14862])).
% 73.12/45.97 tff(14874,plain,
% 73.12/45.97 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14875,plain,
% 73.12/45.97 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))),
% 73.12/45.97 inference(quant_inst,[status(thm)],[])).
% 73.12/45.97 tff(14876,plain,
% 73.12/45.97 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96))),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14875, 14874])).
% 73.12/45.97 tff(14877,plain,
% 73.12/45.97 (~v104(constB96)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14876, 335, 14865, 14741])).
% 73.12/45.97 tff(14878,plain,
% 73.12/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14879,plain,
% 73.12/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))),
% 73.12/45.97 inference(quant_inst,[status(thm)],[])).
% 73.12/45.97 tff(14880,plain,
% 73.12/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v102(constB96) | v104(constB96)),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14879, 14878])).
% 73.12/45.97 tff(14881,plain,
% 73.12/45.97 (v102(constB96) | v104(constB96)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14880, 349, 14865])).
% 73.12/45.97 tff(14882,plain,
% 73.12/45.97 (v102(constB96)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14881, 14877])).
% 73.12/45.97 tff(14883,plain,
% 73.12/45.97 (v1(constB96) <=> v1(constB96)),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14884,axiom,(v1(constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_96_1')).
% 73.12/45.97 tff(14885,plain,
% 73.12/45.97 (v1(constB96)),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14884, 14883])).
% 73.12/45.97 tff(14886,plain,
% 73.12/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14887,plain,
% 73.12/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))),
% 73.12/45.97 inference(quant_inst,[status(thm)],[])).
% 73.12/45.97 tff(14888,plain,
% 73.12/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96))),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14887, 14886])).
% 73.12/45.97 tff(14889,plain,
% 73.12/45.97 (v101(constB96) | (~v102(constB96))),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14888, 367, 14865, 14885])).
% 73.12/45.97 tff(14890,plain,
% 73.12/45.97 (v101(constB96)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14889, 14882])).
% 73.12/45.97 tff(14891,plain,
% 73.12/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14892,plain,
% 73.12/45.97 (((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96)) <=> ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14893,plain,
% 73.12/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96))))),
% 73.12/45.97 inference(monotonicity,[status(thm)],[14892])).
% 73.12/45.97 tff(14894,plain,
% 73.12/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 73.12/45.97 inference(transitivity,[status(thm)],[14893, 14891])).
% 73.12/45.97 tff(14895,plain,
% 73.12/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))),
% 73.12/45.97 inference(quant_inst,[status(thm)],[])).
% 73.12/45.97 tff(14896,plain,
% 73.12/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96))),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14895, 14894])).
% 73.12/45.97 tff(14897,plain,
% 73.12/45.97 (v100(constB96) | (~v101(constB96)) | (~v110(constB96))),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14896, 382, 14865])).
% 73.12/45.97 tff(14898,plain,
% 73.12/45.97 (v100(constB96) | (~v110(constB96))),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14897, 14890])).
% 73.12/45.97 tff(14899,plain,
% 73.12/45.97 (v100(constB96)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14898, 14873])).
% 73.12/45.97 tff(14900,plain,
% 73.12/45.97 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB95)) | v130(constB95, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB95)) | v130(constB95, bitIndex2))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14901,plain,
% 73.12/45.97 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB95)) | v130(constB95, bitIndex2))),
% 73.12/45.97 inference(quant_inst,[status(thm)],[])).
% 73.12/45.97 tff(14902,plain,
% 73.12/45.97 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB95)) | v130(constB95, bitIndex2)),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14901, 14900])).
% 73.12/45.97 tff(14903,plain,
% 73.12/45.97 (v130(constB95, bitIndex2)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14902, 1786, 14834])).
% 73.12/45.97 tff(14904,assumption,(v26(constB95)), introduced(assumption)).
% 73.12/45.97 tff(14905,plain,
% 73.12/45.97 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB95))),
% 73.12/45.97 inference(quant_inst,[status(thm)],[])).
% 73.12/45.97 tff(14906,plain,
% 73.12/45.97 ($false),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14905, 37, 14904])).
% 73.12/45.97 tff(14907,plain,(~v26(constB95)), inference(lemma,lemma(discharge,[]))).
% 73.12/45.97 tff(14908,plain,
% 73.12/45.97 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB95) | (~v130(constB95, bitIndex2)) | v127(constB95, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB95) | (~v130(constB95, bitIndex2)) | v127(constB95, bitIndex2))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14909,plain,
% 73.12/45.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB95) | (~v130(constB95, bitIndex2)) | v127(constB95, bitIndex2))),
% 73.12/45.97 inference(quant_inst,[status(thm)],[])).
% 73.12/45.97 tff(14910,plain,
% 73.12/45.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB95) | (~v130(constB95, bitIndex2)) | v127(constB95, bitIndex2)),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14909, 14908])).
% 73.12/45.97 tff(14911,plain,
% 73.12/45.97 ((~v130(constB95, bitIndex2)) | v127(constB95, bitIndex2)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14910, 1304, 14907])).
% 73.12/45.97 tff(14912,plain,
% 73.12/45.97 (v127(constB95, bitIndex2)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14911, 14903])).
% 73.12/45.97 tff(14913,plain,
% 73.12/45.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex2)) | v129(constB96, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex2)) | v129(constB96, bitIndex2))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14914,plain,
% 73.12/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex2)) | v129(constB96, bitIndex2))),
% 73.12/45.97 inference(quant_inst,[status(thm)],[])).
% 73.12/45.97 tff(14915,plain,
% 73.12/45.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex2)) | v129(constB96, bitIndex2)),
% 73.12/45.97 inference(modus_ponens,[status(thm)],[14914, 14913])).
% 73.12/45.97 tff(14916,plain,
% 73.12/45.97 ((~v127(constB95, bitIndex2)) | v129(constB96, bitIndex2)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14915, 1319, 14865])).
% 73.12/45.97 tff(14917,plain,
% 73.12/45.97 (v129(constB96, bitIndex2)),
% 73.12/45.97 inference(unit_resolution,[status(thm)],[14916, 14912])).
% 73.12/45.97 tff(14918,plain,
% 73.12/45.97 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2)) | (~v100(constB96)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2)) | (~v100(constB96)))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14919,plain,
% 73.12/45.97 ((v90(constB96, bitIndex2) | (~v100(constB96)) | (~v129(constB96, bitIndex2))) <=> (v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2)) | (~v100(constB96)))),
% 73.12/45.97 inference(rewrite,[status(thm)],[])).
% 73.12/45.97 tff(14920,plain,
% 73.12/45.97 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~v100(constB96)) | (~v129(constB96, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2)) | (~v100(constB96))))),
% 73.12/45.97 inference(monotonicity,[status(thm)],[14919])).
% 73.12/45.97 tff(14921,plain,
% 73.12/45.97 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~v100(constB96)) | (~v129(constB96, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2)) | (~v100(constB96)))),
% 73.12/45.98 inference(transitivity,[status(thm)],[14920, 14918])).
% 73.12/45.98 tff(14922,plain,
% 73.12/45.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB96, bitIndex2) | (~v100(constB96)) | (~v129(constB96, bitIndex2)))),
% 73.12/45.98 inference(quant_inst,[status(thm)],[])).
% 73.12/45.98 tff(14923,plain,
% 73.12/45.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2)) | (~v100(constB96))),
% 73.12/45.98 inference(modus_ponens,[status(thm)],[14922, 14921])).
% 73.12/45.98 tff(14924,plain,
% 73.12/45.98 (v90(constB96, bitIndex2) | (~v100(constB96))),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[14923, 1334, 14917])).
% 73.12/45.98 tff(14925,plain,
% 73.12/45.98 (v90(constB96, bitIndex2)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[14924, 14899])).
% 73.12/45.98 tff(14926,plain,
% 73.12/45.98 ((~v1(constB97)) <=> (~v1(constB97))),
% 73.12/45.98 inference(rewrite,[status(thm)],[])).
% 73.12/45.98 tff(14927,axiom,(~v1(constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_97_1_1')).
% 73.12/45.98 tff(14928,plain,
% 73.12/45.98 (~v1(constB97)),
% 73.12/45.98 inference(modus_ponens,[status(thm)],[14927, 14926])).
% 73.12/45.98 tff(14929,plain,
% 73.12/45.98 (nextState(constB96, constB97) <=> nextState(constB96, constB97)),
% 73.12/45.98 inference(rewrite,[status(thm)],[])).
% 73.12/45.98 tff(14930,axiom,(nextState(constB96, constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_96_1')).
% 73.12/45.98 tff(14931,plain,
% 73.12/45.98 (nextState(constB96, constB97)),
% 73.12/45.98 inference(modus_ponens,[status(thm)],[14930, 14929])).
% 73.12/45.98 tff(14932,plain,
% 73.12/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 73.12/45.98 inference(rewrite,[status(thm)],[])).
% 73.12/45.98 tff(14933,plain,
% 73.12/45.98 (((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97)) <=> (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 73.12/45.98 inference(rewrite,[status(thm)],[])).
% 73.12/45.98 tff(14934,plain,
% 73.12/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97))))),
% 73.12/45.98 inference(monotonicity,[status(thm)],[14933])).
% 73.12/45.98 tff(14935,plain,
% 73.12/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 73.12/45.98 inference(transitivity,[status(thm)],[14934, 14932])).
% 73.12/45.98 tff(14936,plain,
% 73.12/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))),
% 73.12/45.98 inference(quant_inst,[status(thm)],[])).
% 73.12/45.98 tff(14937,plain,
% 73.12/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97))),
% 73.12/45.98 inference(modus_ponens,[status(thm)],[14936, 14935])).
% 73.12/45.98 tff(14938,plain,
% 73.12/45.98 (~v101(constB97)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[14937, 56, 14931, 14928])).
% 73.12/45.98 tff(14939,plain,
% 73.12/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))),
% 73.12/45.98 inference(rewrite,[status(thm)],[])).
% 73.12/45.98 tff(14940,plain,
% 73.12/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))),
% 73.12/45.98 inference(quant_inst,[status(thm)],[])).
% 73.12/45.98 tff(14941,plain,
% 73.12/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97))),
% 73.12/45.98 inference(modus_ponens,[status(thm)],[14940, 14939])).
% 73.12/45.98 tff(14942,plain,
% 73.12/45.98 (v101(constB97) | (~v100(constB97))),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[14941, 73, 14931])).
% 73.12/45.98 tff(14943,plain,
% 73.12/45.98 (~v100(constB97)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[14942, 14938])).
% 73.12/45.98 tff(14944,plain,
% 73.12/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex2))),
% 73.12/45.98 inference(rewrite,[status(thm)],[])).
% 73.12/45.98 tff(14945,plain,
% 73.12/45.98 (((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex2)) | v100(constB97) | v90(constB97, bitIndex2)) <=> ((~v90(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex2))),
% 73.12/45.98 inference(rewrite,[status(thm)],[])).
% 73.12/45.98 tff(14946,plain,
% 73.12/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex2)) | v100(constB97) | v90(constB97, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex2)))),
% 73.12/45.98 inference(monotonicity,[status(thm)],[14945])).
% 73.12/45.98 tff(14947,plain,
% 73.12/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex2)) | v100(constB97) | v90(constB97, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex2))),
% 73.12/45.98 inference(transitivity,[status(thm)],[14946, 14944])).
% 73.12/45.98 tff(14948,plain,
% 73.12/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex2)) | v100(constB97) | v90(constB97, bitIndex2))),
% 73.12/45.98 inference(quant_inst,[status(thm)],[])).
% 73.12/45.98 tff(14949,plain,
% 73.12/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex2)),
% 73.12/45.98 inference(modus_ponens,[status(thm)],[14948, 14947])).
% 73.12/45.98 tff(14950,plain,
% 73.12/45.98 ((~v90(constB96, bitIndex2)) | v100(constB97) | v90(constB97, bitIndex2)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[14949, 1370, 14931])).
% 73.12/45.98 tff(14951,plain,
% 73.12/45.98 ((~v90(constB96, bitIndex2)) | v90(constB97, bitIndex2)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[14950, 14943])).
% 73.12/45.98 tff(14952,plain,
% 73.12/45.98 (v90(constB97, bitIndex2)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[14951, 14925])).
% 73.12/45.98 tff(14953,plain,
% 73.12/45.98 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB97, bitIndex2)) | (~v122(constB97)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB97, bitIndex2)) | (~v122(constB97)))),
% 73.12/45.98 inference(rewrite,[status(thm)],[])).
% 73.12/45.98 tff(14954,plain,
% 73.12/45.98 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB97, bitIndex2)) | (~v122(constB97)))),
% 73.12/45.98 inference(quant_inst,[status(thm)],[])).
% 73.12/45.98 tff(14955,plain,
% 73.12/45.98 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB97, bitIndex2)) | (~v122(constB97))),
% 73.12/45.98 inference(modus_ponens,[status(thm)],[14954, 14953])).
% 73.12/45.98 tff(14956,plain,
% 73.12/45.98 (~v122(constB97)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[14955, 1853, 14952])).
% 73.12/45.98 tff(14957,plain,
% 73.12/45.98 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB97, bitIndex2)) | (~v121(constB97)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB97, bitIndex2)) | (~v121(constB97)))),
% 73.12/45.98 inference(rewrite,[status(thm)],[])).
% 73.12/45.98 tff(14958,plain,
% 73.12/45.98 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB97, bitIndex2)) | (~v121(constB97)))),
% 73.12/45.98 inference(quant_inst,[status(thm)],[])).
% 73.12/45.98 tff(14959,plain,
% 73.12/45.98 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB97, bitIndex2)) | (~v121(constB97))),
% 73.12/45.98 inference(modus_ponens,[status(thm)],[14958, 14957])).
% 73.12/45.98 tff(14960,plain,
% 73.12/45.98 (~v121(constB97)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[14959, 1842, 14952])).
% 73.12/45.98 tff(14961,assumption,(v124(constB95)), introduced(assumption)).
% 73.12/45.98 tff(14962,plain,
% 73.12/45.98 (v130(constB95, bitIndex2)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[14902, 1786, 14961])).
% 73.12/45.98 tff(14963,plain,
% 73.12/45.98 (v127(constB95, bitIndex2)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[14911, 14962])).
% 73.12/45.98 tff(14964,plain,
% 73.12/45.98 (v129(constB96, bitIndex2)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[14916, 14963])).
% 73.12/45.98 tff(14965,assumption,(v100(constB96)), introduced(assumption)).
% 73.12/45.98 tff(14966,plain,
% 73.12/45.98 (v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2))),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[14923, 1334, 14965])).
% 73.12/45.98 tff(14967,plain,
% 73.12/45.98 (v90(constB96, bitIndex2)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[14966, 14964])).
% 73.12/45.98 tff(14968,plain,
% 73.12/45.98 (v90(constB97, bitIndex2)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[14951, 14967])).
% 73.12/45.98 tff(14969,plain,
% 73.12/45.98 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB95)) | v130(constB95, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB95)) | v130(constB95, bitIndex1))),
% 73.12/45.98 inference(rewrite,[status(thm)],[])).
% 73.12/45.98 tff(14970,plain,
% 73.12/45.98 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB95)) | v130(constB95, bitIndex1))),
% 73.12/45.98 inference(quant_inst,[status(thm)],[])).
% 73.12/45.98 tff(14971,plain,
% 73.12/45.98 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB95)) | v130(constB95, bitIndex1)),
% 73.12/45.98 inference(modus_ponens,[status(thm)],[14970, 14969])).
% 73.12/45.98 tff(14972,plain,
% 73.12/45.98 (v130(constB95, bitIndex1)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[14971, 1867, 14961])).
% 73.12/45.98 tff(14973,plain,
% 73.12/45.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB95) | (~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB95) | (~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1))),
% 73.12/45.98 inference(rewrite,[status(thm)],[])).
% 73.12/45.98 tff(14974,plain,
% 73.12/45.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB95) | (~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1))),
% 73.12/45.98 inference(quant_inst,[status(thm)],[])).
% 73.12/45.98 tff(14975,plain,
% 73.12/45.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB95) | (~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1)),
% 73.12/45.98 inference(modus_ponens,[status(thm)],[14974, 14973])).
% 73.12/45.98 tff(14976,plain,
% 73.12/45.98 ((~v130(constB95, bitIndex1)) | v127(constB95, bitIndex1)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[14975, 824, 14907])).
% 73.12/45.98 tff(14977,plain,
% 73.12/45.98 (v127(constB95, bitIndex1)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[14976, 14972])).
% 73.12/45.98 tff(14978,plain,
% 73.12/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1))),
% 73.12/45.98 inference(rewrite,[status(thm)],[])).
% 73.12/45.98 tff(14979,plain,
% 73.12/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1))),
% 73.12/45.98 inference(quant_inst,[status(thm)],[])).
% 73.12/45.98 tff(14980,plain,
% 73.12/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1)),
% 73.12/45.98 inference(modus_ponens,[status(thm)],[14979, 14978])).
% 73.12/45.98 tff(14981,plain,
% 73.12/45.98 ((~v127(constB95, bitIndex1)) | v129(constB96, bitIndex1)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[14980, 839, 14865])).
% 73.12/45.98 tff(14982,plain,
% 73.12/45.98 (v129(constB96, bitIndex1)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[14981, 14977])).
% 73.12/45.98 tff(14983,plain,
% 73.12/45.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96)))),
% 73.12/45.98 inference(rewrite,[status(thm)],[])).
% 73.12/45.98 tff(14984,plain,
% 73.12/45.98 ((v90(constB96, bitIndex1) | (~v100(constB96)) | (~v129(constB96, bitIndex1))) <=> (v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96)))),
% 73.12/45.98 inference(rewrite,[status(thm)],[])).
% 73.12/45.98 tff(14985,plain,
% 73.12/45.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~v100(constB96)) | (~v129(constB96, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96))))),
% 73.12/45.98 inference(monotonicity,[status(thm)],[14984])).
% 73.12/45.98 tff(14986,plain,
% 73.12/45.98 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~v100(constB96)) | (~v129(constB96, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96)))),
% 73.12/45.98 inference(transitivity,[status(thm)],[14985, 14983])).
% 73.12/45.98 tff(14987,plain,
% 73.12/45.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB96, bitIndex1) | (~v100(constB96)) | (~v129(constB96, bitIndex1)))),
% 73.12/45.98 inference(quant_inst,[status(thm)],[])).
% 73.12/45.98 tff(14988,plain,
% 73.12/45.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1)) | (~v100(constB96))),
% 73.12/45.98 inference(modus_ponens,[status(thm)],[14987, 14986])).
% 73.12/45.98 tff(14989,plain,
% 73.12/45.98 (v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1))),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[14988, 854, 14965])).
% 73.12/45.98 tff(14990,plain,
% 73.12/45.98 (v90(constB96, bitIndex1)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[14989, 14982])).
% 73.12/45.98 tff(14991,plain,
% 73.12/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex1))),
% 73.12/45.98 inference(rewrite,[status(thm)],[])).
% 73.12/45.98 tff(14992,plain,
% 73.12/45.98 (((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex1)) | v100(constB97) | v90(constB97, bitIndex1)) <=> ((~v90(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex1))),
% 73.12/45.98 inference(rewrite,[status(thm)],[])).
% 73.12/45.98 tff(14993,plain,
% 73.12/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex1)) | v100(constB97) | v90(constB97, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex1)))),
% 73.12/45.98 inference(monotonicity,[status(thm)],[14992])).
% 73.12/45.98 tff(14994,plain,
% 73.12/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex1)) | v100(constB97) | v90(constB97, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex1))),
% 73.12/45.98 inference(transitivity,[status(thm)],[14993, 14991])).
% 73.12/45.98 tff(14995,plain,
% 73.12/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex1)) | v100(constB97) | v90(constB97, bitIndex1))),
% 73.12/45.98 inference(quant_inst,[status(thm)],[])).
% 73.12/45.98 tff(14996,plain,
% 73.12/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex1)),
% 73.12/45.98 inference(modus_ponens,[status(thm)],[14995, 14994])).
% 73.12/45.98 tff(14997,plain,
% 73.12/45.98 ((~v90(constB96, bitIndex1)) | v100(constB97) | v90(constB97, bitIndex1)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[14996, 872, 14931])).
% 73.12/45.98 tff(14998,plain,
% 73.12/45.98 ((~v90(constB96, bitIndex1)) | v90(constB97, bitIndex1)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[14997, 14943])).
% 73.12/45.98 tff(14999,plain,
% 73.12/45.98 (v90(constB97, bitIndex1)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[14998, 14990])).
% 73.12/45.98 tff(15000,plain,
% 73.12/45.98 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB95)) | (~v130(constB95, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB95)) | (~v130(constB95, bitIndex0)))),
% 73.12/45.98 inference(rewrite,[status(thm)],[])).
% 73.12/45.98 tff(15001,plain,
% 73.12/45.98 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB95)) | (~v130(constB95, bitIndex0)))),
% 73.12/45.98 inference(quant_inst,[status(thm)],[])).
% 73.12/45.98 tff(15002,plain,
% 73.12/45.98 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB95)) | (~v130(constB95, bitIndex0))),
% 73.12/45.98 inference(modus_ponens,[status(thm)],[15001, 15000])).
% 73.12/45.98 tff(15003,plain,
% 73.12/45.98 (~v130(constB95, bitIndex0)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[15002, 1992, 14961])).
% 73.12/45.98 tff(15004,plain,
% 73.12/45.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0))),
% 73.12/45.98 inference(rewrite,[status(thm)],[])).
% 73.12/45.98 tff(15005,plain,
% 73.12/45.98 ((v26(constB95) | v130(constB95, bitIndex0) | (~v127(constB95, bitIndex0))) <=> ((~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0))),
% 73.12/45.98 inference(rewrite,[status(thm)],[])).
% 73.12/45.98 tff(15006,plain,
% 73.12/45.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB95) | v130(constB95, bitIndex0) | (~v127(constB95, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0)))),
% 73.12/45.98 inference(monotonicity,[status(thm)],[15005])).
% 73.12/45.98 tff(15007,plain,
% 73.12/45.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB95) | v130(constB95, bitIndex0) | (~v127(constB95, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0))),
% 73.12/45.98 inference(transitivity,[status(thm)],[15006, 15004])).
% 73.12/45.98 tff(15008,plain,
% 73.12/45.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB95) | v130(constB95, bitIndex0) | (~v127(constB95, bitIndex0)))),
% 73.12/45.98 inference(quant_inst,[status(thm)],[])).
% 73.12/45.98 tff(15009,plain,
% 73.12/45.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB95, bitIndex0)) | v26(constB95) | v130(constB95, bitIndex0)),
% 73.12/45.98 inference(modus_ponens,[status(thm)],[15008, 15007])).
% 73.12/45.98 tff(15010,plain,
% 73.12/45.98 ((~v127(constB95, bitIndex0)) | v130(constB95, bitIndex0)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[15009, 905, 14907])).
% 73.12/45.98 tff(15011,plain,
% 73.12/45.98 (~v127(constB95, bitIndex0)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[15010, 15003])).
% 73.12/45.98 tff(15012,plain,
% 73.12/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB95, constB96)) | v127(constB95, bitIndex0) | (~v129(constB96, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB95, constB96)) | v127(constB95, bitIndex0) | (~v129(constB96, bitIndex0)))),
% 73.12/45.98 inference(rewrite,[status(thm)],[])).
% 73.12/45.98 tff(15013,plain,
% 73.12/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB95, constB96)) | v127(constB95, bitIndex0) | (~v129(constB96, bitIndex0)))),
% 73.12/45.98 inference(quant_inst,[status(thm)],[])).
% 73.12/45.98 tff(15014,plain,
% 73.12/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB95, constB96)) | v127(constB95, bitIndex0) | (~v129(constB96, bitIndex0))),
% 73.12/45.98 inference(modus_ponens,[status(thm)],[15013, 15012])).
% 73.12/45.98 tff(15015,plain,
% 73.12/45.98 (v127(constB95, bitIndex0) | (~v129(constB96, bitIndex0))),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[15014, 923, 14865])).
% 73.12/45.98 tff(15016,plain,
% 73.12/45.98 (~v129(constB96, bitIndex0)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[15015, 15011])).
% 73.12/45.98 tff(15017,plain,
% 73.12/45.98 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0) | (~v100(constB96)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0) | (~v100(constB96)))),
% 73.12/45.98 inference(rewrite,[status(thm)],[])).
% 73.12/45.98 tff(15018,plain,
% 73.12/45.98 (((~v90(constB96, bitIndex0)) | (~v100(constB96)) | v129(constB96, bitIndex0)) <=> ((~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0) | (~v100(constB96)))),
% 73.12/45.98 inference(rewrite,[status(thm)],[])).
% 73.12/45.98 tff(15019,plain,
% 73.12/45.98 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | (~v100(constB96)) | v129(constB96, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0) | (~v100(constB96))))),
% 73.12/45.98 inference(monotonicity,[status(thm)],[15018])).
% 73.12/45.98 tff(15020,plain,
% 73.12/45.98 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | (~v100(constB96)) | v129(constB96, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0) | (~v100(constB96)))),
% 73.12/45.98 inference(transitivity,[status(thm)],[15019, 15017])).
% 73.12/45.98 tff(15021,plain,
% 73.12/45.98 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB96, bitIndex0)) | (~v100(constB96)) | v129(constB96, bitIndex0))),
% 73.12/45.98 inference(quant_inst,[status(thm)],[])).
% 73.12/45.98 tff(15022,plain,
% 73.12/45.98 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0) | (~v100(constB96))),
% 73.12/45.98 inference(modus_ponens,[status(thm)],[15021, 15020])).
% 73.12/45.98 tff(15023,plain,
% 73.12/45.98 ((~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[15022, 938, 14965])).
% 73.12/45.98 tff(15024,plain,
% 73.12/45.98 (~v90(constB96, bitIndex0)),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[15023, 15016])).
% 73.12/45.98 tff(15025,plain,
% 73.12/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex0)))),
% 73.12/45.98 inference(rewrite,[status(thm)],[])).
% 73.12/45.98 tff(15026,plain,
% 73.12/45.98 (((~nextState(constB96, constB97)) | v90(constB96, bitIndex0) | v100(constB97) | (~v90(constB97, bitIndex0))) <=> (v90(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex0)))),
% 73.12/45.98 inference(rewrite,[status(thm)],[])).
% 73.12/45.98 tff(15027,plain,
% 73.12/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex0) | v100(constB97) | (~v90(constB97, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex0))))),
% 73.12/45.98 inference(monotonicity,[status(thm)],[15026])).
% 73.12/45.98 tff(15028,plain,
% 73.12/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex0) | v100(constB97) | (~v90(constB97, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex0)))),
% 73.12/45.98 inference(transitivity,[status(thm)],[15027, 15025])).
% 73.12/45.98 tff(15029,plain,
% 73.12/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB96, constB97)) | v90(constB96, bitIndex0) | v100(constB97) | (~v90(constB97, bitIndex0)))),
% 73.12/45.98 inference(quant_inst,[status(thm)],[])).
% 73.12/45.98 tff(15030,plain,
% 73.12/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex0))),
% 73.12/45.98 inference(modus_ponens,[status(thm)],[15029, 15028])).
% 73.12/45.98 tff(15031,plain,
% 73.12/45.98 (v90(constB96, bitIndex0) | v100(constB97) | (~v90(constB97, bitIndex0))),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[15030, 130, 14931])).
% 73.12/45.98 tff(15032,plain,
% 73.12/45.98 (v90(constB96, bitIndex0) | (~v90(constB97, bitIndex0))),
% 73.12/45.98 inference(unit_resolution,[status(thm)],[15031, 14943])).
% 73.12/45.98 tff(15033,plain,
% 73.16/45.98 (~v90(constB97, bitIndex0)),
% 73.16/45.98 inference(unit_resolution,[status(thm)],[15032, 15024])).
% 73.16/45.98 tff(15034,plain,
% 73.16/45.98 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)) | v125(constB97))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)) | v125(constB97))),
% 73.16/45.98 inference(rewrite,[status(thm)],[])).
% 73.16/45.98 tff(15035,plain,
% 73.16/45.98 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)) | v125(constB97))),
% 73.16/45.98 inference(quant_inst,[status(thm)],[])).
% 73.16/45.98 tff(15036,plain,
% 73.16/45.98 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)) | v125(constB97)),
% 73.16/45.98 inference(modus_ponens,[status(thm)],[15035, 15034])).
% 73.16/45.98 tff(15037,plain,
% 73.16/45.98 (v125(constB97)),
% 73.16/45.98 inference(unit_resolution,[status(thm)],[15036, 2036, 15033, 14999, 14968])).
% 73.16/45.98 tff(15038,plain,
% 73.16/45.98 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB97) | (~v125(constB97)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB97) | (~v125(constB97)))),
% 73.16/45.98 inference(rewrite,[status(thm)],[])).
% 73.16/45.98 tff(15039,plain,
% 73.16/45.98 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB97) | (~v125(constB97)))),
% 73.16/45.98 inference(quant_inst,[status(thm)],[])).
% 73.16/45.98 tff(15040,plain,
% 73.16/45.98 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB97) | (~v125(constB97))),
% 73.16/45.98 inference(modus_ponens,[status(thm)],[15039, 15038])).
% 73.16/45.98 tff(15041,plain,
% 73.16/45.98 (v113(constB97)),
% 73.16/45.98 inference(unit_resolution,[status(thm)],[15040, 2047, 15037])).
% 73.16/45.98 tff(15042,assumption,(v26(constB97)), introduced(assumption)).
% 73.16/45.98 tff(15043,plain,
% 73.16/45.98 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB97))),
% 73.16/45.98 inference(quant_inst,[status(thm)],[])).
% 73.16/45.98 tff(15044,plain,
% 73.16/45.98 ($false),
% 73.16/45.98 inference(unit_resolution,[status(thm)],[15043, 37, 15042])).
% 73.16/45.98 tff(15045,plain,(~v26(constB97)), inference(lemma,lemma(discharge,[]))).
% 73.16/45.98 tff(15046,plain,
% 73.16/45.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | (~v113(constB97)) | v112(constB97))),
% 73.16/45.98 inference(rewrite,[status(thm)],[])).
% 73.16/45.98 tff(15047,plain,
% 73.16/45.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))),
% 73.16/45.98 inference(quant_inst,[status(thm)],[])).
% 73.16/45.98 tff(15048,plain,
% 73.16/45.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | (~v113(constB97)) | v112(constB97)),
% 73.16/45.98 inference(modus_ponens,[status(thm)],[15047, 15046])).
% 73.16/45.98 tff(15049,plain,
% 73.16/45.98 ((~v113(constB97)) | v112(constB97)),
% 73.16/45.98 inference(unit_resolution,[status(thm)],[15048, 301, 15045])).
% 73.16/45.98 tff(15050,plain,
% 73.16/45.98 (v112(constB97)),
% 73.16/45.98 inference(unit_resolution,[status(thm)],[15049, 15041])).
% 73.16/45.98 tff(15051,plain,
% 73.16/45.98 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB97) | (~v112(constB97)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB97) | (~v112(constB97)))),
% 73.16/45.98 inference(rewrite,[status(thm)],[])).
% 73.16/45.98 tff(15052,plain,
% 73.16/45.98 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB97) | (~v112(constB97)))),
% 73.16/45.98 inference(quant_inst,[status(thm)],[])).
% 73.16/45.98 tff(15053,plain,
% 73.16/45.98 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB97) | (~v112(constB97))),
% 73.16/45.98 inference(modus_ponens,[status(thm)],[15052, 15051])).
% 73.16/45.98 tff(15054,plain,
% 73.16/45.98 (v108(constB97)),
% 73.16/45.98 inference(unit_resolution,[status(thm)],[15053, 210, 15050])).
% 73.16/45.98 tff(15055,plain,
% 73.16/45.98 (nextState(constB97, constB98) <=> nextState(constB97, constB98)),
% 73.16/45.98 inference(rewrite,[status(thm)],[])).
% 73.16/45.98 tff(15056,axiom,(nextState(constB97, constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_97_1')).
% 73.16/45.98 tff(15057,plain,
% 73.16/45.98 (nextState(constB97, constB98)),
% 73.16/45.98 inference(modus_ponens,[status(thm)],[15056, 15055])).
% 73.16/45.98 tff(15058,plain,
% 73.16/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 73.16/45.98 inference(rewrite,[status(thm)],[])).
% 73.16/45.98 tff(15059,plain,
% 73.16/45.98 (((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98)) <=> ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 73.16/45.98 inference(rewrite,[status(thm)],[])).
% 73.16/45.98 tff(15060,plain,
% 73.16/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97))))),
% 73.16/45.98 inference(monotonicity,[status(thm)],[15059])).
% 73.16/45.98 tff(15061,plain,
% 73.16/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 73.16/45.98 inference(transitivity,[status(thm)],[15060, 15058])).
% 73.16/45.98 tff(15062,plain,
% 73.16/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))),
% 73.16/45.98 inference(quant_inst,[status(thm)],[])).
% 73.16/45.98 tff(15063,plain,
% 73.16/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97))),
% 73.16/45.98 inference(modus_ponens,[status(thm)],[15062, 15061])).
% 73.16/45.98 tff(15064,plain,
% 73.16/45.98 (v110(constB98) | (~v108(constB97))),
% 73.16/45.98 inference(unit_resolution,[status(thm)],[15063, 317, 15057])).
% 73.16/45.98 tff(15065,plain,
% 73.16/45.98 (v110(constB98)),
% 73.16/45.98 inference(unit_resolution,[status(thm)],[15064, 15054])).
% 73.16/45.98 tff(15066,plain,
% 73.16/45.98 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))),
% 73.16/45.98 inference(rewrite,[status(thm)],[])).
% 73.16/45.98 tff(15067,plain,
% 73.16/45.98 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))),
% 73.16/45.98 inference(quant_inst,[status(thm)],[])).
% 73.16/45.98 tff(15068,plain,
% 73.16/45.98 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98))),
% 73.16/45.98 inference(modus_ponens,[status(thm)],[15067, 15066])).
% 73.16/45.98 tff(15069,plain,
% 73.16/45.98 (~v104(constB98)),
% 73.16/45.98 inference(unit_resolution,[status(thm)],[15068, 335, 15057, 14928])).
% 73.16/45.98 tff(15070,plain,
% 73.16/45.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))),
% 73.16/45.98 inference(rewrite,[status(thm)],[])).
% 73.16/45.98 tff(15071,plain,
% 73.16/45.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))),
% 73.16/45.99 inference(quant_inst,[status(thm)],[])).
% 73.16/45.99 tff(15072,plain,
% 73.16/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v102(constB98) | v104(constB98)),
% 73.16/45.99 inference(modus_ponens,[status(thm)],[15071, 15070])).
% 73.16/45.99 tff(15073,plain,
% 73.16/45.99 (v102(constB98) | v104(constB98)),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15072, 349, 15057])).
% 73.16/45.99 tff(15074,plain,
% 73.16/45.99 (v102(constB98)),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15073, 15069])).
% 73.16/45.99 tff(15075,plain,
% 73.16/45.99 (v1(constB98) <=> v1(constB98)),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15076,axiom,(v1(constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_98_1')).
% 73.16/45.99 tff(15077,plain,
% 73.16/45.99 (v1(constB98)),
% 73.16/45.99 inference(modus_ponens,[status(thm)],[15076, 15075])).
% 73.16/45.99 tff(15078,plain,
% 73.16/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15079,plain,
% 73.16/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))),
% 73.16/45.99 inference(quant_inst,[status(thm)],[])).
% 73.16/45.99 tff(15080,plain,
% 73.16/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98))),
% 73.16/45.99 inference(modus_ponens,[status(thm)],[15079, 15078])).
% 73.16/45.99 tff(15081,plain,
% 73.16/45.99 (v101(constB98) | (~v102(constB98))),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15080, 367, 15057, 15077])).
% 73.16/45.99 tff(15082,plain,
% 73.16/45.99 (v101(constB98)),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15081, 15074])).
% 73.16/45.99 tff(15083,plain,
% 73.16/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15084,plain,
% 73.16/45.99 (((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98)) <=> ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15085,plain,
% 73.16/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98))))),
% 73.16/45.99 inference(monotonicity,[status(thm)],[15084])).
% 73.16/45.99 tff(15086,plain,
% 73.16/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 73.16/45.99 inference(transitivity,[status(thm)],[15085, 15083])).
% 73.16/45.99 tff(15087,plain,
% 73.16/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))),
% 73.16/45.99 inference(quant_inst,[status(thm)],[])).
% 73.16/45.99 tff(15088,plain,
% 73.16/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98))),
% 73.16/45.99 inference(modus_ponens,[status(thm)],[15087, 15086])).
% 73.16/45.99 tff(15089,plain,
% 73.16/45.99 (v100(constB98) | (~v101(constB98)) | (~v110(constB98))),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15088, 382, 15057])).
% 73.16/45.99 tff(15090,plain,
% 73.16/45.99 (v100(constB98) | (~v110(constB98))),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15089, 15082])).
% 73.16/45.99 tff(15091,plain,
% 73.16/45.99 (v100(constB98)),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15090, 15065])).
% 73.16/45.99 tff(15092,plain,
% 73.16/45.99 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB97)) | (~v90(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB97)) | (~v90(constB97, bitIndex1)))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15093,plain,
% 73.16/45.99 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB97)) | (~v90(constB97, bitIndex1)))),
% 73.16/45.99 inference(quant_inst,[status(thm)],[])).
% 73.16/45.99 tff(15094,plain,
% 73.16/45.99 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB97)) | (~v90(constB97, bitIndex1))),
% 73.16/45.99 inference(modus_ponens,[status(thm)],[15093, 15092])).
% 73.16/45.99 tff(15095,plain,
% 73.16/45.99 (~v119(constB97)),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15094, 1908, 14999])).
% 73.16/45.99 tff(15096,plain,
% 73.16/45.99 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB97, bitIndex1)) | (~v120(constB97)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB97, bitIndex1)) | (~v120(constB97)))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15097,plain,
% 73.16/45.99 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB97, bitIndex1)) | (~v120(constB97)))),
% 73.16/45.99 inference(quant_inst,[status(thm)],[])).
% 73.16/45.99 tff(15098,plain,
% 73.16/45.99 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB97, bitIndex1)) | (~v120(constB97))),
% 73.16/45.99 inference(modus_ponens,[status(thm)],[15097, 15096])).
% 73.16/45.99 tff(15099,plain,
% 73.16/45.99 (~v120(constB97)),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15098, 1919, 14999])).
% 73.16/45.99 tff(15100,plain,
% 73.16/45.99 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB97, bitIndex1)) | (~v123(constB97)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB97, bitIndex1)) | (~v123(constB97)))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15101,plain,
% 73.16/45.99 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB97, bitIndex1)) | (~v123(constB97)))),
% 73.16/45.99 inference(quant_inst,[status(thm)],[])).
% 73.16/45.99 tff(15102,plain,
% 73.16/45.99 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB97, bitIndex1)) | (~v123(constB97))),
% 73.16/45.99 inference(modus_ponens,[status(thm)],[15101, 15100])).
% 73.16/45.99 tff(15103,plain,
% 73.16/45.99 (~v123(constB97)),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15102, 1930, 14999])).
% 73.16/45.99 tff(15104,plain,
% 73.16/45.99 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB97, bitIndex1)) | (~v124(constB97)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB97, bitIndex1)) | (~v124(constB97)))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15105,plain,
% 73.16/45.99 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB97, bitIndex1)) | (~v124(constB97)))),
% 73.16/45.99 inference(quant_inst,[status(thm)],[])).
% 73.16/45.99 tff(15106,plain,
% 73.16/45.99 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB97, bitIndex1)) | (~v124(constB97))),
% 73.16/45.99 inference(modus_ponens,[status(thm)],[15105, 15104])).
% 73.16/45.99 tff(15107,plain,
% 73.16/45.99 (~v124(constB97)),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15106, 1941, 14999])).
% 73.16/45.99 tff(15108,assumption,(~v121(constB97)), introduced(assumption)).
% 73.16/45.99 tff(15109,assumption,(~v122(constB97)), introduced(assumption)).
% 73.16/45.99 tff(15110,plain,
% 73.16/45.99 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex2)))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15111,plain,
% 73.16/45.99 ((v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex2))) <=> (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex2)))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15112,plain,
% 73.16/45.99 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex2))))),
% 73.16/45.99 inference(monotonicity,[status(thm)],[15111])).
% 73.16/45.99 tff(15113,plain,
% 73.16/45.99 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex2)))),
% 73.16/45.99 inference(transitivity,[status(thm)],[15112, 15110])).
% 73.16/45.99 tff(15114,plain,
% 73.16/45.99 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex2)))),
% 73.16/45.99 inference(quant_inst,[status(thm)],[])).
% 73.16/45.99 tff(15115,plain,
% 73.16/45.99 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex2))),
% 73.16/45.99 inference(modus_ponens,[status(thm)],[15114, 15113])).
% 73.16/45.99 tff(15116,plain,
% 73.16/45.99 (~v130(constB97, bitIndex2)),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15115, 1955, 15109, 15108, 15107, 15103, 15099, 15095])).
% 73.16/45.99 tff(15117,plain,
% 73.16/45.99 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15118,plain,
% 73.16/45.99 ((v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2))) <=> ((~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15119,plain,
% 73.16/45.99 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2)))),
% 73.16/45.99 inference(monotonicity,[status(thm)],[15118])).
% 73.16/45.99 tff(15120,plain,
% 73.16/45.99 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))),
% 73.16/45.99 inference(transitivity,[status(thm)],[15119, 15117])).
% 73.16/45.99 tff(15121,plain,
% 73.16/45.99 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2)))),
% 73.16/45.99 inference(quant_inst,[status(thm)],[])).
% 73.16/45.99 tff(15122,plain,
% 73.16/45.99 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2)),
% 73.16/45.99 inference(modus_ponens,[status(thm)],[15121, 15120])).
% 73.16/45.99 tff(15123,plain,
% 73.16/45.99 ((~v127(constB97, bitIndex2)) | v130(constB97, bitIndex2)),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15122, 470, 15045])).
% 73.16/45.99 tff(15124,plain,
% 73.16/45.99 (~v127(constB97, bitIndex2)),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15123, 15116])).
% 73.16/45.99 tff(15125,plain,
% 73.16/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2)))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15126,plain,
% 73.16/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2)))),
% 73.16/45.99 inference(quant_inst,[status(thm)],[])).
% 73.16/45.99 tff(15127,plain,
% 73.16/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2))),
% 73.16/45.99 inference(modus_ponens,[status(thm)],[15126, 15125])).
% 73.16/45.99 tff(15128,plain,
% 73.16/45.99 (v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2))),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15127, 488, 15057])).
% 73.16/45.99 tff(15129,plain,
% 73.16/45.99 (~v129(constB98, bitIndex2)),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15128, 15124])).
% 73.16/45.99 tff(15130,plain,
% 73.16/45.99 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15131,plain,
% 73.16/45.99 (((~v90(constB98, bitIndex2)) | (~v100(constB98)) | v129(constB98, bitIndex2)) <=> ((~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15132,plain,
% 73.16/45.99 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB98, bitIndex2)) | (~v100(constB98)) | v129(constB98, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98))))),
% 73.16/45.99 inference(monotonicity,[status(thm)],[15131])).
% 73.16/45.99 tff(15133,plain,
% 73.16/45.99 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB98, bitIndex2)) | (~v100(constB98)) | v129(constB98, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))),
% 73.16/45.99 inference(transitivity,[status(thm)],[15132, 15130])).
% 73.16/45.99 tff(15134,plain,
% 73.16/45.99 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB98, bitIndex2)) | (~v100(constB98)) | v129(constB98, bitIndex2))),
% 73.16/45.99 inference(quant_inst,[status(thm)],[])).
% 73.16/45.99 tff(15135,plain,
% 73.16/45.99 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98))),
% 73.16/45.99 inference(modus_ponens,[status(thm)],[15134, 15133])).
% 73.16/45.99 tff(15136,plain,
% 73.16/45.99 ((~v90(constB98, bitIndex2)) | (~v100(constB98))),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15135, 503, 15129])).
% 73.16/45.99 tff(15137,plain,
% 73.16/45.99 (~v90(constB98, bitIndex2)),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15136, 15091])).
% 73.16/45.99 tff(15138,plain,
% 73.16/45.99 ((~v1(constB99)) <=> (~v1(constB99))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15139,axiom,(~v1(constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_99_1_1')).
% 73.16/45.99 tff(15140,plain,
% 73.16/45.99 (~v1(constB99)),
% 73.16/45.99 inference(modus_ponens,[status(thm)],[15139, 15138])).
% 73.16/45.99 tff(15141,plain,
% 73.16/45.99 (nextState(constB98, constB99) <=> nextState(constB98, constB99)),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15142,axiom,(nextState(constB98, constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_98_1')).
% 73.16/45.99 tff(15143,plain,
% 73.16/45.99 (nextState(constB98, constB99)),
% 73.16/45.99 inference(modus_ponens,[status(thm)],[15142, 15141])).
% 73.16/45.99 tff(15144,plain,
% 73.16/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15145,plain,
% 73.16/45.99 (((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99)) <=> (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15146,plain,
% 73.16/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99))))),
% 73.16/45.99 inference(monotonicity,[status(thm)],[15145])).
% 73.16/45.99 tff(15147,plain,
% 73.16/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 73.16/45.99 inference(transitivity,[status(thm)],[15146, 15144])).
% 73.16/45.99 tff(15148,plain,
% 73.16/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))),
% 73.16/45.99 inference(quant_inst,[status(thm)],[])).
% 73.16/45.99 tff(15149,plain,
% 73.16/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99))),
% 73.16/45.99 inference(modus_ponens,[status(thm)],[15148, 15147])).
% 73.16/45.99 tff(15150,plain,
% 73.16/45.99 (~v101(constB99)),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15149, 56, 15143, 15140])).
% 73.16/45.99 tff(15151,plain,
% 73.16/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15152,plain,
% 73.16/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))),
% 73.16/45.99 inference(quant_inst,[status(thm)],[])).
% 73.16/45.99 tff(15153,plain,
% 73.16/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99))),
% 73.16/45.99 inference(modus_ponens,[status(thm)],[15152, 15151])).
% 73.16/45.99 tff(15154,plain,
% 73.16/45.99 (v101(constB99) | (~v100(constB99))),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15153, 73, 15143])).
% 73.16/45.99 tff(15155,plain,
% 73.16/45.99 (~v100(constB99)),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15154, 15150])).
% 73.16/45.99 tff(15156,plain,
% 73.16/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15157,plain,
% 73.16/45.99 (((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2))) <=> (v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15158,plain,
% 73.16/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2))))),
% 73.16/45.99 inference(monotonicity,[status(thm)],[15157])).
% 73.16/45.99 tff(15159,plain,
% 73.16/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 73.16/45.99 inference(transitivity,[status(thm)],[15158, 15156])).
% 73.16/45.99 tff(15160,plain,
% 73.16/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 73.16/45.99 inference(quant_inst,[status(thm)],[])).
% 73.16/45.99 tff(15161,plain,
% 73.16/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2))),
% 73.16/45.99 inference(modus_ponens,[status(thm)],[15160, 15159])).
% 73.16/45.99 tff(15162,plain,
% 73.16/45.99 (v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2))),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15161, 88, 15143])).
% 73.16/45.99 tff(15163,plain,
% 73.16/45.99 (v90(constB98, bitIndex2) | (~v90(constB99, bitIndex2))),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15162, 15155])).
% 73.16/45.99 tff(15164,plain,
% 73.16/45.99 (~v90(constB99, bitIndex2)),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15163, 15137])).
% 73.16/45.99 tff(15165,plain,
% 73.16/45.99 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15166,plain,
% 73.16/45.99 ((v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, bitIndex0)) <=> (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15167,plain,
% 73.16/45.99 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0)))),
% 73.16/45.99 inference(monotonicity,[status(thm)],[15166])).
% 73.16/45.99 tff(15168,plain,
% 73.16/45.99 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0))),
% 73.16/45.99 inference(transitivity,[status(thm)],[15167, 15165])).
% 73.16/45.99 tff(15169,plain,
% 73.16/45.99 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, bitIndex0))),
% 73.16/45.99 inference(quant_inst,[status(thm)],[])).
% 73.16/45.99 tff(15170,plain,
% 73.16/45.99 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | v130(constB97, bitIndex0)),
% 73.16/45.99 inference(modus_ponens,[status(thm)],[15169, 15168])).
% 73.16/45.99 tff(15171,plain,
% 73.16/45.99 (v130(constB97, bitIndex0)),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15170, 2192, 15109, 15108, 15107, 15103, 15099, 15095])).
% 73.16/45.99 tff(15172,plain,
% 73.16/45.99 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB97) | (~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB97) | (~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15173,plain,
% 73.16/45.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB97) | (~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0))),
% 73.16/45.99 inference(quant_inst,[status(thm)],[])).
% 73.16/45.99 tff(15174,plain,
% 73.16/45.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB97) | (~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0)),
% 73.16/45.99 inference(modus_ponens,[status(thm)],[15173, 15172])).
% 73.16/45.99 tff(15175,plain,
% 73.16/45.99 ((~v130(constB97, bitIndex0)) | v127(constB97, bitIndex0)),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15174, 179, 15045])).
% 73.16/45.99 tff(15176,plain,
% 73.16/45.99 (v127(constB97, bitIndex0)),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15175, 15171])).
% 73.16/45.99 tff(15177,plain,
% 73.16/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB97, constB98)) | (~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB97, constB98)) | (~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15178,plain,
% 73.16/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB97, constB98)) | (~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0))),
% 73.16/45.99 inference(quant_inst,[status(thm)],[])).
% 73.16/45.99 tff(15179,plain,
% 73.16/45.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB97, constB98)) | (~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0)),
% 73.16/45.99 inference(modus_ponens,[status(thm)],[15178, 15177])).
% 73.16/45.99 tff(15180,plain,
% 73.16/45.99 ((~v127(constB97, bitIndex0)) | v129(constB98, bitIndex0)),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15179, 197, 15057])).
% 73.16/45.99 tff(15181,plain,
% 73.16/45.99 (v129(constB98, bitIndex0)),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15180, 15176])).
% 73.16/45.99 tff(15182,plain,
% 73.16/45.99 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98)))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15183,plain,
% 73.16/45.99 ((v90(constB98, bitIndex0) | (~v100(constB98)) | (~v129(constB98, bitIndex0))) <=> (v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98)))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15184,plain,
% 73.16/45.99 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~v100(constB98)) | (~v129(constB98, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98))))),
% 73.16/45.99 inference(monotonicity,[status(thm)],[15183])).
% 73.16/45.99 tff(15185,plain,
% 73.16/45.99 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~v100(constB98)) | (~v129(constB98, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98)))),
% 73.16/45.99 inference(transitivity,[status(thm)],[15184, 15182])).
% 73.16/45.99 tff(15186,plain,
% 73.16/45.99 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB98, bitIndex0) | (~v100(constB98)) | (~v129(constB98, bitIndex0)))),
% 73.16/45.99 inference(quant_inst,[status(thm)],[])).
% 73.16/45.99 tff(15187,plain,
% 73.16/45.99 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0)) | (~v100(constB98))),
% 73.16/45.99 inference(modus_ponens,[status(thm)],[15186, 15185])).
% 73.16/45.99 tff(15188,plain,
% 73.16/45.99 (v90(constB98, bitIndex0) | (~v100(constB98))),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15187, 401, 15181])).
% 73.16/45.99 tff(15189,plain,
% 73.16/45.99 (v90(constB98, bitIndex0)),
% 73.16/45.99 inference(unit_resolution,[status(thm)],[15188, 15091])).
% 73.16/45.99 tff(15190,plain,
% 73.16/45.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0))),
% 73.16/45.99 inference(rewrite,[status(thm)],[])).
% 73.16/45.99 tff(15191,plain,
% 73.16/45.99 (((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0)) <=> ((~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15192,plain,
% 73.16/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0)))),
% 73.16/46.00 inference(monotonicity,[status(thm)],[15191])).
% 73.16/46.00 tff(15193,plain,
% 73.16/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0))),
% 73.16/46.00 inference(transitivity,[status(thm)],[15192, 15190])).
% 73.16/46.00 tff(15194,plain,
% 73.16/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0))),
% 73.16/46.00 inference(quant_inst,[status(thm)],[])).
% 73.16/46.00 tff(15195,plain,
% 73.16/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex0)),
% 73.16/46.00 inference(modus_ponens,[status(thm)],[15194, 15193])).
% 73.16/46.00 tff(15196,plain,
% 73.16/46.00 ((~v90(constB98, bitIndex0)) | v100(constB99) | v90(constB99, bitIndex0)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15195, 437, 15143])).
% 73.16/46.00 tff(15197,plain,
% 73.16/46.00 ((~v90(constB98, bitIndex0)) | v90(constB99, bitIndex0)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15196, 15155])).
% 73.16/46.00 tff(15198,plain,
% 73.16/46.00 (v90(constB99, bitIndex0)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15197, 15189])).
% 73.16/46.00 tff(15199,plain,
% 73.16/46.00 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex1)))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15200,plain,
% 73.16/46.00 ((v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex1))) <=> (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex1)))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15201,plain,
% 73.16/46.00 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex1))))),
% 73.16/46.00 inference(monotonicity,[status(thm)],[15200])).
% 73.16/46.00 tff(15202,plain,
% 73.16/46.00 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex1)))),
% 73.16/46.00 inference(transitivity,[status(thm)],[15201, 15199])).
% 73.16/46.00 tff(15203,plain,
% 73.16/46.00 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB97) | v119(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, bitIndex1)))),
% 73.16/46.00 inference(quant_inst,[status(thm)],[])).
% 73.16/46.00 tff(15204,plain,
% 73.16/46.00 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~v130(constB97, bitIndex1))),
% 73.16/46.00 inference(modus_ponens,[status(thm)],[15203, 15202])).
% 73.16/46.00 tff(15205,plain,
% 73.16/46.00 (~v130(constB97, bitIndex1)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15204, 2146, 15109, 15108, 15107, 15103, 15099, 15095])).
% 73.16/46.00 tff(15206,plain,
% 73.16/46.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15207,plain,
% 73.16/46.00 ((v26(constB97) | v130(constB97, bitIndex1) | (~v127(constB97, bitIndex1))) <=> ((~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15208,plain,
% 73.16/46.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB97) | v130(constB97, bitIndex1) | (~v127(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1)))),
% 73.16/46.00 inference(monotonicity,[status(thm)],[15207])).
% 73.16/46.00 tff(15209,plain,
% 73.16/46.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB97) | v130(constB97, bitIndex1) | (~v127(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1))),
% 73.16/46.00 inference(transitivity,[status(thm)],[15208, 15206])).
% 73.16/46.00 tff(15210,plain,
% 73.16/46.00 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB97) | v130(constB97, bitIndex1) | (~v127(constB97, bitIndex1)))),
% 73.16/46.00 inference(quant_inst,[status(thm)],[])).
% 73.16/46.00 tff(15211,plain,
% 73.16/46.00 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB97, bitIndex1)) | v26(constB97) | v130(constB97, bitIndex1)),
% 73.16/46.00 inference(modus_ponens,[status(thm)],[15210, 15209])).
% 73.16/46.00 tff(15212,plain,
% 73.16/46.00 ((~v127(constB97, bitIndex1)) | v130(constB97, bitIndex1)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15211, 555, 15045])).
% 73.16/46.00 tff(15213,plain,
% 73.16/46.00 (~v127(constB97, bitIndex1)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15212, 15205])).
% 73.16/46.00 tff(15214,plain,
% 73.16/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex1) | (~v129(constB98, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex1) | (~v129(constB98, bitIndex1)))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15215,plain,
% 73.16/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex1) | (~v129(constB98, bitIndex1)))),
% 73.16/46.00 inference(quant_inst,[status(thm)],[])).
% 73.16/46.00 tff(15216,plain,
% 73.16/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex1) | (~v129(constB98, bitIndex1))),
% 73.16/46.00 inference(modus_ponens,[status(thm)],[15215, 15214])).
% 73.16/46.00 tff(15217,plain,
% 73.16/46.00 (v127(constB97, bitIndex1) | (~v129(constB98, bitIndex1))),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15216, 588, 15057])).
% 73.16/46.00 tff(15218,plain,
% 73.16/46.00 (~v129(constB98, bitIndex1)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15217, 15213])).
% 73.16/46.00 tff(15219,plain,
% 73.16/46.00 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1) | (~v100(constB98)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1) | (~v100(constB98)))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15220,plain,
% 73.16/46.00 (((~v90(constB98, bitIndex1)) | (~v100(constB98)) | v129(constB98, bitIndex1)) <=> ((~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1) | (~v100(constB98)))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15221,plain,
% 73.16/46.00 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | (~v100(constB98)) | v129(constB98, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1) | (~v100(constB98))))),
% 73.16/46.00 inference(monotonicity,[status(thm)],[15220])).
% 73.16/46.00 tff(15222,plain,
% 73.16/46.00 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | (~v100(constB98)) | v129(constB98, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1) | (~v100(constB98)))),
% 73.16/46.00 inference(transitivity,[status(thm)],[15221, 15219])).
% 73.16/46.00 tff(15223,plain,
% 73.16/46.00 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB98, bitIndex1)) | (~v100(constB98)) | v129(constB98, bitIndex1))),
% 73.16/46.00 inference(quant_inst,[status(thm)],[])).
% 73.16/46.00 tff(15224,plain,
% 73.16/46.00 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1) | (~v100(constB98))),
% 73.16/46.00 inference(modus_ponens,[status(thm)],[15223, 15222])).
% 73.16/46.00 tff(15225,plain,
% 73.16/46.00 ((~v90(constB98, bitIndex1)) | (~v100(constB98))),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15224, 603, 15218])).
% 73.16/46.00 tff(15226,plain,
% 73.16/46.00 (~v90(constB98, bitIndex1)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15225, 15091])).
% 73.16/46.00 tff(15227,plain,
% 73.16/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1)))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15228,plain,
% 73.16/46.00 (((~nextState(constB98, constB99)) | v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1))) <=> (v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1)))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15229,plain,
% 73.16/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1))))),
% 73.16/46.00 inference(monotonicity,[status(thm)],[15228])).
% 73.16/46.00 tff(15230,plain,
% 73.16/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1)))),
% 73.16/46.00 inference(transitivity,[status(thm)],[15229, 15227])).
% 73.16/46.00 tff(15231,plain,
% 73.16/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB98, constB99)) | v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1)))),
% 73.16/46.00 inference(quant_inst,[status(thm)],[])).
% 73.16/46.00 tff(15232,plain,
% 73.16/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex1))),
% 73.16/46.00 inference(modus_ponens,[status(thm)],[15231, 15230])).
% 73.16/46.00 tff(15233,plain,
% 73.16/46.00 (v90(constB98, bitIndex1) | v100(constB99) | (~v90(constB99, bitIndex1))),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15232, 109, 15143])).
% 73.16/46.00 tff(15234,plain,
% 73.16/46.00 (v90(constB98, bitIndex1) | (~v90(constB99, bitIndex1))),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15233, 15155])).
% 73.16/46.00 tff(15235,plain,
% 73.16/46.00 (~v90(constB99, bitIndex1)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15234, 15226])).
% 73.16/46.00 tff(15236,assumption,(~v120(constB99)), introduced(assumption)).
% 73.16/46.00 tff(15237,plain,
% 73.16/46.00 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15238,plain,
% 73.16/46.00 (((~v90(constB99, bitIndex0)) | v120(constB99) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2)) <=> ((~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15239,plain,
% 73.16/46.00 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB99, bitIndex0)) | v120(constB99) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99)))),
% 73.16/46.00 inference(monotonicity,[status(thm)],[15238])).
% 73.16/46.00 tff(15240,plain,
% 73.16/46.00 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB99, bitIndex0)) | v120(constB99) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99))),
% 73.16/46.00 inference(transitivity,[status(thm)],[15239, 15237])).
% 73.16/46.00 tff(15241,plain,
% 73.16/46.00 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB99, bitIndex0)) | v120(constB99) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2))),
% 73.16/46.00 inference(quant_inst,[status(thm)],[])).
% 73.16/46.00 tff(15242,plain,
% 73.16/46.00 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | v120(constB99)),
% 73.16/46.00 inference(modus_ponens,[status(thm)],[15241, 15240])).
% 73.16/46.00 tff(15243,plain,
% 73.16/46.00 ((~v90(constB99, bitIndex0)) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15242, 631, 15236])).
% 73.16/46.00 tff(15244,plain,
% 73.16/46.00 ($false),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15243, 15235, 15198, 15164])).
% 73.16/46.00 tff(15245,plain,((~v124(constB95)) | v120(constB99) | v122(constB97) | v121(constB97) | (~v100(constB96))), inference(lemma,lemma(discharge,[]))).
% 73.16/46.00 tff(15246,plain,
% 73.16/46.00 (v120(constB99)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15245, 14960, 14834, 14899, 14956])).
% 73.16/46.00 tff(15247,plain,
% 73.16/46.00 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB99) | (~v120(constB99)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB99) | (~v120(constB99)))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15248,plain,
% 73.16/46.00 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB99) | (~v120(constB99)))),
% 73.16/46.00 inference(quant_inst,[status(thm)],[])).
% 73.16/46.00 tff(15249,plain,
% 73.16/46.00 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB99) | (~v120(constB99))),
% 73.16/46.00 inference(modus_ponens,[status(thm)],[15248, 15247])).
% 73.16/46.00 tff(15250,plain,
% 73.16/46.00 (v118(constB99)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15249, 646, 15246])).
% 73.16/46.00 tff(15251,plain,
% 73.16/46.00 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB99) | (~v118(constB99)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB99) | (~v118(constB99)))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15252,plain,
% 73.16/46.00 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB99) | (~v118(constB99)))),
% 73.16/46.00 inference(quant_inst,[status(thm)],[])).
% 73.16/46.00 tff(15253,plain,
% 73.16/46.00 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB99) | (~v118(constB99))),
% 73.16/46.00 inference(modus_ponens,[status(thm)],[15252, 15251])).
% 73.16/46.00 tff(15254,plain,
% 73.16/46.00 (v117(constB99)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15253, 243, 15250])).
% 73.16/46.00 tff(15255,plain,
% 73.16/46.00 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB99) | (~v117(constB99)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB99) | (~v117(constB99)))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15256,plain,
% 73.16/46.00 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB99) | (~v117(constB99)))),
% 73.16/46.00 inference(quant_inst,[status(thm)],[])).
% 73.16/46.00 tff(15257,plain,
% 73.16/46.00 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB99) | (~v117(constB99))),
% 73.16/46.00 inference(modus_ponens,[status(thm)],[15256, 15255])).
% 73.16/46.00 tff(15258,plain,
% 73.16/46.00 (v116(constB99)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15257, 254, 15254])).
% 73.16/46.00 tff(15259,plain,
% 73.16/46.00 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB99) | (~v116(constB99)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB99) | (~v116(constB99)))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15260,plain,
% 73.16/46.00 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB99) | (~v116(constB99)))),
% 73.16/46.00 inference(quant_inst,[status(thm)],[])).
% 73.16/46.00 tff(15261,plain,
% 73.16/46.00 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB99) | (~v116(constB99))),
% 73.16/46.00 inference(modus_ponens,[status(thm)],[15260, 15259])).
% 73.16/46.00 tff(15262,plain,
% 73.16/46.00 (v115(constB99)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15261, 265, 15258])).
% 73.16/46.00 tff(15263,plain,
% 73.16/46.00 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB99) | (~v115(constB99)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB99) | (~v115(constB99)))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15264,plain,
% 73.16/46.00 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB99) | (~v115(constB99)))),
% 73.16/46.00 inference(quant_inst,[status(thm)],[])).
% 73.16/46.00 tff(15265,plain,
% 73.16/46.00 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB99) | (~v115(constB99))),
% 73.16/46.00 inference(modus_ponens,[status(thm)],[15264, 15263])).
% 73.16/46.00 tff(15266,plain,
% 73.16/46.00 (v114(constB99)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15265, 276, 15262])).
% 73.16/46.00 tff(15267,plain,
% 73.16/46.00 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB99) | (~v114(constB99)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB99) | (~v114(constB99)))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15268,plain,
% 73.16/46.00 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB99) | (~v114(constB99)))),
% 73.16/46.00 inference(quant_inst,[status(thm)],[])).
% 73.16/46.00 tff(15269,plain,
% 73.16/46.00 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB99) | (~v114(constB99))),
% 73.16/46.00 inference(modus_ponens,[status(thm)],[15268, 15267])).
% 73.16/46.00 tff(15270,plain,
% 73.16/46.00 (v113(constB99)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15269, 287, 15266])).
% 73.16/46.00 tff(15271,assumption,(v26(constB99)), introduced(assumption)).
% 73.16/46.00 tff(15272,plain,
% 73.16/46.00 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB99))),
% 73.16/46.00 inference(quant_inst,[status(thm)],[])).
% 73.16/46.00 tff(15273,plain,
% 73.16/46.00 ($false),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15272, 37, 15271])).
% 73.16/46.00 tff(15274,plain,(~v26(constB99)), inference(lemma,lemma(discharge,[]))).
% 73.16/46.00 tff(15275,plain,
% 73.16/46.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | (~v113(constB99)) | v112(constB99))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15276,plain,
% 73.16/46.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))),
% 73.16/46.00 inference(quant_inst,[status(thm)],[])).
% 73.16/46.00 tff(15277,plain,
% 73.16/46.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | (~v113(constB99)) | v112(constB99)),
% 73.16/46.00 inference(modus_ponens,[status(thm)],[15276, 15275])).
% 73.16/46.00 tff(15278,plain,
% 73.16/46.00 ((~v113(constB99)) | v112(constB99)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15277, 301, 15274])).
% 73.16/46.00 tff(15279,plain,
% 73.16/46.00 (v112(constB99)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15278, 15270])).
% 73.16/46.00 tff(15280,plain,
% 73.16/46.00 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB99) | (~v112(constB99)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB99) | (~v112(constB99)))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15281,plain,
% 73.16/46.00 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB99) | (~v112(constB99)))),
% 73.16/46.00 inference(quant_inst,[status(thm)],[])).
% 73.16/46.00 tff(15282,plain,
% 73.16/46.00 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB99) | (~v112(constB99))),
% 73.16/46.00 inference(modus_ponens,[status(thm)],[15281, 15280])).
% 73.16/46.00 tff(15283,plain,
% 73.16/46.00 (v108(constB99)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15282, 210, 15279])).
% 73.16/46.00 tff(15284,plain,
% 73.16/46.00 (nextState(constB99, constB100) <=> nextState(constB99, constB100)),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15285,axiom,(nextState(constB99, constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_99_1')).
% 73.16/46.00 tff(15286,plain,
% 73.16/46.00 (nextState(constB99, constB100)),
% 73.16/46.00 inference(modus_ponens,[status(thm)],[15285, 15284])).
% 73.16/46.00 tff(15287,plain,
% 73.16/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15288,plain,
% 73.16/46.00 (((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100)) <=> ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15289,plain,
% 73.16/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99))))),
% 73.16/46.00 inference(monotonicity,[status(thm)],[15288])).
% 73.16/46.00 tff(15290,plain,
% 73.16/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 73.16/46.00 inference(transitivity,[status(thm)],[15289, 15287])).
% 73.16/46.00 tff(15291,plain,
% 73.16/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))),
% 73.16/46.00 inference(quant_inst,[status(thm)],[])).
% 73.16/46.00 tff(15292,plain,
% 73.16/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99))),
% 73.16/46.00 inference(modus_ponens,[status(thm)],[15291, 15290])).
% 73.16/46.00 tff(15293,plain,
% 73.16/46.00 (v110(constB100) | (~v108(constB99))),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15292, 317, 15286])).
% 73.16/46.00 tff(15294,plain,
% 73.16/46.00 (v110(constB100)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15293, 15283])).
% 73.16/46.00 tff(15295,plain,
% 73.16/46.00 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15296,plain,
% 73.16/46.00 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))),
% 73.16/46.00 inference(quant_inst,[status(thm)],[])).
% 73.16/46.00 tff(15297,plain,
% 73.16/46.00 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100))),
% 73.16/46.00 inference(modus_ponens,[status(thm)],[15296, 15295])).
% 73.16/46.00 tff(15298,plain,
% 73.16/46.00 (~v104(constB100)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15297, 335, 15286, 15140])).
% 73.16/46.00 tff(15299,plain,
% 73.16/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15300,plain,
% 73.16/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))),
% 73.16/46.00 inference(quant_inst,[status(thm)],[])).
% 73.16/46.00 tff(15301,plain,
% 73.16/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v102(constB100) | v104(constB100)),
% 73.16/46.00 inference(modus_ponens,[status(thm)],[15300, 15299])).
% 73.16/46.00 tff(15302,plain,
% 73.16/46.00 (v102(constB100) | v104(constB100)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15301, 349, 15286])).
% 73.16/46.00 tff(15303,plain,
% 73.16/46.00 (v102(constB100)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15302, 15298])).
% 73.16/46.00 tff(15304,plain,
% 73.16/46.00 (v1(constB100) <=> v1(constB100)),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15305,axiom,(v1(constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_100_1')).
% 73.16/46.00 tff(15306,plain,
% 73.16/46.00 (v1(constB100)),
% 73.16/46.00 inference(modus_ponens,[status(thm)],[15305, 15304])).
% 73.16/46.00 tff(15307,plain,
% 73.16/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15308,plain,
% 73.16/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))),
% 73.16/46.00 inference(quant_inst,[status(thm)],[])).
% 73.16/46.00 tff(15309,plain,
% 73.16/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100))),
% 73.16/46.00 inference(modus_ponens,[status(thm)],[15308, 15307])).
% 73.16/46.00 tff(15310,plain,
% 73.16/46.00 (v101(constB100) | (~v102(constB100))),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15309, 367, 15286, 15306])).
% 73.16/46.00 tff(15311,plain,
% 73.16/46.00 (v101(constB100)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15310, 15303])).
% 73.16/46.00 tff(15312,plain,
% 73.16/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15313,plain,
% 73.16/46.00 (((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100)) <=> ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15314,plain,
% 73.16/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100))))),
% 73.16/46.00 inference(monotonicity,[status(thm)],[15313])).
% 73.16/46.00 tff(15315,plain,
% 73.16/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 73.16/46.00 inference(transitivity,[status(thm)],[15314, 15312])).
% 73.16/46.00 tff(15316,plain,
% 73.16/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))),
% 73.16/46.00 inference(quant_inst,[status(thm)],[])).
% 73.16/46.00 tff(15317,plain,
% 73.16/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100))),
% 73.16/46.00 inference(modus_ponens,[status(thm)],[15316, 15315])).
% 73.16/46.00 tff(15318,plain,
% 73.16/46.00 (v100(constB100) | (~v101(constB100)) | (~v110(constB100))),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15317, 382, 15286])).
% 73.16/46.00 tff(15319,plain,
% 73.16/46.00 (v100(constB100) | (~v110(constB100))),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15318, 15311])).
% 73.16/46.00 tff(15320,plain,
% 73.16/46.00 (v100(constB100)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15319, 15294])).
% 73.16/46.00 tff(15321,plain,
% 73.16/46.00 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB99)) | (~v130(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB99)) | (~v130(constB99, bitIndex2)))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15322,plain,
% 73.16/46.00 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB99)) | (~v130(constB99, bitIndex2)))),
% 73.16/46.00 inference(quant_inst,[status(thm)],[])).
% 73.16/46.00 tff(15323,plain,
% 73.16/46.00 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB99)) | (~v130(constB99, bitIndex2))),
% 73.16/46.00 inference(modus_ponens,[status(thm)],[15322, 15321])).
% 73.16/46.00 tff(15324,plain,
% 73.16/46.00 (~v130(constB99, bitIndex2)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15323, 730, 15246])).
% 73.16/46.00 tff(15325,plain,
% 73.16/46.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15326,plain,
% 73.16/46.00 ((v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2))) <=> ((~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15327,plain,
% 73.16/46.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2)))),
% 73.16/46.00 inference(monotonicity,[status(thm)],[15326])).
% 73.16/46.00 tff(15328,plain,
% 73.16/46.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))),
% 73.16/46.00 inference(transitivity,[status(thm)],[15327, 15325])).
% 73.16/46.00 tff(15329,plain,
% 73.16/46.00 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2)))),
% 73.16/46.00 inference(quant_inst,[status(thm)],[])).
% 73.16/46.00 tff(15330,plain,
% 73.16/46.00 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2)),
% 73.16/46.00 inference(modus_ponens,[status(thm)],[15329, 15328])).
% 73.16/46.00 tff(15331,plain,
% 73.16/46.00 ((~v127(constB99, bitIndex2)) | v130(constB99, bitIndex2)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15330, 470, 15274])).
% 73.16/46.00 tff(15332,plain,
% 73.16/46.00 (~v127(constB99, bitIndex2)),
% 73.16/46.00 inference(unit_resolution,[status(thm)],[15331, 15324])).
% 73.16/46.00 tff(15333,plain,
% 73.16/46.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2)))),
% 73.16/46.00 inference(rewrite,[status(thm)],[])).
% 73.16/46.00 tff(15334,plain,
% 73.16/46.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2)))),
% 73.16/46.00 inference(quant_inst,[status(thm)],[])).
% 73.16/46.01 tff(15335,plain,
% 73.16/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2))),
% 73.16/46.01 inference(modus_ponens,[status(thm)],[15334, 15333])).
% 73.16/46.01 tff(15336,plain,
% 73.16/46.01 (v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2))),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15335, 488, 15286])).
% 73.16/46.01 tff(15337,plain,
% 73.16/46.01 (~v129(constB100, bitIndex2)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15336, 15332])).
% 73.16/46.01 tff(15338,plain,
% 73.16/46.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15339,plain,
% 73.16/46.01 (((~v90(constB100, bitIndex2)) | (~v100(constB100)) | v129(constB100, bitIndex2)) <=> ((~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15340,plain,
% 73.16/46.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB100, bitIndex2)) | (~v100(constB100)) | v129(constB100, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100))))),
% 73.16/46.01 inference(monotonicity,[status(thm)],[15339])).
% 73.16/46.01 tff(15341,plain,
% 73.16/46.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB100, bitIndex2)) | (~v100(constB100)) | v129(constB100, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))),
% 73.16/46.01 inference(transitivity,[status(thm)],[15340, 15338])).
% 73.16/46.01 tff(15342,plain,
% 73.16/46.01 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB100, bitIndex2)) | (~v100(constB100)) | v129(constB100, bitIndex2))),
% 73.16/46.01 inference(quant_inst,[status(thm)],[])).
% 73.16/46.01 tff(15343,plain,
% 73.16/46.01 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100))),
% 73.16/46.01 inference(modus_ponens,[status(thm)],[15342, 15341])).
% 73.16/46.01 tff(15344,plain,
% 73.16/46.01 ((~v90(constB100, bitIndex2)) | (~v100(constB100))),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15343, 503, 15337])).
% 73.16/46.01 tff(15345,plain,
% 73.16/46.01 (~v90(constB100, bitIndex2)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15344, 15320])).
% 73.16/46.01 tff(15346,plain,
% 73.16/46.01 ((~v1(constB101)) <=> (~v1(constB101))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15347,axiom,(~v1(constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_101_1_1')).
% 73.16/46.01 tff(15348,plain,
% 73.16/46.01 (~v1(constB101)),
% 73.16/46.01 inference(modus_ponens,[status(thm)],[15347, 15346])).
% 73.16/46.01 tff(15349,plain,
% 73.16/46.01 (nextState(constB100, constB101) <=> nextState(constB100, constB101)),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15350,axiom,(nextState(constB100, constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_100_1')).
% 73.16/46.01 tff(15351,plain,
% 73.16/46.01 (nextState(constB100, constB101)),
% 73.16/46.01 inference(modus_ponens,[status(thm)],[15350, 15349])).
% 73.16/46.01 tff(15352,plain,
% 73.16/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15353,plain,
% 73.16/46.01 (((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101)) <=> (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15354,plain,
% 73.16/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101))))),
% 73.16/46.01 inference(monotonicity,[status(thm)],[15353])).
% 73.16/46.01 tff(15355,plain,
% 73.16/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 73.16/46.01 inference(transitivity,[status(thm)],[15354, 15352])).
% 73.16/46.01 tff(15356,plain,
% 73.16/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))),
% 73.16/46.01 inference(quant_inst,[status(thm)],[])).
% 73.16/46.01 tff(15357,plain,
% 73.16/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101))),
% 73.16/46.01 inference(modus_ponens,[status(thm)],[15356, 15355])).
% 73.16/46.01 tff(15358,plain,
% 73.16/46.01 (~v101(constB101)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15357, 56, 15351, 15348])).
% 73.16/46.01 tff(15359,plain,
% 73.16/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15360,plain,
% 73.16/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))),
% 73.16/46.01 inference(quant_inst,[status(thm)],[])).
% 73.16/46.01 tff(15361,plain,
% 73.16/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101))),
% 73.16/46.01 inference(modus_ponens,[status(thm)],[15360, 15359])).
% 73.16/46.01 tff(15362,plain,
% 73.16/46.01 (v101(constB101) | (~v100(constB101))),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15361, 73, 15351])).
% 73.16/46.01 tff(15363,plain,
% 73.16/46.01 (~v100(constB101)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15362, 15358])).
% 73.16/46.01 tff(15364,plain,
% 73.16/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15365,plain,
% 73.16/46.01 (((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2))) <=> (v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15366,plain,
% 73.16/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2))))),
% 73.16/46.01 inference(monotonicity,[status(thm)],[15365])).
% 73.16/46.01 tff(15367,plain,
% 73.16/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 73.16/46.01 inference(transitivity,[status(thm)],[15366, 15364])).
% 73.16/46.01 tff(15368,plain,
% 73.16/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 73.16/46.01 inference(quant_inst,[status(thm)],[])).
% 73.16/46.01 tff(15369,plain,
% 73.16/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2))),
% 73.16/46.01 inference(modus_ponens,[status(thm)],[15368, 15367])).
% 73.16/46.01 tff(15370,plain,
% 73.16/46.01 (v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2))),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15369, 88, 15351])).
% 73.16/46.01 tff(15371,plain,
% 73.16/46.01 (v90(constB100, bitIndex2) | (~v90(constB101, bitIndex2))),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15370, 15363])).
% 73.16/46.01 tff(15372,plain,
% 73.16/46.01 (~v90(constB101, bitIndex2)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15371, 15345])).
% 73.16/46.01 tff(15373,plain,
% 73.16/46.01 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB99)) | v130(constB99, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB99)) | v130(constB99, bitIndex1))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15374,plain,
% 73.16/46.01 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB99)) | v130(constB99, bitIndex1))),
% 73.16/46.01 inference(quant_inst,[status(thm)],[])).
% 73.16/46.01 tff(15375,plain,
% 73.16/46.01 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB99)) | v130(constB99, bitIndex1)),
% 73.16/46.01 inference(modus_ponens,[status(thm)],[15374, 15373])).
% 73.16/46.01 tff(15376,plain,
% 73.16/46.01 (v130(constB99, bitIndex1)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15375, 810, 15246])).
% 73.16/46.01 tff(15377,plain,
% 73.16/46.01 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15378,plain,
% 73.16/46.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1))),
% 73.16/46.01 inference(quant_inst,[status(thm)],[])).
% 73.16/46.01 tff(15379,plain,
% 73.16/46.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1)),
% 73.16/46.01 inference(modus_ponens,[status(thm)],[15378, 15377])).
% 73.16/46.01 tff(15380,plain,
% 73.16/46.01 ((~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15379, 824, 15274])).
% 73.16/46.01 tff(15381,plain,
% 73.16/46.01 (v127(constB99, bitIndex1)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15380, 15376])).
% 73.16/46.01 tff(15382,plain,
% 73.16/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15383,plain,
% 73.16/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1))),
% 73.16/46.01 inference(quant_inst,[status(thm)],[])).
% 73.16/46.01 tff(15384,plain,
% 73.16/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1)),
% 73.16/46.01 inference(modus_ponens,[status(thm)],[15383, 15382])).
% 73.16/46.01 tff(15385,plain,
% 73.16/46.01 ((~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15384, 839, 15286])).
% 73.16/46.01 tff(15386,plain,
% 73.16/46.01 (v129(constB100, bitIndex1)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15385, 15381])).
% 73.16/46.01 tff(15387,plain,
% 73.16/46.01 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15388,plain,
% 73.16/46.01 ((v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1))) <=> (v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15389,plain,
% 73.16/46.01 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100))))),
% 73.16/46.01 inference(monotonicity,[status(thm)],[15388])).
% 73.16/46.01 tff(15390,plain,
% 73.16/46.01 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))),
% 73.16/46.01 inference(transitivity,[status(thm)],[15389, 15387])).
% 73.16/46.01 tff(15391,plain,
% 73.16/46.01 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1)))),
% 73.16/46.01 inference(quant_inst,[status(thm)],[])).
% 73.16/46.01 tff(15392,plain,
% 73.16/46.01 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100))),
% 73.16/46.01 inference(modus_ponens,[status(thm)],[15391, 15390])).
% 73.16/46.01 tff(15393,plain,
% 73.16/46.01 (v90(constB100, bitIndex1) | (~v100(constB100))),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15392, 854, 15386])).
% 73.16/46.01 tff(15394,plain,
% 73.16/46.01 (v90(constB100, bitIndex1)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15393, 15320])).
% 73.16/46.01 tff(15395,plain,
% 73.16/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15396,plain,
% 73.16/46.01 (((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1)) <=> ((~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15397,plain,
% 73.16/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1)))),
% 73.16/46.01 inference(monotonicity,[status(thm)],[15396])).
% 73.16/46.01 tff(15398,plain,
% 73.16/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))),
% 73.16/46.01 inference(transitivity,[status(thm)],[15397, 15395])).
% 73.16/46.01 tff(15399,plain,
% 73.16/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1))),
% 73.16/46.01 inference(quant_inst,[status(thm)],[])).
% 73.16/46.01 tff(15400,plain,
% 73.16/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1)),
% 73.16/46.01 inference(modus_ponens,[status(thm)],[15399, 15398])).
% 73.16/46.01 tff(15401,plain,
% 73.16/46.01 ((~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15400, 872, 15351])).
% 73.16/46.01 tff(15402,plain,
% 73.16/46.01 ((~v90(constB100, bitIndex1)) | v90(constB101, bitIndex1)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15401, 15363])).
% 73.16/46.01 tff(15403,plain,
% 73.16/46.01 (v90(constB101, bitIndex1)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15402, 15394])).
% 73.16/46.01 tff(15404,plain,
% 73.16/46.01 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB99)) | (~v130(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB99)) | (~v130(constB99, bitIndex0)))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15405,plain,
% 73.16/46.01 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB99)) | (~v130(constB99, bitIndex0)))),
% 73.16/46.01 inference(quant_inst,[status(thm)],[])).
% 73.16/46.01 tff(15406,plain,
% 73.16/46.01 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB99)) | (~v130(constB99, bitIndex0))),
% 73.16/46.01 inference(modus_ponens,[status(thm)],[15405, 15404])).
% 73.16/46.01 tff(15407,plain,
% 73.16/46.01 (~v130(constB99, bitIndex0)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15406, 891, 15246])).
% 73.16/46.01 tff(15408,plain,
% 73.16/46.01 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15409,plain,
% 73.16/46.01 ((v26(constB99) | v130(constB99, bitIndex0) | (~v127(constB99, bitIndex0))) <=> ((~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15410,plain,
% 73.16/46.01 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB99) | v130(constB99, bitIndex0) | (~v127(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0)))),
% 73.16/46.01 inference(monotonicity,[status(thm)],[15409])).
% 73.16/46.01 tff(15411,plain,
% 73.16/46.01 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB99) | v130(constB99, bitIndex0) | (~v127(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0))),
% 73.16/46.01 inference(transitivity,[status(thm)],[15410, 15408])).
% 73.16/46.01 tff(15412,plain,
% 73.16/46.01 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB99) | v130(constB99, bitIndex0) | (~v127(constB99, bitIndex0)))),
% 73.16/46.01 inference(quant_inst,[status(thm)],[])).
% 73.16/46.01 tff(15413,plain,
% 73.16/46.01 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB99, bitIndex0)) | v26(constB99) | v130(constB99, bitIndex0)),
% 73.16/46.01 inference(modus_ponens,[status(thm)],[15412, 15411])).
% 73.16/46.01 tff(15414,plain,
% 73.16/46.01 ((~v127(constB99, bitIndex0)) | v130(constB99, bitIndex0)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15413, 905, 15274])).
% 73.16/46.01 tff(15415,plain,
% 73.16/46.01 (~v127(constB99, bitIndex0)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15414, 15407])).
% 73.16/46.01 tff(15416,plain,
% 73.16/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0)))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15417,plain,
% 73.16/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0)))),
% 73.16/46.01 inference(quant_inst,[status(thm)],[])).
% 73.16/46.01 tff(15418,plain,
% 73.16/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0))),
% 73.16/46.01 inference(modus_ponens,[status(thm)],[15417, 15416])).
% 73.16/46.01 tff(15419,plain,
% 73.16/46.01 (v127(constB99, bitIndex0) | (~v129(constB100, bitIndex0))),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15418, 923, 15286])).
% 73.16/46.01 tff(15420,plain,
% 73.16/46.01 (~v129(constB100, bitIndex0)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15419, 15415])).
% 73.16/46.01 tff(15421,plain,
% 73.16/46.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100)))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15422,plain,
% 73.16/46.01 (((~v90(constB100, bitIndex0)) | (~v100(constB100)) | v129(constB100, bitIndex0)) <=> ((~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100)))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15423,plain,
% 73.16/46.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | (~v100(constB100)) | v129(constB100, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100))))),
% 73.16/46.01 inference(monotonicity,[status(thm)],[15422])).
% 73.16/46.01 tff(15424,plain,
% 73.16/46.01 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | (~v100(constB100)) | v129(constB100, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100)))),
% 73.16/46.01 inference(transitivity,[status(thm)],[15423, 15421])).
% 73.16/46.01 tff(15425,plain,
% 73.16/46.01 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB100, bitIndex0)) | (~v100(constB100)) | v129(constB100, bitIndex0))),
% 73.16/46.01 inference(quant_inst,[status(thm)],[])).
% 73.16/46.01 tff(15426,plain,
% 73.16/46.01 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0) | (~v100(constB100))),
% 73.16/46.01 inference(modus_ponens,[status(thm)],[15425, 15424])).
% 73.16/46.01 tff(15427,plain,
% 73.16/46.01 ((~v90(constB100, bitIndex0)) | (~v100(constB100))),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15426, 938, 15420])).
% 73.16/46.01 tff(15428,plain,
% 73.16/46.01 (~v90(constB100, bitIndex0)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15427, 15320])).
% 73.16/46.01 tff(15429,plain,
% 73.16/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex0)))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15430,plain,
% 73.16/46.01 (((~nextState(constB100, constB101)) | v90(constB100, bitIndex0) | v100(constB101) | (~v90(constB101, bitIndex0))) <=> (v90(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex0)))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15431,plain,
% 73.16/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex0) | v100(constB101) | (~v90(constB101, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex0))))),
% 73.16/46.01 inference(monotonicity,[status(thm)],[15430])).
% 73.16/46.01 tff(15432,plain,
% 73.16/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex0) | v100(constB101) | (~v90(constB101, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex0)))),
% 73.16/46.01 inference(transitivity,[status(thm)],[15431, 15429])).
% 73.16/46.01 tff(15433,plain,
% 73.16/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB100, constB101)) | v90(constB100, bitIndex0) | v100(constB101) | (~v90(constB101, bitIndex0)))),
% 73.16/46.01 inference(quant_inst,[status(thm)],[])).
% 73.16/46.01 tff(15434,plain,
% 73.16/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex0))),
% 73.16/46.01 inference(modus_ponens,[status(thm)],[15433, 15432])).
% 73.16/46.01 tff(15435,plain,
% 73.16/46.01 (v90(constB100, bitIndex0) | v100(constB101) | (~v90(constB101, bitIndex0))),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15434, 130, 15351])).
% 73.16/46.01 tff(15436,plain,
% 73.16/46.01 (v90(constB100, bitIndex0) | (~v90(constB101, bitIndex0))),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15435, 15363])).
% 73.16/46.01 tff(15437,plain,
% 73.16/46.01 (~v90(constB101, bitIndex0)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15436, 15428])).
% 73.16/46.01 tff(15438,plain,
% 73.16/46.01 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v121(constB101))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v121(constB101))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15439,plain,
% 73.16/46.01 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v121(constB101))),
% 73.16/46.01 inference(quant_inst,[status(thm)],[])).
% 73.16/46.01 tff(15440,plain,
% 73.16/46.01 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v121(constB101)),
% 73.16/46.01 inference(modus_ponens,[status(thm)],[15439, 15438])).
% 73.16/46.01 tff(15441,plain,
% 73.16/46.01 (v121(constB101)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15440, 965, 15437, 15403, 15372])).
% 73.16/46.01 tff(15442,plain,
% 73.16/46.01 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB101)) | v130(constB101, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB101)) | v130(constB101, bitIndex1))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15443,plain,
% 73.16/46.01 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB101)) | v130(constB101, bitIndex1))),
% 73.16/46.01 inference(quant_inst,[status(thm)],[])).
% 73.16/46.01 tff(15444,plain,
% 73.16/46.01 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB101)) | v130(constB101, bitIndex1)),
% 73.16/46.01 inference(modus_ponens,[status(thm)],[15443, 15442])).
% 73.16/46.01 tff(15445,plain,
% 73.16/46.01 (v130(constB101, bitIndex1)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15444, 1121, 15441])).
% 73.16/46.01 tff(15446,assumption,(v26(constB100)), introduced(assumption)).
% 73.16/46.01 tff(15447,plain,
% 73.16/46.01 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB100))),
% 73.16/46.01 inference(quant_inst,[status(thm)],[])).
% 73.16/46.01 tff(15448,plain,
% 73.16/46.01 ($false),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15447, 37, 15446])).
% 73.16/46.01 tff(15449,plain,(~v26(constB100)), inference(lemma,lemma(discharge,[]))).
% 73.16/46.01 tff(15450,plain,
% 73.16/46.01 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB100, constB101)) | v26(constB100) | (~v66(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB100, constB101)) | v26(constB100) | (~v66(constB101)))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15451,plain,
% 73.16/46.01 ((v26(constB100) | (~nextState(constB100, constB101)) | (~v66(constB101))) <=> ((~nextState(constB100, constB101)) | v26(constB100) | (~v66(constB101)))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15452,plain,
% 73.16/46.01 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB100) | (~nextState(constB100, constB101)) | (~v66(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB100, constB101)) | v26(constB100) | (~v66(constB101))))),
% 73.16/46.01 inference(monotonicity,[status(thm)],[15451])).
% 73.16/46.01 tff(15453,plain,
% 73.16/46.01 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB100) | (~nextState(constB100, constB101)) | (~v66(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB100, constB101)) | v26(constB100) | (~v66(constB101)))),
% 73.16/46.01 inference(transitivity,[status(thm)],[15452, 15450])).
% 73.16/46.01 tff(15454,plain,
% 73.16/46.01 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB100) | (~nextState(constB100, constB101)) | (~v66(constB101)))),
% 73.16/46.01 inference(quant_inst,[status(thm)],[])).
% 73.16/46.01 tff(15455,plain,
% 73.16/46.01 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB100, constB101)) | v26(constB100) | (~v66(constB101))),
% 73.16/46.01 inference(modus_ponens,[status(thm)],[15454, 15453])).
% 73.16/46.01 tff(15456,plain,
% 73.16/46.01 (v26(constB100) | (~v66(constB101))),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15455, 12535, 15351])).
% 73.16/46.01 tff(15457,plain,
% 73.16/46.01 (~v66(constB101)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15456, 15449])).
% 73.16/46.01 tff(15458,assumption,(v18(constB102)), introduced(assumption)).
% 73.16/46.01 tff(15459,plain,
% 73.16/46.01 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB102))),
% 73.16/46.01 inference(quant_inst,[status(thm)],[])).
% 73.16/46.01 tff(15460,plain,
% 73.16/46.01 ($false),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15459, 12551, 15458])).
% 73.16/46.01 tff(15461,plain,(~v18(constB102)), inference(lemma,lemma(discharge,[]))).
% 73.16/46.01 tff(15462,plain,
% 73.16/46.01 (v1(constB102) <=> v1(constB102)),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15463,axiom,(v1(constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_102_1')).
% 73.16/46.01 tff(15464,plain,
% 73.16/46.01 (v1(constB102)),
% 73.16/46.01 inference(modus_ponens,[status(thm)],[15463, 15462])).
% 73.16/46.01 tff(15465,plain,
% 73.16/46.01 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102)))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15466,plain,
% 73.16/46.01 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))),
% 73.16/46.01 inference(quant_inst,[status(thm)],[])).
% 73.16/46.01 tff(15467,plain,
% 73.16/46.01 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102))),
% 73.16/46.01 inference(modus_ponens,[status(thm)],[15466, 15465])).
% 73.16/46.01 tff(15468,plain,
% 73.16/46.01 (v22(constB102)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15467, 12564, 15464])).
% 73.16/46.01 tff(15469,plain,
% 73.16/46.01 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB102)) | (~v22(constB102)) | v18(constB102))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB102)) | (~v22(constB102)) | v18(constB102))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15470,plain,
% 73.16/46.01 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB102)) | (~v22(constB102)) | v18(constB102))),
% 73.16/46.01 inference(quant_inst,[status(thm)],[])).
% 73.16/46.01 tff(15471,plain,
% 73.16/46.01 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB102)) | (~v22(constB102)) | v18(constB102)),
% 73.16/46.01 inference(modus_ponens,[status(thm)],[15470, 15469])).
% 73.16/46.01 tff(15472,plain,
% 73.16/46.01 ((~v19(constB102)) | v18(constB102)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15471, 12578, 15468])).
% 73.16/46.01 tff(15473,plain,
% 73.16/46.01 (~v19(constB102)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15472, 15461])).
% 73.16/46.01 tff(15474,plain,
% 73.16/46.01 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15475,plain,
% 73.16/46.01 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))),
% 73.16/46.01 inference(quant_inst,[status(thm)],[])).
% 73.16/46.01 tff(15476,plain,
% 73.16/46.01 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102)),
% 73.16/46.01 inference(modus_ponens,[status(thm)],[15475, 15474])).
% 73.16/46.01 tff(15477,plain,
% 73.16/46.01 (v13(constB102)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15476, 12593, 15473])).
% 73.16/46.01 tff(15478,plain,
% 73.16/46.01 (nextState(constB101, constB102) <=> nextState(constB101, constB102)),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15479,axiom,(nextState(constB101, constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_101_1')).
% 73.16/46.01 tff(15480,plain,
% 73.16/46.01 (nextState(constB101, constB102)),
% 73.16/46.01 inference(modus_ponens,[status(thm)],[15479, 15478])).
% 73.16/46.01 tff(15481,plain,
% 73.16/46.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB101, constB102)) | (~v13(constB102)) | v9(constB101))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB101, constB102)) | (~v13(constB102)) | v9(constB101))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15482,plain,
% 73.16/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB101, constB102)) | (~v13(constB102)) | v9(constB101))),
% 73.16/46.01 inference(quant_inst,[status(thm)],[])).
% 73.16/46.01 tff(15483,plain,
% 73.16/46.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB101, constB102)) | (~v13(constB102)) | v9(constB101)),
% 73.16/46.01 inference(modus_ponens,[status(thm)],[15482, 15481])).
% 73.16/46.01 tff(15484,plain,
% 73.16/46.01 ((~v13(constB102)) | v9(constB101)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15483, 12610, 15480])).
% 73.16/46.01 tff(15485,plain,
% 73.16/46.01 (v9(constB101)),
% 73.16/46.01 inference(unit_resolution,[status(thm)],[15484, 15477])).
% 73.16/46.01 tff(15486,plain,
% 73.16/46.01 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB101) | v64(constB101) | (~v9(constB101)))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB101) | v64(constB101) | (~v9(constB101)))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15487,plain,
% 73.16/46.01 ((v1(constB101) | (~v9(constB101)) | v64(constB101)) <=> (v1(constB101) | v64(constB101) | (~v9(constB101)))),
% 73.16/46.01 inference(rewrite,[status(thm)],[])).
% 73.16/46.01 tff(15488,plain,
% 73.16/46.01 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v64(constB101))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB101) | v64(constB101) | (~v9(constB101))))),
% 73.16/46.01 inference(monotonicity,[status(thm)],[15487])).
% 73.16/46.01 tff(15489,plain,
% 73.16/46.01 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v64(constB101))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB101) | v64(constB101) | (~v9(constB101)))),
% 73.16/46.02 inference(transitivity,[status(thm)],[15488, 15486])).
% 73.16/46.02 tff(15490,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v64(constB101))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15491,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB101) | v64(constB101) | (~v9(constB101))),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15490, 15489])).
% 73.16/46.02 tff(15492,plain,
% 73.16/46.02 (v64(constB101) | (~v9(constB101))),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15491, 12625, 15348])).
% 73.16/46.02 tff(15493,plain,
% 73.16/46.02 (v64(constB101)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15492, 15485])).
% 73.16/46.02 tff(15494,plain,
% 73.16/46.02 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB101)) | v66(constB101) | (~v64(constB101)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB101)) | v66(constB101) | (~v64(constB101)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15495,plain,
% 73.16/46.02 (((~v64(constB101)) | (~v60(constB101)) | v66(constB101)) <=> ((~v60(constB101)) | v66(constB101) | (~v64(constB101)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15496,plain,
% 73.16/46.02 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB101)) | (~v60(constB101)) | v66(constB101))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB101)) | v66(constB101) | (~v64(constB101))))),
% 73.16/46.02 inference(monotonicity,[status(thm)],[15495])).
% 73.16/46.02 tff(15497,plain,
% 73.16/46.02 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB101)) | (~v60(constB101)) | v66(constB101))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB101)) | v66(constB101) | (~v64(constB101)))),
% 73.16/46.02 inference(transitivity,[status(thm)],[15496, 15494])).
% 73.16/46.02 tff(15498,plain,
% 73.16/46.02 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB101)) | (~v60(constB101)) | v66(constB101))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15499,plain,
% 73.16/46.02 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB101)) | v66(constB101) | (~v64(constB101))),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15498, 15497])).
% 73.16/46.02 tff(15500,plain,
% 73.16/46.02 ((~v60(constB101)) | v66(constB101)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15499, 12643, 15493])).
% 73.16/46.02 tff(15501,plain,
% 73.16/46.02 (~v60(constB101)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15500, 15457])).
% 73.16/46.02 tff(15502,assumption,(v71(constB101)), introduced(assumption)).
% 73.16/46.02 tff(15503,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (~v71(VarCurr))) | (~v71(constB101))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15504,plain,
% 73.16/46.02 ($false),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15503, 12659, 15502])).
% 73.16/46.02 tff(15505,plain,(~v71(constB101)), inference(lemma,lemma(discharge,[]))).
% 73.16/46.02 tff(15506,plain,
% 73.16/46.02 (((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB101) | (~v9(constB101)))) <=> ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB101) | (~v9(constB101)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15507,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB101) | (~v9(constB101)))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15508,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB101) | (~v9(constB101))),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15507, 15506])).
% 73.16/46.02 tff(15509,plain,
% 73.16/46.02 (v80(constB101)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15508, 12669, 15485])).
% 73.16/46.02 tff(15510,plain,
% 73.16/46.02 (((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB101) | v78(constB101))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB101) | v78(constB101))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15511,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB101) | v78(constB101))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15512,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB101) | v78(constB101)),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15511, 15510])).
% 73.16/46.02 tff(15513,plain,
% 73.16/46.02 (v78(constB101)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15512, 12683, 15348])).
% 73.16/46.02 tff(15514,plain,
% 73.16/46.02 (((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB101)) | (~v80(constB101)) | v76(constB101))) <=> ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB101)) | (~v80(constB101)) | v76(constB101))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15515,plain,
% 73.16/46.02 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB101)) | (~v80(constB101)) | v76(constB101))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15516,plain,
% 73.16/46.02 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB101)) | (~v80(constB101)) | v76(constB101)),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15515, 15514])).
% 73.16/46.02 tff(15517,plain,
% 73.16/46.02 ((~v80(constB101)) | v76(constB101)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15516, 12697, 15513])).
% 73.16/46.02 tff(15518,plain,
% 73.16/46.02 (v76(constB101)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15517, 15509])).
% 73.16/46.02 tff(15519,plain,
% 73.16/46.02 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB101)) | (~v76(constB101)) | v71(constB101))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB101)) | (~v76(constB101)) | v71(constB101))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15520,plain,
% 73.16/46.02 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB101)) | (~v76(constB101)) | v71(constB101))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15521,plain,
% 73.16/46.02 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB101)) | (~v76(constB101)) | v71(constB101)),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15520, 15519])).
% 73.16/46.02 tff(15522,plain,
% 73.16/46.02 ((~v72(constB101)) | v71(constB101)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15521, 12712, 15518])).
% 73.16/46.02 tff(15523,plain,
% 73.16/46.02 (~v72(constB101)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15522, 15505])).
% 73.16/46.02 tff(15524,plain,
% 73.16/46.02 (((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB101) | v72(constB101) | v74(constB101))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB101) | v72(constB101) | v74(constB101))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15525,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB101) | v72(constB101) | v74(constB101))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15526,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB101) | v72(constB101) | v74(constB101)),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15525, 15524])).
% 73.16/46.02 tff(15527,plain,
% 73.16/46.02 (v72(constB101) | v74(constB101)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15526, 12730, 15348])).
% 73.16/46.02 tff(15528,plain,
% 73.16/46.02 (v74(constB101)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15527, 15523])).
% 73.16/46.02 tff(15529,plain,
% 73.16/46.02 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB101) | (~v26(constB101)) | (~v74(constB101)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB101) | (~v26(constB101)) | (~v74(constB101)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15530,plain,
% 73.16/46.02 (((~v26(constB101)) | v60(constB101) | (~v74(constB101))) <=> (v60(constB101) | (~v26(constB101)) | (~v74(constB101)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15531,plain,
% 73.16/46.02 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB101)) | v60(constB101) | (~v74(constB101)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB101) | (~v26(constB101)) | (~v74(constB101))))),
% 73.16/46.02 inference(monotonicity,[status(thm)],[15530])).
% 73.16/46.02 tff(15532,plain,
% 73.16/46.02 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB101)) | v60(constB101) | (~v74(constB101)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB101) | (~v26(constB101)) | (~v74(constB101)))),
% 73.16/46.02 inference(transitivity,[status(thm)],[15531, 15529])).
% 73.16/46.02 tff(15533,plain,
% 73.16/46.02 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB101)) | v60(constB101) | (~v74(constB101)))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15534,plain,
% 73.16/46.02 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB101) | (~v26(constB101)) | (~v74(constB101))),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15533, 15532])).
% 73.16/46.02 tff(15535,plain,
% 73.16/46.02 (v60(constB101) | (~v26(constB101))),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15534, 12745, 15528])).
% 73.16/46.02 tff(15536,plain,
% 73.16/46.02 (~v26(constB101)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15535, 15501])).
% 73.16/46.02 tff(15537,plain,
% 73.16/46.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB101) | (~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB101) | (~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15538,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB101) | (~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15539,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB101) | (~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1)),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15538, 15537])).
% 73.16/46.02 tff(15540,plain,
% 73.16/46.02 ((~v130(constB101, bitIndex1)) | v127(constB101, bitIndex1)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15539, 824, 15536])).
% 73.16/46.02 tff(15541,plain,
% 73.16/46.02 (v127(constB101, bitIndex1)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15540, 15445])).
% 73.16/46.02 tff(15542,plain,
% 73.16/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15543,plain,
% 73.16/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15544,plain,
% 73.16/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1)),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15543, 15542])).
% 73.16/46.02 tff(15545,plain,
% 73.16/46.02 ((~v127(constB101, bitIndex1)) | v129(constB102, bitIndex1)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15544, 839, 15480])).
% 73.16/46.02 tff(15546,plain,
% 73.16/46.02 (v129(constB102, bitIndex1)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15545, 15541])).
% 73.16/46.02 tff(15547,assumption,(v121(constB101)), introduced(assumption)).
% 73.16/46.02 tff(15548,plain,
% 73.16/46.02 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB101)) | v130(constB101, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB101)) | v130(constB101, bitIndex0))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15549,plain,
% 73.16/46.02 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB101)) | v130(constB101, bitIndex0))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15550,plain,
% 73.16/46.02 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB101)) | v130(constB101, bitIndex0)),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15549, 15548])).
% 73.16/46.02 tff(15551,plain,
% 73.16/46.02 (v130(constB101, bitIndex0)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15550, 1162, 15547])).
% 73.16/46.02 tff(15552,plain,
% 73.16/46.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB101) | (~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB101) | (~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15553,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB101) | (~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15554,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB101) | (~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0)),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15553, 15552])).
% 73.16/46.02 tff(15555,plain,
% 73.16/46.02 ((~v130(constB101, bitIndex0)) | v127(constB101, bitIndex0)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15554, 179, 15536])).
% 73.16/46.02 tff(15556,plain,
% 73.16/46.02 (v127(constB101, bitIndex0)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15555, 15551])).
% 73.16/46.02 tff(15557,plain,
% 73.16/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15558,plain,
% 73.16/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15559,plain,
% 73.16/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0)),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15558, 15557])).
% 73.16/46.02 tff(15560,plain,
% 73.16/46.02 ((~v127(constB101, bitIndex0)) | v129(constB102, bitIndex0)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15559, 197, 15480])).
% 73.16/46.02 tff(15561,plain,
% 73.16/46.02 (v129(constB102, bitIndex0)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15560, 15556])).
% 73.16/46.02 tff(15562,assumption,(~v90(constB102, bitIndex0)), introduced(assumption)).
% 73.16/46.02 tff(15563,plain,
% 73.16/46.02 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15564,plain,
% 73.16/46.02 ((v90(constB102, bitIndex0) | (~v100(constB102)) | (~v129(constB102, bitIndex0))) <=> (v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15565,plain,
% 73.16/46.02 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~v100(constB102)) | (~v129(constB102, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102))))),
% 73.16/46.02 inference(monotonicity,[status(thm)],[15564])).
% 73.16/46.02 tff(15566,plain,
% 73.16/46.02 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~v100(constB102)) | (~v129(constB102, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102)))),
% 73.16/46.02 inference(transitivity,[status(thm)],[15565, 15563])).
% 73.16/46.02 tff(15567,plain,
% 73.16/46.02 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB102, bitIndex0) | (~v100(constB102)) | (~v129(constB102, bitIndex0)))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15568,plain,
% 73.16/46.02 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0)) | (~v100(constB102))),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15567, 15566])).
% 73.16/46.02 tff(15569,plain,
% 73.16/46.02 ((~v129(constB102, bitIndex0)) | (~v100(constB102))),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15568, 401, 15562])).
% 73.16/46.02 tff(15570,plain,
% 73.16/46.02 (~v100(constB102)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15569, 15561])).
% 73.16/46.02 tff(15571,plain,
% 73.16/46.02 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15572,plain,
% 73.16/46.02 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15573,plain,
% 73.16/46.02 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102))),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15572, 15571])).
% 73.16/46.02 tff(15574,plain,
% 73.16/46.02 (~v104(constB102)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15573, 335, 15480, 15348])).
% 73.16/46.02 tff(15575,plain,
% 73.16/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15576,plain,
% 73.16/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15577,plain,
% 73.16/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v102(constB102) | v104(constB102)),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15576, 15575])).
% 73.16/46.02 tff(15578,plain,
% 73.16/46.02 (v102(constB102) | v104(constB102)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15577, 349, 15480])).
% 73.16/46.02 tff(15579,plain,
% 73.16/46.02 (v102(constB102)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15578, 15574])).
% 73.16/46.02 tff(15580,plain,
% 73.16/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15581,plain,
% 73.16/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15582,plain,
% 73.16/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102))),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15581, 15580])).
% 73.16/46.02 tff(15583,plain,
% 73.16/46.02 (v101(constB102) | (~v102(constB102))),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15582, 367, 15480, 15464])).
% 73.16/46.02 tff(15584,plain,
% 73.16/46.02 (v101(constB102)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15583, 15579])).
% 73.16/46.02 tff(15585,plain,
% 73.16/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15586,plain,
% 73.16/46.02 (((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102)) <=> ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15587,plain,
% 73.16/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102))))),
% 73.16/46.02 inference(monotonicity,[status(thm)],[15586])).
% 73.16/46.02 tff(15588,plain,
% 73.16/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 73.16/46.02 inference(transitivity,[status(thm)],[15587, 15585])).
% 73.16/46.02 tff(15589,plain,
% 73.16/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15590,plain,
% 73.16/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102))),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15589, 15588])).
% 73.16/46.02 tff(15591,plain,
% 73.16/46.02 (v100(constB102) | (~v101(constB102)) | (~v110(constB102))),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15590, 382, 15480])).
% 73.16/46.02 tff(15592,plain,
% 73.16/46.02 (v100(constB102) | (~v110(constB102))),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15591, 15584])).
% 73.16/46.02 tff(15593,plain,
% 73.16/46.02 (~v110(constB102)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15592, 15570])).
% 73.16/46.02 tff(15594,plain,
% 73.16/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15595,plain,
% 73.16/46.02 (((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102)) <=> ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15596,plain,
% 73.16/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101))))),
% 73.16/46.02 inference(monotonicity,[status(thm)],[15595])).
% 73.16/46.02 tff(15597,plain,
% 73.16/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 73.16/46.02 inference(transitivity,[status(thm)],[15596, 15594])).
% 73.16/46.02 tff(15598,plain,
% 73.16/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15599,plain,
% 73.16/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101))),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15598, 15597])).
% 73.16/46.02 tff(15600,plain,
% 73.16/46.02 (v110(constB102) | (~v108(constB101))),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15599, 317, 15480])).
% 73.16/46.02 tff(15601,plain,
% 73.16/46.02 (~v108(constB101)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15600, 15593])).
% 73.16/46.02 tff(15602,plain,
% 73.16/46.02 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB101) | (~v112(constB101)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB101) | (~v112(constB101)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15603,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB101) | (~v112(constB101)))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15604,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB101) | (~v112(constB101))),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15603, 15602])).
% 73.16/46.02 tff(15605,plain,
% 73.16/46.02 (~v112(constB101)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15604, 210, 15601])).
% 73.16/46.02 tff(15606,plain,
% 73.16/46.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | v112(constB101) | (~v113(constB101)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | v112(constB101) | (~v113(constB101)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15607,plain,
% 73.16/46.02 ((v26(constB101) | (~v113(constB101)) | v112(constB101)) <=> (v26(constB101) | v112(constB101) | (~v113(constB101)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15608,plain,
% 73.16/46.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | v112(constB101) | (~v113(constB101))))),
% 73.16/46.02 inference(monotonicity,[status(thm)],[15607])).
% 73.16/46.02 tff(15609,plain,
% 73.16/46.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | v112(constB101) | (~v113(constB101)))),
% 73.16/46.02 inference(transitivity,[status(thm)],[15608, 15606])).
% 73.16/46.02 tff(15610,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15611,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | v112(constB101) | (~v113(constB101))),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15610, 15609])).
% 73.16/46.02 tff(15612,plain,
% 73.16/46.02 (v112(constB101) | (~v113(constB101))),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15611, 301, 15536])).
% 73.16/46.02 tff(15613,plain,
% 73.16/46.02 (~v113(constB101)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15612, 15605])).
% 73.16/46.02 tff(15614,plain,
% 73.16/46.02 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB101) | (~v114(constB101)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB101) | (~v114(constB101)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15615,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB101) | (~v114(constB101)))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15616,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB101) | (~v114(constB101))),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15615, 15614])).
% 73.16/46.02 tff(15617,plain,
% 73.16/46.02 (~v114(constB101)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15616, 287, 15613])).
% 73.16/46.02 tff(15618,plain,
% 73.16/46.02 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB101) | (~v121(constB101)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB101) | (~v121(constB101)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15619,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB101) | (~v121(constB101)))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15620,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB101) | (~v121(constB101))),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15619, 15618])).
% 73.16/46.02 tff(15621,plain,
% 73.16/46.02 (v117(constB101)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15620, 976, 15547])).
% 73.16/46.02 tff(15622,plain,
% 73.16/46.02 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB101) | (~v117(constB101)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB101) | (~v117(constB101)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15623,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB101) | (~v117(constB101)))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15624,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB101) | (~v117(constB101))),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15623, 15622])).
% 73.16/46.02 tff(15625,plain,
% 73.16/46.02 (v116(constB101)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15624, 254, 15621])).
% 73.16/46.02 tff(15626,plain,
% 73.16/46.02 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB101) | (~v116(constB101)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB101) | (~v116(constB101)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15627,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB101) | (~v116(constB101)))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15628,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB101) | (~v116(constB101))),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15627, 15626])).
% 73.16/46.02 tff(15629,plain,
% 73.16/46.02 (v115(constB101)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15628, 265, 15625])).
% 73.16/46.02 tff(15630,plain,
% 73.16/46.02 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB101) | (~v115(constB101)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB101) | (~v115(constB101)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15631,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB101) | (~v115(constB101)))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15632,plain,
% 73.16/46.02 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB101) | (~v115(constB101))),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15631, 15630])).
% 73.16/46.02 tff(15633,plain,
% 73.16/46.02 ($false),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15632, 276, 15629, 15617])).
% 73.16/46.02 tff(15634,plain,((~v121(constB101)) | v90(constB102, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.16/46.02 tff(15635,plain,
% 73.16/46.02 (v90(constB102, bitIndex0)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15634, 15441])).
% 73.16/46.02 tff(15636,plain,
% 73.16/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB101, bitIndex0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB101, bitIndex0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex0)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15637,plain,
% 73.16/46.02 (((~nextState(constB101, constB102)) | v90(constB101, bitIndex0) | v100(constB102) | (~v90(constB102, bitIndex0))) <=> (v90(constB101, bitIndex0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex0)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15638,plain,
% 73.16/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB101, constB102)) | v90(constB101, bitIndex0) | v100(constB102) | (~v90(constB102, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB101, bitIndex0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex0))))),
% 73.16/46.02 inference(monotonicity,[status(thm)],[15637])).
% 73.16/46.02 tff(15639,plain,
% 73.16/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB101, constB102)) | v90(constB101, bitIndex0) | v100(constB102) | (~v90(constB102, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB101, bitIndex0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex0)))),
% 73.16/46.02 inference(transitivity,[status(thm)],[15638, 15636])).
% 73.16/46.02 tff(15640,plain,
% 73.16/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB101, constB102)) | v90(constB101, bitIndex0) | v100(constB102) | (~v90(constB102, bitIndex0)))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15641,plain,
% 73.16/46.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB101, bitIndex0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, bitIndex0))),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15640, 15639])).
% 73.16/46.02 tff(15642,plain,
% 73.16/46.02 (v90(constB101, bitIndex0) | v100(constB102) | (~v90(constB102, bitIndex0))),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15641, 130, 15480])).
% 73.16/46.02 tff(15643,plain,
% 73.16/46.02 (v100(constB102)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15642, 15635, 15437])).
% 73.16/46.02 tff(15644,plain,
% 73.16/46.02 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15645,plain,
% 73.16/46.02 ((v90(constB102, bitIndex1) | (~v100(constB102)) | (~v129(constB102, bitIndex1))) <=> (v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15646,plain,
% 73.16/46.02 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~v100(constB102)) | (~v129(constB102, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102))))),
% 73.16/46.02 inference(monotonicity,[status(thm)],[15645])).
% 73.16/46.02 tff(15647,plain,
% 73.16/46.02 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~v100(constB102)) | (~v129(constB102, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102)))),
% 73.16/46.02 inference(transitivity,[status(thm)],[15646, 15644])).
% 73.16/46.02 tff(15648,plain,
% 73.16/46.02 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB102, bitIndex1) | (~v100(constB102)) | (~v129(constB102, bitIndex1)))),
% 73.16/46.02 inference(quant_inst,[status(thm)],[])).
% 73.16/46.02 tff(15649,plain,
% 73.16/46.02 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1)) | (~v100(constB102))),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15648, 15647])).
% 73.16/46.02 tff(15650,plain,
% 73.16/46.02 (v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1))),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15649, 854, 15643])).
% 73.16/46.02 tff(15651,plain,
% 73.16/46.02 (v90(constB102, bitIndex1)),
% 73.16/46.02 inference(unit_resolution,[status(thm)],[15650, 15546])).
% 73.16/46.02 tff(15652,plain,
% 73.16/46.02 ((~v1(constB103)) <=> (~v1(constB103))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15653,axiom,(~v1(constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_103_1_1')).
% 73.16/46.02 tff(15654,plain,
% 73.16/46.02 (~v1(constB103)),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15653, 15652])).
% 73.16/46.02 tff(15655,plain,
% 73.16/46.02 (nextState(constB102, constB103) <=> nextState(constB102, constB103)),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15656,axiom,(nextState(constB102, constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_102_1')).
% 73.16/46.02 tff(15657,plain,
% 73.16/46.02 (nextState(constB102, constB103)),
% 73.16/46.02 inference(modus_ponens,[status(thm)],[15656, 15655])).
% 73.16/46.02 tff(15658,plain,
% 73.16/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15659,plain,
% 73.16/46.02 (((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103)) <=> (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 73.16/46.02 inference(rewrite,[status(thm)],[])).
% 73.16/46.02 tff(15660,plain,
% 73.16/46.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103))))),
% 73.16/46.03 inference(monotonicity,[status(thm)],[15659])).
% 73.16/46.03 tff(15661,plain,
% 73.16/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 73.16/46.03 inference(transitivity,[status(thm)],[15660, 15658])).
% 73.16/46.03 tff(15662,plain,
% 73.16/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))),
% 73.16/46.03 inference(quant_inst,[status(thm)],[])).
% 73.16/46.03 tff(15663,plain,
% 73.16/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103))),
% 73.16/46.03 inference(modus_ponens,[status(thm)],[15662, 15661])).
% 73.16/46.03 tff(15664,plain,
% 73.16/46.03 (~v101(constB103)),
% 73.16/46.03 inference(unit_resolution,[status(thm)],[15663, 56, 15657, 15654])).
% 73.16/46.03 tff(15665,plain,
% 73.16/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))),
% 73.16/46.03 inference(rewrite,[status(thm)],[])).
% 73.16/46.03 tff(15666,plain,
% 73.16/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))),
% 73.16/46.03 inference(quant_inst,[status(thm)],[])).
% 73.16/46.03 tff(15667,plain,
% 73.16/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103))),
% 73.16/46.03 inference(modus_ponens,[status(thm)],[15666, 15665])).
% 73.16/46.03 tff(15668,plain,
% 73.16/46.03 (v101(constB103) | (~v100(constB103))),
% 73.16/46.03 inference(unit_resolution,[status(thm)],[15667, 73, 15657])).
% 73.16/46.03 tff(15669,plain,
% 73.16/46.03 (~v100(constB103)),
% 73.16/46.03 inference(unit_resolution,[status(thm)],[15668, 15664])).
% 73.16/46.03 tff(15670,plain,
% 73.16/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1))),
% 73.16/46.03 inference(rewrite,[status(thm)],[])).
% 73.16/46.03 tff(15671,plain,
% 73.16/46.03 (((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1)) <=> ((~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1))),
% 73.16/46.03 inference(rewrite,[status(thm)],[])).
% 73.16/46.03 tff(15672,plain,
% 73.16/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1)))),
% 73.16/46.03 inference(monotonicity,[status(thm)],[15671])).
% 73.16/46.03 tff(15673,plain,
% 73.16/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1))),
% 73.16/46.03 inference(transitivity,[status(thm)],[15672, 15670])).
% 73.16/46.03 tff(15674,plain,
% 73.16/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1))),
% 73.16/46.03 inference(quant_inst,[status(thm)],[])).
% 73.16/46.03 tff(15675,plain,
% 73.16/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex1)),
% 73.16/46.03 inference(modus_ponens,[status(thm)],[15674, 15673])).
% 73.16/46.03 tff(15676,plain,
% 73.16/46.03 ((~v90(constB102, bitIndex1)) | v100(constB103) | v90(constB103, bitIndex1)),
% 73.16/46.03 inference(unit_resolution,[status(thm)],[15675, 872, 15657])).
% 73.16/46.03 tff(15677,plain,
% 73.16/46.03 ((~v90(constB102, bitIndex1)) | v90(constB103, bitIndex1)),
% 73.16/46.03 inference(unit_resolution,[status(thm)],[15676, 15669])).
% 73.16/46.03 tff(15678,plain,
% 73.16/46.03 (v90(constB103, bitIndex1)),
% 73.16/46.03 inference(unit_resolution,[status(thm)],[15677, 15651])).
% 73.16/46.03 tff(15679,plain,
% 73.16/46.03 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB101)) | (~v130(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB101)) | (~v130(constB101, bitIndex2)))),
% 73.16/46.03 inference(rewrite,[status(thm)],[])).
% 73.16/46.03 tff(15680,plain,
% 73.16/46.03 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB101)) | (~v130(constB101, bitIndex2)))),
% 73.16/46.03 inference(quant_inst,[status(thm)],[])).
% 73.16/46.03 tff(15681,plain,
% 73.16/46.03 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB101)) | (~v130(constB101, bitIndex2))),
% 73.16/46.03 inference(modus_ponens,[status(thm)],[15680, 15679])).
% 73.16/46.03 tff(15682,plain,
% 73.16/46.03 (~v130(constB101, bitIndex2)),
% 73.16/46.03 inference(unit_resolution,[status(thm)],[15681, 1059, 15441])).
% 73.16/46.03 tff(15683,plain,
% 73.16/46.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2))),
% 73.16/46.03 inference(rewrite,[status(thm)],[])).
% 73.16/46.03 tff(15684,plain,
% 73.16/46.03 ((v26(constB101) | v130(constB101, bitIndex2) | (~v127(constB101, bitIndex2))) <=> ((~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2))),
% 73.16/46.03 inference(rewrite,[status(thm)],[])).
% 73.16/46.03 tff(15685,plain,
% 73.16/46.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB101) | v130(constB101, bitIndex2) | (~v127(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2)))),
% 73.16/46.03 inference(monotonicity,[status(thm)],[15684])).
% 73.16/46.03 tff(15686,plain,
% 73.16/46.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB101) | v130(constB101, bitIndex2) | (~v127(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2))),
% 73.16/46.03 inference(transitivity,[status(thm)],[15685, 15683])).
% 73.16/46.03 tff(15687,plain,
% 73.16/46.03 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB101) | v130(constB101, bitIndex2) | (~v127(constB101, bitIndex2)))),
% 73.16/46.03 inference(quant_inst,[status(thm)],[])).
% 73.16/46.03 tff(15688,plain,
% 73.16/46.03 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB101, bitIndex2)) | v26(constB101) | v130(constB101, bitIndex2)),
% 73.16/46.03 inference(modus_ponens,[status(thm)],[15687, 15686])).
% 73.16/46.03 tff(15689,plain,
% 73.16/46.03 ((~v127(constB101, bitIndex2)) | v130(constB101, bitIndex2)),
% 73.16/46.03 inference(unit_resolution,[status(thm)],[15688, 470, 15536])).
% 73.16/46.03 tff(15690,plain,
% 73.16/46.03 (~v127(constB101, bitIndex2)),
% 73.16/46.03 inference(unit_resolution,[status(thm)],[15689, 15682])).
% 73.16/46.03 tff(15691,plain,
% 73.16/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2)))),
% 73.16/46.03 inference(rewrite,[status(thm)],[])).
% 73.16/46.03 tff(15692,plain,
% 73.16/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2)))),
% 73.16/46.03 inference(quant_inst,[status(thm)],[])).
% 73.16/46.03 tff(15693,plain,
% 73.16/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2))),
% 73.16/46.03 inference(modus_ponens,[status(thm)],[15692, 15691])).
% 73.16/46.03 tff(15694,plain,
% 73.16/46.03 (v127(constB101, bitIndex2) | (~v129(constB102, bitIndex2))),
% 73.16/46.03 inference(unit_resolution,[status(thm)],[15693, 488, 15480])).
% 73.16/46.03 tff(15695,plain,
% 73.16/46.03 (~v129(constB102, bitIndex2)),
% 73.16/46.03 inference(unit_resolution,[status(thm)],[15694, 15690])).
% 73.16/46.03 tff(15696,plain,
% 73.16/46.03 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102)))),
% 73.16/46.03 inference(rewrite,[status(thm)],[])).
% 73.16/46.03 tff(15697,plain,
% 73.16/46.03 (((~v90(constB102, bitIndex2)) | (~v100(constB102)) | v129(constB102, bitIndex2)) <=> ((~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102)))),
% 73.16/46.03 inference(rewrite,[status(thm)],[])).
% 73.16/46.03 tff(15698,plain,
% 73.16/46.03 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | (~v100(constB102)) | v129(constB102, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102))))),
% 73.16/46.03 inference(monotonicity,[status(thm)],[15697])).
% 73.16/46.03 tff(15699,plain,
% 73.16/46.03 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | (~v100(constB102)) | v129(constB102, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102)))),
% 73.16/46.03 inference(transitivity,[status(thm)],[15698, 15696])).
% 73.16/46.03 tff(15700,plain,
% 73.16/46.03 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB102, bitIndex2)) | (~v100(constB102)) | v129(constB102, bitIndex2))),
% 73.16/46.03 inference(quant_inst,[status(thm)],[])).
% 73.16/46.03 tff(15701,plain,
% 73.16/46.03 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2) | (~v100(constB102))),
% 73.16/46.03 inference(modus_ponens,[status(thm)],[15700, 15699])).
% 73.16/46.03 tff(15702,plain,
% 73.16/46.03 ((~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2)),
% 73.16/46.03 inference(unit_resolution,[status(thm)],[15701, 503, 15643])).
% 73.16/46.03 tff(15703,plain,
% 73.16/46.03 (~v90(constB102, bitIndex2)),
% 73.16/46.03 inference(unit_resolution,[status(thm)],[15702, 15695])).
% 73.16/46.03 tff(15704,plain,
% 73.16/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex2)))),
% 73.16/46.03 inference(rewrite,[status(thm)],[])).
% 73.16/46.03 tff(15705,plain,
% 73.16/46.03 (((~nextState(constB102, constB103)) | v90(constB102, bitIndex2) | v100(constB103) | (~v90(constB103, bitIndex2))) <=> (v90(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex2)))),
% 73.16/46.03 inference(rewrite,[status(thm)],[])).
% 73.16/46.03 tff(15706,plain,
% 73.16/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex2) | v100(constB103) | (~v90(constB103, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex2))))),
% 73.16/46.03 inference(monotonicity,[status(thm)],[15705])).
% 73.16/46.03 tff(15707,plain,
% 73.16/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex2) | v100(constB103) | (~v90(constB103, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex2)))),
% 73.16/46.03 inference(transitivity,[status(thm)],[15706, 15704])).
% 73.16/46.03 tff(15708,plain,
% 73.16/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB102, constB103)) | v90(constB102, bitIndex2) | v100(constB103) | (~v90(constB103, bitIndex2)))),
% 73.16/46.03 inference(quant_inst,[status(thm)],[])).
% 73.16/46.03 tff(15709,plain,
% 73.16/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex2))),
% 73.16/46.03 inference(modus_ponens,[status(thm)],[15708, 15707])).
% 73.16/46.03 tff(15710,plain,
% 73.16/46.03 (v90(constB102, bitIndex2) | v100(constB103) | (~v90(constB103, bitIndex2))),
% 73.16/46.03 inference(unit_resolution,[status(thm)],[15709, 88, 15657])).
% 73.16/46.03 tff(15711,plain,
% 73.16/46.03 (v90(constB102, bitIndex2) | (~v90(constB103, bitIndex2))),
% 73.16/46.03 inference(unit_resolution,[status(thm)],[15710, 15669])).
% 73.16/46.03 tff(15712,plain,
% 73.16/46.03 (~v90(constB103, bitIndex2)),
% 73.16/46.03 inference(unit_resolution,[status(thm)],[15711, 15703])).
% 73.16/46.03 tff(15713,plain,
% 73.16/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex0))),
% 73.16/46.03 inference(rewrite,[status(thm)],[])).
% 73.16/46.03 tff(15714,plain,
% 73.16/46.03 (((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex0)) | v100(constB103) | v90(constB103, bitIndex0)) <=> ((~v90(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex0))),
% 73.20/46.03 inference(rewrite,[status(thm)],[])).
% 73.20/46.03 tff(15715,plain,
% 73.20/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex0)) | v100(constB103) | v90(constB103, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex0)))),
% 73.20/46.03 inference(monotonicity,[status(thm)],[15714])).
% 73.20/46.03 tff(15716,plain,
% 73.20/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex0)) | v100(constB103) | v90(constB103, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex0))),
% 73.20/46.03 inference(transitivity,[status(thm)],[15715, 15713])).
% 73.20/46.03 tff(15717,plain,
% 73.20/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex0)) | v100(constB103) | v90(constB103, bitIndex0))),
% 73.20/46.03 inference(quant_inst,[status(thm)],[])).
% 73.20/46.03 tff(15718,plain,
% 73.20/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex0)),
% 73.20/46.03 inference(modus_ponens,[status(thm)],[15717, 15716])).
% 73.20/46.03 tff(15719,plain,
% 73.20/46.03 ((~v90(constB102, bitIndex0)) | v100(constB103) | v90(constB103, bitIndex0)),
% 73.20/46.03 inference(unit_resolution,[status(thm)],[15718, 437, 15657])).
% 73.20/46.03 tff(15720,plain,
% 73.20/46.03 ((~v90(constB102, bitIndex0)) | v90(constB103, bitIndex0)),
% 73.20/46.03 inference(unit_resolution,[status(thm)],[15719, 15669])).
% 73.20/46.03 tff(15721,plain,
% 73.20/46.03 (v90(constB103, bitIndex0)),
% 73.20/46.03 inference(unit_resolution,[status(thm)],[15720, 15635])).
% 73.20/46.03 tff(15722,plain,
% 73.20/46.03 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v122(constB103))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v122(constB103))),
% 73.20/46.03 inference(rewrite,[status(thm)],[])).
% 73.20/46.03 tff(15723,plain,
% 73.20/46.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v122(constB103))),
% 73.20/46.03 inference(quant_inst,[status(thm)],[])).
% 73.20/46.03 tff(15724,plain,
% 73.20/46.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v122(constB103)),
% 73.20/46.03 inference(modus_ponens,[status(thm)],[15723, 15722])).
% 73.20/46.03 tff(15725,plain,
% 73.20/46.03 ((~v90(constB103, bitIndex1)) | v90(constB103, bitIndex2) | v122(constB103)),
% 73.20/46.03 inference(unit_resolution,[status(thm)],[15724, 1203, 15721])).
% 73.20/46.03 tff(15726,plain,
% 73.20/46.03 (v122(constB103)),
% 73.20/46.03 inference(unit_resolution,[status(thm)],[15725, 15712, 15678])).
% 73.20/46.03 tff(15727,plain,
% 73.20/46.03 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB103)) | (~v130(constB103, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB103)) | (~v130(constB103, bitIndex1)))),
% 73.20/46.03 inference(rewrite,[status(thm)],[])).
% 73.20/46.03 tff(15728,plain,
% 73.20/46.03 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB103)) | (~v130(constB103, bitIndex1)))),
% 73.20/46.03 inference(quant_inst,[status(thm)],[])).
% 73.20/46.03 tff(15729,plain,
% 73.20/46.03 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB103)) | (~v130(constB103, bitIndex1))),
% 73.20/46.03 inference(modus_ponens,[status(thm)],[15728, 15727])).
% 73.20/46.03 tff(15730,plain,
% 73.20/46.03 (~v130(constB103, bitIndex1)),
% 73.20/46.03 inference(unit_resolution,[status(thm)],[15729, 1389, 15726])).
% 73.20/46.03 tff(15731,assumption,(v26(constB103)), introduced(assumption)).
% 73.20/46.03 tff(15732,plain,
% 73.20/46.03 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB103))),
% 73.20/46.03 inference(quant_inst,[status(thm)],[])).
% 73.20/46.03 tff(15733,plain,
% 73.20/46.03 ($false),
% 73.20/46.03 inference(unit_resolution,[status(thm)],[15732, 37, 15731])).
% 73.20/46.03 tff(15734,plain,(~v26(constB103)), inference(lemma,lemma(discharge,[]))).
% 73.20/46.03 tff(15735,plain,
% 73.20/46.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1))),
% 73.20/46.03 inference(rewrite,[status(thm)],[])).
% 73.20/46.03 tff(15736,plain,
% 73.20/46.03 ((v26(constB103) | v130(constB103, bitIndex1) | (~v127(constB103, bitIndex1))) <=> ((~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1))),
% 73.20/46.03 inference(rewrite,[status(thm)],[])).
% 73.20/46.03 tff(15737,plain,
% 73.20/46.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB103) | v130(constB103, bitIndex1) | (~v127(constB103, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1)))),
% 73.20/46.03 inference(monotonicity,[status(thm)],[15736])).
% 73.20/46.03 tff(15738,plain,
% 73.20/46.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB103) | v130(constB103, bitIndex1) | (~v127(constB103, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1))),
% 73.20/46.03 inference(transitivity,[status(thm)],[15737, 15735])).
% 73.20/46.03 tff(15739,plain,
% 73.20/46.03 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB103) | v130(constB103, bitIndex1) | (~v127(constB103, bitIndex1)))),
% 73.20/46.03 inference(quant_inst,[status(thm)],[])).
% 73.20/46.03 tff(15740,plain,
% 73.20/46.03 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB103, bitIndex1)) | v26(constB103) | v130(constB103, bitIndex1)),
% 73.20/46.03 inference(modus_ponens,[status(thm)],[15739, 15738])).
% 73.20/46.03 tff(15741,plain,
% 73.20/46.03 ((~v127(constB103, bitIndex1)) | v130(constB103, bitIndex1)),
% 73.20/46.03 inference(unit_resolution,[status(thm)],[15740, 555, 15734])).
% 73.20/46.03 tff(15742,plain,
% 73.20/46.03 (~v127(constB103, bitIndex1)),
% 73.20/46.03 inference(unit_resolution,[status(thm)],[15741, 15730])).
% 73.20/46.03 tff(15743,plain,
% 73.20/46.03 (nextState(constB103, constB104) <=> nextState(constB103, constB104)),
% 73.20/46.03 inference(rewrite,[status(thm)],[])).
% 73.20/46.03 tff(15744,axiom,(nextState(constB103, constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_103_1')).
% 73.20/46.03 tff(15745,plain,
% 73.20/46.03 (nextState(constB103, constB104)),
% 73.20/46.03 inference(modus_ponens,[status(thm)],[15744, 15743])).
% 73.20/46.03 tff(15746,plain,
% 73.20/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex1) | (~v129(constB104, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex1) | (~v129(constB104, bitIndex1)))),
% 73.20/46.03 inference(rewrite,[status(thm)],[])).
% 73.20/46.03 tff(15747,plain,
% 73.20/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex1) | (~v129(constB104, bitIndex1)))),
% 73.20/46.03 inference(quant_inst,[status(thm)],[])).
% 73.20/46.03 tff(15748,plain,
% 73.20/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex1) | (~v129(constB104, bitIndex1))),
% 73.20/46.03 inference(modus_ponens,[status(thm)],[15747, 15746])).
% 73.20/46.03 tff(15749,plain,
% 73.20/46.03 (v127(constB103, bitIndex1) | (~v129(constB104, bitIndex1))),
% 73.20/46.03 inference(unit_resolution,[status(thm)],[15748, 588, 15745])).
% 73.20/46.03 tff(15750,plain,
% 73.20/46.03 (~v129(constB104, bitIndex1)),
% 73.20/46.03 inference(unit_resolution,[status(thm)],[15749, 15742])).
% 73.20/46.03 tff(15751,assumption,(v122(constB103)), introduced(assumption)).
% 73.20/46.03 tff(15752,plain,
% 73.20/46.03 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB103) | (~v122(constB103)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB103) | (~v122(constB103)))),
% 73.20/46.03 inference(rewrite,[status(thm)],[])).
% 73.20/46.03 tff(15753,plain,
% 73.20/46.03 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB103) | (~v122(constB103)))),
% 73.20/46.03 inference(quant_inst,[status(thm)],[])).
% 73.20/46.03 tff(15754,plain,
% 73.20/46.03 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB103) | (~v122(constB103))),
% 73.20/46.03 inference(modus_ponens,[status(thm)],[15753, 15752])).
% 73.20/46.03 tff(15755,plain,
% 73.20/46.03 (v116(constB103)),
% 73.20/46.03 inference(unit_resolution,[status(thm)],[15754, 1214, 15751])).
% 73.20/46.03 tff(15756,plain,
% 73.20/46.03 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB103) | (~v116(constB103)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB103) | (~v116(constB103)))),
% 73.20/46.03 inference(rewrite,[status(thm)],[])).
% 73.20/46.03 tff(15757,plain,
% 73.20/46.03 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB103) | (~v116(constB103)))),
% 73.20/46.03 inference(quant_inst,[status(thm)],[])).
% 73.20/46.03 tff(15758,plain,
% 73.20/46.03 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB103) | (~v116(constB103))),
% 73.20/46.03 inference(modus_ponens,[status(thm)],[15757, 15756])).
% 73.20/46.03 tff(15759,plain,
% 73.20/46.03 (v115(constB103)),
% 73.20/46.03 inference(unit_resolution,[status(thm)],[15758, 265, 15755])).
% 73.20/46.03 tff(15760,plain,
% 73.20/46.03 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB103) | (~v115(constB103)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB103) | (~v115(constB103)))),
% 73.20/46.03 inference(rewrite,[status(thm)],[])).
% 73.20/46.03 tff(15761,plain,
% 73.20/46.03 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB103) | (~v115(constB103)))),
% 73.20/46.03 inference(quant_inst,[status(thm)],[])).
% 73.20/46.03 tff(15762,plain,
% 73.20/46.03 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB103) | (~v115(constB103))),
% 73.20/46.03 inference(modus_ponens,[status(thm)],[15761, 15760])).
% 73.20/46.03 tff(15763,plain,
% 73.20/46.03 (v114(constB103)),
% 73.20/46.03 inference(unit_resolution,[status(thm)],[15762, 276, 15759])).
% 73.20/46.03 tff(15764,plain,
% 73.20/46.03 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB103)) | (~v130(constB103, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB103)) | (~v130(constB103, bitIndex0)))),
% 73.20/46.03 inference(rewrite,[status(thm)],[])).
% 73.20/46.03 tff(15765,plain,
% 73.20/46.03 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB103)) | (~v130(constB103, bitIndex0)))),
% 73.20/46.03 inference(quant_inst,[status(thm)],[])).
% 73.20/46.03 tff(15766,plain,
% 73.20/46.03 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB103)) | (~v130(constB103, bitIndex0))),
% 73.20/46.03 inference(modus_ponens,[status(thm)],[15765, 15764])).
% 73.20/46.03 tff(15767,plain,
% 73.20/46.03 (~v130(constB103, bitIndex0)),
% 73.20/46.03 inference(unit_resolution,[status(thm)],[15766, 1433, 15751])).
% 73.20/46.03 tff(15768,plain,
% 73.20/46.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))),
% 73.20/46.03 inference(rewrite,[status(thm)],[])).
% 73.20/46.03 tff(15769,plain,
% 73.20/46.03 ((v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0))) <=> ((~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))),
% 73.20/46.03 inference(rewrite,[status(thm)],[])).
% 73.20/46.03 tff(15770,plain,
% 73.20/46.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0)))),
% 73.20/46.03 inference(monotonicity,[status(thm)],[15769])).
% 73.20/46.03 tff(15771,plain,
% 73.20/46.03 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))),
% 73.20/46.03 inference(transitivity,[status(thm)],[15770, 15768])).
% 73.20/46.03 tff(15772,plain,
% 73.20/46.03 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0)))),
% 73.20/46.03 inference(quant_inst,[status(thm)],[])).
% 73.20/46.03 tff(15773,plain,
% 73.20/46.03 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0)),
% 73.20/46.03 inference(modus_ponens,[status(thm)],[15772, 15771])).
% 73.20/46.03 tff(15774,plain,
% 73.20/46.03 ((~v127(constB103, bitIndex0)) | v130(constB103, bitIndex0)),
% 73.20/46.03 inference(unit_resolution,[status(thm)],[15773, 905, 15734])).
% 73.20/46.03 tff(15775,plain,
% 73.20/46.03 (~v127(constB103, bitIndex0)),
% 73.20/46.03 inference(unit_resolution,[status(thm)],[15774, 15767])).
% 73.20/46.03 tff(15776,plain,
% 73.20/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0)))),
% 73.20/46.03 inference(rewrite,[status(thm)],[])).
% 73.20/46.03 tff(15777,plain,
% 73.20/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0)))),
% 73.20/46.03 inference(quant_inst,[status(thm)],[])).
% 73.20/46.03 tff(15778,plain,
% 73.20/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0))),
% 73.20/46.03 inference(modus_ponens,[status(thm)],[15777, 15776])).
% 73.20/46.03 tff(15779,plain,
% 73.20/46.03 (v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0))),
% 73.20/46.03 inference(unit_resolution,[status(thm)],[15778, 923, 15745])).
% 73.20/46.03 tff(15780,plain,
% 73.20/46.03 (~v129(constB104, bitIndex0)),
% 73.20/46.03 inference(unit_resolution,[status(thm)],[15779, 15775])).
% 73.20/46.03 tff(15781,assumption,(v90(constB104, bitIndex0)), introduced(assumption)).
% 73.20/46.03 tff(15782,plain,
% 73.20/46.03 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))),
% 73.20/46.03 inference(rewrite,[status(thm)],[])).
% 73.20/46.03 tff(15783,plain,
% 73.20/46.03 (((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0)) <=> ((~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))),
% 73.20/46.03 inference(rewrite,[status(thm)],[])).
% 73.20/46.03 tff(15784,plain,
% 73.20/46.03 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104))))),
% 73.20/46.03 inference(monotonicity,[status(thm)],[15783])).
% 73.20/46.03 tff(15785,plain,
% 73.20/46.03 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))),
% 73.20/46.03 inference(transitivity,[status(thm)],[15784, 15782])).
% 73.20/46.03 tff(15786,plain,
% 73.20/46.03 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0))),
% 73.20/46.03 inference(quant_inst,[status(thm)],[])).
% 73.20/46.03 tff(15787,plain,
% 73.20/46.03 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104))),
% 73.20/46.03 inference(modus_ponens,[status(thm)],[15786, 15785])).
% 73.20/46.03 tff(15788,plain,
% 73.20/46.03 (v129(constB104, bitIndex0) | (~v100(constB104))),
% 73.20/46.03 inference(unit_resolution,[status(thm)],[15787, 938, 15781])).
% 73.20/46.03 tff(15789,plain,
% 73.20/46.03 (~v100(constB104)),
% 73.20/46.03 inference(unit_resolution,[status(thm)],[15788, 15780])).
% 73.20/46.03 tff(15790,plain,
% 73.20/46.03 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))),
% 73.20/46.03 inference(rewrite,[status(thm)],[])).
% 73.20/46.03 tff(15791,plain,
% 73.20/46.03 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))),
% 73.20/46.03 inference(quant_inst,[status(thm)],[])).
% 73.20/46.03 tff(15792,plain,
% 73.20/46.03 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104))),
% 73.20/46.03 inference(modus_ponens,[status(thm)],[15791, 15790])).
% 73.20/46.03 tff(15793,plain,
% 73.20/46.03 (~v104(constB104)),
% 73.20/46.03 inference(unit_resolution,[status(thm)],[15792, 335, 15745, 15654])).
% 73.20/46.03 tff(15794,plain,
% 73.20/46.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))),
% 73.20/46.03 inference(rewrite,[status(thm)],[])).
% 73.20/46.03 tff(15795,plain,
% 73.20/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))),
% 73.20/46.03 inference(quant_inst,[status(thm)],[])).
% 73.20/46.03 tff(15796,plain,
% 73.20/46.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v102(constB104) | v104(constB104)),
% 73.20/46.03 inference(modus_ponens,[status(thm)],[15795, 15794])).
% 73.20/46.03 tff(15797,plain,
% 73.20/46.03 (v102(constB104) | v104(constB104)),
% 73.20/46.03 inference(unit_resolution,[status(thm)],[15796, 349, 15745])).
% 73.20/46.03 tff(15798,plain,
% 73.20/46.03 (v102(constB104)),
% 73.20/46.03 inference(unit_resolution,[status(thm)],[15797, 15793])).
% 73.20/46.03 tff(15799,plain,
% 73.20/46.03 (v1(constB104) <=> v1(constB104)),
% 73.20/46.03 inference(rewrite,[status(thm)],[])).
% 73.20/46.03 tff(15800,axiom,(v1(constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_104_1')).
% 73.20/46.04 tff(15801,plain,
% 73.20/46.04 (v1(constB104)),
% 73.20/46.04 inference(modus_ponens,[status(thm)],[15800, 15799])).
% 73.20/46.04 tff(15802,plain,
% 73.20/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))),
% 73.20/46.04 inference(rewrite,[status(thm)],[])).
% 73.20/46.04 tff(15803,plain,
% 73.20/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))),
% 73.20/46.04 inference(quant_inst,[status(thm)],[])).
% 73.20/46.04 tff(15804,plain,
% 73.20/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104))),
% 73.20/46.04 inference(modus_ponens,[status(thm)],[15803, 15802])).
% 73.20/46.04 tff(15805,plain,
% 73.20/46.04 (v101(constB104) | (~v102(constB104))),
% 73.20/46.04 inference(unit_resolution,[status(thm)],[15804, 367, 15745, 15801])).
% 73.20/46.04 tff(15806,plain,
% 73.20/46.04 (v101(constB104)),
% 73.20/46.04 inference(unit_resolution,[status(thm)],[15805, 15798])).
% 73.20/46.04 tff(15807,plain,
% 73.20/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 73.20/46.04 inference(rewrite,[status(thm)],[])).
% 73.20/46.04 tff(15808,plain,
% 73.20/46.04 (((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104)) <=> ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 73.20/46.04 inference(rewrite,[status(thm)],[])).
% 73.20/46.04 tff(15809,plain,
% 73.20/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104))))),
% 73.20/46.04 inference(monotonicity,[status(thm)],[15808])).
% 73.20/46.04 tff(15810,plain,
% 73.20/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 73.20/46.04 inference(transitivity,[status(thm)],[15809, 15807])).
% 73.20/46.04 tff(15811,plain,
% 73.20/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))),
% 73.20/46.04 inference(quant_inst,[status(thm)],[])).
% 73.20/46.04 tff(15812,plain,
% 73.20/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104))),
% 73.20/46.04 inference(modus_ponens,[status(thm)],[15811, 15810])).
% 73.20/46.04 tff(15813,plain,
% 73.20/46.04 (v100(constB104) | (~v101(constB104)) | (~v110(constB104))),
% 73.20/46.04 inference(unit_resolution,[status(thm)],[15812, 382, 15745])).
% 73.20/46.04 tff(15814,plain,
% 73.20/46.04 (v100(constB104) | (~v110(constB104))),
% 73.20/46.04 inference(unit_resolution,[status(thm)],[15813, 15806])).
% 73.20/46.04 tff(15815,plain,
% 73.20/46.04 (~v110(constB104)),
% 73.20/46.04 inference(unit_resolution,[status(thm)],[15814, 15789])).
% 73.20/46.04 tff(15816,plain,
% 73.20/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 73.20/46.04 inference(rewrite,[status(thm)],[])).
% 73.20/46.04 tff(15817,plain,
% 73.20/46.04 (((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104)) <=> ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 73.20/46.04 inference(rewrite,[status(thm)],[])).
% 73.20/46.04 tff(15818,plain,
% 73.20/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103))))),
% 73.20/46.04 inference(monotonicity,[status(thm)],[15817])).
% 73.20/46.04 tff(15819,plain,
% 73.20/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 73.20/46.04 inference(transitivity,[status(thm)],[15818, 15816])).
% 73.20/46.04 tff(15820,plain,
% 73.20/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))),
% 73.20/46.04 inference(quant_inst,[status(thm)],[])).
% 73.20/46.04 tff(15821,plain,
% 73.20/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103))),
% 73.20/46.04 inference(modus_ponens,[status(thm)],[15820, 15819])).
% 73.20/46.04 tff(15822,plain,
% 73.20/46.04 (v110(constB104) | (~v108(constB103))),
% 73.20/46.04 inference(unit_resolution,[status(thm)],[15821, 317, 15745])).
% 73.20/46.04 tff(15823,plain,
% 73.20/46.04 (~v108(constB103)),
% 73.20/46.04 inference(unit_resolution,[status(thm)],[15822, 15815])).
% 73.20/46.04 tff(15824,plain,
% 73.20/46.04 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB103) | (~v112(constB103)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB103) | (~v112(constB103)))),
% 73.20/46.04 inference(rewrite,[status(thm)],[])).
% 73.20/46.04 tff(15825,plain,
% 73.20/46.04 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB103) | (~v112(constB103)))),
% 73.20/46.04 inference(quant_inst,[status(thm)],[])).
% 73.20/46.04 tff(15826,plain,
% 73.20/46.04 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB103) | (~v112(constB103))),
% 73.20/46.04 inference(modus_ponens,[status(thm)],[15825, 15824])).
% 73.20/46.04 tff(15827,plain,
% 73.20/46.04 (~v112(constB103)),
% 73.20/46.04 inference(unit_resolution,[status(thm)],[15826, 210, 15823])).
% 73.20/46.04 tff(15828,plain,
% 73.20/46.04 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | (~v113(constB103)) | v112(constB103))),
% 73.20/46.04 inference(rewrite,[status(thm)],[])).
% 73.20/46.04 tff(15829,plain,
% 73.20/46.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))),
% 73.20/46.04 inference(quant_inst,[status(thm)],[])).
% 73.20/46.04 tff(15830,plain,
% 73.20/46.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | (~v113(constB103)) | v112(constB103)),
% 73.20/46.04 inference(modus_ponens,[status(thm)],[15829, 15828])).
% 73.20/46.04 tff(15831,plain,
% 73.20/46.04 ((~v113(constB103)) | v112(constB103)),
% 73.20/46.04 inference(unit_resolution,[status(thm)],[15830, 301, 15734])).
% 73.20/46.04 tff(15832,plain,
% 73.20/46.04 (~v113(constB103)),
% 73.20/46.04 inference(unit_resolution,[status(thm)],[15831, 15827])).
% 73.20/46.04 tff(15833,plain,
% 73.20/46.04 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB103) | (~v114(constB103)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB103) | (~v114(constB103)))),
% 73.20/46.04 inference(rewrite,[status(thm)],[])).
% 73.20/46.04 tff(15834,plain,
% 73.20/46.04 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB103) | (~v114(constB103)))),
% 73.20/46.04 inference(quant_inst,[status(thm)],[])).
% 73.20/46.04 tff(15835,plain,
% 73.20/46.04 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB103) | (~v114(constB103))),
% 73.20/46.04 inference(modus_ponens,[status(thm)],[15834, 15833])).
% 73.20/46.04 tff(15836,plain,
% 73.20/46.04 ($false),
% 73.20/46.04 inference(unit_resolution,[status(thm)],[15835, 287, 15832, 15763])).
% 73.20/46.04 tff(15837,plain,((~v122(constB103)) | (~v90(constB104, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 73.20/46.04 tff(15838,plain,
% 73.20/46.04 (~v90(constB104, bitIndex0)),
% 73.20/46.04 inference(unit_resolution,[status(thm)],[15837, 15726])).
% 73.20/46.04 tff(15839,plain,
% 73.20/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB103, bitIndex0)) | (~nextState(constB103, constB104)) | v100(constB104) | v90(constB104, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB103, bitIndex0)) | (~nextState(constB103, constB104)) | v100(constB104) | v90(constB104, bitIndex0))),
% 73.20/46.04 inference(rewrite,[status(thm)],[])).
% 73.20/46.04 tff(15840,plain,
% 73.20/46.04 (((~nextState(constB103, constB104)) | (~v90(constB103, bitIndex0)) | v100(constB104) | v90(constB104, bitIndex0)) <=> ((~v90(constB103, bitIndex0)) | (~nextState(constB103, constB104)) | v100(constB104) | v90(constB104, bitIndex0))),
% 73.20/46.04 inference(rewrite,[status(thm)],[])).
% 73.20/46.04 tff(15841,plain,
% 73.20/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB103, constB104)) | (~v90(constB103, bitIndex0)) | v100(constB104) | v90(constB104, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB103, bitIndex0)) | (~nextState(constB103, constB104)) | v100(constB104) | v90(constB104, bitIndex0)))),
% 73.20/46.04 inference(monotonicity,[status(thm)],[15840])).
% 73.20/46.04 tff(15842,plain,
% 73.20/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB103, constB104)) | (~v90(constB103, bitIndex0)) | v100(constB104) | v90(constB104, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB103, bitIndex0)) | (~nextState(constB103, constB104)) | v100(constB104) | v90(constB104, bitIndex0))),
% 73.20/46.04 inference(transitivity,[status(thm)],[15841, 15839])).
% 73.20/46.04 tff(15843,plain,
% 73.20/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB103, constB104)) | (~v90(constB103, bitIndex0)) | v100(constB104) | v90(constB104, bitIndex0))),
% 73.20/46.04 inference(quant_inst,[status(thm)],[])).
% 73.20/46.04 tff(15844,plain,
% 73.20/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB103, bitIndex0)) | (~nextState(constB103, constB104)) | v100(constB104) | v90(constB104, bitIndex0)),
% 73.20/46.04 inference(modus_ponens,[status(thm)],[15843, 15842])).
% 73.20/46.04 tff(15845,plain,
% 73.20/46.04 ((~v90(constB103, bitIndex0)) | v100(constB104) | v90(constB104, bitIndex0)),
% 73.20/46.04 inference(unit_resolution,[status(thm)],[15844, 437, 15745])).
% 73.20/46.04 tff(15846,plain,
% 73.20/46.04 (v100(constB104)),
% 73.20/46.04 inference(unit_resolution,[status(thm)],[15845, 15838, 15721])).
% 73.20/46.04 tff(15847,plain,
% 73.20/46.04 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1) | (~v100(constB104)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1) | (~v100(constB104)))),
% 73.20/46.04 inference(rewrite,[status(thm)],[])).
% 73.20/46.04 tff(15848,plain,
% 73.20/46.04 (((~v90(constB104, bitIndex1)) | (~v100(constB104)) | v129(constB104, bitIndex1)) <=> ((~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1) | (~v100(constB104)))),
% 73.20/46.04 inference(rewrite,[status(thm)],[])).
% 73.20/46.04 tff(15849,plain,
% 73.20/46.04 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | (~v100(constB104)) | v129(constB104, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1) | (~v100(constB104))))),
% 73.20/46.04 inference(monotonicity,[status(thm)],[15848])).
% 73.20/46.04 tff(15850,plain,
% 73.20/46.04 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | (~v100(constB104)) | v129(constB104, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1) | (~v100(constB104)))),
% 73.20/46.04 inference(transitivity,[status(thm)],[15849, 15847])).
% 73.20/46.04 tff(15851,plain,
% 73.20/46.04 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB104, bitIndex1)) | (~v100(constB104)) | v129(constB104, bitIndex1))),
% 73.20/46.04 inference(quant_inst,[status(thm)],[])).
% 73.20/46.04 tff(15852,plain,
% 73.20/46.04 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1) | (~v100(constB104))),
% 73.20/46.04 inference(modus_ponens,[status(thm)],[15851, 15850])).
% 73.20/46.04 tff(15853,plain,
% 73.20/46.04 ((~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1)),
% 73.20/46.04 inference(unit_resolution,[status(thm)],[15852, 603, 15846])).
% 73.20/46.04 tff(15854,plain,
% 73.20/46.04 (~v90(constB104, bitIndex1)),
% 73.20/46.04 inference(unit_resolution,[status(thm)],[15853, 15750])).
% 73.20/46.04 tff(15855,plain,
% 73.20/46.04 ((~v1(constB105)) <=> (~v1(constB105))),
% 73.20/46.04 inference(rewrite,[status(thm)],[])).
% 73.20/46.04 tff(15856,axiom,(~v1(constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_105_1_1')).
% 73.20/46.04 tff(15857,plain,
% 73.20/46.04 (~v1(constB105)),
% 73.20/46.04 inference(modus_ponens,[status(thm)],[15856, 15855])).
% 73.20/46.04 tff(15858,plain,
% 73.20/46.04 (nextState(constB104, constB105) <=> nextState(constB104, constB105)),
% 73.20/46.04 inference(rewrite,[status(thm)],[])).
% 73.20/46.04 tff(15859,axiom,(nextState(constB104, constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_104_1')).
% 73.20/46.04 tff(15860,plain,
% 73.20/46.04 (nextState(constB104, constB105)),
% 73.20/46.04 inference(modus_ponens,[status(thm)],[15859, 15858])).
% 73.20/46.04 tff(15861,plain,
% 73.20/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 73.20/46.04 inference(rewrite,[status(thm)],[])).
% 73.20/46.04 tff(15862,plain,
% 73.20/46.04 (((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105)) <=> (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 73.20/46.04 inference(rewrite,[status(thm)],[])).
% 73.20/46.04 tff(15863,plain,
% 73.20/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105))))),
% 73.20/46.04 inference(monotonicity,[status(thm)],[15862])).
% 73.20/46.04 tff(15864,plain,
% 73.20/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 73.20/46.04 inference(transitivity,[status(thm)],[15863, 15861])).
% 73.20/46.04 tff(15865,plain,
% 73.20/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))),
% 73.20/46.04 inference(quant_inst,[status(thm)],[])).
% 73.20/46.04 tff(15866,plain,
% 73.20/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105))),
% 73.20/46.04 inference(modus_ponens,[status(thm)],[15865, 15864])).
% 73.20/46.04 tff(15867,plain,
% 73.20/46.04 (~v101(constB105)),
% 73.20/46.04 inference(unit_resolution,[status(thm)],[15866, 56, 15860, 15857])).
% 73.20/46.04 tff(15868,plain,
% 73.20/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))),
% 73.20/46.04 inference(rewrite,[status(thm)],[])).
% 73.20/46.04 tff(15869,plain,
% 73.20/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))),
% 73.20/46.04 inference(quant_inst,[status(thm)],[])).
% 73.20/46.04 tff(15870,plain,
% 73.20/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105))),
% 73.20/46.04 inference(modus_ponens,[status(thm)],[15869, 15868])).
% 73.20/46.04 tff(15871,plain,
% 73.20/46.04 (v101(constB105) | (~v100(constB105))),
% 73.20/46.04 inference(unit_resolution,[status(thm)],[15870, 73, 15860])).
% 73.20/46.04 tff(15872,plain,
% 73.20/46.04 (~v100(constB105)),
% 73.20/46.04 inference(unit_resolution,[status(thm)],[15871, 15867])).
% 73.20/46.04 tff(15873,plain,
% 73.20/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex1)))),
% 73.20/46.04 inference(rewrite,[status(thm)],[])).
% 73.20/46.04 tff(15874,plain,
% 73.20/46.04 (((~nextState(constB104, constB105)) | v90(constB104, bitIndex1) | v100(constB105) | (~v90(constB105, bitIndex1))) <=> (v90(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex1)))),
% 73.20/46.04 inference(rewrite,[status(thm)],[])).
% 73.20/46.04 tff(15875,plain,
% 73.20/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex1) | v100(constB105) | (~v90(constB105, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex1))))),
% 73.20/46.04 inference(monotonicity,[status(thm)],[15874])).
% 73.20/46.04 tff(15876,plain,
% 73.20/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex1) | v100(constB105) | (~v90(constB105, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex1)))),
% 73.20/46.04 inference(transitivity,[status(thm)],[15875, 15873])).
% 73.20/46.04 tff(15877,plain,
% 73.20/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex1) | v100(constB105) | (~v90(constB105, bitIndex1)))),
% 73.20/46.04 inference(quant_inst,[status(thm)],[])).
% 73.20/46.04 tff(15878,plain,
% 73.20/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex1))),
% 73.20/46.04 inference(modus_ponens,[status(thm)],[15877, 15876])).
% 73.20/46.04 tff(15879,plain,
% 73.20/46.04 (v90(constB104, bitIndex1) | v100(constB105) | (~v90(constB105, bitIndex1))),
% 73.20/46.04 inference(unit_resolution,[status(thm)],[15878, 109, 15860])).
% 73.20/46.04 tff(15880,plain,
% 73.20/46.04 (v90(constB104, bitIndex1) | (~v90(constB105, bitIndex1))),
% 73.20/46.04 inference(unit_resolution,[status(thm)],[15879, 15872])).
% 73.20/46.04 tff(15881,plain,
% 73.20/46.04 (~v90(constB105, bitIndex1)),
% 73.20/46.04 inference(unit_resolution,[status(thm)],[15880, 15854])).
% 73.20/46.04 tff(15882,plain,
% 73.20/46.04 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB103)) | v130(constB103, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB103)) | v130(constB103, bitIndex2))),
% 73.20/46.04 inference(rewrite,[status(thm)],[])).
% 73.20/46.04 tff(15883,plain,
% 73.20/46.04 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB103)) | v130(constB103, bitIndex2))),
% 73.20/46.04 inference(quant_inst,[status(thm)],[])).
% 73.20/46.04 tff(15884,plain,
% 73.20/46.04 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB103)) | v130(constB103, bitIndex2)),
% 73.20/46.04 inference(modus_ponens,[status(thm)],[15883, 15882])).
% 73.20/46.04 tff(15885,plain,
% 73.20/46.04 (v130(constB103, bitIndex2)),
% 73.20/46.04 inference(unit_resolution,[status(thm)],[15884, 1290, 15726])).
% 73.20/46.04 tff(15886,plain,
% 73.20/46.04 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2))),
% 73.20/46.04 inference(rewrite,[status(thm)],[])).
% 73.20/46.04 tff(15887,plain,
% 73.20/46.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2))),
% 73.20/46.04 inference(quant_inst,[status(thm)],[])).
% 73.20/46.04 tff(15888,plain,
% 73.20/46.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2)),
% 73.20/46.04 inference(modus_ponens,[status(thm)],[15887, 15886])).
% 73.20/46.04 tff(15889,plain,
% 73.20/46.04 ((~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2)),
% 73.20/46.04 inference(unit_resolution,[status(thm)],[15888, 1304, 15734])).
% 73.20/46.04 tff(15890,plain,
% 73.20/46.04 (v127(constB103, bitIndex2)),
% 73.20/46.04 inference(unit_resolution,[status(thm)],[15889, 15885])).
% 73.20/46.04 tff(15891,plain,
% 73.20/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2))),
% 73.20/46.04 inference(rewrite,[status(thm)],[])).
% 73.20/46.04 tff(15892,plain,
% 73.20/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2))),
% 73.20/46.04 inference(quant_inst,[status(thm)],[])).
% 73.20/46.04 tff(15893,plain,
% 73.20/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2)),
% 73.22/46.04 inference(modus_ponens,[status(thm)],[15892, 15891])).
% 73.22/46.04 tff(15894,plain,
% 73.22/46.04 ((~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2)),
% 73.22/46.04 inference(unit_resolution,[status(thm)],[15893, 1319, 15745])).
% 73.22/46.04 tff(15895,plain,
% 73.22/46.04 (v129(constB104, bitIndex2)),
% 73.22/46.04 inference(unit_resolution,[status(thm)],[15894, 15890])).
% 73.22/46.04 tff(15896,plain,
% 73.22/46.04 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))),
% 73.22/46.04 inference(rewrite,[status(thm)],[])).
% 73.22/46.04 tff(15897,plain,
% 73.22/46.04 ((v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2))) <=> (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))),
% 73.22/46.04 inference(rewrite,[status(thm)],[])).
% 73.22/46.04 tff(15898,plain,
% 73.22/46.04 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104))))),
% 73.22/46.04 inference(monotonicity,[status(thm)],[15897])).
% 73.22/46.04 tff(15899,plain,
% 73.22/46.04 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))),
% 73.22/46.04 inference(transitivity,[status(thm)],[15898, 15896])).
% 73.22/46.04 tff(15900,plain,
% 73.22/46.04 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2)))),
% 73.22/46.04 inference(quant_inst,[status(thm)],[])).
% 73.22/46.04 tff(15901,plain,
% 73.22/46.04 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104))),
% 73.22/46.04 inference(modus_ponens,[status(thm)],[15900, 15899])).
% 73.22/46.04 tff(15902,plain,
% 73.22/46.04 (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2))),
% 73.22/46.04 inference(unit_resolution,[status(thm)],[15901, 1334, 15846])).
% 73.22/46.04 tff(15903,plain,
% 73.22/46.04 (v90(constB104, bitIndex2)),
% 73.22/46.04 inference(unit_resolution,[status(thm)],[15902, 15895])).
% 73.22/46.04 tff(15904,plain,
% 73.22/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))),
% 73.22/46.04 inference(rewrite,[status(thm)],[])).
% 73.22/46.04 tff(15905,plain,
% 73.22/46.04 (((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2)) <=> ((~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))),
% 73.22/46.04 inference(rewrite,[status(thm)],[])).
% 73.22/46.04 tff(15906,plain,
% 73.22/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2)))),
% 73.22/46.04 inference(monotonicity,[status(thm)],[15905])).
% 73.22/46.04 tff(15907,plain,
% 73.22/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))),
% 73.22/46.04 inference(transitivity,[status(thm)],[15906, 15904])).
% 73.22/46.04 tff(15908,plain,
% 73.22/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2))),
% 73.22/46.04 inference(quant_inst,[status(thm)],[])).
% 73.22/46.04 tff(15909,plain,
% 73.22/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2)),
% 73.22/46.04 inference(modus_ponens,[status(thm)],[15908, 15907])).
% 73.22/46.04 tff(15910,plain,
% 73.22/46.04 ((~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2)),
% 73.22/46.04 inference(unit_resolution,[status(thm)],[15909, 1370, 15860])).
% 73.22/46.04 tff(15911,plain,
% 73.22/46.04 ((~v90(constB104, bitIndex2)) | v90(constB105, bitIndex2)),
% 73.22/46.04 inference(unit_resolution,[status(thm)],[15910, 15872])).
% 73.22/46.04 tff(15912,plain,
% 73.22/46.04 (v90(constB105, bitIndex2)),
% 73.22/46.04 inference(unit_resolution,[status(thm)],[15911, 15903])).
% 73.22/46.04 tff(15913,plain,
% 73.22/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 73.22/46.04 inference(rewrite,[status(thm)],[])).
% 73.22/46.04 tff(15914,plain,
% 73.22/46.04 (((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0))) <=> (v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 73.22/46.04 inference(rewrite,[status(thm)],[])).
% 73.22/46.04 tff(15915,plain,
% 73.22/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0))))),
% 73.22/46.04 inference(monotonicity,[status(thm)],[15914])).
% 73.22/46.04 tff(15916,plain,
% 73.22/46.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 73.22/46.04 inference(transitivity,[status(thm)],[15915, 15913])).
% 73.22/46.04 tff(15917,plain,
% 73.22/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 73.22/46.04 inference(quant_inst,[status(thm)],[])).
% 73.22/46.04 tff(15918,plain,
% 73.22/46.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0))),
% 73.22/46.04 inference(modus_ponens,[status(thm)],[15917, 15916])).
% 73.22/46.04 tff(15919,plain,
% 73.22/46.04 (v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0))),
% 73.22/46.04 inference(unit_resolution,[status(thm)],[15918, 130, 15860])).
% 73.22/46.04 tff(15920,plain,
% 73.22/46.04 (v90(constB104, bitIndex0) | (~v90(constB105, bitIndex0))),
% 73.22/46.04 inference(unit_resolution,[status(thm)],[15919, 15872])).
% 73.22/46.04 tff(15921,plain,
% 73.22/46.04 (~v90(constB105, bitIndex0)),
% 73.22/46.04 inference(unit_resolution,[status(thm)],[15920, 15838])).
% 73.22/46.04 tff(15922,plain,
% 73.22/46.04 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | v123(constB105))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | v123(constB105))),
% 73.22/46.04 inference(rewrite,[status(thm)],[])).
% 73.22/46.04 tff(15923,plain,
% 73.22/46.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | v123(constB105))),
% 73.22/46.04 inference(quant_inst,[status(thm)],[])).
% 73.22/46.04 tff(15924,plain,
% 73.22/46.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | v123(constB105)),
% 73.22/46.04 inference(modus_ponens,[status(thm)],[15923, 15922])).
% 73.22/46.04 tff(15925,plain,
% 73.22/46.04 (v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | v123(constB105)),
% 73.22/46.04 inference(unit_resolution,[status(thm)],[15924, 1477, 15921])).
% 73.22/46.04 tff(15926,plain,
% 73.22/46.04 (v123(constB105)),
% 73.22/46.04 inference(unit_resolution,[status(thm)],[15925, 15912, 15881])).
% 73.22/46.04 tff(15927,plain,
% 73.22/46.04 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB105)) | (~v130(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB105)) | (~v130(constB105, bitIndex1)))),
% 73.22/46.04 inference(rewrite,[status(thm)],[])).
% 73.22/46.04 tff(15928,plain,
% 73.22/46.04 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB105)) | (~v130(constB105, bitIndex1)))),
% 73.22/46.04 inference(quant_inst,[status(thm)],[])).
% 73.22/46.04 tff(15929,plain,
% 73.22/46.04 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB105)) | (~v130(constB105, bitIndex1))),
% 73.22/46.04 inference(modus_ponens,[status(thm)],[15928, 15927])).
% 73.22/46.04 tff(15930,plain,
% 73.22/46.04 (~v130(constB105, bitIndex1)),
% 73.22/46.04 inference(unit_resolution,[status(thm)],[15929, 1622, 15926])).
% 73.22/46.04 tff(15931,assumption,(v127(constB105, bitIndex1)), introduced(assumption)).
% 73.22/46.04 tff(15932,assumption,(~v130(constB105, bitIndex1)), introduced(assumption)).
% 73.22/46.04 tff(15933,plain,
% 73.22/46.04 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))),
% 73.22/46.04 inference(rewrite,[status(thm)],[])).
% 73.22/46.04 tff(15934,plain,
% 73.22/46.04 ((v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1))) <=> ((~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))),
% 73.22/46.04 inference(rewrite,[status(thm)],[])).
% 73.22/46.04 tff(15935,plain,
% 73.22/46.04 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1)))),
% 73.22/46.05 inference(monotonicity,[status(thm)],[15934])).
% 73.22/46.05 tff(15936,plain,
% 73.22/46.05 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))),
% 73.22/46.05 inference(transitivity,[status(thm)],[15935, 15933])).
% 73.22/46.05 tff(15937,plain,
% 73.22/46.05 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1)))),
% 73.22/46.05 inference(quant_inst,[status(thm)],[])).
% 73.22/46.05 tff(15938,plain,
% 73.22/46.05 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1)),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[15937, 15936])).
% 73.22/46.05 tff(15939,plain,
% 73.22/46.05 ((~v127(constB105, bitIndex1)) | v26(constB105)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[15938, 555, 15932])).
% 73.22/46.05 tff(15940,plain,
% 73.22/46.05 (v26(constB105)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[15939, 15931])).
% 73.22/46.05 tff(15941,plain,
% 73.22/46.05 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB105)) | (~v127(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB105)) | (~v127(constB105, bitIndex1)))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(15942,plain,
% 73.22/46.05 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB105)) | (~v127(constB105, bitIndex1)))),
% 73.22/46.05 inference(quant_inst,[status(thm)],[])).
% 73.22/46.05 tff(15943,plain,
% 73.22/46.05 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB105)) | (~v127(constB105, bitIndex1))),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[15942, 15941])).
% 73.22/46.05 tff(15944,plain,
% 73.22/46.05 ($false),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[15943, 573, 15931, 15940])).
% 73.22/46.05 tff(15945,plain,((~v127(constB105, bitIndex1)) | v130(constB105, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 73.22/46.05 tff(15946,plain,
% 73.22/46.05 (~v127(constB105, bitIndex1)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[15945, 15930])).
% 73.22/46.05 tff(15947,plain,
% 73.22/46.05 (nextState(constB105, constB106) <=> nextState(constB105, constB106)),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(15948,axiom,(nextState(constB105, constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_105_1')).
% 73.22/46.05 tff(15949,plain,
% 73.22/46.05 (nextState(constB105, constB106)),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[15948, 15947])).
% 73.22/46.05 tff(15950,plain,
% 73.22/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1)))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(15951,plain,
% 73.22/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1)))),
% 73.22/46.05 inference(quant_inst,[status(thm)],[])).
% 73.22/46.05 tff(15952,plain,
% 73.22/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1))),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[15951, 15950])).
% 73.22/46.05 tff(15953,plain,
% 73.22/46.05 (v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1))),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[15952, 588, 15949])).
% 73.22/46.05 tff(15954,plain,
% 73.22/46.05 (~v129(constB106, bitIndex1)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[15953, 15946])).
% 73.22/46.05 tff(15955,assumption,(v123(constB105)), introduced(assumption)).
% 73.22/46.05 tff(15956,plain,
% 73.22/46.05 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB105) | (~v123(constB105)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB105) | (~v123(constB105)))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(15957,plain,
% 73.22/46.05 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB105) | (~v123(constB105)))),
% 73.22/46.05 inference(quant_inst,[status(thm)],[])).
% 73.22/46.05 tff(15958,plain,
% 73.22/46.05 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB105) | (~v123(constB105))),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[15957, 15956])).
% 73.22/46.05 tff(15959,plain,
% 73.22/46.05 (v115(constB105)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[15958, 1488, 15955])).
% 73.22/46.05 tff(15960,plain,
% 73.22/46.05 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB105) | (~v115(constB105)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB105) | (~v115(constB105)))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(15961,plain,
% 73.22/46.05 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB105) | (~v115(constB105)))),
% 73.22/46.05 inference(quant_inst,[status(thm)],[])).
% 73.22/46.05 tff(15962,plain,
% 73.22/46.05 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB105) | (~v115(constB105))),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[15961, 15960])).
% 73.22/46.05 tff(15963,plain,
% 73.22/46.05 (v114(constB105)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[15962, 276, 15959])).
% 73.22/46.05 tff(15964,plain,
% 73.22/46.05 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB105)) | v130(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB105)) | v130(constB105, bitIndex0))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(15965,plain,
% 73.22/46.05 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB105)) | v130(constB105, bitIndex0))),
% 73.22/46.05 inference(quant_inst,[status(thm)],[])).
% 73.22/46.05 tff(15966,plain,
% 73.22/46.05 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB105)) | v130(constB105, bitIndex0)),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[15965, 15964])).
% 73.22/46.05 tff(15967,plain,
% 73.22/46.05 (v130(constB105, bitIndex0)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[15966, 1666, 15955])).
% 73.22/46.05 tff(15968,assumption,(v26(constB105)), introduced(assumption)).
% 73.22/46.05 tff(15969,plain,
% 73.22/46.05 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB105))),
% 73.22/46.05 inference(quant_inst,[status(thm)],[])).
% 73.22/46.05 tff(15970,plain,
% 73.22/46.05 ($false),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[15969, 37, 15968])).
% 73.22/46.05 tff(15971,plain,(~v26(constB105)), inference(lemma,lemma(discharge,[]))).
% 73.22/46.05 tff(15972,plain,
% 73.22/46.05 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(15973,plain,
% 73.22/46.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0))),
% 73.22/46.05 inference(quant_inst,[status(thm)],[])).
% 73.22/46.05 tff(15974,plain,
% 73.22/46.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0)),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[15973, 15972])).
% 73.22/46.05 tff(15975,plain,
% 73.22/46.05 ((~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[15974, 179, 15971])).
% 73.22/46.05 tff(15976,plain,
% 73.22/46.05 (v127(constB105, bitIndex0)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[15975, 15967])).
% 73.22/46.05 tff(15977,plain,
% 73.22/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(15978,plain,
% 73.22/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0))),
% 73.22/46.05 inference(quant_inst,[status(thm)],[])).
% 73.22/46.05 tff(15979,plain,
% 73.22/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0)),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[15978, 15977])).
% 73.22/46.05 tff(15980,plain,
% 73.22/46.05 ((~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[15979, 197, 15949])).
% 73.22/46.05 tff(15981,plain,
% 73.22/46.05 (v129(constB106, bitIndex0)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[15980, 15976])).
% 73.22/46.05 tff(15982,assumption,(~v90(constB106, bitIndex0)), introduced(assumption)).
% 73.22/46.05 tff(15983,plain,
% 73.22/46.05 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(15984,plain,
% 73.22/46.05 ((v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0))) <=> (v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(15985,plain,
% 73.22/46.05 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106))))),
% 73.22/46.05 inference(monotonicity,[status(thm)],[15984])).
% 73.22/46.05 tff(15986,plain,
% 73.22/46.05 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))),
% 73.22/46.05 inference(transitivity,[status(thm)],[15985, 15983])).
% 73.22/46.05 tff(15987,plain,
% 73.22/46.05 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0)))),
% 73.22/46.05 inference(quant_inst,[status(thm)],[])).
% 73.22/46.05 tff(15988,plain,
% 73.22/46.05 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106))),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[15987, 15986])).
% 73.22/46.05 tff(15989,plain,
% 73.22/46.05 ((~v129(constB106, bitIndex0)) | (~v100(constB106))),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[15988, 401, 15982])).
% 73.22/46.05 tff(15990,plain,
% 73.22/46.05 (~v100(constB106)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[15989, 15981])).
% 73.22/46.05 tff(15991,plain,
% 73.22/46.05 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(15992,plain,
% 73.22/46.05 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))),
% 73.22/46.05 inference(quant_inst,[status(thm)],[])).
% 73.22/46.05 tff(15993,plain,
% 73.22/46.05 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106))),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[15992, 15991])).
% 73.22/46.05 tff(15994,plain,
% 73.22/46.05 (~v104(constB106)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[15993, 335, 15949, 15857])).
% 73.22/46.05 tff(15995,plain,
% 73.22/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(15996,plain,
% 73.22/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))),
% 73.22/46.05 inference(quant_inst,[status(thm)],[])).
% 73.22/46.05 tff(15997,plain,
% 73.22/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v102(constB106) | v104(constB106)),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[15996, 15995])).
% 73.22/46.05 tff(15998,plain,
% 73.22/46.05 (v102(constB106) | v104(constB106)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[15997, 349, 15949])).
% 73.22/46.05 tff(15999,plain,
% 73.22/46.05 (v102(constB106)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[15998, 15994])).
% 73.22/46.05 tff(16000,plain,
% 73.22/46.05 (v1(constB106) <=> v1(constB106)),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(16001,axiom,(v1(constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_106_1')).
% 73.22/46.05 tff(16002,plain,
% 73.22/46.05 (v1(constB106)),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[16001, 16000])).
% 73.22/46.05 tff(16003,plain,
% 73.22/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(16004,plain,
% 73.22/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))),
% 73.22/46.05 inference(quant_inst,[status(thm)],[])).
% 73.22/46.05 tff(16005,plain,
% 73.22/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106))),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[16004, 16003])).
% 73.22/46.05 tff(16006,plain,
% 73.22/46.05 (v101(constB106) | (~v102(constB106))),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[16005, 367, 15949, 16002])).
% 73.22/46.05 tff(16007,plain,
% 73.22/46.05 (v101(constB106)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[16006, 15999])).
% 73.22/46.05 tff(16008,plain,
% 73.22/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(16009,plain,
% 73.22/46.05 (((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106)) <=> ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(16010,plain,
% 73.22/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106))))),
% 73.22/46.05 inference(monotonicity,[status(thm)],[16009])).
% 73.22/46.05 tff(16011,plain,
% 73.22/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 73.22/46.05 inference(transitivity,[status(thm)],[16010, 16008])).
% 73.22/46.05 tff(16012,plain,
% 73.22/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))),
% 73.22/46.05 inference(quant_inst,[status(thm)],[])).
% 73.22/46.05 tff(16013,plain,
% 73.22/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106))),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[16012, 16011])).
% 73.22/46.05 tff(16014,plain,
% 73.22/46.05 (v100(constB106) | (~v101(constB106)) | (~v110(constB106))),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[16013, 382, 15949])).
% 73.22/46.05 tff(16015,plain,
% 73.22/46.05 (v100(constB106) | (~v110(constB106))),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[16014, 16007])).
% 73.22/46.05 tff(16016,plain,
% 73.22/46.05 (~v110(constB106)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[16015, 15990])).
% 73.22/46.05 tff(16017,plain,
% 73.22/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(16018,plain,
% 73.22/46.05 (((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106)) <=> ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(16019,plain,
% 73.22/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105))))),
% 73.22/46.05 inference(monotonicity,[status(thm)],[16018])).
% 73.22/46.05 tff(16020,plain,
% 73.22/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 73.22/46.05 inference(transitivity,[status(thm)],[16019, 16017])).
% 73.22/46.05 tff(16021,plain,
% 73.22/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))),
% 73.22/46.05 inference(quant_inst,[status(thm)],[])).
% 73.22/46.05 tff(16022,plain,
% 73.22/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105))),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[16021, 16020])).
% 73.22/46.05 tff(16023,plain,
% 73.22/46.05 (v110(constB106) | (~v108(constB105))),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[16022, 317, 15949])).
% 73.22/46.05 tff(16024,plain,
% 73.22/46.05 (~v108(constB105)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[16023, 16016])).
% 73.22/46.05 tff(16025,plain,
% 73.22/46.05 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB105) | (~v112(constB105)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB105) | (~v112(constB105)))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(16026,plain,
% 73.22/46.05 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB105) | (~v112(constB105)))),
% 73.22/46.05 inference(quant_inst,[status(thm)],[])).
% 73.22/46.05 tff(16027,plain,
% 73.22/46.05 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB105) | (~v112(constB105))),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[16026, 16025])).
% 73.22/46.05 tff(16028,plain,
% 73.22/46.05 (~v112(constB105)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[16027, 210, 16024])).
% 73.22/46.05 tff(16029,plain,
% 73.22/46.05 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | (~v113(constB105)) | v112(constB105))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(16030,plain,
% 73.22/46.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))),
% 73.22/46.05 inference(quant_inst,[status(thm)],[])).
% 73.22/46.05 tff(16031,plain,
% 73.22/46.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | (~v113(constB105)) | v112(constB105)),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[16030, 16029])).
% 73.22/46.05 tff(16032,plain,
% 73.22/46.05 ((~v113(constB105)) | v112(constB105)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[16031, 301, 15971])).
% 73.22/46.05 tff(16033,plain,
% 73.22/46.05 (~v113(constB105)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[16032, 16028])).
% 73.22/46.05 tff(16034,plain,
% 73.22/46.05 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB105) | (~v114(constB105)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB105) | (~v114(constB105)))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(16035,plain,
% 73.22/46.05 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB105) | (~v114(constB105)))),
% 73.22/46.05 inference(quant_inst,[status(thm)],[])).
% 73.22/46.05 tff(16036,plain,
% 73.22/46.05 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB105) | (~v114(constB105))),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[16035, 16034])).
% 73.22/46.05 tff(16037,plain,
% 73.22/46.05 ($false),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[16036, 287, 16033, 15963])).
% 73.22/46.05 tff(16038,plain,((~v123(constB105)) | v90(constB106, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.22/46.05 tff(16039,plain,
% 73.22/46.05 (v90(constB106, bitIndex0)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[16038, 15926])).
% 73.22/46.05 tff(16040,plain,
% 73.22/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB105, bitIndex0) | (~nextState(constB105, constB106)) | v100(constB106) | (~v90(constB106, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB105, bitIndex0) | (~nextState(constB105, constB106)) | v100(constB106) | (~v90(constB106, bitIndex0)))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(16041,plain,
% 73.22/46.05 (((~nextState(constB105, constB106)) | v90(constB105, bitIndex0) | v100(constB106) | (~v90(constB106, bitIndex0))) <=> (v90(constB105, bitIndex0) | (~nextState(constB105, constB106)) | v100(constB106) | (~v90(constB106, bitIndex0)))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(16042,plain,
% 73.22/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB105, constB106)) | v90(constB105, bitIndex0) | v100(constB106) | (~v90(constB106, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB105, bitIndex0) | (~nextState(constB105, constB106)) | v100(constB106) | (~v90(constB106, bitIndex0))))),
% 73.22/46.05 inference(monotonicity,[status(thm)],[16041])).
% 73.22/46.05 tff(16043,plain,
% 73.22/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB105, constB106)) | v90(constB105, bitIndex0) | v100(constB106) | (~v90(constB106, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB105, bitIndex0) | (~nextState(constB105, constB106)) | v100(constB106) | (~v90(constB106, bitIndex0)))),
% 73.22/46.05 inference(transitivity,[status(thm)],[16042, 16040])).
% 73.22/46.05 tff(16044,plain,
% 73.22/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB105, constB106)) | v90(constB105, bitIndex0) | v100(constB106) | (~v90(constB106, bitIndex0)))),
% 73.22/46.05 inference(quant_inst,[status(thm)],[])).
% 73.22/46.05 tff(16045,plain,
% 73.22/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB105, bitIndex0) | (~nextState(constB105, constB106)) | v100(constB106) | (~v90(constB106, bitIndex0))),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[16044, 16043])).
% 73.22/46.05 tff(16046,plain,
% 73.22/46.05 (v90(constB105, bitIndex0) | v100(constB106) | (~v90(constB106, bitIndex0))),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[16045, 130, 15949])).
% 73.22/46.05 tff(16047,plain,
% 73.22/46.05 (v100(constB106)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[16046, 16039, 15921])).
% 73.22/46.05 tff(16048,plain,
% 73.22/46.05 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(16049,plain,
% 73.22/46.05 (((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1)) <=> ((~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(16050,plain,
% 73.22/46.05 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106))))),
% 73.22/46.05 inference(monotonicity,[status(thm)],[16049])).
% 73.22/46.05 tff(16051,plain,
% 73.22/46.05 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))),
% 73.22/46.05 inference(transitivity,[status(thm)],[16050, 16048])).
% 73.22/46.05 tff(16052,plain,
% 73.22/46.05 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1))),
% 73.22/46.05 inference(quant_inst,[status(thm)],[])).
% 73.22/46.05 tff(16053,plain,
% 73.22/46.05 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106))),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[16052, 16051])).
% 73.22/46.05 tff(16054,plain,
% 73.22/46.05 ((~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[16053, 603, 16047])).
% 73.22/46.05 tff(16055,plain,
% 73.22/46.05 (~v90(constB106, bitIndex1)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[16054, 15954])).
% 73.22/46.05 tff(16056,plain,
% 73.22/46.05 ((~v1(constB107)) <=> (~v1(constB107))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(16057,axiom,(~v1(constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_107_1_1')).
% 73.22/46.05 tff(16058,plain,
% 73.22/46.05 (~v1(constB107)),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[16057, 16056])).
% 73.22/46.05 tff(16059,plain,
% 73.22/46.05 (nextState(constB106, constB107) <=> nextState(constB106, constB107)),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(16060,axiom,(nextState(constB106, constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_106_1')).
% 73.22/46.05 tff(16061,plain,
% 73.22/46.05 (nextState(constB106, constB107)),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[16060, 16059])).
% 73.22/46.05 tff(16062,plain,
% 73.22/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(16063,plain,
% 73.22/46.05 (((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107)) <=> (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(16064,plain,
% 73.22/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107))))),
% 73.22/46.05 inference(monotonicity,[status(thm)],[16063])).
% 73.22/46.05 tff(16065,plain,
% 73.22/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 73.22/46.05 inference(transitivity,[status(thm)],[16064, 16062])).
% 73.22/46.05 tff(16066,plain,
% 73.22/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))),
% 73.22/46.05 inference(quant_inst,[status(thm)],[])).
% 73.22/46.05 tff(16067,plain,
% 73.22/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107))),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[16066, 16065])).
% 73.22/46.05 tff(16068,plain,
% 73.22/46.05 (~v101(constB107)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[16067, 56, 16061, 16058])).
% 73.22/46.05 tff(16069,plain,
% 73.22/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(16070,plain,
% 73.22/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))),
% 73.22/46.05 inference(quant_inst,[status(thm)],[])).
% 73.22/46.05 tff(16071,plain,
% 73.22/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107))),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[16070, 16069])).
% 73.22/46.05 tff(16072,plain,
% 73.22/46.05 (v101(constB107) | (~v100(constB107))),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[16071, 73, 16061])).
% 73.22/46.05 tff(16073,plain,
% 73.22/46.05 (~v100(constB107)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[16072, 16068])).
% 73.22/46.05 tff(16074,plain,
% 73.22/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(16075,plain,
% 73.22/46.05 (((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1))) <=> (v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(16076,plain,
% 73.22/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1))))),
% 73.22/46.05 inference(monotonicity,[status(thm)],[16075])).
% 73.22/46.05 tff(16077,plain,
% 73.22/46.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 73.22/46.05 inference(transitivity,[status(thm)],[16076, 16074])).
% 73.22/46.05 tff(16078,plain,
% 73.22/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 73.22/46.05 inference(quant_inst,[status(thm)],[])).
% 73.22/46.05 tff(16079,plain,
% 73.22/46.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1))),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[16078, 16077])).
% 73.22/46.05 tff(16080,plain,
% 73.22/46.05 (v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1))),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[16079, 109, 16061])).
% 73.22/46.05 tff(16081,plain,
% 73.22/46.05 (v90(constB106, bitIndex1) | (~v90(constB107, bitIndex1))),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[16080, 16073])).
% 73.22/46.05 tff(16082,plain,
% 73.22/46.05 (~v90(constB107, bitIndex1)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[16081, 16055])).
% 73.22/46.05 tff(16083,plain,
% 73.22/46.05 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB105)) | v130(constB105, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB105)) | v130(constB105, bitIndex2))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(16084,plain,
% 73.22/46.05 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB105)) | v130(constB105, bitIndex2))),
% 73.22/46.05 inference(quant_inst,[status(thm)],[])).
% 73.22/46.05 tff(16085,plain,
% 73.22/46.05 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB105)) | v130(constB105, bitIndex2)),
% 73.22/46.05 inference(modus_ponens,[status(thm)],[16084, 16083])).
% 73.22/46.05 tff(16086,plain,
% 73.22/46.05 (v130(constB105, bitIndex2)),
% 73.22/46.05 inference(unit_resolution,[status(thm)],[16085, 1563, 15926])).
% 73.22/46.05 tff(16087,plain,
% 73.22/46.05 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB105) | (~v130(constB105, bitIndex2)) | v127(constB105, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB105) | (~v130(constB105, bitIndex2)) | v127(constB105, bitIndex2))),
% 73.22/46.05 inference(rewrite,[status(thm)],[])).
% 73.22/46.05 tff(16088,plain,
% 73.22/46.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB105) | (~v130(constB105, bitIndex2)) | v127(constB105, bitIndex2))),
% 73.22/46.06 inference(quant_inst,[status(thm)],[])).
% 73.22/46.06 tff(16089,plain,
% 73.22/46.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB105) | (~v130(constB105, bitIndex2)) | v127(constB105, bitIndex2)),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16088, 16087])).
% 73.22/46.06 tff(16090,plain,
% 73.22/46.06 ((~v130(constB105, bitIndex2)) | v127(constB105, bitIndex2)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16089, 1304, 15971])).
% 73.22/46.06 tff(16091,plain,
% 73.22/46.06 (v127(constB105, bitIndex2)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16090, 16086])).
% 73.22/46.06 tff(16092,plain,
% 73.22/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex2)) | v129(constB106, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex2)) | v129(constB106, bitIndex2))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16093,plain,
% 73.22/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex2)) | v129(constB106, bitIndex2))),
% 73.22/46.06 inference(quant_inst,[status(thm)],[])).
% 73.22/46.06 tff(16094,plain,
% 73.22/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex2)) | v129(constB106, bitIndex2)),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16093, 16092])).
% 73.22/46.06 tff(16095,plain,
% 73.22/46.06 ((~v127(constB105, bitIndex2)) | v129(constB106, bitIndex2)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16094, 1319, 15949])).
% 73.22/46.06 tff(16096,plain,
% 73.22/46.06 (v129(constB106, bitIndex2)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16095, 16091])).
% 73.22/46.06 tff(16097,plain,
% 73.22/46.06 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2)) | (~v100(constB106)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2)) | (~v100(constB106)))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16098,plain,
% 73.22/46.06 ((v90(constB106, bitIndex2) | (~v100(constB106)) | (~v129(constB106, bitIndex2))) <=> (v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2)) | (~v100(constB106)))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16099,plain,
% 73.22/46.06 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~v100(constB106)) | (~v129(constB106, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2)) | (~v100(constB106))))),
% 73.22/46.06 inference(monotonicity,[status(thm)],[16098])).
% 73.22/46.06 tff(16100,plain,
% 73.22/46.06 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~v100(constB106)) | (~v129(constB106, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2)) | (~v100(constB106)))),
% 73.22/46.06 inference(transitivity,[status(thm)],[16099, 16097])).
% 73.22/46.06 tff(16101,plain,
% 73.22/46.06 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB106, bitIndex2) | (~v100(constB106)) | (~v129(constB106, bitIndex2)))),
% 73.22/46.06 inference(quant_inst,[status(thm)],[])).
% 73.22/46.06 tff(16102,plain,
% 73.22/46.06 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2)) | (~v100(constB106))),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16101, 16100])).
% 73.22/46.06 tff(16103,plain,
% 73.22/46.06 (v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2))),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16102, 1334, 16047])).
% 73.22/46.06 tff(16104,plain,
% 73.22/46.06 (v90(constB106, bitIndex2)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16103, 16096])).
% 73.22/46.06 tff(16105,plain,
% 73.22/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex2))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16106,plain,
% 73.22/46.06 (((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex2)) | v100(constB107) | v90(constB107, bitIndex2)) <=> ((~v90(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex2))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16107,plain,
% 73.22/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex2)) | v100(constB107) | v90(constB107, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex2)))),
% 73.22/46.06 inference(monotonicity,[status(thm)],[16106])).
% 73.22/46.06 tff(16108,plain,
% 73.22/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex2)) | v100(constB107) | v90(constB107, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex2))),
% 73.22/46.06 inference(transitivity,[status(thm)],[16107, 16105])).
% 73.22/46.06 tff(16109,plain,
% 73.22/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex2)) | v100(constB107) | v90(constB107, bitIndex2))),
% 73.22/46.06 inference(quant_inst,[status(thm)],[])).
% 73.22/46.06 tff(16110,plain,
% 73.22/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex2)),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16109, 16108])).
% 73.22/46.06 tff(16111,plain,
% 73.22/46.06 ((~v90(constB106, bitIndex2)) | v100(constB107) | v90(constB107, bitIndex2)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16110, 1370, 16061])).
% 73.22/46.06 tff(16112,plain,
% 73.22/46.06 ((~v90(constB106, bitIndex2)) | v90(constB107, bitIndex2)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16111, 16073])).
% 73.22/46.06 tff(16113,plain,
% 73.22/46.06 (v90(constB107, bitIndex2)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16112, 16104])).
% 73.22/46.06 tff(16114,plain,
% 73.22/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16115,plain,
% 73.22/46.06 (((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0)) <=> ((~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16116,plain,
% 73.22/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0)))),
% 73.22/46.06 inference(monotonicity,[status(thm)],[16115])).
% 73.22/46.06 tff(16117,plain,
% 73.22/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))),
% 73.22/46.06 inference(transitivity,[status(thm)],[16116, 16114])).
% 73.22/46.06 tff(16118,plain,
% 73.22/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0))),
% 73.22/46.06 inference(quant_inst,[status(thm)],[])).
% 73.22/46.06 tff(16119,plain,
% 73.22/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0)),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16118, 16117])).
% 73.22/46.06 tff(16120,plain,
% 73.22/46.06 ((~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16119, 437, 16061])).
% 73.22/46.06 tff(16121,plain,
% 73.22/46.06 ((~v90(constB106, bitIndex0)) | v90(constB107, bitIndex0)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16120, 16073])).
% 73.22/46.06 tff(16122,plain,
% 73.22/46.06 (v90(constB107, bitIndex0)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16121, 16039])).
% 73.22/46.06 tff(16123,plain,
% 73.22/46.06 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v124(constB107))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v124(constB107))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16124,plain,
% 73.22/46.06 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v124(constB107))),
% 73.22/46.06 inference(quant_inst,[status(thm)],[])).
% 73.22/46.06 tff(16125,plain,
% 73.22/46.06 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v124(constB107)),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16124, 16123])).
% 73.22/46.06 tff(16126,plain,
% 73.22/46.06 (v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | v124(constB107)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16125, 1707, 16122])).
% 73.22/46.06 tff(16127,plain,
% 73.22/46.06 (v124(constB107)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16126, 16113, 16082])).
% 73.22/46.06 tff(16128,plain,
% 73.22/46.06 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB107) | (~v124(constB107)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB107) | (~v124(constB107)))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16129,plain,
% 73.22/46.06 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB107) | (~v124(constB107)))),
% 73.22/46.06 inference(quant_inst,[status(thm)],[])).
% 73.22/46.06 tff(16130,plain,
% 73.22/46.06 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB107) | (~v124(constB107))),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16129, 16128])).
% 73.22/46.06 tff(16131,plain,
% 73.22/46.06 (v114(constB107)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16130, 1718, 16127])).
% 73.22/46.06 tff(16132,plain,
% 73.22/46.06 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB107) | (~v114(constB107)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB107) | (~v114(constB107)))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16133,plain,
% 73.22/46.06 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB107) | (~v114(constB107)))),
% 73.22/46.06 inference(quant_inst,[status(thm)],[])).
% 73.22/46.06 tff(16134,plain,
% 73.22/46.06 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB107) | (~v114(constB107))),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16133, 16132])).
% 73.22/46.06 tff(16135,plain,
% 73.22/46.06 (v113(constB107)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16134, 287, 16131])).
% 73.22/46.06 tff(16136,assumption,(~v108(constB107)), introduced(assumption)).
% 73.22/46.06 tff(16137,plain,
% 73.22/46.06 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB107) | (~v112(constB107)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB107) | (~v112(constB107)))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16138,plain,
% 73.22/46.06 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB107) | (~v112(constB107)))),
% 73.22/46.06 inference(quant_inst,[status(thm)],[])).
% 73.22/46.06 tff(16139,plain,
% 73.22/46.06 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB107) | (~v112(constB107))),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16138, 16137])).
% 73.22/46.06 tff(16140,plain,
% 73.22/46.06 (~v112(constB107)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16139, 210, 16136])).
% 73.22/46.06 tff(16141,plain,
% 73.22/46.06 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB107) | (~v26(constB107)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB107) | (~v26(constB107)))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16142,plain,
% 73.22/46.06 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB107) | (~v26(constB107)))),
% 73.22/46.06 inference(quant_inst,[status(thm)],[])).
% 73.22/46.06 tff(16143,plain,
% 73.22/46.06 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB107) | (~v26(constB107))),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16142, 16141])).
% 73.22/46.06 tff(16144,plain,
% 73.22/46.06 (~v26(constB107)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16143, 221, 16136])).
% 73.22/46.06 tff(16145,assumption,(v113(constB107)), introduced(assumption)).
% 73.22/46.06 tff(16146,plain,
% 73.22/46.06 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | v112(constB107) | (~v113(constB107)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | v112(constB107) | (~v113(constB107)))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16147,plain,
% 73.22/46.06 ((v26(constB107) | (~v113(constB107)) | v112(constB107)) <=> (v26(constB107) | v112(constB107) | (~v113(constB107)))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16148,plain,
% 73.22/46.06 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | v112(constB107) | (~v113(constB107))))),
% 73.22/46.06 inference(monotonicity,[status(thm)],[16147])).
% 73.22/46.06 tff(16149,plain,
% 73.22/46.06 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | v112(constB107) | (~v113(constB107)))),
% 73.22/46.06 inference(transitivity,[status(thm)],[16148, 16146])).
% 73.22/46.06 tff(16150,plain,
% 73.22/46.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))),
% 73.22/46.06 inference(quant_inst,[status(thm)],[])).
% 73.22/46.06 tff(16151,plain,
% 73.22/46.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | v112(constB107) | (~v113(constB107))),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16150, 16149])).
% 73.22/46.06 tff(16152,plain,
% 73.22/46.06 (v26(constB107) | v112(constB107)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16151, 301, 16145])).
% 73.22/46.06 tff(16153,plain,
% 73.22/46.06 ($false),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16152, 16144, 16140])).
% 73.22/46.06 tff(16154,plain,(v108(constB107) | (~v113(constB107))), inference(lemma,lemma(discharge,[]))).
% 73.22/46.06 tff(16155,plain,
% 73.22/46.06 (v108(constB107)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16154, 16135])).
% 73.22/46.06 tff(16156,plain,
% 73.22/46.06 (nextState(constB107, constB108) <=> nextState(constB107, constB108)),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16157,axiom,(nextState(constB107, constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_107_1')).
% 73.22/46.06 tff(16158,plain,
% 73.22/46.06 (nextState(constB107, constB108)),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16157, 16156])).
% 73.22/46.06 tff(16159,plain,
% 73.22/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16160,plain,
% 73.22/46.06 (((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108)) <=> ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16161,plain,
% 73.22/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107))))),
% 73.22/46.06 inference(monotonicity,[status(thm)],[16160])).
% 73.22/46.06 tff(16162,plain,
% 73.22/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 73.22/46.06 inference(transitivity,[status(thm)],[16161, 16159])).
% 73.22/46.06 tff(16163,plain,
% 73.22/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))),
% 73.22/46.06 inference(quant_inst,[status(thm)],[])).
% 73.22/46.06 tff(16164,plain,
% 73.22/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107))),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16163, 16162])).
% 73.22/46.06 tff(16165,plain,
% 73.22/46.06 (v110(constB108) | (~v108(constB107))),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16164, 317, 16158])).
% 73.22/46.06 tff(16166,plain,
% 73.22/46.06 (v110(constB108)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16165, 16155])).
% 73.22/46.06 tff(16167,plain,
% 73.22/46.06 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16168,plain,
% 73.22/46.06 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))),
% 73.22/46.06 inference(quant_inst,[status(thm)],[])).
% 73.22/46.06 tff(16169,plain,
% 73.22/46.06 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108))),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16168, 16167])).
% 73.22/46.06 tff(16170,plain,
% 73.22/46.06 (~v104(constB108)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16169, 335, 16158, 16058])).
% 73.22/46.06 tff(16171,plain,
% 73.22/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16172,plain,
% 73.22/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))),
% 73.22/46.06 inference(quant_inst,[status(thm)],[])).
% 73.22/46.06 tff(16173,plain,
% 73.22/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v102(constB108) | v104(constB108)),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16172, 16171])).
% 73.22/46.06 tff(16174,plain,
% 73.22/46.06 (v102(constB108) | v104(constB108)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16173, 349, 16158])).
% 73.22/46.06 tff(16175,plain,
% 73.22/46.06 (v102(constB108)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16174, 16170])).
% 73.22/46.06 tff(16176,plain,
% 73.22/46.06 (v1(constB108) <=> v1(constB108)),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16177,axiom,(v1(constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_108_1')).
% 73.22/46.06 tff(16178,plain,
% 73.22/46.06 (v1(constB108)),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16177, 16176])).
% 73.22/46.06 tff(16179,plain,
% 73.22/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16180,plain,
% 73.22/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))),
% 73.22/46.06 inference(quant_inst,[status(thm)],[])).
% 73.22/46.06 tff(16181,plain,
% 73.22/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108))),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16180, 16179])).
% 73.22/46.06 tff(16182,plain,
% 73.22/46.06 (v101(constB108) | (~v102(constB108))),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16181, 367, 16158, 16178])).
% 73.22/46.06 tff(16183,plain,
% 73.22/46.06 (v101(constB108)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16182, 16175])).
% 73.22/46.06 tff(16184,plain,
% 73.22/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16185,plain,
% 73.22/46.06 (((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108)) <=> ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16186,plain,
% 73.22/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108))))),
% 73.22/46.06 inference(monotonicity,[status(thm)],[16185])).
% 73.22/46.06 tff(16187,plain,
% 73.22/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 73.22/46.06 inference(transitivity,[status(thm)],[16186, 16184])).
% 73.22/46.06 tff(16188,plain,
% 73.22/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))),
% 73.22/46.06 inference(quant_inst,[status(thm)],[])).
% 73.22/46.06 tff(16189,plain,
% 73.22/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108))),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16188, 16187])).
% 73.22/46.06 tff(16190,plain,
% 73.22/46.06 (v100(constB108) | (~v101(constB108)) | (~v110(constB108))),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16189, 382, 16158])).
% 73.22/46.06 tff(16191,plain,
% 73.22/46.06 (v100(constB108) | (~v110(constB108))),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16190, 16183])).
% 73.22/46.06 tff(16192,plain,
% 73.22/46.06 (v100(constB108)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16191, 16166])).
% 73.22/46.06 tff(16193,plain,
% 73.22/46.06 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB107)) | v130(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB107)) | v130(constB107, bitIndex2))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16194,plain,
% 73.22/46.06 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB107)) | v130(constB107, bitIndex2))),
% 73.22/46.06 inference(quant_inst,[status(thm)],[])).
% 73.22/46.06 tff(16195,plain,
% 73.22/46.06 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB107)) | v130(constB107, bitIndex2)),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16194, 16193])).
% 73.22/46.06 tff(16196,plain,
% 73.22/46.06 (v130(constB107, bitIndex2)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16195, 1786, 16127])).
% 73.22/46.06 tff(16197,assumption,(v26(constB107)), introduced(assumption)).
% 73.22/46.06 tff(16198,plain,
% 73.22/46.06 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB107))),
% 73.22/46.06 inference(quant_inst,[status(thm)],[])).
% 73.22/46.06 tff(16199,plain,
% 73.22/46.06 ($false),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16198, 37, 16197])).
% 73.22/46.06 tff(16200,plain,(~v26(constB107)), inference(lemma,lemma(discharge,[]))).
% 73.22/46.06 tff(16201,plain,
% 73.22/46.06 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB107) | (~v130(constB107, bitIndex2)) | v127(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB107) | (~v130(constB107, bitIndex2)) | v127(constB107, bitIndex2))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16202,plain,
% 73.22/46.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB107) | (~v130(constB107, bitIndex2)) | v127(constB107, bitIndex2))),
% 73.22/46.06 inference(quant_inst,[status(thm)],[])).
% 73.22/46.06 tff(16203,plain,
% 73.22/46.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB107) | (~v130(constB107, bitIndex2)) | v127(constB107, bitIndex2)),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16202, 16201])).
% 73.22/46.06 tff(16204,plain,
% 73.22/46.06 ((~v130(constB107, bitIndex2)) | v127(constB107, bitIndex2)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16203, 1304, 16200])).
% 73.22/46.06 tff(16205,plain,
% 73.22/46.06 (v127(constB107, bitIndex2)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16204, 16196])).
% 73.22/46.06 tff(16206,plain,
% 73.22/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex2)) | v129(constB108, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex2)) | v129(constB108, bitIndex2))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16207,plain,
% 73.22/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex2)) | v129(constB108, bitIndex2))),
% 73.22/46.06 inference(quant_inst,[status(thm)],[])).
% 73.22/46.06 tff(16208,plain,
% 73.22/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex2)) | v129(constB108, bitIndex2)),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16207, 16206])).
% 73.22/46.06 tff(16209,plain,
% 73.22/46.06 ((~v127(constB107, bitIndex2)) | v129(constB108, bitIndex2)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16208, 1319, 16158])).
% 73.22/46.06 tff(16210,plain,
% 73.22/46.06 (v129(constB108, bitIndex2)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16209, 16205])).
% 73.22/46.06 tff(16211,plain,
% 73.22/46.06 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2)) | (~v100(constB108)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2)) | (~v100(constB108)))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16212,plain,
% 73.22/46.06 ((v90(constB108, bitIndex2) | (~v100(constB108)) | (~v129(constB108, bitIndex2))) <=> (v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2)) | (~v100(constB108)))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16213,plain,
% 73.22/46.06 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~v100(constB108)) | (~v129(constB108, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2)) | (~v100(constB108))))),
% 73.22/46.06 inference(monotonicity,[status(thm)],[16212])).
% 73.22/46.06 tff(16214,plain,
% 73.22/46.06 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~v100(constB108)) | (~v129(constB108, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2)) | (~v100(constB108)))),
% 73.22/46.06 inference(transitivity,[status(thm)],[16213, 16211])).
% 73.22/46.06 tff(16215,plain,
% 73.22/46.06 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB108, bitIndex2) | (~v100(constB108)) | (~v129(constB108, bitIndex2)))),
% 73.22/46.06 inference(quant_inst,[status(thm)],[])).
% 73.22/46.06 tff(16216,plain,
% 73.22/46.06 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2)) | (~v100(constB108))),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16215, 16214])).
% 73.22/46.06 tff(16217,plain,
% 73.22/46.06 (v90(constB108, bitIndex2) | (~v100(constB108))),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16216, 1334, 16210])).
% 73.22/46.06 tff(16218,plain,
% 73.22/46.06 (v90(constB108, bitIndex2)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16217, 16192])).
% 73.22/46.06 tff(16219,plain,
% 73.22/46.06 ((~v1(constB109)) <=> (~v1(constB109))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16220,axiom,(~v1(constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_109_1_1')).
% 73.22/46.06 tff(16221,plain,
% 73.22/46.06 (~v1(constB109)),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16220, 16219])).
% 73.22/46.06 tff(16222,plain,
% 73.22/46.06 (nextState(constB108, constB109) <=> nextState(constB108, constB109)),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16223,axiom,(nextState(constB108, constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_108_1')).
% 73.22/46.06 tff(16224,plain,
% 73.22/46.06 (nextState(constB108, constB109)),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16223, 16222])).
% 73.22/46.06 tff(16225,plain,
% 73.22/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16226,plain,
% 73.22/46.06 (((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109)) <=> (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16227,plain,
% 73.22/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109))))),
% 73.22/46.06 inference(monotonicity,[status(thm)],[16226])).
% 73.22/46.06 tff(16228,plain,
% 73.22/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 73.22/46.06 inference(transitivity,[status(thm)],[16227, 16225])).
% 73.22/46.06 tff(16229,plain,
% 73.22/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))),
% 73.22/46.06 inference(quant_inst,[status(thm)],[])).
% 73.22/46.06 tff(16230,plain,
% 73.22/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109))),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16229, 16228])).
% 73.22/46.06 tff(16231,plain,
% 73.22/46.06 (~v101(constB109)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16230, 56, 16224, 16221])).
% 73.22/46.06 tff(16232,plain,
% 73.22/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16233,plain,
% 73.22/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))),
% 73.22/46.06 inference(quant_inst,[status(thm)],[])).
% 73.22/46.06 tff(16234,plain,
% 73.22/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109))),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16233, 16232])).
% 73.22/46.06 tff(16235,plain,
% 73.22/46.06 (v101(constB109) | (~v100(constB109))),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16234, 73, 16224])).
% 73.22/46.06 tff(16236,plain,
% 73.22/46.06 (~v100(constB109)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16235, 16231])).
% 73.22/46.06 tff(16237,plain,
% 73.22/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex2))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16238,plain,
% 73.22/46.06 (((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex2)) | v100(constB109) | v90(constB109, bitIndex2)) <=> ((~v90(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex2))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16239,plain,
% 73.22/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex2)) | v100(constB109) | v90(constB109, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex2)))),
% 73.22/46.06 inference(monotonicity,[status(thm)],[16238])).
% 73.22/46.06 tff(16240,plain,
% 73.22/46.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex2)) | v100(constB109) | v90(constB109, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex2))),
% 73.22/46.06 inference(transitivity,[status(thm)],[16239, 16237])).
% 73.22/46.06 tff(16241,plain,
% 73.22/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex2)) | v100(constB109) | v90(constB109, bitIndex2))),
% 73.22/46.06 inference(quant_inst,[status(thm)],[])).
% 73.22/46.06 tff(16242,plain,
% 73.22/46.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex2)),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16241, 16240])).
% 73.22/46.06 tff(16243,plain,
% 73.22/46.06 ((~v90(constB108, bitIndex2)) | v100(constB109) | v90(constB109, bitIndex2)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16242, 1370, 16224])).
% 73.22/46.06 tff(16244,plain,
% 73.22/46.06 ((~v90(constB108, bitIndex2)) | v90(constB109, bitIndex2)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16243, 16236])).
% 73.22/46.06 tff(16245,plain,
% 73.22/46.06 (v90(constB109, bitIndex2)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16244, 16218])).
% 73.22/46.06 tff(16246,plain,
% 73.22/46.06 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB109, bitIndex2)) | (~v122(constB109)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB109, bitIndex2)) | (~v122(constB109)))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16247,plain,
% 73.22/46.06 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB109, bitIndex2)) | (~v122(constB109)))),
% 73.22/46.06 inference(quant_inst,[status(thm)],[])).
% 73.22/46.06 tff(16248,plain,
% 73.22/46.06 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB109, bitIndex2)) | (~v122(constB109))),
% 73.22/46.06 inference(modus_ponens,[status(thm)],[16247, 16246])).
% 73.22/46.06 tff(16249,plain,
% 73.22/46.06 (~v122(constB109)),
% 73.22/46.06 inference(unit_resolution,[status(thm)],[16248, 1853, 16245])).
% 73.22/46.06 tff(16250,assumption,(v124(constB107)), introduced(assumption)).
% 73.22/46.06 tff(16251,plain,
% 73.22/46.06 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB107)) | (~v130(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB107)) | (~v130(constB107, bitIndex0)))),
% 73.22/46.06 inference(rewrite,[status(thm)],[])).
% 73.22/46.06 tff(16252,plain,
% 73.22/46.06 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB107)) | (~v130(constB107, bitIndex0)))),
% 73.22/46.06 inference(quant_inst,[status(thm)],[])).
% 73.22/46.06 tff(16253,plain,
% 73.22/46.06 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB107)) | (~v130(constB107, bitIndex0))),
% 73.22/46.07 inference(modus_ponens,[status(thm)],[16252, 16251])).
% 73.22/46.07 tff(16254,plain,
% 73.22/46.07 (~v130(constB107, bitIndex0)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16253, 1992, 16250])).
% 73.22/46.07 tff(16255,plain,
% 73.22/46.07 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16256,plain,
% 73.22/46.07 ((v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0))) <=> ((~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16257,plain,
% 73.22/46.07 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0)))),
% 73.22/46.07 inference(monotonicity,[status(thm)],[16256])).
% 73.22/46.07 tff(16258,plain,
% 73.22/46.07 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))),
% 73.22/46.07 inference(transitivity,[status(thm)],[16257, 16255])).
% 73.22/46.07 tff(16259,plain,
% 73.22/46.07 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0)))),
% 73.22/46.07 inference(quant_inst,[status(thm)],[])).
% 73.22/46.07 tff(16260,plain,
% 73.22/46.07 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0)),
% 73.22/46.07 inference(modus_ponens,[status(thm)],[16259, 16258])).
% 73.22/46.07 tff(16261,plain,
% 73.22/46.07 ((~v127(constB107, bitIndex0)) | v130(constB107, bitIndex0)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16260, 905, 16200])).
% 73.22/46.07 tff(16262,plain,
% 73.22/46.07 (~v127(constB107, bitIndex0)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16261, 16254])).
% 73.22/46.07 tff(16263,plain,
% 73.22/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0)))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16264,plain,
% 73.22/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0)))),
% 73.22/46.07 inference(quant_inst,[status(thm)],[])).
% 73.22/46.07 tff(16265,plain,
% 73.22/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0))),
% 73.22/46.07 inference(modus_ponens,[status(thm)],[16264, 16263])).
% 73.22/46.07 tff(16266,plain,
% 73.22/46.07 (v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0))),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16265, 923, 16158])).
% 73.22/46.07 tff(16267,plain,
% 73.22/46.07 (~v129(constB108, bitIndex0)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16266, 16262])).
% 73.22/46.07 tff(16268,assumption,(v100(constB108)), introduced(assumption)).
% 73.22/46.07 tff(16269,plain,
% 73.22/46.07 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16270,plain,
% 73.22/46.07 (((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0)) <=> ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16271,plain,
% 73.22/46.07 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108))))),
% 73.22/46.07 inference(monotonicity,[status(thm)],[16270])).
% 73.22/46.07 tff(16272,plain,
% 73.22/46.07 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))),
% 73.22/46.07 inference(transitivity,[status(thm)],[16271, 16269])).
% 73.22/46.07 tff(16273,plain,
% 73.22/46.07 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0))),
% 73.22/46.07 inference(quant_inst,[status(thm)],[])).
% 73.22/46.07 tff(16274,plain,
% 73.22/46.07 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108))),
% 73.22/46.07 inference(modus_ponens,[status(thm)],[16273, 16272])).
% 73.22/46.07 tff(16275,plain,
% 73.22/46.07 ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16274, 938, 16268])).
% 73.22/46.07 tff(16276,plain,
% 73.22/46.07 (~v90(constB108, bitIndex0)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16275, 16267])).
% 73.22/46.07 tff(16277,plain,
% 73.22/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16278,plain,
% 73.22/46.07 (((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0))) <=> (v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16279,plain,
% 73.22/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0))))),
% 73.22/46.07 inference(monotonicity,[status(thm)],[16278])).
% 73.22/46.07 tff(16280,plain,
% 73.22/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 73.22/46.07 inference(transitivity,[status(thm)],[16279, 16277])).
% 73.22/46.07 tff(16281,plain,
% 73.22/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 73.22/46.07 inference(quant_inst,[status(thm)],[])).
% 73.22/46.07 tff(16282,plain,
% 73.22/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0))),
% 73.22/46.07 inference(modus_ponens,[status(thm)],[16281, 16280])).
% 73.22/46.07 tff(16283,plain,
% 73.22/46.07 (v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0))),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16282, 130, 16224])).
% 73.22/46.07 tff(16284,plain,
% 73.22/46.07 (v90(constB108, bitIndex0) | (~v90(constB109, bitIndex0))),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16283, 16236])).
% 73.22/46.07 tff(16285,plain,
% 73.22/46.07 (~v90(constB109, bitIndex0)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16284, 16276])).
% 73.22/46.07 tff(16286,plain,
% 73.22/46.07 (v130(constB107, bitIndex2)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16195, 1786, 16250])).
% 73.22/46.07 tff(16287,plain,
% 73.22/46.07 (v127(constB107, bitIndex2)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16204, 16286])).
% 73.22/46.07 tff(16288,plain,
% 73.22/46.07 (v129(constB108, bitIndex2)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16209, 16287])).
% 73.22/46.07 tff(16289,plain,
% 73.22/46.07 (v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2))),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16216, 1334, 16268])).
% 73.22/46.07 tff(16290,plain,
% 73.22/46.07 (v90(constB108, bitIndex2)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16289, 16288])).
% 73.22/46.07 tff(16291,plain,
% 73.22/46.07 (v90(constB109, bitIndex2)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16244, 16290])).
% 73.22/46.07 tff(16292,plain,
% 73.22/46.07 (~v122(constB109)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16248, 1853, 16291])).
% 73.22/46.07 tff(16293,plain,
% 73.22/46.07 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB109, bitIndex2)) | (~v121(constB109)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB109, bitIndex2)) | (~v121(constB109)))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16294,plain,
% 73.22/46.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB109, bitIndex2)) | (~v121(constB109)))),
% 73.22/46.07 inference(quant_inst,[status(thm)],[])).
% 73.22/46.07 tff(16295,plain,
% 73.22/46.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB109, bitIndex2)) | (~v121(constB109))),
% 73.22/46.07 inference(modus_ponens,[status(thm)],[16294, 16293])).
% 73.22/46.07 tff(16296,plain,
% 73.22/46.07 (~v121(constB109)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16295, 1842, 16291])).
% 73.22/46.07 tff(16297,plain,
% 73.22/46.07 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB107)) | v130(constB107, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB107)) | v130(constB107, bitIndex1))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16298,plain,
% 73.22/46.07 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB107)) | v130(constB107, bitIndex1))),
% 73.22/46.07 inference(quant_inst,[status(thm)],[])).
% 73.22/46.07 tff(16299,plain,
% 73.22/46.07 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB107)) | v130(constB107, bitIndex1)),
% 73.22/46.07 inference(modus_ponens,[status(thm)],[16298, 16297])).
% 73.22/46.07 tff(16300,plain,
% 73.22/46.07 (v130(constB107, bitIndex1)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16299, 1867, 16250])).
% 73.22/46.07 tff(16301,plain,
% 73.22/46.07 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16302,plain,
% 73.22/46.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1))),
% 73.22/46.07 inference(quant_inst,[status(thm)],[])).
% 73.22/46.07 tff(16303,plain,
% 73.22/46.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1)),
% 73.22/46.07 inference(modus_ponens,[status(thm)],[16302, 16301])).
% 73.22/46.07 tff(16304,plain,
% 73.22/46.07 ((~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16303, 824, 16200])).
% 73.22/46.07 tff(16305,plain,
% 73.22/46.07 (v127(constB107, bitIndex1)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16304, 16300])).
% 73.22/46.07 tff(16306,plain,
% 73.22/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16307,plain,
% 73.22/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1))),
% 73.22/46.07 inference(quant_inst,[status(thm)],[])).
% 73.22/46.07 tff(16308,plain,
% 73.22/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1)),
% 73.22/46.07 inference(modus_ponens,[status(thm)],[16307, 16306])).
% 73.22/46.07 tff(16309,plain,
% 73.22/46.07 ((~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16308, 839, 16158])).
% 73.22/46.07 tff(16310,plain,
% 73.22/46.07 (v129(constB108, bitIndex1)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16309, 16305])).
% 73.22/46.07 tff(16311,plain,
% 73.22/46.07 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16312,plain,
% 73.22/46.07 ((v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1))) <=> (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16313,plain,
% 73.22/46.07 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108))))),
% 73.22/46.07 inference(monotonicity,[status(thm)],[16312])).
% 73.22/46.07 tff(16314,plain,
% 73.22/46.07 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))),
% 73.22/46.07 inference(transitivity,[status(thm)],[16313, 16311])).
% 73.22/46.07 tff(16315,plain,
% 73.22/46.07 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1)))),
% 73.22/46.07 inference(quant_inst,[status(thm)],[])).
% 73.22/46.07 tff(16316,plain,
% 73.22/46.07 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108))),
% 73.22/46.07 inference(modus_ponens,[status(thm)],[16315, 16314])).
% 73.22/46.07 tff(16317,plain,
% 73.22/46.07 (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1))),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16316, 854, 16268])).
% 73.22/46.07 tff(16318,plain,
% 73.22/46.07 (v90(constB108, bitIndex1)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16317, 16310])).
% 73.22/46.07 tff(16319,plain,
% 73.22/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16320,plain,
% 73.22/46.07 (((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1)) <=> ((~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16321,plain,
% 73.22/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1)))),
% 73.22/46.07 inference(monotonicity,[status(thm)],[16320])).
% 73.22/46.07 tff(16322,plain,
% 73.22/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))),
% 73.22/46.07 inference(transitivity,[status(thm)],[16321, 16319])).
% 73.22/46.07 tff(16323,plain,
% 73.22/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1))),
% 73.22/46.07 inference(quant_inst,[status(thm)],[])).
% 73.22/46.07 tff(16324,plain,
% 73.22/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1)),
% 73.22/46.07 inference(modus_ponens,[status(thm)],[16323, 16322])).
% 73.22/46.07 tff(16325,plain,
% 73.22/46.07 ((~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16324, 872, 16224])).
% 73.22/46.07 tff(16326,plain,
% 73.22/46.07 ((~v90(constB108, bitIndex1)) | v90(constB109, bitIndex1)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16325, 16236])).
% 73.22/46.07 tff(16327,plain,
% 73.22/46.07 (v90(constB109, bitIndex1)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16326, 16318])).
% 73.22/46.07 tff(16328,plain,
% 73.22/46.07 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB109, bitIndex1)) | (~v124(constB109)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB109, bitIndex1)) | (~v124(constB109)))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16329,plain,
% 73.22/46.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB109, bitIndex1)) | (~v124(constB109)))),
% 73.22/46.07 inference(quant_inst,[status(thm)],[])).
% 73.22/46.07 tff(16330,plain,
% 73.22/46.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB109, bitIndex1)) | (~v124(constB109))),
% 73.22/46.07 inference(modus_ponens,[status(thm)],[16329, 16328])).
% 73.22/46.07 tff(16331,plain,
% 73.22/46.07 (~v124(constB109)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16330, 1941, 16327])).
% 73.22/46.07 tff(16332,plain,
% 73.22/46.07 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB109, bitIndex1)) | (~v123(constB109)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB109, bitIndex1)) | (~v123(constB109)))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16333,plain,
% 73.22/46.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB109, bitIndex1)) | (~v123(constB109)))),
% 73.22/46.07 inference(quant_inst,[status(thm)],[])).
% 73.22/46.07 tff(16334,plain,
% 73.22/46.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB109, bitIndex1)) | (~v123(constB109))),
% 73.22/46.07 inference(modus_ponens,[status(thm)],[16333, 16332])).
% 73.22/46.07 tff(16335,plain,
% 73.22/46.07 (~v123(constB109)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16334, 1930, 16327])).
% 73.22/46.07 tff(16336,plain,
% 73.22/46.07 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB109, bitIndex1)) | (~v120(constB109)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB109, bitIndex1)) | (~v120(constB109)))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16337,plain,
% 73.22/46.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB109, bitIndex1)) | (~v120(constB109)))),
% 73.22/46.07 inference(quant_inst,[status(thm)],[])).
% 73.22/46.07 tff(16338,plain,
% 73.22/46.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB109, bitIndex1)) | (~v120(constB109))),
% 73.22/46.07 inference(modus_ponens,[status(thm)],[16337, 16336])).
% 73.22/46.07 tff(16339,plain,
% 73.22/46.07 (~v120(constB109)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16338, 1919, 16327])).
% 73.22/46.07 tff(16340,plain,
% 73.22/46.07 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB109)) | (~v90(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB109)) | (~v90(constB109, bitIndex1)))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16341,plain,
% 73.22/46.07 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB109)) | (~v90(constB109, bitIndex1)))),
% 73.22/46.07 inference(quant_inst,[status(thm)],[])).
% 73.22/46.07 tff(16342,plain,
% 73.22/46.07 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB109)) | (~v90(constB109, bitIndex1))),
% 73.22/46.07 inference(modus_ponens,[status(thm)],[16341, 16340])).
% 73.22/46.07 tff(16343,plain,
% 73.22/46.07 (~v119(constB109)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16342, 1908, 16327])).
% 73.22/46.07 tff(16344,plain,
% 73.22/46.07 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB109, bitIndex1)) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB109, bitIndex1)) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16345,plain,
% 73.22/46.07 ((v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex1))) <=> ((~v130(constB109, bitIndex1)) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16346,plain,
% 73.22/46.07 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB109, bitIndex1)) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109)))),
% 73.22/46.07 inference(monotonicity,[status(thm)],[16345])).
% 73.22/46.07 tff(16347,plain,
% 73.22/46.07 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB109, bitIndex1)) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109))),
% 73.22/46.07 inference(transitivity,[status(thm)],[16346, 16344])).
% 73.22/46.07 tff(16348,plain,
% 73.22/46.07 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex1)))),
% 73.22/46.07 inference(quant_inst,[status(thm)],[])).
% 73.22/46.07 tff(16349,plain,
% 73.22/46.07 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB109, bitIndex1)) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109)),
% 73.22/46.07 inference(modus_ponens,[status(thm)],[16348, 16347])).
% 73.22/46.07 tff(16350,plain,
% 73.22/46.07 (~v130(constB109, bitIndex1)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16349, 2146, 16343, 16339, 16335, 16331, 16296, 16292])).
% 73.22/46.07 tff(16351,assumption,(v26(constB109)), introduced(assumption)).
% 73.22/46.07 tff(16352,plain,
% 73.22/46.07 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB109))),
% 73.22/46.07 inference(quant_inst,[status(thm)],[])).
% 73.22/46.07 tff(16353,plain,
% 73.22/46.07 ($false),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16352, 37, 16351])).
% 73.22/46.07 tff(16354,plain,(~v26(constB109)), inference(lemma,lemma(discharge,[]))).
% 73.22/46.07 tff(16355,plain,
% 73.22/46.07 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16356,plain,
% 73.22/46.07 ((v26(constB109) | v130(constB109, bitIndex1) | (~v127(constB109, bitIndex1))) <=> ((~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16357,plain,
% 73.22/46.07 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB109) | v130(constB109, bitIndex1) | (~v127(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1)))),
% 73.22/46.07 inference(monotonicity,[status(thm)],[16356])).
% 73.22/46.07 tff(16358,plain,
% 73.22/46.07 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB109) | v130(constB109, bitIndex1) | (~v127(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1))),
% 73.22/46.07 inference(transitivity,[status(thm)],[16357, 16355])).
% 73.22/46.07 tff(16359,plain,
% 73.22/46.07 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB109) | v130(constB109, bitIndex1) | (~v127(constB109, bitIndex1)))),
% 73.22/46.07 inference(quant_inst,[status(thm)],[])).
% 73.22/46.07 tff(16360,plain,
% 73.22/46.07 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB109, bitIndex1)) | v26(constB109) | v130(constB109, bitIndex1)),
% 73.22/46.07 inference(modus_ponens,[status(thm)],[16359, 16358])).
% 73.22/46.07 tff(16361,plain,
% 73.22/46.07 ((~v127(constB109, bitIndex1)) | v130(constB109, bitIndex1)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16360, 555, 16354])).
% 73.22/46.07 tff(16362,plain,
% 73.22/46.07 (~v127(constB109, bitIndex1)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16361, 16350])).
% 73.22/46.07 tff(16363,plain,
% 73.22/46.07 (nextState(constB109, constB110) <=> nextState(constB109, constB110)),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16364,axiom,(nextState(constB109, constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_109_1')).
% 73.22/46.07 tff(16365,plain,
% 73.22/46.07 (nextState(constB109, constB110)),
% 73.22/46.07 inference(modus_ponens,[status(thm)],[16364, 16363])).
% 73.22/46.07 tff(16366,plain,
% 73.22/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex1) | (~v129(constB110, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex1) | (~v129(constB110, bitIndex1)))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16367,plain,
% 73.22/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex1) | (~v129(constB110, bitIndex1)))),
% 73.22/46.07 inference(quant_inst,[status(thm)],[])).
% 73.22/46.07 tff(16368,plain,
% 73.22/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex1) | (~v129(constB110, bitIndex1))),
% 73.22/46.07 inference(modus_ponens,[status(thm)],[16367, 16366])).
% 73.22/46.07 tff(16369,plain,
% 73.22/46.07 (v127(constB109, bitIndex1) | (~v129(constB110, bitIndex1))),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16368, 588, 16365])).
% 73.22/46.07 tff(16370,plain,
% 73.22/46.07 (~v129(constB110, bitIndex1)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16369, 16362])).
% 73.22/46.07 tff(16371,assumption,(v90(constB110, bitIndex1)), introduced(assumption)).
% 73.22/46.07 tff(16372,plain,
% 73.22/46.07 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1) | (~v100(constB110)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1) | (~v100(constB110)))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16373,plain,
% 73.22/46.07 (((~v90(constB110, bitIndex1)) | (~v100(constB110)) | v129(constB110, bitIndex1)) <=> ((~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1) | (~v100(constB110)))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16374,plain,
% 73.22/46.07 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | (~v100(constB110)) | v129(constB110, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1) | (~v100(constB110))))),
% 73.22/46.07 inference(monotonicity,[status(thm)],[16373])).
% 73.22/46.07 tff(16375,plain,
% 73.22/46.07 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | (~v100(constB110)) | v129(constB110, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1) | (~v100(constB110)))),
% 73.22/46.07 inference(transitivity,[status(thm)],[16374, 16372])).
% 73.22/46.07 tff(16376,plain,
% 73.22/46.07 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB110, bitIndex1)) | (~v100(constB110)) | v129(constB110, bitIndex1))),
% 73.22/46.07 inference(quant_inst,[status(thm)],[])).
% 73.22/46.07 tff(16377,plain,
% 73.22/46.07 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1) | (~v100(constB110))),
% 73.22/46.07 inference(modus_ponens,[status(thm)],[16376, 16375])).
% 73.22/46.07 tff(16378,plain,
% 73.22/46.07 (v129(constB110, bitIndex1) | (~v100(constB110))),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16377, 603, 16371])).
% 73.22/46.07 tff(16379,plain,
% 73.22/46.07 (~v100(constB110)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16378, 16370])).
% 73.22/46.07 tff(16380,assumption,(~v100(constB110)), introduced(assumption)).
% 73.22/46.07 tff(16381,plain,
% 73.22/46.07 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16382,plain,
% 73.22/46.07 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))),
% 73.22/46.07 inference(quant_inst,[status(thm)],[])).
% 73.22/46.07 tff(16383,plain,
% 73.22/46.07 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110))),
% 73.22/46.07 inference(modus_ponens,[status(thm)],[16382, 16381])).
% 73.22/46.07 tff(16384,plain,
% 73.22/46.07 (~v104(constB110)),
% 73.22/46.07 inference(unit_resolution,[status(thm)],[16383, 335, 16365, 16221])).
% 73.22/46.07 tff(16385,plain,
% 73.22/46.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))),
% 73.22/46.07 inference(rewrite,[status(thm)],[])).
% 73.22/46.07 tff(16386,plain,
% 73.22/46.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))),
% 73.22/46.08 inference(quant_inst,[status(thm)],[])).
% 73.22/46.08 tff(16387,plain,
% 73.22/46.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v102(constB110) | v104(constB110)),
% 73.22/46.08 inference(modus_ponens,[status(thm)],[16386, 16385])).
% 73.22/46.08 tff(16388,plain,
% 73.22/46.08 (v102(constB110) | v104(constB110)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16387, 349, 16365])).
% 73.22/46.08 tff(16389,plain,
% 73.22/46.08 (v102(constB110)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16388, 16384])).
% 73.22/46.08 tff(16390,plain,
% 73.22/46.08 (v1(constB110) <=> v1(constB110)),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16391,axiom,(v1(constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_110_1')).
% 73.22/46.08 tff(16392,plain,
% 73.22/46.08 (v1(constB110)),
% 73.22/46.08 inference(modus_ponens,[status(thm)],[16391, 16390])).
% 73.22/46.08 tff(16393,plain,
% 73.22/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16394,plain,
% 73.22/46.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))),
% 73.22/46.08 inference(quant_inst,[status(thm)],[])).
% 73.22/46.08 tff(16395,plain,
% 73.22/46.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110))),
% 73.22/46.08 inference(modus_ponens,[status(thm)],[16394, 16393])).
% 73.22/46.08 tff(16396,plain,
% 73.22/46.08 (v101(constB110) | (~v102(constB110))),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16395, 367, 16365, 16392])).
% 73.22/46.08 tff(16397,plain,
% 73.22/46.08 (v101(constB110)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16396, 16389])).
% 73.22/46.08 tff(16398,plain,
% 73.22/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16399,plain,
% 73.22/46.08 (((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110)) <=> ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16400,plain,
% 73.22/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110))))),
% 73.22/46.08 inference(monotonicity,[status(thm)],[16399])).
% 73.22/46.08 tff(16401,plain,
% 73.22/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 73.22/46.08 inference(transitivity,[status(thm)],[16400, 16398])).
% 73.22/46.08 tff(16402,plain,
% 73.22/46.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))),
% 73.22/46.08 inference(quant_inst,[status(thm)],[])).
% 73.22/46.08 tff(16403,plain,
% 73.22/46.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110))),
% 73.22/46.08 inference(modus_ponens,[status(thm)],[16402, 16401])).
% 73.22/46.08 tff(16404,plain,
% 73.22/46.08 (v100(constB110) | (~v101(constB110)) | (~v110(constB110))),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16403, 382, 16365])).
% 73.22/46.08 tff(16405,plain,
% 73.22/46.08 (v100(constB110) | (~v110(constB110))),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16404, 16397])).
% 73.22/46.08 tff(16406,plain,
% 73.22/46.08 (~v110(constB110)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16405, 16380])).
% 73.22/46.08 tff(16407,plain,
% 73.22/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16408,plain,
% 73.22/46.08 (((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110)) <=> ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16409,plain,
% 73.22/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109))))),
% 73.22/46.08 inference(monotonicity,[status(thm)],[16408])).
% 73.22/46.08 tff(16410,plain,
% 73.22/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 73.22/46.08 inference(transitivity,[status(thm)],[16409, 16407])).
% 73.22/46.08 tff(16411,plain,
% 73.22/46.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))),
% 73.22/46.08 inference(quant_inst,[status(thm)],[])).
% 73.22/46.08 tff(16412,plain,
% 73.22/46.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109))),
% 73.22/46.08 inference(modus_ponens,[status(thm)],[16411, 16410])).
% 73.22/46.08 tff(16413,plain,
% 73.22/46.08 (v110(constB110) | (~v108(constB109))),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16412, 317, 16365])).
% 73.22/46.08 tff(16414,plain,
% 73.22/46.08 (~v108(constB109)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16413, 16406])).
% 73.22/46.08 tff(16415,plain,
% 73.22/46.08 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB109) | (~v112(constB109)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB109) | (~v112(constB109)))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16416,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB109) | (~v112(constB109)))),
% 73.22/46.08 inference(quant_inst,[status(thm)],[])).
% 73.22/46.08 tff(16417,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB109) | (~v112(constB109))),
% 73.22/46.08 inference(modus_ponens,[status(thm)],[16416, 16415])).
% 73.22/46.08 tff(16418,plain,
% 73.22/46.08 (~v112(constB109)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16417, 210, 16414])).
% 73.22/46.08 tff(16419,plain,
% 73.22/46.08 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | v112(constB109) | (~v113(constB109)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | v112(constB109) | (~v113(constB109)))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16420,plain,
% 73.22/46.08 ((v26(constB109) | (~v113(constB109)) | v112(constB109)) <=> (v26(constB109) | v112(constB109) | (~v113(constB109)))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16421,plain,
% 73.22/46.08 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | v112(constB109) | (~v113(constB109))))),
% 73.22/46.08 inference(monotonicity,[status(thm)],[16420])).
% 73.22/46.08 tff(16422,plain,
% 73.22/46.08 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | v112(constB109) | (~v113(constB109)))),
% 73.22/46.08 inference(transitivity,[status(thm)],[16421, 16419])).
% 73.22/46.08 tff(16423,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))),
% 73.22/46.08 inference(quant_inst,[status(thm)],[])).
% 73.22/46.08 tff(16424,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | v112(constB109) | (~v113(constB109))),
% 73.22/46.08 inference(modus_ponens,[status(thm)],[16423, 16422])).
% 73.22/46.08 tff(16425,plain,
% 73.22/46.08 (v112(constB109) | (~v113(constB109))),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16424, 301, 16354])).
% 73.22/46.08 tff(16426,plain,
% 73.22/46.08 (~v113(constB109)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16425, 16418])).
% 73.22/46.08 tff(16427,plain,
% 73.22/46.08 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB109) | (~v114(constB109)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB109) | (~v114(constB109)))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16428,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB109) | (~v114(constB109)))),
% 73.22/46.08 inference(quant_inst,[status(thm)],[])).
% 73.22/46.08 tff(16429,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB109) | (~v114(constB109))),
% 73.22/46.08 inference(modus_ponens,[status(thm)],[16428, 16427])).
% 73.22/46.08 tff(16430,plain,
% 73.22/46.08 (~v114(constB109)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16429, 287, 16426])).
% 73.22/46.08 tff(16431,assumption,(~v90(constB110, bitIndex0)), introduced(assumption)).
% 73.22/46.08 tff(16432,plain,
% 73.22/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB109, bitIndex0)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB109, bitIndex0)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex0))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16433,plain,
% 73.22/46.08 (((~nextState(constB109, constB110)) | (~v90(constB109, bitIndex0)) | v100(constB110) | v90(constB110, bitIndex0)) <=> ((~v90(constB109, bitIndex0)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex0))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16434,plain,
% 73.22/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v90(constB109, bitIndex0)) | v100(constB110) | v90(constB110, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB109, bitIndex0)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex0)))),
% 73.22/46.08 inference(monotonicity,[status(thm)],[16433])).
% 73.22/46.08 tff(16435,plain,
% 73.22/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v90(constB109, bitIndex0)) | v100(constB110) | v90(constB110, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB109, bitIndex0)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex0))),
% 73.22/46.08 inference(transitivity,[status(thm)],[16434, 16432])).
% 73.22/46.08 tff(16436,plain,
% 73.22/46.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v90(constB109, bitIndex0)) | v100(constB110) | v90(constB110, bitIndex0))),
% 73.22/46.08 inference(quant_inst,[status(thm)],[])).
% 73.22/46.08 tff(16437,plain,
% 73.22/46.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB109, bitIndex0)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex0)),
% 73.22/46.08 inference(modus_ponens,[status(thm)],[16436, 16435])).
% 73.22/46.08 tff(16438,plain,
% 73.22/46.08 ((~v90(constB109, bitIndex0)) | v100(constB110) | v90(constB110, bitIndex0)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16437, 437, 16365])).
% 73.22/46.08 tff(16439,plain,
% 73.22/46.08 (~v90(constB109, bitIndex0)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16438, 16380, 16431])).
% 73.22/46.08 tff(16440,plain,
% 73.22/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB109, bitIndex1) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB109, bitIndex1) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex1)))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16441,plain,
% 73.22/46.08 (((~nextState(constB109, constB110)) | v90(constB109, bitIndex1) | v100(constB110) | (~v90(constB110, bitIndex1))) <=> (v90(constB109, bitIndex1) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex1)))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16442,plain,
% 73.22/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex1) | v100(constB110) | (~v90(constB110, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB109, bitIndex1) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex1))))),
% 73.22/46.08 inference(monotonicity,[status(thm)],[16441])).
% 73.22/46.08 tff(16443,plain,
% 73.22/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex1) | v100(constB110) | (~v90(constB110, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB109, bitIndex1) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex1)))),
% 73.22/46.08 inference(transitivity,[status(thm)],[16442, 16440])).
% 73.22/46.08 tff(16444,plain,
% 73.22/46.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex1) | v100(constB110) | (~v90(constB110, bitIndex1)))),
% 73.22/46.08 inference(quant_inst,[status(thm)],[])).
% 73.22/46.08 tff(16445,plain,
% 73.22/46.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB109, bitIndex1) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex1))),
% 73.22/46.08 inference(modus_ponens,[status(thm)],[16444, 16443])).
% 73.22/46.08 tff(16446,plain,
% 73.22/46.08 (v90(constB109, bitIndex1) | v100(constB110) | (~v90(constB110, bitIndex1))),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16445, 109, 16365])).
% 73.22/46.08 tff(16447,plain,
% 73.22/46.08 (v90(constB109, bitIndex1)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16446, 16380, 16371])).
% 73.22/46.08 tff(16448,assumption,(v90(constB109, bitIndex2)), introduced(assumption)).
% 73.22/46.08 tff(16449,plain,
% 73.22/46.08 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)) | v125(constB109))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)) | v125(constB109))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16450,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)) | v125(constB109))),
% 73.22/46.08 inference(quant_inst,[status(thm)],[])).
% 73.22/46.08 tff(16451,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)) | v125(constB109)),
% 73.22/46.08 inference(modus_ponens,[status(thm)],[16450, 16449])).
% 73.22/46.08 tff(16452,plain,
% 73.22/46.08 (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v125(constB109)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16451, 2036, 16448])).
% 73.22/46.08 tff(16453,plain,
% 73.22/46.08 (v125(constB109)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16452, 16447, 16439])).
% 73.22/46.08 tff(16454,plain,
% 73.22/46.08 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB109) | (~v125(constB109)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB109) | (~v125(constB109)))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16455,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB109) | (~v125(constB109)))),
% 73.22/46.08 inference(quant_inst,[status(thm)],[])).
% 73.22/46.08 tff(16456,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB109) | (~v125(constB109))),
% 73.22/46.08 inference(modus_ponens,[status(thm)],[16455, 16454])).
% 73.22/46.08 tff(16457,plain,
% 73.22/46.08 (v113(constB109)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16456, 2047, 16453])).
% 73.22/46.08 tff(16458,plain,
% 73.22/46.08 ($false),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16425, 16418, 16457])).
% 73.22/46.08 tff(16459,plain,(v100(constB110) | (~v90(constB109, bitIndex2)) | (~v90(constB110, bitIndex1)) | v90(constB110, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.22/46.08 tff(16460,plain,
% 73.22/46.08 (~v90(constB109, bitIndex2)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16459, 16380, 16371, 16431])).
% 73.22/46.08 tff(16461,assumption,(~v116(constB109)), introduced(assumption)).
% 73.22/46.08 tff(16462,plain,
% 73.22/46.08 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB109) | (~v117(constB109)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB109) | (~v117(constB109)))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16463,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB109) | (~v117(constB109)))),
% 73.22/46.08 inference(quant_inst,[status(thm)],[])).
% 73.22/46.08 tff(16464,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB109) | (~v117(constB109))),
% 73.22/46.08 inference(modus_ponens,[status(thm)],[16463, 16462])).
% 73.22/46.08 tff(16465,plain,
% 73.22/46.08 (~v117(constB109)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16464, 254, 16461])).
% 73.22/46.08 tff(16466,plain,
% 73.22/46.08 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB109) | (~v118(constB109)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB109) | (~v118(constB109)))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16467,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB109) | (~v118(constB109)))),
% 73.22/46.08 inference(quant_inst,[status(thm)],[])).
% 73.22/46.08 tff(16468,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB109) | (~v118(constB109))),
% 73.22/46.08 inference(modus_ponens,[status(thm)],[16467, 16466])).
% 73.22/46.08 tff(16469,plain,
% 73.22/46.08 (~v118(constB109)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16468, 243, 16465])).
% 73.22/46.08 tff(16470,plain,
% 73.22/46.08 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB109) | (~v122(constB109)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB109) | (~v122(constB109)))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16471,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB109) | (~v122(constB109)))),
% 73.22/46.08 inference(quant_inst,[status(thm)],[])).
% 73.22/46.08 tff(16472,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB109) | (~v122(constB109))),
% 73.22/46.08 inference(modus_ponens,[status(thm)],[16471, 16470])).
% 73.22/46.08 tff(16473,plain,
% 73.22/46.08 (~v122(constB109)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16472, 1214, 16461])).
% 73.22/46.08 tff(16474,assumption,(~v90(constB109, bitIndex2)), introduced(assumption)).
% 73.22/46.08 tff(16475,plain,
% 73.22/46.08 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB109) | (~v121(constB109)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB109) | (~v121(constB109)))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16476,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB109) | (~v121(constB109)))),
% 73.22/46.08 inference(quant_inst,[status(thm)],[])).
% 73.22/46.08 tff(16477,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB109) | (~v121(constB109))),
% 73.22/46.08 inference(modus_ponens,[status(thm)],[16476, 16475])).
% 73.22/46.08 tff(16478,plain,
% 73.22/46.08 (~v121(constB109)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16477, 976, 16465])).
% 73.22/46.08 tff(16479,assumption,(v90(constB109, bitIndex1)), introduced(assumption)).
% 73.22/46.08 tff(16480,assumption,(~v122(constB109)), introduced(assumption)).
% 73.22/46.08 tff(16481,plain,
% 73.22/46.08 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v122(constB109))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v122(constB109))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16482,plain,
% 73.22/46.08 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v122(constB109))),
% 73.22/46.08 inference(quant_inst,[status(thm)],[])).
% 73.22/46.08 tff(16483,plain,
% 73.22/46.08 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v122(constB109)),
% 73.22/46.08 inference(modus_ponens,[status(thm)],[16482, 16481])).
% 73.22/46.08 tff(16484,plain,
% 73.22/46.08 ((~v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16483, 1203, 16480])).
% 73.22/46.08 tff(16485,plain,
% 73.22/46.08 (~v90(constB109, bitIndex0)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16484, 16474, 16479])).
% 73.22/46.08 tff(16486,assumption,(~v121(constB109)), introduced(assumption)).
% 73.22/46.08 tff(16487,plain,
% 73.22/46.08 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v121(constB109))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v121(constB109))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16488,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v121(constB109))),
% 73.22/46.08 inference(quant_inst,[status(thm)],[])).
% 73.22/46.08 tff(16489,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v121(constB109)),
% 73.22/46.08 inference(modus_ponens,[status(thm)],[16488, 16487])).
% 73.22/46.08 tff(16490,plain,
% 73.22/46.08 (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16489, 965, 16486])).
% 73.22/46.08 tff(16491,plain,
% 73.22/46.08 ($false),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16490, 16485, 16474, 16479])).
% 73.22/46.08 tff(16492,plain,(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | v121(constB109) | v122(constB109)), inference(lemma,lemma(discharge,[]))).
% 73.22/46.08 tff(16493,plain,
% 73.22/46.08 (~v90(constB109, bitIndex1)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16492, 16478, 16474, 16473])).
% 73.22/46.08 tff(16494,plain,
% 73.22/46.08 (~v90(constB108, bitIndex2)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16244, 16474])).
% 73.22/46.08 tff(16495,plain,
% 73.22/46.08 (~v90(constB108, bitIndex1)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16326, 16493])).
% 73.22/46.08 tff(16496,assumption,(~v90(constB108, bitIndex2)), introduced(assumption)).
% 73.22/46.08 tff(16497,assumption,(~v90(constB108, bitIndex0)), introduced(assumption)).
% 73.22/46.08 tff(16498,assumption,(~v90(constB108, bitIndex1)), introduced(assumption)).
% 73.22/46.08 tff(16499,assumption,(~v100(constB108)), introduced(assumption)).
% 73.22/46.08 tff(16500,plain,
% 73.22/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB107, bitIndex2)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB107, bitIndex2)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex2))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16501,plain,
% 73.22/46.08 (((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex2)) | v100(constB108) | v90(constB108, bitIndex2)) <=> ((~v90(constB107, bitIndex2)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex2))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16502,plain,
% 73.22/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex2)) | v100(constB108) | v90(constB108, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB107, bitIndex2)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex2)))),
% 73.22/46.08 inference(monotonicity,[status(thm)],[16501])).
% 73.22/46.08 tff(16503,plain,
% 73.22/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex2)) | v100(constB108) | v90(constB108, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB107, bitIndex2)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex2))),
% 73.22/46.08 inference(transitivity,[status(thm)],[16502, 16500])).
% 73.22/46.08 tff(16504,plain,
% 73.22/46.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex2)) | v100(constB108) | v90(constB108, bitIndex2))),
% 73.22/46.08 inference(quant_inst,[status(thm)],[])).
% 73.22/46.08 tff(16505,plain,
% 73.22/46.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB107, bitIndex2)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex2)),
% 73.22/46.08 inference(modus_ponens,[status(thm)],[16504, 16503])).
% 73.22/46.08 tff(16506,plain,
% 73.22/46.08 ((~v90(constB107, bitIndex2)) | v100(constB108) | v90(constB108, bitIndex2)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16505, 1370, 16158])).
% 73.22/46.08 tff(16507,plain,
% 73.22/46.08 (~v90(constB107, bitIndex2)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16506, 16499, 16496])).
% 73.22/46.08 tff(16508,plain,
% 73.22/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB107, bitIndex1)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB107, bitIndex1)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex1))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16509,plain,
% 73.22/46.08 (((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex1)) | v100(constB108) | v90(constB108, bitIndex1)) <=> ((~v90(constB107, bitIndex1)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex1))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16510,plain,
% 73.22/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex1)) | v100(constB108) | v90(constB108, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB107, bitIndex1)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex1)))),
% 73.22/46.08 inference(monotonicity,[status(thm)],[16509])).
% 73.22/46.08 tff(16511,plain,
% 73.22/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex1)) | v100(constB108) | v90(constB108, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB107, bitIndex1)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex1))),
% 73.22/46.08 inference(transitivity,[status(thm)],[16510, 16508])).
% 73.22/46.08 tff(16512,plain,
% 73.22/46.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex1)) | v100(constB108) | v90(constB108, bitIndex1))),
% 73.22/46.08 inference(quant_inst,[status(thm)],[])).
% 73.22/46.08 tff(16513,plain,
% 73.22/46.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB107, bitIndex1)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex1)),
% 73.22/46.08 inference(modus_ponens,[status(thm)],[16512, 16511])).
% 73.22/46.08 tff(16514,plain,
% 73.22/46.08 ((~v90(constB107, bitIndex1)) | v100(constB108) | v90(constB108, bitIndex1)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16513, 872, 16158])).
% 73.22/46.08 tff(16515,plain,
% 73.22/46.08 (~v90(constB107, bitIndex1)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16514, 16499, 16498])).
% 73.22/46.08 tff(16516,plain,
% 73.22/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB107, bitIndex0)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB107, bitIndex0)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex0))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16517,plain,
% 73.22/46.08 (((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex0)) | v100(constB108) | v90(constB108, bitIndex0)) <=> ((~v90(constB107, bitIndex0)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex0))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16518,plain,
% 73.22/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex0)) | v100(constB108) | v90(constB108, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB107, bitIndex0)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex0)))),
% 73.22/46.08 inference(monotonicity,[status(thm)],[16517])).
% 73.22/46.08 tff(16519,plain,
% 73.22/46.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex0)) | v100(constB108) | v90(constB108, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB107, bitIndex0)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex0))),
% 73.22/46.08 inference(transitivity,[status(thm)],[16518, 16516])).
% 73.22/46.08 tff(16520,plain,
% 73.22/46.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB107, constB108)) | (~v90(constB107, bitIndex0)) | v100(constB108) | v90(constB108, bitIndex0))),
% 73.22/46.08 inference(quant_inst,[status(thm)],[])).
% 73.22/46.08 tff(16521,plain,
% 73.22/46.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB107, bitIndex0)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, bitIndex0)),
% 73.22/46.08 inference(modus_ponens,[status(thm)],[16520, 16519])).
% 73.22/46.08 tff(16522,plain,
% 73.22/46.08 ((~v90(constB107, bitIndex0)) | v100(constB108) | v90(constB108, bitIndex0)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16521, 437, 16158])).
% 73.22/46.08 tff(16523,plain,
% 73.22/46.08 (~v90(constB107, bitIndex0)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16522, 16499, 16497])).
% 73.22/46.08 tff(16524,plain,
% 73.22/46.08 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB107) | v90(constB107, bitIndex0) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB107) | v90(constB107, bitIndex0) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16525,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB107) | v90(constB107, bitIndex0) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2))),
% 73.22/46.08 inference(quant_inst,[status(thm)],[])).
% 73.22/46.08 tff(16526,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB107) | v90(constB107, bitIndex0) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2)),
% 73.22/46.08 inference(modus_ponens,[status(thm)],[16525, 16524])).
% 73.22/46.08 tff(16527,plain,
% 73.22/46.08 (v119(constB107)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16526, 151, 16523, 16515, 16507])).
% 73.22/46.08 tff(16528,plain,
% 73.22/46.08 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB107) | (~v119(constB107)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB107) | (~v119(constB107)))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16529,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB107) | (~v119(constB107)))),
% 73.22/46.08 inference(quant_inst,[status(thm)],[])).
% 73.22/46.08 tff(16530,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB107) | (~v119(constB107))),
% 73.22/46.08 inference(modus_ponens,[status(thm)],[16529, 16528])).
% 73.22/46.08 tff(16531,plain,
% 73.22/46.08 (v118(constB107)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16530, 232, 16527])).
% 73.22/46.08 tff(16532,plain,
% 73.22/46.08 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB107) | (~v118(constB107)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB107) | (~v118(constB107)))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16533,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB107) | (~v118(constB107)))),
% 73.22/46.08 inference(quant_inst,[status(thm)],[])).
% 73.22/46.08 tff(16534,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB107) | (~v118(constB107))),
% 73.22/46.08 inference(modus_ponens,[status(thm)],[16533, 16532])).
% 73.22/46.08 tff(16535,plain,
% 73.22/46.08 (v117(constB107)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16534, 243, 16531])).
% 73.22/46.08 tff(16536,plain,
% 73.22/46.08 (~v110(constB108)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16191, 16499])).
% 73.22/46.08 tff(16537,plain,
% 73.22/46.08 (~v108(constB107)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16165, 16536])).
% 73.22/46.08 tff(16538,plain,
% 73.22/46.08 (~v113(constB107)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16154, 16537])).
% 73.22/46.08 tff(16539,plain,
% 73.22/46.08 (~v114(constB107)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16134, 287, 16538])).
% 73.22/46.08 tff(16540,plain,
% 73.22/46.08 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB107) | (~v115(constB107)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB107) | (~v115(constB107)))),
% 73.22/46.08 inference(rewrite,[status(thm)],[])).
% 73.22/46.08 tff(16541,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB107) | (~v115(constB107)))),
% 73.22/46.08 inference(quant_inst,[status(thm)],[])).
% 73.22/46.08 tff(16542,plain,
% 73.22/46.08 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB107) | (~v115(constB107))),
% 73.22/46.08 inference(modus_ponens,[status(thm)],[16541, 16540])).
% 73.22/46.08 tff(16543,plain,
% 73.22/46.08 (~v115(constB107)),
% 73.22/46.08 inference(unit_resolution,[status(thm)],[16542, 276, 16539])).
% 73.22/46.08 tff(16544,plain,
% 73.22/46.08 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB107) | (~v116(constB107)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB107) | (~v116(constB107)))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16545,plain,
% 73.22/46.09 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB107) | (~v116(constB107)))),
% 73.22/46.09 inference(quant_inst,[status(thm)],[])).
% 73.22/46.09 tff(16546,plain,
% 73.22/46.09 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB107) | (~v116(constB107))),
% 73.22/46.09 inference(modus_ponens,[status(thm)],[16545, 16544])).
% 73.22/46.09 tff(16547,plain,
% 73.22/46.09 (~v116(constB107)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16546, 265, 16543])).
% 73.22/46.09 tff(16548,plain,
% 73.22/46.09 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB107) | (~v117(constB107)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB107) | (~v117(constB107)))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16549,plain,
% 73.22/46.09 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB107) | (~v117(constB107)))),
% 73.22/46.09 inference(quant_inst,[status(thm)],[])).
% 73.22/46.09 tff(16550,plain,
% 73.22/46.09 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB107) | (~v117(constB107))),
% 73.22/46.09 inference(modus_ponens,[status(thm)],[16549, 16548])).
% 73.22/46.09 tff(16551,plain,
% 73.22/46.09 ($false),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16550, 254, 16547, 16535])).
% 73.22/46.09 tff(16552,plain,(v100(constB108) | v90(constB108, bitIndex1) | v90(constB108, bitIndex0) | v90(constB108, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 73.22/46.09 tff(16553,plain,
% 73.22/46.09 (v100(constB108)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16552, 16498, 16497, 16496])).
% 73.22/46.09 tff(16554,plain,
% 73.22/46.09 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB108, bitIndex0) | (~v129(constB108, bitIndex0)) | (~v100(constB108)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~v129(constB108, bitIndex0)) | (~v100(constB108)))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16555,plain,
% 73.22/46.09 ((v90(constB108, bitIndex0) | (~v100(constB108)) | (~v129(constB108, bitIndex0))) <=> (v90(constB108, bitIndex0) | (~v129(constB108, bitIndex0)) | (~v100(constB108)))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16556,plain,
% 73.22/46.09 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB108, bitIndex0) | (~v100(constB108)) | (~v129(constB108, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB108, bitIndex0) | (~v129(constB108, bitIndex0)) | (~v100(constB108))))),
% 73.22/46.09 inference(monotonicity,[status(thm)],[16555])).
% 73.22/46.09 tff(16557,plain,
% 73.22/46.09 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB108, bitIndex0) | (~v100(constB108)) | (~v129(constB108, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~v129(constB108, bitIndex0)) | (~v100(constB108)))),
% 73.22/46.09 inference(transitivity,[status(thm)],[16556, 16554])).
% 73.22/46.09 tff(16558,plain,
% 73.22/46.09 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB108, bitIndex0) | (~v100(constB108)) | (~v129(constB108, bitIndex0)))),
% 73.22/46.09 inference(quant_inst,[status(thm)],[])).
% 73.22/46.09 tff(16559,plain,
% 73.22/46.09 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB108, bitIndex0) | (~v129(constB108, bitIndex0)) | (~v100(constB108))),
% 73.22/46.09 inference(modus_ponens,[status(thm)],[16558, 16557])).
% 73.22/46.09 tff(16560,plain,
% 73.22/46.09 ((~v129(constB108, bitIndex0)) | (~v100(constB108))),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16559, 401, 16497])).
% 73.22/46.09 tff(16561,plain,
% 73.22/46.09 (~v129(constB108, bitIndex0)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16560, 16553])).
% 73.22/46.09 tff(16562,plain,
% 73.22/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex0)) | v129(constB108, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex0)) | v129(constB108, bitIndex0))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16563,plain,
% 73.22/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex0)) | v129(constB108, bitIndex0))),
% 73.22/46.09 inference(quant_inst,[status(thm)],[])).
% 73.22/46.09 tff(16564,plain,
% 73.22/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex0)) | v129(constB108, bitIndex0)),
% 73.22/46.09 inference(modus_ponens,[status(thm)],[16563, 16562])).
% 73.22/46.09 tff(16565,plain,
% 73.22/46.09 ((~v127(constB107, bitIndex0)) | v129(constB108, bitIndex0)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16564, 197, 16158])).
% 73.22/46.09 tff(16566,plain,
% 73.22/46.09 (~v127(constB107, bitIndex0)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16565, 16561])).
% 73.22/46.09 tff(16567,plain,
% 73.22/46.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB107) | (~v130(constB107, bitIndex0)) | v127(constB107, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB107) | (~v130(constB107, bitIndex0)) | v127(constB107, bitIndex0))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16568,plain,
% 73.22/46.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB107) | (~v130(constB107, bitIndex0)) | v127(constB107, bitIndex0))),
% 73.22/46.09 inference(quant_inst,[status(thm)],[])).
% 73.22/46.09 tff(16569,plain,
% 73.22/46.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB107) | (~v130(constB107, bitIndex0)) | v127(constB107, bitIndex0)),
% 73.22/46.09 inference(modus_ponens,[status(thm)],[16568, 16567])).
% 73.22/46.09 tff(16570,plain,
% 73.22/46.09 ((~v130(constB107, bitIndex0)) | v127(constB107, bitIndex0)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16569, 179, 16200])).
% 73.22/46.09 tff(16571,plain,
% 73.22/46.09 (~v130(constB107, bitIndex0)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16570, 16566])).
% 73.22/46.09 tff(16572,plain,
% 73.22/46.09 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB107)) | v130(constB107, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB107)) | v130(constB107, bitIndex0))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16573,plain,
% 73.22/46.09 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB107)) | v130(constB107, bitIndex0))),
% 73.22/46.09 inference(quant_inst,[status(thm)],[])).
% 73.22/46.09 tff(16574,plain,
% 73.22/46.09 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB107)) | v130(constB107, bitIndex0)),
% 73.22/46.09 inference(modus_ponens,[status(thm)],[16573, 16572])).
% 73.22/46.09 tff(16575,plain,
% 73.22/46.09 (~v121(constB107)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16574, 1162, 16571])).
% 73.22/46.09 tff(16576,plain,
% 73.22/46.09 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB107)) | v130(constB107, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB107)) | v130(constB107, bitIndex0))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16577,plain,
% 73.22/46.09 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB107)) | v130(constB107, bitIndex0))),
% 73.22/46.09 inference(quant_inst,[status(thm)],[])).
% 73.22/46.09 tff(16578,plain,
% 73.22/46.09 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB107)) | v130(constB107, bitIndex0)),
% 73.22/46.09 inference(modus_ponens,[status(thm)],[16577, 16576])).
% 73.22/46.09 tff(16579,plain,
% 73.22/46.09 (~v119(constB107)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16578, 165, 16571])).
% 73.22/46.09 tff(16580,plain,
% 73.22/46.09 ((~v129(constB108, bitIndex1)) | (~v100(constB108))),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16316, 854, 16498])).
% 73.22/46.09 tff(16581,plain,
% 73.22/46.09 (~v129(constB108, bitIndex1)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16580, 16553])).
% 73.22/46.09 tff(16582,plain,
% 73.22/46.09 (~v127(constB107, bitIndex1)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16309, 16581])).
% 73.22/46.09 tff(16583,plain,
% 73.22/46.09 (~v130(constB107, bitIndex1)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16304, 16582])).
% 73.22/46.09 tff(16584,plain,
% 73.22/46.09 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB107)) | v130(constB107, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB107)) | v130(constB107, bitIndex1))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16585,plain,
% 73.22/46.09 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB107)) | v130(constB107, bitIndex1))),
% 73.22/46.09 inference(quant_inst,[status(thm)],[])).
% 73.22/46.09 tff(16586,plain,
% 73.22/46.09 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB107)) | v130(constB107, bitIndex1)),
% 73.22/46.09 inference(modus_ponens,[status(thm)],[16585, 16584])).
% 73.22/46.09 tff(16587,plain,
% 73.22/46.09 (~v120(constB107)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16586, 810, 16583])).
% 73.22/46.09 tff(16588,plain,
% 73.22/46.09 ((~v129(constB108, bitIndex2)) | (~v100(constB108))),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16216, 1334, 16496])).
% 73.22/46.09 tff(16589,plain,
% 73.22/46.09 (~v129(constB108, bitIndex2)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16588, 16553])).
% 73.22/46.09 tff(16590,plain,
% 73.22/46.09 (~v127(constB107, bitIndex2)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16209, 16589])).
% 73.22/46.09 tff(16591,plain,
% 73.22/46.09 (~v130(constB107, bitIndex2)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16204, 16590])).
% 73.22/46.09 tff(16592,plain,
% 73.22/46.09 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB107)) | v130(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB107)) | v130(constB107, bitIndex2))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16593,plain,
% 73.22/46.09 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB107)) | v130(constB107, bitIndex2))),
% 73.22/46.09 inference(quant_inst,[status(thm)],[])).
% 73.22/46.09 tff(16594,plain,
% 73.22/46.09 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB107)) | v130(constB107, bitIndex2)),
% 73.22/46.09 inference(modus_ponens,[status(thm)],[16593, 16592])).
% 73.22/46.09 tff(16595,plain,
% 73.22/46.09 (~v122(constB107)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16594, 1290, 16591])).
% 73.22/46.09 tff(16596,plain,
% 73.22/46.09 (~v124(constB107)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16195, 1786, 16591])).
% 73.22/46.09 tff(16597,plain,
% 73.22/46.09 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB107)) | v130(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB107)) | v130(constB107, bitIndex2))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16598,plain,
% 73.22/46.09 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB107)) | v130(constB107, bitIndex2))),
% 73.22/46.09 inference(quant_inst,[status(thm)],[])).
% 73.22/46.09 tff(16599,plain,
% 73.22/46.09 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB107)) | v130(constB107, bitIndex2)),
% 73.22/46.09 inference(modus_ponens,[status(thm)],[16598, 16597])).
% 73.22/46.09 tff(16600,plain,
% 73.22/46.09 (~v123(constB107)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16599, 1563, 16591])).
% 73.22/46.09 tff(16601,plain,
% 73.22/46.09 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB107, bitIndex0) | v124(constB107) | v120(constB107) | v119(constB107) | v121(constB107) | v122(constB107) | v123(constB107))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB107, bitIndex0) | v124(constB107) | v120(constB107) | v119(constB107) | v121(constB107) | v122(constB107) | v123(constB107))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16602,plain,
% 73.22/46.09 ((v120(constB107) | v119(constB107) | v121(constB107) | v122(constB107) | v123(constB107) | v124(constB107) | v130(constB107, bitIndex0)) <=> (v130(constB107, bitIndex0) | v124(constB107) | v120(constB107) | v119(constB107) | v121(constB107) | v122(constB107) | v123(constB107))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16603,plain,
% 73.22/46.09 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB107) | v119(constB107) | v121(constB107) | v122(constB107) | v123(constB107) | v124(constB107) | v130(constB107, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB107, bitIndex0) | v124(constB107) | v120(constB107) | v119(constB107) | v121(constB107) | v122(constB107) | v123(constB107)))),
% 73.22/46.09 inference(monotonicity,[status(thm)],[16602])).
% 73.22/46.09 tff(16604,plain,
% 73.22/46.09 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB107) | v119(constB107) | v121(constB107) | v122(constB107) | v123(constB107) | v124(constB107) | v130(constB107, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB107, bitIndex0) | v124(constB107) | v120(constB107) | v119(constB107) | v121(constB107) | v122(constB107) | v123(constB107))),
% 73.22/46.09 inference(transitivity,[status(thm)],[16603, 16601])).
% 73.22/46.09 tff(16605,plain,
% 73.22/46.09 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB107) | v119(constB107) | v121(constB107) | v122(constB107) | v123(constB107) | v124(constB107) | v130(constB107, bitIndex0))),
% 73.22/46.09 inference(quant_inst,[status(thm)],[])).
% 73.22/46.09 tff(16606,plain,
% 73.22/46.09 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB107, bitIndex0) | v124(constB107) | v120(constB107) | v119(constB107) | v121(constB107) | v122(constB107) | v123(constB107)),
% 73.22/46.09 inference(modus_ponens,[status(thm)],[16605, 16604])).
% 73.22/46.09 tff(16607,plain,
% 73.22/46.09 (v120(constB107) | v119(constB107) | v121(constB107)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16606, 2192, 16600, 16596, 16595, 16571])).
% 73.22/46.09 tff(16608,plain,
% 73.22/46.09 ($false),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16607, 16587, 16579, 16575])).
% 73.22/46.09 tff(16609,plain,(v90(constB108, bitIndex1) | v90(constB108, bitIndex0) | v90(constB108, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 73.22/46.09 tff(16610,plain,
% 73.22/46.09 (v90(constB108, bitIndex0)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16609, 16495, 16494])).
% 73.22/46.09 tff(16611,plain,
% 73.22/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex0))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16612,plain,
% 73.22/46.09 (((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex0)) | v100(constB109) | v90(constB109, bitIndex0)) <=> ((~v90(constB108, bitIndex0)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex0))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16613,plain,
% 73.22/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex0)) | v100(constB109) | v90(constB109, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex0)))),
% 73.22/46.09 inference(monotonicity,[status(thm)],[16612])).
% 73.22/46.09 tff(16614,plain,
% 73.22/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex0)) | v100(constB109) | v90(constB109, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex0))),
% 73.22/46.09 inference(transitivity,[status(thm)],[16613, 16611])).
% 73.22/46.09 tff(16615,plain,
% 73.22/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex0)) | v100(constB109) | v90(constB109, bitIndex0))),
% 73.22/46.09 inference(quant_inst,[status(thm)],[])).
% 73.22/46.09 tff(16616,plain,
% 73.22/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex0)),
% 73.22/46.09 inference(modus_ponens,[status(thm)],[16615, 16614])).
% 73.22/46.09 tff(16617,plain,
% 73.22/46.09 ((~v90(constB108, bitIndex0)) | v100(constB109) | v90(constB109, bitIndex0)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16616, 437, 16224])).
% 73.22/46.09 tff(16618,plain,
% 73.22/46.09 ((~v90(constB108, bitIndex0)) | v90(constB109, bitIndex0)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16617, 16236])).
% 73.22/46.09 tff(16619,plain,
% 73.22/46.09 (v90(constB109, bitIndex0)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16618, 16610])).
% 73.22/46.09 tff(16620,plain,
% 73.22/46.09 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB109, bitIndex0)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2) | v120(constB109))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB109, bitIndex0)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2) | v120(constB109))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16621,plain,
% 73.22/46.09 (((~v90(constB109, bitIndex0)) | v120(constB109) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2)) <=> ((~v90(constB109, bitIndex0)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2) | v120(constB109))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16622,plain,
% 73.22/46.09 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB109, bitIndex0)) | v120(constB109) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB109, bitIndex0)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2) | v120(constB109)))),
% 73.22/46.09 inference(monotonicity,[status(thm)],[16621])).
% 73.22/46.09 tff(16623,plain,
% 73.22/46.09 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB109, bitIndex0)) | v120(constB109) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB109, bitIndex0)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2) | v120(constB109))),
% 73.22/46.09 inference(transitivity,[status(thm)],[16622, 16620])).
% 73.22/46.09 tff(16624,plain,
% 73.22/46.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB109, bitIndex0)) | v120(constB109) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2))),
% 73.22/46.09 inference(quant_inst,[status(thm)],[])).
% 73.22/46.09 tff(16625,plain,
% 73.22/46.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB109, bitIndex0)) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2) | v120(constB109)),
% 73.22/46.09 inference(modus_ponens,[status(thm)],[16624, 16623])).
% 73.22/46.09 tff(16626,plain,
% 73.22/46.09 ((~v90(constB109, bitIndex0)) | v90(constB109, bitIndex1) | v120(constB109)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16625, 631, 16474])).
% 73.22/46.09 tff(16627,plain,
% 73.22/46.09 (v120(constB109)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16626, 16619, 16493])).
% 73.22/46.09 tff(16628,plain,
% 73.22/46.09 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB109) | (~v120(constB109)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB109) | (~v120(constB109)))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16629,plain,
% 73.22/46.09 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB109) | (~v120(constB109)))),
% 73.22/46.09 inference(quant_inst,[status(thm)],[])).
% 73.22/46.09 tff(16630,plain,
% 73.22/46.09 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB109) | (~v120(constB109))),
% 73.22/46.09 inference(modus_ponens,[status(thm)],[16629, 16628])).
% 73.22/46.09 tff(16631,plain,
% 73.22/46.09 ($false),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16630, 646, 16627, 16469])).
% 73.22/46.09 tff(16632,plain,(v116(constB109) | v90(constB109, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 73.22/46.09 tff(16633,plain,
% 73.22/46.09 (v116(constB109)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16632, 16460])).
% 73.22/46.09 tff(16634,plain,
% 73.22/46.09 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB109) | (~v116(constB109)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB109) | (~v116(constB109)))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16635,plain,
% 73.22/46.09 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB109) | (~v116(constB109)))),
% 73.22/46.09 inference(quant_inst,[status(thm)],[])).
% 73.22/46.09 tff(16636,plain,
% 73.22/46.09 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB109) | (~v116(constB109))),
% 73.22/46.09 inference(modus_ponens,[status(thm)],[16635, 16634])).
% 73.22/46.09 tff(16637,plain,
% 73.22/46.09 (v115(constB109)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16636, 265, 16633])).
% 73.22/46.09 tff(16638,plain,
% 73.22/46.09 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB109) | (~v115(constB109)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB109) | (~v115(constB109)))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16639,plain,
% 73.22/46.09 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB109) | (~v115(constB109)))),
% 73.22/46.09 inference(quant_inst,[status(thm)],[])).
% 73.22/46.09 tff(16640,plain,
% 73.22/46.09 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB109) | (~v115(constB109))),
% 73.22/46.09 inference(modus_ponens,[status(thm)],[16639, 16638])).
% 73.22/46.09 tff(16641,plain,
% 73.22/46.09 ($false),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16640, 276, 16637, 16430])).
% 73.22/46.09 tff(16642,plain,(v100(constB110) | (~v90(constB110, bitIndex1)) | v90(constB110, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.22/46.09 tff(16643,plain,
% 73.22/46.09 (v90(constB110, bitIndex0)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16642, 16379, 16371])).
% 73.22/46.09 tff(16644,plain,
% 73.22/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB109, bitIndex0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB109, bitIndex0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex0)))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16645,plain,
% 73.22/46.09 (((~nextState(constB109, constB110)) | v90(constB109, bitIndex0) | v100(constB110) | (~v90(constB110, bitIndex0))) <=> (v90(constB109, bitIndex0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex0)))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16646,plain,
% 73.22/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex0) | v100(constB110) | (~v90(constB110, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB109, bitIndex0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex0))))),
% 73.22/46.09 inference(monotonicity,[status(thm)],[16645])).
% 73.22/46.09 tff(16647,plain,
% 73.22/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex0) | v100(constB110) | (~v90(constB110, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB109, bitIndex0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex0)))),
% 73.22/46.09 inference(transitivity,[status(thm)],[16646, 16644])).
% 73.22/46.09 tff(16648,plain,
% 73.22/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB109, constB110)) | v90(constB109, bitIndex0) | v100(constB110) | (~v90(constB110, bitIndex0)))),
% 73.22/46.09 inference(quant_inst,[status(thm)],[])).
% 73.22/46.09 tff(16649,plain,
% 73.22/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB109, bitIndex0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, bitIndex0))),
% 73.22/46.09 inference(modus_ponens,[status(thm)],[16648, 16647])).
% 73.22/46.09 tff(16650,plain,
% 73.22/46.09 (v90(constB109, bitIndex0) | v100(constB110) | (~v90(constB110, bitIndex0))),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16649, 130, 16365])).
% 73.22/46.09 tff(16651,plain,
% 73.22/46.09 ($false),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16650, 16643, 16379, 16285])).
% 73.22/46.09 tff(16652,plain,((~v124(constB107)) | (~v90(constB110, bitIndex1)) | (~v100(constB108))), inference(lemma,lemma(discharge,[]))).
% 73.22/46.09 tff(16653,plain,
% 73.22/46.09 (~v90(constB110, bitIndex1)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16652, 16192, 16127])).
% 73.22/46.09 tff(16654,assumption,(~v90(constB110, bitIndex1)), introduced(assumption)).
% 73.22/46.09 tff(16655,assumption,(v121(constB109)), introduced(assumption)).
% 73.22/46.09 tff(16656,plain,
% 73.22/46.09 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB109, bitIndex1) | (~v121(constB109)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB109, bitIndex1) | (~v121(constB109)))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16657,plain,
% 73.22/46.09 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB109, bitIndex1) | (~v121(constB109)))),
% 73.22/46.09 inference(quant_inst,[status(thm)],[])).
% 73.22/46.09 tff(16658,plain,
% 73.22/46.09 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB109, bitIndex1) | (~v121(constB109))),
% 73.22/46.09 inference(modus_ponens,[status(thm)],[16657, 16656])).
% 73.22/46.09 tff(16659,plain,
% 73.22/46.09 (v90(constB109, bitIndex1)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16658, 3190, 16655])).
% 73.22/46.09 tff(16660,plain,
% 73.22/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB109, bitIndex1)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB109, bitIndex1)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex1))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16661,plain,
% 73.22/46.09 (((~nextState(constB109, constB110)) | (~v90(constB109, bitIndex1)) | v100(constB110) | v90(constB110, bitIndex1)) <=> ((~v90(constB109, bitIndex1)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex1))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16662,plain,
% 73.22/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB109, constB110)) | (~v90(constB109, bitIndex1)) | v100(constB110) | v90(constB110, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB109, bitIndex1)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex1)))),
% 73.22/46.09 inference(monotonicity,[status(thm)],[16661])).
% 73.22/46.09 tff(16663,plain,
% 73.22/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB109, constB110)) | (~v90(constB109, bitIndex1)) | v100(constB110) | v90(constB110, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB109, bitIndex1)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex1))),
% 73.22/46.09 inference(transitivity,[status(thm)],[16662, 16660])).
% 73.22/46.09 tff(16664,plain,
% 73.22/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB109, constB110)) | (~v90(constB109, bitIndex1)) | v100(constB110) | v90(constB110, bitIndex1))),
% 73.22/46.09 inference(quant_inst,[status(thm)],[])).
% 73.22/46.09 tff(16665,plain,
% 73.22/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB109, bitIndex1)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, bitIndex1)),
% 73.22/46.09 inference(modus_ponens,[status(thm)],[16664, 16663])).
% 73.22/46.09 tff(16666,plain,
% 73.22/46.09 ((~v90(constB109, bitIndex1)) | v100(constB110) | v90(constB110, bitIndex1)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16665, 872, 16365])).
% 73.22/46.09 tff(16667,plain,
% 73.22/46.09 (v100(constB110)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16666, 16659, 16654])).
% 73.22/46.09 tff(16668,plain,
% 73.22/46.09 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB109)) | v130(constB109, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB109)) | v130(constB109, bitIndex1))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16669,plain,
% 73.22/46.09 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB109)) | v130(constB109, bitIndex1))),
% 73.22/46.09 inference(quant_inst,[status(thm)],[])).
% 73.22/46.09 tff(16670,plain,
% 73.22/46.09 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB109)) | v130(constB109, bitIndex1)),
% 73.22/46.09 inference(modus_ponens,[status(thm)],[16669, 16668])).
% 73.22/46.09 tff(16671,plain,
% 73.22/46.09 (v130(constB109, bitIndex1)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16670, 1121, 16655])).
% 73.22/46.09 tff(16672,plain,
% 73.22/46.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB109) | (~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB109) | (~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16673,plain,
% 73.22/46.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB109) | (~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1))),
% 73.22/46.09 inference(quant_inst,[status(thm)],[])).
% 73.22/46.09 tff(16674,plain,
% 73.22/46.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB109) | (~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1)),
% 73.22/46.09 inference(modus_ponens,[status(thm)],[16673, 16672])).
% 73.22/46.09 tff(16675,plain,
% 73.22/46.09 ((~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16674, 824, 16354])).
% 73.22/46.09 tff(16676,plain,
% 73.22/46.09 (v127(constB109, bitIndex1)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16675, 16671])).
% 73.22/46.09 tff(16677,plain,
% 73.22/46.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16678,plain,
% 73.22/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1))),
% 73.22/46.09 inference(quant_inst,[status(thm)],[])).
% 73.22/46.09 tff(16679,plain,
% 73.22/46.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1)),
% 73.22/46.09 inference(modus_ponens,[status(thm)],[16678, 16677])).
% 73.22/46.09 tff(16680,plain,
% 73.22/46.09 ((~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16679, 839, 16365])).
% 73.22/46.09 tff(16681,plain,
% 73.22/46.09 (v129(constB110, bitIndex1)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16680, 16676])).
% 73.22/46.09 tff(16682,plain,
% 73.22/46.09 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110)))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16683,plain,
% 73.22/46.09 ((v90(constB110, bitIndex1) | (~v100(constB110)) | (~v129(constB110, bitIndex1))) <=> (v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110)))),
% 73.22/46.09 inference(rewrite,[status(thm)],[])).
% 73.22/46.09 tff(16684,plain,
% 73.22/46.09 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~v100(constB110)) | (~v129(constB110, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110))))),
% 73.22/46.09 inference(monotonicity,[status(thm)],[16683])).
% 73.22/46.09 tff(16685,plain,
% 73.22/46.09 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~v100(constB110)) | (~v129(constB110, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110)))),
% 73.22/46.09 inference(transitivity,[status(thm)],[16684, 16682])).
% 73.22/46.09 tff(16686,plain,
% 73.22/46.09 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~v100(constB110)) | (~v129(constB110, bitIndex1)))),
% 73.22/46.09 inference(quant_inst,[status(thm)],[])).
% 73.22/46.09 tff(16687,plain,
% 73.22/46.09 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110))),
% 73.22/46.09 inference(modus_ponens,[status(thm)],[16686, 16685])).
% 73.22/46.09 tff(16688,plain,
% 73.22/46.09 ((~v129(constB110, bitIndex1)) | (~v100(constB110))),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16687, 854, 16654])).
% 73.22/46.09 tff(16689,plain,
% 73.22/46.09 ($false),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16688, 16681, 16667])).
% 73.22/46.09 tff(16690,plain,((~v121(constB109)) | v90(constB110, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 73.22/46.09 tff(16691,plain,
% 73.22/46.09 (~v121(constB109)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16690, 16653])).
% 73.22/46.09 tff(16692,plain,
% 73.22/46.09 (v130(constB107, bitIndex1)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16299, 1867, 16127])).
% 73.22/46.09 tff(16693,plain,
% 73.22/46.09 (v127(constB107, bitIndex1)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16304, 16692])).
% 73.22/46.09 tff(16694,plain,
% 73.22/46.09 (v129(constB108, bitIndex1)),
% 73.22/46.09 inference(unit_resolution,[status(thm)],[16309, 16693])).
% 73.22/46.10 tff(16695,plain,
% 73.22/46.10 (v90(constB108, bitIndex1) | (~v100(constB108))),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16316, 854, 16694])).
% 73.22/46.10 tff(16696,plain,
% 73.22/46.10 (v90(constB108, bitIndex1)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16695, 16192])).
% 73.22/46.10 tff(16697,plain,
% 73.22/46.10 (v90(constB109, bitIndex1)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16326, 16696])).
% 73.22/46.10 tff(16698,plain,
% 73.22/46.10 (~v124(constB109)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16330, 1941, 16697])).
% 73.22/46.10 tff(16699,plain,
% 73.22/46.10 (~v123(constB109)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16334, 1930, 16697])).
% 73.22/46.10 tff(16700,plain,
% 73.22/46.10 (~v120(constB109)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16338, 1919, 16697])).
% 73.22/46.10 tff(16701,plain,
% 73.22/46.10 (~v119(constB109)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16342, 1908, 16697])).
% 73.22/46.10 tff(16702,plain,
% 73.22/46.10 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB109, bitIndex0) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB109, bitIndex0) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16703,plain,
% 73.22/46.10 ((v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, bitIndex0)) <=> (v130(constB109, bitIndex0) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16704,plain,
% 73.22/46.10 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB109, bitIndex0) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109)))),
% 73.22/46.10 inference(monotonicity,[status(thm)],[16703])).
% 73.22/46.10 tff(16705,plain,
% 73.22/46.10 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB109, bitIndex0) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109))),
% 73.22/46.10 inference(transitivity,[status(thm)],[16704, 16702])).
% 73.22/46.10 tff(16706,plain,
% 73.22/46.10 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, bitIndex0))),
% 73.22/46.10 inference(quant_inst,[status(thm)],[])).
% 73.22/46.10 tff(16707,plain,
% 73.22/46.10 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB109, bitIndex0) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109)),
% 73.22/46.10 inference(modus_ponens,[status(thm)],[16706, 16705])).
% 73.22/46.10 tff(16708,plain,
% 73.22/46.10 (v130(constB109, bitIndex0)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16707, 2192, 16701, 16700, 16699, 16698, 16691, 16249])).
% 73.22/46.10 tff(16709,plain,
% 73.22/46.10 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16710,plain,
% 73.22/46.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0))),
% 73.22/46.10 inference(quant_inst,[status(thm)],[])).
% 73.22/46.10 tff(16711,plain,
% 73.22/46.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0)),
% 73.22/46.10 inference(modus_ponens,[status(thm)],[16710, 16709])).
% 73.22/46.10 tff(16712,plain,
% 73.22/46.10 ((~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16711, 179, 16354])).
% 73.22/46.10 tff(16713,plain,
% 73.22/46.10 (v127(constB109, bitIndex0)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16712, 16708])).
% 73.22/46.10 tff(16714,plain,
% 73.22/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16715,plain,
% 73.22/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0))),
% 73.22/46.10 inference(quant_inst,[status(thm)],[])).
% 73.22/46.10 tff(16716,plain,
% 73.22/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0)),
% 73.22/46.10 inference(modus_ponens,[status(thm)],[16715, 16714])).
% 73.22/46.10 tff(16717,plain,
% 73.22/46.10 ((~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16716, 197, 16365])).
% 73.22/46.10 tff(16718,plain,
% 73.22/46.10 (v129(constB110, bitIndex0)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16717, 16713])).
% 73.22/46.10 tff(16719,plain,
% 73.22/46.10 (v100(constB110)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16666, 16697, 16653])).
% 73.22/46.10 tff(16720,plain,
% 73.22/46.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16721,plain,
% 73.22/46.10 ((v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0))) <=> (v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16722,plain,
% 73.22/46.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110))))),
% 73.22/46.10 inference(monotonicity,[status(thm)],[16721])).
% 73.22/46.10 tff(16723,plain,
% 73.22/46.10 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))),
% 73.22/46.10 inference(transitivity,[status(thm)],[16722, 16720])).
% 73.22/46.10 tff(16724,plain,
% 73.22/46.10 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0)))),
% 73.22/46.10 inference(quant_inst,[status(thm)],[])).
% 73.22/46.10 tff(16725,plain,
% 73.22/46.10 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110))),
% 73.22/46.10 inference(modus_ponens,[status(thm)],[16724, 16723])).
% 73.22/46.10 tff(16726,plain,
% 73.22/46.10 (v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0))),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16725, 401, 16719])).
% 73.22/46.10 tff(16727,plain,
% 73.22/46.10 (v90(constB110, bitIndex0)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16726, 16718])).
% 73.22/46.10 tff(16728,plain,
% 73.22/46.10 ((~v1(constB111)) <=> (~v1(constB111))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16729,axiom,(~v1(constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_111_1_1')).
% 73.22/46.10 tff(16730,plain,
% 73.22/46.10 (~v1(constB111)),
% 73.22/46.10 inference(modus_ponens,[status(thm)],[16729, 16728])).
% 73.22/46.10 tff(16731,plain,
% 73.22/46.10 (nextState(constB110, constB111) <=> nextState(constB110, constB111)),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16732,axiom,(nextState(constB110, constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_110_1')).
% 73.22/46.10 tff(16733,plain,
% 73.22/46.10 (nextState(constB110, constB111)),
% 73.22/46.10 inference(modus_ponens,[status(thm)],[16732, 16731])).
% 73.22/46.10 tff(16734,plain,
% 73.22/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16735,plain,
% 73.22/46.10 (((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111)) <=> (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16736,plain,
% 73.22/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111))))),
% 73.22/46.10 inference(monotonicity,[status(thm)],[16735])).
% 73.22/46.10 tff(16737,plain,
% 73.22/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 73.22/46.10 inference(transitivity,[status(thm)],[16736, 16734])).
% 73.22/46.10 tff(16738,plain,
% 73.22/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))),
% 73.22/46.10 inference(quant_inst,[status(thm)],[])).
% 73.22/46.10 tff(16739,plain,
% 73.22/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111))),
% 73.22/46.10 inference(modus_ponens,[status(thm)],[16738, 16737])).
% 73.22/46.10 tff(16740,plain,
% 73.22/46.10 (~v101(constB111)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16739, 56, 16733, 16730])).
% 73.22/46.10 tff(16741,plain,
% 73.22/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16742,plain,
% 73.22/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))),
% 73.22/46.10 inference(quant_inst,[status(thm)],[])).
% 73.22/46.10 tff(16743,plain,
% 73.22/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111))),
% 73.22/46.10 inference(modus_ponens,[status(thm)],[16742, 16741])).
% 73.22/46.10 tff(16744,plain,
% 73.22/46.10 (v101(constB111) | (~v100(constB111))),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16743, 73, 16733])).
% 73.22/46.10 tff(16745,plain,
% 73.22/46.10 (~v100(constB111)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16744, 16740])).
% 73.22/46.10 tff(16746,plain,
% 73.22/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16747,plain,
% 73.22/46.10 (((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0)) <=> ((~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16748,plain,
% 73.22/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0)))),
% 73.22/46.10 inference(monotonicity,[status(thm)],[16747])).
% 73.22/46.10 tff(16749,plain,
% 73.22/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))),
% 73.22/46.10 inference(transitivity,[status(thm)],[16748, 16746])).
% 73.22/46.10 tff(16750,plain,
% 73.22/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0))),
% 73.22/46.10 inference(quant_inst,[status(thm)],[])).
% 73.22/46.10 tff(16751,plain,
% 73.22/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0)),
% 73.22/46.10 inference(modus_ponens,[status(thm)],[16750, 16749])).
% 73.22/46.10 tff(16752,plain,
% 73.22/46.10 ((~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16751, 437, 16733])).
% 73.22/46.10 tff(16753,plain,
% 73.22/46.10 ((~v90(constB110, bitIndex0)) | v90(constB111, bitIndex0)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16752, 16745])).
% 73.22/46.10 tff(16754,plain,
% 73.22/46.10 (v90(constB111, bitIndex0)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16753, 16727])).
% 73.22/46.10 tff(16755,plain,
% 73.22/46.10 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB109, bitIndex2)) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB109, bitIndex2)) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16756,plain,
% 73.22/46.10 ((v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex2))) <=> ((~v130(constB109, bitIndex2)) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16757,plain,
% 73.22/46.10 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB109, bitIndex2)) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109)))),
% 73.22/46.10 inference(monotonicity,[status(thm)],[16756])).
% 73.22/46.10 tff(16758,plain,
% 73.22/46.10 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB109, bitIndex2)) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109))),
% 73.22/46.10 inference(transitivity,[status(thm)],[16757, 16755])).
% 73.22/46.10 tff(16759,plain,
% 73.22/46.10 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB109) | v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, bitIndex2)))),
% 73.22/46.10 inference(quant_inst,[status(thm)],[])).
% 73.22/46.10 tff(16760,plain,
% 73.22/46.10 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB109, bitIndex2)) | v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109)),
% 73.22/46.10 inference(modus_ponens,[status(thm)],[16759, 16758])).
% 73.22/46.10 tff(16761,plain,
% 73.22/46.10 (~v130(constB109, bitIndex2)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16760, 1955, 16701, 16700, 16699, 16698, 16691, 16249])).
% 73.22/46.10 tff(16762,plain,
% 73.22/46.10 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16763,plain,
% 73.22/46.10 ((v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2))) <=> ((~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16764,plain,
% 73.22/46.10 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2)))),
% 73.22/46.10 inference(monotonicity,[status(thm)],[16763])).
% 73.22/46.10 tff(16765,plain,
% 73.22/46.10 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))),
% 73.22/46.10 inference(transitivity,[status(thm)],[16764, 16762])).
% 73.22/46.10 tff(16766,plain,
% 73.22/46.10 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2)))),
% 73.22/46.10 inference(quant_inst,[status(thm)],[])).
% 73.22/46.10 tff(16767,plain,
% 73.22/46.10 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2)),
% 73.22/46.10 inference(modus_ponens,[status(thm)],[16766, 16765])).
% 73.22/46.10 tff(16768,plain,
% 73.22/46.10 ((~v127(constB109, bitIndex2)) | v130(constB109, bitIndex2)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16767, 470, 16354])).
% 73.22/46.10 tff(16769,plain,
% 73.22/46.10 (~v127(constB109, bitIndex2)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16768, 16761])).
% 73.22/46.10 tff(16770,plain,
% 73.22/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2)))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16771,plain,
% 73.22/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2)))),
% 73.22/46.10 inference(quant_inst,[status(thm)],[])).
% 73.22/46.10 tff(16772,plain,
% 73.22/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2))),
% 73.22/46.10 inference(modus_ponens,[status(thm)],[16771, 16770])).
% 73.22/46.10 tff(16773,plain,
% 73.22/46.10 (v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2))),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16772, 488, 16365])).
% 73.22/46.10 tff(16774,plain,
% 73.22/46.10 (~v129(constB110, bitIndex2)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16773, 16769])).
% 73.22/46.10 tff(16775,plain,
% 73.22/46.10 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16776,plain,
% 73.22/46.10 (((~v90(constB110, bitIndex2)) | (~v100(constB110)) | v129(constB110, bitIndex2)) <=> ((~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16777,plain,
% 73.22/46.10 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB110, bitIndex2)) | (~v100(constB110)) | v129(constB110, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110))))),
% 73.22/46.10 inference(monotonicity,[status(thm)],[16776])).
% 73.22/46.10 tff(16778,plain,
% 73.22/46.10 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB110, bitIndex2)) | (~v100(constB110)) | v129(constB110, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))),
% 73.22/46.10 inference(transitivity,[status(thm)],[16777, 16775])).
% 73.22/46.10 tff(16779,plain,
% 73.22/46.10 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB110, bitIndex2)) | (~v100(constB110)) | v129(constB110, bitIndex2))),
% 73.22/46.10 inference(quant_inst,[status(thm)],[])).
% 73.22/46.10 tff(16780,plain,
% 73.22/46.10 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110))),
% 73.22/46.10 inference(modus_ponens,[status(thm)],[16779, 16778])).
% 73.22/46.10 tff(16781,plain,
% 73.22/46.10 ((~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16780, 503, 16719])).
% 73.22/46.10 tff(16782,plain,
% 73.22/46.10 (~v90(constB110, bitIndex2)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16781, 16774])).
% 73.22/46.10 tff(16783,plain,
% 73.22/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16784,plain,
% 73.22/46.10 (((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2))) <=> (v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16785,plain,
% 73.22/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2))))),
% 73.22/46.10 inference(monotonicity,[status(thm)],[16784])).
% 73.22/46.10 tff(16786,plain,
% 73.22/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 73.22/46.10 inference(transitivity,[status(thm)],[16785, 16783])).
% 73.22/46.10 tff(16787,plain,
% 73.22/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 73.22/46.10 inference(quant_inst,[status(thm)],[])).
% 73.22/46.10 tff(16788,plain,
% 73.22/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2))),
% 73.22/46.10 inference(modus_ponens,[status(thm)],[16787, 16786])).
% 73.22/46.10 tff(16789,plain,
% 73.22/46.10 (v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2))),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16788, 88, 16733])).
% 73.22/46.10 tff(16790,plain,
% 73.22/46.10 (v90(constB110, bitIndex2) | (~v90(constB111, bitIndex2))),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16789, 16745])).
% 73.22/46.10 tff(16791,plain,
% 73.22/46.10 (~v90(constB111, bitIndex2)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16790, 16782])).
% 73.22/46.10 tff(16792,plain,
% 73.22/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex1)))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16793,plain,
% 73.22/46.10 (((~nextState(constB110, constB111)) | v90(constB110, bitIndex1) | v100(constB111) | (~v90(constB111, bitIndex1))) <=> (v90(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex1)))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16794,plain,
% 73.22/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex1) | v100(constB111) | (~v90(constB111, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex1))))),
% 73.22/46.10 inference(monotonicity,[status(thm)],[16793])).
% 73.22/46.10 tff(16795,plain,
% 73.22/46.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex1) | v100(constB111) | (~v90(constB111, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex1)))),
% 73.22/46.10 inference(transitivity,[status(thm)],[16794, 16792])).
% 73.22/46.10 tff(16796,plain,
% 73.22/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB110, constB111)) | v90(constB110, bitIndex1) | v100(constB111) | (~v90(constB111, bitIndex1)))),
% 73.22/46.10 inference(quant_inst,[status(thm)],[])).
% 73.22/46.10 tff(16797,plain,
% 73.22/46.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex1))),
% 73.22/46.10 inference(modus_ponens,[status(thm)],[16796, 16795])).
% 73.22/46.10 tff(16798,plain,
% 73.22/46.10 (v90(constB110, bitIndex1) | v100(constB111) | (~v90(constB111, bitIndex1))),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16797, 109, 16733])).
% 73.22/46.10 tff(16799,plain,
% 73.22/46.10 (v90(constB110, bitIndex1) | (~v90(constB111, bitIndex1))),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16798, 16745])).
% 73.22/46.10 tff(16800,plain,
% 73.22/46.10 (~v90(constB111, bitIndex1)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16799, 16653])).
% 73.22/46.10 tff(16801,plain,
% 73.22/46.10 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16802,plain,
% 73.22/46.10 (((~v90(constB111, bitIndex0)) | v120(constB111) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2)) <=> ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16803,plain,
% 73.22/46.10 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB111, bitIndex0)) | v120(constB111) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111)))),
% 73.22/46.10 inference(monotonicity,[status(thm)],[16802])).
% 73.22/46.10 tff(16804,plain,
% 73.22/46.10 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB111, bitIndex0)) | v120(constB111) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111))),
% 73.22/46.10 inference(transitivity,[status(thm)],[16803, 16801])).
% 73.22/46.10 tff(16805,plain,
% 73.22/46.10 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB111, bitIndex0)) | v120(constB111) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2))),
% 73.22/46.10 inference(quant_inst,[status(thm)],[])).
% 73.22/46.10 tff(16806,plain,
% 73.22/46.10 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB111, bitIndex0)) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | v120(constB111)),
% 73.22/46.10 inference(modus_ponens,[status(thm)],[16805, 16804])).
% 73.22/46.10 tff(16807,plain,
% 73.22/46.10 ((~v90(constB111, bitIndex0)) | v90(constB111, bitIndex2) | v120(constB111)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16806, 631, 16800])).
% 73.22/46.10 tff(16808,plain,
% 73.22/46.10 (v120(constB111)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16807, 16791, 16754])).
% 73.22/46.10 tff(16809,assumption,(v120(constB111)), introduced(assumption)).
% 73.22/46.10 tff(16810,plain,
% 73.22/46.10 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB111) | (~v120(constB111)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB111) | (~v120(constB111)))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16811,plain,
% 73.22/46.10 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB111) | (~v120(constB111)))),
% 73.22/46.10 inference(quant_inst,[status(thm)],[])).
% 73.22/46.10 tff(16812,plain,
% 73.22/46.10 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB111) | (~v120(constB111))),
% 73.22/46.10 inference(modus_ponens,[status(thm)],[16811, 16810])).
% 73.22/46.10 tff(16813,plain,
% 73.22/46.10 (v118(constB111)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16812, 646, 16809])).
% 73.22/46.10 tff(16814,plain,
% 73.22/46.10 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB111) | (~v118(constB111)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB111) | (~v118(constB111)))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16815,plain,
% 73.22/46.10 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB111) | (~v118(constB111)))),
% 73.22/46.10 inference(quant_inst,[status(thm)],[])).
% 73.22/46.10 tff(16816,plain,
% 73.22/46.10 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB111) | (~v118(constB111))),
% 73.22/46.10 inference(modus_ponens,[status(thm)],[16815, 16814])).
% 73.22/46.10 tff(16817,plain,
% 73.22/46.10 (v117(constB111)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16816, 243, 16813])).
% 73.22/46.10 tff(16818,plain,
% 73.22/46.10 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB111) | (~v117(constB111)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB111) | (~v117(constB111)))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16819,plain,
% 73.22/46.10 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB111) | (~v117(constB111)))),
% 73.22/46.10 inference(quant_inst,[status(thm)],[])).
% 73.22/46.10 tff(16820,plain,
% 73.22/46.10 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB111) | (~v117(constB111))),
% 73.22/46.10 inference(modus_ponens,[status(thm)],[16819, 16818])).
% 73.22/46.10 tff(16821,plain,
% 73.22/46.10 (v116(constB111)),
% 73.22/46.10 inference(unit_resolution,[status(thm)],[16820, 254, 16817])).
% 73.22/46.10 tff(16822,plain,
% 73.22/46.10 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB111) | (~v116(constB111)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB111) | (~v116(constB111)))),
% 73.22/46.10 inference(rewrite,[status(thm)],[])).
% 73.22/46.10 tff(16823,plain,
% 73.22/46.10 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB111) | (~v116(constB111)))),
% 73.22/46.11 inference(quant_inst,[status(thm)],[])).
% 73.22/46.11 tff(16824,plain,
% 73.22/46.11 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB111) | (~v116(constB111))),
% 73.22/46.11 inference(modus_ponens,[status(thm)],[16823, 16822])).
% 73.22/46.11 tff(16825,plain,
% 73.22/46.11 (v115(constB111)),
% 73.22/46.11 inference(unit_resolution,[status(thm)],[16824, 265, 16821])).
% 73.22/46.11 tff(16826,plain,
% 73.22/46.11 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB111) | (~v115(constB111)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB111) | (~v115(constB111)))),
% 73.22/46.11 inference(rewrite,[status(thm)],[])).
% 73.22/46.11 tff(16827,plain,
% 73.22/46.11 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB111) | (~v115(constB111)))),
% 73.22/46.11 inference(quant_inst,[status(thm)],[])).
% 73.22/46.11 tff(16828,plain,
% 73.22/46.11 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB111) | (~v115(constB111))),
% 73.22/46.11 inference(modus_ponens,[status(thm)],[16827, 16826])).
% 73.22/46.11 tff(16829,plain,
% 73.22/46.11 (v114(constB111)),
% 73.22/46.11 inference(unit_resolution,[status(thm)],[16828, 276, 16825])).
% 73.22/46.11 tff(16830,plain,
% 73.22/46.11 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB111) | (~v114(constB111)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB111) | (~v114(constB111)))),
% 73.22/46.11 inference(rewrite,[status(thm)],[])).
% 73.22/46.11 tff(16831,plain,
% 73.22/46.11 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB111) | (~v114(constB111)))),
% 73.22/46.11 inference(quant_inst,[status(thm)],[])).
% 73.22/46.11 tff(16832,plain,
% 73.22/46.11 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB111) | (~v114(constB111))),
% 73.22/46.11 inference(modus_ponens,[status(thm)],[16831, 16830])).
% 73.22/46.11 tff(16833,plain,
% 73.22/46.11 (v113(constB111)),
% 73.22/46.11 inference(unit_resolution,[status(thm)],[16832, 287, 16829])).
% 73.22/46.11 tff(16834,assumption,(~v108(constB111)), introduced(assumption)).
% 73.22/46.11 tff(16835,plain,
% 73.22/46.11 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB111) | (~v112(constB111)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB111) | (~v112(constB111)))),
% 73.22/46.11 inference(rewrite,[status(thm)],[])).
% 73.22/46.11 tff(16836,plain,
% 73.22/46.11 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB111) | (~v112(constB111)))),
% 73.22/46.11 inference(quant_inst,[status(thm)],[])).
% 73.22/46.11 tff(16837,plain,
% 73.22/46.11 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB111) | (~v112(constB111))),
% 73.22/46.11 inference(modus_ponens,[status(thm)],[16836, 16835])).
% 73.22/46.11 tff(16838,plain,
% 73.22/46.11 (~v112(constB111)),
% 73.22/46.11 inference(unit_resolution,[status(thm)],[16837, 210, 16834])).
% 73.22/46.11 tff(16839,plain,
% 73.22/46.11 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB111) | (~v26(constB111)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB111) | (~v26(constB111)))),
% 73.22/46.11 inference(rewrite,[status(thm)],[])).
% 73.22/46.11 tff(16840,plain,
% 73.22/46.11 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB111) | (~v26(constB111)))),
% 73.22/46.11 inference(quant_inst,[status(thm)],[])).
% 73.22/46.11 tff(16841,plain,
% 73.22/46.11 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB111) | (~v26(constB111))),
% 73.22/46.11 inference(modus_ponens,[status(thm)],[16840, 16839])).
% 73.22/46.11 tff(16842,plain,
% 73.22/46.11 (~v26(constB111)),
% 73.22/46.11 inference(unit_resolution,[status(thm)],[16841, 221, 16834])).
% 73.22/46.11 tff(16843,assumption,(v113(constB111)), introduced(assumption)).
% 73.22/46.11 tff(16844,plain,
% 73.22/46.11 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | (~v113(constB111)) | v112(constB111))),
% 73.22/46.11 inference(rewrite,[status(thm)],[])).
% 73.22/46.11 tff(16845,plain,
% 73.22/46.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))),
% 73.22/46.11 inference(quant_inst,[status(thm)],[])).
% 73.22/46.11 tff(16846,plain,
% 73.22/46.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | (~v113(constB111)) | v112(constB111)),
% 73.22/46.11 inference(modus_ponens,[status(thm)],[16845, 16844])).
% 73.22/46.11 tff(16847,plain,
% 73.22/46.11 (v26(constB111) | v112(constB111)),
% 73.22/46.11 inference(unit_resolution,[status(thm)],[16846, 301, 16843])).
% 73.22/46.11 tff(16848,plain,
% 73.22/46.11 ($false),
% 73.22/46.11 inference(unit_resolution,[status(thm)],[16847, 16842, 16838])).
% 73.22/46.11 tff(16849,plain,(v108(constB111) | (~v113(constB111))), inference(lemma,lemma(discharge,[]))).
% 73.22/46.11 tff(16850,plain,
% 73.22/46.11 (v108(constB111)),
% 73.22/46.11 inference(unit_resolution,[status(thm)],[16849, 16833])).
% 73.22/46.11 tff(16851,plain,
% 73.22/46.11 (nextState(constB111, constB112) <=> nextState(constB111, constB112)),
% 73.22/46.11 inference(rewrite,[status(thm)],[])).
% 73.22/46.11 tff(16852,axiom,(nextState(constB111, constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_111_1')).
% 73.22/46.11 tff(16853,plain,
% 73.22/46.11 (nextState(constB111, constB112)),
% 73.22/46.11 inference(modus_ponens,[status(thm)],[16852, 16851])).
% 73.22/46.11 tff(16854,plain,
% 73.22/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 73.22/46.11 inference(rewrite,[status(thm)],[])).
% 73.22/46.11 tff(16855,plain,
% 73.22/46.11 (((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112)) <=> ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 73.22/46.11 inference(rewrite,[status(thm)],[])).
% 73.22/46.11 tff(16856,plain,
% 73.22/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111))))),
% 73.22/46.11 inference(monotonicity,[status(thm)],[16855])).
% 73.22/46.11 tff(16857,plain,
% 73.22/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 73.22/46.11 inference(transitivity,[status(thm)],[16856, 16854])).
% 73.22/46.11 tff(16858,plain,
% 73.22/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))),
% 73.22/46.11 inference(quant_inst,[status(thm)],[])).
% 73.22/46.11 tff(16859,plain,
% 73.22/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111))),
% 73.22/46.11 inference(modus_ponens,[status(thm)],[16858, 16857])).
% 73.22/46.11 tff(16860,plain,
% 73.22/46.11 (v110(constB112) | (~v108(constB111))),
% 73.22/46.11 inference(unit_resolution,[status(thm)],[16859, 317, 16853])).
% 73.22/46.11 tff(16861,plain,
% 73.22/46.11 (v110(constB112)),
% 73.22/46.11 inference(unit_resolution,[status(thm)],[16860, 16850])).
% 73.22/46.11 tff(16862,plain,
% 73.22/46.11 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))),
% 73.22/46.11 inference(rewrite,[status(thm)],[])).
% 73.22/46.11 tff(16863,plain,
% 73.22/46.11 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))),
% 73.22/46.11 inference(quant_inst,[status(thm)],[])).
% 73.22/46.11 tff(16864,plain,
% 73.22/46.11 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112))),
% 73.22/46.11 inference(modus_ponens,[status(thm)],[16863, 16862])).
% 73.22/46.11 tff(16865,plain,
% 73.22/46.11 (~v104(constB112)),
% 73.22/46.11 inference(unit_resolution,[status(thm)],[16864, 335, 16853, 16730])).
% 73.22/46.11 tff(16866,plain,
% 73.22/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))),
% 73.22/46.11 inference(rewrite,[status(thm)],[])).
% 73.22/46.11 tff(16867,plain,
% 73.22/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))),
% 73.22/46.11 inference(quant_inst,[status(thm)],[])).
% 73.22/46.11 tff(16868,plain,
% 73.22/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v102(constB112) | v104(constB112)),
% 73.22/46.11 inference(modus_ponens,[status(thm)],[16867, 16866])).
% 73.22/46.11 tff(16869,plain,
% 73.22/46.11 (v102(constB112) | v104(constB112)),
% 73.22/46.11 inference(unit_resolution,[status(thm)],[16868, 349, 16853])).
% 73.22/46.11 tff(16870,plain,
% 73.22/46.11 (v102(constB112)),
% 73.22/46.11 inference(unit_resolution,[status(thm)],[16869, 16865])).
% 73.22/46.11 tff(16871,plain,
% 73.22/46.11 (v1(constB112) <=> v1(constB112)),
% 73.22/46.11 inference(rewrite,[status(thm)],[])).
% 73.22/46.11 tff(16872,axiom,(v1(constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_112_1')).
% 73.22/46.11 tff(16873,plain,
% 73.22/46.11 (v1(constB112)),
% 73.22/46.11 inference(modus_ponens,[status(thm)],[16872, 16871])).
% 73.22/46.11 tff(16874,plain,
% 73.22/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))),
% 73.22/46.11 inference(rewrite,[status(thm)],[])).
% 73.22/46.11 tff(16875,plain,
% 73.22/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))),
% 73.22/46.11 inference(quant_inst,[status(thm)],[])).
% 73.22/46.11 tff(16876,plain,
% 73.22/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112))),
% 73.22/46.11 inference(modus_ponens,[status(thm)],[16875, 16874])).
% 73.22/46.11 tff(16877,plain,
% 73.22/46.11 (v101(constB112) | (~v102(constB112))),
% 73.22/46.11 inference(unit_resolution,[status(thm)],[16876, 367, 16853, 16873])).
% 73.22/46.11 tff(16878,plain,
% 73.22/46.11 (v101(constB112)),
% 73.22/46.11 inference(unit_resolution,[status(thm)],[16877, 16870])).
% 73.22/46.11 tff(16879,plain,
% 73.22/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 73.22/46.11 inference(rewrite,[status(thm)],[])).
% 73.22/46.11 tff(16880,plain,
% 73.22/46.11 (((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112)) <=> ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 73.22/46.11 inference(rewrite,[status(thm)],[])).
% 73.22/46.11 tff(16881,plain,
% 73.22/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112))))),
% 73.22/46.11 inference(monotonicity,[status(thm)],[16880])).
% 73.22/46.11 tff(16882,plain,
% 73.22/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 73.28/46.11 inference(transitivity,[status(thm)],[16881, 16879])).
% 73.28/46.11 tff(16883,plain,
% 73.28/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))),
% 73.28/46.11 inference(quant_inst,[status(thm)],[])).
% 73.28/46.11 tff(16884,plain,
% 73.28/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112))),
% 73.28/46.11 inference(modus_ponens,[status(thm)],[16883, 16882])).
% 73.28/46.11 tff(16885,plain,
% 73.28/46.11 (v100(constB112) | (~v101(constB112)) | (~v110(constB112))),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16884, 382, 16853])).
% 73.28/46.11 tff(16886,plain,
% 73.28/46.11 (v100(constB112) | (~v110(constB112))),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16885, 16878])).
% 73.28/46.11 tff(16887,plain,
% 73.28/46.11 (v100(constB112)),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16886, 16861])).
% 73.28/46.11 tff(16888,plain,
% 73.28/46.11 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB111)) | (~v130(constB111, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB111)) | (~v130(constB111, bitIndex2)))),
% 73.28/46.11 inference(rewrite,[status(thm)],[])).
% 73.28/46.11 tff(16889,plain,
% 73.28/46.11 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB111)) | (~v130(constB111, bitIndex2)))),
% 73.28/46.11 inference(quant_inst,[status(thm)],[])).
% 73.28/46.11 tff(16890,plain,
% 73.28/46.11 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB111)) | (~v130(constB111, bitIndex2))),
% 73.28/46.11 inference(modus_ponens,[status(thm)],[16889, 16888])).
% 73.28/46.11 tff(16891,plain,
% 73.28/46.11 (~v130(constB111, bitIndex2)),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16890, 730, 16809])).
% 73.28/46.11 tff(16892,assumption,(v26(constB111)), introduced(assumption)).
% 73.28/46.11 tff(16893,plain,
% 73.28/46.11 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB111))),
% 73.28/46.11 inference(quant_inst,[status(thm)],[])).
% 73.28/46.11 tff(16894,plain,
% 73.28/46.11 ($false),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16893, 37, 16892])).
% 73.28/46.11 tff(16895,plain,(~v26(constB111)), inference(lemma,lemma(discharge,[]))).
% 73.28/46.11 tff(16896,plain,
% 73.28/46.11 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2))),
% 73.28/46.11 inference(rewrite,[status(thm)],[])).
% 73.28/46.11 tff(16897,plain,
% 73.28/46.11 ((v26(constB111) | v130(constB111, bitIndex2) | (~v127(constB111, bitIndex2))) <=> ((~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2))),
% 73.28/46.11 inference(rewrite,[status(thm)],[])).
% 73.28/46.11 tff(16898,plain,
% 73.28/46.11 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB111) | v130(constB111, bitIndex2) | (~v127(constB111, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2)))),
% 73.28/46.11 inference(monotonicity,[status(thm)],[16897])).
% 73.28/46.11 tff(16899,plain,
% 73.28/46.11 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB111) | v130(constB111, bitIndex2) | (~v127(constB111, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2))),
% 73.28/46.11 inference(transitivity,[status(thm)],[16898, 16896])).
% 73.28/46.11 tff(16900,plain,
% 73.28/46.11 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB111) | v130(constB111, bitIndex2) | (~v127(constB111, bitIndex2)))),
% 73.28/46.11 inference(quant_inst,[status(thm)],[])).
% 73.28/46.11 tff(16901,plain,
% 73.28/46.11 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB111, bitIndex2)) | v26(constB111) | v130(constB111, bitIndex2)),
% 73.28/46.11 inference(modus_ponens,[status(thm)],[16900, 16899])).
% 73.28/46.11 tff(16902,plain,
% 73.28/46.11 ((~v127(constB111, bitIndex2)) | v130(constB111, bitIndex2)),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16901, 470, 16895])).
% 73.28/46.11 tff(16903,plain,
% 73.28/46.11 (~v127(constB111, bitIndex2)),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16902, 16891])).
% 73.28/46.11 tff(16904,plain,
% 73.28/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2)))),
% 73.28/46.11 inference(rewrite,[status(thm)],[])).
% 73.28/46.11 tff(16905,plain,
% 73.28/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2)))),
% 73.28/46.11 inference(quant_inst,[status(thm)],[])).
% 73.28/46.11 tff(16906,plain,
% 73.28/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2))),
% 73.28/46.11 inference(modus_ponens,[status(thm)],[16905, 16904])).
% 73.28/46.11 tff(16907,plain,
% 73.28/46.11 (v127(constB111, bitIndex2) | (~v129(constB112, bitIndex2))),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16906, 488, 16853])).
% 73.28/46.11 tff(16908,plain,
% 73.28/46.11 (~v129(constB112, bitIndex2)),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16907, 16903])).
% 73.28/46.11 tff(16909,plain,
% 73.28/46.11 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112)))),
% 73.28/46.11 inference(rewrite,[status(thm)],[])).
% 73.28/46.11 tff(16910,plain,
% 73.28/46.11 (((~v90(constB112, bitIndex2)) | (~v100(constB112)) | v129(constB112, bitIndex2)) <=> ((~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112)))),
% 73.28/46.11 inference(rewrite,[status(thm)],[])).
% 73.28/46.11 tff(16911,plain,
% 73.28/46.11 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB112, bitIndex2)) | (~v100(constB112)) | v129(constB112, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112))))),
% 73.28/46.11 inference(monotonicity,[status(thm)],[16910])).
% 73.28/46.11 tff(16912,plain,
% 73.28/46.11 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB112, bitIndex2)) | (~v100(constB112)) | v129(constB112, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112)))),
% 73.28/46.11 inference(transitivity,[status(thm)],[16911, 16909])).
% 73.28/46.11 tff(16913,plain,
% 73.28/46.11 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB112, bitIndex2)) | (~v100(constB112)) | v129(constB112, bitIndex2))),
% 73.28/46.11 inference(quant_inst,[status(thm)],[])).
% 73.28/46.11 tff(16914,plain,
% 73.28/46.11 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2) | (~v100(constB112))),
% 73.28/46.11 inference(modus_ponens,[status(thm)],[16913, 16912])).
% 73.28/46.11 tff(16915,plain,
% 73.28/46.11 ((~v90(constB112, bitIndex2)) | (~v100(constB112))),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16914, 503, 16908])).
% 73.28/46.11 tff(16916,plain,
% 73.28/46.11 (~v90(constB112, bitIndex2)),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16915, 16887])).
% 73.28/46.11 tff(16917,plain,
% 73.28/46.11 ((~v1(constB113)) <=> (~v1(constB113))),
% 73.28/46.11 inference(rewrite,[status(thm)],[])).
% 73.28/46.11 tff(16918,axiom,(~v1(constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_113_1_1')).
% 73.28/46.11 tff(16919,plain,
% 73.28/46.11 (~v1(constB113)),
% 73.28/46.11 inference(modus_ponens,[status(thm)],[16918, 16917])).
% 73.28/46.11 tff(16920,plain,
% 73.28/46.11 (nextState(constB112, constB113) <=> nextState(constB112, constB113)),
% 73.28/46.11 inference(rewrite,[status(thm)],[])).
% 73.28/46.11 tff(16921,axiom,(nextState(constB112, constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_112_1')).
% 73.28/46.11 tff(16922,plain,
% 73.28/46.11 (nextState(constB112, constB113)),
% 73.28/46.11 inference(modus_ponens,[status(thm)],[16921, 16920])).
% 73.28/46.11 tff(16923,plain,
% 73.28/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 73.28/46.11 inference(rewrite,[status(thm)],[])).
% 73.28/46.11 tff(16924,plain,
% 73.28/46.11 (((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113)) <=> (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 73.28/46.11 inference(rewrite,[status(thm)],[])).
% 73.28/46.11 tff(16925,plain,
% 73.28/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113))))),
% 73.28/46.11 inference(monotonicity,[status(thm)],[16924])).
% 73.28/46.11 tff(16926,plain,
% 73.28/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 73.28/46.11 inference(transitivity,[status(thm)],[16925, 16923])).
% 73.28/46.11 tff(16927,plain,
% 73.28/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))),
% 73.28/46.11 inference(quant_inst,[status(thm)],[])).
% 73.28/46.11 tff(16928,plain,
% 73.28/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113))),
% 73.28/46.11 inference(modus_ponens,[status(thm)],[16927, 16926])).
% 73.28/46.11 tff(16929,plain,
% 73.28/46.11 (~v101(constB113)),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16928, 56, 16922, 16919])).
% 73.28/46.11 tff(16930,plain,
% 73.28/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))),
% 73.28/46.11 inference(rewrite,[status(thm)],[])).
% 73.28/46.11 tff(16931,plain,
% 73.28/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))),
% 73.28/46.11 inference(quant_inst,[status(thm)],[])).
% 73.28/46.11 tff(16932,plain,
% 73.28/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113))),
% 73.28/46.11 inference(modus_ponens,[status(thm)],[16931, 16930])).
% 73.28/46.11 tff(16933,plain,
% 73.28/46.11 (v101(constB113) | (~v100(constB113))),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16932, 73, 16922])).
% 73.28/46.11 tff(16934,plain,
% 73.28/46.11 (~v100(constB113)),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16933, 16929])).
% 73.28/46.11 tff(16935,plain,
% 73.28/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2)))),
% 73.28/46.11 inference(rewrite,[status(thm)],[])).
% 73.28/46.11 tff(16936,plain,
% 73.28/46.11 (((~nextState(constB112, constB113)) | v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2))) <=> (v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2)))),
% 73.28/46.11 inference(rewrite,[status(thm)],[])).
% 73.28/46.11 tff(16937,plain,
% 73.28/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2))))),
% 73.28/46.11 inference(monotonicity,[status(thm)],[16936])).
% 73.28/46.11 tff(16938,plain,
% 73.28/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2)))),
% 73.28/46.11 inference(transitivity,[status(thm)],[16937, 16935])).
% 73.28/46.11 tff(16939,plain,
% 73.28/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2)))),
% 73.28/46.11 inference(quant_inst,[status(thm)],[])).
% 73.28/46.11 tff(16940,plain,
% 73.28/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex2))),
% 73.28/46.11 inference(modus_ponens,[status(thm)],[16939, 16938])).
% 73.28/46.11 tff(16941,plain,
% 73.28/46.11 (v90(constB112, bitIndex2) | v100(constB113) | (~v90(constB113, bitIndex2))),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16940, 88, 16922])).
% 73.28/46.11 tff(16942,plain,
% 73.28/46.11 (v90(constB112, bitIndex2) | (~v90(constB113, bitIndex2))),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16941, 16934])).
% 73.28/46.11 tff(16943,plain,
% 73.28/46.11 (~v90(constB113, bitIndex2)),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16942, 16916])).
% 73.28/46.11 tff(16944,plain,
% 73.28/46.11 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB111)) | v130(constB111, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB111)) | v130(constB111, bitIndex1))),
% 73.28/46.11 inference(rewrite,[status(thm)],[])).
% 73.28/46.11 tff(16945,plain,
% 73.28/46.11 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB111)) | v130(constB111, bitIndex1))),
% 73.28/46.11 inference(quant_inst,[status(thm)],[])).
% 73.28/46.11 tff(16946,plain,
% 73.28/46.11 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB111)) | v130(constB111, bitIndex1)),
% 73.28/46.11 inference(modus_ponens,[status(thm)],[16945, 16944])).
% 73.28/46.11 tff(16947,plain,
% 73.28/46.11 (v130(constB111, bitIndex1)),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16946, 810, 16809])).
% 73.28/46.11 tff(16948,plain,
% 73.28/46.11 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB111) | (~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB111) | (~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1))),
% 73.28/46.11 inference(rewrite,[status(thm)],[])).
% 73.28/46.11 tff(16949,plain,
% 73.28/46.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB111) | (~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1))),
% 73.28/46.11 inference(quant_inst,[status(thm)],[])).
% 73.28/46.11 tff(16950,plain,
% 73.28/46.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB111) | (~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1)),
% 73.28/46.11 inference(modus_ponens,[status(thm)],[16949, 16948])).
% 73.28/46.11 tff(16951,plain,
% 73.28/46.11 ((~v130(constB111, bitIndex1)) | v127(constB111, bitIndex1)),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16950, 824, 16895])).
% 73.28/46.11 tff(16952,plain,
% 73.28/46.11 (v127(constB111, bitIndex1)),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16951, 16947])).
% 73.28/46.11 tff(16953,plain,
% 73.28/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB111, constB112)) | (~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB111, constB112)) | (~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1))),
% 73.28/46.11 inference(rewrite,[status(thm)],[])).
% 73.28/46.11 tff(16954,plain,
% 73.28/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB111, constB112)) | (~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1))),
% 73.28/46.11 inference(quant_inst,[status(thm)],[])).
% 73.28/46.11 tff(16955,plain,
% 73.28/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB111, constB112)) | (~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1)),
% 73.28/46.11 inference(modus_ponens,[status(thm)],[16954, 16953])).
% 73.28/46.11 tff(16956,plain,
% 73.28/46.11 ((~v127(constB111, bitIndex1)) | v129(constB112, bitIndex1)),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16955, 839, 16853])).
% 73.28/46.11 tff(16957,plain,
% 73.28/46.11 (v129(constB112, bitIndex1)),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16956, 16952])).
% 73.28/46.11 tff(16958,plain,
% 73.28/46.11 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112)))),
% 73.28/46.11 inference(rewrite,[status(thm)],[])).
% 73.28/46.11 tff(16959,plain,
% 73.28/46.11 ((v90(constB112, bitIndex1) | (~v100(constB112)) | (~v129(constB112, bitIndex1))) <=> (v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112)))),
% 73.28/46.11 inference(rewrite,[status(thm)],[])).
% 73.28/46.11 tff(16960,plain,
% 73.28/46.11 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~v100(constB112)) | (~v129(constB112, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112))))),
% 73.28/46.11 inference(monotonicity,[status(thm)],[16959])).
% 73.28/46.11 tff(16961,plain,
% 73.28/46.11 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~v100(constB112)) | (~v129(constB112, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112)))),
% 73.28/46.11 inference(transitivity,[status(thm)],[16960, 16958])).
% 73.28/46.11 tff(16962,plain,
% 73.28/46.11 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB112, bitIndex1) | (~v100(constB112)) | (~v129(constB112, bitIndex1)))),
% 73.28/46.11 inference(quant_inst,[status(thm)],[])).
% 73.28/46.11 tff(16963,plain,
% 73.28/46.11 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1)) | (~v100(constB112))),
% 73.28/46.11 inference(modus_ponens,[status(thm)],[16962, 16961])).
% 73.28/46.11 tff(16964,plain,
% 73.28/46.11 (v90(constB112, bitIndex1) | (~v100(constB112))),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16963, 854, 16957])).
% 73.28/46.11 tff(16965,plain,
% 73.28/46.11 (v90(constB112, bitIndex1)),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16964, 16887])).
% 73.28/46.11 tff(16966,plain,
% 73.28/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex1))),
% 73.28/46.11 inference(rewrite,[status(thm)],[])).
% 73.28/46.11 tff(16967,plain,
% 73.28/46.11 (((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex1)) | v100(constB113) | v90(constB113, bitIndex1)) <=> ((~v90(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex1))),
% 73.28/46.11 inference(rewrite,[status(thm)],[])).
% 73.28/46.11 tff(16968,plain,
% 73.28/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex1)) | v100(constB113) | v90(constB113, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex1)))),
% 73.28/46.11 inference(monotonicity,[status(thm)],[16967])).
% 73.28/46.11 tff(16969,plain,
% 73.28/46.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex1)) | v100(constB113) | v90(constB113, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex1))),
% 73.28/46.11 inference(transitivity,[status(thm)],[16968, 16966])).
% 73.28/46.11 tff(16970,plain,
% 73.28/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex1)) | v100(constB113) | v90(constB113, bitIndex1))),
% 73.28/46.11 inference(quant_inst,[status(thm)],[])).
% 73.28/46.11 tff(16971,plain,
% 73.28/46.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex1)),
% 73.28/46.11 inference(modus_ponens,[status(thm)],[16970, 16969])).
% 73.28/46.11 tff(16972,plain,
% 73.28/46.11 ((~v90(constB112, bitIndex1)) | v100(constB113) | v90(constB113, bitIndex1)),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16971, 872, 16922])).
% 73.28/46.11 tff(16973,plain,
% 73.28/46.11 ((~v90(constB112, bitIndex1)) | v90(constB113, bitIndex1)),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16972, 16934])).
% 73.28/46.11 tff(16974,plain,
% 73.28/46.11 (v90(constB113, bitIndex1)),
% 73.28/46.11 inference(unit_resolution,[status(thm)],[16973, 16965])).
% 73.28/46.11 tff(16975,plain,
% 73.28/46.11 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB111)) | (~v130(constB111, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB111)) | (~v130(constB111, bitIndex0)))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(16976,plain,
% 73.28/46.12 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB111)) | (~v130(constB111, bitIndex0)))),
% 73.28/46.12 inference(quant_inst,[status(thm)],[])).
% 73.28/46.12 tff(16977,plain,
% 73.28/46.12 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB111)) | (~v130(constB111, bitIndex0))),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[16976, 16975])).
% 73.28/46.12 tff(16978,plain,
% 73.28/46.12 (~v130(constB111, bitIndex0)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[16977, 891, 16809])).
% 73.28/46.12 tff(16979,plain,
% 73.28/46.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(16980,plain,
% 73.28/46.12 ((v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0))) <=> ((~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(16981,plain,
% 73.28/46.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0)))),
% 73.28/46.12 inference(monotonicity,[status(thm)],[16980])).
% 73.28/46.12 tff(16982,plain,
% 73.28/46.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))),
% 73.28/46.12 inference(transitivity,[status(thm)],[16981, 16979])).
% 73.28/46.12 tff(16983,plain,
% 73.28/46.12 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0)))),
% 73.28/46.12 inference(quant_inst,[status(thm)],[])).
% 73.28/46.12 tff(16984,plain,
% 73.28/46.12 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0)),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[16983, 16982])).
% 73.28/46.12 tff(16985,plain,
% 73.28/46.12 ((~v127(constB111, bitIndex0)) | v130(constB111, bitIndex0)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[16984, 905, 16895])).
% 73.28/46.12 tff(16986,plain,
% 73.28/46.12 (~v127(constB111, bitIndex0)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[16985, 16978])).
% 73.28/46.12 tff(16987,plain,
% 73.28/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0)))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(16988,plain,
% 73.28/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0)))),
% 73.28/46.12 inference(quant_inst,[status(thm)],[])).
% 73.28/46.12 tff(16989,plain,
% 73.28/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0))),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[16988, 16987])).
% 73.28/46.12 tff(16990,plain,
% 73.28/46.12 (v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0))),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[16989, 923, 16853])).
% 73.28/46.12 tff(16991,plain,
% 73.28/46.12 (~v129(constB112, bitIndex0)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[16990, 16986])).
% 73.28/46.12 tff(16992,plain,
% 73.28/46.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(16993,plain,
% 73.28/46.12 (((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0)) <=> ((~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(16994,plain,
% 73.28/46.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112))))),
% 73.28/46.12 inference(monotonicity,[status(thm)],[16993])).
% 73.28/46.12 tff(16995,plain,
% 73.28/46.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))),
% 73.28/46.12 inference(transitivity,[status(thm)],[16994, 16992])).
% 73.28/46.12 tff(16996,plain,
% 73.28/46.12 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0))),
% 73.28/46.12 inference(quant_inst,[status(thm)],[])).
% 73.28/46.12 tff(16997,plain,
% 73.28/46.12 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112))),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[16996, 16995])).
% 73.28/46.12 tff(16998,plain,
% 73.28/46.12 ((~v90(constB112, bitIndex0)) | (~v100(constB112))),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[16997, 938, 16991])).
% 73.28/46.12 tff(16999,plain,
% 73.28/46.12 (~v90(constB112, bitIndex0)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[16998, 16887])).
% 73.28/46.12 tff(17000,plain,
% 73.28/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17001,plain,
% 73.28/46.12 (((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0))) <=> (v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17002,plain,
% 73.28/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0))))),
% 73.28/46.12 inference(monotonicity,[status(thm)],[17001])).
% 73.28/46.12 tff(17003,plain,
% 73.28/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 73.28/46.12 inference(transitivity,[status(thm)],[17002, 17000])).
% 73.28/46.12 tff(17004,plain,
% 73.28/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 73.28/46.12 inference(quant_inst,[status(thm)],[])).
% 73.28/46.12 tff(17005,plain,
% 73.28/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0))),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[17004, 17003])).
% 73.28/46.12 tff(17006,plain,
% 73.28/46.12 (v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0))),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17005, 130, 16922])).
% 73.28/46.12 tff(17007,plain,
% 73.28/46.12 (v90(constB112, bitIndex0) | (~v90(constB113, bitIndex0))),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17006, 16934])).
% 73.28/46.12 tff(17008,plain,
% 73.28/46.12 (~v90(constB113, bitIndex0)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17007, 16999])).
% 73.28/46.12 tff(17009,assumption,(~v121(constB113)), introduced(assumption)).
% 73.28/46.12 tff(17010,plain,
% 73.28/46.12 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex2) | v121(constB113))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex2) | v121(constB113))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17011,plain,
% 73.28/46.12 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex2) | v121(constB113))),
% 73.28/46.12 inference(quant_inst,[status(thm)],[])).
% 73.28/46.12 tff(17012,plain,
% 73.28/46.12 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex2) | v121(constB113)),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[17011, 17010])).
% 73.28/46.12 tff(17013,plain,
% 73.28/46.12 (v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)) | v90(constB113, bitIndex2)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17012, 965, 17009])).
% 73.28/46.12 tff(17014,plain,
% 73.28/46.12 ($false),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17013, 17008, 16974, 16943])).
% 73.28/46.12 tff(17015,plain,((~v120(constB111)) | v121(constB113)), inference(lemma,lemma(discharge,[]))).
% 73.28/46.12 tff(17016,plain,
% 73.28/46.12 (v121(constB113)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17015, 16808])).
% 73.28/46.12 tff(17017,assumption,(v121(constB113)), introduced(assumption)).
% 73.28/46.12 tff(17018,plain,
% 73.28/46.12 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB113) | (~v121(constB113)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB113) | (~v121(constB113)))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17019,plain,
% 73.28/46.12 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB113) | (~v121(constB113)))),
% 73.28/46.12 inference(quant_inst,[status(thm)],[])).
% 73.28/46.12 tff(17020,plain,
% 73.28/46.12 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB113) | (~v121(constB113))),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[17019, 17018])).
% 73.28/46.12 tff(17021,plain,
% 73.28/46.12 (v117(constB113)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17020, 976, 17017])).
% 73.28/46.12 tff(17022,plain,
% 73.28/46.12 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB113) | (~v117(constB113)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB113) | (~v117(constB113)))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17023,plain,
% 73.28/46.12 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB113) | (~v117(constB113)))),
% 73.28/46.12 inference(quant_inst,[status(thm)],[])).
% 73.28/46.12 tff(17024,plain,
% 73.28/46.12 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB113) | (~v117(constB113))),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[17023, 17022])).
% 73.28/46.12 tff(17025,plain,
% 73.28/46.12 (v116(constB113)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17024, 254, 17021])).
% 73.28/46.12 tff(17026,plain,
% 73.28/46.12 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB113) | (~v116(constB113)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB113) | (~v116(constB113)))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17027,plain,
% 73.28/46.12 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB113) | (~v116(constB113)))),
% 73.28/46.12 inference(quant_inst,[status(thm)],[])).
% 73.28/46.12 tff(17028,plain,
% 73.28/46.12 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB113) | (~v116(constB113))),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[17027, 17026])).
% 73.28/46.12 tff(17029,plain,
% 73.28/46.12 (v115(constB113)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17028, 265, 17025])).
% 73.28/46.12 tff(17030,plain,
% 73.28/46.12 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB113) | (~v115(constB113)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB113) | (~v115(constB113)))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17031,plain,
% 73.28/46.12 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB113) | (~v115(constB113)))),
% 73.28/46.12 inference(quant_inst,[status(thm)],[])).
% 73.28/46.12 tff(17032,plain,
% 73.28/46.12 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB113) | (~v115(constB113))),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[17031, 17030])).
% 73.28/46.12 tff(17033,plain,
% 73.28/46.12 (v114(constB113)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17032, 276, 17029])).
% 73.28/46.12 tff(17034,plain,
% 73.28/46.12 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB113) | (~v114(constB113)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB113) | (~v114(constB113)))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17035,plain,
% 73.28/46.12 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB113) | (~v114(constB113)))),
% 73.28/46.12 inference(quant_inst,[status(thm)],[])).
% 73.28/46.12 tff(17036,plain,
% 73.28/46.12 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB113) | (~v114(constB113))),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[17035, 17034])).
% 73.28/46.12 tff(17037,plain,
% 73.28/46.12 (v113(constB113)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17036, 287, 17033])).
% 73.28/46.12 tff(17038,assumption,(v26(constB113)), introduced(assumption)).
% 73.28/46.12 tff(17039,plain,
% 73.28/46.12 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB113))),
% 73.28/46.12 inference(quant_inst,[status(thm)],[])).
% 73.28/46.12 tff(17040,plain,
% 73.28/46.12 ($false),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17039, 37, 17038])).
% 73.28/46.12 tff(17041,plain,(~v26(constB113)), inference(lemma,lemma(discharge,[]))).
% 73.28/46.12 tff(17042,plain,
% 73.28/46.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | (~v113(constB113)) | v112(constB113))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17043,plain,
% 73.28/46.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))),
% 73.28/46.12 inference(quant_inst,[status(thm)],[])).
% 73.28/46.12 tff(17044,plain,
% 73.28/46.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | (~v113(constB113)) | v112(constB113)),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[17043, 17042])).
% 73.28/46.12 tff(17045,plain,
% 73.28/46.12 ((~v113(constB113)) | v112(constB113)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17044, 301, 17041])).
% 73.28/46.12 tff(17046,plain,
% 73.28/46.12 (v112(constB113)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17045, 17037])).
% 73.28/46.12 tff(17047,plain,
% 73.28/46.12 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB113) | (~v112(constB113)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB113) | (~v112(constB113)))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17048,plain,
% 73.28/46.12 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB113) | (~v112(constB113)))),
% 73.28/46.12 inference(quant_inst,[status(thm)],[])).
% 73.28/46.12 tff(17049,plain,
% 73.28/46.12 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB113) | (~v112(constB113))),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[17048, 17047])).
% 73.28/46.12 tff(17050,plain,
% 73.28/46.12 (v108(constB113)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17049, 210, 17046])).
% 73.28/46.12 tff(17051,plain,
% 73.28/46.12 (nextState(constB113, constB114) <=> nextState(constB113, constB114)),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17052,axiom,(nextState(constB113, constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_113_1')).
% 73.28/46.12 tff(17053,plain,
% 73.28/46.12 (nextState(constB113, constB114)),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[17052, 17051])).
% 73.28/46.12 tff(17054,plain,
% 73.28/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17055,plain,
% 73.28/46.12 (((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114)) <=> ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17056,plain,
% 73.28/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113))))),
% 73.28/46.12 inference(monotonicity,[status(thm)],[17055])).
% 73.28/46.12 tff(17057,plain,
% 73.28/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 73.28/46.12 inference(transitivity,[status(thm)],[17056, 17054])).
% 73.28/46.12 tff(17058,plain,
% 73.28/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))),
% 73.28/46.12 inference(quant_inst,[status(thm)],[])).
% 73.28/46.12 tff(17059,plain,
% 73.28/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113))),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[17058, 17057])).
% 73.28/46.12 tff(17060,plain,
% 73.28/46.12 (v110(constB114) | (~v108(constB113))),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17059, 317, 17053])).
% 73.28/46.12 tff(17061,plain,
% 73.28/46.12 (v110(constB114)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17060, 17050])).
% 73.28/46.12 tff(17062,plain,
% 73.28/46.12 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17063,plain,
% 73.28/46.12 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))),
% 73.28/46.12 inference(quant_inst,[status(thm)],[])).
% 73.28/46.12 tff(17064,plain,
% 73.28/46.12 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114))),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[17063, 17062])).
% 73.28/46.12 tff(17065,plain,
% 73.28/46.12 (~v104(constB114)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17064, 335, 17053, 16919])).
% 73.28/46.12 tff(17066,plain,
% 73.28/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17067,plain,
% 73.28/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))),
% 73.28/46.12 inference(quant_inst,[status(thm)],[])).
% 73.28/46.12 tff(17068,plain,
% 73.28/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v102(constB114) | v104(constB114)),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[17067, 17066])).
% 73.28/46.12 tff(17069,plain,
% 73.28/46.12 (v102(constB114) | v104(constB114)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17068, 349, 17053])).
% 73.28/46.12 tff(17070,plain,
% 73.28/46.12 (v102(constB114)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17069, 17065])).
% 73.28/46.12 tff(17071,plain,
% 73.28/46.12 (v1(constB114) <=> v1(constB114)),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17072,axiom,(v1(constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_114_1')).
% 73.28/46.12 tff(17073,plain,
% 73.28/46.12 (v1(constB114)),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[17072, 17071])).
% 73.28/46.12 tff(17074,plain,
% 73.28/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17075,plain,
% 73.28/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))),
% 73.28/46.12 inference(quant_inst,[status(thm)],[])).
% 73.28/46.12 tff(17076,plain,
% 73.28/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114))),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[17075, 17074])).
% 73.28/46.12 tff(17077,plain,
% 73.28/46.12 (v101(constB114) | (~v102(constB114))),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17076, 367, 17053, 17073])).
% 73.28/46.12 tff(17078,plain,
% 73.28/46.12 (v101(constB114)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17077, 17070])).
% 73.28/46.12 tff(17079,plain,
% 73.28/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17080,plain,
% 73.28/46.12 (((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114)) <=> ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17081,plain,
% 73.28/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114))))),
% 73.28/46.12 inference(monotonicity,[status(thm)],[17080])).
% 73.28/46.12 tff(17082,plain,
% 73.28/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 73.28/46.12 inference(transitivity,[status(thm)],[17081, 17079])).
% 73.28/46.12 tff(17083,plain,
% 73.28/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))),
% 73.28/46.12 inference(quant_inst,[status(thm)],[])).
% 73.28/46.12 tff(17084,plain,
% 73.28/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114))),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[17083, 17082])).
% 73.28/46.12 tff(17085,plain,
% 73.28/46.12 (v100(constB114) | (~v101(constB114)) | (~v110(constB114))),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17084, 382, 17053])).
% 73.28/46.12 tff(17086,plain,
% 73.28/46.12 (v100(constB114) | (~v110(constB114))),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17085, 17078])).
% 73.28/46.12 tff(17087,plain,
% 73.28/46.12 (v100(constB114)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17086, 17061])).
% 73.28/46.12 tff(17088,plain,
% 73.28/46.12 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB113)) | (~v130(constB113, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB113)) | (~v130(constB113, bitIndex2)))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17089,plain,
% 73.28/46.12 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB113)) | (~v130(constB113, bitIndex2)))),
% 73.28/46.12 inference(quant_inst,[status(thm)],[])).
% 73.28/46.12 tff(17090,plain,
% 73.28/46.12 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB113)) | (~v130(constB113, bitIndex2))),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[17089, 17088])).
% 73.28/46.12 tff(17091,plain,
% 73.28/46.12 (~v130(constB113, bitIndex2)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17090, 1059, 17017])).
% 73.28/46.12 tff(17092,plain,
% 73.28/46.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17093,plain,
% 73.28/46.12 ((v26(constB113) | v130(constB113, bitIndex2) | (~v127(constB113, bitIndex2))) <=> ((~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17094,plain,
% 73.28/46.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB113) | v130(constB113, bitIndex2) | (~v127(constB113, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2)))),
% 73.28/46.12 inference(monotonicity,[status(thm)],[17093])).
% 73.28/46.12 tff(17095,plain,
% 73.28/46.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB113) | v130(constB113, bitIndex2) | (~v127(constB113, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2))),
% 73.28/46.12 inference(transitivity,[status(thm)],[17094, 17092])).
% 73.28/46.12 tff(17096,plain,
% 73.28/46.12 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB113) | v130(constB113, bitIndex2) | (~v127(constB113, bitIndex2)))),
% 73.28/46.12 inference(quant_inst,[status(thm)],[])).
% 73.28/46.12 tff(17097,plain,
% 73.28/46.12 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB113, bitIndex2)) | v26(constB113) | v130(constB113, bitIndex2)),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[17096, 17095])).
% 73.28/46.12 tff(17098,plain,
% 73.28/46.12 ((~v127(constB113, bitIndex2)) | v130(constB113, bitIndex2)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17097, 470, 17041])).
% 73.28/46.12 tff(17099,plain,
% 73.28/46.12 (~v127(constB113, bitIndex2)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17098, 17091])).
% 73.28/46.12 tff(17100,plain,
% 73.28/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB113, constB114)) | v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB113, constB114)) | v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2)))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17101,plain,
% 73.28/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB113, constB114)) | v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2)))),
% 73.28/46.12 inference(quant_inst,[status(thm)],[])).
% 73.28/46.12 tff(17102,plain,
% 73.28/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB113, constB114)) | v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2))),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[17101, 17100])).
% 73.28/46.12 tff(17103,plain,
% 73.28/46.12 (v127(constB113, bitIndex2) | (~v129(constB114, bitIndex2))),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17102, 488, 17053])).
% 73.28/46.12 tff(17104,plain,
% 73.28/46.12 (~v129(constB114, bitIndex2)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17103, 17099])).
% 73.28/46.12 tff(17105,plain,
% 73.28/46.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114)))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17106,plain,
% 73.28/46.12 (((~v90(constB114, bitIndex2)) | (~v100(constB114)) | v129(constB114, bitIndex2)) <=> ((~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114)))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17107,plain,
% 73.28/46.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB114, bitIndex2)) | (~v100(constB114)) | v129(constB114, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114))))),
% 73.28/46.12 inference(monotonicity,[status(thm)],[17106])).
% 73.28/46.12 tff(17108,plain,
% 73.28/46.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB114, bitIndex2)) | (~v100(constB114)) | v129(constB114, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114)))),
% 73.28/46.12 inference(transitivity,[status(thm)],[17107, 17105])).
% 73.28/46.12 tff(17109,plain,
% 73.28/46.12 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB114, bitIndex2)) | (~v100(constB114)) | v129(constB114, bitIndex2))),
% 73.28/46.12 inference(quant_inst,[status(thm)],[])).
% 73.28/46.12 tff(17110,plain,
% 73.28/46.12 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2) | (~v100(constB114))),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[17109, 17108])).
% 73.28/46.12 tff(17111,plain,
% 73.28/46.12 ((~v90(constB114, bitIndex2)) | (~v100(constB114))),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17110, 503, 17104])).
% 73.28/46.12 tff(17112,plain,
% 73.28/46.12 (~v90(constB114, bitIndex2)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17111, 17087])).
% 73.28/46.12 tff(17113,plain,
% 73.28/46.12 ((~v1(constB115)) <=> (~v1(constB115))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17114,axiom,(~v1(constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_115_1_1')).
% 73.28/46.12 tff(17115,plain,
% 73.28/46.12 (~v1(constB115)),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[17114, 17113])).
% 73.28/46.12 tff(17116,plain,
% 73.28/46.12 (nextState(constB114, constB115) <=> nextState(constB114, constB115)),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17117,axiom,(nextState(constB114, constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_114_1')).
% 73.28/46.12 tff(17118,plain,
% 73.28/46.12 (nextState(constB114, constB115)),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[17117, 17116])).
% 73.28/46.12 tff(17119,plain,
% 73.28/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17120,plain,
% 73.28/46.12 (((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115)) <=> (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17121,plain,
% 73.28/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115))))),
% 73.28/46.12 inference(monotonicity,[status(thm)],[17120])).
% 73.28/46.12 tff(17122,plain,
% 73.28/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 73.28/46.12 inference(transitivity,[status(thm)],[17121, 17119])).
% 73.28/46.12 tff(17123,plain,
% 73.28/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))),
% 73.28/46.12 inference(quant_inst,[status(thm)],[])).
% 73.28/46.12 tff(17124,plain,
% 73.28/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115))),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[17123, 17122])).
% 73.28/46.12 tff(17125,plain,
% 73.28/46.12 (~v101(constB115)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17124, 56, 17118, 17115])).
% 73.28/46.12 tff(17126,plain,
% 73.28/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17127,plain,
% 73.28/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))),
% 73.28/46.12 inference(quant_inst,[status(thm)],[])).
% 73.28/46.12 tff(17128,plain,
% 73.28/46.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115))),
% 73.28/46.12 inference(modus_ponens,[status(thm)],[17127, 17126])).
% 73.28/46.12 tff(17129,plain,
% 73.28/46.12 (v101(constB115) | (~v100(constB115))),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17128, 73, 17118])).
% 73.28/46.12 tff(17130,plain,
% 73.28/46.12 (~v100(constB115)),
% 73.28/46.12 inference(unit_resolution,[status(thm)],[17129, 17125])).
% 73.28/46.12 tff(17131,plain,
% 73.28/46.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2)))),
% 73.28/46.12 inference(rewrite,[status(thm)],[])).
% 73.28/46.12 tff(17132,plain,
% 73.28/46.12 (((~nextState(constB114, constB115)) | v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2))) <=> (v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2)))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17133,plain,
% 73.28/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2))))),
% 73.28/46.13 inference(monotonicity,[status(thm)],[17132])).
% 73.28/46.13 tff(17134,plain,
% 73.28/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2)))),
% 73.28/46.13 inference(transitivity,[status(thm)],[17133, 17131])).
% 73.28/46.13 tff(17135,plain,
% 73.28/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB114, constB115)) | v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2)))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17136,plain,
% 73.28/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex2))),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17135, 17134])).
% 73.28/46.13 tff(17137,plain,
% 73.28/46.13 (v90(constB114, bitIndex2) | v100(constB115) | (~v90(constB115, bitIndex2))),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17136, 88, 17118])).
% 73.28/46.13 tff(17138,plain,
% 73.28/46.13 (v90(constB114, bitIndex2) | (~v90(constB115, bitIndex2))),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17137, 17130])).
% 73.28/46.13 tff(17139,plain,
% 73.28/46.13 (~v90(constB115, bitIndex2)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17138, 17112])).
% 73.28/46.13 tff(17140,plain,
% 73.28/46.13 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB113)) | v130(constB113, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB113)) | v130(constB113, bitIndex0))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17141,plain,
% 73.28/46.13 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB113)) | v130(constB113, bitIndex0))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17142,plain,
% 73.28/46.13 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB113)) | v130(constB113, bitIndex0)),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17141, 17140])).
% 73.28/46.13 tff(17143,plain,
% 73.28/46.13 (v130(constB113, bitIndex0)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17142, 1162, 17017])).
% 73.28/46.13 tff(17144,plain,
% 73.28/46.13 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB113) | (~v130(constB113, bitIndex0)) | v127(constB113, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB113) | (~v130(constB113, bitIndex0)) | v127(constB113, bitIndex0))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17145,plain,
% 73.28/46.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB113) | (~v130(constB113, bitIndex0)) | v127(constB113, bitIndex0))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17146,plain,
% 73.28/46.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB113) | (~v130(constB113, bitIndex0)) | v127(constB113, bitIndex0)),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17145, 17144])).
% 73.28/46.13 tff(17147,plain,
% 73.28/46.13 ((~v130(constB113, bitIndex0)) | v127(constB113, bitIndex0)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17146, 179, 17041])).
% 73.28/46.13 tff(17148,plain,
% 73.28/46.13 (v127(constB113, bitIndex0)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17147, 17143])).
% 73.28/46.13 tff(17149,plain,
% 73.28/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex0)) | v129(constB114, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex0)) | v129(constB114, bitIndex0))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17150,plain,
% 73.28/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex0)) | v129(constB114, bitIndex0))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17151,plain,
% 73.28/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex0)) | v129(constB114, bitIndex0)),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17150, 17149])).
% 73.28/46.13 tff(17152,plain,
% 73.28/46.13 ((~v127(constB113, bitIndex0)) | v129(constB114, bitIndex0)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17151, 197, 17053])).
% 73.28/46.13 tff(17153,plain,
% 73.28/46.13 (v129(constB114, bitIndex0)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17152, 17148])).
% 73.28/46.13 tff(17154,plain,
% 73.28/46.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0)) | (~v100(constB114)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0)) | (~v100(constB114)))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17155,plain,
% 73.28/46.13 ((v90(constB114, bitIndex0) | (~v100(constB114)) | (~v129(constB114, bitIndex0))) <=> (v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0)) | (~v100(constB114)))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17156,plain,
% 73.28/46.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~v100(constB114)) | (~v129(constB114, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0)) | (~v100(constB114))))),
% 73.28/46.13 inference(monotonicity,[status(thm)],[17155])).
% 73.28/46.13 tff(17157,plain,
% 73.28/46.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~v100(constB114)) | (~v129(constB114, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0)) | (~v100(constB114)))),
% 73.28/46.13 inference(transitivity,[status(thm)],[17156, 17154])).
% 73.28/46.13 tff(17158,plain,
% 73.28/46.13 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB114, bitIndex0) | (~v100(constB114)) | (~v129(constB114, bitIndex0)))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17159,plain,
% 73.28/46.13 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0)) | (~v100(constB114))),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17158, 17157])).
% 73.28/46.13 tff(17160,plain,
% 73.28/46.13 (v90(constB114, bitIndex0) | (~v100(constB114))),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17159, 401, 17153])).
% 73.28/46.13 tff(17161,plain,
% 73.28/46.13 (v90(constB114, bitIndex0)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17160, 17087])).
% 73.28/46.13 tff(17162,plain,
% 73.28/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex0))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17163,plain,
% 73.28/46.13 (((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex0)) | v100(constB115) | v90(constB115, bitIndex0)) <=> ((~v90(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex0))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17164,plain,
% 73.28/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex0)) | v100(constB115) | v90(constB115, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex0)))),
% 73.28/46.13 inference(monotonicity,[status(thm)],[17163])).
% 73.28/46.13 tff(17165,plain,
% 73.28/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex0)) | v100(constB115) | v90(constB115, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex0))),
% 73.28/46.13 inference(transitivity,[status(thm)],[17164, 17162])).
% 73.28/46.13 tff(17166,plain,
% 73.28/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex0)) | v100(constB115) | v90(constB115, bitIndex0))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17167,plain,
% 73.28/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex0)),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17166, 17165])).
% 73.28/46.13 tff(17168,plain,
% 73.28/46.13 ((~v90(constB114, bitIndex0)) | v100(constB115) | v90(constB115, bitIndex0)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17167, 437, 17118])).
% 73.28/46.13 tff(17169,plain,
% 73.28/46.13 ((~v90(constB114, bitIndex0)) | v90(constB115, bitIndex0)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17168, 17130])).
% 73.28/46.13 tff(17170,plain,
% 73.28/46.13 (v90(constB115, bitIndex0)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17169, 17161])).
% 73.28/46.13 tff(17171,plain,
% 73.28/46.13 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB113)) | v130(constB113, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB113)) | v130(constB113, bitIndex1))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17172,plain,
% 73.28/46.13 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB113)) | v130(constB113, bitIndex1))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17173,plain,
% 73.28/46.13 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB113)) | v130(constB113, bitIndex1)),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17172, 17171])).
% 73.28/46.13 tff(17174,plain,
% 73.28/46.13 (v130(constB113, bitIndex1)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17173, 1121, 17017])).
% 73.28/46.13 tff(17175,plain,
% 73.28/46.13 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17176,plain,
% 73.28/46.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17177,plain,
% 73.28/46.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1)),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17176, 17175])).
% 73.28/46.13 tff(17178,plain,
% 73.28/46.13 ((~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17177, 824, 17041])).
% 73.28/46.13 tff(17179,plain,
% 73.28/46.13 (v127(constB113, bitIndex1)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17178, 17174])).
% 73.28/46.13 tff(17180,plain,
% 73.28/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17181,plain,
% 73.28/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17182,plain,
% 73.28/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1)),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17181, 17180])).
% 73.28/46.13 tff(17183,plain,
% 73.28/46.13 ((~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17182, 839, 17053])).
% 73.28/46.13 tff(17184,plain,
% 73.28/46.13 (v129(constB114, bitIndex1)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17183, 17179])).
% 73.28/46.13 tff(17185,plain,
% 73.28/46.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17186,plain,
% 73.28/46.13 ((v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1))) <=> (v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17187,plain,
% 73.28/46.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114))))),
% 73.28/46.13 inference(monotonicity,[status(thm)],[17186])).
% 73.28/46.13 tff(17188,plain,
% 73.28/46.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))),
% 73.28/46.13 inference(transitivity,[status(thm)],[17187, 17185])).
% 73.28/46.13 tff(17189,plain,
% 73.28/46.13 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1)))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17190,plain,
% 73.28/46.13 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114))),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17189, 17188])).
% 73.28/46.13 tff(17191,plain,
% 73.28/46.13 (v90(constB114, bitIndex1) | (~v100(constB114))),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17190, 854, 17184])).
% 73.28/46.13 tff(17192,plain,
% 73.28/46.13 (v90(constB114, bitIndex1)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17191, 17087])).
% 73.28/46.13 tff(17193,plain,
% 73.28/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17194,plain,
% 73.28/46.13 (((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1)) <=> ((~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17195,plain,
% 73.28/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1)))),
% 73.28/46.13 inference(monotonicity,[status(thm)],[17194])).
% 73.28/46.13 tff(17196,plain,
% 73.28/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))),
% 73.28/46.13 inference(transitivity,[status(thm)],[17195, 17193])).
% 73.28/46.13 tff(17197,plain,
% 73.28/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17198,plain,
% 73.28/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1)),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17197, 17196])).
% 73.28/46.13 tff(17199,plain,
% 73.28/46.13 ((~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17198, 872, 17118])).
% 73.28/46.13 tff(17200,plain,
% 73.28/46.13 ((~v90(constB114, bitIndex1)) | v90(constB115, bitIndex1)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17199, 17130])).
% 73.28/46.13 tff(17201,plain,
% 73.28/46.13 (v90(constB115, bitIndex1)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17200, 17192])).
% 73.28/46.13 tff(17202,assumption,(~v122(constB115)), introduced(assumption)).
% 73.28/46.13 tff(17203,plain,
% 73.28/46.13 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2) | v122(constB115))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2) | v122(constB115))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17204,plain,
% 73.28/46.13 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2) | v122(constB115))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17205,plain,
% 73.28/46.13 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2) | v122(constB115)),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17204, 17203])).
% 73.28/46.13 tff(17206,plain,
% 73.28/46.13 ((~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)) | v90(constB115, bitIndex2)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17205, 1203, 17202])).
% 73.28/46.13 tff(17207,plain,
% 73.28/46.13 ($false),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17206, 17201, 17170, 17139])).
% 73.28/46.13 tff(17208,plain,((~v121(constB113)) | v122(constB115)), inference(lemma,lemma(discharge,[]))).
% 73.28/46.13 tff(17209,plain,
% 73.28/46.13 (v122(constB115)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17208, 17016])).
% 73.28/46.13 tff(17210,assumption,(v122(constB115)), introduced(assumption)).
% 73.28/46.13 tff(17211,plain,
% 73.28/46.13 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB115) | (~v122(constB115)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB115) | (~v122(constB115)))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17212,plain,
% 73.28/46.13 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB115) | (~v122(constB115)))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17213,plain,
% 73.28/46.13 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB115) | (~v122(constB115))),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17212, 17211])).
% 73.28/46.13 tff(17214,plain,
% 73.28/46.13 (v116(constB115)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17213, 1214, 17210])).
% 73.28/46.13 tff(17215,plain,
% 73.28/46.13 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB115) | (~v116(constB115)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB115) | (~v116(constB115)))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17216,plain,
% 73.28/46.13 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB115) | (~v116(constB115)))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17217,plain,
% 73.28/46.13 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB115) | (~v116(constB115))),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17216, 17215])).
% 73.28/46.13 tff(17218,plain,
% 73.28/46.13 (v115(constB115)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17217, 265, 17214])).
% 73.28/46.13 tff(17219,plain,
% 73.28/46.13 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB115) | (~v115(constB115)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB115) | (~v115(constB115)))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17220,plain,
% 73.28/46.13 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB115) | (~v115(constB115)))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17221,plain,
% 73.28/46.13 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB115) | (~v115(constB115))),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17220, 17219])).
% 73.28/46.13 tff(17222,plain,
% 73.28/46.13 (v114(constB115)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17221, 276, 17218])).
% 73.28/46.13 tff(17223,plain,
% 73.28/46.13 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB115) | (~v114(constB115)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB115) | (~v114(constB115)))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17224,plain,
% 73.28/46.13 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB115) | (~v114(constB115)))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17225,plain,
% 73.28/46.13 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB115) | (~v114(constB115))),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17224, 17223])).
% 73.28/46.13 tff(17226,plain,
% 73.28/46.13 (v113(constB115)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17225, 287, 17222])).
% 73.28/46.13 tff(17227,assumption,(v26(constB115)), introduced(assumption)).
% 73.28/46.13 tff(17228,plain,
% 73.28/46.13 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB115))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17229,plain,
% 73.28/46.13 ($false),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17228, 37, 17227])).
% 73.28/46.13 tff(17230,plain,(~v26(constB115)), inference(lemma,lemma(discharge,[]))).
% 73.28/46.13 tff(17231,plain,
% 73.28/46.13 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | v112(constB115) | (~v113(constB115)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | v112(constB115) | (~v113(constB115)))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17232,plain,
% 73.28/46.13 ((v26(constB115) | (~v113(constB115)) | v112(constB115)) <=> (v26(constB115) | v112(constB115) | (~v113(constB115)))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17233,plain,
% 73.28/46.13 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | v112(constB115) | (~v113(constB115))))),
% 73.28/46.13 inference(monotonicity,[status(thm)],[17232])).
% 73.28/46.13 tff(17234,plain,
% 73.28/46.13 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | v112(constB115) | (~v113(constB115)))),
% 73.28/46.13 inference(transitivity,[status(thm)],[17233, 17231])).
% 73.28/46.13 tff(17235,plain,
% 73.28/46.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17236,plain,
% 73.28/46.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | v112(constB115) | (~v113(constB115))),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17235, 17234])).
% 73.28/46.13 tff(17237,plain,
% 73.28/46.13 (v112(constB115) | (~v113(constB115))),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17236, 301, 17230])).
% 73.28/46.13 tff(17238,plain,
% 73.28/46.13 (v112(constB115)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17237, 17226])).
% 73.28/46.13 tff(17239,plain,
% 73.28/46.13 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB115) | (~v112(constB115)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB115) | (~v112(constB115)))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17240,plain,
% 73.28/46.13 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB115) | (~v112(constB115)))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17241,plain,
% 73.28/46.13 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB115) | (~v112(constB115))),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17240, 17239])).
% 73.28/46.13 tff(17242,plain,
% 73.28/46.13 (v108(constB115)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17241, 210, 17238])).
% 73.28/46.13 tff(17243,plain,
% 73.28/46.13 (nextState(constB115, constB116) <=> nextState(constB115, constB116)),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17244,axiom,(nextState(constB115, constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_115_1')).
% 73.28/46.13 tff(17245,plain,
% 73.28/46.13 (nextState(constB115, constB116)),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17244, 17243])).
% 73.28/46.13 tff(17246,plain,
% 73.28/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17247,plain,
% 73.28/46.13 (((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116)) <=> ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17248,plain,
% 73.28/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115))))),
% 73.28/46.13 inference(monotonicity,[status(thm)],[17247])).
% 73.28/46.13 tff(17249,plain,
% 73.28/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 73.28/46.13 inference(transitivity,[status(thm)],[17248, 17246])).
% 73.28/46.13 tff(17250,plain,
% 73.28/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17251,plain,
% 73.28/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115))),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17250, 17249])).
% 73.28/46.13 tff(17252,plain,
% 73.28/46.13 (v110(constB116) | (~v108(constB115))),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17251, 317, 17245])).
% 73.28/46.13 tff(17253,plain,
% 73.28/46.13 (v110(constB116)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17252, 17242])).
% 73.28/46.13 tff(17254,plain,
% 73.28/46.13 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17255,plain,
% 73.28/46.13 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17256,plain,
% 73.28/46.13 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116))),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17255, 17254])).
% 73.28/46.13 tff(17257,plain,
% 73.28/46.13 (~v104(constB116)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17256, 335, 17245, 17115])).
% 73.28/46.13 tff(17258,plain,
% 73.28/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17259,plain,
% 73.28/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17260,plain,
% 73.28/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v102(constB116) | v104(constB116)),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17259, 17258])).
% 73.28/46.13 tff(17261,plain,
% 73.28/46.13 (v102(constB116) | v104(constB116)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17260, 349, 17245])).
% 73.28/46.13 tff(17262,plain,
% 73.28/46.13 (v102(constB116)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17261, 17257])).
% 73.28/46.13 tff(17263,plain,
% 73.28/46.13 (v1(constB116) <=> v1(constB116)),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17264,axiom,(v1(constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_116_1')).
% 73.28/46.13 tff(17265,plain,
% 73.28/46.13 (v1(constB116)),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17264, 17263])).
% 73.28/46.13 tff(17266,plain,
% 73.28/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17267,plain,
% 73.28/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17268,plain,
% 73.28/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116))),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17267, 17266])).
% 73.28/46.13 tff(17269,plain,
% 73.28/46.13 (v101(constB116) | (~v102(constB116))),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17268, 367, 17245, 17265])).
% 73.28/46.13 tff(17270,plain,
% 73.28/46.13 (v101(constB116)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17269, 17262])).
% 73.28/46.13 tff(17271,plain,
% 73.28/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17272,plain,
% 73.28/46.13 (((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116)) <=> ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17273,plain,
% 73.28/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116))))),
% 73.28/46.13 inference(monotonicity,[status(thm)],[17272])).
% 73.28/46.13 tff(17274,plain,
% 73.28/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 73.28/46.13 inference(transitivity,[status(thm)],[17273, 17271])).
% 73.28/46.13 tff(17275,plain,
% 73.28/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17276,plain,
% 73.28/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116))),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17275, 17274])).
% 73.28/46.13 tff(17277,plain,
% 73.28/46.13 (v100(constB116) | (~v101(constB116)) | (~v110(constB116))),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17276, 382, 17245])).
% 73.28/46.13 tff(17278,plain,
% 73.28/46.13 (v100(constB116) | (~v110(constB116))),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17277, 17270])).
% 73.28/46.13 tff(17279,plain,
% 73.28/46.13 (v100(constB116)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17278, 17253])).
% 73.28/46.13 tff(17280,plain,
% 73.28/46.13 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB115)) | v130(constB115, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB115)) | v130(constB115, bitIndex2))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17281,plain,
% 73.28/46.13 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB115)) | v130(constB115, bitIndex2))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17282,plain,
% 73.28/46.13 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB115)) | v130(constB115, bitIndex2)),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17281, 17280])).
% 73.28/46.13 tff(17283,plain,
% 73.28/46.13 (v130(constB115, bitIndex2)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17282, 1290, 17210])).
% 73.28/46.13 tff(17284,plain,
% 73.28/46.13 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB115) | (~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB115) | (~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17285,plain,
% 73.28/46.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB115) | (~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17286,plain,
% 73.28/46.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB115) | (~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2)),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17285, 17284])).
% 73.28/46.13 tff(17287,plain,
% 73.28/46.13 ((~v130(constB115, bitIndex2)) | v127(constB115, bitIndex2)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17286, 1304, 17230])).
% 73.28/46.13 tff(17288,plain,
% 73.28/46.13 (v127(constB115, bitIndex2)),
% 73.28/46.13 inference(unit_resolution,[status(thm)],[17287, 17283])).
% 73.28/46.13 tff(17289,plain,
% 73.28/46.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB115, constB116)) | (~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB115, constB116)) | (~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2))),
% 73.28/46.13 inference(rewrite,[status(thm)],[])).
% 73.28/46.13 tff(17290,plain,
% 73.28/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB115, constB116)) | (~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2))),
% 73.28/46.13 inference(quant_inst,[status(thm)],[])).
% 73.28/46.13 tff(17291,plain,
% 73.28/46.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB115, constB116)) | (~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2)),
% 73.28/46.13 inference(modus_ponens,[status(thm)],[17290, 17289])).
% 73.28/46.13 tff(17292,plain,
% 73.28/46.14 ((~v127(constB115, bitIndex2)) | v129(constB116, bitIndex2)),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17291, 1319, 17245])).
% 73.28/46.14 tff(17293,plain,
% 73.28/46.14 (v129(constB116, bitIndex2)),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17292, 17288])).
% 73.28/46.14 tff(17294,plain,
% 73.28/46.14 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116)))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17295,plain,
% 73.28/46.14 ((v90(constB116, bitIndex2) | (~v100(constB116)) | (~v129(constB116, bitIndex2))) <=> (v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116)))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17296,plain,
% 73.28/46.14 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~v100(constB116)) | (~v129(constB116, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116))))),
% 73.28/46.14 inference(monotonicity,[status(thm)],[17295])).
% 73.28/46.14 tff(17297,plain,
% 73.28/46.14 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~v100(constB116)) | (~v129(constB116, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116)))),
% 73.28/46.14 inference(transitivity,[status(thm)],[17296, 17294])).
% 73.28/46.14 tff(17298,plain,
% 73.28/46.14 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB116, bitIndex2) | (~v100(constB116)) | (~v129(constB116, bitIndex2)))),
% 73.28/46.14 inference(quant_inst,[status(thm)],[])).
% 73.28/46.14 tff(17299,plain,
% 73.28/46.14 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2)) | (~v100(constB116))),
% 73.28/46.14 inference(modus_ponens,[status(thm)],[17298, 17297])).
% 73.28/46.14 tff(17300,plain,
% 73.28/46.14 (v90(constB116, bitIndex2) | (~v100(constB116))),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17299, 1334, 17293])).
% 73.28/46.14 tff(17301,plain,
% 73.28/46.14 (v90(constB116, bitIndex2)),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17300, 17279])).
% 73.28/46.14 tff(17302,plain,
% 73.28/46.14 ((~v1(constB117)) <=> (~v1(constB117))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17303,axiom,(~v1(constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_117_1_1')).
% 73.28/46.14 tff(17304,plain,
% 73.28/46.14 (~v1(constB117)),
% 73.28/46.14 inference(modus_ponens,[status(thm)],[17303, 17302])).
% 73.28/46.14 tff(17305,plain,
% 73.28/46.14 (nextState(constB116, constB117) <=> nextState(constB116, constB117)),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17306,axiom,(nextState(constB116, constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_116_1')).
% 73.28/46.14 tff(17307,plain,
% 73.28/46.14 (nextState(constB116, constB117)),
% 73.28/46.14 inference(modus_ponens,[status(thm)],[17306, 17305])).
% 73.28/46.14 tff(17308,plain,
% 73.28/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17309,plain,
% 73.28/46.14 (((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117)) <=> (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17310,plain,
% 73.28/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117))))),
% 73.28/46.14 inference(monotonicity,[status(thm)],[17309])).
% 73.28/46.14 tff(17311,plain,
% 73.28/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 73.28/46.14 inference(transitivity,[status(thm)],[17310, 17308])).
% 73.28/46.14 tff(17312,plain,
% 73.28/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))),
% 73.28/46.14 inference(quant_inst,[status(thm)],[])).
% 73.28/46.14 tff(17313,plain,
% 73.28/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117))),
% 73.28/46.14 inference(modus_ponens,[status(thm)],[17312, 17311])).
% 73.28/46.14 tff(17314,plain,
% 73.28/46.14 (~v101(constB117)),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17313, 56, 17307, 17304])).
% 73.28/46.14 tff(17315,plain,
% 73.28/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17316,plain,
% 73.28/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))),
% 73.28/46.14 inference(quant_inst,[status(thm)],[])).
% 73.28/46.14 tff(17317,plain,
% 73.28/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117))),
% 73.28/46.14 inference(modus_ponens,[status(thm)],[17316, 17315])).
% 73.28/46.14 tff(17318,plain,
% 73.28/46.14 (v101(constB117) | (~v100(constB117))),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17317, 73, 17307])).
% 73.28/46.14 tff(17319,plain,
% 73.28/46.14 (~v100(constB117)),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17318, 17314])).
% 73.28/46.14 tff(17320,plain,
% 73.28/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex2))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17321,plain,
% 73.28/46.14 (((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex2)) | v100(constB117) | v90(constB117, bitIndex2)) <=> ((~v90(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex2))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17322,plain,
% 73.28/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex2)) | v100(constB117) | v90(constB117, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex2)))),
% 73.28/46.14 inference(monotonicity,[status(thm)],[17321])).
% 73.28/46.14 tff(17323,plain,
% 73.28/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex2)) | v100(constB117) | v90(constB117, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex2))),
% 73.28/46.14 inference(transitivity,[status(thm)],[17322, 17320])).
% 73.28/46.14 tff(17324,plain,
% 73.28/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex2)) | v100(constB117) | v90(constB117, bitIndex2))),
% 73.28/46.14 inference(quant_inst,[status(thm)],[])).
% 73.28/46.14 tff(17325,plain,
% 73.28/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex2)),
% 73.28/46.14 inference(modus_ponens,[status(thm)],[17324, 17323])).
% 73.28/46.14 tff(17326,plain,
% 73.28/46.14 ((~v90(constB116, bitIndex2)) | v100(constB117) | v90(constB117, bitIndex2)),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17325, 1370, 17307])).
% 73.28/46.14 tff(17327,plain,
% 73.28/46.14 ((~v90(constB116, bitIndex2)) | v90(constB117, bitIndex2)),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17326, 17319])).
% 73.28/46.14 tff(17328,plain,
% 73.28/46.14 (v90(constB117, bitIndex2)),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17327, 17301])).
% 73.28/46.14 tff(17329,plain,
% 73.28/46.14 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB115)) | (~v130(constB115, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB115)) | (~v130(constB115, bitIndex0)))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17330,plain,
% 73.28/46.14 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB115)) | (~v130(constB115, bitIndex0)))),
% 73.28/46.14 inference(quant_inst,[status(thm)],[])).
% 73.28/46.14 tff(17331,plain,
% 73.28/46.14 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB115)) | (~v130(constB115, bitIndex0))),
% 73.28/46.14 inference(modus_ponens,[status(thm)],[17330, 17329])).
% 73.28/46.14 tff(17332,plain,
% 73.28/46.14 (~v130(constB115, bitIndex0)),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17331, 1433, 17210])).
% 73.28/46.14 tff(17333,plain,
% 73.28/46.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17334,plain,
% 73.28/46.14 ((v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0))) <=> ((~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17335,plain,
% 73.28/46.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0)))),
% 73.28/46.14 inference(monotonicity,[status(thm)],[17334])).
% 73.28/46.14 tff(17336,plain,
% 73.28/46.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0))),
% 73.28/46.14 inference(transitivity,[status(thm)],[17335, 17333])).
% 73.28/46.14 tff(17337,plain,
% 73.28/46.14 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB115) | v130(constB115, bitIndex0) | (~v127(constB115, bitIndex0)))),
% 73.28/46.14 inference(quant_inst,[status(thm)],[])).
% 73.28/46.14 tff(17338,plain,
% 73.28/46.14 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB115, bitIndex0)) | v26(constB115) | v130(constB115, bitIndex0)),
% 73.28/46.14 inference(modus_ponens,[status(thm)],[17337, 17336])).
% 73.28/46.14 tff(17339,plain,
% 73.28/46.14 ((~v127(constB115, bitIndex0)) | v130(constB115, bitIndex0)),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17338, 905, 17230])).
% 73.28/46.14 tff(17340,plain,
% 73.28/46.14 (~v127(constB115, bitIndex0)),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17339, 17332])).
% 73.28/46.14 tff(17341,plain,
% 73.28/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0)))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17342,plain,
% 73.28/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0)))),
% 73.28/46.14 inference(quant_inst,[status(thm)],[])).
% 73.28/46.14 tff(17343,plain,
% 73.28/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0))),
% 73.28/46.14 inference(modus_ponens,[status(thm)],[17342, 17341])).
% 73.28/46.14 tff(17344,plain,
% 73.28/46.14 (v127(constB115, bitIndex0) | (~v129(constB116, bitIndex0))),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17343, 923, 17245])).
% 73.28/46.14 tff(17345,plain,
% 73.28/46.14 (~v129(constB116, bitIndex0)),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17344, 17340])).
% 73.28/46.14 tff(17346,plain,
% 73.28/46.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116)))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17347,plain,
% 73.28/46.14 (((~v90(constB116, bitIndex0)) | (~v100(constB116)) | v129(constB116, bitIndex0)) <=> ((~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116)))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17348,plain,
% 73.28/46.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | (~v100(constB116)) | v129(constB116, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116))))),
% 73.28/46.14 inference(monotonicity,[status(thm)],[17347])).
% 73.28/46.14 tff(17349,plain,
% 73.28/46.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | (~v100(constB116)) | v129(constB116, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116)))),
% 73.28/46.14 inference(transitivity,[status(thm)],[17348, 17346])).
% 73.28/46.14 tff(17350,plain,
% 73.28/46.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB116, bitIndex0)) | (~v100(constB116)) | v129(constB116, bitIndex0))),
% 73.28/46.14 inference(quant_inst,[status(thm)],[])).
% 73.28/46.14 tff(17351,plain,
% 73.28/46.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0) | (~v100(constB116))),
% 73.28/46.14 inference(modus_ponens,[status(thm)],[17350, 17349])).
% 73.28/46.14 tff(17352,plain,
% 73.28/46.14 ((~v90(constB116, bitIndex0)) | (~v100(constB116))),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17351, 938, 17345])).
% 73.28/46.14 tff(17353,plain,
% 73.28/46.14 (~v90(constB116, bitIndex0)),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17352, 17279])).
% 73.28/46.14 tff(17354,plain,
% 73.28/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0)))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17355,plain,
% 73.28/46.14 (((~nextState(constB116, constB117)) | v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0))) <=> (v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0)))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17356,plain,
% 73.28/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0))))),
% 73.28/46.14 inference(monotonicity,[status(thm)],[17355])).
% 73.28/46.14 tff(17357,plain,
% 73.28/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0)))),
% 73.28/46.14 inference(transitivity,[status(thm)],[17356, 17354])).
% 73.28/46.14 tff(17358,plain,
% 73.28/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0)))),
% 73.28/46.14 inference(quant_inst,[status(thm)],[])).
% 73.28/46.14 tff(17359,plain,
% 73.28/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex0))),
% 73.28/46.14 inference(modus_ponens,[status(thm)],[17358, 17357])).
% 73.28/46.14 tff(17360,plain,
% 73.28/46.14 (v90(constB116, bitIndex0) | v100(constB117) | (~v90(constB117, bitIndex0))),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17359, 130, 17307])).
% 73.28/46.14 tff(17361,plain,
% 73.28/46.14 (v90(constB116, bitIndex0) | (~v90(constB117, bitIndex0))),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17360, 17319])).
% 73.28/46.14 tff(17362,plain,
% 73.28/46.14 (~v90(constB117, bitIndex0)),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17361, 17353])).
% 73.28/46.14 tff(17363,plain,
% 73.28/46.14 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB115)) | (~v130(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB115)) | (~v130(constB115, bitIndex1)))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17364,plain,
% 73.28/46.14 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB115)) | (~v130(constB115, bitIndex1)))),
% 73.28/46.14 inference(quant_inst,[status(thm)],[])).
% 73.28/46.14 tff(17365,plain,
% 73.28/46.14 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB115)) | (~v130(constB115, bitIndex1))),
% 73.28/46.14 inference(modus_ponens,[status(thm)],[17364, 17363])).
% 73.28/46.14 tff(17366,plain,
% 73.28/46.14 (~v130(constB115, bitIndex1)),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17365, 1389, 17210])).
% 73.28/46.14 tff(17367,plain,
% 73.28/46.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17368,plain,
% 73.28/46.14 ((v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1))) <=> ((~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17369,plain,
% 73.28/46.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1)))),
% 73.28/46.14 inference(monotonicity,[status(thm)],[17368])).
% 73.28/46.14 tff(17370,plain,
% 73.28/46.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))),
% 73.28/46.14 inference(transitivity,[status(thm)],[17369, 17367])).
% 73.28/46.14 tff(17371,plain,
% 73.28/46.14 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1)))),
% 73.28/46.14 inference(quant_inst,[status(thm)],[])).
% 73.28/46.14 tff(17372,plain,
% 73.28/46.14 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1)),
% 73.28/46.14 inference(modus_ponens,[status(thm)],[17371, 17370])).
% 73.28/46.14 tff(17373,plain,
% 73.28/46.14 ((~v127(constB115, bitIndex1)) | v130(constB115, bitIndex1)),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17372, 555, 17230])).
% 73.28/46.14 tff(17374,plain,
% 73.28/46.14 (~v127(constB115, bitIndex1)),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17373, 17366])).
% 73.28/46.14 tff(17375,plain,
% 73.28/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1)))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17376,plain,
% 73.28/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1)))),
% 73.28/46.14 inference(quant_inst,[status(thm)],[])).
% 73.28/46.14 tff(17377,plain,
% 73.28/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1))),
% 73.28/46.14 inference(modus_ponens,[status(thm)],[17376, 17375])).
% 73.28/46.14 tff(17378,plain,
% 73.28/46.14 (v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1))),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17377, 588, 17245])).
% 73.28/46.14 tff(17379,plain,
% 73.28/46.14 (~v129(constB116, bitIndex1)),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17378, 17374])).
% 73.28/46.14 tff(17380,plain,
% 73.28/46.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17381,plain,
% 73.28/46.14 (((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1)) <=> ((~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17382,plain,
% 73.28/46.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116))))),
% 73.28/46.14 inference(monotonicity,[status(thm)],[17381])).
% 73.28/46.14 tff(17383,plain,
% 73.28/46.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))),
% 73.28/46.14 inference(transitivity,[status(thm)],[17382, 17380])).
% 73.28/46.14 tff(17384,plain,
% 73.28/46.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1))),
% 73.28/46.14 inference(quant_inst,[status(thm)],[])).
% 73.28/46.14 tff(17385,plain,
% 73.28/46.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116))),
% 73.28/46.14 inference(modus_ponens,[status(thm)],[17384, 17383])).
% 73.28/46.14 tff(17386,plain,
% 73.28/46.14 ((~v90(constB116, bitIndex1)) | (~v100(constB116))),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17385, 603, 17379])).
% 73.28/46.14 tff(17387,plain,
% 73.28/46.14 (~v90(constB116, bitIndex1)),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17386, 17279])).
% 73.28/46.14 tff(17388,plain,
% 73.28/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17389,plain,
% 73.28/46.14 (((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1))) <=> (v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17390,plain,
% 73.28/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1))))),
% 73.28/46.14 inference(monotonicity,[status(thm)],[17389])).
% 73.28/46.14 tff(17391,plain,
% 73.28/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 73.28/46.14 inference(transitivity,[status(thm)],[17390, 17388])).
% 73.28/46.14 tff(17392,plain,
% 73.28/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 73.28/46.14 inference(quant_inst,[status(thm)],[])).
% 73.28/46.14 tff(17393,plain,
% 73.28/46.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1))),
% 73.28/46.14 inference(modus_ponens,[status(thm)],[17392, 17391])).
% 73.28/46.14 tff(17394,plain,
% 73.28/46.14 (v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1))),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17393, 109, 17307])).
% 73.28/46.14 tff(17395,plain,
% 73.28/46.14 (v90(constB116, bitIndex1) | (~v90(constB117, bitIndex1))),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17394, 17319])).
% 73.28/46.14 tff(17396,plain,
% 73.28/46.14 (~v90(constB117, bitIndex1)),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17395, 17387])).
% 73.28/46.14 tff(17397,assumption,(~v123(constB117)), introduced(assumption)).
% 73.28/46.14 tff(17398,plain,
% 73.28/46.14 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)) | v123(constB117))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)) | v123(constB117))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17399,plain,
% 73.28/46.14 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)) | v123(constB117))),
% 73.28/46.14 inference(quant_inst,[status(thm)],[])).
% 73.28/46.14 tff(17400,plain,
% 73.28/46.14 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)) | v123(constB117)),
% 73.28/46.14 inference(modus_ponens,[status(thm)],[17399, 17398])).
% 73.28/46.14 tff(17401,plain,
% 73.28/46.14 (v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2))),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17400, 1477, 17397])).
% 73.28/46.14 tff(17402,plain,
% 73.28/46.14 ($false),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17401, 17396, 17362, 17328])).
% 73.28/46.14 tff(17403,plain,((~v122(constB115)) | v123(constB117)), inference(lemma,lemma(discharge,[]))).
% 73.28/46.14 tff(17404,plain,
% 73.28/46.14 (v123(constB117)),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17403, 17209])).
% 73.28/46.14 tff(17405,plain,
% 73.28/46.14 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB117) | (~v123(constB117)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB117) | (~v123(constB117)))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17406,plain,
% 73.28/46.14 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB117) | (~v123(constB117)))),
% 73.28/46.14 inference(quant_inst,[status(thm)],[])).
% 73.28/46.14 tff(17407,plain,
% 73.28/46.14 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB117) | (~v123(constB117))),
% 73.28/46.14 inference(modus_ponens,[status(thm)],[17406, 17405])).
% 73.28/46.14 tff(17408,plain,
% 73.28/46.14 (v115(constB117)),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17407, 1488, 17404])).
% 73.28/46.14 tff(17409,plain,
% 73.28/46.14 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB117) | (~v115(constB117)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB117) | (~v115(constB117)))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17410,plain,
% 73.28/46.14 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB117) | (~v115(constB117)))),
% 73.28/46.14 inference(quant_inst,[status(thm)],[])).
% 73.28/46.14 tff(17411,plain,
% 73.28/46.14 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB117) | (~v115(constB117))),
% 73.28/46.14 inference(modus_ponens,[status(thm)],[17410, 17409])).
% 73.28/46.14 tff(17412,plain,
% 73.28/46.14 (v114(constB117)),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17411, 276, 17408])).
% 73.28/46.14 tff(17413,plain,
% 73.28/46.14 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB117) | (~v114(constB117)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB117) | (~v114(constB117)))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17414,plain,
% 73.28/46.14 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB117) | (~v114(constB117)))),
% 73.28/46.14 inference(quant_inst,[status(thm)],[])).
% 73.28/46.14 tff(17415,plain,
% 73.28/46.14 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB117) | (~v114(constB117))),
% 73.28/46.14 inference(modus_ponens,[status(thm)],[17414, 17413])).
% 73.28/46.14 tff(17416,plain,
% 73.28/46.14 (v113(constB117)),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17415, 287, 17412])).
% 73.28/46.14 tff(17417,assumption,(v26(constB117)), introduced(assumption)).
% 73.28/46.14 tff(17418,plain,
% 73.28/46.14 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB117))),
% 73.28/46.14 inference(quant_inst,[status(thm)],[])).
% 73.28/46.14 tff(17419,plain,
% 73.28/46.14 ($false),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17418, 37, 17417])).
% 73.28/46.14 tff(17420,plain,(~v26(constB117)), inference(lemma,lemma(discharge,[]))).
% 73.28/46.14 tff(17421,plain,
% 73.28/46.14 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | v112(constB117) | (~v113(constB117)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | v112(constB117) | (~v113(constB117)))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17422,plain,
% 73.28/46.14 ((v26(constB117) | (~v113(constB117)) | v112(constB117)) <=> (v26(constB117) | v112(constB117) | (~v113(constB117)))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17423,plain,
% 73.28/46.14 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | v112(constB117) | (~v113(constB117))))),
% 73.28/46.14 inference(monotonicity,[status(thm)],[17422])).
% 73.28/46.14 tff(17424,plain,
% 73.28/46.14 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | v112(constB117) | (~v113(constB117)))),
% 73.28/46.14 inference(transitivity,[status(thm)],[17423, 17421])).
% 73.28/46.14 tff(17425,plain,
% 73.28/46.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))),
% 73.28/46.14 inference(quant_inst,[status(thm)],[])).
% 73.28/46.14 tff(17426,plain,
% 73.28/46.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | v112(constB117) | (~v113(constB117))),
% 73.28/46.14 inference(modus_ponens,[status(thm)],[17425, 17424])).
% 73.28/46.14 tff(17427,plain,
% 73.28/46.14 (v112(constB117) | (~v113(constB117))),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17426, 301, 17420])).
% 73.28/46.14 tff(17428,plain,
% 73.28/46.14 (v112(constB117)),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17427, 17416])).
% 73.28/46.14 tff(17429,plain,
% 73.28/46.14 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB117) | (~v112(constB117)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB117) | (~v112(constB117)))),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17430,plain,
% 73.28/46.14 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB117) | (~v112(constB117)))),
% 73.28/46.14 inference(quant_inst,[status(thm)],[])).
% 73.28/46.14 tff(17431,plain,
% 73.28/46.14 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB117) | (~v112(constB117))),
% 73.28/46.14 inference(modus_ponens,[status(thm)],[17430, 17429])).
% 73.28/46.14 tff(17432,plain,
% 73.28/46.14 (v108(constB117)),
% 73.28/46.14 inference(unit_resolution,[status(thm)],[17431, 210, 17428])).
% 73.28/46.14 tff(17433,plain,
% 73.28/46.14 (nextState(constB117, constB118) <=> nextState(constB117, constB118)),
% 73.28/46.14 inference(rewrite,[status(thm)],[])).
% 73.28/46.14 tff(17434,axiom,(nextState(constB117, constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_117_1')).
% 73.28/46.14 tff(17435,plain,
% 73.28/46.14 (nextState(constB117, constB118)),
% 73.28/46.14 inference(modus_ponens,[status(thm)],[17434, 17433])).
% 73.28/46.14 tff(17436,plain,
% 73.28/46.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17437,plain,
% 73.28/46.15 (((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118)) <=> ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17438,plain,
% 73.28/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117))))),
% 73.28/46.15 inference(monotonicity,[status(thm)],[17437])).
% 73.28/46.15 tff(17439,plain,
% 73.28/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 73.28/46.15 inference(transitivity,[status(thm)],[17438, 17436])).
% 73.28/46.15 tff(17440,plain,
% 73.28/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))),
% 73.28/46.15 inference(quant_inst,[status(thm)],[])).
% 73.28/46.15 tff(17441,plain,
% 73.28/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117))),
% 73.28/46.15 inference(modus_ponens,[status(thm)],[17440, 17439])).
% 73.28/46.15 tff(17442,plain,
% 73.28/46.15 (v110(constB118) | (~v108(constB117))),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17441, 317, 17435])).
% 73.28/46.15 tff(17443,plain,
% 73.28/46.15 (v110(constB118)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17442, 17432])).
% 73.28/46.15 tff(17444,plain,
% 73.28/46.15 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17445,plain,
% 73.28/46.15 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))),
% 73.28/46.15 inference(quant_inst,[status(thm)],[])).
% 73.28/46.15 tff(17446,plain,
% 73.28/46.15 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118))),
% 73.28/46.15 inference(modus_ponens,[status(thm)],[17445, 17444])).
% 73.28/46.15 tff(17447,plain,
% 73.28/46.15 (~v104(constB118)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17446, 335, 17435, 17304])).
% 73.28/46.15 tff(17448,plain,
% 73.28/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17449,plain,
% 73.28/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))),
% 73.28/46.15 inference(quant_inst,[status(thm)],[])).
% 73.28/46.15 tff(17450,plain,
% 73.28/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v102(constB118) | v104(constB118)),
% 73.28/46.15 inference(modus_ponens,[status(thm)],[17449, 17448])).
% 73.28/46.15 tff(17451,plain,
% 73.28/46.15 (v102(constB118) | v104(constB118)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17450, 349, 17435])).
% 73.28/46.15 tff(17452,plain,
% 73.28/46.15 (v102(constB118)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17451, 17447])).
% 73.28/46.15 tff(17453,plain,
% 73.28/46.15 (v1(constB118) <=> v1(constB118)),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17454,axiom,(v1(constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_118_1')).
% 73.28/46.15 tff(17455,plain,
% 73.28/46.15 (v1(constB118)),
% 73.28/46.15 inference(modus_ponens,[status(thm)],[17454, 17453])).
% 73.28/46.15 tff(17456,plain,
% 73.28/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17457,plain,
% 73.28/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))),
% 73.28/46.15 inference(quant_inst,[status(thm)],[])).
% 73.28/46.15 tff(17458,plain,
% 73.28/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118))),
% 73.28/46.15 inference(modus_ponens,[status(thm)],[17457, 17456])).
% 73.28/46.15 tff(17459,plain,
% 73.28/46.15 (v101(constB118) | (~v102(constB118))),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17458, 367, 17435, 17455])).
% 73.28/46.15 tff(17460,plain,
% 73.28/46.15 (v101(constB118)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17459, 17452])).
% 73.28/46.15 tff(17461,plain,
% 73.28/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17462,plain,
% 73.28/46.15 (((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118)) <=> ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17463,plain,
% 73.28/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118))))),
% 73.28/46.15 inference(monotonicity,[status(thm)],[17462])).
% 73.28/46.15 tff(17464,plain,
% 73.28/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 73.28/46.15 inference(transitivity,[status(thm)],[17463, 17461])).
% 73.28/46.15 tff(17465,plain,
% 73.28/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))),
% 73.28/46.15 inference(quant_inst,[status(thm)],[])).
% 73.28/46.15 tff(17466,plain,
% 73.28/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118))),
% 73.28/46.15 inference(modus_ponens,[status(thm)],[17465, 17464])).
% 73.28/46.15 tff(17467,plain,
% 73.28/46.15 (v100(constB118) | (~v101(constB118)) | (~v110(constB118))),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17466, 382, 17435])).
% 73.28/46.15 tff(17468,plain,
% 73.28/46.15 (v100(constB118) | (~v110(constB118))),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17467, 17460])).
% 73.28/46.15 tff(17469,plain,
% 73.28/46.15 (v100(constB118)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17468, 17443])).
% 73.28/46.15 tff(17470,plain,
% 73.28/46.15 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB117)) | v130(constB117, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB117)) | v130(constB117, bitIndex2))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17471,plain,
% 73.28/46.15 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB117)) | v130(constB117, bitIndex2))),
% 73.28/46.15 inference(quant_inst,[status(thm)],[])).
% 73.28/46.15 tff(17472,plain,
% 73.28/46.15 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB117)) | v130(constB117, bitIndex2)),
% 73.28/46.15 inference(modus_ponens,[status(thm)],[17471, 17470])).
% 73.28/46.15 tff(17473,plain,
% 73.28/46.15 (v130(constB117, bitIndex2)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17472, 1563, 17404])).
% 73.28/46.15 tff(17474,plain,
% 73.28/46.15 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB117) | (~v130(constB117, bitIndex2)) | v127(constB117, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB117) | (~v130(constB117, bitIndex2)) | v127(constB117, bitIndex2))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17475,plain,
% 73.28/46.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB117) | (~v130(constB117, bitIndex2)) | v127(constB117, bitIndex2))),
% 73.28/46.15 inference(quant_inst,[status(thm)],[])).
% 73.28/46.15 tff(17476,plain,
% 73.28/46.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB117) | (~v130(constB117, bitIndex2)) | v127(constB117, bitIndex2)),
% 73.28/46.15 inference(modus_ponens,[status(thm)],[17475, 17474])).
% 73.28/46.15 tff(17477,plain,
% 73.28/46.15 ((~v130(constB117, bitIndex2)) | v127(constB117, bitIndex2)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17476, 1304, 17420])).
% 73.28/46.15 tff(17478,plain,
% 73.28/46.15 (v127(constB117, bitIndex2)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17477, 17473])).
% 73.28/46.15 tff(17479,plain,
% 73.28/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex2)) | v129(constB118, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex2)) | v129(constB118, bitIndex2))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17480,plain,
% 73.28/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex2)) | v129(constB118, bitIndex2))),
% 73.28/46.15 inference(quant_inst,[status(thm)],[])).
% 73.28/46.15 tff(17481,plain,
% 73.28/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex2)) | v129(constB118, bitIndex2)),
% 73.28/46.15 inference(modus_ponens,[status(thm)],[17480, 17479])).
% 73.28/46.15 tff(17482,plain,
% 73.28/46.15 ((~v127(constB117, bitIndex2)) | v129(constB118, bitIndex2)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17481, 1319, 17435])).
% 73.28/46.15 tff(17483,plain,
% 73.28/46.15 (v129(constB118, bitIndex2)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17482, 17478])).
% 73.28/46.15 tff(17484,plain,
% 73.28/46.15 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118)))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17485,plain,
% 73.28/46.15 ((v90(constB118, bitIndex2) | (~v100(constB118)) | (~v129(constB118, bitIndex2))) <=> (v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118)))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17486,plain,
% 73.28/46.15 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~v100(constB118)) | (~v129(constB118, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118))))),
% 73.28/46.15 inference(monotonicity,[status(thm)],[17485])).
% 73.28/46.15 tff(17487,plain,
% 73.28/46.15 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~v100(constB118)) | (~v129(constB118, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118)))),
% 73.28/46.15 inference(transitivity,[status(thm)],[17486, 17484])).
% 73.28/46.15 tff(17488,plain,
% 73.28/46.15 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~v100(constB118)) | (~v129(constB118, bitIndex2)))),
% 73.28/46.15 inference(quant_inst,[status(thm)],[])).
% 73.28/46.15 tff(17489,plain,
% 73.28/46.15 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118))),
% 73.28/46.15 inference(modus_ponens,[status(thm)],[17488, 17487])).
% 73.28/46.15 tff(17490,plain,
% 73.28/46.15 (v90(constB118, bitIndex2) | (~v100(constB118))),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17489, 1334, 17483])).
% 73.28/46.15 tff(17491,plain,
% 73.28/46.15 (v90(constB118, bitIndex2)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17490, 17469])).
% 73.28/46.15 tff(17492,plain,
% 73.28/46.15 ((~v1(constB119)) <=> (~v1(constB119))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17493,axiom,(~v1(constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_119_1_1')).
% 73.28/46.15 tff(17494,plain,
% 73.28/46.15 (~v1(constB119)),
% 73.28/46.15 inference(modus_ponens,[status(thm)],[17493, 17492])).
% 73.28/46.15 tff(17495,plain,
% 73.28/46.15 (nextState(constB118, constB119) <=> nextState(constB118, constB119)),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17496,axiom,(nextState(constB118, constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_118_1')).
% 73.28/46.15 tff(17497,plain,
% 73.28/46.15 (nextState(constB118, constB119)),
% 73.28/46.15 inference(modus_ponens,[status(thm)],[17496, 17495])).
% 73.28/46.15 tff(17498,plain,
% 73.28/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17499,plain,
% 73.28/46.15 (((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119)) <=> (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17500,plain,
% 73.28/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119))))),
% 73.28/46.15 inference(monotonicity,[status(thm)],[17499])).
% 73.28/46.15 tff(17501,plain,
% 73.28/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 73.28/46.15 inference(transitivity,[status(thm)],[17500, 17498])).
% 73.28/46.15 tff(17502,plain,
% 73.28/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))),
% 73.28/46.15 inference(quant_inst,[status(thm)],[])).
% 73.28/46.15 tff(17503,plain,
% 73.28/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119))),
% 73.28/46.15 inference(modus_ponens,[status(thm)],[17502, 17501])).
% 73.28/46.15 tff(17504,plain,
% 73.28/46.15 (~v101(constB119)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17503, 56, 17497, 17494])).
% 73.28/46.15 tff(17505,plain,
% 73.28/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17506,plain,
% 73.28/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))),
% 73.28/46.15 inference(quant_inst,[status(thm)],[])).
% 73.28/46.15 tff(17507,plain,
% 73.28/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119))),
% 73.28/46.15 inference(modus_ponens,[status(thm)],[17506, 17505])).
% 73.28/46.15 tff(17508,plain,
% 73.28/46.15 (v101(constB119) | (~v100(constB119))),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17507, 73, 17497])).
% 73.28/46.15 tff(17509,plain,
% 73.28/46.15 (~v100(constB119)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17508, 17504])).
% 73.28/46.15 tff(17510,plain,
% 73.28/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex2))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17511,plain,
% 73.28/46.15 (((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex2)) | v100(constB119) | v90(constB119, bitIndex2)) <=> ((~v90(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex2))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17512,plain,
% 73.28/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex2)) | v100(constB119) | v90(constB119, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex2)))),
% 73.28/46.15 inference(monotonicity,[status(thm)],[17511])).
% 73.28/46.15 tff(17513,plain,
% 73.28/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex2)) | v100(constB119) | v90(constB119, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex2))),
% 73.28/46.15 inference(transitivity,[status(thm)],[17512, 17510])).
% 73.28/46.15 tff(17514,plain,
% 73.28/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex2)) | v100(constB119) | v90(constB119, bitIndex2))),
% 73.28/46.15 inference(quant_inst,[status(thm)],[])).
% 73.28/46.15 tff(17515,plain,
% 73.28/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex2)),
% 73.28/46.15 inference(modus_ponens,[status(thm)],[17514, 17513])).
% 73.28/46.15 tff(17516,plain,
% 73.28/46.15 ((~v90(constB118, bitIndex2)) | v100(constB119) | v90(constB119, bitIndex2)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17515, 1370, 17497])).
% 73.28/46.15 tff(17517,plain,
% 73.28/46.15 ((~v90(constB118, bitIndex2)) | v90(constB119, bitIndex2)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17516, 17509])).
% 73.28/46.15 tff(17518,plain,
% 73.28/46.15 (v90(constB119, bitIndex2)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17517, 17491])).
% 73.28/46.15 tff(17519,plain,
% 73.28/46.15 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB117)) | (~v130(constB117, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB117)) | (~v130(constB117, bitIndex1)))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17520,plain,
% 73.28/46.15 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB117)) | (~v130(constB117, bitIndex1)))),
% 73.28/46.15 inference(quant_inst,[status(thm)],[])).
% 73.28/46.15 tff(17521,plain,
% 73.28/46.15 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB117)) | (~v130(constB117, bitIndex1))),
% 73.28/46.15 inference(modus_ponens,[status(thm)],[17520, 17519])).
% 73.28/46.15 tff(17522,plain,
% 73.28/46.15 (~v130(constB117, bitIndex1)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17521, 1622, 17404])).
% 73.28/46.15 tff(17523,plain,
% 73.28/46.15 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17524,plain,
% 73.28/46.15 ((v26(constB117) | v130(constB117, bitIndex1) | (~v127(constB117, bitIndex1))) <=> ((~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17525,plain,
% 73.28/46.15 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB117) | v130(constB117, bitIndex1) | (~v127(constB117, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1)))),
% 73.28/46.15 inference(monotonicity,[status(thm)],[17524])).
% 73.28/46.15 tff(17526,plain,
% 73.28/46.15 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB117) | v130(constB117, bitIndex1) | (~v127(constB117, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1))),
% 73.28/46.15 inference(transitivity,[status(thm)],[17525, 17523])).
% 73.28/46.15 tff(17527,plain,
% 73.28/46.15 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB117) | v130(constB117, bitIndex1) | (~v127(constB117, bitIndex1)))),
% 73.28/46.15 inference(quant_inst,[status(thm)],[])).
% 73.28/46.15 tff(17528,plain,
% 73.28/46.15 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB117, bitIndex1)) | v26(constB117) | v130(constB117, bitIndex1)),
% 73.28/46.15 inference(modus_ponens,[status(thm)],[17527, 17526])).
% 73.28/46.15 tff(17529,plain,
% 73.28/46.15 ((~v127(constB117, bitIndex1)) | v130(constB117, bitIndex1)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17528, 555, 17420])).
% 73.28/46.15 tff(17530,plain,
% 73.28/46.15 (~v127(constB117, bitIndex1)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17529, 17522])).
% 73.28/46.15 tff(17531,plain,
% 73.28/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB117, constB118)) | v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB117, constB118)) | v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1)))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17532,plain,
% 73.28/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB117, constB118)) | v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1)))),
% 73.28/46.15 inference(quant_inst,[status(thm)],[])).
% 73.28/46.15 tff(17533,plain,
% 73.28/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB117, constB118)) | v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1))),
% 73.28/46.15 inference(modus_ponens,[status(thm)],[17532, 17531])).
% 73.28/46.15 tff(17534,plain,
% 73.28/46.15 (v127(constB117, bitIndex1) | (~v129(constB118, bitIndex1))),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17533, 588, 17435])).
% 73.28/46.15 tff(17535,plain,
% 73.28/46.15 (~v129(constB118, bitIndex1)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17534, 17530])).
% 73.28/46.15 tff(17536,plain,
% 73.28/46.15 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118)))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17537,plain,
% 73.28/46.15 (((~v90(constB118, bitIndex1)) | (~v100(constB118)) | v129(constB118, bitIndex1)) <=> ((~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118)))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17538,plain,
% 73.28/46.15 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | (~v100(constB118)) | v129(constB118, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118))))),
% 73.28/46.15 inference(monotonicity,[status(thm)],[17537])).
% 73.28/46.15 tff(17539,plain,
% 73.28/46.15 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | (~v100(constB118)) | v129(constB118, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118)))),
% 73.28/46.15 inference(transitivity,[status(thm)],[17538, 17536])).
% 73.28/46.15 tff(17540,plain,
% 73.28/46.15 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB118, bitIndex1)) | (~v100(constB118)) | v129(constB118, bitIndex1))),
% 73.28/46.15 inference(quant_inst,[status(thm)],[])).
% 73.28/46.15 tff(17541,plain,
% 73.28/46.15 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1) | (~v100(constB118))),
% 73.28/46.15 inference(modus_ponens,[status(thm)],[17540, 17539])).
% 73.28/46.15 tff(17542,plain,
% 73.28/46.15 ((~v90(constB118, bitIndex1)) | (~v100(constB118))),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17541, 603, 17535])).
% 73.28/46.15 tff(17543,plain,
% 73.28/46.15 (~v90(constB118, bitIndex1)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17542, 17469])).
% 73.28/46.15 tff(17544,plain,
% 73.28/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1)))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17545,plain,
% 73.28/46.15 (((~nextState(constB118, constB119)) | v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1))) <=> (v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1)))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17546,plain,
% 73.28/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1))))),
% 73.28/46.15 inference(monotonicity,[status(thm)],[17545])).
% 73.28/46.15 tff(17547,plain,
% 73.28/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1)))),
% 73.28/46.15 inference(transitivity,[status(thm)],[17546, 17544])).
% 73.28/46.15 tff(17548,plain,
% 73.28/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB118, constB119)) | v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1)))),
% 73.28/46.15 inference(quant_inst,[status(thm)],[])).
% 73.28/46.15 tff(17549,plain,
% 73.28/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex1))),
% 73.28/46.15 inference(modus_ponens,[status(thm)],[17548, 17547])).
% 73.28/46.15 tff(17550,plain,
% 73.28/46.15 (v90(constB118, bitIndex1) | v100(constB119) | (~v90(constB119, bitIndex1))),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17549, 109, 17497])).
% 73.28/46.15 tff(17551,plain,
% 73.28/46.15 (v90(constB118, bitIndex1) | (~v90(constB119, bitIndex1))),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17550, 17509])).
% 73.28/46.15 tff(17552,plain,
% 73.28/46.15 (~v90(constB119, bitIndex1)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17551, 17543])).
% 73.28/46.15 tff(17553,plain,
% 73.28/46.15 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB117)) | v130(constB117, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB117)) | v130(constB117, bitIndex0))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17554,plain,
% 73.28/46.15 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB117)) | v130(constB117, bitIndex0))),
% 73.28/46.15 inference(quant_inst,[status(thm)],[])).
% 73.28/46.15 tff(17555,plain,
% 73.28/46.15 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB117)) | v130(constB117, bitIndex0)),
% 73.28/46.15 inference(modus_ponens,[status(thm)],[17554, 17553])).
% 73.28/46.15 tff(17556,plain,
% 73.28/46.15 (v130(constB117, bitIndex0)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17555, 1666, 17404])).
% 73.28/46.15 tff(17557,plain,
% 73.28/46.15 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB117) | (~v130(constB117, bitIndex0)) | v127(constB117, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB117) | (~v130(constB117, bitIndex0)) | v127(constB117, bitIndex0))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17558,plain,
% 73.28/46.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB117) | (~v130(constB117, bitIndex0)) | v127(constB117, bitIndex0))),
% 73.28/46.15 inference(quant_inst,[status(thm)],[])).
% 73.28/46.15 tff(17559,plain,
% 73.28/46.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB117) | (~v130(constB117, bitIndex0)) | v127(constB117, bitIndex0)),
% 73.28/46.15 inference(modus_ponens,[status(thm)],[17558, 17557])).
% 73.28/46.15 tff(17560,plain,
% 73.28/46.15 ((~v130(constB117, bitIndex0)) | v127(constB117, bitIndex0)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17559, 179, 17420])).
% 73.28/46.15 tff(17561,plain,
% 73.28/46.15 (v127(constB117, bitIndex0)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17560, 17556])).
% 73.28/46.15 tff(17562,plain,
% 73.28/46.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex0)) | v129(constB118, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex0)) | v129(constB118, bitIndex0))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17563,plain,
% 73.28/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex0)) | v129(constB118, bitIndex0))),
% 73.28/46.15 inference(quant_inst,[status(thm)],[])).
% 73.28/46.15 tff(17564,plain,
% 73.28/46.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex0)) | v129(constB118, bitIndex0)),
% 73.28/46.15 inference(modus_ponens,[status(thm)],[17563, 17562])).
% 73.28/46.15 tff(17565,plain,
% 73.28/46.15 ((~v127(constB117, bitIndex0)) | v129(constB118, bitIndex0)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17564, 197, 17435])).
% 73.28/46.15 tff(17566,plain,
% 73.28/46.15 (v129(constB118, bitIndex0)),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17565, 17561])).
% 73.28/46.15 tff(17567,plain,
% 73.28/46.15 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118)))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17568,plain,
% 73.28/46.15 ((v90(constB118, bitIndex0) | (~v100(constB118)) | (~v129(constB118, bitIndex0))) <=> (v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118)))),
% 73.28/46.15 inference(rewrite,[status(thm)],[])).
% 73.28/46.15 tff(17569,plain,
% 73.28/46.15 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~v100(constB118)) | (~v129(constB118, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118))))),
% 73.28/46.15 inference(monotonicity,[status(thm)],[17568])).
% 73.28/46.15 tff(17570,plain,
% 73.28/46.15 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~v100(constB118)) | (~v129(constB118, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118)))),
% 73.28/46.15 inference(transitivity,[status(thm)],[17569, 17567])).
% 73.28/46.15 tff(17571,plain,
% 73.28/46.15 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~v100(constB118)) | (~v129(constB118, bitIndex0)))),
% 73.28/46.15 inference(quant_inst,[status(thm)],[])).
% 73.28/46.15 tff(17572,plain,
% 73.28/46.15 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118))),
% 73.28/46.15 inference(modus_ponens,[status(thm)],[17571, 17570])).
% 73.28/46.15 tff(17573,plain,
% 73.28/46.15 (v90(constB118, bitIndex0) | (~v100(constB118))),
% 73.28/46.15 inference(unit_resolution,[status(thm)],[17572, 401, 17566])).
% 73.28/46.16 tff(17574,plain,
% 73.28/46.16 (v90(constB118, bitIndex0)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17573, 17469])).
% 73.28/46.16 tff(17575,plain,
% 73.28/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex0))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17576,plain,
% 73.28/46.16 (((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex0)) | v100(constB119) | v90(constB119, bitIndex0)) <=> ((~v90(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex0))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17577,plain,
% 73.28/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex0)) | v100(constB119) | v90(constB119, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex0)))),
% 73.28/46.16 inference(monotonicity,[status(thm)],[17576])).
% 73.28/46.16 tff(17578,plain,
% 73.28/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex0)) | v100(constB119) | v90(constB119, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex0))),
% 73.28/46.16 inference(transitivity,[status(thm)],[17577, 17575])).
% 73.28/46.16 tff(17579,plain,
% 73.28/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex0)) | v100(constB119) | v90(constB119, bitIndex0))),
% 73.28/46.16 inference(quant_inst,[status(thm)],[])).
% 73.28/46.16 tff(17580,plain,
% 73.28/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex0)),
% 73.28/46.16 inference(modus_ponens,[status(thm)],[17579, 17578])).
% 73.28/46.16 tff(17581,plain,
% 73.28/46.16 ((~v90(constB118, bitIndex0)) | v100(constB119) | v90(constB119, bitIndex0)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17580, 437, 17497])).
% 73.28/46.16 tff(17582,plain,
% 73.28/46.16 ((~v90(constB118, bitIndex0)) | v90(constB119, bitIndex0)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17581, 17509])).
% 73.28/46.16 tff(17583,plain,
% 73.28/46.16 (v90(constB119, bitIndex0)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17582, 17574])).
% 73.28/46.16 tff(17584,plain,
% 73.28/46.16 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v124(constB119))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v124(constB119))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17585,plain,
% 73.28/46.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v124(constB119))),
% 73.28/46.16 inference(quant_inst,[status(thm)],[])).
% 73.28/46.16 tff(17586,plain,
% 73.28/46.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v124(constB119)),
% 73.28/46.16 inference(modus_ponens,[status(thm)],[17585, 17584])).
% 73.28/46.16 tff(17587,plain,
% 73.28/46.16 (v124(constB119)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17586, 1707, 17583, 17552, 17518])).
% 73.28/46.16 tff(17588,plain,
% 73.28/46.16 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB119)) | v130(constB119, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB119)) | v130(constB119, bitIndex1))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17589,plain,
% 73.28/46.16 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB119)) | v130(constB119, bitIndex1))),
% 73.28/46.16 inference(quant_inst,[status(thm)],[])).
% 73.28/46.16 tff(17590,plain,
% 73.28/46.16 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB119)) | v130(constB119, bitIndex1)),
% 73.28/46.16 inference(modus_ponens,[status(thm)],[17589, 17588])).
% 73.28/46.16 tff(17591,plain,
% 73.28/46.16 (v130(constB119, bitIndex1)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17590, 1867, 17587])).
% 73.28/46.16 tff(17592,assumption,(v26(constB119)), introduced(assumption)).
% 73.28/46.16 tff(17593,plain,
% 73.28/46.16 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB119))),
% 73.28/46.16 inference(quant_inst,[status(thm)],[])).
% 73.28/46.16 tff(17594,plain,
% 73.28/46.16 ($false),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17593, 37, 17592])).
% 73.28/46.16 tff(17595,plain,(~v26(constB119)), inference(lemma,lemma(discharge,[]))).
% 73.28/46.16 tff(17596,plain,
% 73.28/46.16 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17597,plain,
% 73.28/46.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1))),
% 73.28/46.16 inference(quant_inst,[status(thm)],[])).
% 73.28/46.16 tff(17598,plain,
% 73.28/46.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1)),
% 73.28/46.16 inference(modus_ponens,[status(thm)],[17597, 17596])).
% 73.28/46.16 tff(17599,plain,
% 73.28/46.16 ((~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17598, 824, 17595])).
% 73.28/46.16 tff(17600,plain,
% 73.28/46.16 (v127(constB119, bitIndex1)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17599, 17591])).
% 73.28/46.16 tff(17601,plain,
% 73.28/46.16 (nextState(constB119, constB120) <=> nextState(constB119, constB120)),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17602,axiom,(nextState(constB119, constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_119_1')).
% 73.28/46.16 tff(17603,plain,
% 73.28/46.16 (nextState(constB119, constB120)),
% 73.28/46.16 inference(modus_ponens,[status(thm)],[17602, 17601])).
% 73.28/46.16 tff(17604,plain,
% 73.28/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17605,plain,
% 73.28/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1))),
% 73.28/46.16 inference(quant_inst,[status(thm)],[])).
% 73.28/46.16 tff(17606,plain,
% 73.28/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1)),
% 73.28/46.16 inference(modus_ponens,[status(thm)],[17605, 17604])).
% 73.28/46.16 tff(17607,plain,
% 73.28/46.16 ((~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17606, 839, 17603])).
% 73.28/46.16 tff(17608,plain,
% 73.28/46.16 (v129(constB120, bitIndex1)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17607, 17600])).
% 73.28/46.16 tff(17609,assumption,(~v90(constB119, bitIndex1)), introduced(assumption)).
% 73.28/46.16 tff(17610,assumption,(~v100(constB120)), introduced(assumption)).
% 73.28/46.16 tff(17611,assumption,(~v90(constB120, bitIndex2)), introduced(assumption)).
% 73.28/46.16 tff(17612,plain,
% 73.28/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB119, bitIndex2)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB119, bitIndex2)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex2))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17613,plain,
% 73.28/46.16 (((~nextState(constB119, constB120)) | (~v90(constB119, bitIndex2)) | v100(constB120) | v90(constB120, bitIndex2)) <=> ((~v90(constB119, bitIndex2)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex2))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17614,plain,
% 73.28/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB119, constB120)) | (~v90(constB119, bitIndex2)) | v100(constB120) | v90(constB120, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB119, bitIndex2)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex2)))),
% 73.28/46.16 inference(monotonicity,[status(thm)],[17613])).
% 73.28/46.16 tff(17615,plain,
% 73.28/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB119, constB120)) | (~v90(constB119, bitIndex2)) | v100(constB120) | v90(constB120, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB119, bitIndex2)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex2))),
% 73.28/46.16 inference(transitivity,[status(thm)],[17614, 17612])).
% 73.28/46.16 tff(17616,plain,
% 73.28/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB119, constB120)) | (~v90(constB119, bitIndex2)) | v100(constB120) | v90(constB120, bitIndex2))),
% 73.28/46.16 inference(quant_inst,[status(thm)],[])).
% 73.28/46.16 tff(17617,plain,
% 73.28/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB119, bitIndex2)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, bitIndex2)),
% 73.28/46.16 inference(modus_ponens,[status(thm)],[17616, 17615])).
% 73.28/46.16 tff(17618,plain,
% 73.28/46.16 ((~v90(constB119, bitIndex2)) | v100(constB120) | v90(constB120, bitIndex2)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17617, 1370, 17603])).
% 73.28/46.16 tff(17619,plain,
% 73.28/46.16 (~v90(constB119, bitIndex2)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17618, 17611, 17610])).
% 73.28/46.16 tff(17620,plain,
% 73.28/46.16 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17621,plain,
% 73.28/46.16 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))),
% 73.28/46.16 inference(quant_inst,[status(thm)],[])).
% 73.28/46.16 tff(17622,plain,
% 73.28/46.16 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120))),
% 73.28/46.16 inference(modus_ponens,[status(thm)],[17621, 17620])).
% 73.28/46.16 tff(17623,plain,
% 73.28/46.16 (~v104(constB120)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17622, 335, 17603, 17494])).
% 73.28/46.16 tff(17624,plain,
% 73.28/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17625,plain,
% 73.28/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))),
% 73.28/46.16 inference(quant_inst,[status(thm)],[])).
% 73.28/46.16 tff(17626,plain,
% 73.28/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v102(constB120) | v104(constB120)),
% 73.28/46.16 inference(modus_ponens,[status(thm)],[17625, 17624])).
% 73.28/46.16 tff(17627,plain,
% 73.28/46.16 (v102(constB120) | v104(constB120)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17626, 349, 17603])).
% 73.28/46.16 tff(17628,plain,
% 73.28/46.16 (v102(constB120)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17627, 17623])).
% 73.28/46.16 tff(17629,plain,
% 73.28/46.16 (v1(constB120) <=> v1(constB120)),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17630,axiom,(v1(constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_120_1')).
% 73.28/46.16 tff(17631,plain,
% 73.28/46.16 (v1(constB120)),
% 73.28/46.16 inference(modus_ponens,[status(thm)],[17630, 17629])).
% 73.28/46.16 tff(17632,plain,
% 73.28/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17633,plain,
% 73.28/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))),
% 73.28/46.16 inference(quant_inst,[status(thm)],[])).
% 73.28/46.16 tff(17634,plain,
% 73.28/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120))),
% 73.28/46.16 inference(modus_ponens,[status(thm)],[17633, 17632])).
% 73.28/46.16 tff(17635,plain,
% 73.28/46.16 (v101(constB120) | (~v102(constB120))),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17634, 367, 17603, 17631])).
% 73.28/46.16 tff(17636,plain,
% 73.28/46.16 (v101(constB120)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17635, 17628])).
% 73.28/46.16 tff(17637,plain,
% 73.28/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17638,plain,
% 73.28/46.16 (((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120)) <=> ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17639,plain,
% 73.28/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120))))),
% 73.28/46.16 inference(monotonicity,[status(thm)],[17638])).
% 73.28/46.16 tff(17640,plain,
% 73.28/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 73.28/46.16 inference(transitivity,[status(thm)],[17639, 17637])).
% 73.28/46.16 tff(17641,plain,
% 73.28/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))),
% 73.28/46.16 inference(quant_inst,[status(thm)],[])).
% 73.28/46.16 tff(17642,plain,
% 73.28/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120))),
% 73.28/46.16 inference(modus_ponens,[status(thm)],[17641, 17640])).
% 73.28/46.16 tff(17643,plain,
% 73.28/46.16 (v100(constB120) | (~v101(constB120)) | (~v110(constB120))),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17642, 382, 17603])).
% 73.28/46.16 tff(17644,plain,
% 73.28/46.16 (v100(constB120) | (~v110(constB120))),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17643, 17636])).
% 73.28/46.16 tff(17645,plain,
% 73.28/46.16 (~v110(constB120)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17644, 17610])).
% 73.28/46.16 tff(17646,plain,
% 73.28/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17647,plain,
% 73.28/46.16 (((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120)) <=> ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17648,plain,
% 73.28/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119))))),
% 73.28/46.16 inference(monotonicity,[status(thm)],[17647])).
% 73.28/46.16 tff(17649,plain,
% 73.28/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 73.28/46.16 inference(transitivity,[status(thm)],[17648, 17646])).
% 73.28/46.16 tff(17650,plain,
% 73.28/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))),
% 73.28/46.16 inference(quant_inst,[status(thm)],[])).
% 73.28/46.16 tff(17651,plain,
% 73.28/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119))),
% 73.28/46.16 inference(modus_ponens,[status(thm)],[17650, 17649])).
% 73.28/46.16 tff(17652,plain,
% 73.28/46.16 (v110(constB120) | (~v108(constB119))),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17651, 317, 17603])).
% 73.28/46.16 tff(17653,plain,
% 73.28/46.16 (~v108(constB119)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17652, 17645])).
% 73.28/46.16 tff(17654,plain,
% 73.28/46.16 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB119) | (~v112(constB119)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB119) | (~v112(constB119)))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17655,plain,
% 73.28/46.16 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB119) | (~v112(constB119)))),
% 73.28/46.16 inference(quant_inst,[status(thm)],[])).
% 73.28/46.16 tff(17656,plain,
% 73.28/46.16 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB119) | (~v112(constB119))),
% 73.28/46.16 inference(modus_ponens,[status(thm)],[17655, 17654])).
% 73.28/46.16 tff(17657,plain,
% 73.28/46.16 (~v112(constB119)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17656, 210, 17653])).
% 73.28/46.16 tff(17658,plain,
% 73.28/46.16 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | (~v113(constB119)) | v112(constB119))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB119) | (~v113(constB119)) | v112(constB119))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17659,plain,
% 73.28/46.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | (~v113(constB119)) | v112(constB119))),
% 73.28/46.16 inference(quant_inst,[status(thm)],[])).
% 73.28/46.16 tff(17660,plain,
% 73.28/46.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB119) | (~v113(constB119)) | v112(constB119)),
% 73.28/46.16 inference(modus_ponens,[status(thm)],[17659, 17658])).
% 73.28/46.16 tff(17661,plain,
% 73.28/46.16 ((~v113(constB119)) | v112(constB119)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17660, 301, 17595])).
% 73.28/46.16 tff(17662,plain,
% 73.28/46.16 (~v113(constB119)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17661, 17657])).
% 73.28/46.16 tff(17663,plain,
% 73.28/46.16 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB119) | (~v114(constB119)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB119) | (~v114(constB119)))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17664,plain,
% 73.28/46.16 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB119) | (~v114(constB119)))),
% 73.28/46.16 inference(quant_inst,[status(thm)],[])).
% 73.28/46.16 tff(17665,plain,
% 73.28/46.16 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB119) | (~v114(constB119))),
% 73.28/46.16 inference(modus_ponens,[status(thm)],[17664, 17663])).
% 73.28/46.16 tff(17666,plain,
% 73.28/46.16 (~v114(constB119)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17665, 287, 17662])).
% 73.28/46.16 tff(17667,plain,
% 73.28/46.16 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB119) | (~v115(constB119)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB119) | (~v115(constB119)))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17668,plain,
% 73.28/46.16 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB119) | (~v115(constB119)))),
% 73.28/46.16 inference(quant_inst,[status(thm)],[])).
% 73.28/46.16 tff(17669,plain,
% 73.28/46.16 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB119) | (~v115(constB119))),
% 73.28/46.16 inference(modus_ponens,[status(thm)],[17668, 17667])).
% 73.28/46.16 tff(17670,plain,
% 73.28/46.16 (~v115(constB119)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17669, 276, 17666])).
% 73.28/46.16 tff(17671,assumption,(~v90(constB119, bitIndex0)), introduced(assumption)).
% 73.28/46.16 tff(17672,plain,
% 73.28/46.16 (~v90(constB119, bitIndex2)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17618, 17610, 17611])).
% 73.28/46.16 tff(17673,plain,
% 73.28/46.16 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB119) | v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB119) | v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17674,plain,
% 73.28/46.16 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB119) | v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2))),
% 73.28/46.16 inference(quant_inst,[status(thm)],[])).
% 73.28/46.16 tff(17675,plain,
% 73.28/46.16 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB119) | v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2)),
% 73.28/46.16 inference(modus_ponens,[status(thm)],[17674, 17673])).
% 73.28/46.16 tff(17676,plain,
% 73.28/46.16 (v119(constB119) | v90(constB119, bitIndex0) | v90(constB119, bitIndex2)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17675, 151, 17609])).
% 73.28/46.16 tff(17677,plain,
% 73.28/46.16 (v119(constB119)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17676, 17672, 17671])).
% 73.28/46.16 tff(17678,plain,
% 73.28/46.16 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB119) | (~v119(constB119)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB119) | (~v119(constB119)))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17679,plain,
% 73.28/46.16 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB119) | (~v119(constB119)))),
% 73.28/46.16 inference(quant_inst,[status(thm)],[])).
% 73.28/46.16 tff(17680,plain,
% 73.28/46.16 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB119) | (~v119(constB119))),
% 73.28/46.16 inference(modus_ponens,[status(thm)],[17679, 17678])).
% 73.28/46.16 tff(17681,plain,
% 73.28/46.16 (v118(constB119)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17680, 232, 17677])).
% 73.28/46.16 tff(17682,plain,
% 73.28/46.16 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB119) | (~v118(constB119)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB119) | (~v118(constB119)))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17683,plain,
% 73.28/46.16 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB119) | (~v118(constB119)))),
% 73.28/46.16 inference(quant_inst,[status(thm)],[])).
% 73.28/46.16 tff(17684,plain,
% 73.28/46.16 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB119) | (~v118(constB119))),
% 73.28/46.16 inference(modus_ponens,[status(thm)],[17683, 17682])).
% 73.28/46.16 tff(17685,plain,
% 73.28/46.16 (v117(constB119)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17684, 243, 17681])).
% 73.28/46.16 tff(17686,plain,
% 73.28/46.16 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB119) | (~v117(constB119)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB119) | (~v117(constB119)))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17687,plain,
% 73.28/46.16 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB119) | (~v117(constB119)))),
% 73.28/46.16 inference(quant_inst,[status(thm)],[])).
% 73.28/46.16 tff(17688,plain,
% 73.28/46.16 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB119) | (~v117(constB119))),
% 73.28/46.16 inference(modus_ponens,[status(thm)],[17687, 17686])).
% 73.28/46.16 tff(17689,plain,
% 73.28/46.16 (v116(constB119)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17688, 254, 17685])).
% 73.28/46.16 tff(17690,plain,
% 73.28/46.16 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB119) | (~v116(constB119)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB119) | (~v116(constB119)))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17691,plain,
% 73.28/46.16 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB119) | (~v116(constB119)))),
% 73.28/46.16 inference(quant_inst,[status(thm)],[])).
% 73.28/46.16 tff(17692,plain,
% 73.28/46.16 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB119) | (~v116(constB119))),
% 73.28/46.16 inference(modus_ponens,[status(thm)],[17691, 17690])).
% 73.28/46.16 tff(17693,plain,
% 73.28/46.16 ($false),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17692, 265, 17689, 17670])).
% 73.28/46.16 tff(17694,plain,(v100(constB120) | v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | v90(constB120, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 73.28/46.16 tff(17695,plain,
% 73.28/46.16 (v90(constB119, bitIndex0)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17694, 17611, 17610, 17609])).
% 73.28/46.16 tff(17696,plain,
% 73.28/46.16 (~v116(constB119)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17692, 265, 17670])).
% 73.28/46.16 tff(17697,plain,
% 73.28/46.16 (~v117(constB119)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17688, 254, 17696])).
% 73.28/46.16 tff(17698,plain,
% 73.28/46.16 (~v118(constB119)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17684, 243, 17697])).
% 73.28/46.16 tff(17699,plain,
% 73.28/46.16 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB119) | (~v120(constB119)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB119) | (~v120(constB119)))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17700,plain,
% 73.28/46.16 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB119) | (~v120(constB119)))),
% 73.28/46.16 inference(quant_inst,[status(thm)],[])).
% 73.28/46.16 tff(17701,plain,
% 73.28/46.16 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB119) | (~v120(constB119))),
% 73.28/46.16 inference(modus_ponens,[status(thm)],[17700, 17699])).
% 73.28/46.16 tff(17702,plain,
% 73.28/46.16 (~v120(constB119)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17701, 646, 17698])).
% 73.28/46.16 tff(17703,plain,
% 73.28/46.16 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v120(constB119))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v120(constB119))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17704,plain,
% 73.28/46.16 (((~v90(constB119, bitIndex0)) | v120(constB119) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2)) <=> ((~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v120(constB119))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17705,plain,
% 73.28/46.16 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB119, bitIndex0)) | v120(constB119) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v120(constB119)))),
% 73.28/46.16 inference(monotonicity,[status(thm)],[17704])).
% 73.28/46.16 tff(17706,plain,
% 73.28/46.16 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB119, bitIndex0)) | v120(constB119) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v120(constB119))),
% 73.28/46.16 inference(transitivity,[status(thm)],[17705, 17703])).
% 73.28/46.16 tff(17707,plain,
% 73.28/46.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB119, bitIndex0)) | v120(constB119) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2))),
% 73.28/46.16 inference(quant_inst,[status(thm)],[])).
% 73.28/46.16 tff(17708,plain,
% 73.28/46.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2) | v120(constB119)),
% 73.28/46.16 inference(modus_ponens,[status(thm)],[17707, 17706])).
% 73.28/46.16 tff(17709,plain,
% 73.28/46.16 ((~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | v90(constB119, bitIndex2)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17708, 631, 17702])).
% 73.28/46.16 tff(17710,plain,
% 73.28/46.16 ($false),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17709, 17695, 17619, 17609])).
% 73.28/46.16 tff(17711,plain,(v90(constB120, bitIndex2) | v90(constB119, bitIndex1) | v100(constB120)), inference(lemma,lemma(discharge,[]))).
% 73.28/46.16 tff(17712,plain,
% 73.28/46.16 (v90(constB120, bitIndex2)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17711, 17609, 17610])).
% 73.28/46.16 tff(17713,plain,
% 73.28/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB119, bitIndex2) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB119, bitIndex2) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex2)))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17714,plain,
% 73.28/46.16 (((~nextState(constB119, constB120)) | v90(constB119, bitIndex2) | v100(constB120) | (~v90(constB120, bitIndex2))) <=> (v90(constB119, bitIndex2) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex2)))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17715,plain,
% 73.28/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB119, constB120)) | v90(constB119, bitIndex2) | v100(constB120) | (~v90(constB120, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB119, bitIndex2) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex2))))),
% 73.28/46.16 inference(monotonicity,[status(thm)],[17714])).
% 73.28/46.16 tff(17716,plain,
% 73.28/46.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB119, constB120)) | v90(constB119, bitIndex2) | v100(constB120) | (~v90(constB120, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB119, bitIndex2) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex2)))),
% 73.28/46.16 inference(transitivity,[status(thm)],[17715, 17713])).
% 73.28/46.16 tff(17717,plain,
% 73.28/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB119, constB120)) | v90(constB119, bitIndex2) | v100(constB120) | (~v90(constB120, bitIndex2)))),
% 73.28/46.16 inference(quant_inst,[status(thm)],[])).
% 73.28/46.16 tff(17718,plain,
% 73.28/46.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB119, bitIndex2) | (~nextState(constB119, constB120)) | v100(constB120) | (~v90(constB120, bitIndex2))),
% 73.28/46.16 inference(modus_ponens,[status(thm)],[17717, 17716])).
% 73.28/46.16 tff(17719,plain,
% 73.28/46.16 (v90(constB119, bitIndex2) | v100(constB120) | (~v90(constB120, bitIndex2))),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17718, 88, 17603])).
% 73.28/46.16 tff(17720,plain,
% 73.28/46.16 (v90(constB119, bitIndex2)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17719, 17712, 17610])).
% 73.28/46.16 tff(17721,plain,
% 73.28/46.16 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB119) | (~v124(constB119)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB119) | (~v124(constB119)))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.16 tff(17722,plain,
% 73.28/46.16 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB119) | (~v124(constB119)))),
% 73.28/46.16 inference(quant_inst,[status(thm)],[])).
% 73.28/46.16 tff(17723,plain,
% 73.28/46.16 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB119) | (~v124(constB119))),
% 73.28/46.16 inference(modus_ponens,[status(thm)],[17722, 17721])).
% 73.28/46.16 tff(17724,plain,
% 73.28/46.16 (~v124(constB119)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17723, 1718, 17666])).
% 73.28/46.16 tff(17725,plain,
% 73.28/46.16 ((~v90(constB119, bitIndex0)) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2))),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17586, 1707, 17724])).
% 73.28/46.16 tff(17726,plain,
% 73.28/46.16 (~v90(constB119, bitIndex0)),
% 73.28/46.16 inference(unit_resolution,[status(thm)],[17725, 17720, 17609])).
% 73.28/46.16 tff(17727,plain,
% 73.28/46.16 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB119) | (~v123(constB119)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB119) | (~v123(constB119)))),
% 73.28/46.16 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17728,plain,
% 73.28/46.17 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB119) | (~v123(constB119)))),
% 73.28/46.17 inference(quant_inst,[status(thm)],[])).
% 73.28/46.17 tff(17729,plain,
% 73.28/46.17 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB119) | (~v123(constB119))),
% 73.28/46.17 inference(modus_ponens,[status(thm)],[17728, 17727])).
% 73.28/46.17 tff(17730,plain,
% 73.28/46.17 (~v123(constB119)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17729, 1488, 17670])).
% 73.28/46.17 tff(17731,plain,
% 73.28/46.17 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v123(constB119))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v123(constB119))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17732,plain,
% 73.28/46.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v123(constB119))),
% 73.28/46.17 inference(quant_inst,[status(thm)],[])).
% 73.28/46.17 tff(17733,plain,
% 73.28/46.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | v123(constB119)),
% 73.28/46.17 inference(modus_ponens,[status(thm)],[17732, 17731])).
% 73.28/46.17 tff(17734,plain,
% 73.28/46.17 (v90(constB119, bitIndex0) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2))),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17733, 1477, 17730])).
% 73.28/46.17 tff(17735,plain,
% 73.28/46.17 ($false),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17734, 17726, 17720, 17609])).
% 73.28/46.17 tff(17736,plain,(v90(constB119, bitIndex1) | v100(constB120)), inference(lemma,lemma(discharge,[]))).
% 73.28/46.17 tff(17737,plain,
% 73.28/46.17 (v100(constB120)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17736, 17552])).
% 73.28/46.17 tff(17738,plain,
% 73.28/46.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17739,plain,
% 73.28/46.17 ((v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1))) <=> (v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17740,plain,
% 73.28/46.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120))))),
% 73.28/46.17 inference(monotonicity,[status(thm)],[17739])).
% 73.28/46.17 tff(17741,plain,
% 73.28/46.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))),
% 73.28/46.17 inference(transitivity,[status(thm)],[17740, 17738])).
% 73.28/46.17 tff(17742,plain,
% 73.28/46.17 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1)))),
% 73.28/46.17 inference(quant_inst,[status(thm)],[])).
% 73.28/46.17 tff(17743,plain,
% 73.28/46.17 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120))),
% 73.28/46.17 inference(modus_ponens,[status(thm)],[17742, 17741])).
% 73.28/46.17 tff(17744,plain,
% 73.28/46.17 (v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1))),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17743, 854, 17737])).
% 73.28/46.17 tff(17745,plain,
% 73.28/46.17 (v90(constB120, bitIndex1)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17744, 17608])).
% 73.28/46.17 tff(17746,plain,
% 73.28/46.17 ((~v1(constB121)) <=> (~v1(constB121))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17747,axiom,(~v1(constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_121_1_1')).
% 73.28/46.17 tff(17748,plain,
% 73.28/46.17 (~v1(constB121)),
% 73.28/46.17 inference(modus_ponens,[status(thm)],[17747, 17746])).
% 73.28/46.17 tff(17749,plain,
% 73.28/46.17 (nextState(constB120, constB121) <=> nextState(constB120, constB121)),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17750,axiom,(nextState(constB120, constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_120_1')).
% 73.28/46.17 tff(17751,plain,
% 73.28/46.17 (nextState(constB120, constB121)),
% 73.28/46.17 inference(modus_ponens,[status(thm)],[17750, 17749])).
% 73.28/46.17 tff(17752,plain,
% 73.28/46.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17753,plain,
% 73.28/46.17 (((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121)) <=> (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17754,plain,
% 73.28/46.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121))))),
% 73.28/46.17 inference(monotonicity,[status(thm)],[17753])).
% 73.28/46.17 tff(17755,plain,
% 73.28/46.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 73.28/46.17 inference(transitivity,[status(thm)],[17754, 17752])).
% 73.28/46.17 tff(17756,plain,
% 73.28/46.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))),
% 73.28/46.17 inference(quant_inst,[status(thm)],[])).
% 73.28/46.17 tff(17757,plain,
% 73.28/46.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121))),
% 73.28/46.17 inference(modus_ponens,[status(thm)],[17756, 17755])).
% 73.28/46.17 tff(17758,plain,
% 73.28/46.17 (~v101(constB121)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17757, 56, 17751, 17748])).
% 73.28/46.17 tff(17759,plain,
% 73.28/46.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17760,plain,
% 73.28/46.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))),
% 73.28/46.17 inference(quant_inst,[status(thm)],[])).
% 73.28/46.17 tff(17761,plain,
% 73.28/46.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121))),
% 73.28/46.17 inference(modus_ponens,[status(thm)],[17760, 17759])).
% 73.28/46.17 tff(17762,plain,
% 73.28/46.17 (v101(constB121) | (~v100(constB121))),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17761, 73, 17751])).
% 73.28/46.17 tff(17763,plain,
% 73.28/46.17 (~v100(constB121)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17762, 17758])).
% 73.28/46.17 tff(17764,plain,
% 73.28/46.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17765,plain,
% 73.28/46.17 (((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1)) <=> ((~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17766,plain,
% 73.28/46.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1)))),
% 73.28/46.17 inference(monotonicity,[status(thm)],[17765])).
% 73.28/46.17 tff(17767,plain,
% 73.28/46.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))),
% 73.28/46.17 inference(transitivity,[status(thm)],[17766, 17764])).
% 73.28/46.17 tff(17768,plain,
% 73.28/46.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1))),
% 73.28/46.17 inference(quant_inst,[status(thm)],[])).
% 73.28/46.17 tff(17769,plain,
% 73.28/46.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1)),
% 73.28/46.17 inference(modus_ponens,[status(thm)],[17768, 17767])).
% 73.28/46.17 tff(17770,plain,
% 73.28/46.17 ((~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17769, 872, 17751])).
% 73.28/46.17 tff(17771,plain,
% 73.28/46.17 ((~v90(constB120, bitIndex1)) | v90(constB121, bitIndex1)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17770, 17763])).
% 73.28/46.17 tff(17772,plain,
% 73.28/46.17 (v90(constB121, bitIndex1)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17771, 17745])).
% 73.28/46.17 tff(17773,plain,
% 73.28/46.17 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB121, bitIndex1)) | (~v120(constB121)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB121, bitIndex1)) | (~v120(constB121)))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17774,plain,
% 73.28/46.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB121, bitIndex1)) | (~v120(constB121)))),
% 73.28/46.17 inference(quant_inst,[status(thm)],[])).
% 73.28/46.17 tff(17775,plain,
% 73.28/46.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB121, bitIndex1)) | (~v120(constB121))),
% 73.28/46.17 inference(modus_ponens,[status(thm)],[17774, 17773])).
% 73.28/46.17 tff(17776,plain,
% 73.28/46.17 (~v120(constB121)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17775, 1919, 17772])).
% 73.28/46.17 tff(17777,plain,
% 73.28/46.17 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB119)) | v130(constB119, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB119)) | v130(constB119, bitIndex2))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17778,plain,
% 73.28/46.17 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB119)) | v130(constB119, bitIndex2))),
% 73.28/46.17 inference(quant_inst,[status(thm)],[])).
% 73.28/46.17 tff(17779,plain,
% 73.28/46.17 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB119)) | v130(constB119, bitIndex2)),
% 73.28/46.17 inference(modus_ponens,[status(thm)],[17778, 17777])).
% 73.28/46.17 tff(17780,plain,
% 73.28/46.17 (v130(constB119, bitIndex2)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17779, 1786, 17587])).
% 73.28/46.17 tff(17781,plain,
% 73.28/46.17 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB119) | (~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB119) | (~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17782,plain,
% 73.28/46.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB119) | (~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2))),
% 73.28/46.17 inference(quant_inst,[status(thm)],[])).
% 73.28/46.17 tff(17783,plain,
% 73.28/46.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB119) | (~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2)),
% 73.28/46.17 inference(modus_ponens,[status(thm)],[17782, 17781])).
% 73.28/46.17 tff(17784,plain,
% 73.28/46.17 ((~v130(constB119, bitIndex2)) | v127(constB119, bitIndex2)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17783, 1304, 17595])).
% 73.28/46.17 tff(17785,plain,
% 73.28/46.17 (v127(constB119, bitIndex2)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17784, 17780])).
% 73.28/46.17 tff(17786,plain,
% 73.28/46.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17787,plain,
% 73.28/46.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2))),
% 73.28/46.17 inference(quant_inst,[status(thm)],[])).
% 73.28/46.17 tff(17788,plain,
% 73.28/46.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2)),
% 73.28/46.17 inference(modus_ponens,[status(thm)],[17787, 17786])).
% 73.28/46.17 tff(17789,plain,
% 73.28/46.17 ((~v127(constB119, bitIndex2)) | v129(constB120, bitIndex2)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17788, 1319, 17603])).
% 73.28/46.17 tff(17790,plain,
% 73.28/46.17 (v129(constB120, bitIndex2)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17789, 17785])).
% 73.28/46.17 tff(17791,plain,
% 73.28/46.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120)))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17792,plain,
% 73.28/46.17 ((v90(constB120, bitIndex2) | (~v100(constB120)) | (~v129(constB120, bitIndex2))) <=> (v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120)))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17793,plain,
% 73.28/46.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~v100(constB120)) | (~v129(constB120, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120))))),
% 73.28/46.17 inference(monotonicity,[status(thm)],[17792])).
% 73.28/46.17 tff(17794,plain,
% 73.28/46.17 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~v100(constB120)) | (~v129(constB120, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120)))),
% 73.28/46.17 inference(transitivity,[status(thm)],[17793, 17791])).
% 73.28/46.17 tff(17795,plain,
% 73.28/46.17 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB120, bitIndex2) | (~v100(constB120)) | (~v129(constB120, bitIndex2)))),
% 73.28/46.17 inference(quant_inst,[status(thm)],[])).
% 73.28/46.17 tff(17796,plain,
% 73.28/46.17 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2)) | (~v100(constB120))),
% 73.28/46.17 inference(modus_ponens,[status(thm)],[17795, 17794])).
% 73.28/46.17 tff(17797,plain,
% 73.28/46.17 (v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2))),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17796, 1334, 17737])).
% 73.28/46.17 tff(17798,plain,
% 73.28/46.17 (v90(constB120, bitIndex2)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17797, 17790])).
% 73.28/46.17 tff(17799,plain,
% 73.28/46.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17800,plain,
% 73.28/46.17 (((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2)) <=> ((~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17801,plain,
% 73.28/46.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2)))),
% 73.28/46.17 inference(monotonicity,[status(thm)],[17800])).
% 73.28/46.17 tff(17802,plain,
% 73.28/46.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2))),
% 73.28/46.17 inference(transitivity,[status(thm)],[17801, 17799])).
% 73.28/46.17 tff(17803,plain,
% 73.28/46.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2))),
% 73.28/46.17 inference(quant_inst,[status(thm)],[])).
% 73.28/46.17 tff(17804,plain,
% 73.28/46.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex2)),
% 73.28/46.17 inference(modus_ponens,[status(thm)],[17803, 17802])).
% 73.28/46.17 tff(17805,plain,
% 73.28/46.17 ((~v90(constB120, bitIndex2)) | v100(constB121) | v90(constB121, bitIndex2)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17804, 1370, 17751])).
% 73.28/46.17 tff(17806,plain,
% 73.28/46.17 ((~v90(constB120, bitIndex2)) | v90(constB121, bitIndex2)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17805, 17763])).
% 73.28/46.17 tff(17807,plain,
% 73.28/46.17 (v90(constB121, bitIndex2)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17806, 17798])).
% 73.28/46.17 tff(17808,plain,
% 73.28/46.17 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB121, bitIndex2)) | (~v122(constB121)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB121, bitIndex2)) | (~v122(constB121)))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17809,plain,
% 73.28/46.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB121, bitIndex2)) | (~v122(constB121)))),
% 73.28/46.17 inference(quant_inst,[status(thm)],[])).
% 73.28/46.17 tff(17810,plain,
% 73.28/46.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB121, bitIndex2)) | (~v122(constB121))),
% 73.28/46.17 inference(modus_ponens,[status(thm)],[17809, 17808])).
% 73.28/46.17 tff(17811,plain,
% 73.28/46.17 (~v122(constB121)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17810, 1853, 17807])).
% 73.28/46.17 tff(17812,plain,
% 73.28/46.17 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB121, bitIndex1)) | (~v123(constB121)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB121, bitIndex1)) | (~v123(constB121)))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17813,plain,
% 73.28/46.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB121, bitIndex1)) | (~v123(constB121)))),
% 73.28/46.17 inference(quant_inst,[status(thm)],[])).
% 73.28/46.17 tff(17814,plain,
% 73.28/46.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB121, bitIndex1)) | (~v123(constB121))),
% 73.28/46.17 inference(modus_ponens,[status(thm)],[17813, 17812])).
% 73.28/46.17 tff(17815,plain,
% 73.28/46.17 (~v123(constB121)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17814, 1930, 17772])).
% 73.28/46.17 tff(17816,assumption,(v123(constB117)), introduced(assumption)).
% 73.28/46.17 tff(17817,plain,
% 73.28/46.17 (v115(constB117)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17407, 1488, 17816])).
% 73.28/46.17 tff(17818,plain,
% 73.28/46.17 (v114(constB117)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17411, 276, 17817])).
% 73.28/46.17 tff(17819,plain,
% 73.28/46.17 (v113(constB117)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17415, 287, 17818])).
% 73.28/46.17 tff(17820,plain,
% 73.28/46.17 (v112(constB117)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17427, 17819])).
% 73.28/46.17 tff(17821,plain,
% 73.28/46.17 (v108(constB117)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17431, 210, 17820])).
% 73.28/46.17 tff(17822,plain,
% 73.28/46.17 (v110(constB118)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17442, 17821])).
% 73.28/46.17 tff(17823,plain,
% 73.28/46.17 (v100(constB118)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17468, 17822])).
% 73.28/46.17 tff(17824,plain,
% 73.28/46.17 (v130(constB117, bitIndex2)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17472, 1563, 17816])).
% 73.28/46.17 tff(17825,plain,
% 73.28/46.17 (v127(constB117, bitIndex2)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17477, 17824])).
% 73.28/46.17 tff(17826,plain,
% 73.28/46.17 (v129(constB118, bitIndex2)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17482, 17825])).
% 73.28/46.17 tff(17827,plain,
% 73.28/46.17 (v90(constB118, bitIndex2) | (~v100(constB118))),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17489, 1334, 17826])).
% 73.28/46.17 tff(17828,plain,
% 73.28/46.17 (v90(constB118, bitIndex2)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17827, 17823])).
% 73.28/46.17 tff(17829,plain,
% 73.28/46.17 (v90(constB119, bitIndex2)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17517, 17828])).
% 73.28/46.17 tff(17830,plain,
% 73.28/46.17 (~v130(constB117, bitIndex1)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17521, 1622, 17816])).
% 73.28/46.17 tff(17831,plain,
% 73.28/46.17 (~v127(constB117, bitIndex1)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17529, 17830])).
% 73.28/46.17 tff(17832,plain,
% 73.28/46.17 (~v129(constB118, bitIndex1)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17534, 17831])).
% 73.28/46.17 tff(17833,plain,
% 73.28/46.17 ((~v90(constB118, bitIndex1)) | (~v100(constB118))),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17541, 603, 17832])).
% 73.28/46.17 tff(17834,plain,
% 73.28/46.17 (~v90(constB118, bitIndex1)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17833, 17823])).
% 73.28/46.17 tff(17835,plain,
% 73.28/46.17 (~v90(constB119, bitIndex1)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17551, 17834])).
% 73.28/46.17 tff(17836,plain,
% 73.28/46.17 (v130(constB117, bitIndex0)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17555, 1666, 17816])).
% 73.28/46.17 tff(17837,plain,
% 73.28/46.17 (v127(constB117, bitIndex0)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17560, 17836])).
% 73.28/46.17 tff(17838,plain,
% 73.28/46.17 (v129(constB118, bitIndex0)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17565, 17837])).
% 73.28/46.17 tff(17839,plain,
% 73.28/46.17 (v90(constB118, bitIndex0) | (~v100(constB118))),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17572, 401, 17838])).
% 73.28/46.17 tff(17840,plain,
% 73.28/46.17 (v90(constB118, bitIndex0)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17839, 17823])).
% 73.28/46.17 tff(17841,plain,
% 73.28/46.17 (v90(constB119, bitIndex0)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17582, 17840])).
% 73.28/46.17 tff(17842,plain,
% 73.28/46.17 (v124(constB119)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17586, 1707, 17841, 17835, 17829])).
% 73.28/46.17 tff(17843,plain,
% 73.28/46.17 (v130(constB119, bitIndex2)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17779, 1786, 17842])).
% 73.28/46.17 tff(17844,plain,
% 73.28/46.17 (v127(constB119, bitIndex2)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17784, 17843])).
% 73.28/46.17 tff(17845,plain,
% 73.28/46.17 (v129(constB120, bitIndex2)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17789, 17844])).
% 73.28/46.17 tff(17846,plain,
% 73.28/46.17 (v100(constB120)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17736, 17835])).
% 73.28/46.17 tff(17847,plain,
% 73.28/46.17 (v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2))),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17796, 1334, 17846])).
% 73.28/46.17 tff(17848,plain,
% 73.28/46.17 (v90(constB120, bitIndex2)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17847, 17845])).
% 73.28/46.17 tff(17849,plain,
% 73.28/46.17 (v90(constB121, bitIndex2)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17806, 17848])).
% 73.28/46.17 tff(17850,plain,
% 73.28/46.17 (v130(constB119, bitIndex1)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17590, 1867, 17842])).
% 73.28/46.17 tff(17851,plain,
% 73.28/46.17 (v127(constB119, bitIndex1)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17599, 17850])).
% 73.28/46.17 tff(17852,plain,
% 73.28/46.17 (v129(constB120, bitIndex1)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17607, 17851])).
% 73.28/46.17 tff(17853,plain,
% 73.28/46.17 (v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1))),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17743, 854, 17846])).
% 73.28/46.17 tff(17854,plain,
% 73.28/46.17 (v90(constB120, bitIndex1)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17853, 17852])).
% 73.28/46.17 tff(17855,plain,
% 73.28/46.17 (v90(constB121, bitIndex1)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17771, 17854])).
% 73.28/46.17 tff(17856,plain,
% 73.28/46.17 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB119)) | (~v130(constB119, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB119)) | (~v130(constB119, bitIndex0)))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17857,plain,
% 73.28/46.17 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB119)) | (~v130(constB119, bitIndex0)))),
% 73.28/46.17 inference(quant_inst,[status(thm)],[])).
% 73.28/46.17 tff(17858,plain,
% 73.28/46.17 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB119)) | (~v130(constB119, bitIndex0))),
% 73.28/46.17 inference(modus_ponens,[status(thm)],[17857, 17856])).
% 73.28/46.17 tff(17859,plain,
% 73.28/46.17 (~v130(constB119, bitIndex0)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17858, 1992, 17842])).
% 73.28/46.17 tff(17860,plain,
% 73.28/46.17 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17861,plain,
% 73.28/46.17 ((v26(constB119) | v130(constB119, bitIndex0) | (~v127(constB119, bitIndex0))) <=> ((~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17862,plain,
% 73.28/46.17 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB119) | v130(constB119, bitIndex0) | (~v127(constB119, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0)))),
% 73.28/46.17 inference(monotonicity,[status(thm)],[17861])).
% 73.28/46.17 tff(17863,plain,
% 73.28/46.17 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB119) | v130(constB119, bitIndex0) | (~v127(constB119, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0))),
% 73.28/46.17 inference(transitivity,[status(thm)],[17862, 17860])).
% 73.28/46.17 tff(17864,plain,
% 73.28/46.17 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB119) | v130(constB119, bitIndex0) | (~v127(constB119, bitIndex0)))),
% 73.28/46.17 inference(quant_inst,[status(thm)],[])).
% 73.28/46.17 tff(17865,plain,
% 73.28/46.17 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB119, bitIndex0)) | v26(constB119) | v130(constB119, bitIndex0)),
% 73.28/46.17 inference(modus_ponens,[status(thm)],[17864, 17863])).
% 73.28/46.17 tff(17866,plain,
% 73.28/46.17 ((~v127(constB119, bitIndex0)) | v130(constB119, bitIndex0)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17865, 905, 17595])).
% 73.28/46.17 tff(17867,plain,
% 73.28/46.17 (~v127(constB119, bitIndex0)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17866, 17859])).
% 73.28/46.17 tff(17868,plain,
% 73.28/46.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB119, constB120)) | v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB119, constB120)) | v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0)))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17869,plain,
% 73.28/46.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB119, constB120)) | v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0)))),
% 73.28/46.17 inference(quant_inst,[status(thm)],[])).
% 73.28/46.17 tff(17870,plain,
% 73.28/46.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB119, constB120)) | v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0))),
% 73.28/46.17 inference(modus_ponens,[status(thm)],[17869, 17868])).
% 73.28/46.17 tff(17871,plain,
% 73.28/46.17 (v127(constB119, bitIndex0) | (~v129(constB120, bitIndex0))),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17870, 923, 17603])).
% 73.28/46.17 tff(17872,plain,
% 73.28/46.17 (~v129(constB120, bitIndex0)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17871, 17867])).
% 73.28/46.17 tff(17873,plain,
% 73.28/46.17 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120)))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17874,plain,
% 73.28/46.17 (((~v90(constB120, bitIndex0)) | (~v100(constB120)) | v129(constB120, bitIndex0)) <=> ((~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120)))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17875,plain,
% 73.28/46.17 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | (~v100(constB120)) | v129(constB120, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120))))),
% 73.28/46.17 inference(monotonicity,[status(thm)],[17874])).
% 73.28/46.17 tff(17876,plain,
% 73.28/46.17 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | (~v100(constB120)) | v129(constB120, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120)))),
% 73.28/46.17 inference(transitivity,[status(thm)],[17875, 17873])).
% 73.28/46.17 tff(17877,plain,
% 73.28/46.17 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB120, bitIndex0)) | (~v100(constB120)) | v129(constB120, bitIndex0))),
% 73.28/46.17 inference(quant_inst,[status(thm)],[])).
% 73.28/46.17 tff(17878,plain,
% 73.28/46.17 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0) | (~v100(constB120))),
% 73.28/46.17 inference(modus_ponens,[status(thm)],[17877, 17876])).
% 73.28/46.17 tff(17879,plain,
% 73.28/46.17 ((~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17878, 938, 17846])).
% 73.28/46.17 tff(17880,plain,
% 73.28/46.17 (~v90(constB120, bitIndex0)),
% 73.28/46.17 inference(unit_resolution,[status(thm)],[17879, 17872])).
% 73.28/46.17 tff(17881,plain,
% 73.28/46.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0)))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17882,plain,
% 73.28/46.17 (((~nextState(constB120, constB121)) | v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0))) <=> (v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0)))),
% 73.28/46.17 inference(rewrite,[status(thm)],[])).
% 73.28/46.17 tff(17883,plain,
% 73.28/46.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0))))),
% 73.28/46.17 inference(monotonicity,[status(thm)],[17882])).
% 73.28/46.17 tff(17884,plain,
% 73.28/46.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0)))),
% 73.28/46.17 inference(transitivity,[status(thm)],[17883, 17881])).
% 73.28/46.17 tff(17885,plain,
% 73.28/46.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB120, constB121)) | v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0)))),
% 73.28/46.17 inference(quant_inst,[status(thm)],[])).
% 73.28/46.17 tff(17886,plain,
% 73.28/46.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex0))),
% 73.28/46.17 inference(modus_ponens,[status(thm)],[17885, 17884])).
% 73.35/46.18 tff(17887,plain,
% 73.35/46.18 (v90(constB120, bitIndex0) | v100(constB121) | (~v90(constB121, bitIndex0))),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17886, 130, 17751])).
% 73.35/46.18 tff(17888,plain,
% 73.35/46.18 (v90(constB120, bitIndex0) | (~v90(constB121, bitIndex0))),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17887, 17763])).
% 73.35/46.18 tff(17889,plain,
% 73.35/46.18 (~v90(constB121, bitIndex0)),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17888, 17880])).
% 73.35/46.18 tff(17890,plain,
% 73.35/46.18 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)) | v125(constB121))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)) | v125(constB121))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(17891,plain,
% 73.35/46.18 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)) | v125(constB121))),
% 73.35/46.18 inference(quant_inst,[status(thm)],[])).
% 73.35/46.18 tff(17892,plain,
% 73.35/46.18 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)) | v125(constB121)),
% 73.35/46.18 inference(modus_ponens,[status(thm)],[17891, 17890])).
% 73.35/46.18 tff(17893,plain,
% 73.35/46.18 (v125(constB121)),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17892, 2036, 17889, 17855, 17849])).
% 73.35/46.18 tff(17894,plain,
% 73.35/46.18 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB121) | (~v125(constB121)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB121) | (~v125(constB121)))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(17895,plain,
% 73.35/46.18 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB121) | (~v125(constB121)))),
% 73.35/46.18 inference(quant_inst,[status(thm)],[])).
% 73.35/46.18 tff(17896,plain,
% 73.35/46.18 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB121) | (~v125(constB121))),
% 73.35/46.18 inference(modus_ponens,[status(thm)],[17895, 17894])).
% 73.35/46.18 tff(17897,plain,
% 73.35/46.18 (v113(constB121)),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17896, 2047, 17893])).
% 73.35/46.18 tff(17898,assumption,(v26(constB121)), introduced(assumption)).
% 73.35/46.18 tff(17899,plain,
% 73.35/46.18 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB121))),
% 73.35/46.18 inference(quant_inst,[status(thm)],[])).
% 73.35/46.18 tff(17900,plain,
% 73.35/46.18 ($false),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17899, 37, 17898])).
% 73.35/46.18 tff(17901,plain,(~v26(constB121)), inference(lemma,lemma(discharge,[]))).
% 73.35/46.18 tff(17902,plain,
% 73.35/46.18 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | v112(constB121) | (~v113(constB121)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(17903,plain,
% 73.35/46.18 ((v26(constB121) | (~v113(constB121)) | v112(constB121)) <=> (v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(17904,plain,
% 73.35/46.18 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | v112(constB121) | (~v113(constB121))))),
% 73.35/46.18 inference(monotonicity,[status(thm)],[17903])).
% 73.35/46.18 tff(17905,plain,
% 73.35/46.18 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 73.35/46.18 inference(transitivity,[status(thm)],[17904, 17902])).
% 73.35/46.18 tff(17906,plain,
% 73.35/46.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))),
% 73.35/46.18 inference(quant_inst,[status(thm)],[])).
% 73.35/46.18 tff(17907,plain,
% 73.35/46.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121))),
% 73.35/46.18 inference(modus_ponens,[status(thm)],[17906, 17905])).
% 73.35/46.18 tff(17908,plain,
% 73.35/46.18 (v112(constB121) | (~v113(constB121))),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17907, 301, 17901])).
% 73.35/46.18 tff(17909,plain,
% 73.35/46.18 (v112(constB121)),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17908, 17897])).
% 73.35/46.18 tff(17910,plain,
% 73.35/46.18 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB121) | (~v112(constB121)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB121) | (~v112(constB121)))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(17911,plain,
% 73.35/46.18 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB121) | (~v112(constB121)))),
% 73.35/46.18 inference(quant_inst,[status(thm)],[])).
% 73.35/46.18 tff(17912,plain,
% 73.35/46.18 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB121) | (~v112(constB121))),
% 73.35/46.18 inference(modus_ponens,[status(thm)],[17911, 17910])).
% 73.35/46.18 tff(17913,plain,
% 73.35/46.18 (v108(constB121)),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17912, 210, 17909])).
% 73.35/46.18 tff(17914,plain,
% 73.35/46.18 (nextState(constB121, constB122) <=> nextState(constB121, constB122)),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(17915,axiom,(nextState(constB121, constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_121_1')).
% 73.35/46.18 tff(17916,plain,
% 73.35/46.18 (nextState(constB121, constB122)),
% 73.35/46.18 inference(modus_ponens,[status(thm)],[17915, 17914])).
% 73.35/46.18 tff(17917,plain,
% 73.35/46.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(17918,plain,
% 73.35/46.18 (((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122)) <=> ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(17919,plain,
% 73.35/46.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121))))),
% 73.35/46.18 inference(monotonicity,[status(thm)],[17918])).
% 73.35/46.18 tff(17920,plain,
% 73.35/46.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 73.35/46.18 inference(transitivity,[status(thm)],[17919, 17917])).
% 73.35/46.18 tff(17921,plain,
% 73.35/46.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))),
% 73.35/46.18 inference(quant_inst,[status(thm)],[])).
% 73.35/46.18 tff(17922,plain,
% 73.35/46.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121))),
% 73.35/46.18 inference(modus_ponens,[status(thm)],[17921, 17920])).
% 73.35/46.18 tff(17923,plain,
% 73.35/46.18 (v110(constB122) | (~v108(constB121))),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17922, 317, 17916])).
% 73.35/46.18 tff(17924,plain,
% 73.35/46.18 (v110(constB122)),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17923, 17913])).
% 73.35/46.18 tff(17925,plain,
% 73.35/46.18 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(17926,plain,
% 73.35/46.18 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))),
% 73.35/46.18 inference(quant_inst,[status(thm)],[])).
% 73.35/46.18 tff(17927,plain,
% 73.35/46.18 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122))),
% 73.35/46.18 inference(modus_ponens,[status(thm)],[17926, 17925])).
% 73.35/46.18 tff(17928,plain,
% 73.35/46.18 (~v104(constB122)),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17927, 335, 17916, 17748])).
% 73.35/46.18 tff(17929,plain,
% 73.35/46.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(17930,plain,
% 73.35/46.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))),
% 73.35/46.18 inference(quant_inst,[status(thm)],[])).
% 73.35/46.18 tff(17931,plain,
% 73.35/46.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v102(constB122) | v104(constB122)),
% 73.35/46.18 inference(modus_ponens,[status(thm)],[17930, 17929])).
% 73.35/46.18 tff(17932,plain,
% 73.35/46.18 (v102(constB122) | v104(constB122)),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17931, 349, 17916])).
% 73.35/46.18 tff(17933,plain,
% 73.35/46.18 (v102(constB122)),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17932, 17928])).
% 73.35/46.18 tff(17934,plain,
% 73.35/46.18 (v1(constB122) <=> v1(constB122)),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(17935,axiom,(v1(constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_122_1')).
% 73.35/46.18 tff(17936,plain,
% 73.35/46.18 (v1(constB122)),
% 73.35/46.18 inference(modus_ponens,[status(thm)],[17935, 17934])).
% 73.35/46.18 tff(17937,plain,
% 73.35/46.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(17938,plain,
% 73.35/46.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))),
% 73.35/46.18 inference(quant_inst,[status(thm)],[])).
% 73.35/46.18 tff(17939,plain,
% 73.35/46.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122))),
% 73.35/46.18 inference(modus_ponens,[status(thm)],[17938, 17937])).
% 73.35/46.18 tff(17940,plain,
% 73.35/46.18 (v101(constB122) | (~v102(constB122))),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17939, 367, 17916, 17936])).
% 73.35/46.18 tff(17941,plain,
% 73.35/46.18 (v101(constB122)),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17940, 17933])).
% 73.35/46.18 tff(17942,plain,
% 73.35/46.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(17943,plain,
% 73.35/46.18 (((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122)) <=> ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(17944,plain,
% 73.35/46.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122))))),
% 73.35/46.18 inference(monotonicity,[status(thm)],[17943])).
% 73.35/46.18 tff(17945,plain,
% 73.35/46.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 73.35/46.18 inference(transitivity,[status(thm)],[17944, 17942])).
% 73.35/46.18 tff(17946,plain,
% 73.35/46.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))),
% 73.35/46.18 inference(quant_inst,[status(thm)],[])).
% 73.35/46.18 tff(17947,plain,
% 73.35/46.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122))),
% 73.35/46.18 inference(modus_ponens,[status(thm)],[17946, 17945])).
% 73.35/46.18 tff(17948,plain,
% 73.35/46.18 (v100(constB122) | (~v101(constB122)) | (~v110(constB122))),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17947, 382, 17916])).
% 73.35/46.18 tff(17949,plain,
% 73.35/46.18 (v100(constB122) | (~v110(constB122))),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17948, 17941])).
% 73.35/46.18 tff(17950,plain,
% 73.35/46.18 (v100(constB122)),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17949, 17924])).
% 73.35/46.18 tff(17951,plain,
% 73.35/46.18 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB121)) | (~v90(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB121)) | (~v90(constB121, bitIndex1)))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(17952,plain,
% 73.35/46.18 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB121)) | (~v90(constB121, bitIndex1)))),
% 73.35/46.18 inference(quant_inst,[status(thm)],[])).
% 73.35/46.18 tff(17953,plain,
% 73.35/46.18 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB121)) | (~v90(constB121, bitIndex1))),
% 73.35/46.18 inference(modus_ponens,[status(thm)],[17952, 17951])).
% 73.35/46.18 tff(17954,plain,
% 73.35/46.18 (~v119(constB121)),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17953, 1908, 17855])).
% 73.35/46.18 tff(17955,plain,
% 73.35/46.18 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB121, bitIndex2)) | (~v121(constB121)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB121, bitIndex2)) | (~v121(constB121)))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(17956,plain,
% 73.35/46.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB121, bitIndex2)) | (~v121(constB121)))),
% 73.35/46.18 inference(quant_inst,[status(thm)],[])).
% 73.35/46.18 tff(17957,plain,
% 73.35/46.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB121, bitIndex2)) | (~v121(constB121))),
% 73.35/46.18 inference(modus_ponens,[status(thm)],[17956, 17955])).
% 73.35/46.18 tff(17958,plain,
% 73.35/46.18 (~v121(constB121)),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17957, 1842, 17849])).
% 73.35/46.18 tff(17959,assumption,(~v123(constB121)), introduced(assumption)).
% 73.35/46.18 tff(17960,assumption,(~v120(constB121)), introduced(assumption)).
% 73.35/46.18 tff(17961,plain,
% 73.35/46.18 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB121, bitIndex1)) | (~v124(constB121)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB121, bitIndex1)) | (~v124(constB121)))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(17962,plain,
% 73.35/46.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB121, bitIndex1)) | (~v124(constB121)))),
% 73.35/46.18 inference(quant_inst,[status(thm)],[])).
% 73.35/46.18 tff(17963,plain,
% 73.35/46.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB121, bitIndex1)) | (~v124(constB121))),
% 73.35/46.18 inference(modus_ponens,[status(thm)],[17962, 17961])).
% 73.35/46.18 tff(17964,plain,
% 73.35/46.18 (~v124(constB121)),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17963, 1941, 17855])).
% 73.35/46.18 tff(17965,assumption,(~v122(constB121)), introduced(assumption)).
% 73.35/46.18 tff(17966,plain,
% 73.35/46.18 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~v130(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~v130(constB121, bitIndex2)))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(17967,plain,
% 73.35/46.18 ((v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex2))) <=> (v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~v130(constB121, bitIndex2)))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(17968,plain,
% 73.35/46.18 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~v130(constB121, bitIndex2))))),
% 73.35/46.18 inference(monotonicity,[status(thm)],[17967])).
% 73.35/46.18 tff(17969,plain,
% 73.35/46.18 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~v130(constB121, bitIndex2)))),
% 73.35/46.18 inference(transitivity,[status(thm)],[17968, 17966])).
% 73.35/46.18 tff(17970,plain,
% 73.35/46.18 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex2)))),
% 73.35/46.18 inference(quant_inst,[status(thm)],[])).
% 73.35/46.18 tff(17971,plain,
% 73.35/46.18 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~v130(constB121, bitIndex2))),
% 73.35/46.18 inference(modus_ponens,[status(thm)],[17970, 17969])).
% 73.35/46.18 tff(17972,plain,
% 73.35/46.18 (v124(constB121) | v123(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~v130(constB121, bitIndex2))),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17971, 1955, 17965])).
% 73.35/46.18 tff(17973,plain,
% 73.35/46.18 (~v130(constB121, bitIndex2)),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17972, 17964, 17960, 17959, 17958, 17954])).
% 73.35/46.18 tff(17974,plain,
% 73.35/46.18 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(17975,plain,
% 73.35/46.18 ((v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2))) <=> ((~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(17976,plain,
% 73.35/46.18 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2)))),
% 73.35/46.18 inference(monotonicity,[status(thm)],[17975])).
% 73.35/46.18 tff(17977,plain,
% 73.35/46.18 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2))),
% 73.35/46.18 inference(transitivity,[status(thm)],[17976, 17974])).
% 73.35/46.18 tff(17978,plain,
% 73.35/46.18 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB121) | v130(constB121, bitIndex2) | (~v127(constB121, bitIndex2)))),
% 73.35/46.18 inference(quant_inst,[status(thm)],[])).
% 73.35/46.18 tff(17979,plain,
% 73.35/46.18 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB121, bitIndex2)) | v26(constB121) | v130(constB121, bitIndex2)),
% 73.35/46.18 inference(modus_ponens,[status(thm)],[17978, 17977])).
% 73.35/46.18 tff(17980,plain,
% 73.35/46.18 ((~v127(constB121, bitIndex2)) | v130(constB121, bitIndex2)),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17979, 470, 17901])).
% 73.35/46.18 tff(17981,plain,
% 73.35/46.18 (~v127(constB121, bitIndex2)),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17980, 17973])).
% 73.35/46.18 tff(17982,plain,
% 73.35/46.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2)))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(17983,plain,
% 73.35/46.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2)))),
% 73.35/46.18 inference(quant_inst,[status(thm)],[])).
% 73.35/46.18 tff(17984,plain,
% 73.35/46.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2))),
% 73.35/46.18 inference(modus_ponens,[status(thm)],[17983, 17982])).
% 73.35/46.18 tff(17985,plain,
% 73.35/46.18 (v127(constB121, bitIndex2) | (~v129(constB122, bitIndex2))),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17984, 488, 17916])).
% 73.35/46.18 tff(17986,plain,
% 73.35/46.18 (~v129(constB122, bitIndex2)),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17985, 17981])).
% 73.35/46.18 tff(17987,plain,
% 73.35/46.18 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122)))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(17988,plain,
% 73.35/46.18 (((~v90(constB122, bitIndex2)) | (~v100(constB122)) | v129(constB122, bitIndex2)) <=> ((~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122)))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(17989,plain,
% 73.35/46.18 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | (~v100(constB122)) | v129(constB122, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122))))),
% 73.35/46.18 inference(monotonicity,[status(thm)],[17988])).
% 73.35/46.18 tff(17990,plain,
% 73.35/46.18 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | (~v100(constB122)) | v129(constB122, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122)))),
% 73.35/46.18 inference(transitivity,[status(thm)],[17989, 17987])).
% 73.35/46.18 tff(17991,plain,
% 73.35/46.18 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | (~v100(constB122)) | v129(constB122, bitIndex2))),
% 73.35/46.18 inference(quant_inst,[status(thm)],[])).
% 73.35/46.18 tff(17992,plain,
% 73.35/46.18 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2) | (~v100(constB122))),
% 73.35/46.18 inference(modus_ponens,[status(thm)],[17991, 17990])).
% 73.35/46.18 tff(17993,plain,
% 73.35/46.18 ((~v90(constB122, bitIndex2)) | (~v100(constB122))),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17992, 503, 17986])).
% 73.35/46.18 tff(17994,plain,
% 73.35/46.18 (~v90(constB122, bitIndex2)),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[17993, 17950])).
% 73.35/46.18 tff(17995,plain,
% 73.35/46.18 ((~v1(constB123)) <=> (~v1(constB123))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(17996,axiom,(~v1(constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_123_1_1')).
% 73.35/46.18 tff(17997,plain,
% 73.35/46.18 (~v1(constB123)),
% 73.35/46.18 inference(modus_ponens,[status(thm)],[17996, 17995])).
% 73.35/46.18 tff(17998,plain,
% 73.35/46.18 (nextState(constB122, constB123) <=> nextState(constB122, constB123)),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(17999,axiom,(nextState(constB122, constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_122_1')).
% 73.35/46.18 tff(18000,plain,
% 73.35/46.18 (nextState(constB122, constB123)),
% 73.35/46.18 inference(modus_ponens,[status(thm)],[17999, 17998])).
% 73.35/46.18 tff(18001,plain,
% 73.35/46.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(18002,plain,
% 73.35/46.18 (((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123)) <=> (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(18003,plain,
% 73.35/46.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123))))),
% 73.35/46.18 inference(monotonicity,[status(thm)],[18002])).
% 73.35/46.18 tff(18004,plain,
% 73.35/46.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 73.35/46.18 inference(transitivity,[status(thm)],[18003, 18001])).
% 73.35/46.18 tff(18005,plain,
% 73.35/46.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))),
% 73.35/46.18 inference(quant_inst,[status(thm)],[])).
% 73.35/46.18 tff(18006,plain,
% 73.35/46.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123))),
% 73.35/46.18 inference(modus_ponens,[status(thm)],[18005, 18004])).
% 73.35/46.18 tff(18007,plain,
% 73.35/46.18 (~v101(constB123)),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[18006, 56, 18000, 17997])).
% 73.35/46.18 tff(18008,plain,
% 73.35/46.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(18009,plain,
% 73.35/46.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))),
% 73.35/46.18 inference(quant_inst,[status(thm)],[])).
% 73.35/46.18 tff(18010,plain,
% 73.35/46.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123))),
% 73.35/46.18 inference(modus_ponens,[status(thm)],[18009, 18008])).
% 73.35/46.18 tff(18011,plain,
% 73.35/46.18 (v101(constB123) | (~v100(constB123))),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[18010, 73, 18000])).
% 73.35/46.18 tff(18012,plain,
% 73.35/46.18 (~v100(constB123)),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[18011, 18007])).
% 73.35/46.18 tff(18013,plain,
% 73.35/46.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(18014,plain,
% 73.35/46.18 (((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2))) <=> (v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(18015,plain,
% 73.35/46.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2))))),
% 73.35/46.18 inference(monotonicity,[status(thm)],[18014])).
% 73.35/46.18 tff(18016,plain,
% 73.35/46.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 73.35/46.18 inference(transitivity,[status(thm)],[18015, 18013])).
% 73.35/46.18 tff(18017,plain,
% 73.35/46.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2)))),
% 73.35/46.18 inference(quant_inst,[status(thm)],[])).
% 73.35/46.18 tff(18018,plain,
% 73.35/46.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex2))),
% 73.35/46.18 inference(modus_ponens,[status(thm)],[18017, 18016])).
% 73.35/46.18 tff(18019,plain,
% 73.35/46.18 (v90(constB122, bitIndex2) | v100(constB123) | (~v90(constB123, bitIndex2))),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[18018, 88, 18000])).
% 73.35/46.18 tff(18020,plain,
% 73.35/46.18 (v90(constB122, bitIndex2) | (~v90(constB123, bitIndex2))),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[18019, 18012])).
% 73.35/46.18 tff(18021,plain,
% 73.35/46.18 (~v90(constB123, bitIndex2)),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[18020, 17994])).
% 73.35/46.18 tff(18022,plain,
% 73.35/46.18 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | v130(constB121, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | v130(constB121, bitIndex0))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(18023,plain,
% 73.35/46.18 ((v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, bitIndex0)) <=> (v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | v130(constB121, bitIndex0))),
% 73.35/46.18 inference(rewrite,[status(thm)],[])).
% 73.35/46.18 tff(18024,plain,
% 73.35/46.18 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | v130(constB121, bitIndex0)))),
% 73.35/46.18 inference(monotonicity,[status(thm)],[18023])).
% 73.35/46.18 tff(18025,plain,
% 73.35/46.18 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | v130(constB121, bitIndex0))),
% 73.35/46.18 inference(transitivity,[status(thm)],[18024, 18022])).
% 73.35/46.18 tff(18026,plain,
% 73.35/46.18 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, bitIndex0))),
% 73.35/46.18 inference(quant_inst,[status(thm)],[])).
% 73.35/46.18 tff(18027,plain,
% 73.35/46.18 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | v130(constB121, bitIndex0)),
% 73.35/46.18 inference(modus_ponens,[status(thm)],[18026, 18025])).
% 73.35/46.18 tff(18028,plain,
% 73.35/46.18 (v124(constB121) | v123(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | v130(constB121, bitIndex0)),
% 73.35/46.18 inference(unit_resolution,[status(thm)],[18027, 2192, 17965])).
% 73.35/46.19 tff(18029,plain,
% 73.35/46.19 (v130(constB121, bitIndex0)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18028, 17964, 17960, 17959, 17958, 17954])).
% 73.35/46.19 tff(18030,plain,
% 73.35/46.19 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB121) | (~v130(constB121, bitIndex0)) | v127(constB121, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB121) | (~v130(constB121, bitIndex0)) | v127(constB121, bitIndex0))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18031,plain,
% 73.35/46.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB121) | (~v130(constB121, bitIndex0)) | v127(constB121, bitIndex0))),
% 73.35/46.19 inference(quant_inst,[status(thm)],[])).
% 73.35/46.19 tff(18032,plain,
% 73.35/46.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB121) | (~v130(constB121, bitIndex0)) | v127(constB121, bitIndex0)),
% 73.35/46.19 inference(modus_ponens,[status(thm)],[18031, 18030])).
% 73.35/46.19 tff(18033,plain,
% 73.35/46.19 ((~v130(constB121, bitIndex0)) | v127(constB121, bitIndex0)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18032, 179, 17901])).
% 73.35/46.19 tff(18034,plain,
% 73.35/46.19 (v127(constB121, bitIndex0)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18033, 18029])).
% 73.35/46.19 tff(18035,plain,
% 73.35/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB121, constB122)) | (~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB121, constB122)) | (~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18036,plain,
% 73.35/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB121, constB122)) | (~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0))),
% 73.35/46.19 inference(quant_inst,[status(thm)],[])).
% 73.35/46.19 tff(18037,plain,
% 73.35/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB121, constB122)) | (~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0)),
% 73.35/46.19 inference(modus_ponens,[status(thm)],[18036, 18035])).
% 73.35/46.19 tff(18038,plain,
% 73.35/46.19 ((~v127(constB121, bitIndex0)) | v129(constB122, bitIndex0)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18037, 197, 17916])).
% 73.35/46.19 tff(18039,plain,
% 73.35/46.19 (v129(constB122, bitIndex0)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18038, 18034])).
% 73.35/46.19 tff(18040,plain,
% 73.35/46.19 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0)) | (~v100(constB122)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0)) | (~v100(constB122)))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18041,plain,
% 73.35/46.19 ((v90(constB122, bitIndex0) | (~v100(constB122)) | (~v129(constB122, bitIndex0))) <=> (v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0)) | (~v100(constB122)))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18042,plain,
% 73.35/46.19 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~v100(constB122)) | (~v129(constB122, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0)) | (~v100(constB122))))),
% 73.35/46.19 inference(monotonicity,[status(thm)],[18041])).
% 73.35/46.19 tff(18043,plain,
% 73.35/46.19 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~v100(constB122)) | (~v129(constB122, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0)) | (~v100(constB122)))),
% 73.35/46.19 inference(transitivity,[status(thm)],[18042, 18040])).
% 73.35/46.19 tff(18044,plain,
% 73.35/46.19 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB122, bitIndex0) | (~v100(constB122)) | (~v129(constB122, bitIndex0)))),
% 73.35/46.19 inference(quant_inst,[status(thm)],[])).
% 73.35/46.19 tff(18045,plain,
% 73.35/46.19 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0)) | (~v100(constB122))),
% 73.35/46.19 inference(modus_ponens,[status(thm)],[18044, 18043])).
% 73.35/46.19 tff(18046,plain,
% 73.35/46.19 (v90(constB122, bitIndex0) | (~v100(constB122))),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18045, 401, 18039])).
% 73.35/46.19 tff(18047,plain,
% 73.35/46.19 (v90(constB122, bitIndex0)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18046, 17950])).
% 73.35/46.19 tff(18048,plain,
% 73.35/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex0))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18049,plain,
% 73.35/46.19 (((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex0)) | v100(constB123) | v90(constB123, bitIndex0)) <=> ((~v90(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex0))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18050,plain,
% 73.35/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex0)) | v100(constB123) | v90(constB123, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex0)))),
% 73.35/46.19 inference(monotonicity,[status(thm)],[18049])).
% 73.35/46.19 tff(18051,plain,
% 73.35/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex0)) | v100(constB123) | v90(constB123, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex0))),
% 73.35/46.19 inference(transitivity,[status(thm)],[18050, 18048])).
% 73.35/46.19 tff(18052,plain,
% 73.35/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex0)) | v100(constB123) | v90(constB123, bitIndex0))),
% 73.35/46.19 inference(quant_inst,[status(thm)],[])).
% 73.35/46.19 tff(18053,plain,
% 73.35/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex0)),
% 73.35/46.19 inference(modus_ponens,[status(thm)],[18052, 18051])).
% 73.35/46.19 tff(18054,plain,
% 73.35/46.19 ((~v90(constB122, bitIndex0)) | v100(constB123) | v90(constB123, bitIndex0)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18053, 437, 18000])).
% 73.35/46.19 tff(18055,plain,
% 73.35/46.19 ((~v90(constB122, bitIndex0)) | v90(constB123, bitIndex0)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18054, 18012])).
% 73.35/46.19 tff(18056,plain,
% 73.35/46.19 (v90(constB123, bitIndex0)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18055, 18047])).
% 73.35/46.19 tff(18057,plain,
% 73.35/46.19 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~v130(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~v130(constB121, bitIndex1)))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18058,plain,
% 73.35/46.19 ((v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1))) <=> (v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~v130(constB121, bitIndex1)))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18059,plain,
% 73.35/46.19 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~v130(constB121, bitIndex1))))),
% 73.35/46.19 inference(monotonicity,[status(thm)],[18058])).
% 73.35/46.19 tff(18060,plain,
% 73.35/46.19 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~v130(constB121, bitIndex1)))),
% 73.35/46.19 inference(transitivity,[status(thm)],[18059, 18057])).
% 73.35/46.19 tff(18061,plain,
% 73.35/46.19 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB121) | v119(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, bitIndex1)))),
% 73.35/46.19 inference(quant_inst,[status(thm)],[])).
% 73.35/46.19 tff(18062,plain,
% 73.35/46.19 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~v130(constB121, bitIndex1))),
% 73.35/46.19 inference(modus_ponens,[status(thm)],[18061, 18060])).
% 73.35/46.19 tff(18063,plain,
% 73.35/46.19 (v124(constB121) | v123(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~v130(constB121, bitIndex1))),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18062, 2146, 17965])).
% 73.35/46.19 tff(18064,plain,
% 73.35/46.19 (~v130(constB121, bitIndex1)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18063, 17964, 17960, 17959, 17958, 17954])).
% 73.35/46.19 tff(18065,plain,
% 73.35/46.19 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18066,plain,
% 73.35/46.19 ((v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1))) <=> ((~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18067,plain,
% 73.35/46.19 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1)))),
% 73.35/46.19 inference(monotonicity,[status(thm)],[18066])).
% 73.35/46.19 tff(18068,plain,
% 73.35/46.19 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))),
% 73.35/46.19 inference(transitivity,[status(thm)],[18067, 18065])).
% 73.35/46.19 tff(18069,plain,
% 73.35/46.19 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1)))),
% 73.35/46.19 inference(quant_inst,[status(thm)],[])).
% 73.35/46.19 tff(18070,plain,
% 73.35/46.19 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1)),
% 73.35/46.19 inference(modus_ponens,[status(thm)],[18069, 18068])).
% 73.35/46.19 tff(18071,plain,
% 73.35/46.19 ((~v127(constB121, bitIndex1)) | v130(constB121, bitIndex1)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18070, 555, 17901])).
% 73.35/46.19 tff(18072,plain,
% 73.35/46.19 (~v127(constB121, bitIndex1)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18071, 18064])).
% 73.35/46.19 tff(18073,plain,
% 73.35/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1)))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18074,plain,
% 73.35/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1)))),
% 73.35/46.19 inference(quant_inst,[status(thm)],[])).
% 73.35/46.19 tff(18075,plain,
% 73.35/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1))),
% 73.35/46.19 inference(modus_ponens,[status(thm)],[18074, 18073])).
% 73.35/46.19 tff(18076,plain,
% 73.35/46.19 (v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1))),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18075, 588, 17916])).
% 73.35/46.19 tff(18077,plain,
% 73.35/46.19 (~v129(constB122, bitIndex1)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18076, 18072])).
% 73.35/46.19 tff(18078,plain,
% 73.35/46.19 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18079,plain,
% 73.35/46.19 (((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1)) <=> ((~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18080,plain,
% 73.35/46.19 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122))))),
% 73.35/46.19 inference(monotonicity,[status(thm)],[18079])).
% 73.35/46.19 tff(18081,plain,
% 73.35/46.19 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))),
% 73.35/46.19 inference(transitivity,[status(thm)],[18080, 18078])).
% 73.35/46.19 tff(18082,plain,
% 73.35/46.19 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1))),
% 73.35/46.19 inference(quant_inst,[status(thm)],[])).
% 73.35/46.19 tff(18083,plain,
% 73.35/46.19 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122))),
% 73.35/46.19 inference(modus_ponens,[status(thm)],[18082, 18081])).
% 73.35/46.19 tff(18084,plain,
% 73.35/46.19 ((~v90(constB122, bitIndex1)) | (~v100(constB122))),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18083, 603, 18077])).
% 73.35/46.19 tff(18085,plain,
% 73.35/46.19 (~v90(constB122, bitIndex1)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18084, 17950])).
% 73.35/46.19 tff(18086,plain,
% 73.35/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18087,plain,
% 73.35/46.19 (((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1))) <=> (v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18088,plain,
% 73.35/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1))))),
% 73.35/46.19 inference(monotonicity,[status(thm)],[18087])).
% 73.35/46.19 tff(18089,plain,
% 73.35/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 73.35/46.19 inference(transitivity,[status(thm)],[18088, 18086])).
% 73.35/46.19 tff(18090,plain,
% 73.35/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 73.35/46.19 inference(quant_inst,[status(thm)],[])).
% 73.35/46.19 tff(18091,plain,
% 73.35/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1))),
% 73.35/46.19 inference(modus_ponens,[status(thm)],[18090, 18089])).
% 73.35/46.19 tff(18092,plain,
% 73.35/46.19 (v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1))),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18091, 109, 18000])).
% 73.35/46.19 tff(18093,plain,
% 73.35/46.19 (v90(constB122, bitIndex1) | (~v90(constB123, bitIndex1))),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18092, 18012])).
% 73.35/46.19 tff(18094,plain,
% 73.35/46.19 (~v90(constB123, bitIndex1)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18093, 18085])).
% 73.35/46.19 tff(18095,assumption,(~v120(constB123)), introduced(assumption)).
% 73.35/46.19 tff(18096,plain,
% 73.35/46.19 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18097,plain,
% 73.35/46.19 (((~v90(constB123, bitIndex0)) | v120(constB123) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2)) <=> ((~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18098,plain,
% 73.35/46.19 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB123, bitIndex0)) | v120(constB123) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123)))),
% 73.35/46.19 inference(monotonicity,[status(thm)],[18097])).
% 73.35/46.19 tff(18099,plain,
% 73.35/46.19 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB123, bitIndex0)) | v120(constB123) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123))),
% 73.35/46.19 inference(transitivity,[status(thm)],[18098, 18096])).
% 73.35/46.19 tff(18100,plain,
% 73.35/46.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB123, bitIndex0)) | v120(constB123) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2))),
% 73.35/46.19 inference(quant_inst,[status(thm)],[])).
% 73.35/46.19 tff(18101,plain,
% 73.35/46.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | v120(constB123)),
% 73.35/46.19 inference(modus_ponens,[status(thm)],[18100, 18099])).
% 73.35/46.19 tff(18102,plain,
% 73.35/46.19 ((~v90(constB123, bitIndex0)) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18101, 631, 18095])).
% 73.35/46.19 tff(18103,plain,
% 73.35/46.19 ($false),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18102, 18094, 18056, 18021])).
% 73.35/46.19 tff(18104,plain,((~v123(constB117)) | v120(constB123) | v120(constB121) | v123(constB121) | v122(constB121)), inference(lemma,lemma(discharge,[]))).
% 73.35/46.19 tff(18105,plain,
% 73.35/46.19 (v120(constB123)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18104, 17815, 17404, 17811, 17776])).
% 73.35/46.19 tff(18106,plain,
% 73.35/46.19 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB123) | (~v120(constB123)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB123) | (~v120(constB123)))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18107,plain,
% 73.35/46.19 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB123) | (~v120(constB123)))),
% 73.35/46.19 inference(quant_inst,[status(thm)],[])).
% 73.35/46.19 tff(18108,plain,
% 73.35/46.19 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB123) | (~v120(constB123))),
% 73.35/46.19 inference(modus_ponens,[status(thm)],[18107, 18106])).
% 73.35/46.19 tff(18109,plain,
% 73.35/46.19 (v118(constB123)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18108, 646, 18105])).
% 73.35/46.19 tff(18110,plain,
% 73.35/46.19 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB123) | (~v118(constB123)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB123) | (~v118(constB123)))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18111,plain,
% 73.35/46.19 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB123) | (~v118(constB123)))),
% 73.35/46.19 inference(quant_inst,[status(thm)],[])).
% 73.35/46.19 tff(18112,plain,
% 73.35/46.19 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB123) | (~v118(constB123))),
% 73.35/46.19 inference(modus_ponens,[status(thm)],[18111, 18110])).
% 73.35/46.19 tff(18113,plain,
% 73.35/46.19 (v117(constB123)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18112, 243, 18109])).
% 73.35/46.19 tff(18114,plain,
% 73.35/46.19 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB123) | (~v117(constB123)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB123) | (~v117(constB123)))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18115,plain,
% 73.35/46.19 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB123) | (~v117(constB123)))),
% 73.35/46.19 inference(quant_inst,[status(thm)],[])).
% 73.35/46.19 tff(18116,plain,
% 73.35/46.19 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB123) | (~v117(constB123))),
% 73.35/46.19 inference(modus_ponens,[status(thm)],[18115, 18114])).
% 73.35/46.19 tff(18117,plain,
% 73.35/46.19 (v116(constB123)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18116, 254, 18113])).
% 73.35/46.19 tff(18118,plain,
% 73.35/46.19 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB123) | (~v116(constB123)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB123) | (~v116(constB123)))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18119,plain,
% 73.35/46.19 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB123) | (~v116(constB123)))),
% 73.35/46.19 inference(quant_inst,[status(thm)],[])).
% 73.35/46.19 tff(18120,plain,
% 73.35/46.19 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB123) | (~v116(constB123))),
% 73.35/46.19 inference(modus_ponens,[status(thm)],[18119, 18118])).
% 73.35/46.19 tff(18121,plain,
% 73.35/46.19 (v115(constB123)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18120, 265, 18117])).
% 73.35/46.19 tff(18122,plain,
% 73.35/46.19 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB123) | (~v115(constB123)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB123) | (~v115(constB123)))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18123,plain,
% 73.35/46.19 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB123) | (~v115(constB123)))),
% 73.35/46.19 inference(quant_inst,[status(thm)],[])).
% 73.35/46.19 tff(18124,plain,
% 73.35/46.19 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB123) | (~v115(constB123))),
% 73.35/46.19 inference(modus_ponens,[status(thm)],[18123, 18122])).
% 73.35/46.19 tff(18125,plain,
% 73.35/46.19 (v114(constB123)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18124, 276, 18121])).
% 73.35/46.19 tff(18126,plain,
% 73.35/46.19 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB123) | (~v114(constB123)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB123) | (~v114(constB123)))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18127,plain,
% 73.35/46.19 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB123) | (~v114(constB123)))),
% 73.35/46.19 inference(quant_inst,[status(thm)],[])).
% 73.35/46.19 tff(18128,plain,
% 73.35/46.19 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB123) | (~v114(constB123))),
% 73.35/46.19 inference(modus_ponens,[status(thm)],[18127, 18126])).
% 73.35/46.19 tff(18129,plain,
% 73.35/46.19 (v113(constB123)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18128, 287, 18125])).
% 73.35/46.19 tff(18130,assumption,(v26(constB123)), introduced(assumption)).
% 73.35/46.19 tff(18131,plain,
% 73.35/46.19 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB123))),
% 73.35/46.19 inference(quant_inst,[status(thm)],[])).
% 73.35/46.19 tff(18132,plain,
% 73.35/46.19 ($false),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18131, 37, 18130])).
% 73.35/46.19 tff(18133,plain,(~v26(constB123)), inference(lemma,lemma(discharge,[]))).
% 73.35/46.19 tff(18134,plain,
% 73.35/46.19 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | v112(constB123) | (~v113(constB123)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18135,plain,
% 73.35/46.19 ((v26(constB123) | (~v113(constB123)) | v112(constB123)) <=> (v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18136,plain,
% 73.35/46.19 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | v112(constB123) | (~v113(constB123))))),
% 73.35/46.19 inference(monotonicity,[status(thm)],[18135])).
% 73.35/46.19 tff(18137,plain,
% 73.35/46.19 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 73.35/46.19 inference(transitivity,[status(thm)],[18136, 18134])).
% 73.35/46.19 tff(18138,plain,
% 73.35/46.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))),
% 73.35/46.19 inference(quant_inst,[status(thm)],[])).
% 73.35/46.19 tff(18139,plain,
% 73.35/46.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123))),
% 73.35/46.19 inference(modus_ponens,[status(thm)],[18138, 18137])).
% 73.35/46.19 tff(18140,plain,
% 73.35/46.19 (v112(constB123) | (~v113(constB123))),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18139, 301, 18133])).
% 73.35/46.19 tff(18141,plain,
% 73.35/46.19 (v112(constB123)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18140, 18129])).
% 73.35/46.19 tff(18142,plain,
% 73.35/46.19 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB123) | (~v112(constB123)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB123) | (~v112(constB123)))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18143,plain,
% 73.35/46.19 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB123) | (~v112(constB123)))),
% 73.35/46.19 inference(quant_inst,[status(thm)],[])).
% 73.35/46.19 tff(18144,plain,
% 73.35/46.19 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB123) | (~v112(constB123))),
% 73.35/46.19 inference(modus_ponens,[status(thm)],[18143, 18142])).
% 73.35/46.19 tff(18145,plain,
% 73.35/46.19 (v108(constB123)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18144, 210, 18141])).
% 73.35/46.19 tff(18146,plain,
% 73.35/46.19 (nextState(constB123, constB124) <=> nextState(constB123, constB124)),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18147,axiom,(nextState(constB123, constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_123_1')).
% 73.35/46.19 tff(18148,plain,
% 73.35/46.19 (nextState(constB123, constB124)),
% 73.35/46.19 inference(modus_ponens,[status(thm)],[18147, 18146])).
% 73.35/46.19 tff(18149,plain,
% 73.35/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18150,plain,
% 73.35/46.19 (((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124)) <=> ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18151,plain,
% 73.35/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123))))),
% 73.35/46.19 inference(monotonicity,[status(thm)],[18150])).
% 73.35/46.19 tff(18152,plain,
% 73.35/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 73.35/46.19 inference(transitivity,[status(thm)],[18151, 18149])).
% 73.35/46.19 tff(18153,plain,
% 73.35/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))),
% 73.35/46.19 inference(quant_inst,[status(thm)],[])).
% 73.35/46.19 tff(18154,plain,
% 73.35/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123))),
% 73.35/46.19 inference(modus_ponens,[status(thm)],[18153, 18152])).
% 73.35/46.19 tff(18155,plain,
% 73.35/46.19 (v110(constB124) | (~v108(constB123))),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18154, 317, 18148])).
% 73.35/46.19 tff(18156,plain,
% 73.35/46.19 (v110(constB124)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18155, 18145])).
% 73.35/46.19 tff(18157,plain,
% 73.35/46.19 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18158,plain,
% 73.35/46.19 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))),
% 73.35/46.19 inference(quant_inst,[status(thm)],[])).
% 73.35/46.19 tff(18159,plain,
% 73.35/46.19 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124))),
% 73.35/46.19 inference(modus_ponens,[status(thm)],[18158, 18157])).
% 73.35/46.19 tff(18160,plain,
% 73.35/46.19 (~v104(constB124)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18159, 335, 18148, 17997])).
% 73.35/46.19 tff(18161,plain,
% 73.35/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18162,plain,
% 73.35/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))),
% 73.35/46.19 inference(quant_inst,[status(thm)],[])).
% 73.35/46.19 tff(18163,plain,
% 73.35/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v102(constB124) | v104(constB124)),
% 73.35/46.19 inference(modus_ponens,[status(thm)],[18162, 18161])).
% 73.35/46.19 tff(18164,plain,
% 73.35/46.19 (v102(constB124) | v104(constB124)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18163, 349, 18148])).
% 73.35/46.19 tff(18165,plain,
% 73.35/46.19 (v102(constB124)),
% 73.35/46.19 inference(unit_resolution,[status(thm)],[18164, 18160])).
% 73.35/46.19 tff(18166,plain,
% 73.35/46.19 (v1(constB124) <=> v1(constB124)),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18167,axiom,(v1(constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_124_1')).
% 73.35/46.19 tff(18168,plain,
% 73.35/46.19 (v1(constB124)),
% 73.35/46.19 inference(modus_ponens,[status(thm)],[18167, 18166])).
% 73.35/46.19 tff(18169,plain,
% 73.35/46.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))),
% 73.35/46.19 inference(rewrite,[status(thm)],[])).
% 73.35/46.19 tff(18170,plain,
% 73.35/46.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))),
% 73.35/46.19 inference(quant_inst,[status(thm)],[])).
% 73.35/46.19 tff(18171,plain,
% 73.35/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124))),
% 73.35/46.20 inference(modus_ponens,[status(thm)],[18170, 18169])).
% 73.35/46.20 tff(18172,plain,
% 73.35/46.20 (v101(constB124) | (~v102(constB124))),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18171, 367, 18148, 18168])).
% 73.35/46.20 tff(18173,plain,
% 73.35/46.20 (v101(constB124)),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18172, 18165])).
% 73.35/46.20 tff(18174,plain,
% 73.35/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18175,plain,
% 73.35/46.20 (((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124)) <=> ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18176,plain,
% 73.35/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124))))),
% 73.35/46.20 inference(monotonicity,[status(thm)],[18175])).
% 73.35/46.20 tff(18177,plain,
% 73.35/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 73.35/46.20 inference(transitivity,[status(thm)],[18176, 18174])).
% 73.35/46.20 tff(18178,plain,
% 73.35/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))),
% 73.35/46.20 inference(quant_inst,[status(thm)],[])).
% 73.35/46.20 tff(18179,plain,
% 73.35/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124))),
% 73.35/46.20 inference(modus_ponens,[status(thm)],[18178, 18177])).
% 73.35/46.20 tff(18180,plain,
% 73.35/46.20 (v100(constB124) | (~v101(constB124)) | (~v110(constB124))),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18179, 382, 18148])).
% 73.35/46.20 tff(18181,plain,
% 73.35/46.20 (v100(constB124) | (~v110(constB124))),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18180, 18173])).
% 73.35/46.20 tff(18182,plain,
% 73.35/46.20 (v100(constB124)),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18181, 18156])).
% 73.35/46.20 tff(18183,plain,
% 73.35/46.20 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB123)) | (~v130(constB123, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB123)) | (~v130(constB123, bitIndex0)))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18184,plain,
% 73.35/46.20 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB123)) | (~v130(constB123, bitIndex0)))),
% 73.35/46.20 inference(quant_inst,[status(thm)],[])).
% 73.35/46.20 tff(18185,plain,
% 73.35/46.20 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB123)) | (~v130(constB123, bitIndex0))),
% 73.35/46.20 inference(modus_ponens,[status(thm)],[18184, 18183])).
% 73.35/46.20 tff(18186,plain,
% 73.35/46.20 (~v130(constB123, bitIndex0)),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18185, 891, 18105])).
% 73.35/46.20 tff(18187,plain,
% 73.35/46.20 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18188,plain,
% 73.35/46.20 ((v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0))) <=> ((~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18189,plain,
% 73.35/46.20 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0)))),
% 73.35/46.20 inference(monotonicity,[status(thm)],[18188])).
% 73.35/46.20 tff(18190,plain,
% 73.35/46.20 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))),
% 73.35/46.20 inference(transitivity,[status(thm)],[18189, 18187])).
% 73.35/46.20 tff(18191,plain,
% 73.35/46.20 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0)))),
% 73.35/46.20 inference(quant_inst,[status(thm)],[])).
% 73.35/46.20 tff(18192,plain,
% 73.35/46.20 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0)),
% 73.35/46.20 inference(modus_ponens,[status(thm)],[18191, 18190])).
% 73.35/46.20 tff(18193,plain,
% 73.35/46.20 ((~v127(constB123, bitIndex0)) | v130(constB123, bitIndex0)),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18192, 905, 18133])).
% 73.35/46.20 tff(18194,plain,
% 73.35/46.20 (~v127(constB123, bitIndex0)),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18193, 18186])).
% 73.35/46.20 tff(18195,plain,
% 73.35/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0)))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18196,plain,
% 73.35/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0)))),
% 73.35/46.20 inference(quant_inst,[status(thm)],[])).
% 73.35/46.20 tff(18197,plain,
% 73.35/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0))),
% 73.35/46.20 inference(modus_ponens,[status(thm)],[18196, 18195])).
% 73.35/46.20 tff(18198,plain,
% 73.35/46.20 (v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0))),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18197, 923, 18148])).
% 73.35/46.20 tff(18199,plain,
% 73.35/46.20 (~v129(constB124, bitIndex0)),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18198, 18194])).
% 73.35/46.20 tff(18200,plain,
% 73.35/46.20 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18201,plain,
% 73.35/46.20 (((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0)) <=> ((~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18202,plain,
% 73.35/46.20 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124))))),
% 73.35/46.20 inference(monotonicity,[status(thm)],[18201])).
% 73.35/46.20 tff(18203,plain,
% 73.35/46.20 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))),
% 73.35/46.20 inference(transitivity,[status(thm)],[18202, 18200])).
% 73.35/46.20 tff(18204,plain,
% 73.35/46.20 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0))),
% 73.35/46.20 inference(quant_inst,[status(thm)],[])).
% 73.35/46.20 tff(18205,plain,
% 73.35/46.20 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124))),
% 73.35/46.20 inference(modus_ponens,[status(thm)],[18204, 18203])).
% 73.35/46.20 tff(18206,plain,
% 73.35/46.20 ((~v90(constB124, bitIndex0)) | (~v100(constB124))),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18205, 938, 18199])).
% 73.35/46.20 tff(18207,plain,
% 73.35/46.20 (~v90(constB124, bitIndex0)),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18206, 18182])).
% 73.35/46.20 tff(18208,plain,
% 73.35/46.20 ((~v1(constB125)) <=> (~v1(constB125))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18209,axiom,(~v1(constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_125_1_1')).
% 73.35/46.20 tff(18210,plain,
% 73.35/46.20 (~v1(constB125)),
% 73.35/46.20 inference(modus_ponens,[status(thm)],[18209, 18208])).
% 73.35/46.20 tff(18211,plain,
% 73.35/46.20 (nextState(constB124, constB125) <=> nextState(constB124, constB125)),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18212,axiom,(nextState(constB124, constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_124_1')).
% 73.35/46.20 tff(18213,plain,
% 73.35/46.20 (nextState(constB124, constB125)),
% 73.35/46.20 inference(modus_ponens,[status(thm)],[18212, 18211])).
% 73.35/46.20 tff(18214,plain,
% 73.35/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18215,plain,
% 73.35/46.20 (((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125)) <=> (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18216,plain,
% 73.35/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125))))),
% 73.35/46.20 inference(monotonicity,[status(thm)],[18215])).
% 73.35/46.20 tff(18217,plain,
% 73.35/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 73.35/46.20 inference(transitivity,[status(thm)],[18216, 18214])).
% 73.35/46.20 tff(18218,plain,
% 73.35/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))),
% 73.35/46.20 inference(quant_inst,[status(thm)],[])).
% 73.35/46.20 tff(18219,plain,
% 73.35/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125))),
% 73.35/46.20 inference(modus_ponens,[status(thm)],[18218, 18217])).
% 73.35/46.20 tff(18220,plain,
% 73.35/46.20 (~v101(constB125)),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18219, 56, 18213, 18210])).
% 73.35/46.20 tff(18221,plain,
% 73.35/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18222,plain,
% 73.35/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))),
% 73.35/46.20 inference(quant_inst,[status(thm)],[])).
% 73.35/46.20 tff(18223,plain,
% 73.35/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125))),
% 73.35/46.20 inference(modus_ponens,[status(thm)],[18222, 18221])).
% 73.35/46.20 tff(18224,plain,
% 73.35/46.20 (v101(constB125) | (~v100(constB125))),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18223, 73, 18213])).
% 73.35/46.20 tff(18225,plain,
% 73.35/46.20 (~v100(constB125)),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18224, 18220])).
% 73.35/46.20 tff(18226,plain,
% 73.35/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18227,plain,
% 73.35/46.20 (((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0))) <=> (v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18228,plain,
% 73.35/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0))))),
% 73.35/46.20 inference(monotonicity,[status(thm)],[18227])).
% 73.35/46.20 tff(18229,plain,
% 73.35/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 73.35/46.20 inference(transitivity,[status(thm)],[18228, 18226])).
% 73.35/46.20 tff(18230,plain,
% 73.35/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 73.35/46.20 inference(quant_inst,[status(thm)],[])).
% 73.35/46.20 tff(18231,plain,
% 73.35/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0))),
% 73.35/46.20 inference(modus_ponens,[status(thm)],[18230, 18229])).
% 73.35/46.20 tff(18232,plain,
% 73.35/46.20 (v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0))),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18231, 130, 18213])).
% 73.35/46.20 tff(18233,plain,
% 73.35/46.20 (v90(constB124, bitIndex0) | (~v90(constB125, bitIndex0))),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18232, 18225])).
% 73.35/46.20 tff(18234,plain,
% 73.35/46.20 (~v90(constB125, bitIndex0)),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18233, 18207])).
% 73.35/46.20 tff(18235,plain,
% 73.35/46.20 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB123)) | (~v130(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB123)) | (~v130(constB123, bitIndex2)))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18236,plain,
% 73.35/46.20 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB123)) | (~v130(constB123, bitIndex2)))),
% 73.35/46.20 inference(quant_inst,[status(thm)],[])).
% 73.35/46.20 tff(18237,plain,
% 73.35/46.20 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB123)) | (~v130(constB123, bitIndex2))),
% 73.35/46.20 inference(modus_ponens,[status(thm)],[18236, 18235])).
% 73.35/46.20 tff(18238,plain,
% 73.35/46.20 (~v130(constB123, bitIndex2)),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18237, 730, 18105])).
% 73.35/46.20 tff(18239,plain,
% 73.35/46.20 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18240,plain,
% 73.35/46.20 ((v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2))) <=> ((~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18241,plain,
% 73.35/46.20 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2)))),
% 73.35/46.20 inference(monotonicity,[status(thm)],[18240])).
% 73.35/46.20 tff(18242,plain,
% 73.35/46.20 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2))),
% 73.35/46.20 inference(transitivity,[status(thm)],[18241, 18239])).
% 73.35/46.20 tff(18243,plain,
% 73.35/46.20 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB123) | v130(constB123, bitIndex2) | (~v127(constB123, bitIndex2)))),
% 73.35/46.20 inference(quant_inst,[status(thm)],[])).
% 73.35/46.20 tff(18244,plain,
% 73.35/46.20 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB123, bitIndex2)) | v26(constB123) | v130(constB123, bitIndex2)),
% 73.35/46.20 inference(modus_ponens,[status(thm)],[18243, 18242])).
% 73.35/46.20 tff(18245,plain,
% 73.35/46.20 ((~v127(constB123, bitIndex2)) | v130(constB123, bitIndex2)),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18244, 470, 18133])).
% 73.35/46.20 tff(18246,plain,
% 73.35/46.20 (~v127(constB123, bitIndex2)),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18245, 18238])).
% 73.35/46.20 tff(18247,plain,
% 73.35/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2)))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18248,plain,
% 73.35/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2)))),
% 73.35/46.20 inference(quant_inst,[status(thm)],[])).
% 73.35/46.20 tff(18249,plain,
% 73.35/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2))),
% 73.35/46.20 inference(modus_ponens,[status(thm)],[18248, 18247])).
% 73.35/46.20 tff(18250,plain,
% 73.35/46.20 (v127(constB123, bitIndex2) | (~v129(constB124, bitIndex2))),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18249, 488, 18148])).
% 73.35/46.20 tff(18251,plain,
% 73.35/46.20 (~v129(constB124, bitIndex2)),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18250, 18246])).
% 73.35/46.20 tff(18252,plain,
% 73.35/46.20 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124)))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18253,plain,
% 73.35/46.20 (((~v90(constB124, bitIndex2)) | (~v100(constB124)) | v129(constB124, bitIndex2)) <=> ((~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124)))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18254,plain,
% 73.35/46.20 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | (~v100(constB124)) | v129(constB124, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124))))),
% 73.35/46.20 inference(monotonicity,[status(thm)],[18253])).
% 73.35/46.20 tff(18255,plain,
% 73.35/46.20 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | (~v100(constB124)) | v129(constB124, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124)))),
% 73.35/46.20 inference(transitivity,[status(thm)],[18254, 18252])).
% 73.35/46.20 tff(18256,plain,
% 73.35/46.20 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | (~v100(constB124)) | v129(constB124, bitIndex2))),
% 73.35/46.20 inference(quant_inst,[status(thm)],[])).
% 73.35/46.20 tff(18257,plain,
% 73.35/46.20 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2) | (~v100(constB124))),
% 73.35/46.20 inference(modus_ponens,[status(thm)],[18256, 18255])).
% 73.35/46.20 tff(18258,plain,
% 73.35/46.20 ((~v90(constB124, bitIndex2)) | (~v100(constB124))),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18257, 503, 18251])).
% 73.35/46.20 tff(18259,plain,
% 73.35/46.20 (~v90(constB124, bitIndex2)),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18258, 18182])).
% 73.35/46.20 tff(18260,plain,
% 73.35/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18261,plain,
% 73.35/46.20 (((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2))) <=> (v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18262,plain,
% 73.35/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2))))),
% 73.35/46.20 inference(monotonicity,[status(thm)],[18261])).
% 73.35/46.20 tff(18263,plain,
% 73.35/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 73.35/46.20 inference(transitivity,[status(thm)],[18262, 18260])).
% 73.35/46.20 tff(18264,plain,
% 73.35/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2)))),
% 73.35/46.20 inference(quant_inst,[status(thm)],[])).
% 73.35/46.20 tff(18265,plain,
% 73.35/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex2))),
% 73.35/46.20 inference(modus_ponens,[status(thm)],[18264, 18263])).
% 73.35/46.20 tff(18266,plain,
% 73.35/46.20 (v90(constB124, bitIndex2) | v100(constB125) | (~v90(constB125, bitIndex2))),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18265, 88, 18213])).
% 73.35/46.20 tff(18267,plain,
% 73.35/46.20 (v90(constB124, bitIndex2) | (~v90(constB125, bitIndex2))),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18266, 18225])).
% 73.35/46.20 tff(18268,plain,
% 73.35/46.20 (~v90(constB125, bitIndex2)),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18267, 18259])).
% 73.35/46.20 tff(18269,assumption,(~v90(constB125, bitIndex0)), introduced(assumption)).
% 73.35/46.20 tff(18270,assumption,(~v90(constB125, bitIndex2)), introduced(assumption)).
% 73.35/46.20 tff(18271,assumption,(~v121(constB125)), introduced(assumption)).
% 73.35/46.20 tff(18272,plain,
% 73.35/46.20 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v121(constB125))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v121(constB125))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18273,plain,
% 73.35/46.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v121(constB125))),
% 73.35/46.20 inference(quant_inst,[status(thm)],[])).
% 73.35/46.20 tff(18274,plain,
% 73.35/46.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2) | v121(constB125)),
% 73.35/46.20 inference(modus_ponens,[status(thm)],[18273, 18272])).
% 73.35/46.20 tff(18275,plain,
% 73.35/46.20 (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | v90(constB125, bitIndex2)),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18274, 965, 18271])).
% 73.35/46.20 tff(18276,plain,
% 73.35/46.20 (~v90(constB125, bitIndex1)),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18275, 18270, 18269])).
% 73.35/46.20 tff(18277,plain,
% 73.35/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18278,plain,
% 73.35/46.20 (((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1)) <=> ((~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18279,plain,
% 73.35/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1)))),
% 73.35/46.20 inference(monotonicity,[status(thm)],[18278])).
% 73.35/46.20 tff(18280,plain,
% 73.35/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))),
% 73.35/46.20 inference(transitivity,[status(thm)],[18279, 18277])).
% 73.35/46.20 tff(18281,plain,
% 73.35/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1))),
% 73.35/46.20 inference(quant_inst,[status(thm)],[])).
% 73.35/46.20 tff(18282,plain,
% 73.35/46.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1)),
% 73.35/46.20 inference(modus_ponens,[status(thm)],[18281, 18280])).
% 73.35/46.20 tff(18283,plain,
% 73.35/46.20 ((~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1)),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18282, 872, 18213])).
% 73.35/46.20 tff(18284,plain,
% 73.35/46.20 ((~v90(constB124, bitIndex1)) | v90(constB125, bitIndex1)),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18283, 18225])).
% 73.35/46.20 tff(18285,plain,
% 73.35/46.20 (~v90(constB124, bitIndex1)),
% 73.35/46.20 inference(unit_resolution,[status(thm)],[18284, 18276])).
% 73.35/46.20 tff(18286,plain,
% 73.35/46.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex0))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.20 tff(18287,plain,
% 73.35/46.20 (((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex0)) | v100(constB125) | v90(constB125, bitIndex0)) <=> ((~v90(constB124, bitIndex0)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex0))),
% 73.35/46.20 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18288,plain,
% 73.35/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex0)) | v100(constB125) | v90(constB125, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex0)))),
% 73.35/46.21 inference(monotonicity,[status(thm)],[18287])).
% 73.35/46.21 tff(18289,plain,
% 73.35/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex0)) | v100(constB125) | v90(constB125, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex0))),
% 73.35/46.21 inference(transitivity,[status(thm)],[18288, 18286])).
% 73.35/46.21 tff(18290,plain,
% 73.35/46.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex0)) | v100(constB125) | v90(constB125, bitIndex0))),
% 73.35/46.21 inference(quant_inst,[status(thm)],[])).
% 73.35/46.21 tff(18291,plain,
% 73.35/46.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex0)),
% 73.35/46.21 inference(modus_ponens,[status(thm)],[18290, 18289])).
% 73.35/46.21 tff(18292,plain,
% 73.35/46.21 ((~v90(constB124, bitIndex0)) | v100(constB125) | v90(constB125, bitIndex0)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18291, 437, 18213])).
% 73.35/46.21 tff(18293,plain,
% 73.35/46.21 ((~v90(constB124, bitIndex0)) | v90(constB125, bitIndex0)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18292, 18225])).
% 73.35/46.21 tff(18294,plain,
% 73.35/46.21 (~v90(constB124, bitIndex0)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18293, 18269])).
% 73.35/46.21 tff(18295,plain,
% 73.35/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex2))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18296,plain,
% 73.35/46.21 (((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex2)) | v100(constB125) | v90(constB125, bitIndex2)) <=> ((~v90(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex2))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18297,plain,
% 73.35/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex2)) | v100(constB125) | v90(constB125, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex2)))),
% 73.35/46.21 inference(monotonicity,[status(thm)],[18296])).
% 73.35/46.21 tff(18298,plain,
% 73.35/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex2)) | v100(constB125) | v90(constB125, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex2))),
% 73.35/46.21 inference(transitivity,[status(thm)],[18297, 18295])).
% 73.35/46.21 tff(18299,plain,
% 73.35/46.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex2)) | v100(constB125) | v90(constB125, bitIndex2))),
% 73.35/46.21 inference(quant_inst,[status(thm)],[])).
% 73.35/46.21 tff(18300,plain,
% 73.35/46.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex2)),
% 73.35/46.21 inference(modus_ponens,[status(thm)],[18299, 18298])).
% 73.35/46.21 tff(18301,plain,
% 73.35/46.21 ((~v90(constB124, bitIndex2)) | v100(constB125) | v90(constB125, bitIndex2)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18300, 1370, 18213])).
% 73.35/46.21 tff(18302,plain,
% 73.35/46.21 ((~v90(constB124, bitIndex2)) | v90(constB125, bitIndex2)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18301, 18225])).
% 73.35/46.21 tff(18303,plain,
% 73.35/46.21 (~v90(constB124, bitIndex2)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18302, 18270])).
% 73.35/46.21 tff(18304,assumption,(~v90(constB124, bitIndex2)), introduced(assumption)).
% 73.35/46.21 tff(18305,assumption,(v90(constB123, bitIndex2)), introduced(assumption)).
% 73.35/46.21 tff(18306,plain,
% 73.35/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB123, bitIndex2)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB123, bitIndex2)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex2))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18307,plain,
% 73.35/46.21 (((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex2)) | v100(constB124) | v90(constB124, bitIndex2)) <=> ((~v90(constB123, bitIndex2)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex2))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18308,plain,
% 73.35/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex2)) | v100(constB124) | v90(constB124, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB123, bitIndex2)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex2)))),
% 73.35/46.21 inference(monotonicity,[status(thm)],[18307])).
% 73.35/46.21 tff(18309,plain,
% 73.35/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex2)) | v100(constB124) | v90(constB124, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB123, bitIndex2)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex2))),
% 73.35/46.21 inference(transitivity,[status(thm)],[18308, 18306])).
% 73.35/46.21 tff(18310,plain,
% 73.35/46.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex2)) | v100(constB124) | v90(constB124, bitIndex2))),
% 73.35/46.21 inference(quant_inst,[status(thm)],[])).
% 73.35/46.21 tff(18311,plain,
% 73.35/46.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB123, bitIndex2)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex2)),
% 73.35/46.21 inference(modus_ponens,[status(thm)],[18310, 18309])).
% 73.35/46.21 tff(18312,plain,
% 73.35/46.21 ((~v90(constB123, bitIndex2)) | v100(constB124) | v90(constB124, bitIndex2)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18311, 1370, 18148])).
% 73.35/46.21 tff(18313,plain,
% 73.35/46.21 (v100(constB124)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18312, 18305, 18304])).
% 73.35/46.21 tff(18314,assumption,(~v90(constB124, bitIndex0)), introduced(assumption)).
% 73.35/46.21 tff(18315,plain,
% 73.35/46.21 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB124, bitIndex0) | (~v129(constB124, bitIndex0)) | (~v100(constB124)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~v129(constB124, bitIndex0)) | (~v100(constB124)))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18316,plain,
% 73.35/46.21 ((v90(constB124, bitIndex0) | (~v100(constB124)) | (~v129(constB124, bitIndex0))) <=> (v90(constB124, bitIndex0) | (~v129(constB124, bitIndex0)) | (~v100(constB124)))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18317,plain,
% 73.35/46.21 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB124, bitIndex0) | (~v100(constB124)) | (~v129(constB124, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB124, bitIndex0) | (~v129(constB124, bitIndex0)) | (~v100(constB124))))),
% 73.35/46.21 inference(monotonicity,[status(thm)],[18316])).
% 73.35/46.21 tff(18318,plain,
% 73.35/46.21 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB124, bitIndex0) | (~v100(constB124)) | (~v129(constB124, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~v129(constB124, bitIndex0)) | (~v100(constB124)))),
% 73.35/46.21 inference(transitivity,[status(thm)],[18317, 18315])).
% 73.35/46.21 tff(18319,plain,
% 73.35/46.21 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB124, bitIndex0) | (~v100(constB124)) | (~v129(constB124, bitIndex0)))),
% 73.35/46.21 inference(quant_inst,[status(thm)],[])).
% 73.35/46.21 tff(18320,plain,
% 73.35/46.21 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB124, bitIndex0) | (~v129(constB124, bitIndex0)) | (~v100(constB124))),
% 73.35/46.21 inference(modus_ponens,[status(thm)],[18319, 18318])).
% 73.35/46.21 tff(18321,plain,
% 73.35/46.21 ((~v129(constB124, bitIndex0)) | (~v100(constB124))),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18320, 401, 18314])).
% 73.35/46.21 tff(18322,plain,
% 73.35/46.21 (~v129(constB124, bitIndex0)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18321, 18313])).
% 73.35/46.21 tff(18323,plain,
% 73.35/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex0)) | v129(constB124, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex0)) | v129(constB124, bitIndex0))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18324,plain,
% 73.35/46.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex0)) | v129(constB124, bitIndex0))),
% 73.35/46.21 inference(quant_inst,[status(thm)],[])).
% 73.35/46.21 tff(18325,plain,
% 73.35/46.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex0)) | v129(constB124, bitIndex0)),
% 73.35/46.21 inference(modus_ponens,[status(thm)],[18324, 18323])).
% 73.35/46.21 tff(18326,plain,
% 73.35/46.21 ((~v127(constB123, bitIndex0)) | v129(constB124, bitIndex0)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18325, 197, 18148])).
% 73.35/46.21 tff(18327,plain,
% 73.35/46.21 (~v127(constB123, bitIndex0)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18326, 18322])).
% 73.35/46.21 tff(18328,plain,
% 73.35/46.21 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB123) | (~v130(constB123, bitIndex0)) | v127(constB123, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB123) | (~v130(constB123, bitIndex0)) | v127(constB123, bitIndex0))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18329,plain,
% 73.35/46.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB123) | (~v130(constB123, bitIndex0)) | v127(constB123, bitIndex0))),
% 73.35/46.21 inference(quant_inst,[status(thm)],[])).
% 73.35/46.21 tff(18330,plain,
% 73.35/46.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB123) | (~v130(constB123, bitIndex0)) | v127(constB123, bitIndex0)),
% 73.35/46.21 inference(modus_ponens,[status(thm)],[18329, 18328])).
% 73.35/46.21 tff(18331,plain,
% 73.35/46.21 ((~v130(constB123, bitIndex0)) | v127(constB123, bitIndex0)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18330, 179, 18133])).
% 73.35/46.21 tff(18332,plain,
% 73.35/46.21 (~v130(constB123, bitIndex0)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18331, 18327])).
% 73.35/46.21 tff(18333,plain,
% 73.35/46.21 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB123)) | v130(constB123, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB123)) | v130(constB123, bitIndex0))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18334,plain,
% 73.35/46.21 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB123)) | v130(constB123, bitIndex0))),
% 73.35/46.21 inference(quant_inst,[status(thm)],[])).
% 73.35/46.21 tff(18335,plain,
% 73.35/46.21 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB123)) | v130(constB123, bitIndex0)),
% 73.35/46.21 inference(modus_ponens,[status(thm)],[18334, 18333])).
% 73.35/46.21 tff(18336,plain,
% 73.35/46.21 (~v123(constB123)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18335, 1666, 18332])).
% 73.35/46.21 tff(18337,plain,
% 73.35/46.21 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2)) | (~v100(constB124)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2)) | (~v100(constB124)))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18338,plain,
% 73.35/46.21 ((v90(constB124, bitIndex2) | (~v100(constB124)) | (~v129(constB124, bitIndex2))) <=> (v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2)) | (~v100(constB124)))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18339,plain,
% 73.35/46.21 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~v100(constB124)) | (~v129(constB124, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2)) | (~v100(constB124))))),
% 73.35/46.21 inference(monotonicity,[status(thm)],[18338])).
% 73.35/46.21 tff(18340,plain,
% 73.35/46.21 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~v100(constB124)) | (~v129(constB124, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2)) | (~v100(constB124)))),
% 73.35/46.21 inference(transitivity,[status(thm)],[18339, 18337])).
% 73.35/46.21 tff(18341,plain,
% 73.35/46.21 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~v100(constB124)) | (~v129(constB124, bitIndex2)))),
% 73.35/46.21 inference(quant_inst,[status(thm)],[])).
% 73.35/46.21 tff(18342,plain,
% 73.35/46.21 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2)) | (~v100(constB124))),
% 73.35/46.21 inference(modus_ponens,[status(thm)],[18341, 18340])).
% 73.35/46.21 tff(18343,plain,
% 73.35/46.21 ((~v129(constB124, bitIndex2)) | (~v100(constB124))),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18342, 1334, 18304])).
% 73.35/46.21 tff(18344,plain,
% 73.35/46.21 (~v129(constB124, bitIndex2)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18343, 18313])).
% 73.35/46.21 tff(18345,plain,
% 73.35/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex2)) | v129(constB124, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex2)) | v129(constB124, bitIndex2))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18346,plain,
% 73.35/46.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex2)) | v129(constB124, bitIndex2))),
% 73.35/46.21 inference(quant_inst,[status(thm)],[])).
% 73.35/46.21 tff(18347,plain,
% 73.35/46.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex2)) | v129(constB124, bitIndex2)),
% 73.35/46.21 inference(modus_ponens,[status(thm)],[18346, 18345])).
% 73.35/46.21 tff(18348,plain,
% 73.35/46.21 ((~v127(constB123, bitIndex2)) | v129(constB124, bitIndex2)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18347, 1319, 18148])).
% 73.35/46.21 tff(18349,plain,
% 73.35/46.21 (~v127(constB123, bitIndex2)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18348, 18344])).
% 73.35/46.21 tff(18350,plain,
% 73.35/46.21 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB123) | (~v130(constB123, bitIndex2)) | v127(constB123, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB123) | (~v130(constB123, bitIndex2)) | v127(constB123, bitIndex2))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18351,plain,
% 73.35/46.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB123) | (~v130(constB123, bitIndex2)) | v127(constB123, bitIndex2))),
% 73.35/46.21 inference(quant_inst,[status(thm)],[])).
% 73.35/46.21 tff(18352,plain,
% 73.35/46.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB123) | (~v130(constB123, bitIndex2)) | v127(constB123, bitIndex2)),
% 73.35/46.21 inference(modus_ponens,[status(thm)],[18351, 18350])).
% 73.35/46.21 tff(18353,plain,
% 73.35/46.21 ((~v130(constB123, bitIndex2)) | v127(constB123, bitIndex2)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18352, 1304, 18133])).
% 73.35/46.21 tff(18354,plain,
% 73.35/46.21 (~v130(constB123, bitIndex2)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18353, 18349])).
% 73.35/46.21 tff(18355,plain,
% 73.35/46.21 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB123)) | v130(constB123, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB123)) | v130(constB123, bitIndex2))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18356,plain,
% 73.35/46.21 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB123)) | v130(constB123, bitIndex2))),
% 73.35/46.21 inference(quant_inst,[status(thm)],[])).
% 73.35/46.21 tff(18357,plain,
% 73.35/46.21 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB123)) | v130(constB123, bitIndex2)),
% 73.35/46.21 inference(modus_ponens,[status(thm)],[18356, 18355])).
% 73.35/46.21 tff(18358,plain,
% 73.35/46.21 (~v124(constB123)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18357, 1786, 18354])).
% 73.35/46.21 tff(18359,plain,
% 73.35/46.21 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB123)) | (~v90(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB123)) | (~v90(constB123, bitIndex2)))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18360,plain,
% 73.35/46.21 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB123)) | (~v90(constB123, bitIndex2)))),
% 73.35/46.21 inference(quant_inst,[status(thm)],[])).
% 73.35/46.21 tff(18361,plain,
% 73.35/46.21 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB123)) | (~v90(constB123, bitIndex2))),
% 73.35/46.21 inference(modus_ponens,[status(thm)],[18360, 18359])).
% 73.35/46.21 tff(18362,plain,
% 73.35/46.21 (~v119(constB123)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18361, 4514, 18305])).
% 73.35/46.21 tff(18363,plain,
% 73.35/46.21 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB123, bitIndex2)) | (~v120(constB123)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB123, bitIndex2)) | (~v120(constB123)))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18364,plain,
% 73.35/46.21 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB123, bitIndex2)) | (~v120(constB123)))),
% 73.35/46.21 inference(quant_inst,[status(thm)],[])).
% 73.35/46.21 tff(18365,plain,
% 73.35/46.21 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB123, bitIndex2)) | (~v120(constB123))),
% 73.35/46.21 inference(modus_ponens,[status(thm)],[18364, 18363])).
% 73.35/46.21 tff(18366,plain,
% 73.35/46.21 (~v120(constB123)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18365, 4525, 18305])).
% 73.35/46.21 tff(18367,plain,
% 73.35/46.21 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB123, bitIndex2)) | (~v121(constB123)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB123, bitIndex2)) | (~v121(constB123)))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18368,plain,
% 73.35/46.21 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB123, bitIndex2)) | (~v121(constB123)))),
% 73.35/46.21 inference(quant_inst,[status(thm)],[])).
% 73.35/46.21 tff(18369,plain,
% 73.35/46.21 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB123, bitIndex2)) | (~v121(constB123))),
% 73.35/46.21 inference(modus_ponens,[status(thm)],[18368, 18367])).
% 73.35/46.21 tff(18370,plain,
% 73.35/46.21 (~v121(constB123)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18369, 1842, 18305])).
% 73.35/46.21 tff(18371,plain,
% 73.35/46.21 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB123, bitIndex2)) | (~v122(constB123)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB123, bitIndex2)) | (~v122(constB123)))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18372,plain,
% 73.35/46.21 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB123, bitIndex2)) | (~v122(constB123)))),
% 73.35/46.21 inference(quant_inst,[status(thm)],[])).
% 73.35/46.21 tff(18373,plain,
% 73.35/46.21 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB123, bitIndex2)) | (~v122(constB123))),
% 73.35/46.21 inference(modus_ponens,[status(thm)],[18372, 18371])).
% 73.35/46.21 tff(18374,plain,
% 73.35/46.21 (~v122(constB123)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18373, 1853, 18305])).
% 73.35/46.21 tff(18375,plain,
% 73.35/46.21 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB123) | v119(constB123) | v121(constB123) | v124(constB123) | v120(constB123) | v122(constB123) | v130(constB123, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB123) | v119(constB123) | v121(constB123) | v124(constB123) | v120(constB123) | v122(constB123) | v130(constB123, bitIndex0))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18376,plain,
% 73.35/46.21 ((v120(constB123) | v119(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | v130(constB123, bitIndex0)) <=> (v123(constB123) | v119(constB123) | v121(constB123) | v124(constB123) | v120(constB123) | v122(constB123) | v130(constB123, bitIndex0))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18377,plain,
% 73.35/46.21 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB123) | v119(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | v130(constB123, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB123) | v119(constB123) | v121(constB123) | v124(constB123) | v120(constB123) | v122(constB123) | v130(constB123, bitIndex0)))),
% 73.35/46.21 inference(monotonicity,[status(thm)],[18376])).
% 73.35/46.21 tff(18378,plain,
% 73.35/46.21 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB123) | v119(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | v130(constB123, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB123) | v119(constB123) | v121(constB123) | v124(constB123) | v120(constB123) | v122(constB123) | v130(constB123, bitIndex0))),
% 73.35/46.21 inference(transitivity,[status(thm)],[18377, 18375])).
% 73.35/46.21 tff(18379,plain,
% 73.35/46.21 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB123) | v119(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | v130(constB123, bitIndex0))),
% 73.35/46.21 inference(quant_inst,[status(thm)],[])).
% 73.35/46.21 tff(18380,plain,
% 73.35/46.21 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB123) | v119(constB123) | v121(constB123) | v124(constB123) | v120(constB123) | v122(constB123) | v130(constB123, bitIndex0)),
% 73.35/46.21 inference(modus_ponens,[status(thm)],[18379, 18378])).
% 73.35/46.21 tff(18381,plain,
% 73.35/46.21 (v123(constB123) | v124(constB123)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18380, 2192, 18332, 18374, 18370, 18366, 18362])).
% 73.35/46.21 tff(18382,plain,
% 73.35/46.21 ($false),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18381, 18358, 18336])).
% 73.35/46.21 tff(18383,plain,((~v90(constB123, bitIndex2)) | v90(constB124, bitIndex2) | v90(constB124, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.35/46.21 tff(18384,plain,
% 73.35/46.21 (~v90(constB123, bitIndex2)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18383, 18303, 18294])).
% 73.35/46.21 tff(18385,assumption,(~v90(constB123, bitIndex2)), introduced(assumption)).
% 73.35/46.21 tff(18386,assumption,(~v100(constB124)), introduced(assumption)).
% 73.35/46.21 tff(18387,plain,
% 73.35/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB123, bitIndex0)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB123, bitIndex0)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex0))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18388,plain,
% 73.35/46.21 (((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex0)) | v100(constB124) | v90(constB124, bitIndex0)) <=> ((~v90(constB123, bitIndex0)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex0))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18389,plain,
% 73.35/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex0)) | v100(constB124) | v90(constB124, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB123, bitIndex0)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex0)))),
% 73.35/46.21 inference(monotonicity,[status(thm)],[18388])).
% 73.35/46.21 tff(18390,plain,
% 73.35/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex0)) | v100(constB124) | v90(constB124, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB123, bitIndex0)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex0))),
% 73.35/46.21 inference(transitivity,[status(thm)],[18389, 18387])).
% 73.35/46.21 tff(18391,plain,
% 73.35/46.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex0)) | v100(constB124) | v90(constB124, bitIndex0))),
% 73.35/46.21 inference(quant_inst,[status(thm)],[])).
% 73.35/46.21 tff(18392,plain,
% 73.35/46.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB123, bitIndex0)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex0)),
% 73.35/46.21 inference(modus_ponens,[status(thm)],[18391, 18390])).
% 73.35/46.21 tff(18393,plain,
% 73.35/46.21 ((~v90(constB123, bitIndex0)) | v100(constB124) | v90(constB124, bitIndex0)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18392, 437, 18148])).
% 73.35/46.21 tff(18394,plain,
% 73.35/46.21 (~v90(constB123, bitIndex0)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18393, 18386, 18314])).
% 73.35/46.21 tff(18395,assumption,(~v90(constB123, bitIndex0)), introduced(assumption)).
% 73.35/46.21 tff(18396,assumption,(~v121(constB123)), introduced(assumption)).
% 73.35/46.21 tff(18397,plain,
% 73.35/46.21 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB123, bitIndex0) | (~v90(constB123, bitIndex1)) | v90(constB123, bitIndex2) | v121(constB123))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB123, bitIndex0) | (~v90(constB123, bitIndex1)) | v90(constB123, bitIndex2) | v121(constB123))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18398,plain,
% 73.35/46.21 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB123, bitIndex0) | (~v90(constB123, bitIndex1)) | v90(constB123, bitIndex2) | v121(constB123))),
% 73.35/46.21 inference(quant_inst,[status(thm)],[])).
% 73.35/46.21 tff(18399,plain,
% 73.35/46.21 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB123, bitIndex0) | (~v90(constB123, bitIndex1)) | v90(constB123, bitIndex2) | v121(constB123)),
% 73.35/46.21 inference(modus_ponens,[status(thm)],[18398, 18397])).
% 73.35/46.21 tff(18400,plain,
% 73.35/46.21 (v90(constB123, bitIndex0) | (~v90(constB123, bitIndex1)) | v90(constB123, bitIndex2)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18399, 965, 18396])).
% 73.35/46.21 tff(18401,plain,
% 73.35/46.21 (~v90(constB123, bitIndex1)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18400, 18385, 18395])).
% 73.35/46.21 tff(18402,plain,
% 73.35/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex1))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18403,plain,
% 73.35/46.21 (((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex1)) | v100(constB123) | v90(constB123, bitIndex1)) <=> ((~v90(constB122, bitIndex1)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex1))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18404,plain,
% 73.35/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex1)) | v100(constB123) | v90(constB123, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex1)))),
% 73.35/46.21 inference(monotonicity,[status(thm)],[18403])).
% 73.35/46.21 tff(18405,plain,
% 73.35/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex1)) | v100(constB123) | v90(constB123, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex1))),
% 73.35/46.21 inference(transitivity,[status(thm)],[18404, 18402])).
% 73.35/46.21 tff(18406,plain,
% 73.35/46.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex1)) | v100(constB123) | v90(constB123, bitIndex1))),
% 73.35/46.21 inference(quant_inst,[status(thm)],[])).
% 73.35/46.21 tff(18407,plain,
% 73.35/46.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex1)),
% 73.35/46.21 inference(modus_ponens,[status(thm)],[18406, 18405])).
% 73.35/46.21 tff(18408,plain,
% 73.35/46.21 ((~v90(constB122, bitIndex1)) | v100(constB123) | v90(constB123, bitIndex1)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18407, 872, 18000])).
% 73.35/46.21 tff(18409,plain,
% 73.35/46.21 ((~v90(constB122, bitIndex1)) | v90(constB123, bitIndex1)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18408, 18012])).
% 73.35/46.21 tff(18410,plain,
% 73.35/46.21 (~v90(constB122, bitIndex1)),
% 73.35/46.21 inference(unit_resolution,[status(thm)],[18409, 18401])).
% 73.35/46.21 tff(18411,plain,
% 73.35/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex2))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18412,plain,
% 73.35/46.21 (((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex2)) | v100(constB123) | v90(constB123, bitIndex2)) <=> ((~v90(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex2))),
% 73.35/46.21 inference(rewrite,[status(thm)],[])).
% 73.35/46.21 tff(18413,plain,
% 73.35/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex2)) | v100(constB123) | v90(constB123, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex2)))),
% 73.35/46.21 inference(monotonicity,[status(thm)],[18412])).
% 73.35/46.21 tff(18414,plain,
% 73.35/46.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex2)) | v100(constB123) | v90(constB123, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex2))),
% 73.35/46.21 inference(transitivity,[status(thm)],[18413, 18411])).
% 73.35/46.21 tff(18415,plain,
% 73.35/46.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex2)) | v100(constB123) | v90(constB123, bitIndex2))),
% 73.35/46.22 inference(quant_inst,[status(thm)],[])).
% 73.35/46.22 tff(18416,plain,
% 73.35/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex2)),
% 73.35/46.22 inference(modus_ponens,[status(thm)],[18415, 18414])).
% 73.35/46.22 tff(18417,plain,
% 73.35/46.22 ((~v90(constB122, bitIndex2)) | v100(constB123) | v90(constB123, bitIndex2)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18416, 1370, 18000])).
% 73.35/46.22 tff(18418,plain,
% 73.35/46.22 ((~v90(constB122, bitIndex2)) | v90(constB123, bitIndex2)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18417, 18012])).
% 73.35/46.22 tff(18419,plain,
% 73.35/46.22 (~v90(constB122, bitIndex2)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18418, 18385])).
% 73.35/46.22 tff(18420,assumption,(~v90(constB122, bitIndex2)), introduced(assumption)).
% 73.35/46.22 tff(18421,assumption,(~v100(constB122)), introduced(assumption)).
% 73.35/46.22 tff(18422,assumption,(~v90(constB122, bitIndex1)), introduced(assumption)).
% 73.35/46.22 tff(18423,plain,
% 73.35/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB121, bitIndex1)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB121, bitIndex1)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, bitIndex1))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18424,plain,
% 73.35/46.22 (((~nextState(constB121, constB122)) | (~v90(constB121, bitIndex1)) | v100(constB122) | v90(constB122, bitIndex1)) <=> ((~v90(constB121, bitIndex1)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, bitIndex1))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18425,plain,
% 73.35/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB121, constB122)) | (~v90(constB121, bitIndex1)) | v100(constB122) | v90(constB122, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB121, bitIndex1)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, bitIndex1)))),
% 73.35/46.22 inference(monotonicity,[status(thm)],[18424])).
% 73.35/46.22 tff(18426,plain,
% 73.35/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB121, constB122)) | (~v90(constB121, bitIndex1)) | v100(constB122) | v90(constB122, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB121, bitIndex1)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, bitIndex1))),
% 73.35/46.22 inference(transitivity,[status(thm)],[18425, 18423])).
% 73.35/46.22 tff(18427,plain,
% 73.35/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB121, constB122)) | (~v90(constB121, bitIndex1)) | v100(constB122) | v90(constB122, bitIndex1))),
% 73.35/46.22 inference(quant_inst,[status(thm)],[])).
% 73.35/46.22 tff(18428,plain,
% 73.35/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB121, bitIndex1)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, bitIndex1)),
% 73.35/46.22 inference(modus_ponens,[status(thm)],[18427, 18426])).
% 73.35/46.22 tff(18429,plain,
% 73.35/46.22 ((~v90(constB121, bitIndex1)) | v100(constB122) | v90(constB122, bitIndex1)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18428, 872, 17916])).
% 73.35/46.22 tff(18430,plain,
% 73.35/46.22 (~v90(constB121, bitIndex1)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18429, 18421, 18422])).
% 73.35/46.22 tff(18431,plain,
% 73.35/46.22 (~v110(constB122)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[17949, 18421])).
% 73.35/46.22 tff(18432,plain,
% 73.35/46.22 (~v108(constB121)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[17923, 18431])).
% 73.35/46.22 tff(18433,plain,
% 73.35/46.22 (~v112(constB121)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[17912, 210, 18432])).
% 73.35/46.22 tff(18434,plain,
% 73.35/46.22 (~v113(constB121)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[17908, 18433])).
% 73.35/46.22 tff(18435,plain,
% 73.35/46.22 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB121) | (~v114(constB121)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB121) | (~v114(constB121)))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18436,plain,
% 73.35/46.22 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB121) | (~v114(constB121)))),
% 73.35/46.22 inference(quant_inst,[status(thm)],[])).
% 73.35/46.22 tff(18437,plain,
% 73.35/46.22 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB121) | (~v114(constB121))),
% 73.35/46.22 inference(modus_ponens,[status(thm)],[18436, 18435])).
% 73.35/46.22 tff(18438,plain,
% 73.35/46.22 (~v114(constB121)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18437, 287, 18434])).
% 73.35/46.22 tff(18439,plain,
% 73.35/46.22 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB121) | (~v115(constB121)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB121) | (~v115(constB121)))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18440,plain,
% 73.35/46.22 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB121) | (~v115(constB121)))),
% 73.35/46.22 inference(quant_inst,[status(thm)],[])).
% 73.35/46.22 tff(18441,plain,
% 73.35/46.22 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB121) | (~v115(constB121))),
% 73.35/46.22 inference(modus_ponens,[status(thm)],[18440, 18439])).
% 73.35/46.22 tff(18442,plain,
% 73.35/46.22 (~v115(constB121)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18441, 276, 18438])).
% 73.35/46.22 tff(18443,plain,
% 73.35/46.22 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB121) | (~v116(constB121)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB121) | (~v116(constB121)))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18444,plain,
% 73.35/46.22 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB121) | (~v116(constB121)))),
% 73.35/46.22 inference(quant_inst,[status(thm)],[])).
% 73.35/46.22 tff(18445,plain,
% 73.35/46.22 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB121) | (~v116(constB121))),
% 73.35/46.22 inference(modus_ponens,[status(thm)],[18444, 18443])).
% 73.35/46.22 tff(18446,plain,
% 73.35/46.22 (~v116(constB121)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18445, 265, 18442])).
% 73.35/46.22 tff(18447,plain,
% 73.35/46.22 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB121) | (~v117(constB121)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB121) | (~v117(constB121)))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18448,plain,
% 73.35/46.22 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB121) | (~v117(constB121)))),
% 73.35/46.22 inference(quant_inst,[status(thm)],[])).
% 73.35/46.22 tff(18449,plain,
% 73.35/46.22 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB121) | (~v117(constB121))),
% 73.35/46.22 inference(modus_ponens,[status(thm)],[18448, 18447])).
% 73.35/46.22 tff(18450,plain,
% 73.35/46.22 (~v117(constB121)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18449, 254, 18446])).
% 73.35/46.22 tff(18451,plain,
% 73.35/46.22 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB121) | (~v118(constB121)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB121) | (~v118(constB121)))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18452,plain,
% 73.35/46.22 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB121) | (~v118(constB121)))),
% 73.35/46.22 inference(quant_inst,[status(thm)],[])).
% 73.35/46.22 tff(18453,plain,
% 73.35/46.22 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB121) | (~v118(constB121))),
% 73.35/46.22 inference(modus_ponens,[status(thm)],[18452, 18451])).
% 73.35/46.22 tff(18454,plain,
% 73.35/46.22 (~v118(constB121)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18453, 243, 18450])).
% 73.35/46.22 tff(18455,plain,
% 73.35/46.22 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB121) | (~v119(constB121)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB121) | (~v119(constB121)))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18456,plain,
% 73.35/46.22 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB121) | (~v119(constB121)))),
% 73.35/46.22 inference(quant_inst,[status(thm)],[])).
% 73.35/46.22 tff(18457,plain,
% 73.35/46.22 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB121) | (~v119(constB121))),
% 73.35/46.22 inference(modus_ponens,[status(thm)],[18456, 18455])).
% 73.35/46.22 tff(18458,plain,
% 73.35/46.22 (~v119(constB121)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18457, 232, 18454])).
% 73.35/46.22 tff(18459,plain,
% 73.35/46.22 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB121) | (~v120(constB121)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB121) | (~v120(constB121)))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18460,plain,
% 73.35/46.22 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB121) | (~v120(constB121)))),
% 73.35/46.22 inference(quant_inst,[status(thm)],[])).
% 73.35/46.22 tff(18461,plain,
% 73.35/46.22 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB121) | (~v120(constB121))),
% 73.35/46.22 inference(modus_ponens,[status(thm)],[18460, 18459])).
% 73.35/46.22 tff(18462,plain,
% 73.35/46.22 (~v120(constB121)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18461, 646, 18454])).
% 73.35/46.22 tff(18463,assumption,(~v90(constB121, bitIndex2)), introduced(assumption)).
% 73.35/46.22 tff(18464,plain,
% 73.35/46.22 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB121, bitIndex0)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | v120(constB121))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB121, bitIndex0)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | v120(constB121))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18465,plain,
% 73.35/46.22 (((~v90(constB121, bitIndex0)) | v120(constB121) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2)) <=> ((~v90(constB121, bitIndex0)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | v120(constB121))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18466,plain,
% 73.35/46.22 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB121, bitIndex0)) | v120(constB121) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB121, bitIndex0)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | v120(constB121)))),
% 73.35/46.22 inference(monotonicity,[status(thm)],[18465])).
% 73.35/46.22 tff(18467,plain,
% 73.35/46.22 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB121, bitIndex0)) | v120(constB121) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB121, bitIndex0)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | v120(constB121))),
% 73.35/46.22 inference(transitivity,[status(thm)],[18466, 18464])).
% 73.35/46.22 tff(18468,plain,
% 73.35/46.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB121, bitIndex0)) | v120(constB121) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2))),
% 73.35/46.22 inference(quant_inst,[status(thm)],[])).
% 73.35/46.22 tff(18469,plain,
% 73.35/46.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB121, bitIndex0)) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | v120(constB121)),
% 73.35/46.22 inference(modus_ponens,[status(thm)],[18468, 18467])).
% 73.35/46.22 tff(18470,plain,
% 73.35/46.22 ((~v90(constB121, bitIndex0)) | v90(constB121, bitIndex1) | v120(constB121)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18469, 631, 18463])).
% 73.35/46.22 tff(18471,plain,
% 73.35/46.22 (~v90(constB121, bitIndex0)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18470, 18462, 18430])).
% 73.35/46.22 tff(18472,plain,
% 73.35/46.22 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB121) | v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB121) | v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18473,plain,
% 73.35/46.22 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB121) | v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2))),
% 73.35/46.22 inference(quant_inst,[status(thm)],[])).
% 73.35/46.22 tff(18474,plain,
% 73.35/46.22 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB121) | v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2)),
% 73.35/46.22 inference(modus_ponens,[status(thm)],[18473, 18472])).
% 73.35/46.22 tff(18475,plain,
% 73.35/46.22 (v119(constB121) | v90(constB121, bitIndex0) | v90(constB121, bitIndex1)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18474, 151, 18463])).
% 73.35/46.22 tff(18476,plain,
% 73.35/46.22 ($false),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18475, 18471, 18458, 18430])).
% 73.35/46.22 tff(18477,plain,(v100(constB122) | v90(constB121, bitIndex2) | v90(constB122, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 73.35/46.22 tff(18478,plain,
% 73.35/46.22 (v90(constB121, bitIndex2)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18477, 18421, 18422])).
% 73.35/46.22 tff(18479,plain,
% 73.35/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB121, bitIndex2)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB121, bitIndex2)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, bitIndex2))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18480,plain,
% 73.35/46.22 (((~nextState(constB121, constB122)) | (~v90(constB121, bitIndex2)) | v100(constB122) | v90(constB122, bitIndex2)) <=> ((~v90(constB121, bitIndex2)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, bitIndex2))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18481,plain,
% 73.35/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB121, constB122)) | (~v90(constB121, bitIndex2)) | v100(constB122) | v90(constB122, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB121, bitIndex2)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, bitIndex2)))),
% 73.35/46.22 inference(monotonicity,[status(thm)],[18480])).
% 73.35/46.22 tff(18482,plain,
% 73.35/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB121, constB122)) | (~v90(constB121, bitIndex2)) | v100(constB122) | v90(constB122, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB121, bitIndex2)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, bitIndex2))),
% 73.35/46.22 inference(transitivity,[status(thm)],[18481, 18479])).
% 73.35/46.22 tff(18483,plain,
% 73.35/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB121, constB122)) | (~v90(constB121, bitIndex2)) | v100(constB122) | v90(constB122, bitIndex2))),
% 73.35/46.22 inference(quant_inst,[status(thm)],[])).
% 73.35/46.22 tff(18484,plain,
% 73.35/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB121, bitIndex2)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, bitIndex2)),
% 73.35/46.22 inference(modus_ponens,[status(thm)],[18483, 18482])).
% 73.35/46.22 tff(18485,plain,
% 73.35/46.22 ((~v90(constB121, bitIndex2)) | v100(constB122) | v90(constB122, bitIndex2)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18484, 1370, 17916])).
% 73.35/46.22 tff(18486,plain,
% 73.35/46.22 ($false),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18485, 18478, 18421, 18420])).
% 73.35/46.22 tff(18487,plain,(v100(constB122) | v90(constB122, bitIndex2) | v90(constB122, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 73.35/46.22 tff(18488,plain,
% 73.35/46.22 (v100(constB122)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18487, 18419, 18410])).
% 73.35/46.22 tff(18489,plain,
% 73.35/46.22 (~v90(constB122, bitIndex0)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18055, 18395])).
% 73.35/46.22 tff(18490,plain,
% 73.35/46.22 ((~v129(constB122, bitIndex0)) | (~v100(constB122))),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18045, 401, 18489])).
% 73.35/46.22 tff(18491,plain,
% 73.35/46.22 (~v129(constB122, bitIndex0)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18490, 18488])).
% 73.35/46.22 tff(18492,plain,
% 73.35/46.22 (~v127(constB121, bitIndex0)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18038, 18491])).
% 73.35/46.22 tff(18493,plain,
% 73.35/46.22 (~v130(constB121, bitIndex0)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18033, 18492])).
% 73.35/46.22 tff(18494,plain,
% 73.35/46.22 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB121)) | v130(constB121, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB121)) | v130(constB121, bitIndex0))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18495,plain,
% 73.35/46.22 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB121)) | v130(constB121, bitIndex0))),
% 73.35/46.22 inference(quant_inst,[status(thm)],[])).
% 73.35/46.22 tff(18496,plain,
% 73.35/46.22 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB121)) | v130(constB121, bitIndex0)),
% 73.35/46.22 inference(modus_ponens,[status(thm)],[18495, 18494])).
% 73.35/46.22 tff(18497,plain,
% 73.35/46.22 (~v119(constB121)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18496, 165, 18493])).
% 73.35/46.22 tff(18498,plain,
% 73.35/46.22 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB121)) | v130(constB121, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB121)) | v130(constB121, bitIndex0))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18499,plain,
% 73.35/46.22 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB121)) | v130(constB121, bitIndex0))),
% 73.35/46.22 inference(quant_inst,[status(thm)],[])).
% 73.35/46.22 tff(18500,plain,
% 73.35/46.22 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB121)) | v130(constB121, bitIndex0)),
% 73.35/46.22 inference(modus_ponens,[status(thm)],[18499, 18498])).
% 73.35/46.22 tff(18501,plain,
% 73.35/46.22 (~v123(constB121)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18500, 1666, 18493])).
% 73.35/46.22 tff(18502,plain,
% 73.35/46.22 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2)) | (~v100(constB122)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2)) | (~v100(constB122)))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18503,plain,
% 73.35/46.22 ((v90(constB122, bitIndex2) | (~v100(constB122)) | (~v129(constB122, bitIndex2))) <=> (v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2)) | (~v100(constB122)))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18504,plain,
% 73.35/46.22 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~v100(constB122)) | (~v129(constB122, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2)) | (~v100(constB122))))),
% 73.35/46.22 inference(monotonicity,[status(thm)],[18503])).
% 73.35/46.22 tff(18505,plain,
% 73.35/46.22 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~v100(constB122)) | (~v129(constB122, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2)) | (~v100(constB122)))),
% 73.35/46.22 inference(transitivity,[status(thm)],[18504, 18502])).
% 73.35/46.22 tff(18506,plain,
% 73.35/46.22 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~v100(constB122)) | (~v129(constB122, bitIndex2)))),
% 73.35/46.22 inference(quant_inst,[status(thm)],[])).
% 73.35/46.22 tff(18507,plain,
% 73.35/46.22 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2)) | (~v100(constB122))),
% 73.35/46.22 inference(modus_ponens,[status(thm)],[18506, 18505])).
% 73.35/46.22 tff(18508,plain,
% 73.35/46.22 ((~v129(constB122, bitIndex2)) | (~v100(constB122))),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18507, 1334, 18419])).
% 73.35/46.22 tff(18509,plain,
% 73.35/46.22 (~v129(constB122, bitIndex2)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18508, 18488])).
% 73.35/46.22 tff(18510,plain,
% 73.35/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB121, constB122)) | (~v127(constB121, bitIndex2)) | v129(constB122, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB121, constB122)) | (~v127(constB121, bitIndex2)) | v129(constB122, bitIndex2))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18511,plain,
% 73.35/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB121, constB122)) | (~v127(constB121, bitIndex2)) | v129(constB122, bitIndex2))),
% 73.35/46.22 inference(quant_inst,[status(thm)],[])).
% 73.35/46.22 tff(18512,plain,
% 73.35/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB121, constB122)) | (~v127(constB121, bitIndex2)) | v129(constB122, bitIndex2)),
% 73.35/46.22 inference(modus_ponens,[status(thm)],[18511, 18510])).
% 73.35/46.22 tff(18513,plain,
% 73.35/46.22 ((~v127(constB121, bitIndex2)) | v129(constB122, bitIndex2)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18512, 1319, 17916])).
% 73.35/46.22 tff(18514,plain,
% 73.35/46.22 (~v127(constB121, bitIndex2)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18513, 18509])).
% 73.35/46.22 tff(18515,plain,
% 73.35/46.22 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB121) | (~v130(constB121, bitIndex2)) | v127(constB121, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB121) | (~v130(constB121, bitIndex2)) | v127(constB121, bitIndex2))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18516,plain,
% 73.35/46.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB121) | (~v130(constB121, bitIndex2)) | v127(constB121, bitIndex2))),
% 73.35/46.22 inference(quant_inst,[status(thm)],[])).
% 73.35/46.22 tff(18517,plain,
% 73.35/46.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB121) | (~v130(constB121, bitIndex2)) | v127(constB121, bitIndex2)),
% 73.35/46.22 inference(modus_ponens,[status(thm)],[18516, 18515])).
% 73.35/46.22 tff(18518,plain,
% 73.35/46.22 ((~v130(constB121, bitIndex2)) | v127(constB121, bitIndex2)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18517, 1304, 17901])).
% 73.35/46.22 tff(18519,plain,
% 73.35/46.22 (~v130(constB121, bitIndex2)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18518, 18514])).
% 73.35/46.22 tff(18520,plain,
% 73.35/46.22 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB121)) | v130(constB121, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB121)) | v130(constB121, bitIndex2))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18521,plain,
% 73.35/46.22 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB121)) | v130(constB121, bitIndex2))),
% 73.35/46.22 inference(quant_inst,[status(thm)],[])).
% 73.35/46.22 tff(18522,plain,
% 73.35/46.22 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB121)) | v130(constB121, bitIndex2)),
% 73.35/46.22 inference(modus_ponens,[status(thm)],[18521, 18520])).
% 73.35/46.22 tff(18523,plain,
% 73.35/46.22 (~v124(constB121)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18522, 1786, 18519])).
% 73.35/46.22 tff(18524,plain,
% 73.35/46.22 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB122, bitIndex1) | (~v129(constB122, bitIndex1)) | (~v100(constB122)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB122, bitIndex1) | (~v129(constB122, bitIndex1)) | (~v100(constB122)))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18525,plain,
% 73.35/46.22 ((v90(constB122, bitIndex1) | (~v100(constB122)) | (~v129(constB122, bitIndex1))) <=> (v90(constB122, bitIndex1) | (~v129(constB122, bitIndex1)) | (~v100(constB122)))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18526,plain,
% 73.35/46.22 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB122, bitIndex1) | (~v100(constB122)) | (~v129(constB122, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB122, bitIndex1) | (~v129(constB122, bitIndex1)) | (~v100(constB122))))),
% 73.35/46.22 inference(monotonicity,[status(thm)],[18525])).
% 73.35/46.22 tff(18527,plain,
% 73.35/46.22 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB122, bitIndex1) | (~v100(constB122)) | (~v129(constB122, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB122, bitIndex1) | (~v129(constB122, bitIndex1)) | (~v100(constB122)))),
% 73.35/46.22 inference(transitivity,[status(thm)],[18526, 18524])).
% 73.35/46.22 tff(18528,plain,
% 73.35/46.22 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB122, bitIndex1) | (~v100(constB122)) | (~v129(constB122, bitIndex1)))),
% 73.35/46.22 inference(quant_inst,[status(thm)],[])).
% 73.35/46.22 tff(18529,plain,
% 73.35/46.22 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB122, bitIndex1) | (~v129(constB122, bitIndex1)) | (~v100(constB122))),
% 73.35/46.22 inference(modus_ponens,[status(thm)],[18528, 18527])).
% 73.35/46.22 tff(18530,plain,
% 73.35/46.22 ((~v129(constB122, bitIndex1)) | (~v100(constB122))),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18529, 854, 18410])).
% 73.35/46.22 tff(18531,plain,
% 73.35/46.22 (~v129(constB122, bitIndex1)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18530, 18488])).
% 73.35/46.22 tff(18532,plain,
% 73.35/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB121, constB122)) | (~v127(constB121, bitIndex1)) | v129(constB122, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB121, constB122)) | (~v127(constB121, bitIndex1)) | v129(constB122, bitIndex1))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18533,plain,
% 73.35/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB121, constB122)) | (~v127(constB121, bitIndex1)) | v129(constB122, bitIndex1))),
% 73.35/46.22 inference(quant_inst,[status(thm)],[])).
% 73.35/46.22 tff(18534,plain,
% 73.35/46.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB121, constB122)) | (~v127(constB121, bitIndex1)) | v129(constB122, bitIndex1)),
% 73.35/46.22 inference(modus_ponens,[status(thm)],[18533, 18532])).
% 73.35/46.22 tff(18535,plain,
% 73.35/46.22 ((~v127(constB121, bitIndex1)) | v129(constB122, bitIndex1)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18534, 839, 17916])).
% 73.35/46.22 tff(18536,plain,
% 73.35/46.22 (~v127(constB121, bitIndex1)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18535, 18531])).
% 73.35/46.22 tff(18537,plain,
% 73.35/46.22 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB121) | (~v130(constB121, bitIndex1)) | v127(constB121, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB121) | (~v130(constB121, bitIndex1)) | v127(constB121, bitIndex1))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18538,plain,
% 73.35/46.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB121) | (~v130(constB121, bitIndex1)) | v127(constB121, bitIndex1))),
% 73.35/46.22 inference(quant_inst,[status(thm)],[])).
% 73.35/46.22 tff(18539,plain,
% 73.35/46.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB121) | (~v130(constB121, bitIndex1)) | v127(constB121, bitIndex1)),
% 73.35/46.22 inference(modus_ponens,[status(thm)],[18538, 18537])).
% 73.35/46.22 tff(18540,plain,
% 73.35/46.22 ((~v130(constB121, bitIndex1)) | v127(constB121, bitIndex1)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18539, 824, 17901])).
% 73.35/46.22 tff(18541,plain,
% 73.35/46.22 (~v130(constB121, bitIndex1)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18540, 18536])).
% 73.35/46.22 tff(18542,plain,
% 73.35/46.22 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB121)) | v130(constB121, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB121)) | v130(constB121, bitIndex1))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18543,plain,
% 73.35/46.22 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB121)) | v130(constB121, bitIndex1))),
% 73.35/46.22 inference(quant_inst,[status(thm)],[])).
% 73.35/46.22 tff(18544,plain,
% 73.35/46.22 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB121)) | v130(constB121, bitIndex1)),
% 73.35/46.22 inference(modus_ponens,[status(thm)],[18543, 18542])).
% 73.35/46.22 tff(18545,plain,
% 73.35/46.22 (~v120(constB121)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18544, 810, 18541])).
% 73.35/46.22 tff(18546,assumption,(v90(constB121, bitIndex1)), introduced(assumption)).
% 73.35/46.22 tff(18547,plain,
% 73.35/46.22 (v100(constB122)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18429, 18546, 18422])).
% 73.35/46.22 tff(18548,assumption,(~v90(constB122, bitIndex0)), introduced(assumption)).
% 73.35/46.22 tff(18549,plain,
% 73.35/46.22 ((~v129(constB122, bitIndex0)) | (~v100(constB122))),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18045, 401, 18548])).
% 73.35/46.22 tff(18550,plain,
% 73.35/46.22 (~v129(constB122, bitIndex0)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18549, 18547])).
% 73.35/46.22 tff(18551,plain,
% 73.35/46.22 (~v127(constB121, bitIndex0)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18038, 18550])).
% 73.35/46.22 tff(18552,plain,
% 73.35/46.22 (~v130(constB121, bitIndex0)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18033, 18551])).
% 73.35/46.22 tff(18553,plain,
% 73.35/46.22 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB121)) | v130(constB121, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB121)) | v130(constB121, bitIndex0))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18554,plain,
% 73.35/46.22 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB121)) | v130(constB121, bitIndex0))),
% 73.35/46.22 inference(quant_inst,[status(thm)],[])).
% 73.35/46.22 tff(18555,plain,
% 73.35/46.22 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB121)) | v130(constB121, bitIndex0)),
% 73.35/46.22 inference(modus_ponens,[status(thm)],[18554, 18553])).
% 73.35/46.22 tff(18556,plain,
% 73.35/46.22 (~v121(constB121)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18555, 1162, 18552])).
% 73.35/46.22 tff(18557,plain,
% 73.35/46.22 ((~v129(constB122, bitIndex2)) | (~v100(constB122))),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18507, 1334, 18420])).
% 73.35/46.22 tff(18558,plain,
% 73.35/46.22 (~v129(constB122, bitIndex2)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18557, 18547])).
% 73.35/46.22 tff(18559,plain,
% 73.35/46.22 (~v127(constB121, bitIndex2)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18513, 18558])).
% 73.35/46.22 tff(18560,plain,
% 73.35/46.22 (~v130(constB121, bitIndex2)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18518, 18559])).
% 73.35/46.22 tff(18561,plain,
% 73.35/46.22 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB121)) | v130(constB121, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB121)) | v130(constB121, bitIndex2))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18562,plain,
% 73.35/46.22 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB121)) | v130(constB121, bitIndex2))),
% 73.35/46.22 inference(quant_inst,[status(thm)],[])).
% 73.35/46.22 tff(18563,plain,
% 73.35/46.22 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB121)) | v130(constB121, bitIndex2)),
% 73.35/46.22 inference(modus_ponens,[status(thm)],[18562, 18561])).
% 73.35/46.22 tff(18564,plain,
% 73.35/46.22 (~v122(constB121)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18563, 1290, 18560])).
% 73.35/46.22 tff(18565,plain,
% 73.35/46.22 (~v119(constB121)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[17953, 1908, 18546])).
% 73.35/46.22 tff(18566,plain,
% 73.35/46.22 (~v123(constB121)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[17814, 1930, 18546])).
% 73.35/46.22 tff(18567,plain,
% 73.35/46.22 (~v124(constB121)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[17963, 1941, 18546])).
% 73.35/46.22 tff(18568,plain,
% 73.35/46.22 (~v120(constB121)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[17775, 1919, 18546])).
% 73.35/46.22 tff(18569,plain,
% 73.35/46.22 (v122(constB121) | v121(constB121)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18027, 2192, 18552, 18568, 18567, 18566, 18565])).
% 73.35/46.22 tff(18570,plain,
% 73.35/46.22 ($false),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18569, 18564, 18556])).
% 73.35/46.22 tff(18571,plain,((~v90(constB121, bitIndex1)) | v90(constB122, bitIndex2) | v90(constB122, bitIndex0) | v90(constB122, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 73.35/46.22 tff(18572,plain,
% 73.35/46.22 (~v90(constB121, bitIndex1)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18571, 18419, 18489, 18410])).
% 73.35/46.22 tff(18573,plain,
% 73.35/46.22 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB121, bitIndex1) | (~v121(constB121)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB121, bitIndex1) | (~v121(constB121)))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18574,plain,
% 73.35/46.22 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB121, bitIndex1) | (~v121(constB121)))),
% 73.35/46.22 inference(quant_inst,[status(thm)],[])).
% 73.35/46.22 tff(18575,plain,
% 73.35/46.22 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB121, bitIndex1) | (~v121(constB121))),
% 73.35/46.22 inference(modus_ponens,[status(thm)],[18574, 18573])).
% 73.35/46.22 tff(18576,plain,
% 73.35/46.22 (~v121(constB121)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18575, 3190, 18572])).
% 73.35/46.22 tff(18577,plain,
% 73.35/46.22 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB121, bitIndex1) | (~v122(constB121)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB121, bitIndex1) | (~v122(constB121)))),
% 73.35/46.22 inference(rewrite,[status(thm)],[])).
% 73.35/46.22 tff(18578,plain,
% 73.35/46.22 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB121, bitIndex1) | (~v122(constB121)))),
% 73.35/46.22 inference(quant_inst,[status(thm)],[])).
% 73.35/46.22 tff(18579,plain,
% 73.35/46.22 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB121, bitIndex1) | (~v122(constB121))),
% 73.35/46.22 inference(modus_ponens,[status(thm)],[18578, 18577])).
% 73.35/46.22 tff(18580,plain,
% 73.35/46.22 (~v122(constB121)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18579, 3201, 18572])).
% 73.35/46.22 tff(18581,plain,
% 73.35/46.22 (v124(constB121) | v123(constB121) | v120(constB121) | v119(constB121) | v130(constB121, bitIndex0)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18027, 2192, 18580, 18576])).
% 73.35/46.22 tff(18582,plain,
% 73.35/46.22 ($false),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18581, 18545, 18523, 18493, 18501, 18497])).
% 73.35/46.22 tff(18583,plain,(v90(constB123, bitIndex2) | v90(constB123, bitIndex0) | v121(constB123)), inference(lemma,lemma(discharge,[]))).
% 73.35/46.22 tff(18584,plain,
% 73.35/46.22 (v121(constB123)),
% 73.35/46.22 inference(unit_resolution,[status(thm)],[18583, 18394, 18385])).
% 73.35/46.22 tff(18585,assumption,(~v90(constB124, bitIndex1)), introduced(assumption)).
% 73.35/46.22 tff(18586,plain,
% 73.35/46.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB123, bitIndex1)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB123, bitIndex1)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex1))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18587,plain,
% 73.35/46.23 (((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex1)) | v100(constB124) | v90(constB124, bitIndex1)) <=> ((~v90(constB123, bitIndex1)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex1))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18588,plain,
% 73.35/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex1)) | v100(constB124) | v90(constB124, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB123, bitIndex1)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex1)))),
% 73.35/46.23 inference(monotonicity,[status(thm)],[18587])).
% 73.35/46.23 tff(18589,plain,
% 73.35/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex1)) | v100(constB124) | v90(constB124, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB123, bitIndex1)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex1))),
% 73.35/46.23 inference(transitivity,[status(thm)],[18588, 18586])).
% 73.35/46.23 tff(18590,plain,
% 73.35/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v90(constB123, bitIndex1)) | v100(constB124) | v90(constB124, bitIndex1))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18591,plain,
% 73.35/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB123, bitIndex1)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, bitIndex1)),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18590, 18589])).
% 73.35/46.23 tff(18592,plain,
% 73.35/46.23 ((~v90(constB123, bitIndex1)) | v100(constB124) | v90(constB124, bitIndex1)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18591, 872, 18148])).
% 73.35/46.23 tff(18593,plain,
% 73.35/46.23 (~v90(constB123, bitIndex1)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18592, 18386, 18585])).
% 73.35/46.23 tff(18594,plain,
% 73.35/46.23 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB123, bitIndex1) | (~v121(constB123)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB123, bitIndex1) | (~v121(constB123)))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18595,plain,
% 73.35/46.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB123, bitIndex1) | (~v121(constB123)))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18596,plain,
% 73.35/46.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB123, bitIndex1) | (~v121(constB123))),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18595, 18594])).
% 73.35/46.23 tff(18597,plain,
% 73.35/46.23 ($false),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18596, 3190, 18593, 18584])).
% 73.35/46.23 tff(18598,plain,(v100(constB124) | v90(constB123, bitIndex2) | v90(constB124, bitIndex0) | v90(constB124, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 73.35/46.23 tff(18599,plain,
% 73.35/46.23 (v100(constB124)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18598, 18384, 18294, 18285])).
% 73.35/46.23 tff(18600,plain,
% 73.35/46.23 ((~v129(constB124, bitIndex0)) | (~v100(constB124))),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18320, 401, 18294])).
% 73.35/46.23 tff(18601,plain,
% 73.35/46.23 (~v129(constB124, bitIndex0)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18600, 18599])).
% 73.35/46.23 tff(18602,plain,
% 73.35/46.23 (~v127(constB123, bitIndex0)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18326, 18601])).
% 73.35/46.23 tff(18603,plain,
% 73.35/46.23 (~v130(constB123, bitIndex0)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18331, 18602])).
% 73.35/46.23 tff(18604,plain,
% 73.35/46.23 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB123)) | v130(constB123, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB123)) | v130(constB123, bitIndex0))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18605,plain,
% 73.35/46.23 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB123)) | v130(constB123, bitIndex0))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18606,plain,
% 73.35/46.23 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB123)) | v130(constB123, bitIndex0)),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18605, 18604])).
% 73.35/46.23 tff(18607,plain,
% 73.35/46.23 (~v119(constB123)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18606, 165, 18603])).
% 73.35/46.23 tff(18608,plain,
% 73.35/46.23 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18609,plain,
% 73.35/46.23 ((v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1))) <=> (v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18610,plain,
% 73.35/46.23 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124))))),
% 73.35/46.23 inference(monotonicity,[status(thm)],[18609])).
% 73.35/46.23 tff(18611,plain,
% 73.35/46.23 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))),
% 73.35/46.23 inference(transitivity,[status(thm)],[18610, 18608])).
% 73.35/46.23 tff(18612,plain,
% 73.35/46.23 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1)))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18613,plain,
% 73.35/46.23 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124))),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18612, 18611])).
% 73.35/46.23 tff(18614,plain,
% 73.35/46.23 ((~v129(constB124, bitIndex1)) | (~v100(constB124))),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18613, 854, 18285])).
% 73.35/46.23 tff(18615,plain,
% 73.35/46.23 (~v129(constB124, bitIndex1)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18614, 18599])).
% 73.35/46.23 tff(18616,plain,
% 73.35/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18617,plain,
% 73.35/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18618,plain,
% 73.35/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1)),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18617, 18616])).
% 73.35/46.23 tff(18619,plain,
% 73.35/46.23 ((~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18618, 839, 18148])).
% 73.35/46.23 tff(18620,plain,
% 73.35/46.23 (~v127(constB123, bitIndex1)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18619, 18615])).
% 73.35/46.23 tff(18621,plain,
% 73.35/46.23 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18622,plain,
% 73.35/46.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18623,plain,
% 73.35/46.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1)),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18622, 18621])).
% 73.35/46.23 tff(18624,plain,
% 73.35/46.23 ((~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18623, 824, 18133])).
% 73.35/46.23 tff(18625,plain,
% 73.35/46.23 (~v130(constB123, bitIndex1)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18624, 18620])).
% 73.35/46.23 tff(18626,plain,
% 73.35/46.23 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB123)) | v130(constB123, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB123)) | v130(constB123, bitIndex1))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18627,plain,
% 73.35/46.23 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB123)) | v130(constB123, bitIndex1))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18628,plain,
% 73.35/46.23 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB123)) | v130(constB123, bitIndex1)),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18627, 18626])).
% 73.35/46.23 tff(18629,plain,
% 73.35/46.23 (~v120(constB123)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18628, 810, 18625])).
% 73.35/46.23 tff(18630,plain,
% 73.35/46.23 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB123)) | v130(constB123, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB123)) | v130(constB123, bitIndex0))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18631,plain,
% 73.35/46.23 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB123)) | v130(constB123, bitIndex0))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18632,plain,
% 73.35/46.23 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB123)) | v130(constB123, bitIndex0)),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18631, 18630])).
% 73.35/46.23 tff(18633,plain,
% 73.35/46.23 (~v121(constB123)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18632, 1162, 18603])).
% 73.35/46.23 tff(18634,plain,
% 73.35/46.23 ((~v129(constB124, bitIndex2)) | (~v100(constB124))),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18342, 1334, 18303])).
% 73.35/46.23 tff(18635,plain,
% 73.35/46.23 (~v129(constB124, bitIndex2)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18634, 18599])).
% 73.35/46.23 tff(18636,plain,
% 73.35/46.23 (~v127(constB123, bitIndex2)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18348, 18635])).
% 73.35/46.23 tff(18637,plain,
% 73.35/46.23 (~v130(constB123, bitIndex2)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18353, 18636])).
% 73.35/46.23 tff(18638,plain,
% 73.35/46.23 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB123)) | v130(constB123, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB123)) | v130(constB123, bitIndex2))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18639,plain,
% 73.35/46.23 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB123)) | v130(constB123, bitIndex2))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18640,plain,
% 73.35/46.23 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB123)) | v130(constB123, bitIndex2)),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18639, 18638])).
% 73.35/46.23 tff(18641,plain,
% 73.35/46.23 (~v122(constB123)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18640, 1290, 18637])).
% 73.35/46.23 tff(18642,plain,
% 73.35/46.23 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB123, bitIndex2) | (~v124(constB123)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB123, bitIndex2) | (~v124(constB123)))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18643,plain,
% 73.35/46.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB123, bitIndex2) | (~v124(constB123)))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18644,plain,
% 73.35/46.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB123, bitIndex2) | (~v124(constB123))),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18643, 18642])).
% 73.35/46.23 tff(18645,plain,
% 73.35/46.23 (~v124(constB123)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18644, 3083, 18384])).
% 73.35/46.23 tff(18646,plain,
% 73.35/46.23 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB123, bitIndex2) | (~v123(constB123)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB123, bitIndex2) | (~v123(constB123)))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18647,plain,
% 73.35/46.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB123, bitIndex2) | (~v123(constB123)))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18648,plain,
% 73.35/46.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB123, bitIndex2) | (~v123(constB123))),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18647, 18646])).
% 73.35/46.23 tff(18649,plain,
% 73.35/46.23 (~v123(constB123)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18648, 3072, 18384])).
% 73.35/46.23 tff(18650,plain,
% 73.35/46.23 (v119(constB123) | v121(constB123) | v120(constB123) | v122(constB123) | v130(constB123, bitIndex0)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18380, 2192, 18649, 18645])).
% 73.35/46.23 tff(18651,plain,
% 73.35/46.23 ($false),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18650, 18641, 18633, 18603, 18629, 18607])).
% 73.35/46.23 tff(18652,plain,(v90(constB125, bitIndex2) | v90(constB125, bitIndex0) | v121(constB125)), inference(lemma,lemma(discharge,[]))).
% 73.35/46.23 tff(18653,plain,
% 73.35/46.23 (v121(constB125)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18652, 18268, 18234])).
% 73.35/46.23 tff(18654,plain,
% 73.35/46.23 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB125) | (~v121(constB125)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB125) | (~v121(constB125)))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18655,plain,
% 73.35/46.23 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB125) | (~v121(constB125)))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18656,plain,
% 73.35/46.23 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB125) | (~v121(constB125))),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18655, 18654])).
% 73.35/46.23 tff(18657,plain,
% 73.35/46.23 (v117(constB125)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18656, 976, 18653])).
% 73.35/46.23 tff(18658,plain,
% 73.35/46.23 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB125) | (~v117(constB125)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB125) | (~v117(constB125)))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18659,plain,
% 73.35/46.23 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB125) | (~v117(constB125)))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18660,plain,
% 73.35/46.23 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB125) | (~v117(constB125))),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18659, 18658])).
% 73.35/46.23 tff(18661,plain,
% 73.35/46.23 (v116(constB125)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18660, 254, 18657])).
% 73.35/46.23 tff(18662,plain,
% 73.35/46.23 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB125) | (~v116(constB125)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB125) | (~v116(constB125)))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18663,plain,
% 73.35/46.23 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB125) | (~v116(constB125)))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18664,plain,
% 73.35/46.23 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB125) | (~v116(constB125))),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18663, 18662])).
% 73.35/46.23 tff(18665,plain,
% 73.35/46.23 (v115(constB125)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18664, 265, 18661])).
% 73.35/46.23 tff(18666,plain,
% 73.35/46.23 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB125) | (~v115(constB125)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB125) | (~v115(constB125)))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18667,plain,
% 73.35/46.23 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB125) | (~v115(constB125)))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18668,plain,
% 73.35/46.23 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB125) | (~v115(constB125))),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18667, 18666])).
% 73.35/46.23 tff(18669,plain,
% 73.35/46.23 (v114(constB125)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18668, 276, 18665])).
% 73.35/46.23 tff(18670,plain,
% 73.35/46.23 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB125) | (~v114(constB125)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB125) | (~v114(constB125)))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18671,plain,
% 73.35/46.23 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB125) | (~v114(constB125)))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18672,plain,
% 73.35/46.23 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB125) | (~v114(constB125))),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18671, 18670])).
% 73.35/46.23 tff(18673,plain,
% 73.35/46.23 (v113(constB125)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18672, 287, 18669])).
% 73.35/46.23 tff(18674,assumption,(v26(constB125)), introduced(assumption)).
% 73.35/46.23 tff(18675,plain,
% 73.35/46.23 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB125))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18676,plain,
% 73.35/46.23 ($false),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18675, 37, 18674])).
% 73.35/46.23 tff(18677,plain,(~v26(constB125)), inference(lemma,lemma(discharge,[]))).
% 73.35/46.23 tff(18678,plain,
% 73.35/46.23 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | (~v113(constB125)) | v112(constB125))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18679,plain,
% 73.35/46.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18680,plain,
% 73.35/46.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | (~v113(constB125)) | v112(constB125)),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18679, 18678])).
% 73.35/46.23 tff(18681,plain,
% 73.35/46.23 ((~v113(constB125)) | v112(constB125)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18680, 301, 18677])).
% 73.35/46.23 tff(18682,plain,
% 73.35/46.23 (v112(constB125)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18681, 18673])).
% 73.35/46.23 tff(18683,plain,
% 73.35/46.23 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB125) | (~v112(constB125)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB125) | (~v112(constB125)))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18684,plain,
% 73.35/46.23 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB125) | (~v112(constB125)))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18685,plain,
% 73.35/46.23 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB125) | (~v112(constB125))),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18684, 18683])).
% 73.35/46.23 tff(18686,plain,
% 73.35/46.23 (v108(constB125)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18685, 210, 18682])).
% 73.35/46.23 tff(18687,plain,
% 73.35/46.23 (nextState(constB125, constB126) <=> nextState(constB125, constB126)),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18688,axiom,(nextState(constB125, constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_125_1')).
% 73.35/46.23 tff(18689,plain,
% 73.35/46.23 (nextState(constB125, constB126)),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18688, 18687])).
% 73.35/46.23 tff(18690,plain,
% 73.35/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18691,plain,
% 73.35/46.23 (((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126)) <=> ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18692,plain,
% 73.35/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125))))),
% 73.35/46.23 inference(monotonicity,[status(thm)],[18691])).
% 73.35/46.23 tff(18693,plain,
% 73.35/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 73.35/46.23 inference(transitivity,[status(thm)],[18692, 18690])).
% 73.35/46.23 tff(18694,plain,
% 73.35/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18695,plain,
% 73.35/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125))),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18694, 18693])).
% 73.35/46.23 tff(18696,plain,
% 73.35/46.23 (v110(constB126) | (~v108(constB125))),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18695, 317, 18689])).
% 73.35/46.23 tff(18697,plain,
% 73.35/46.23 (v110(constB126)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18696, 18686])).
% 73.35/46.23 tff(18698,plain,
% 73.35/46.23 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18699,plain,
% 73.35/46.23 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18700,plain,
% 73.35/46.23 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126))),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18699, 18698])).
% 73.35/46.23 tff(18701,plain,
% 73.35/46.23 (~v104(constB126)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18700, 335, 18689, 18210])).
% 73.35/46.23 tff(18702,plain,
% 73.35/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18703,plain,
% 73.35/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18704,plain,
% 73.35/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v102(constB126) | v104(constB126)),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18703, 18702])).
% 73.35/46.23 tff(18705,plain,
% 73.35/46.23 (v102(constB126) | v104(constB126)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18704, 349, 18689])).
% 73.35/46.23 tff(18706,plain,
% 73.35/46.23 (v102(constB126)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18705, 18701])).
% 73.35/46.23 tff(18707,plain,
% 73.35/46.23 (v1(constB126) <=> v1(constB126)),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18708,axiom,(v1(constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_126_1')).
% 73.35/46.23 tff(18709,plain,
% 73.35/46.23 (v1(constB126)),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18708, 18707])).
% 73.35/46.23 tff(18710,plain,
% 73.35/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18711,plain,
% 73.35/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18712,plain,
% 73.35/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126))),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18711, 18710])).
% 73.35/46.23 tff(18713,plain,
% 73.35/46.23 (v101(constB126) | (~v102(constB126))),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18712, 367, 18689, 18709])).
% 73.35/46.23 tff(18714,plain,
% 73.35/46.23 (v101(constB126)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18713, 18706])).
% 73.35/46.23 tff(18715,plain,
% 73.35/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18716,plain,
% 73.35/46.23 (((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126)) <=> ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18717,plain,
% 73.35/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126))))),
% 73.35/46.23 inference(monotonicity,[status(thm)],[18716])).
% 73.35/46.23 tff(18718,plain,
% 73.35/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 73.35/46.23 inference(transitivity,[status(thm)],[18717, 18715])).
% 73.35/46.23 tff(18719,plain,
% 73.35/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18720,plain,
% 73.35/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126))),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18719, 18718])).
% 73.35/46.23 tff(18721,plain,
% 73.35/46.23 (v100(constB126) | (~v101(constB126)) | (~v110(constB126))),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18720, 382, 18689])).
% 73.35/46.23 tff(18722,plain,
% 73.35/46.23 (v100(constB126) | (~v110(constB126))),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18721, 18714])).
% 73.35/46.23 tff(18723,plain,
% 73.35/46.23 (v100(constB126)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18722, 18697])).
% 73.35/46.23 tff(18724,plain,
% 73.35/46.23 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB125)) | (~v130(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB125)) | (~v130(constB125, bitIndex2)))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18725,plain,
% 73.35/46.23 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB125)) | (~v130(constB125, bitIndex2)))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18726,plain,
% 73.35/46.23 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB125)) | (~v130(constB125, bitIndex2))),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18725, 18724])).
% 73.35/46.23 tff(18727,plain,
% 73.35/46.23 (~v130(constB125, bitIndex2)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18726, 1059, 18653])).
% 73.35/46.23 tff(18728,plain,
% 73.35/46.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18729,plain,
% 73.35/46.23 ((v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2))) <=> ((~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18730,plain,
% 73.35/46.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2)))),
% 73.35/46.23 inference(monotonicity,[status(thm)],[18729])).
% 73.35/46.23 tff(18731,plain,
% 73.35/46.23 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))),
% 73.35/46.23 inference(transitivity,[status(thm)],[18730, 18728])).
% 73.35/46.23 tff(18732,plain,
% 73.35/46.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2)))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18733,plain,
% 73.35/46.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2)),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18732, 18731])).
% 73.35/46.23 tff(18734,plain,
% 73.35/46.23 ((~v127(constB125, bitIndex2)) | v130(constB125, bitIndex2)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18733, 470, 18677])).
% 73.35/46.23 tff(18735,plain,
% 73.35/46.23 (~v127(constB125, bitIndex2)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18734, 18727])).
% 73.35/46.23 tff(18736,plain,
% 73.35/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2)))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18737,plain,
% 73.35/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2)))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18738,plain,
% 73.35/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2))),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18737, 18736])).
% 73.35/46.23 tff(18739,plain,
% 73.35/46.23 (v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2))),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18738, 488, 18689])).
% 73.35/46.23 tff(18740,plain,
% 73.35/46.23 (~v129(constB126, bitIndex2)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18739, 18735])).
% 73.35/46.23 tff(18741,plain,
% 73.35/46.23 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18742,plain,
% 73.35/46.23 (((~v90(constB126, bitIndex2)) | (~v100(constB126)) | v129(constB126, bitIndex2)) <=> ((~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18743,plain,
% 73.35/46.23 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB126, bitIndex2)) | (~v100(constB126)) | v129(constB126, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126))))),
% 73.35/46.23 inference(monotonicity,[status(thm)],[18742])).
% 73.35/46.23 tff(18744,plain,
% 73.35/46.23 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB126, bitIndex2)) | (~v100(constB126)) | v129(constB126, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))),
% 73.35/46.23 inference(transitivity,[status(thm)],[18743, 18741])).
% 73.35/46.23 tff(18745,plain,
% 73.35/46.23 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB126, bitIndex2)) | (~v100(constB126)) | v129(constB126, bitIndex2))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18746,plain,
% 73.35/46.23 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126))),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18745, 18744])).
% 73.35/46.23 tff(18747,plain,
% 73.35/46.23 ((~v90(constB126, bitIndex2)) | (~v100(constB126))),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18746, 503, 18740])).
% 73.35/46.23 tff(18748,plain,
% 73.35/46.23 (~v90(constB126, bitIndex2)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18747, 18723])).
% 73.35/46.23 tff(18749,plain,
% 73.35/46.23 ((~v1(constB127)) <=> (~v1(constB127))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18750,axiom,(~v1(constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_127_1_1')).
% 73.35/46.23 tff(18751,plain,
% 73.35/46.23 (~v1(constB127)),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18750, 18749])).
% 73.35/46.23 tff(18752,plain,
% 73.35/46.23 (nextState(constB126, constB127) <=> nextState(constB126, constB127)),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18753,axiom,(nextState(constB126, constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_126_1')).
% 73.35/46.23 tff(18754,plain,
% 73.35/46.23 (nextState(constB126, constB127)),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18753, 18752])).
% 73.35/46.23 tff(18755,plain,
% 73.35/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18756,plain,
% 73.35/46.23 (((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127)) <=> (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18757,plain,
% 73.35/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127))))),
% 73.35/46.23 inference(monotonicity,[status(thm)],[18756])).
% 73.35/46.23 tff(18758,plain,
% 73.35/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 73.35/46.23 inference(transitivity,[status(thm)],[18757, 18755])).
% 73.35/46.23 tff(18759,plain,
% 73.35/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18760,plain,
% 73.35/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127))),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18759, 18758])).
% 73.35/46.23 tff(18761,plain,
% 73.35/46.23 (~v101(constB127)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18760, 56, 18754, 18751])).
% 73.35/46.23 tff(18762,plain,
% 73.35/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))),
% 73.35/46.23 inference(rewrite,[status(thm)],[])).
% 73.35/46.23 tff(18763,plain,
% 73.35/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))),
% 73.35/46.23 inference(quant_inst,[status(thm)],[])).
% 73.35/46.23 tff(18764,plain,
% 73.35/46.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127))),
% 73.35/46.23 inference(modus_ponens,[status(thm)],[18763, 18762])).
% 73.35/46.23 tff(18765,plain,
% 73.35/46.23 (v101(constB127) | (~v100(constB127))),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18764, 73, 18754])).
% 73.35/46.23 tff(18766,plain,
% 73.35/46.23 (~v100(constB127)),
% 73.35/46.23 inference(unit_resolution,[status(thm)],[18765, 18761])).
% 73.35/46.23 tff(18767,plain,
% 73.35/46.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18768,plain,
% 73.35/46.24 (((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2))) <=> (v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18769,plain,
% 73.35/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2))))),
% 73.35/46.24 inference(monotonicity,[status(thm)],[18768])).
% 73.35/46.24 tff(18770,plain,
% 73.35/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 73.35/46.24 inference(transitivity,[status(thm)],[18769, 18767])).
% 73.35/46.24 tff(18771,plain,
% 73.35/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 73.35/46.24 inference(quant_inst,[status(thm)],[])).
% 73.35/46.24 tff(18772,plain,
% 73.35/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2))),
% 73.35/46.24 inference(modus_ponens,[status(thm)],[18771, 18770])).
% 73.35/46.24 tff(18773,plain,
% 73.35/46.24 (v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2))),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18772, 88, 18754])).
% 73.35/46.24 tff(18774,plain,
% 73.35/46.24 (v90(constB126, bitIndex2) | (~v90(constB127, bitIndex2))),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18773, 18766])).
% 73.35/46.24 tff(18775,plain,
% 73.35/46.24 (~v90(constB127, bitIndex2)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18774, 18748])).
% 73.35/46.24 tff(18776,plain,
% 73.35/46.24 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB125)) | v130(constB125, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB125)) | v130(constB125, bitIndex1))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18777,plain,
% 73.35/46.24 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB125)) | v130(constB125, bitIndex1))),
% 73.35/46.24 inference(quant_inst,[status(thm)],[])).
% 73.35/46.24 tff(18778,plain,
% 73.35/46.24 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB125)) | v130(constB125, bitIndex1)),
% 73.35/46.24 inference(modus_ponens,[status(thm)],[18777, 18776])).
% 73.35/46.24 tff(18779,plain,
% 73.35/46.24 (v130(constB125, bitIndex1)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18778, 1121, 18653])).
% 73.35/46.24 tff(18780,plain,
% 73.35/46.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB125) | (~v130(constB125, bitIndex1)) | v127(constB125, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB125) | (~v130(constB125, bitIndex1)) | v127(constB125, bitIndex1))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18781,plain,
% 73.35/46.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB125) | (~v130(constB125, bitIndex1)) | v127(constB125, bitIndex1))),
% 73.35/46.24 inference(quant_inst,[status(thm)],[])).
% 73.35/46.24 tff(18782,plain,
% 73.35/46.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB125) | (~v130(constB125, bitIndex1)) | v127(constB125, bitIndex1)),
% 73.35/46.24 inference(modus_ponens,[status(thm)],[18781, 18780])).
% 73.35/46.24 tff(18783,plain,
% 73.35/46.24 ((~v130(constB125, bitIndex1)) | v127(constB125, bitIndex1)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18782, 824, 18677])).
% 73.35/46.24 tff(18784,plain,
% 73.35/46.24 (v127(constB125, bitIndex1)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18783, 18779])).
% 73.35/46.24 tff(18785,plain,
% 73.35/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB125, constB126)) | (~v127(constB125, bitIndex1)) | v129(constB126, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB125, constB126)) | (~v127(constB125, bitIndex1)) | v129(constB126, bitIndex1))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18786,plain,
% 73.35/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB125, constB126)) | (~v127(constB125, bitIndex1)) | v129(constB126, bitIndex1))),
% 73.35/46.24 inference(quant_inst,[status(thm)],[])).
% 73.35/46.24 tff(18787,plain,
% 73.35/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB125, constB126)) | (~v127(constB125, bitIndex1)) | v129(constB126, bitIndex1)),
% 73.35/46.24 inference(modus_ponens,[status(thm)],[18786, 18785])).
% 73.35/46.24 tff(18788,plain,
% 73.35/46.24 ((~v127(constB125, bitIndex1)) | v129(constB126, bitIndex1)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18787, 839, 18689])).
% 73.35/46.24 tff(18789,plain,
% 73.35/46.24 (v129(constB126, bitIndex1)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18788, 18784])).
% 73.35/46.24 tff(18790,plain,
% 73.35/46.24 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1)) | (~v100(constB126)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1)) | (~v100(constB126)))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18791,plain,
% 73.35/46.24 ((v90(constB126, bitIndex1) | (~v100(constB126)) | (~v129(constB126, bitIndex1))) <=> (v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1)) | (~v100(constB126)))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18792,plain,
% 73.35/46.24 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~v100(constB126)) | (~v129(constB126, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1)) | (~v100(constB126))))),
% 73.35/46.24 inference(monotonicity,[status(thm)],[18791])).
% 73.35/46.24 tff(18793,plain,
% 73.35/46.24 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~v100(constB126)) | (~v129(constB126, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1)) | (~v100(constB126)))),
% 73.35/46.24 inference(transitivity,[status(thm)],[18792, 18790])).
% 73.35/46.24 tff(18794,plain,
% 73.35/46.24 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB126, bitIndex1) | (~v100(constB126)) | (~v129(constB126, bitIndex1)))),
% 73.35/46.24 inference(quant_inst,[status(thm)],[])).
% 73.35/46.24 tff(18795,plain,
% 73.35/46.24 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1)) | (~v100(constB126))),
% 73.35/46.24 inference(modus_ponens,[status(thm)],[18794, 18793])).
% 73.35/46.24 tff(18796,plain,
% 73.35/46.24 (v90(constB126, bitIndex1) | (~v100(constB126))),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18795, 854, 18789])).
% 73.35/46.24 tff(18797,plain,
% 73.35/46.24 (v90(constB126, bitIndex1)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18796, 18723])).
% 73.35/46.24 tff(18798,plain,
% 73.35/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex1))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18799,plain,
% 73.35/46.24 (((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex1)) | v100(constB127) | v90(constB127, bitIndex1)) <=> ((~v90(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex1))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18800,plain,
% 73.35/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex1)) | v100(constB127) | v90(constB127, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex1)))),
% 73.35/46.24 inference(monotonicity,[status(thm)],[18799])).
% 73.35/46.24 tff(18801,plain,
% 73.35/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex1)) | v100(constB127) | v90(constB127, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex1))),
% 73.35/46.24 inference(transitivity,[status(thm)],[18800, 18798])).
% 73.35/46.24 tff(18802,plain,
% 73.35/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex1)) | v100(constB127) | v90(constB127, bitIndex1))),
% 73.35/46.24 inference(quant_inst,[status(thm)],[])).
% 73.35/46.24 tff(18803,plain,
% 73.35/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex1)),
% 73.35/46.24 inference(modus_ponens,[status(thm)],[18802, 18801])).
% 73.35/46.24 tff(18804,plain,
% 73.35/46.24 ((~v90(constB126, bitIndex1)) | v100(constB127) | v90(constB127, bitIndex1)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18803, 872, 18754])).
% 73.35/46.24 tff(18805,plain,
% 73.35/46.24 ((~v90(constB126, bitIndex1)) | v90(constB127, bitIndex1)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18804, 18766])).
% 73.35/46.24 tff(18806,plain,
% 73.35/46.24 (v90(constB127, bitIndex1)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18805, 18797])).
% 73.35/46.24 tff(18807,plain,
% 73.35/46.24 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB125)) | v130(constB125, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB125)) | v130(constB125, bitIndex0))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18808,plain,
% 73.35/46.24 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB125)) | v130(constB125, bitIndex0))),
% 73.35/46.24 inference(quant_inst,[status(thm)],[])).
% 73.35/46.24 tff(18809,plain,
% 73.35/46.24 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB125)) | v130(constB125, bitIndex0)),
% 73.35/46.24 inference(modus_ponens,[status(thm)],[18808, 18807])).
% 73.35/46.24 tff(18810,plain,
% 73.35/46.24 (v130(constB125, bitIndex0)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18809, 1162, 18653])).
% 73.35/46.24 tff(18811,plain,
% 73.35/46.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18812,plain,
% 73.35/46.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0))),
% 73.35/46.24 inference(quant_inst,[status(thm)],[])).
% 73.35/46.24 tff(18813,plain,
% 73.35/46.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0)),
% 73.35/46.24 inference(modus_ponens,[status(thm)],[18812, 18811])).
% 73.35/46.24 tff(18814,plain,
% 73.35/46.24 ((~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18813, 179, 18677])).
% 73.35/46.24 tff(18815,plain,
% 73.35/46.24 (v127(constB125, bitIndex0)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18814, 18810])).
% 73.35/46.24 tff(18816,plain,
% 73.35/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18817,plain,
% 73.35/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0))),
% 73.35/46.24 inference(quant_inst,[status(thm)],[])).
% 73.35/46.24 tff(18818,plain,
% 73.35/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0)),
% 73.35/46.24 inference(modus_ponens,[status(thm)],[18817, 18816])).
% 73.35/46.24 tff(18819,plain,
% 73.35/46.24 ((~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18818, 197, 18689])).
% 73.35/46.24 tff(18820,plain,
% 73.35/46.24 (v129(constB126, bitIndex0)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18819, 18815])).
% 73.35/46.24 tff(18821,plain,
% 73.35/46.24 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18822,plain,
% 73.35/46.24 ((v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0))) <=> (v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18823,plain,
% 73.35/46.24 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126))))),
% 73.35/46.24 inference(monotonicity,[status(thm)],[18822])).
% 73.35/46.24 tff(18824,plain,
% 73.35/46.24 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))),
% 73.35/46.24 inference(transitivity,[status(thm)],[18823, 18821])).
% 73.35/46.24 tff(18825,plain,
% 73.35/46.24 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0)))),
% 73.35/46.24 inference(quant_inst,[status(thm)],[])).
% 73.35/46.24 tff(18826,plain,
% 73.35/46.24 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126))),
% 73.35/46.24 inference(modus_ponens,[status(thm)],[18825, 18824])).
% 73.35/46.24 tff(18827,plain,
% 73.35/46.24 (v90(constB126, bitIndex0) | (~v100(constB126))),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18826, 401, 18820])).
% 73.35/46.24 tff(18828,plain,
% 73.35/46.24 (v90(constB126, bitIndex0)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18827, 18723])).
% 73.35/46.24 tff(18829,plain,
% 73.35/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18830,plain,
% 73.35/46.24 (((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0)) <=> ((~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18831,plain,
% 73.35/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0)))),
% 73.35/46.24 inference(monotonicity,[status(thm)],[18830])).
% 73.35/46.24 tff(18832,plain,
% 73.35/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))),
% 73.35/46.24 inference(transitivity,[status(thm)],[18831, 18829])).
% 73.35/46.24 tff(18833,plain,
% 73.35/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0))),
% 73.35/46.24 inference(quant_inst,[status(thm)],[])).
% 73.35/46.24 tff(18834,plain,
% 73.35/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0)),
% 73.35/46.24 inference(modus_ponens,[status(thm)],[18833, 18832])).
% 73.35/46.24 tff(18835,plain,
% 73.35/46.24 ((~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18834, 437, 18754])).
% 73.35/46.24 tff(18836,plain,
% 73.35/46.24 ((~v90(constB126, bitIndex0)) | v90(constB127, bitIndex0)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18835, 18766])).
% 73.35/46.24 tff(18837,plain,
% 73.35/46.24 (v90(constB127, bitIndex0)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18836, 18828])).
% 73.35/46.24 tff(18838,plain,
% 73.35/46.24 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v122(constB127))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v122(constB127))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18839,plain,
% 73.35/46.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v122(constB127))),
% 73.35/46.24 inference(quant_inst,[status(thm)],[])).
% 73.35/46.24 tff(18840,plain,
% 73.35/46.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)) | v90(constB127, bitIndex2) | v122(constB127)),
% 73.35/46.24 inference(modus_ponens,[status(thm)],[18839, 18838])).
% 73.35/46.24 tff(18841,plain,
% 73.35/46.24 (v122(constB127)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18840, 1203, 18837, 18806, 18775])).
% 73.35/46.24 tff(18842,plain,
% 73.35/46.24 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB127) | (~v122(constB127)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB127) | (~v122(constB127)))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18843,plain,
% 73.35/46.24 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB127) | (~v122(constB127)))),
% 73.35/46.24 inference(quant_inst,[status(thm)],[])).
% 73.35/46.24 tff(18844,plain,
% 73.35/46.24 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB127) | (~v122(constB127))),
% 73.35/46.24 inference(modus_ponens,[status(thm)],[18843, 18842])).
% 73.35/46.24 tff(18845,plain,
% 73.35/46.24 (v116(constB127)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18844, 1214, 18841])).
% 73.35/46.24 tff(18846,plain,
% 73.35/46.24 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB127) | (~v116(constB127)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB127) | (~v116(constB127)))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18847,plain,
% 73.35/46.24 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB127) | (~v116(constB127)))),
% 73.35/46.24 inference(quant_inst,[status(thm)],[])).
% 73.35/46.24 tff(18848,plain,
% 73.35/46.24 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB127) | (~v116(constB127))),
% 73.35/46.24 inference(modus_ponens,[status(thm)],[18847, 18846])).
% 73.35/46.24 tff(18849,plain,
% 73.35/46.24 (v115(constB127)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18848, 265, 18845])).
% 73.35/46.24 tff(18850,plain,
% 73.35/46.24 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB127) | (~v115(constB127)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB127) | (~v115(constB127)))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18851,plain,
% 73.35/46.24 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB127) | (~v115(constB127)))),
% 73.35/46.24 inference(quant_inst,[status(thm)],[])).
% 73.35/46.24 tff(18852,plain,
% 73.35/46.24 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB127) | (~v115(constB127))),
% 73.35/46.24 inference(modus_ponens,[status(thm)],[18851, 18850])).
% 73.35/46.24 tff(18853,plain,
% 73.35/46.24 (v114(constB127)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18852, 276, 18849])).
% 73.35/46.24 tff(18854,plain,
% 73.35/46.24 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB127) | (~v114(constB127)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB127) | (~v114(constB127)))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18855,plain,
% 73.35/46.24 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB127) | (~v114(constB127)))),
% 73.35/46.24 inference(quant_inst,[status(thm)],[])).
% 73.35/46.24 tff(18856,plain,
% 73.35/46.24 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB127) | (~v114(constB127))),
% 73.35/46.24 inference(modus_ponens,[status(thm)],[18855, 18854])).
% 73.35/46.24 tff(18857,plain,
% 73.35/46.24 (v113(constB127)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18856, 287, 18853])).
% 73.35/46.24 tff(18858,assumption,(v26(constB127)), introduced(assumption)).
% 73.35/46.24 tff(18859,plain,
% 73.35/46.24 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB127))),
% 73.35/46.24 inference(quant_inst,[status(thm)],[])).
% 73.35/46.24 tff(18860,plain,
% 73.35/46.24 ($false),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18859, 37, 18858])).
% 73.35/46.24 tff(18861,plain,(~v26(constB127)), inference(lemma,lemma(discharge,[]))).
% 73.35/46.24 tff(18862,plain,
% 73.35/46.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | v112(constB127) | (~v113(constB127)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | v112(constB127) | (~v113(constB127)))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18863,plain,
% 73.35/46.24 ((v26(constB127) | (~v113(constB127)) | v112(constB127)) <=> (v26(constB127) | v112(constB127) | (~v113(constB127)))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18864,plain,
% 73.35/46.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | v112(constB127) | (~v113(constB127))))),
% 73.35/46.24 inference(monotonicity,[status(thm)],[18863])).
% 73.35/46.24 tff(18865,plain,
% 73.35/46.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | v112(constB127) | (~v113(constB127)))),
% 73.35/46.24 inference(transitivity,[status(thm)],[18864, 18862])).
% 73.35/46.24 tff(18866,plain,
% 73.35/46.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))),
% 73.35/46.24 inference(quant_inst,[status(thm)],[])).
% 73.35/46.24 tff(18867,plain,
% 73.35/46.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | v112(constB127) | (~v113(constB127))),
% 73.35/46.24 inference(modus_ponens,[status(thm)],[18866, 18865])).
% 73.35/46.24 tff(18868,plain,
% 73.35/46.24 (v112(constB127) | (~v113(constB127))),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18867, 301, 18861])).
% 73.35/46.24 tff(18869,plain,
% 73.35/46.24 (v112(constB127)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18868, 18857])).
% 73.35/46.24 tff(18870,plain,
% 73.35/46.24 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB127) | (~v112(constB127)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB127) | (~v112(constB127)))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18871,plain,
% 73.35/46.24 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB127) | (~v112(constB127)))),
% 73.35/46.24 inference(quant_inst,[status(thm)],[])).
% 73.35/46.24 tff(18872,plain,
% 73.35/46.24 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB127) | (~v112(constB127))),
% 73.35/46.24 inference(modus_ponens,[status(thm)],[18871, 18870])).
% 73.35/46.24 tff(18873,plain,
% 73.35/46.24 (v108(constB127)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18872, 210, 18869])).
% 73.35/46.24 tff(18874,plain,
% 73.35/46.24 (nextState(constB127, constB128) <=> nextState(constB127, constB128)),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18875,axiom,(nextState(constB127, constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_127_1')).
% 73.35/46.24 tff(18876,plain,
% 73.35/46.24 (nextState(constB127, constB128)),
% 73.35/46.24 inference(modus_ponens,[status(thm)],[18875, 18874])).
% 73.35/46.24 tff(18877,plain,
% 73.35/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18878,plain,
% 73.35/46.24 (((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128)) <=> ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18879,plain,
% 73.35/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127))))),
% 73.35/46.24 inference(monotonicity,[status(thm)],[18878])).
% 73.35/46.24 tff(18880,plain,
% 73.35/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 73.35/46.24 inference(transitivity,[status(thm)],[18879, 18877])).
% 73.35/46.24 tff(18881,plain,
% 73.35/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))),
% 73.35/46.24 inference(quant_inst,[status(thm)],[])).
% 73.35/46.24 tff(18882,plain,
% 73.35/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127))),
% 73.35/46.24 inference(modus_ponens,[status(thm)],[18881, 18880])).
% 73.35/46.24 tff(18883,plain,
% 73.35/46.24 (v110(constB128) | (~v108(constB127))),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18882, 317, 18876])).
% 73.35/46.24 tff(18884,plain,
% 73.35/46.24 (v110(constB128)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18883, 18873])).
% 73.35/46.24 tff(18885,plain,
% 73.35/46.24 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18886,plain,
% 73.35/46.24 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))),
% 73.35/46.24 inference(quant_inst,[status(thm)],[])).
% 73.35/46.24 tff(18887,plain,
% 73.35/46.24 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128))),
% 73.35/46.24 inference(modus_ponens,[status(thm)],[18886, 18885])).
% 73.35/46.24 tff(18888,plain,
% 73.35/46.24 (~v104(constB128)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18887, 335, 18876, 18751])).
% 73.35/46.24 tff(18889,plain,
% 73.35/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18890,plain,
% 73.35/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))),
% 73.35/46.24 inference(quant_inst,[status(thm)],[])).
% 73.35/46.24 tff(18891,plain,
% 73.35/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v102(constB128) | v104(constB128)),
% 73.35/46.24 inference(modus_ponens,[status(thm)],[18890, 18889])).
% 73.35/46.24 tff(18892,plain,
% 73.35/46.24 (v102(constB128) | v104(constB128)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18891, 349, 18876])).
% 73.35/46.24 tff(18893,plain,
% 73.35/46.24 (v102(constB128)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18892, 18888])).
% 73.35/46.24 tff(18894,plain,
% 73.35/46.24 (v1(constB128) <=> v1(constB128)),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18895,axiom,(v1(constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_128_1')).
% 73.35/46.24 tff(18896,plain,
% 73.35/46.24 (v1(constB128)),
% 73.35/46.24 inference(modus_ponens,[status(thm)],[18895, 18894])).
% 73.35/46.24 tff(18897,plain,
% 73.35/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18898,plain,
% 73.35/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))),
% 73.35/46.24 inference(quant_inst,[status(thm)],[])).
% 73.35/46.24 tff(18899,plain,
% 73.35/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128))),
% 73.35/46.24 inference(modus_ponens,[status(thm)],[18898, 18897])).
% 73.35/46.24 tff(18900,plain,
% 73.35/46.24 (v101(constB128) | (~v102(constB128))),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18899, 367, 18876, 18896])).
% 73.35/46.24 tff(18901,plain,
% 73.35/46.24 (v101(constB128)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18900, 18893])).
% 73.35/46.24 tff(18902,plain,
% 73.35/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18903,plain,
% 73.35/46.24 (((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128)) <=> ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18904,plain,
% 73.35/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128))))),
% 73.35/46.24 inference(monotonicity,[status(thm)],[18903])).
% 73.35/46.24 tff(18905,plain,
% 73.35/46.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 73.35/46.24 inference(transitivity,[status(thm)],[18904, 18902])).
% 73.35/46.24 tff(18906,plain,
% 73.35/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))),
% 73.35/46.24 inference(quant_inst,[status(thm)],[])).
% 73.35/46.24 tff(18907,plain,
% 73.35/46.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128))),
% 73.35/46.24 inference(modus_ponens,[status(thm)],[18906, 18905])).
% 73.35/46.24 tff(18908,plain,
% 73.35/46.24 (v100(constB128) | (~v101(constB128)) | (~v110(constB128))),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18907, 382, 18876])).
% 73.35/46.24 tff(18909,plain,
% 73.35/46.24 (v100(constB128) | (~v110(constB128))),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18908, 18901])).
% 73.35/46.24 tff(18910,plain,
% 73.35/46.24 (v100(constB128)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18909, 18884])).
% 73.35/46.24 tff(18911,plain,
% 73.35/46.24 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB127)) | (~v130(constB127, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB127)) | (~v130(constB127, bitIndex1)))),
% 73.35/46.24 inference(rewrite,[status(thm)],[])).
% 73.35/46.24 tff(18912,plain,
% 73.35/46.24 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB127)) | (~v130(constB127, bitIndex1)))),
% 73.35/46.24 inference(quant_inst,[status(thm)],[])).
% 73.35/46.24 tff(18913,plain,
% 73.35/46.24 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB127)) | (~v130(constB127, bitIndex1))),
% 73.35/46.24 inference(modus_ponens,[status(thm)],[18912, 18911])).
% 73.35/46.24 tff(18914,plain,
% 73.35/46.24 (~v130(constB127, bitIndex1)),
% 73.35/46.24 inference(unit_resolution,[status(thm)],[18913, 1389, 18841])).
% 73.35/46.24 tff(18915,plain,
% 73.35/46.24 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(18916,plain,
% 73.35/46.25 ((v26(constB127) | v130(constB127, bitIndex1) | (~v127(constB127, bitIndex1))) <=> ((~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(18917,plain,
% 73.35/46.25 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB127) | v130(constB127, bitIndex1) | (~v127(constB127, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1)))),
% 73.35/46.25 inference(monotonicity,[status(thm)],[18916])).
% 73.35/46.25 tff(18918,plain,
% 73.35/46.25 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB127) | v130(constB127, bitIndex1) | (~v127(constB127, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1))),
% 73.35/46.25 inference(transitivity,[status(thm)],[18917, 18915])).
% 73.35/46.25 tff(18919,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB127) | v130(constB127, bitIndex1) | (~v127(constB127, bitIndex1)))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(18920,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB127, bitIndex1)) | v26(constB127) | v130(constB127, bitIndex1)),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[18919, 18918])).
% 73.35/46.25 tff(18921,plain,
% 73.35/46.25 ((~v127(constB127, bitIndex1)) | v130(constB127, bitIndex1)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[18920, 555, 18861])).
% 73.35/46.25 tff(18922,plain,
% 73.35/46.25 (~v127(constB127, bitIndex1)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[18921, 18914])).
% 73.35/46.25 tff(18923,plain,
% 73.35/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1)))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(18924,plain,
% 73.35/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1)))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(18925,plain,
% 73.35/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1))),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[18924, 18923])).
% 73.35/46.25 tff(18926,plain,
% 73.35/46.25 (v127(constB127, bitIndex1) | (~v129(constB128, bitIndex1))),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[18925, 588, 18876])).
% 73.35/46.25 tff(18927,plain,
% 73.35/46.25 (~v129(constB128, bitIndex1)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[18926, 18922])).
% 73.35/46.25 tff(18928,plain,
% 73.35/46.25 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128)))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(18929,plain,
% 73.35/46.25 (((~v90(constB128, bitIndex1)) | (~v100(constB128)) | v129(constB128, bitIndex1)) <=> ((~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128)))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(18930,plain,
% 73.35/46.25 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | (~v100(constB128)) | v129(constB128, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128))))),
% 73.35/46.25 inference(monotonicity,[status(thm)],[18929])).
% 73.35/46.25 tff(18931,plain,
% 73.35/46.25 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | (~v100(constB128)) | v129(constB128, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128)))),
% 73.35/46.25 inference(transitivity,[status(thm)],[18930, 18928])).
% 73.35/46.25 tff(18932,plain,
% 73.35/46.25 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB128, bitIndex1)) | (~v100(constB128)) | v129(constB128, bitIndex1))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(18933,plain,
% 73.35/46.25 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1) | (~v100(constB128))),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[18932, 18931])).
% 73.35/46.25 tff(18934,plain,
% 73.35/46.25 ((~v90(constB128, bitIndex1)) | (~v100(constB128))),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[18933, 603, 18927])).
% 73.35/46.25 tff(18935,plain,
% 73.35/46.25 (~v90(constB128, bitIndex1)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[18934, 18910])).
% 73.35/46.25 tff(18936,plain,
% 73.35/46.25 ((~v1(constB129)) <=> (~v1(constB129))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(18937,axiom,(~v1(constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_129_1_1')).
% 73.35/46.25 tff(18938,plain,
% 73.35/46.25 (~v1(constB129)),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[18937, 18936])).
% 73.35/46.25 tff(18939,plain,
% 73.35/46.25 (nextState(constB128, constB129) <=> nextState(constB128, constB129)),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(18940,axiom,(nextState(constB128, constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_128_1')).
% 73.35/46.25 tff(18941,plain,
% 73.35/46.25 (nextState(constB128, constB129)),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[18940, 18939])).
% 73.35/46.25 tff(18942,plain,
% 73.35/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(18943,plain,
% 73.35/46.25 (((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129)) <=> (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(18944,plain,
% 73.35/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129))))),
% 73.35/46.25 inference(monotonicity,[status(thm)],[18943])).
% 73.35/46.25 tff(18945,plain,
% 73.35/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 73.35/46.25 inference(transitivity,[status(thm)],[18944, 18942])).
% 73.35/46.25 tff(18946,plain,
% 73.35/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(18947,plain,
% 73.35/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129))),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[18946, 18945])).
% 73.35/46.25 tff(18948,plain,
% 73.35/46.25 (~v101(constB129)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[18947, 56, 18941, 18938])).
% 73.35/46.25 tff(18949,plain,
% 73.35/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(18950,plain,
% 73.35/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(18951,plain,
% 73.35/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129))),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[18950, 18949])).
% 73.35/46.25 tff(18952,plain,
% 73.35/46.25 (v101(constB129) | (~v100(constB129))),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[18951, 73, 18941])).
% 73.35/46.25 tff(18953,plain,
% 73.35/46.25 (~v100(constB129)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[18952, 18948])).
% 73.35/46.25 tff(18954,plain,
% 73.35/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1)))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(18955,plain,
% 73.35/46.25 (((~nextState(constB128, constB129)) | v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1))) <=> (v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1)))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(18956,plain,
% 73.35/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1))))),
% 73.35/46.25 inference(monotonicity,[status(thm)],[18955])).
% 73.35/46.25 tff(18957,plain,
% 73.35/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1)))),
% 73.35/46.25 inference(transitivity,[status(thm)],[18956, 18954])).
% 73.35/46.25 tff(18958,plain,
% 73.35/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1)))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(18959,plain,
% 73.35/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex1))),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[18958, 18957])).
% 73.35/46.25 tff(18960,plain,
% 73.35/46.25 (v90(constB128, bitIndex1) | v100(constB129) | (~v90(constB129, bitIndex1))),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[18959, 109, 18941])).
% 73.35/46.25 tff(18961,plain,
% 73.35/46.25 (v90(constB128, bitIndex1) | (~v90(constB129, bitIndex1))),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[18960, 18953])).
% 73.35/46.25 tff(18962,plain,
% 73.35/46.25 (~v90(constB129, bitIndex1)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[18961, 18935])).
% 73.35/46.25 tff(18963,assumption,(~v114(constB129)), introduced(assumption)).
% 73.35/46.25 tff(18964,plain,
% 73.35/46.25 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB129) | (~v115(constB129)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB129) | (~v115(constB129)))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(18965,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB129) | (~v115(constB129)))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(18966,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB129) | (~v115(constB129))),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[18965, 18964])).
% 73.35/46.25 tff(18967,plain,
% 73.35/46.25 (~v115(constB129)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[18966, 276, 18963])).
% 73.35/46.25 tff(18968,plain,
% 73.35/46.25 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB129) | (~v116(constB129)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB129) | (~v116(constB129)))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(18969,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB129) | (~v116(constB129)))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(18970,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB129) | (~v116(constB129))),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[18969, 18968])).
% 73.35/46.25 tff(18971,plain,
% 73.35/46.25 (~v116(constB129)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[18970, 265, 18967])).
% 73.35/46.25 tff(18972,plain,
% 73.35/46.25 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB129) | (~v117(constB129)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB129) | (~v117(constB129)))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(18973,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB129) | (~v117(constB129)))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(18974,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB129) | (~v117(constB129))),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[18973, 18972])).
% 73.35/46.25 tff(18975,plain,
% 73.35/46.25 (~v117(constB129)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[18974, 254, 18971])).
% 73.35/46.25 tff(18976,plain,
% 73.35/46.25 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB129) | (~v118(constB129)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB129) | (~v118(constB129)))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(18977,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB129) | (~v118(constB129)))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(18978,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB129) | (~v118(constB129))),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[18977, 18976])).
% 73.35/46.25 tff(18979,plain,
% 73.35/46.25 (~v118(constB129)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[18978, 243, 18975])).
% 73.35/46.25 tff(18980,plain,
% 73.35/46.25 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB129) | (~v120(constB129)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB129) | (~v120(constB129)))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(18981,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB129) | (~v120(constB129)))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(18982,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB129) | (~v120(constB129))),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[18981, 18980])).
% 73.35/46.25 tff(18983,plain,
% 73.35/46.25 (~v120(constB129)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[18982, 646, 18979])).
% 73.35/46.25 tff(18984,plain,
% 73.35/46.25 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB129) | (~v123(constB129)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB129) | (~v123(constB129)))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(18985,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB129) | (~v123(constB129)))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(18986,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB129) | (~v123(constB129))),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[18985, 18984])).
% 73.35/46.25 tff(18987,plain,
% 73.35/46.25 (~v123(constB129)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[18986, 1488, 18967])).
% 73.35/46.25 tff(18988,assumption,(~v90(constB129, bitIndex1)), introduced(assumption)).
% 73.35/46.25 tff(18989,plain,
% 73.35/46.25 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB129) | (~v119(constB129)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB129) | (~v119(constB129)))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(18990,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB129) | (~v119(constB129)))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(18991,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB129) | (~v119(constB129))),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[18990, 18989])).
% 73.35/46.25 tff(18992,plain,
% 73.35/46.25 (~v119(constB129)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[18991, 232, 18979])).
% 73.35/46.25 tff(18993,assumption,(~v119(constB129)), introduced(assumption)).
% 73.35/46.25 tff(18994,assumption,(~v90(constB129, bitIndex0)), introduced(assumption)).
% 73.35/46.25 tff(18995,assumption,(~v123(constB129)), introduced(assumption)).
% 73.35/46.25 tff(18996,plain,
% 73.35/46.25 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v123(constB129))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v123(constB129))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(18997,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v123(constB129))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(18998,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v123(constB129)),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[18997, 18996])).
% 73.35/46.25 tff(18999,plain,
% 73.35/46.25 (v90(constB129, bitIndex0) | (~v90(constB129, bitIndex2)) | v123(constB129)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[18998, 1477, 18988])).
% 73.35/46.25 tff(19000,plain,
% 73.35/46.25 (~v90(constB129, bitIndex2)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[18999, 18994, 18995])).
% 73.35/46.25 tff(19001,plain,
% 73.35/46.25 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB129) | v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB129) | v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(19002,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB129) | v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(19003,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB129) | v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2)),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[19002, 19001])).
% 73.35/46.25 tff(19004,plain,
% 73.35/46.25 (v119(constB129) | v90(constB129, bitIndex0) | v90(constB129, bitIndex2)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[19003, 151, 18988])).
% 73.35/46.25 tff(19005,plain,
% 73.35/46.25 ($false),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[19004, 19000, 18994, 18993])).
% 73.35/46.25 tff(19006,plain,(v90(constB129, bitIndex0) | v119(constB129) | v90(constB129, bitIndex1) | v123(constB129)), inference(lemma,lemma(discharge,[]))).
% 73.35/46.25 tff(19007,plain,
% 73.35/46.25 (v90(constB129, bitIndex0)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[19006, 18992, 18988, 18987])).
% 73.35/46.25 tff(19008,plain,
% 73.35/46.25 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB129) | (~v124(constB129)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB129) | (~v124(constB129)))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(19009,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB129) | (~v124(constB129)))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(19010,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB129) | (~v124(constB129))),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[19009, 19008])).
% 73.35/46.25 tff(19011,plain,
% 73.35/46.25 (~v124(constB129)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[19010, 1718, 18963])).
% 73.35/46.25 tff(19012,plain,
% 73.35/46.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB129, bitIndex0)) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v124(constB129))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB129, bitIndex0)) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v124(constB129))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(19013,plain,
% 73.35/46.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB129, bitIndex0)) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v124(constB129))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(19014,plain,
% 73.35/46.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB129, bitIndex0)) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)) | v124(constB129)),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[19013, 19012])).
% 73.35/46.25 tff(19015,plain,
% 73.35/46.25 ((~v90(constB129, bitIndex0)) | (~v90(constB129, bitIndex2)) | v124(constB129)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[19014, 1707, 18988])).
% 73.35/46.25 tff(19016,plain,
% 73.35/46.25 (~v90(constB129, bitIndex2)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[19015, 19007, 19011])).
% 73.35/46.25 tff(19017,plain,
% 73.35/46.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB129, bitIndex0)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2) | v120(constB129))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB129, bitIndex0)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2) | v120(constB129))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(19018,plain,
% 73.35/46.25 (((~v90(constB129, bitIndex0)) | v120(constB129) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2)) <=> ((~v90(constB129, bitIndex0)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2) | v120(constB129))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(19019,plain,
% 73.35/46.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB129, bitIndex0)) | v120(constB129) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB129, bitIndex0)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2) | v120(constB129)))),
% 73.35/46.25 inference(monotonicity,[status(thm)],[19018])).
% 73.35/46.25 tff(19020,plain,
% 73.35/46.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB129, bitIndex0)) | v120(constB129) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB129, bitIndex0)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2) | v120(constB129))),
% 73.35/46.25 inference(transitivity,[status(thm)],[19019, 19017])).
% 73.35/46.25 tff(19021,plain,
% 73.35/46.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB129, bitIndex0)) | v120(constB129) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(19022,plain,
% 73.35/46.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB129, bitIndex0)) | v90(constB129, bitIndex1) | v90(constB129, bitIndex2) | v120(constB129)),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[19021, 19020])).
% 73.35/46.25 tff(19023,plain,
% 73.35/46.25 ((~v90(constB129, bitIndex0)) | v90(constB129, bitIndex2) | v120(constB129)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[19022, 631, 18988])).
% 73.35/46.25 tff(19024,plain,
% 73.35/46.25 ($false),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[19023, 19016, 19007, 18983])).
% 73.35/46.25 tff(19025,plain,(v114(constB129) | v90(constB129, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 73.35/46.25 tff(19026,plain,
% 73.35/46.25 (v114(constB129)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[19025, 18962])).
% 73.35/46.25 tff(19027,plain,
% 73.35/46.25 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB129) | (~v114(constB129)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB129) | (~v114(constB129)))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(19028,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB129) | (~v114(constB129)))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(19029,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB129) | (~v114(constB129))),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[19028, 19027])).
% 73.35/46.25 tff(19030,plain,
% 73.35/46.25 (v113(constB129)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[19029, 287, 19026])).
% 73.35/46.25 tff(19031,assumption,(v26(constB129)), introduced(assumption)).
% 73.35/46.25 tff(19032,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB129))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(19033,plain,
% 73.35/46.25 ($false),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[19032, 37, 19031])).
% 73.35/46.25 tff(19034,plain,(~v26(constB129)), inference(lemma,lemma(discharge,[]))).
% 73.35/46.25 tff(19035,plain,
% 73.35/46.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | (~v113(constB129)) | v112(constB129))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(19036,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(19037,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | (~v113(constB129)) | v112(constB129)),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[19036, 19035])).
% 73.35/46.25 tff(19038,plain,
% 73.35/46.25 ((~v113(constB129)) | v112(constB129)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[19037, 301, 19034])).
% 73.35/46.25 tff(19039,plain,
% 73.35/46.25 (v112(constB129)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[19038, 19030])).
% 73.35/46.25 tff(19040,plain,
% 73.35/46.25 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB129) | (~v112(constB129)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB129) | (~v112(constB129)))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(19041,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB129) | (~v112(constB129)))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(19042,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB129) | (~v112(constB129))),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[19041, 19040])).
% 73.35/46.25 tff(19043,plain,
% 73.35/46.25 (v108(constB129)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[19042, 210, 19039])).
% 73.35/46.25 tff(19044,plain,
% 73.35/46.25 (nextState(constB129, constB130) <=> nextState(constB129, constB130)),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(19045,axiom,(nextState(constB129, constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_129_1')).
% 73.35/46.25 tff(19046,plain,
% 73.35/46.25 (nextState(constB129, constB130)),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[19045, 19044])).
% 73.35/46.25 tff(19047,plain,
% 73.35/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(19048,plain,
% 73.35/46.25 (((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130)) <=> ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(19049,plain,
% 73.35/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129))))),
% 73.35/46.25 inference(monotonicity,[status(thm)],[19048])).
% 73.35/46.25 tff(19050,plain,
% 73.35/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 73.35/46.25 inference(transitivity,[status(thm)],[19049, 19047])).
% 73.35/46.25 tff(19051,plain,
% 73.35/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(19052,plain,
% 73.35/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129))),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[19051, 19050])).
% 73.35/46.25 tff(19053,plain,
% 73.35/46.25 (v110(constB130) | (~v108(constB129))),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[19052, 317, 19046])).
% 73.35/46.25 tff(19054,plain,
% 73.35/46.25 (v110(constB130)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[19053, 19043])).
% 73.35/46.25 tff(19055,plain,
% 73.35/46.25 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(19056,plain,
% 73.35/46.25 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(19057,plain,
% 73.35/46.25 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130))),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[19056, 19055])).
% 73.35/46.25 tff(19058,plain,
% 73.35/46.25 (~v104(constB130)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[19057, 335, 19046, 18938])).
% 73.35/46.25 tff(19059,plain,
% 73.35/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(19060,plain,
% 73.35/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(19061,plain,
% 73.35/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v102(constB130) | v104(constB130)),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[19060, 19059])).
% 73.35/46.25 tff(19062,plain,
% 73.35/46.25 (v102(constB130) | v104(constB130)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[19061, 349, 19046])).
% 73.35/46.25 tff(19063,plain,
% 73.35/46.25 (v102(constB130)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[19062, 19058])).
% 73.35/46.25 tff(19064,plain,
% 73.35/46.25 (v1(constB130) <=> v1(constB130)),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(19065,axiom,(v1(constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_130_1')).
% 73.35/46.25 tff(19066,plain,
% 73.35/46.25 (v1(constB130)),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[19065, 19064])).
% 73.35/46.25 tff(19067,plain,
% 73.35/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(19068,plain,
% 73.35/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(19069,plain,
% 73.35/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130))),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[19068, 19067])).
% 73.35/46.25 tff(19070,plain,
% 73.35/46.25 (v101(constB130) | (~v102(constB130))),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[19069, 367, 19046, 19066])).
% 73.35/46.25 tff(19071,plain,
% 73.35/46.25 (v101(constB130)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[19070, 19063])).
% 73.35/46.25 tff(19072,plain,
% 73.35/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(19073,plain,
% 73.35/46.25 (((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130)) <=> ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(19074,plain,
% 73.35/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130))))),
% 73.35/46.25 inference(monotonicity,[status(thm)],[19073])).
% 73.35/46.25 tff(19075,plain,
% 73.35/46.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 73.35/46.25 inference(transitivity,[status(thm)],[19074, 19072])).
% 73.35/46.25 tff(19076,plain,
% 73.35/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(19077,plain,
% 73.35/46.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130))),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[19076, 19075])).
% 73.35/46.25 tff(19078,plain,
% 73.35/46.25 (v100(constB130) | (~v101(constB130)) | (~v110(constB130))),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[19077, 382, 19046])).
% 73.35/46.25 tff(19079,plain,
% 73.35/46.25 (v100(constB130) | (~v110(constB130))),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[19078, 19071])).
% 73.35/46.25 tff(19080,plain,
% 73.35/46.25 (v100(constB130)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[19079, 19054])).
% 73.35/46.25 tff(19081,plain,
% 73.35/46.25 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB127)) | v130(constB127, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB127)) | v130(constB127, bitIndex2))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(19082,plain,
% 73.35/46.25 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB127)) | v130(constB127, bitIndex2))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(19083,plain,
% 73.35/46.25 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB127)) | v130(constB127, bitIndex2)),
% 73.35/46.25 inference(modus_ponens,[status(thm)],[19082, 19081])).
% 73.35/46.25 tff(19084,plain,
% 73.35/46.25 (v130(constB127, bitIndex2)),
% 73.35/46.25 inference(unit_resolution,[status(thm)],[19083, 1290, 18841])).
% 73.35/46.25 tff(19085,plain,
% 73.35/46.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB127) | (~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB127) | (~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2))),
% 73.35/46.25 inference(rewrite,[status(thm)],[])).
% 73.35/46.25 tff(19086,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB127) | (~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2))),
% 73.35/46.25 inference(quant_inst,[status(thm)],[])).
% 73.35/46.25 tff(19087,plain,
% 73.35/46.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB127) | (~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2)),
% 73.35/46.26 inference(modus_ponens,[status(thm)],[19086, 19085])).
% 73.35/46.26 tff(19088,plain,
% 73.35/46.26 ((~v130(constB127, bitIndex2)) | v127(constB127, bitIndex2)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19087, 1304, 18861])).
% 73.35/46.26 tff(19089,plain,
% 73.35/46.26 (v127(constB127, bitIndex2)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19088, 19084])).
% 73.35/46.26 tff(19090,plain,
% 73.35/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB127, constB128)) | (~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB127, constB128)) | (~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19091,plain,
% 73.35/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB127, constB128)) | (~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2))),
% 73.35/46.26 inference(quant_inst,[status(thm)],[])).
% 73.35/46.26 tff(19092,plain,
% 73.35/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB127, constB128)) | (~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2)),
% 73.35/46.26 inference(modus_ponens,[status(thm)],[19091, 19090])).
% 73.35/46.26 tff(19093,plain,
% 73.35/46.26 ((~v127(constB127, bitIndex2)) | v129(constB128, bitIndex2)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19092, 1319, 18876])).
% 73.35/46.26 tff(19094,plain,
% 73.35/46.26 (v129(constB128, bitIndex2)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19093, 19089])).
% 73.35/46.26 tff(19095,plain,
% 73.35/46.26 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128)))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19096,plain,
% 73.35/46.26 ((v90(constB128, bitIndex2) | (~v100(constB128)) | (~v129(constB128, bitIndex2))) <=> (v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128)))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19097,plain,
% 73.35/46.26 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~v100(constB128)) | (~v129(constB128, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128))))),
% 73.35/46.26 inference(monotonicity,[status(thm)],[19096])).
% 73.35/46.26 tff(19098,plain,
% 73.35/46.26 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~v100(constB128)) | (~v129(constB128, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128)))),
% 73.35/46.26 inference(transitivity,[status(thm)],[19097, 19095])).
% 73.35/46.26 tff(19099,plain,
% 73.35/46.26 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB128, bitIndex2) | (~v100(constB128)) | (~v129(constB128, bitIndex2)))),
% 73.35/46.26 inference(quant_inst,[status(thm)],[])).
% 73.35/46.26 tff(19100,plain,
% 73.35/46.26 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2)) | (~v100(constB128))),
% 73.35/46.26 inference(modus_ponens,[status(thm)],[19099, 19098])).
% 73.35/46.26 tff(19101,plain,
% 73.35/46.26 (v90(constB128, bitIndex2) | (~v100(constB128))),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19100, 1334, 19094])).
% 73.35/46.26 tff(19102,plain,
% 73.35/46.26 (v90(constB128, bitIndex2)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19101, 18910])).
% 73.35/46.26 tff(19103,plain,
% 73.35/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex2))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19104,plain,
% 73.35/46.26 (((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex2)) | v100(constB129) | v90(constB129, bitIndex2)) <=> ((~v90(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex2))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19105,plain,
% 73.35/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex2)) | v100(constB129) | v90(constB129, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex2)))),
% 73.35/46.26 inference(monotonicity,[status(thm)],[19104])).
% 73.35/46.26 tff(19106,plain,
% 73.35/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex2)) | v100(constB129) | v90(constB129, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex2))),
% 73.35/46.26 inference(transitivity,[status(thm)],[19105, 19103])).
% 73.35/46.26 tff(19107,plain,
% 73.35/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex2)) | v100(constB129) | v90(constB129, bitIndex2))),
% 73.35/46.26 inference(quant_inst,[status(thm)],[])).
% 73.35/46.26 tff(19108,plain,
% 73.35/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex2)),
% 73.35/46.26 inference(modus_ponens,[status(thm)],[19107, 19106])).
% 73.35/46.26 tff(19109,plain,
% 73.35/46.26 ((~v90(constB128, bitIndex2)) | v100(constB129) | v90(constB129, bitIndex2)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19108, 1370, 18941])).
% 73.35/46.26 tff(19110,plain,
% 73.35/46.26 ((~v90(constB128, bitIndex2)) | v90(constB129, bitIndex2)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19109, 18953])).
% 73.35/46.26 tff(19111,plain,
% 73.35/46.26 (v90(constB129, bitIndex2)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19110, 19102])).
% 73.35/46.26 tff(19112,plain,
% 73.35/46.26 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB127)) | (~v130(constB127, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB127)) | (~v130(constB127, bitIndex0)))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19113,plain,
% 73.35/46.26 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB127)) | (~v130(constB127, bitIndex0)))),
% 73.35/46.26 inference(quant_inst,[status(thm)],[])).
% 73.35/46.26 tff(19114,plain,
% 73.35/46.26 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB127)) | (~v130(constB127, bitIndex0))),
% 73.35/46.26 inference(modus_ponens,[status(thm)],[19113, 19112])).
% 73.35/46.26 tff(19115,plain,
% 73.35/46.26 (~v130(constB127, bitIndex0)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19114, 1433, 18841])).
% 73.35/46.26 tff(19116,plain,
% 73.35/46.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19117,plain,
% 73.35/46.26 ((v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0))) <=> ((~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19118,plain,
% 73.35/46.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0)))),
% 73.35/46.26 inference(monotonicity,[status(thm)],[19117])).
% 73.35/46.26 tff(19119,plain,
% 73.35/46.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))),
% 73.35/46.26 inference(transitivity,[status(thm)],[19118, 19116])).
% 73.35/46.26 tff(19120,plain,
% 73.35/46.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0)))),
% 73.35/46.26 inference(quant_inst,[status(thm)],[])).
% 73.35/46.26 tff(19121,plain,
% 73.35/46.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0)),
% 73.35/46.26 inference(modus_ponens,[status(thm)],[19120, 19119])).
% 73.35/46.26 tff(19122,plain,
% 73.35/46.26 ((~v127(constB127, bitIndex0)) | v130(constB127, bitIndex0)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19121, 905, 18861])).
% 73.35/46.26 tff(19123,plain,
% 73.35/46.26 (~v127(constB127, bitIndex0)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19122, 19115])).
% 73.35/46.26 tff(19124,plain,
% 73.35/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0)))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19125,plain,
% 73.35/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0)))),
% 73.35/46.26 inference(quant_inst,[status(thm)],[])).
% 73.35/46.26 tff(19126,plain,
% 73.35/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0))),
% 73.35/46.26 inference(modus_ponens,[status(thm)],[19125, 19124])).
% 73.35/46.26 tff(19127,plain,
% 73.35/46.26 (v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0))),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19126, 923, 18876])).
% 73.35/46.26 tff(19128,plain,
% 73.35/46.26 (~v129(constB128, bitIndex0)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19127, 19123])).
% 73.35/46.26 tff(19129,plain,
% 73.35/46.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19130,plain,
% 73.35/46.26 (((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0)) <=> ((~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19131,plain,
% 73.35/46.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128))))),
% 73.35/46.26 inference(monotonicity,[status(thm)],[19130])).
% 73.35/46.26 tff(19132,plain,
% 73.35/46.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))),
% 73.35/46.26 inference(transitivity,[status(thm)],[19131, 19129])).
% 73.35/46.26 tff(19133,plain,
% 73.35/46.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0))),
% 73.35/46.26 inference(quant_inst,[status(thm)],[])).
% 73.35/46.26 tff(19134,plain,
% 73.35/46.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128))),
% 73.35/46.26 inference(modus_ponens,[status(thm)],[19133, 19132])).
% 73.35/46.26 tff(19135,plain,
% 73.35/46.26 ((~v90(constB128, bitIndex0)) | (~v100(constB128))),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19134, 938, 19128])).
% 73.35/46.26 tff(19136,plain,
% 73.35/46.26 (~v90(constB128, bitIndex0)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19135, 18910])).
% 73.35/46.26 tff(19137,plain,
% 73.35/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19138,plain,
% 73.35/46.26 (((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0))) <=> (v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19139,plain,
% 73.35/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0))))),
% 73.35/46.26 inference(monotonicity,[status(thm)],[19138])).
% 73.35/46.26 tff(19140,plain,
% 73.35/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 73.35/46.26 inference(transitivity,[status(thm)],[19139, 19137])).
% 73.35/46.26 tff(19141,plain,
% 73.35/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 73.35/46.26 inference(quant_inst,[status(thm)],[])).
% 73.35/46.26 tff(19142,plain,
% 73.35/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0))),
% 73.35/46.26 inference(modus_ponens,[status(thm)],[19141, 19140])).
% 73.35/46.26 tff(19143,plain,
% 73.35/46.26 (v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0))),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19142, 130, 18941])).
% 73.35/46.26 tff(19144,plain,
% 73.35/46.26 (v90(constB128, bitIndex0) | (~v90(constB129, bitIndex0))),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19143, 18953])).
% 73.35/46.26 tff(19145,plain,
% 73.35/46.26 (~v90(constB129, bitIndex0)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19144, 19136])).
% 73.35/46.26 tff(19146,plain,
% 73.35/46.26 (v123(constB129)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[18998, 1477, 19145, 18962, 19111])).
% 73.35/46.26 tff(19147,plain,
% 73.35/46.26 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB129)) | v130(constB129, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB129)) | v130(constB129, bitIndex2))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19148,plain,
% 73.35/46.26 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB129)) | v130(constB129, bitIndex2))),
% 73.35/46.26 inference(quant_inst,[status(thm)],[])).
% 73.35/46.26 tff(19149,plain,
% 73.35/46.26 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB129)) | v130(constB129, bitIndex2)),
% 73.35/46.26 inference(modus_ponens,[status(thm)],[19148, 19147])).
% 73.35/46.26 tff(19150,plain,
% 73.35/46.26 (v130(constB129, bitIndex2)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19149, 1563, 19146])).
% 73.35/46.26 tff(19151,plain,
% 73.35/46.26 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB129) | (~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB129) | (~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19152,plain,
% 73.35/46.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB129) | (~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2))),
% 73.35/46.26 inference(quant_inst,[status(thm)],[])).
% 73.35/46.26 tff(19153,plain,
% 73.35/46.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB129) | (~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2)),
% 73.35/46.26 inference(modus_ponens,[status(thm)],[19152, 19151])).
% 73.35/46.26 tff(19154,plain,
% 73.35/46.26 ((~v130(constB129, bitIndex2)) | v127(constB129, bitIndex2)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19153, 1304, 19034])).
% 73.35/46.26 tff(19155,plain,
% 73.35/46.26 (v127(constB129, bitIndex2)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19154, 19150])).
% 73.35/46.26 tff(19156,plain,
% 73.35/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19157,plain,
% 73.35/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2))),
% 73.35/46.26 inference(quant_inst,[status(thm)],[])).
% 73.35/46.26 tff(19158,plain,
% 73.35/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2)),
% 73.35/46.26 inference(modus_ponens,[status(thm)],[19157, 19156])).
% 73.35/46.26 tff(19159,plain,
% 73.35/46.26 ((~v127(constB129, bitIndex2)) | v129(constB130, bitIndex2)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19158, 1319, 19046])).
% 73.35/46.26 tff(19160,plain,
% 73.35/46.26 (v129(constB130, bitIndex2)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19159, 19155])).
% 73.35/46.26 tff(19161,plain,
% 73.35/46.26 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130)))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19162,plain,
% 73.35/46.26 ((v90(constB130, bitIndex2) | (~v100(constB130)) | (~v129(constB130, bitIndex2))) <=> (v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130)))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19163,plain,
% 73.35/46.26 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~v100(constB130)) | (~v129(constB130, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130))))),
% 73.35/46.26 inference(monotonicity,[status(thm)],[19162])).
% 73.35/46.26 tff(19164,plain,
% 73.35/46.26 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~v100(constB130)) | (~v129(constB130, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130)))),
% 73.35/46.26 inference(transitivity,[status(thm)],[19163, 19161])).
% 73.35/46.26 tff(19165,plain,
% 73.35/46.26 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB130, bitIndex2) | (~v100(constB130)) | (~v129(constB130, bitIndex2)))),
% 73.35/46.26 inference(quant_inst,[status(thm)],[])).
% 73.35/46.26 tff(19166,plain,
% 73.35/46.26 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2)) | (~v100(constB130))),
% 73.35/46.26 inference(modus_ponens,[status(thm)],[19165, 19164])).
% 73.35/46.26 tff(19167,plain,
% 73.35/46.26 (v90(constB130, bitIndex2) | (~v100(constB130))),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19166, 1334, 19160])).
% 73.35/46.26 tff(19168,plain,
% 73.35/46.26 (v90(constB130, bitIndex2)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19167, 19080])).
% 73.35/46.26 tff(19169,plain,
% 73.35/46.26 ((~v1(constB131)) <=> (~v1(constB131))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19170,axiom,(~v1(constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_131_1_1')).
% 73.35/46.26 tff(19171,plain,
% 73.35/46.26 (~v1(constB131)),
% 73.35/46.26 inference(modus_ponens,[status(thm)],[19170, 19169])).
% 73.35/46.26 tff(19172,plain,
% 73.35/46.26 (nextState(constB130, constB131) <=> nextState(constB130, constB131)),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19173,axiom,(nextState(constB130, constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_130_1')).
% 73.35/46.26 tff(19174,plain,
% 73.35/46.26 (nextState(constB130, constB131)),
% 73.35/46.26 inference(modus_ponens,[status(thm)],[19173, 19172])).
% 73.35/46.26 tff(19175,plain,
% 73.35/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19176,plain,
% 73.35/46.26 (((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131)) <=> (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19177,plain,
% 73.35/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131))))),
% 73.35/46.26 inference(monotonicity,[status(thm)],[19176])).
% 73.35/46.26 tff(19178,plain,
% 73.35/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 73.35/46.26 inference(transitivity,[status(thm)],[19177, 19175])).
% 73.35/46.26 tff(19179,plain,
% 73.35/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))),
% 73.35/46.26 inference(quant_inst,[status(thm)],[])).
% 73.35/46.26 tff(19180,plain,
% 73.35/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131))),
% 73.35/46.26 inference(modus_ponens,[status(thm)],[19179, 19178])).
% 73.35/46.26 tff(19181,plain,
% 73.35/46.26 (~v101(constB131)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19180, 56, 19174, 19171])).
% 73.35/46.26 tff(19182,plain,
% 73.35/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19183,plain,
% 73.35/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))),
% 73.35/46.26 inference(quant_inst,[status(thm)],[])).
% 73.35/46.26 tff(19184,plain,
% 73.35/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131))),
% 73.35/46.26 inference(modus_ponens,[status(thm)],[19183, 19182])).
% 73.35/46.26 tff(19185,plain,
% 73.35/46.26 (v101(constB131) | (~v100(constB131))),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19184, 73, 19174])).
% 73.35/46.26 tff(19186,plain,
% 73.35/46.26 (~v100(constB131)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19185, 19181])).
% 73.35/46.26 tff(19187,plain,
% 73.35/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19188,plain,
% 73.35/46.26 (((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2)) <=> ((~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19189,plain,
% 73.35/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2)))),
% 73.35/46.26 inference(monotonicity,[status(thm)],[19188])).
% 73.35/46.26 tff(19190,plain,
% 73.35/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2))),
% 73.35/46.26 inference(transitivity,[status(thm)],[19189, 19187])).
% 73.35/46.26 tff(19191,plain,
% 73.35/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2))),
% 73.35/46.26 inference(quant_inst,[status(thm)],[])).
% 73.35/46.26 tff(19192,plain,
% 73.35/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex2)),
% 73.35/46.26 inference(modus_ponens,[status(thm)],[19191, 19190])).
% 73.35/46.26 tff(19193,plain,
% 73.35/46.26 ((~v90(constB130, bitIndex2)) | v100(constB131) | v90(constB131, bitIndex2)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19192, 1370, 19174])).
% 73.35/46.26 tff(19194,plain,
% 73.35/46.26 ((~v90(constB130, bitIndex2)) | v90(constB131, bitIndex2)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19193, 19186])).
% 73.35/46.26 tff(19195,plain,
% 73.35/46.26 (v90(constB131, bitIndex2)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19194, 19168])).
% 73.35/46.26 tff(19196,plain,
% 73.35/46.26 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB129)) | (~v130(constB129, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB129)) | (~v130(constB129, bitIndex1)))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19197,plain,
% 73.35/46.26 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB129)) | (~v130(constB129, bitIndex1)))),
% 73.35/46.26 inference(quant_inst,[status(thm)],[])).
% 73.35/46.26 tff(19198,plain,
% 73.35/46.26 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB129)) | (~v130(constB129, bitIndex1))),
% 73.35/46.26 inference(modus_ponens,[status(thm)],[19197, 19196])).
% 73.35/46.26 tff(19199,plain,
% 73.35/46.26 (~v130(constB129, bitIndex1)),
% 73.35/46.26 inference(unit_resolution,[status(thm)],[19198, 1622, 19146])).
% 73.35/46.26 tff(19200,plain,
% 73.35/46.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19201,plain,
% 73.35/46.26 ((v26(constB129) | v130(constB129, bitIndex1) | (~v127(constB129, bitIndex1))) <=> ((~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1))),
% 73.35/46.26 inference(rewrite,[status(thm)],[])).
% 73.35/46.26 tff(19202,plain,
% 73.35/46.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB129) | v130(constB129, bitIndex1) | (~v127(constB129, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1)))),
% 73.35/46.26 inference(monotonicity,[status(thm)],[19201])).
% 73.35/46.26 tff(19203,plain,
% 73.35/46.26 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB129) | v130(constB129, bitIndex1) | (~v127(constB129, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1))),
% 73.35/46.26 inference(transitivity,[status(thm)],[19202, 19200])).
% 73.35/46.26 tff(19204,plain,
% 73.35/46.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB129) | v130(constB129, bitIndex1) | (~v127(constB129, bitIndex1)))),
% 73.35/46.26 inference(quant_inst,[status(thm)],[])).
% 73.35/46.26 tff(19205,plain,
% 73.35/46.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB129, bitIndex1)) | v26(constB129) | v130(constB129, bitIndex1)),
% 73.44/46.26 inference(modus_ponens,[status(thm)],[19204, 19203])).
% 73.44/46.26 tff(19206,plain,
% 73.44/46.26 ((~v127(constB129, bitIndex1)) | v130(constB129, bitIndex1)),
% 73.44/46.26 inference(unit_resolution,[status(thm)],[19205, 555, 19034])).
% 73.44/46.26 tff(19207,plain,
% 73.44/46.26 (~v127(constB129, bitIndex1)),
% 73.44/46.26 inference(unit_resolution,[status(thm)],[19206, 19199])).
% 73.44/46.26 tff(19208,plain,
% 73.44/46.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB129, constB130)) | v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB129, constB130)) | v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1)))),
% 73.44/46.26 inference(rewrite,[status(thm)],[])).
% 73.44/46.26 tff(19209,plain,
% 73.44/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB129, constB130)) | v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1)))),
% 73.44/46.26 inference(quant_inst,[status(thm)],[])).
% 73.44/46.26 tff(19210,plain,
% 73.44/46.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB129, constB130)) | v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1))),
% 73.44/46.26 inference(modus_ponens,[status(thm)],[19209, 19208])).
% 73.44/46.26 tff(19211,plain,
% 73.44/46.26 (v127(constB129, bitIndex1) | (~v129(constB130, bitIndex1))),
% 73.44/46.26 inference(unit_resolution,[status(thm)],[19210, 588, 19046])).
% 73.44/46.26 tff(19212,plain,
% 73.44/46.26 (~v129(constB130, bitIndex1)),
% 73.44/46.26 inference(unit_resolution,[status(thm)],[19211, 19207])).
% 73.44/46.26 tff(19213,plain,
% 73.44/46.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130)))),
% 73.44/46.26 inference(rewrite,[status(thm)],[])).
% 73.44/46.26 tff(19214,plain,
% 73.44/46.26 (((~v90(constB130, bitIndex1)) | (~v100(constB130)) | v129(constB130, bitIndex1)) <=> ((~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130)))),
% 73.44/46.26 inference(rewrite,[status(thm)],[])).
% 73.44/46.26 tff(19215,plain,
% 73.44/46.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | (~v100(constB130)) | v129(constB130, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130))))),
% 73.44/46.26 inference(monotonicity,[status(thm)],[19214])).
% 73.44/46.26 tff(19216,plain,
% 73.44/46.26 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | (~v100(constB130)) | v129(constB130, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130)))),
% 73.44/46.26 inference(transitivity,[status(thm)],[19215, 19213])).
% 73.44/46.26 tff(19217,plain,
% 73.44/46.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB130, bitIndex1)) | (~v100(constB130)) | v129(constB130, bitIndex1))),
% 73.44/46.26 inference(quant_inst,[status(thm)],[])).
% 73.44/46.26 tff(19218,plain,
% 73.44/46.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1) | (~v100(constB130))),
% 73.44/46.26 inference(modus_ponens,[status(thm)],[19217, 19216])).
% 73.44/46.26 tff(19219,plain,
% 73.44/46.26 ((~v90(constB130, bitIndex1)) | (~v100(constB130))),
% 73.44/46.26 inference(unit_resolution,[status(thm)],[19218, 603, 19212])).
% 73.44/46.26 tff(19220,plain,
% 73.44/46.26 (~v90(constB130, bitIndex1)),
% 73.44/46.26 inference(unit_resolution,[status(thm)],[19219, 19080])).
% 73.44/46.26 tff(19221,plain,
% 73.44/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1)))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19222,plain,
% 73.44/46.27 (((~nextState(constB130, constB131)) | v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1))) <=> (v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1)))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19223,plain,
% 73.44/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1))))),
% 73.44/46.27 inference(monotonicity,[status(thm)],[19222])).
% 73.44/46.27 tff(19224,plain,
% 73.44/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1)))),
% 73.44/46.27 inference(transitivity,[status(thm)],[19223, 19221])).
% 73.44/46.27 tff(19225,plain,
% 73.44/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB130, constB131)) | v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1)))),
% 73.44/46.27 inference(quant_inst,[status(thm)],[])).
% 73.44/46.27 tff(19226,plain,
% 73.44/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex1))),
% 73.44/46.27 inference(modus_ponens,[status(thm)],[19225, 19224])).
% 73.44/46.27 tff(19227,plain,
% 73.44/46.27 (v90(constB130, bitIndex1) | v100(constB131) | (~v90(constB131, bitIndex1))),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19226, 109, 19174])).
% 73.44/46.27 tff(19228,plain,
% 73.44/46.27 (v90(constB130, bitIndex1) | (~v90(constB131, bitIndex1))),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19227, 19186])).
% 73.44/46.27 tff(19229,plain,
% 73.44/46.27 (~v90(constB131, bitIndex1)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19228, 19220])).
% 73.44/46.27 tff(19230,plain,
% 73.44/46.27 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB129)) | v130(constB129, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB129)) | v130(constB129, bitIndex0))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19231,plain,
% 73.44/46.27 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB129)) | v130(constB129, bitIndex0))),
% 73.44/46.27 inference(quant_inst,[status(thm)],[])).
% 73.44/46.27 tff(19232,plain,
% 73.44/46.27 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB129)) | v130(constB129, bitIndex0)),
% 73.44/46.27 inference(modus_ponens,[status(thm)],[19231, 19230])).
% 73.44/46.27 tff(19233,plain,
% 73.44/46.27 (v130(constB129, bitIndex0)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19232, 1666, 19146])).
% 73.44/46.27 tff(19234,plain,
% 73.44/46.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19235,plain,
% 73.44/46.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0))),
% 73.44/46.27 inference(quant_inst,[status(thm)],[])).
% 73.44/46.27 tff(19236,plain,
% 73.44/46.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0)),
% 73.44/46.27 inference(modus_ponens,[status(thm)],[19235, 19234])).
% 73.44/46.27 tff(19237,plain,
% 73.44/46.27 ((~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19236, 179, 19034])).
% 73.44/46.27 tff(19238,plain,
% 73.44/46.27 (v127(constB129, bitIndex0)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19237, 19233])).
% 73.44/46.27 tff(19239,plain,
% 73.44/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19240,plain,
% 73.44/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0))),
% 73.44/46.27 inference(quant_inst,[status(thm)],[])).
% 73.44/46.27 tff(19241,plain,
% 73.44/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0)),
% 73.44/46.27 inference(modus_ponens,[status(thm)],[19240, 19239])).
% 73.44/46.27 tff(19242,plain,
% 73.44/46.27 ((~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19241, 197, 19046])).
% 73.44/46.27 tff(19243,plain,
% 73.44/46.27 (v129(constB130, bitIndex0)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19242, 19238])).
% 73.44/46.27 tff(19244,plain,
% 73.44/46.27 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19245,plain,
% 73.44/46.27 ((v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0))) <=> (v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19246,plain,
% 73.44/46.27 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130))))),
% 73.44/46.27 inference(monotonicity,[status(thm)],[19245])).
% 73.44/46.27 tff(19247,plain,
% 73.44/46.27 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))),
% 73.44/46.27 inference(transitivity,[status(thm)],[19246, 19244])).
% 73.44/46.27 tff(19248,plain,
% 73.44/46.27 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0)))),
% 73.44/46.27 inference(quant_inst,[status(thm)],[])).
% 73.44/46.27 tff(19249,plain,
% 73.44/46.27 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130))),
% 73.44/46.27 inference(modus_ponens,[status(thm)],[19248, 19247])).
% 73.44/46.27 tff(19250,plain,
% 73.44/46.27 (v90(constB130, bitIndex0) | (~v100(constB130))),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19249, 401, 19243])).
% 73.44/46.27 tff(19251,plain,
% 73.44/46.27 (v90(constB130, bitIndex0)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19250, 19080])).
% 73.44/46.27 tff(19252,plain,
% 73.44/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19253,plain,
% 73.44/46.27 (((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0)) <=> ((~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19254,plain,
% 73.44/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0)))),
% 73.44/46.27 inference(monotonicity,[status(thm)],[19253])).
% 73.44/46.27 tff(19255,plain,
% 73.44/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))),
% 73.44/46.27 inference(transitivity,[status(thm)],[19254, 19252])).
% 73.44/46.27 tff(19256,plain,
% 73.44/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0))),
% 73.44/46.27 inference(quant_inst,[status(thm)],[])).
% 73.44/46.27 tff(19257,plain,
% 73.44/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0)),
% 73.44/46.27 inference(modus_ponens,[status(thm)],[19256, 19255])).
% 73.44/46.27 tff(19258,plain,
% 73.44/46.27 ((~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19257, 437, 19174])).
% 73.44/46.27 tff(19259,plain,
% 73.44/46.27 ((~v90(constB130, bitIndex0)) | v90(constB131, bitIndex0)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19258, 19186])).
% 73.44/46.27 tff(19260,plain,
% 73.44/46.27 (v90(constB131, bitIndex0)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19259, 19251])).
% 73.44/46.27 tff(19261,plain,
% 73.44/46.27 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v124(constB131))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v124(constB131))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19262,plain,
% 73.44/46.27 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v124(constB131))),
% 73.44/46.27 inference(quant_inst,[status(thm)],[])).
% 73.44/46.27 tff(19263,plain,
% 73.44/46.27 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | v124(constB131)),
% 73.44/46.27 inference(modus_ponens,[status(thm)],[19262, 19261])).
% 73.44/46.27 tff(19264,plain,
% 73.44/46.27 (v124(constB131)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19263, 1707, 19260, 19229, 19195])).
% 73.44/46.27 tff(19265,plain,
% 73.44/46.27 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB131) | (~v124(constB131)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB131) | (~v124(constB131)))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19266,plain,
% 73.44/46.27 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB131) | (~v124(constB131)))),
% 73.44/46.27 inference(quant_inst,[status(thm)],[])).
% 73.44/46.27 tff(19267,plain,
% 73.44/46.27 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB131) | (~v124(constB131))),
% 73.44/46.27 inference(modus_ponens,[status(thm)],[19266, 19265])).
% 73.44/46.27 tff(19268,plain,
% 73.44/46.27 (v114(constB131)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19267, 1718, 19264])).
% 73.44/46.27 tff(19269,plain,
% 73.44/46.27 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB131) | (~v114(constB131)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB131) | (~v114(constB131)))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19270,plain,
% 73.44/46.27 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB131) | (~v114(constB131)))),
% 73.44/46.27 inference(quant_inst,[status(thm)],[])).
% 73.44/46.27 tff(19271,plain,
% 73.44/46.27 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB131) | (~v114(constB131))),
% 73.44/46.27 inference(modus_ponens,[status(thm)],[19270, 19269])).
% 73.44/46.27 tff(19272,plain,
% 73.44/46.27 (v113(constB131)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19271, 287, 19268])).
% 73.44/46.27 tff(19273,assumption,(v26(constB131)), introduced(assumption)).
% 73.44/46.27 tff(19274,plain,
% 73.44/46.27 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB131))),
% 73.44/46.27 inference(quant_inst,[status(thm)],[])).
% 73.44/46.27 tff(19275,plain,
% 73.44/46.27 ($false),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19274, 37, 19273])).
% 73.44/46.27 tff(19276,plain,(~v26(constB131)), inference(lemma,lemma(discharge,[]))).
% 73.44/46.27 tff(19277,plain,
% 73.44/46.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | v112(constB131) | (~v113(constB131)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | v112(constB131) | (~v113(constB131)))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19278,plain,
% 73.44/46.27 ((v26(constB131) | (~v113(constB131)) | v112(constB131)) <=> (v26(constB131) | v112(constB131) | (~v113(constB131)))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19279,plain,
% 73.44/46.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | v112(constB131) | (~v113(constB131))))),
% 73.44/46.27 inference(monotonicity,[status(thm)],[19278])).
% 73.44/46.27 tff(19280,plain,
% 73.44/46.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | v112(constB131) | (~v113(constB131)))),
% 73.44/46.27 inference(transitivity,[status(thm)],[19279, 19277])).
% 73.44/46.27 tff(19281,plain,
% 73.44/46.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))),
% 73.44/46.27 inference(quant_inst,[status(thm)],[])).
% 73.44/46.27 tff(19282,plain,
% 73.44/46.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | v112(constB131) | (~v113(constB131))),
% 73.44/46.27 inference(modus_ponens,[status(thm)],[19281, 19280])).
% 73.44/46.27 tff(19283,plain,
% 73.44/46.27 (v112(constB131) | (~v113(constB131))),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19282, 301, 19276])).
% 73.44/46.27 tff(19284,plain,
% 73.44/46.27 (v112(constB131)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19283, 19272])).
% 73.44/46.27 tff(19285,plain,
% 73.44/46.27 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB131) | (~v112(constB131)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB131) | (~v112(constB131)))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19286,plain,
% 73.44/46.27 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB131) | (~v112(constB131)))),
% 73.44/46.27 inference(quant_inst,[status(thm)],[])).
% 73.44/46.27 tff(19287,plain,
% 73.44/46.27 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB131) | (~v112(constB131))),
% 73.44/46.27 inference(modus_ponens,[status(thm)],[19286, 19285])).
% 73.44/46.27 tff(19288,plain,
% 73.44/46.27 (v108(constB131)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19287, 210, 19284])).
% 73.44/46.27 tff(19289,plain,
% 73.44/46.27 (nextState(constB131, constB132) <=> nextState(constB131, constB132)),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19290,axiom,(nextState(constB131, constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_131_1')).
% 73.44/46.27 tff(19291,plain,
% 73.44/46.27 (nextState(constB131, constB132)),
% 73.44/46.27 inference(modus_ponens,[status(thm)],[19290, 19289])).
% 73.44/46.27 tff(19292,plain,
% 73.44/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19293,plain,
% 73.44/46.27 (((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132)) <=> ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19294,plain,
% 73.44/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131))))),
% 73.44/46.27 inference(monotonicity,[status(thm)],[19293])).
% 73.44/46.27 tff(19295,plain,
% 73.44/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 73.44/46.27 inference(transitivity,[status(thm)],[19294, 19292])).
% 73.44/46.27 tff(19296,plain,
% 73.44/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))),
% 73.44/46.27 inference(quant_inst,[status(thm)],[])).
% 73.44/46.27 tff(19297,plain,
% 73.44/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131))),
% 73.44/46.27 inference(modus_ponens,[status(thm)],[19296, 19295])).
% 73.44/46.27 tff(19298,plain,
% 73.44/46.27 (v110(constB132) | (~v108(constB131))),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19297, 317, 19291])).
% 73.44/46.27 tff(19299,plain,
% 73.44/46.27 (v110(constB132)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19298, 19288])).
% 73.44/46.27 tff(19300,plain,
% 73.44/46.27 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19301,plain,
% 73.44/46.27 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))),
% 73.44/46.27 inference(quant_inst,[status(thm)],[])).
% 73.44/46.27 tff(19302,plain,
% 73.44/46.27 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132))),
% 73.44/46.27 inference(modus_ponens,[status(thm)],[19301, 19300])).
% 73.44/46.27 tff(19303,plain,
% 73.44/46.27 (~v104(constB132)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19302, 335, 19291, 19171])).
% 73.44/46.27 tff(19304,plain,
% 73.44/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19305,plain,
% 73.44/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))),
% 73.44/46.27 inference(quant_inst,[status(thm)],[])).
% 73.44/46.27 tff(19306,plain,
% 73.44/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v102(constB132) | v104(constB132)),
% 73.44/46.27 inference(modus_ponens,[status(thm)],[19305, 19304])).
% 73.44/46.27 tff(19307,plain,
% 73.44/46.27 (v102(constB132) | v104(constB132)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19306, 349, 19291])).
% 73.44/46.27 tff(19308,plain,
% 73.44/46.27 (v102(constB132)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19307, 19303])).
% 73.44/46.27 tff(19309,plain,
% 73.44/46.27 (v1(constB132) <=> v1(constB132)),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19310,axiom,(v1(constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_132_1')).
% 73.44/46.27 tff(19311,plain,
% 73.44/46.27 (v1(constB132)),
% 73.44/46.27 inference(modus_ponens,[status(thm)],[19310, 19309])).
% 73.44/46.27 tff(19312,plain,
% 73.44/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19313,plain,
% 73.44/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))),
% 73.44/46.27 inference(quant_inst,[status(thm)],[])).
% 73.44/46.27 tff(19314,plain,
% 73.44/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132))),
% 73.44/46.27 inference(modus_ponens,[status(thm)],[19313, 19312])).
% 73.44/46.27 tff(19315,plain,
% 73.44/46.27 (v101(constB132) | (~v102(constB132))),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19314, 367, 19291, 19311])).
% 73.44/46.27 tff(19316,plain,
% 73.44/46.27 (v101(constB132)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19315, 19308])).
% 73.44/46.27 tff(19317,plain,
% 73.44/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19318,plain,
% 73.44/46.27 (((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132)) <=> ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19319,plain,
% 73.44/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132))))),
% 73.44/46.27 inference(monotonicity,[status(thm)],[19318])).
% 73.44/46.27 tff(19320,plain,
% 73.44/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 73.44/46.27 inference(transitivity,[status(thm)],[19319, 19317])).
% 73.44/46.27 tff(19321,plain,
% 73.44/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))),
% 73.44/46.27 inference(quant_inst,[status(thm)],[])).
% 73.44/46.27 tff(19322,plain,
% 73.44/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132))),
% 73.44/46.27 inference(modus_ponens,[status(thm)],[19321, 19320])).
% 73.44/46.27 tff(19323,plain,
% 73.44/46.27 (v100(constB132) | (~v101(constB132)) | (~v110(constB132))),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19322, 382, 19291])).
% 73.44/46.27 tff(19324,plain,
% 73.44/46.27 (v100(constB132) | (~v110(constB132))),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19323, 19316])).
% 73.44/46.27 tff(19325,plain,
% 73.44/46.27 (v100(constB132)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19324, 19299])).
% 73.44/46.27 tff(19326,plain,
% 73.44/46.27 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB131)) | v130(constB131, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB131)) | v130(constB131, bitIndex2))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19327,plain,
% 73.44/46.27 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB131)) | v130(constB131, bitIndex2))),
% 73.44/46.27 inference(quant_inst,[status(thm)],[])).
% 73.44/46.27 tff(19328,plain,
% 73.44/46.27 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB131)) | v130(constB131, bitIndex2)),
% 73.44/46.27 inference(modus_ponens,[status(thm)],[19327, 19326])).
% 73.44/46.27 tff(19329,plain,
% 73.44/46.27 (v130(constB131, bitIndex2)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19328, 1786, 19264])).
% 73.44/46.27 tff(19330,plain,
% 73.44/46.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19331,plain,
% 73.44/46.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2))),
% 73.44/46.27 inference(quant_inst,[status(thm)],[])).
% 73.44/46.27 tff(19332,plain,
% 73.44/46.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2)),
% 73.44/46.27 inference(modus_ponens,[status(thm)],[19331, 19330])).
% 73.44/46.27 tff(19333,plain,
% 73.44/46.27 ((~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19332, 1304, 19276])).
% 73.44/46.27 tff(19334,plain,
% 73.44/46.27 (v127(constB131, bitIndex2)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19333, 19329])).
% 73.44/46.27 tff(19335,plain,
% 73.44/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19336,plain,
% 73.44/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2))),
% 73.44/46.27 inference(quant_inst,[status(thm)],[])).
% 73.44/46.27 tff(19337,plain,
% 73.44/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2)),
% 73.44/46.27 inference(modus_ponens,[status(thm)],[19336, 19335])).
% 73.44/46.27 tff(19338,plain,
% 73.44/46.27 ((~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19337, 1319, 19291])).
% 73.44/46.27 tff(19339,plain,
% 73.44/46.27 (v129(constB132, bitIndex2)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19338, 19334])).
% 73.44/46.27 tff(19340,plain,
% 73.44/46.27 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19341,plain,
% 73.44/46.27 ((v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2))) <=> (v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19342,plain,
% 73.44/46.27 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132))))),
% 73.44/46.27 inference(monotonicity,[status(thm)],[19341])).
% 73.44/46.27 tff(19343,plain,
% 73.44/46.27 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))),
% 73.44/46.27 inference(transitivity,[status(thm)],[19342, 19340])).
% 73.44/46.27 tff(19344,plain,
% 73.44/46.27 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2)))),
% 73.44/46.27 inference(quant_inst,[status(thm)],[])).
% 73.44/46.27 tff(19345,plain,
% 73.44/46.27 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132))),
% 73.44/46.27 inference(modus_ponens,[status(thm)],[19344, 19343])).
% 73.44/46.27 tff(19346,plain,
% 73.44/46.27 (v90(constB132, bitIndex2) | (~v100(constB132))),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19345, 1334, 19339])).
% 73.44/46.27 tff(19347,plain,
% 73.44/46.27 (v90(constB132, bitIndex2)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19346, 19325])).
% 73.44/46.27 tff(19348,plain,
% 73.44/46.27 ((~v1(constB133)) <=> (~v1(constB133))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19349,axiom,(~v1(constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_133_1_1')).
% 73.44/46.27 tff(19350,plain,
% 73.44/46.27 (~v1(constB133)),
% 73.44/46.27 inference(modus_ponens,[status(thm)],[19349, 19348])).
% 73.44/46.27 tff(19351,plain,
% 73.44/46.27 (nextState(constB132, constB133) <=> nextState(constB132, constB133)),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19352,axiom,(nextState(constB132, constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_132_1')).
% 73.44/46.27 tff(19353,plain,
% 73.44/46.27 (nextState(constB132, constB133)),
% 73.44/46.27 inference(modus_ponens,[status(thm)],[19352, 19351])).
% 73.44/46.27 tff(19354,plain,
% 73.44/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19355,plain,
% 73.44/46.27 (((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133)) <=> (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19356,plain,
% 73.44/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133))))),
% 73.44/46.27 inference(monotonicity,[status(thm)],[19355])).
% 73.44/46.27 tff(19357,plain,
% 73.44/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 73.44/46.27 inference(transitivity,[status(thm)],[19356, 19354])).
% 73.44/46.27 tff(19358,plain,
% 73.44/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))),
% 73.44/46.27 inference(quant_inst,[status(thm)],[])).
% 73.44/46.27 tff(19359,plain,
% 73.44/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133))),
% 73.44/46.27 inference(modus_ponens,[status(thm)],[19358, 19357])).
% 73.44/46.27 tff(19360,plain,
% 73.44/46.27 (~v101(constB133)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19359, 56, 19353, 19350])).
% 73.44/46.27 tff(19361,plain,
% 73.44/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))),
% 73.44/46.27 inference(rewrite,[status(thm)],[])).
% 73.44/46.27 tff(19362,plain,
% 73.44/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))),
% 73.44/46.27 inference(quant_inst,[status(thm)],[])).
% 73.44/46.27 tff(19363,plain,
% 73.44/46.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133))),
% 73.44/46.27 inference(modus_ponens,[status(thm)],[19362, 19361])).
% 73.44/46.27 tff(19364,plain,
% 73.44/46.27 (v101(constB133) | (~v100(constB133))),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19363, 73, 19353])).
% 73.44/46.27 tff(19365,plain,
% 73.44/46.27 (~v100(constB133)),
% 73.44/46.27 inference(unit_resolution,[status(thm)],[19364, 19360])).
% 73.44/46.27 tff(19366,plain,
% 73.44/46.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19367,plain,
% 73.44/46.28 (((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2)) <=> ((~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19368,plain,
% 73.44/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2)))),
% 73.44/46.28 inference(monotonicity,[status(thm)],[19367])).
% 73.44/46.28 tff(19369,plain,
% 73.44/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))),
% 73.44/46.28 inference(transitivity,[status(thm)],[19368, 19366])).
% 73.44/46.28 tff(19370,plain,
% 73.44/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2))),
% 73.44/46.28 inference(quant_inst,[status(thm)],[])).
% 73.44/46.28 tff(19371,plain,
% 73.44/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2)),
% 73.44/46.28 inference(modus_ponens,[status(thm)],[19370, 19369])).
% 73.44/46.28 tff(19372,plain,
% 73.44/46.28 ((~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19371, 1370, 19353])).
% 73.44/46.28 tff(19373,plain,
% 73.44/46.28 ((~v90(constB132, bitIndex2)) | v90(constB133, bitIndex2)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19372, 19365])).
% 73.44/46.28 tff(19374,plain,
% 73.44/46.28 (v90(constB133, bitIndex2)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19373, 19347])).
% 73.44/46.28 tff(19375,plain,
% 73.44/46.28 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB131)) | v130(constB131, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB131)) | v130(constB131, bitIndex1))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19376,plain,
% 73.44/46.28 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB131)) | v130(constB131, bitIndex1))),
% 73.44/46.28 inference(quant_inst,[status(thm)],[])).
% 73.44/46.28 tff(19377,plain,
% 73.44/46.28 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB131)) | v130(constB131, bitIndex1)),
% 73.44/46.28 inference(modus_ponens,[status(thm)],[19376, 19375])).
% 73.44/46.28 tff(19378,plain,
% 73.44/46.28 (v130(constB131, bitIndex1)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19377, 1867, 19264])).
% 73.44/46.28 tff(19379,plain,
% 73.44/46.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB131) | (~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB131) | (~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19380,plain,
% 73.44/46.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB131) | (~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1))),
% 73.44/46.28 inference(quant_inst,[status(thm)],[])).
% 73.44/46.28 tff(19381,plain,
% 73.44/46.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB131) | (~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1)),
% 73.44/46.28 inference(modus_ponens,[status(thm)],[19380, 19379])).
% 73.44/46.28 tff(19382,plain,
% 73.44/46.28 ((~v130(constB131, bitIndex1)) | v127(constB131, bitIndex1)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19381, 824, 19276])).
% 73.44/46.28 tff(19383,plain,
% 73.44/46.28 (v127(constB131, bitIndex1)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19382, 19378])).
% 73.44/46.28 tff(19384,plain,
% 73.44/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19385,plain,
% 73.44/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1))),
% 73.44/46.28 inference(quant_inst,[status(thm)],[])).
% 73.44/46.28 tff(19386,plain,
% 73.44/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1)),
% 73.44/46.28 inference(modus_ponens,[status(thm)],[19385, 19384])).
% 73.44/46.28 tff(19387,plain,
% 73.44/46.28 ((~v127(constB131, bitIndex1)) | v129(constB132, bitIndex1)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19386, 839, 19291])).
% 73.44/46.28 tff(19388,plain,
% 73.44/46.28 (v129(constB132, bitIndex1)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19387, 19383])).
% 73.44/46.28 tff(19389,plain,
% 73.44/46.28 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132)))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19390,plain,
% 73.44/46.28 ((v90(constB132, bitIndex1) | (~v100(constB132)) | (~v129(constB132, bitIndex1))) <=> (v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132)))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19391,plain,
% 73.44/46.28 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~v100(constB132)) | (~v129(constB132, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132))))),
% 73.44/46.28 inference(monotonicity,[status(thm)],[19390])).
% 73.44/46.28 tff(19392,plain,
% 73.44/46.28 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~v100(constB132)) | (~v129(constB132, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132)))),
% 73.44/46.28 inference(transitivity,[status(thm)],[19391, 19389])).
% 73.44/46.28 tff(19393,plain,
% 73.44/46.28 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB132, bitIndex1) | (~v100(constB132)) | (~v129(constB132, bitIndex1)))),
% 73.44/46.28 inference(quant_inst,[status(thm)],[])).
% 73.44/46.28 tff(19394,plain,
% 73.44/46.28 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1)) | (~v100(constB132))),
% 73.44/46.28 inference(modus_ponens,[status(thm)],[19393, 19392])).
% 73.44/46.28 tff(19395,plain,
% 73.44/46.28 (v90(constB132, bitIndex1) | (~v100(constB132))),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19394, 854, 19388])).
% 73.44/46.28 tff(19396,plain,
% 73.44/46.28 (v90(constB132, bitIndex1)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19395, 19325])).
% 73.44/46.28 tff(19397,plain,
% 73.44/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19398,plain,
% 73.44/46.28 (((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1)) <=> ((~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19399,plain,
% 73.44/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1)))),
% 73.44/46.28 inference(monotonicity,[status(thm)],[19398])).
% 73.44/46.28 tff(19400,plain,
% 73.44/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1))),
% 73.44/46.28 inference(transitivity,[status(thm)],[19399, 19397])).
% 73.44/46.28 tff(19401,plain,
% 73.44/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1))),
% 73.44/46.28 inference(quant_inst,[status(thm)],[])).
% 73.44/46.28 tff(19402,plain,
% 73.44/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex1)),
% 73.44/46.28 inference(modus_ponens,[status(thm)],[19401, 19400])).
% 73.44/46.28 tff(19403,plain,
% 73.44/46.28 ((~v90(constB132, bitIndex1)) | v100(constB133) | v90(constB133, bitIndex1)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19402, 872, 19353])).
% 73.44/46.28 tff(19404,plain,
% 73.44/46.28 ((~v90(constB132, bitIndex1)) | v90(constB133, bitIndex1)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19403, 19365])).
% 73.44/46.28 tff(19405,plain,
% 73.44/46.28 (v90(constB133, bitIndex1)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19404, 19396])).
% 73.44/46.28 tff(19406,plain,
% 73.44/46.28 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB131)) | (~v130(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB131)) | (~v130(constB131, bitIndex0)))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19407,plain,
% 73.44/46.28 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB131)) | (~v130(constB131, bitIndex0)))),
% 73.44/46.28 inference(quant_inst,[status(thm)],[])).
% 73.44/46.28 tff(19408,plain,
% 73.44/46.28 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB131)) | (~v130(constB131, bitIndex0))),
% 73.44/46.28 inference(modus_ponens,[status(thm)],[19407, 19406])).
% 73.44/46.28 tff(19409,plain,
% 73.44/46.28 (~v130(constB131, bitIndex0)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19408, 1992, 19264])).
% 73.44/46.28 tff(19410,plain,
% 73.44/46.28 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19411,plain,
% 73.44/46.28 ((v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0))) <=> ((~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19412,plain,
% 73.44/46.28 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0)))),
% 73.44/46.28 inference(monotonicity,[status(thm)],[19411])).
% 73.44/46.28 tff(19413,plain,
% 73.44/46.28 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))),
% 73.44/46.28 inference(transitivity,[status(thm)],[19412, 19410])).
% 73.44/46.28 tff(19414,plain,
% 73.44/46.28 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0)))),
% 73.44/46.28 inference(quant_inst,[status(thm)],[])).
% 73.44/46.28 tff(19415,plain,
% 73.44/46.28 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0)),
% 73.44/46.28 inference(modus_ponens,[status(thm)],[19414, 19413])).
% 73.44/46.28 tff(19416,plain,
% 73.44/46.28 ((~v127(constB131, bitIndex0)) | v130(constB131, bitIndex0)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19415, 905, 19276])).
% 73.44/46.28 tff(19417,plain,
% 73.44/46.28 (~v127(constB131, bitIndex0)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19416, 19409])).
% 73.44/46.28 tff(19418,plain,
% 73.44/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0)))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19419,plain,
% 73.44/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0)))),
% 73.44/46.28 inference(quant_inst,[status(thm)],[])).
% 73.44/46.28 tff(19420,plain,
% 73.44/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0))),
% 73.44/46.28 inference(modus_ponens,[status(thm)],[19419, 19418])).
% 73.44/46.28 tff(19421,plain,
% 73.44/46.28 (v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0))),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19420, 923, 19291])).
% 73.44/46.28 tff(19422,plain,
% 73.44/46.28 (~v129(constB132, bitIndex0)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19421, 19417])).
% 73.44/46.28 tff(19423,plain,
% 73.44/46.28 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19424,plain,
% 73.44/46.28 (((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0)) <=> ((~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19425,plain,
% 73.44/46.28 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132))))),
% 73.44/46.28 inference(monotonicity,[status(thm)],[19424])).
% 73.44/46.28 tff(19426,plain,
% 73.44/46.28 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))),
% 73.44/46.28 inference(transitivity,[status(thm)],[19425, 19423])).
% 73.44/46.28 tff(19427,plain,
% 73.44/46.28 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0))),
% 73.44/46.28 inference(quant_inst,[status(thm)],[])).
% 73.44/46.28 tff(19428,plain,
% 73.44/46.28 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132))),
% 73.44/46.28 inference(modus_ponens,[status(thm)],[19427, 19426])).
% 73.44/46.28 tff(19429,plain,
% 73.44/46.28 ((~v90(constB132, bitIndex0)) | (~v100(constB132))),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19428, 938, 19422])).
% 73.44/46.28 tff(19430,plain,
% 73.44/46.28 (~v90(constB132, bitIndex0)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19429, 19325])).
% 73.44/46.28 tff(19431,plain,
% 73.44/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19432,plain,
% 73.44/46.28 (((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0))) <=> (v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19433,plain,
% 73.44/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0))))),
% 73.44/46.28 inference(monotonicity,[status(thm)],[19432])).
% 73.44/46.28 tff(19434,plain,
% 73.44/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 73.44/46.28 inference(transitivity,[status(thm)],[19433, 19431])).
% 73.44/46.28 tff(19435,plain,
% 73.44/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 73.44/46.28 inference(quant_inst,[status(thm)],[])).
% 73.44/46.28 tff(19436,plain,
% 73.44/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0))),
% 73.44/46.28 inference(modus_ponens,[status(thm)],[19435, 19434])).
% 73.44/46.28 tff(19437,plain,
% 73.44/46.28 (v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0))),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19436, 130, 19353])).
% 73.44/46.28 tff(19438,plain,
% 73.44/46.28 (v90(constB132, bitIndex0) | (~v90(constB133, bitIndex0))),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19437, 19365])).
% 73.44/46.28 tff(19439,plain,
% 73.44/46.28 (~v90(constB133, bitIndex0)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19438, 19430])).
% 73.44/46.28 tff(19440,plain,
% 73.44/46.28 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)) | v125(constB133))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)) | v125(constB133))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19441,plain,
% 73.44/46.28 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)) | v125(constB133))),
% 73.44/46.28 inference(quant_inst,[status(thm)],[])).
% 73.44/46.28 tff(19442,plain,
% 73.44/46.28 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)) | v125(constB133)),
% 73.44/46.28 inference(modus_ponens,[status(thm)],[19441, 19440])).
% 73.44/46.28 tff(19443,plain,
% 73.44/46.28 (v125(constB133)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19442, 2036, 19439, 19405, 19374])).
% 73.44/46.28 tff(19444,plain,
% 73.44/46.28 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB133) | (~v125(constB133)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB133) | (~v125(constB133)))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19445,plain,
% 73.44/46.28 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB133) | (~v125(constB133)))),
% 73.44/46.28 inference(quant_inst,[status(thm)],[])).
% 73.44/46.28 tff(19446,plain,
% 73.44/46.28 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB133) | (~v125(constB133))),
% 73.44/46.28 inference(modus_ponens,[status(thm)],[19445, 19444])).
% 73.44/46.28 tff(19447,plain,
% 73.44/46.28 (v113(constB133)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19446, 2047, 19443])).
% 73.44/46.28 tff(19448,assumption,(v26(constB133)), introduced(assumption)).
% 73.44/46.28 tff(19449,plain,
% 73.44/46.28 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB133))),
% 73.44/46.28 inference(quant_inst,[status(thm)],[])).
% 73.44/46.28 tff(19450,plain,
% 73.44/46.28 ($false),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19449, 37, 19448])).
% 73.44/46.28 tff(19451,plain,(~v26(constB133)), inference(lemma,lemma(discharge,[]))).
% 73.44/46.28 tff(19452,plain,
% 73.44/46.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | v112(constB133) | (~v113(constB133)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | v112(constB133) | (~v113(constB133)))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19453,plain,
% 73.44/46.28 ((v26(constB133) | (~v113(constB133)) | v112(constB133)) <=> (v26(constB133) | v112(constB133) | (~v113(constB133)))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19454,plain,
% 73.44/46.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | v112(constB133) | (~v113(constB133))))),
% 73.44/46.28 inference(monotonicity,[status(thm)],[19453])).
% 73.44/46.28 tff(19455,plain,
% 73.44/46.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | v112(constB133) | (~v113(constB133)))),
% 73.44/46.28 inference(transitivity,[status(thm)],[19454, 19452])).
% 73.44/46.28 tff(19456,plain,
% 73.44/46.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))),
% 73.44/46.28 inference(quant_inst,[status(thm)],[])).
% 73.44/46.28 tff(19457,plain,
% 73.44/46.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | v112(constB133) | (~v113(constB133))),
% 73.44/46.28 inference(modus_ponens,[status(thm)],[19456, 19455])).
% 73.44/46.28 tff(19458,plain,
% 73.44/46.28 (v112(constB133) | (~v113(constB133))),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19457, 301, 19451])).
% 73.44/46.28 tff(19459,plain,
% 73.44/46.28 (v112(constB133)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19458, 19447])).
% 73.44/46.28 tff(19460,plain,
% 73.44/46.28 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB133) | (~v112(constB133)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB133) | (~v112(constB133)))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19461,plain,
% 73.44/46.28 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB133) | (~v112(constB133)))),
% 73.44/46.28 inference(quant_inst,[status(thm)],[])).
% 73.44/46.28 tff(19462,plain,
% 73.44/46.28 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB133) | (~v112(constB133))),
% 73.44/46.28 inference(modus_ponens,[status(thm)],[19461, 19460])).
% 73.44/46.28 tff(19463,plain,
% 73.44/46.28 (v108(constB133)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19462, 210, 19459])).
% 73.44/46.28 tff(19464,plain,
% 73.44/46.28 (nextState(constB133, constB134) <=> nextState(constB133, constB134)),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19465,axiom,(nextState(constB133, constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_133_1')).
% 73.44/46.28 tff(19466,plain,
% 73.44/46.28 (nextState(constB133, constB134)),
% 73.44/46.28 inference(modus_ponens,[status(thm)],[19465, 19464])).
% 73.44/46.28 tff(19467,plain,
% 73.44/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19468,plain,
% 73.44/46.28 (((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134)) <=> ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19469,plain,
% 73.44/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133))))),
% 73.44/46.28 inference(monotonicity,[status(thm)],[19468])).
% 73.44/46.28 tff(19470,plain,
% 73.44/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 73.44/46.28 inference(transitivity,[status(thm)],[19469, 19467])).
% 73.44/46.28 tff(19471,plain,
% 73.44/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))),
% 73.44/46.28 inference(quant_inst,[status(thm)],[])).
% 73.44/46.28 tff(19472,plain,
% 73.44/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133))),
% 73.44/46.28 inference(modus_ponens,[status(thm)],[19471, 19470])).
% 73.44/46.28 tff(19473,plain,
% 73.44/46.28 (v110(constB134) | (~v108(constB133))),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19472, 317, 19466])).
% 73.44/46.28 tff(19474,plain,
% 73.44/46.28 (v110(constB134)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19473, 19463])).
% 73.44/46.28 tff(19475,plain,
% 73.44/46.28 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19476,plain,
% 73.44/46.28 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))),
% 73.44/46.28 inference(quant_inst,[status(thm)],[])).
% 73.44/46.28 tff(19477,plain,
% 73.44/46.28 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134))),
% 73.44/46.28 inference(modus_ponens,[status(thm)],[19476, 19475])).
% 73.44/46.28 tff(19478,plain,
% 73.44/46.28 (~v104(constB134)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19477, 335, 19466, 19350])).
% 73.44/46.28 tff(19479,plain,
% 73.44/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19480,plain,
% 73.44/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))),
% 73.44/46.28 inference(quant_inst,[status(thm)],[])).
% 73.44/46.28 tff(19481,plain,
% 73.44/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v102(constB134) | v104(constB134)),
% 73.44/46.28 inference(modus_ponens,[status(thm)],[19480, 19479])).
% 73.44/46.28 tff(19482,plain,
% 73.44/46.28 (v102(constB134) | v104(constB134)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19481, 349, 19466])).
% 73.44/46.28 tff(19483,plain,
% 73.44/46.28 (v102(constB134)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19482, 19478])).
% 73.44/46.28 tff(19484,plain,
% 73.44/46.28 (v1(constB134) <=> v1(constB134)),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19485,axiom,(v1(constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_134_1')).
% 73.44/46.28 tff(19486,plain,
% 73.44/46.28 (v1(constB134)),
% 73.44/46.28 inference(modus_ponens,[status(thm)],[19485, 19484])).
% 73.44/46.28 tff(19487,plain,
% 73.44/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19488,plain,
% 73.44/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))),
% 73.44/46.28 inference(quant_inst,[status(thm)],[])).
% 73.44/46.28 tff(19489,plain,
% 73.44/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134))),
% 73.44/46.28 inference(modus_ponens,[status(thm)],[19488, 19487])).
% 73.44/46.28 tff(19490,plain,
% 73.44/46.28 (v101(constB134) | (~v102(constB134))),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19489, 367, 19466, 19486])).
% 73.44/46.28 tff(19491,plain,
% 73.44/46.28 (v101(constB134)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19490, 19483])).
% 73.44/46.28 tff(19492,plain,
% 73.44/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19493,plain,
% 73.44/46.28 (((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134)) <=> ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 73.44/46.28 inference(rewrite,[status(thm)],[])).
% 73.44/46.28 tff(19494,plain,
% 73.44/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134))))),
% 73.44/46.28 inference(monotonicity,[status(thm)],[19493])).
% 73.44/46.28 tff(19495,plain,
% 73.44/46.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 73.44/46.28 inference(transitivity,[status(thm)],[19494, 19492])).
% 73.44/46.28 tff(19496,plain,
% 73.44/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))),
% 73.44/46.28 inference(quant_inst,[status(thm)],[])).
% 73.44/46.28 tff(19497,plain,
% 73.44/46.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134))),
% 73.44/46.28 inference(modus_ponens,[status(thm)],[19496, 19495])).
% 73.44/46.28 tff(19498,plain,
% 73.44/46.28 (v100(constB134) | (~v101(constB134)) | (~v110(constB134))),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19497, 382, 19466])).
% 73.44/46.28 tff(19499,plain,
% 73.44/46.28 (v100(constB134) | (~v110(constB134))),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19498, 19491])).
% 73.44/46.28 tff(19500,plain,
% 73.44/46.28 (v100(constB134)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19499, 19474])).
% 73.44/46.28 tff(19501,assumption,(v124(constB131)), introduced(assumption)).
% 73.44/46.28 tff(19502,plain,
% 73.44/46.28 (v114(constB131)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19267, 1718, 19501])).
% 73.44/46.28 tff(19503,plain,
% 73.44/46.28 (v113(constB131)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19271, 287, 19502])).
% 73.44/46.28 tff(19504,plain,
% 73.44/46.28 (v112(constB131)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19283, 19503])).
% 73.44/46.28 tff(19505,plain,
% 73.44/46.28 (v108(constB131)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19287, 210, 19504])).
% 73.44/46.28 tff(19506,plain,
% 73.44/46.28 (v110(constB132)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19298, 19505])).
% 73.44/46.28 tff(19507,plain,
% 73.44/46.28 (v100(constB132)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19324, 19506])).
% 73.44/46.28 tff(19508,plain,
% 73.44/46.28 (v130(constB131, bitIndex1)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19377, 1867, 19501])).
% 73.44/46.28 tff(19509,plain,
% 73.44/46.28 (v127(constB131, bitIndex1)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19382, 19508])).
% 73.44/46.28 tff(19510,plain,
% 73.44/46.28 (v129(constB132, bitIndex1)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19387, 19509])).
% 73.44/46.28 tff(19511,plain,
% 73.44/46.28 (v90(constB132, bitIndex1) | (~v100(constB132))),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19394, 854, 19510])).
% 73.44/46.28 tff(19512,plain,
% 73.44/46.28 (v90(constB132, bitIndex1)),
% 73.44/46.28 inference(unit_resolution,[status(thm)],[19511, 19507])).
% 73.44/46.28 tff(19513,plain,
% 73.44/46.29 (v90(constB133, bitIndex1)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19404, 19512])).
% 73.44/46.29 tff(19514,plain,
% 73.44/46.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB133, bitIndex1)) | (~v124(constB133)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB133, bitIndex1)) | (~v124(constB133)))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19515,plain,
% 73.44/46.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB133, bitIndex1)) | (~v124(constB133)))),
% 73.44/46.29 inference(quant_inst,[status(thm)],[])).
% 73.44/46.29 tff(19516,plain,
% 73.44/46.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB133, bitIndex1)) | (~v124(constB133))),
% 73.44/46.29 inference(modus_ponens,[status(thm)],[19515, 19514])).
% 73.44/46.29 tff(19517,plain,
% 73.44/46.29 (~v124(constB133)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19516, 1941, 19513])).
% 73.44/46.29 tff(19518,plain,
% 73.44/46.29 (v130(constB131, bitIndex2)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19328, 1786, 19501])).
% 73.44/46.29 tff(19519,plain,
% 73.44/46.29 (v127(constB131, bitIndex2)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19333, 19518])).
% 73.44/46.29 tff(19520,plain,
% 73.44/46.29 (v129(constB132, bitIndex2)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19338, 19519])).
% 73.44/46.29 tff(19521,plain,
% 73.44/46.29 (v90(constB132, bitIndex2) | (~v100(constB132))),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19345, 1334, 19520])).
% 73.44/46.29 tff(19522,plain,
% 73.44/46.29 (v90(constB132, bitIndex2)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19521, 19507])).
% 73.44/46.29 tff(19523,plain,
% 73.44/46.29 (v90(constB133, bitIndex2)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19373, 19522])).
% 73.44/46.29 tff(19524,plain,
% 73.44/46.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB133, bitIndex2)) | (~v122(constB133)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB133, bitIndex2)) | (~v122(constB133)))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19525,plain,
% 73.44/46.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB133, bitIndex2)) | (~v122(constB133)))),
% 73.44/46.29 inference(quant_inst,[status(thm)],[])).
% 73.44/46.29 tff(19526,plain,
% 73.44/46.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB133, bitIndex2)) | (~v122(constB133))),
% 73.44/46.29 inference(modus_ponens,[status(thm)],[19525, 19524])).
% 73.44/46.29 tff(19527,plain,
% 73.44/46.29 (~v122(constB133)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19526, 1853, 19523])).
% 73.44/46.29 tff(19528,plain,
% 73.44/46.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB133, bitIndex1)) | (~v123(constB133)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB133, bitIndex1)) | (~v123(constB133)))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19529,plain,
% 73.44/46.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB133, bitIndex1)) | (~v123(constB133)))),
% 73.44/46.29 inference(quant_inst,[status(thm)],[])).
% 73.44/46.29 tff(19530,plain,
% 73.44/46.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB133, bitIndex1)) | (~v123(constB133))),
% 73.44/46.29 inference(modus_ponens,[status(thm)],[19529, 19528])).
% 73.44/46.29 tff(19531,plain,
% 73.44/46.29 (~v123(constB133)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19530, 1930, 19513])).
% 73.44/46.29 tff(19532,plain,
% 73.44/46.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB133, bitIndex2)) | (~v121(constB133)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB133, bitIndex2)) | (~v121(constB133)))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19533,plain,
% 73.44/46.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB133, bitIndex2)) | (~v121(constB133)))),
% 73.44/46.29 inference(quant_inst,[status(thm)],[])).
% 73.44/46.29 tff(19534,plain,
% 73.44/46.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB133, bitIndex2)) | (~v121(constB133))),
% 73.44/46.29 inference(modus_ponens,[status(thm)],[19533, 19532])).
% 73.44/46.29 tff(19535,plain,
% 73.44/46.29 (~v121(constB133)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19534, 1842, 19523])).
% 73.44/46.29 tff(19536,plain,
% 73.44/46.29 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB133)) | (~v90(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB133)) | (~v90(constB133, bitIndex1)))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19537,plain,
% 73.44/46.29 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB133)) | (~v90(constB133, bitIndex1)))),
% 73.44/46.29 inference(quant_inst,[status(thm)],[])).
% 73.44/46.29 tff(19538,plain,
% 73.44/46.29 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB133)) | (~v90(constB133, bitIndex1))),
% 73.44/46.29 inference(modus_ponens,[status(thm)],[19537, 19536])).
% 73.44/46.29 tff(19539,plain,
% 73.44/46.29 (~v119(constB133)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19538, 1908, 19513])).
% 73.44/46.29 tff(19540,plain,
% 73.44/46.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB133, bitIndex1)) | (~v120(constB133)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB133, bitIndex1)) | (~v120(constB133)))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19541,plain,
% 73.44/46.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB133, bitIndex1)) | (~v120(constB133)))),
% 73.44/46.29 inference(quant_inst,[status(thm)],[])).
% 73.44/46.29 tff(19542,plain,
% 73.44/46.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB133, bitIndex1)) | (~v120(constB133))),
% 73.44/46.29 inference(modus_ponens,[status(thm)],[19541, 19540])).
% 73.44/46.29 tff(19543,plain,
% 73.44/46.29 (~v120(constB133)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19542, 1919, 19513])).
% 73.44/46.29 tff(19544,plain,
% 73.44/46.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB133, bitIndex2)) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB133, bitIndex2)) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19545,plain,
% 73.44/46.29 ((v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex2))) <=> ((~v130(constB133, bitIndex2)) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19546,plain,
% 73.44/46.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB133, bitIndex2)) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133)))),
% 73.44/46.29 inference(monotonicity,[status(thm)],[19545])).
% 73.44/46.29 tff(19547,plain,
% 73.44/46.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB133, bitIndex2)) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133))),
% 73.44/46.29 inference(transitivity,[status(thm)],[19546, 19544])).
% 73.44/46.29 tff(19548,plain,
% 73.44/46.29 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex2)))),
% 73.44/46.29 inference(quant_inst,[status(thm)],[])).
% 73.44/46.29 tff(19549,plain,
% 73.44/46.29 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB133, bitIndex2)) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133)),
% 73.44/46.29 inference(modus_ponens,[status(thm)],[19548, 19547])).
% 73.44/46.29 tff(19550,plain,
% 73.44/46.29 (~v130(constB133, bitIndex2)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19549, 1955, 19543, 19539, 19535, 19531, 19527, 19517])).
% 73.44/46.29 tff(19551,plain,
% 73.44/46.29 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19552,plain,
% 73.44/46.29 ((v26(constB133) | v130(constB133, bitIndex2) | (~v127(constB133, bitIndex2))) <=> ((~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19553,plain,
% 73.44/46.29 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB133) | v130(constB133, bitIndex2) | (~v127(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2)))),
% 73.44/46.29 inference(monotonicity,[status(thm)],[19552])).
% 73.44/46.29 tff(19554,plain,
% 73.44/46.29 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB133) | v130(constB133, bitIndex2) | (~v127(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2))),
% 73.44/46.29 inference(transitivity,[status(thm)],[19553, 19551])).
% 73.44/46.29 tff(19555,plain,
% 73.44/46.29 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB133) | v130(constB133, bitIndex2) | (~v127(constB133, bitIndex2)))),
% 73.44/46.29 inference(quant_inst,[status(thm)],[])).
% 73.44/46.29 tff(19556,plain,
% 73.44/46.29 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB133, bitIndex2)) | v26(constB133) | v130(constB133, bitIndex2)),
% 73.44/46.29 inference(modus_ponens,[status(thm)],[19555, 19554])).
% 73.44/46.29 tff(19557,plain,
% 73.44/46.29 ((~v127(constB133, bitIndex2)) | v130(constB133, bitIndex2)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19556, 470, 19451])).
% 73.44/46.29 tff(19558,plain,
% 73.44/46.29 (~v127(constB133, bitIndex2)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19557, 19550])).
% 73.44/46.29 tff(19559,plain,
% 73.44/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2)))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19560,plain,
% 73.44/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2)))),
% 73.44/46.29 inference(quant_inst,[status(thm)],[])).
% 73.44/46.29 tff(19561,plain,
% 73.44/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2))),
% 73.44/46.29 inference(modus_ponens,[status(thm)],[19560, 19559])).
% 73.44/46.29 tff(19562,plain,
% 73.44/46.29 (v127(constB133, bitIndex2) | (~v129(constB134, bitIndex2))),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19561, 488, 19466])).
% 73.44/46.29 tff(19563,plain,
% 73.44/46.29 (~v129(constB134, bitIndex2)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19562, 19558])).
% 73.44/46.29 tff(19564,assumption,(v100(constB134)), introduced(assumption)).
% 73.44/46.29 tff(19565,plain,
% 73.44/46.29 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134)))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19566,plain,
% 73.44/46.29 (((~v90(constB134, bitIndex2)) | (~v100(constB134)) | v129(constB134, bitIndex2)) <=> ((~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134)))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19567,plain,
% 73.44/46.29 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB134, bitIndex2)) | (~v100(constB134)) | v129(constB134, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134))))),
% 73.44/46.29 inference(monotonicity,[status(thm)],[19566])).
% 73.44/46.29 tff(19568,plain,
% 73.44/46.29 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB134, bitIndex2)) | (~v100(constB134)) | v129(constB134, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134)))),
% 73.44/46.29 inference(transitivity,[status(thm)],[19567, 19565])).
% 73.44/46.29 tff(19569,plain,
% 73.44/46.29 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB134, bitIndex2)) | (~v100(constB134)) | v129(constB134, bitIndex2))),
% 73.44/46.29 inference(quant_inst,[status(thm)],[])).
% 73.44/46.29 tff(19570,plain,
% 73.44/46.29 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2) | (~v100(constB134))),
% 73.44/46.29 inference(modus_ponens,[status(thm)],[19569, 19568])).
% 73.44/46.29 tff(19571,plain,
% 73.44/46.29 ((~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19570, 503, 19564])).
% 73.44/46.29 tff(19572,plain,
% 73.44/46.29 (~v90(constB134, bitIndex2)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19571, 19563])).
% 73.44/46.29 tff(19573,plain,
% 73.44/46.29 ((~v1(constB135)) <=> (~v1(constB135))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19574,axiom,(~v1(constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_135_1_1')).
% 73.44/46.29 tff(19575,plain,
% 73.44/46.29 (~v1(constB135)),
% 73.44/46.29 inference(modus_ponens,[status(thm)],[19574, 19573])).
% 73.44/46.29 tff(19576,plain,
% 73.44/46.29 (nextState(constB134, constB135) <=> nextState(constB134, constB135)),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19577,axiom,(nextState(constB134, constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_134_1')).
% 73.44/46.29 tff(19578,plain,
% 73.44/46.29 (nextState(constB134, constB135)),
% 73.44/46.29 inference(modus_ponens,[status(thm)],[19577, 19576])).
% 73.44/46.29 tff(19579,plain,
% 73.44/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19580,plain,
% 73.44/46.29 (((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135)) <=> (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19581,plain,
% 73.44/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135))))),
% 73.44/46.29 inference(monotonicity,[status(thm)],[19580])).
% 73.44/46.29 tff(19582,plain,
% 73.44/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 73.44/46.29 inference(transitivity,[status(thm)],[19581, 19579])).
% 73.44/46.29 tff(19583,plain,
% 73.44/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))),
% 73.44/46.29 inference(quant_inst,[status(thm)],[])).
% 73.44/46.29 tff(19584,plain,
% 73.44/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135))),
% 73.44/46.29 inference(modus_ponens,[status(thm)],[19583, 19582])).
% 73.44/46.29 tff(19585,plain,
% 73.44/46.29 (~v101(constB135)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19584, 56, 19578, 19575])).
% 73.44/46.29 tff(19586,plain,
% 73.44/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19587,plain,
% 73.44/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))),
% 73.44/46.29 inference(quant_inst,[status(thm)],[])).
% 73.44/46.29 tff(19588,plain,
% 73.44/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135))),
% 73.44/46.29 inference(modus_ponens,[status(thm)],[19587, 19586])).
% 73.44/46.29 tff(19589,plain,
% 73.44/46.29 (v101(constB135) | (~v100(constB135))),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19588, 73, 19578])).
% 73.44/46.29 tff(19590,plain,
% 73.44/46.29 (~v100(constB135)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19589, 19585])).
% 73.44/46.29 tff(19591,plain,
% 73.44/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2)))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19592,plain,
% 73.44/46.29 (((~nextState(constB134, constB135)) | v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2))) <=> (v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2)))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19593,plain,
% 73.44/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2))))),
% 73.44/46.29 inference(monotonicity,[status(thm)],[19592])).
% 73.44/46.29 tff(19594,plain,
% 73.44/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2)))),
% 73.44/46.29 inference(transitivity,[status(thm)],[19593, 19591])).
% 73.44/46.29 tff(19595,plain,
% 73.44/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2)))),
% 73.44/46.29 inference(quant_inst,[status(thm)],[])).
% 73.44/46.29 tff(19596,plain,
% 73.44/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex2))),
% 73.44/46.29 inference(modus_ponens,[status(thm)],[19595, 19594])).
% 73.44/46.29 tff(19597,plain,
% 73.44/46.29 (v90(constB134, bitIndex2) | v100(constB135) | (~v90(constB135, bitIndex2))),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19596, 88, 19578])).
% 73.44/46.29 tff(19598,plain,
% 73.44/46.29 (v90(constB134, bitIndex2) | (~v90(constB135, bitIndex2))),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19597, 19590])).
% 73.44/46.29 tff(19599,plain,
% 73.44/46.29 (~v90(constB135, bitIndex2)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19598, 19572])).
% 73.44/46.29 tff(19600,plain,
% 73.44/46.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB133, bitIndex0) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB133, bitIndex0) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19601,plain,
% 73.44/46.29 ((v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, bitIndex0)) <=> (v130(constB133, bitIndex0) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19602,plain,
% 73.44/46.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB133, bitIndex0) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133)))),
% 73.44/46.29 inference(monotonicity,[status(thm)],[19601])).
% 73.44/46.29 tff(19603,plain,
% 73.44/46.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB133, bitIndex0) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133))),
% 73.44/46.29 inference(transitivity,[status(thm)],[19602, 19600])).
% 73.44/46.29 tff(19604,plain,
% 73.44/46.29 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, bitIndex0))),
% 73.44/46.29 inference(quant_inst,[status(thm)],[])).
% 73.44/46.29 tff(19605,plain,
% 73.44/46.29 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB133, bitIndex0) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133)),
% 73.44/46.29 inference(modus_ponens,[status(thm)],[19604, 19603])).
% 73.44/46.29 tff(19606,plain,
% 73.44/46.29 (v130(constB133, bitIndex0)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19605, 2192, 19543, 19539, 19535, 19531, 19527, 19517])).
% 73.44/46.29 tff(19607,plain,
% 73.44/46.29 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB133) | (~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB133) | (~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19608,plain,
% 73.44/46.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB133) | (~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0))),
% 73.44/46.29 inference(quant_inst,[status(thm)],[])).
% 73.44/46.29 tff(19609,plain,
% 73.44/46.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB133) | (~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0)),
% 73.44/46.29 inference(modus_ponens,[status(thm)],[19608, 19607])).
% 73.44/46.29 tff(19610,plain,
% 73.44/46.29 ((~v130(constB133, bitIndex0)) | v127(constB133, bitIndex0)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19609, 179, 19451])).
% 73.44/46.29 tff(19611,plain,
% 73.44/46.29 (v127(constB133, bitIndex0)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19610, 19606])).
% 73.44/46.29 tff(19612,plain,
% 73.44/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB133, constB134)) | (~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB133, constB134)) | (~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19613,plain,
% 73.44/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB133, constB134)) | (~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0))),
% 73.44/46.29 inference(quant_inst,[status(thm)],[])).
% 73.44/46.29 tff(19614,plain,
% 73.44/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB133, constB134)) | (~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0)),
% 73.44/46.29 inference(modus_ponens,[status(thm)],[19613, 19612])).
% 73.44/46.29 tff(19615,plain,
% 73.44/46.29 ((~v127(constB133, bitIndex0)) | v129(constB134, bitIndex0)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19614, 197, 19466])).
% 73.44/46.29 tff(19616,plain,
% 73.44/46.29 (v129(constB134, bitIndex0)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19615, 19611])).
% 73.44/46.29 tff(19617,plain,
% 73.44/46.29 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134)))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19618,plain,
% 73.44/46.29 ((v90(constB134, bitIndex0) | (~v100(constB134)) | (~v129(constB134, bitIndex0))) <=> (v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134)))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19619,plain,
% 73.44/46.29 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~v100(constB134)) | (~v129(constB134, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134))))),
% 73.44/46.29 inference(monotonicity,[status(thm)],[19618])).
% 73.44/46.29 tff(19620,plain,
% 73.44/46.29 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~v100(constB134)) | (~v129(constB134, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134)))),
% 73.44/46.29 inference(transitivity,[status(thm)],[19619, 19617])).
% 73.44/46.29 tff(19621,plain,
% 73.44/46.29 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB134, bitIndex0) | (~v100(constB134)) | (~v129(constB134, bitIndex0)))),
% 73.44/46.29 inference(quant_inst,[status(thm)],[])).
% 73.44/46.29 tff(19622,plain,
% 73.44/46.29 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0)) | (~v100(constB134))),
% 73.44/46.29 inference(modus_ponens,[status(thm)],[19621, 19620])).
% 73.44/46.29 tff(19623,plain,
% 73.44/46.29 (v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0))),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19622, 401, 19564])).
% 73.44/46.29 tff(19624,plain,
% 73.44/46.29 (v90(constB134, bitIndex0)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19623, 19616])).
% 73.44/46.29 tff(19625,plain,
% 73.44/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19626,plain,
% 73.44/46.29 (((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0)) <=> ((~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19627,plain,
% 73.44/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0)))),
% 73.44/46.29 inference(monotonicity,[status(thm)],[19626])).
% 73.44/46.29 tff(19628,plain,
% 73.44/46.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0))),
% 73.44/46.29 inference(transitivity,[status(thm)],[19627, 19625])).
% 73.44/46.29 tff(19629,plain,
% 73.44/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0))),
% 73.44/46.29 inference(quant_inst,[status(thm)],[])).
% 73.44/46.29 tff(19630,plain,
% 73.44/46.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex0)),
% 73.44/46.29 inference(modus_ponens,[status(thm)],[19629, 19628])).
% 73.44/46.29 tff(19631,plain,
% 73.44/46.29 ((~v90(constB134, bitIndex0)) | v100(constB135) | v90(constB135, bitIndex0)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19630, 437, 19578])).
% 73.44/46.29 tff(19632,plain,
% 73.44/46.29 ((~v90(constB134, bitIndex0)) | v90(constB135, bitIndex0)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19631, 19590])).
% 73.44/46.29 tff(19633,plain,
% 73.44/46.29 (v90(constB135, bitIndex0)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19632, 19624])).
% 73.44/46.29 tff(19634,plain,
% 73.44/46.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB133, bitIndex1)) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB133, bitIndex1)) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19635,plain,
% 73.44/46.29 ((v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex1))) <=> ((~v130(constB133, bitIndex1)) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19636,plain,
% 73.44/46.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB133, bitIndex1)) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133)))),
% 73.44/46.29 inference(monotonicity,[status(thm)],[19635])).
% 73.44/46.29 tff(19637,plain,
% 73.44/46.29 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB133, bitIndex1)) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133))),
% 73.44/46.29 inference(transitivity,[status(thm)],[19636, 19634])).
% 73.44/46.29 tff(19638,plain,
% 73.44/46.29 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, bitIndex1)))),
% 73.44/46.29 inference(quant_inst,[status(thm)],[])).
% 73.44/46.29 tff(19639,plain,
% 73.44/46.29 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB133, bitIndex1)) | v124(constB133) | v120(constB133) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133)),
% 73.44/46.29 inference(modus_ponens,[status(thm)],[19638, 19637])).
% 73.44/46.29 tff(19640,plain,
% 73.44/46.29 (~v130(constB133, bitIndex1)),
% 73.44/46.29 inference(unit_resolution,[status(thm)],[19639, 2146, 19543, 19539, 19535, 19531, 19527, 19517])).
% 73.44/46.29 tff(19641,plain,
% 73.44/46.29 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1))),
% 73.44/46.29 inference(rewrite,[status(thm)],[])).
% 73.44/46.29 tff(19642,plain,
% 73.44/46.29 ((v26(constB133) | v130(constB133, bitIndex1) | (~v127(constB133, bitIndex1))) <=> ((~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1))),
% 73.44/46.30 inference(rewrite,[status(thm)],[])).
% 73.44/46.30 tff(19643,plain,
% 73.44/46.30 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB133) | v130(constB133, bitIndex1) | (~v127(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1)))),
% 73.44/46.30 inference(monotonicity,[status(thm)],[19642])).
% 73.44/46.30 tff(19644,plain,
% 73.44/46.30 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB133) | v130(constB133, bitIndex1) | (~v127(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1))),
% 73.44/46.30 inference(transitivity,[status(thm)],[19643, 19641])).
% 73.44/46.30 tff(19645,plain,
% 73.44/46.30 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB133) | v130(constB133, bitIndex1) | (~v127(constB133, bitIndex1)))),
% 73.44/46.30 inference(quant_inst,[status(thm)],[])).
% 73.44/46.30 tff(19646,plain,
% 73.44/46.30 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB133, bitIndex1)) | v26(constB133) | v130(constB133, bitIndex1)),
% 73.44/46.30 inference(modus_ponens,[status(thm)],[19645, 19644])).
% 73.44/46.30 tff(19647,plain,
% 73.44/46.30 ((~v127(constB133, bitIndex1)) | v130(constB133, bitIndex1)),
% 73.44/46.30 inference(unit_resolution,[status(thm)],[19646, 555, 19451])).
% 73.44/46.30 tff(19648,plain,
% 73.44/46.30 (~v127(constB133, bitIndex1)),
% 73.44/46.30 inference(unit_resolution,[status(thm)],[19647, 19640])).
% 73.44/46.30 tff(19649,plain,
% 73.44/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1)))),
% 73.44/46.30 inference(rewrite,[status(thm)],[])).
% 73.44/46.30 tff(19650,plain,
% 73.44/46.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1)))),
% 73.44/46.30 inference(quant_inst,[status(thm)],[])).
% 73.44/46.30 tff(19651,plain,
% 73.44/46.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1))),
% 73.44/46.30 inference(modus_ponens,[status(thm)],[19650, 19649])).
% 73.44/46.30 tff(19652,plain,
% 73.44/46.30 (v127(constB133, bitIndex1) | (~v129(constB134, bitIndex1))),
% 73.44/46.30 inference(unit_resolution,[status(thm)],[19651, 588, 19466])).
% 73.44/46.30 tff(19653,plain,
% 73.44/46.30 (~v129(constB134, bitIndex1)),
% 73.44/46.30 inference(unit_resolution,[status(thm)],[19652, 19648])).
% 73.44/46.30 tff(19654,plain,
% 73.44/46.30 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134)))),
% 73.44/46.30 inference(rewrite,[status(thm)],[])).
% 73.44/46.30 tff(19655,plain,
% 73.44/46.30 (((~v90(constB134, bitIndex1)) | (~v100(constB134)) | v129(constB134, bitIndex1)) <=> ((~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134)))),
% 73.44/46.30 inference(rewrite,[status(thm)],[])).
% 73.44/46.30 tff(19656,plain,
% 73.44/46.30 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | (~v100(constB134)) | v129(constB134, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134))))),
% 73.44/46.30 inference(monotonicity,[status(thm)],[19655])).
% 73.44/46.30 tff(19657,plain,
% 73.44/46.30 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | (~v100(constB134)) | v129(constB134, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134)))),
% 73.44/46.30 inference(transitivity,[status(thm)],[19656, 19654])).
% 73.44/46.30 tff(19658,plain,
% 73.44/46.30 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB134, bitIndex1)) | (~v100(constB134)) | v129(constB134, bitIndex1))),
% 73.44/46.30 inference(quant_inst,[status(thm)],[])).
% 73.44/46.30 tff(19659,plain,
% 73.44/46.30 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1) | (~v100(constB134))),
% 73.44/46.30 inference(modus_ponens,[status(thm)],[19658, 19657])).
% 73.44/46.30 tff(19660,plain,
% 73.44/46.30 ((~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1)),
% 73.44/46.30 inference(unit_resolution,[status(thm)],[19659, 603, 19564])).
% 73.44/46.30 tff(19661,plain,
% 73.44/46.30 (~v90(constB134, bitIndex1)),
% 73.44/46.30 inference(unit_resolution,[status(thm)],[19660, 19653])).
% 73.44/46.30 tff(19662,plain,
% 73.44/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1)))),
% 73.44/46.30 inference(rewrite,[status(thm)],[])).
% 73.44/46.30 tff(19663,plain,
% 73.44/46.30 (((~nextState(constB134, constB135)) | v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1))) <=> (v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1)))),
% 73.44/46.30 inference(rewrite,[status(thm)],[])).
% 73.44/46.30 tff(19664,plain,
% 73.44/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1))))),
% 73.44/46.30 inference(monotonicity,[status(thm)],[19663])).
% 73.44/46.30 tff(19665,plain,
% 73.44/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1)))),
% 73.44/46.30 inference(transitivity,[status(thm)],[19664, 19662])).
% 73.44/46.30 tff(19666,plain,
% 73.44/46.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB134, constB135)) | v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1)))),
% 73.44/46.30 inference(quant_inst,[status(thm)],[])).
% 73.44/46.30 tff(19667,plain,
% 73.44/46.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex1))),
% 73.44/46.30 inference(modus_ponens,[status(thm)],[19666, 19665])).
% 73.44/46.30 tff(19668,plain,
% 73.44/46.30 (v90(constB134, bitIndex1) | v100(constB135) | (~v90(constB135, bitIndex1))),
% 73.44/46.30 inference(unit_resolution,[status(thm)],[19667, 109, 19578])).
% 73.44/46.30 tff(19669,plain,
% 73.44/46.30 (v90(constB134, bitIndex1) | (~v90(constB135, bitIndex1))),
% 73.44/46.30 inference(unit_resolution,[status(thm)],[19668, 19590])).
% 73.44/46.30 tff(19670,plain,
% 73.44/46.30 (~v90(constB135, bitIndex1)),
% 73.44/46.30 inference(unit_resolution,[status(thm)],[19669, 19661])).
% 73.44/46.30 tff(19671,assumption,(~v120(constB135)), introduced(assumption)).
% 73.44/46.30 tff(19672,plain,
% 73.44/46.30 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135))),
% 73.44/46.30 inference(rewrite,[status(thm)],[])).
% 73.44/46.30 tff(19673,plain,
% 73.44/46.30 (((~v90(constB135, bitIndex0)) | v120(constB135) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2)) <=> ((~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135))),
% 73.44/46.30 inference(rewrite,[status(thm)],[])).
% 73.44/46.30 tff(19674,plain,
% 73.44/46.30 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex0)) | v120(constB135) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135)))),
% 73.44/46.30 inference(monotonicity,[status(thm)],[19673])).
% 73.44/46.30 tff(19675,plain,
% 73.44/46.30 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex0)) | v120(constB135) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135))),
% 73.44/46.30 inference(transitivity,[status(thm)],[19674, 19672])).
% 73.44/46.30 tff(19676,plain,
% 73.44/46.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex0)) | v120(constB135) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2))),
% 73.44/46.30 inference(quant_inst,[status(thm)],[])).
% 73.44/46.30 tff(19677,plain,
% 73.44/46.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | v120(constB135)),
% 73.44/46.30 inference(modus_ponens,[status(thm)],[19676, 19675])).
% 73.44/46.30 tff(19678,plain,
% 73.44/46.30 ((~v90(constB135, bitIndex0)) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2)),
% 73.44/46.30 inference(unit_resolution,[status(thm)],[19677, 631, 19671])).
% 73.44/46.30 tff(19679,plain,
% 73.44/46.30 ($false),
% 73.44/46.30 inference(unit_resolution,[status(thm)],[19678, 19670, 19633, 19599])).
% 73.44/46.30 tff(19680,plain,((~v124(constB131)) | v120(constB135) | (~v100(constB134))), inference(lemma,lemma(discharge,[]))).
% 73.44/46.30 tff(19681,plain,
% 73.44/46.30 (v120(constB135)),
% 73.44/46.30 inference(unit_resolution,[status(thm)],[19680, 19500, 19264])).
% 73.44/46.30 tff(19682,assumption,(v120(constB135)), introduced(assumption)).
% 73.44/46.30 tff(19683,plain,
% 73.44/46.30 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB135) | (~v120(constB135)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB135) | (~v120(constB135)))),
% 73.44/46.30 inference(rewrite,[status(thm)],[])).
% 73.44/46.30 tff(19684,plain,
% 73.44/46.30 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB135) | (~v120(constB135)))),
% 73.44/46.30 inference(quant_inst,[status(thm)],[])).
% 73.44/46.30 tff(19685,plain,
% 73.44/46.30 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB135) | (~v120(constB135))),
% 73.47/46.30 inference(modus_ponens,[status(thm)],[19684, 19683])).
% 73.47/46.30 tff(19686,plain,
% 73.47/46.30 (v118(constB135)),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19685, 646, 19682])).
% 73.47/46.30 tff(19687,plain,
% 73.47/46.30 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB135) | (~v118(constB135)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB135) | (~v118(constB135)))),
% 73.47/46.30 inference(rewrite,[status(thm)],[])).
% 73.47/46.30 tff(19688,plain,
% 73.47/46.30 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB135) | (~v118(constB135)))),
% 73.47/46.30 inference(quant_inst,[status(thm)],[])).
% 73.47/46.30 tff(19689,plain,
% 73.47/46.30 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB135) | (~v118(constB135))),
% 73.47/46.30 inference(modus_ponens,[status(thm)],[19688, 19687])).
% 73.47/46.30 tff(19690,plain,
% 73.47/46.30 (v117(constB135)),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19689, 243, 19686])).
% 73.47/46.30 tff(19691,plain,
% 73.47/46.30 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB135) | (~v117(constB135)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB135) | (~v117(constB135)))),
% 73.47/46.30 inference(rewrite,[status(thm)],[])).
% 73.47/46.30 tff(19692,plain,
% 73.47/46.30 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB135) | (~v117(constB135)))),
% 73.47/46.30 inference(quant_inst,[status(thm)],[])).
% 73.47/46.30 tff(19693,plain,
% 73.47/46.30 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB135) | (~v117(constB135))),
% 73.47/46.30 inference(modus_ponens,[status(thm)],[19692, 19691])).
% 73.47/46.30 tff(19694,plain,
% 73.47/46.30 (v116(constB135)),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19693, 254, 19690])).
% 73.47/46.30 tff(19695,plain,
% 73.47/46.30 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB135) | (~v116(constB135)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB135) | (~v116(constB135)))),
% 73.47/46.30 inference(rewrite,[status(thm)],[])).
% 73.47/46.30 tff(19696,plain,
% 73.47/46.30 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB135) | (~v116(constB135)))),
% 73.47/46.30 inference(quant_inst,[status(thm)],[])).
% 73.47/46.30 tff(19697,plain,
% 73.47/46.30 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB135) | (~v116(constB135))),
% 73.47/46.30 inference(modus_ponens,[status(thm)],[19696, 19695])).
% 73.47/46.30 tff(19698,plain,
% 73.47/46.30 (v115(constB135)),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19697, 265, 19694])).
% 73.47/46.30 tff(19699,plain,
% 73.47/46.30 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB135) | (~v115(constB135)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB135) | (~v115(constB135)))),
% 73.47/46.30 inference(rewrite,[status(thm)],[])).
% 73.47/46.30 tff(19700,plain,
% 73.47/46.30 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB135) | (~v115(constB135)))),
% 73.47/46.30 inference(quant_inst,[status(thm)],[])).
% 73.47/46.30 tff(19701,plain,
% 73.47/46.30 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB135) | (~v115(constB135))),
% 73.47/46.30 inference(modus_ponens,[status(thm)],[19700, 19699])).
% 73.47/46.30 tff(19702,plain,
% 73.47/46.30 (v114(constB135)),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19701, 276, 19698])).
% 73.47/46.30 tff(19703,plain,
% 73.47/46.30 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB135) | (~v114(constB135)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB135) | (~v114(constB135)))),
% 73.47/46.30 inference(rewrite,[status(thm)],[])).
% 73.47/46.30 tff(19704,plain,
% 73.47/46.30 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB135) | (~v114(constB135)))),
% 73.47/46.30 inference(quant_inst,[status(thm)],[])).
% 73.47/46.30 tff(19705,plain,
% 73.47/46.30 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB135) | (~v114(constB135))),
% 73.47/46.30 inference(modus_ponens,[status(thm)],[19704, 19703])).
% 73.47/46.30 tff(19706,plain,
% 73.47/46.30 (v113(constB135)),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19705, 287, 19702])).
% 73.47/46.30 tff(19707,assumption,(~v108(constB135)), introduced(assumption)).
% 73.47/46.30 tff(19708,plain,
% 73.47/46.30 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB135) | (~v112(constB135)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB135) | (~v112(constB135)))),
% 73.47/46.30 inference(rewrite,[status(thm)],[])).
% 73.47/46.30 tff(19709,plain,
% 73.47/46.30 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB135) | (~v112(constB135)))),
% 73.47/46.30 inference(quant_inst,[status(thm)],[])).
% 73.47/46.30 tff(19710,plain,
% 73.47/46.30 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB135) | (~v112(constB135))),
% 73.47/46.30 inference(modus_ponens,[status(thm)],[19709, 19708])).
% 73.47/46.30 tff(19711,plain,
% 73.47/46.30 (~v112(constB135)),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19710, 210, 19707])).
% 73.47/46.30 tff(19712,plain,
% 73.47/46.30 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB135) | (~v26(constB135)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB135) | (~v26(constB135)))),
% 73.47/46.30 inference(rewrite,[status(thm)],[])).
% 73.47/46.30 tff(19713,plain,
% 73.47/46.30 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB135) | (~v26(constB135)))),
% 73.47/46.30 inference(quant_inst,[status(thm)],[])).
% 73.47/46.30 tff(19714,plain,
% 73.47/46.30 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB135) | (~v26(constB135))),
% 73.47/46.30 inference(modus_ponens,[status(thm)],[19713, 19712])).
% 73.47/46.30 tff(19715,plain,
% 73.47/46.30 (~v26(constB135)),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19714, 221, 19707])).
% 73.47/46.30 tff(19716,assumption,(v113(constB135)), introduced(assumption)).
% 73.47/46.30 tff(19717,plain,
% 73.47/46.30 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | (~v113(constB135)) | v112(constB135))),
% 73.47/46.30 inference(rewrite,[status(thm)],[])).
% 73.47/46.30 tff(19718,plain,
% 73.47/46.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))),
% 73.47/46.30 inference(quant_inst,[status(thm)],[])).
% 73.47/46.30 tff(19719,plain,
% 73.47/46.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | (~v113(constB135)) | v112(constB135)),
% 73.47/46.30 inference(modus_ponens,[status(thm)],[19718, 19717])).
% 73.47/46.30 tff(19720,plain,
% 73.47/46.30 (v26(constB135) | v112(constB135)),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19719, 301, 19716])).
% 73.47/46.30 tff(19721,plain,
% 73.47/46.30 ($false),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19720, 19715, 19711])).
% 73.47/46.30 tff(19722,plain,(v108(constB135) | (~v113(constB135))), inference(lemma,lemma(discharge,[]))).
% 73.47/46.30 tff(19723,plain,
% 73.47/46.30 (v108(constB135)),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19722, 19706])).
% 73.47/46.30 tff(19724,plain,
% 73.47/46.30 (nextState(constB135, constB136) <=> nextState(constB135, constB136)),
% 73.47/46.30 inference(rewrite,[status(thm)],[])).
% 73.47/46.30 tff(19725,axiom,(nextState(constB135, constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_135_1')).
% 73.47/46.30 tff(19726,plain,
% 73.47/46.30 (nextState(constB135, constB136)),
% 73.47/46.30 inference(modus_ponens,[status(thm)],[19725, 19724])).
% 73.47/46.30 tff(19727,plain,
% 73.47/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 73.47/46.30 inference(rewrite,[status(thm)],[])).
% 73.47/46.30 tff(19728,plain,
% 73.47/46.30 (((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136)) <=> ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 73.47/46.30 inference(rewrite,[status(thm)],[])).
% 73.47/46.30 tff(19729,plain,
% 73.47/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135))))),
% 73.47/46.30 inference(monotonicity,[status(thm)],[19728])).
% 73.47/46.30 tff(19730,plain,
% 73.47/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 73.47/46.30 inference(transitivity,[status(thm)],[19729, 19727])).
% 73.47/46.30 tff(19731,plain,
% 73.47/46.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))),
% 73.47/46.30 inference(quant_inst,[status(thm)],[])).
% 73.47/46.30 tff(19732,plain,
% 73.47/46.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135))),
% 73.47/46.30 inference(modus_ponens,[status(thm)],[19731, 19730])).
% 73.47/46.30 tff(19733,plain,
% 73.47/46.30 (v110(constB136) | (~v108(constB135))),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19732, 317, 19726])).
% 73.47/46.30 tff(19734,plain,
% 73.47/46.30 (v110(constB136)),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19733, 19723])).
% 73.47/46.30 tff(19735,plain,
% 73.47/46.30 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))),
% 73.47/46.30 inference(rewrite,[status(thm)],[])).
% 73.47/46.30 tff(19736,plain,
% 73.47/46.30 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))),
% 73.47/46.30 inference(quant_inst,[status(thm)],[])).
% 73.47/46.30 tff(19737,plain,
% 73.47/46.30 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136))),
% 73.47/46.30 inference(modus_ponens,[status(thm)],[19736, 19735])).
% 73.47/46.30 tff(19738,plain,
% 73.47/46.30 (~v104(constB136)),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19737, 335, 19726, 19575])).
% 73.47/46.30 tff(19739,plain,
% 73.47/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))),
% 73.47/46.30 inference(rewrite,[status(thm)],[])).
% 73.47/46.30 tff(19740,plain,
% 73.47/46.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))),
% 73.47/46.30 inference(quant_inst,[status(thm)],[])).
% 73.47/46.30 tff(19741,plain,
% 73.47/46.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v102(constB136) | v104(constB136)),
% 73.47/46.30 inference(modus_ponens,[status(thm)],[19740, 19739])).
% 73.47/46.30 tff(19742,plain,
% 73.47/46.30 (v102(constB136) | v104(constB136)),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19741, 349, 19726])).
% 73.47/46.30 tff(19743,plain,
% 73.47/46.30 (v102(constB136)),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19742, 19738])).
% 73.47/46.30 tff(19744,plain,
% 73.47/46.30 (v1(constB136) <=> v1(constB136)),
% 73.47/46.30 inference(rewrite,[status(thm)],[])).
% 73.47/46.30 tff(19745,axiom,(v1(constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_136_1')).
% 73.47/46.30 tff(19746,plain,
% 73.47/46.30 (v1(constB136)),
% 73.47/46.30 inference(modus_ponens,[status(thm)],[19745, 19744])).
% 73.47/46.30 tff(19747,plain,
% 73.47/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))),
% 73.47/46.30 inference(rewrite,[status(thm)],[])).
% 73.47/46.30 tff(19748,plain,
% 73.47/46.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))),
% 73.47/46.30 inference(quant_inst,[status(thm)],[])).
% 73.47/46.30 tff(19749,plain,
% 73.47/46.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136))),
% 73.47/46.30 inference(modus_ponens,[status(thm)],[19748, 19747])).
% 73.47/46.30 tff(19750,plain,
% 73.47/46.30 (v101(constB136) | (~v102(constB136))),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19749, 367, 19726, 19746])).
% 73.47/46.30 tff(19751,plain,
% 73.47/46.30 (v101(constB136)),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19750, 19743])).
% 73.47/46.30 tff(19752,plain,
% 73.47/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 73.47/46.30 inference(rewrite,[status(thm)],[])).
% 73.47/46.30 tff(19753,plain,
% 73.47/46.30 (((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136)) <=> ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 73.47/46.30 inference(rewrite,[status(thm)],[])).
% 73.47/46.30 tff(19754,plain,
% 73.47/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136))))),
% 73.47/46.30 inference(monotonicity,[status(thm)],[19753])).
% 73.47/46.30 tff(19755,plain,
% 73.47/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 73.47/46.30 inference(transitivity,[status(thm)],[19754, 19752])).
% 73.47/46.30 tff(19756,plain,
% 73.47/46.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))),
% 73.47/46.30 inference(quant_inst,[status(thm)],[])).
% 73.47/46.30 tff(19757,plain,
% 73.47/46.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136))),
% 73.47/46.30 inference(modus_ponens,[status(thm)],[19756, 19755])).
% 73.47/46.30 tff(19758,plain,
% 73.47/46.30 (v100(constB136) | (~v101(constB136)) | (~v110(constB136))),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19757, 382, 19726])).
% 73.47/46.30 tff(19759,plain,
% 73.47/46.30 (v100(constB136) | (~v110(constB136))),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19758, 19751])).
% 73.47/46.30 tff(19760,plain,
% 73.47/46.30 (v100(constB136)),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19759, 19734])).
% 73.47/46.30 tff(19761,assumption,(v90(constB136, bitIndex0)), introduced(assumption)).
% 73.47/46.30 tff(19762,plain,
% 73.47/46.30 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136)))),
% 73.47/46.30 inference(rewrite,[status(thm)],[])).
% 73.47/46.30 tff(19763,plain,
% 73.47/46.30 (((~v90(constB136, bitIndex0)) | (~v100(constB136)) | v129(constB136, bitIndex0)) <=> ((~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136)))),
% 73.47/46.30 inference(rewrite,[status(thm)],[])).
% 73.47/46.30 tff(19764,plain,
% 73.47/46.30 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | (~v100(constB136)) | v129(constB136, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136))))),
% 73.47/46.30 inference(monotonicity,[status(thm)],[19763])).
% 73.47/46.30 tff(19765,plain,
% 73.47/46.30 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | (~v100(constB136)) | v129(constB136, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136)))),
% 73.47/46.30 inference(transitivity,[status(thm)],[19764, 19762])).
% 73.47/46.30 tff(19766,plain,
% 73.47/46.30 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB136, bitIndex0)) | (~v100(constB136)) | v129(constB136, bitIndex0))),
% 73.47/46.30 inference(quant_inst,[status(thm)],[])).
% 73.47/46.30 tff(19767,plain,
% 73.47/46.30 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0) | (~v100(constB136))),
% 73.47/46.30 inference(modus_ponens,[status(thm)],[19766, 19765])).
% 73.47/46.30 tff(19768,plain,
% 73.47/46.30 (v129(constB136, bitIndex0) | (~v100(constB136))),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19767, 938, 19761])).
% 73.47/46.30 tff(19769,plain,
% 73.47/46.30 (v129(constB136, bitIndex0)),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19768, 19760])).
% 73.47/46.30 tff(19770,plain,
% 73.47/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0)))),
% 73.47/46.30 inference(rewrite,[status(thm)],[])).
% 73.47/46.30 tff(19771,plain,
% 73.47/46.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0)))),
% 73.47/46.30 inference(quant_inst,[status(thm)],[])).
% 73.47/46.30 tff(19772,plain,
% 73.47/46.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0))),
% 73.47/46.30 inference(modus_ponens,[status(thm)],[19771, 19770])).
% 73.47/46.30 tff(19773,plain,
% 73.47/46.30 (v127(constB135, bitIndex0) | (~v129(constB136, bitIndex0))),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19772, 923, 19726])).
% 73.47/46.30 tff(19774,plain,
% 73.47/46.30 (v127(constB135, bitIndex0)),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19773, 19769])).
% 73.47/46.30 tff(19775,plain,
% 73.47/46.30 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB135)) | (~v130(constB135, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB135)) | (~v130(constB135, bitIndex0)))),
% 73.47/46.30 inference(rewrite,[status(thm)],[])).
% 73.47/46.30 tff(19776,plain,
% 73.47/46.30 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB135)) | (~v130(constB135, bitIndex0)))),
% 73.47/46.30 inference(quant_inst,[status(thm)],[])).
% 73.47/46.30 tff(19777,plain,
% 73.47/46.30 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB135)) | (~v130(constB135, bitIndex0))),
% 73.47/46.30 inference(modus_ponens,[status(thm)],[19776, 19775])).
% 73.47/46.30 tff(19778,plain,
% 73.47/46.30 (~v130(constB135, bitIndex0)),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19777, 891, 19682])).
% 73.47/46.30 tff(19779,plain,
% 73.47/46.30 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0))),
% 73.47/46.30 inference(rewrite,[status(thm)],[])).
% 73.47/46.30 tff(19780,plain,
% 73.47/46.30 ((v26(constB135) | v130(constB135, bitIndex0) | (~v127(constB135, bitIndex0))) <=> ((~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0))),
% 73.47/46.30 inference(rewrite,[status(thm)],[])).
% 73.47/46.30 tff(19781,plain,
% 73.47/46.30 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB135) | v130(constB135, bitIndex0) | (~v127(constB135, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0)))),
% 73.47/46.30 inference(monotonicity,[status(thm)],[19780])).
% 73.47/46.30 tff(19782,plain,
% 73.47/46.30 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB135) | v130(constB135, bitIndex0) | (~v127(constB135, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0))),
% 73.47/46.30 inference(transitivity,[status(thm)],[19781, 19779])).
% 73.47/46.30 tff(19783,plain,
% 73.47/46.30 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB135) | v130(constB135, bitIndex0) | (~v127(constB135, bitIndex0)))),
% 73.47/46.30 inference(quant_inst,[status(thm)],[])).
% 73.47/46.30 tff(19784,plain,
% 73.47/46.30 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB135, bitIndex0)) | v26(constB135) | v130(constB135, bitIndex0)),
% 73.47/46.30 inference(modus_ponens,[status(thm)],[19783, 19782])).
% 73.47/46.30 tff(19785,plain,
% 73.47/46.30 ((~v127(constB135, bitIndex0)) | v26(constB135)),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19784, 905, 19778])).
% 73.47/46.30 tff(19786,plain,
% 73.47/46.30 (v26(constB135)),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19785, 19774])).
% 73.47/46.30 tff(19787,plain,
% 73.47/46.30 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB135)) | (~v127(constB135, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB135)) | (~v127(constB135, bitIndex0)))),
% 73.47/46.30 inference(rewrite,[status(thm)],[])).
% 73.47/46.30 tff(19788,plain,
% 73.47/46.30 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB135)) | (~v127(constB135, bitIndex0)))),
% 73.47/46.30 inference(quant_inst,[status(thm)],[])).
% 73.47/46.30 tff(19789,plain,
% 73.47/46.30 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB135)) | (~v127(constB135, bitIndex0))),
% 73.47/46.30 inference(modus_ponens,[status(thm)],[19788, 19787])).
% 73.47/46.30 tff(19790,plain,
% 73.47/46.30 ($false),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19789, 3417, 19774, 19786])).
% 73.47/46.30 tff(19791,plain,((~v120(constB135)) | (~v90(constB136, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 73.47/46.30 tff(19792,plain,
% 73.47/46.30 (~v90(constB136, bitIndex0)),
% 73.47/46.30 inference(unit_resolution,[status(thm)],[19791, 19681])).
% 73.47/46.30 tff(19793,plain,
% 73.47/46.30 ((~v1(constB137)) <=> (~v1(constB137))),
% 73.47/46.30 inference(rewrite,[status(thm)],[])).
% 73.47/46.30 tff(19794,axiom,(~v1(constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_137_1_1')).
% 73.47/46.30 tff(19795,plain,
% 73.47/46.30 (~v1(constB137)),
% 73.47/46.30 inference(modus_ponens,[status(thm)],[19794, 19793])).
% 73.47/46.30 tff(19796,plain,
% 73.47/46.30 (nextState(constB136, constB137) <=> nextState(constB136, constB137)),
% 73.47/46.30 inference(rewrite,[status(thm)],[])).
% 73.47/46.30 tff(19797,axiom,(nextState(constB136, constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_136_1')).
% 73.47/46.30 tff(19798,plain,
% 73.47/46.30 (nextState(constB136, constB137)),
% 73.47/46.30 inference(modus_ponens,[status(thm)],[19797, 19796])).
% 73.47/46.30 tff(19799,plain,
% 73.47/46.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19800,plain,
% 73.47/46.31 (((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137)) <=> (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19801,plain,
% 73.47/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137))))),
% 73.47/46.31 inference(monotonicity,[status(thm)],[19800])).
% 73.47/46.31 tff(19802,plain,
% 73.47/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 73.47/46.31 inference(transitivity,[status(thm)],[19801, 19799])).
% 73.47/46.31 tff(19803,plain,
% 73.47/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))),
% 73.47/46.31 inference(quant_inst,[status(thm)],[])).
% 73.47/46.31 tff(19804,plain,
% 73.47/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137))),
% 73.47/46.31 inference(modus_ponens,[status(thm)],[19803, 19802])).
% 73.47/46.31 tff(19805,plain,
% 73.47/46.31 (~v101(constB137)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19804, 56, 19798, 19795])).
% 73.47/46.31 tff(19806,plain,
% 73.47/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19807,plain,
% 73.47/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))),
% 73.47/46.31 inference(quant_inst,[status(thm)],[])).
% 73.47/46.31 tff(19808,plain,
% 73.47/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137))),
% 73.47/46.31 inference(modus_ponens,[status(thm)],[19807, 19806])).
% 73.47/46.31 tff(19809,plain,
% 73.47/46.31 (v101(constB137) | (~v100(constB137))),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19808, 73, 19798])).
% 73.47/46.31 tff(19810,plain,
% 73.47/46.31 (~v100(constB137)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19809, 19805])).
% 73.47/46.31 tff(19811,plain,
% 73.47/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0)))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19812,plain,
% 73.47/46.31 (((~nextState(constB136, constB137)) | v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0))) <=> (v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0)))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19813,plain,
% 73.47/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0))))),
% 73.47/46.31 inference(monotonicity,[status(thm)],[19812])).
% 73.47/46.31 tff(19814,plain,
% 73.47/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0)))),
% 73.47/46.31 inference(transitivity,[status(thm)],[19813, 19811])).
% 73.47/46.31 tff(19815,plain,
% 73.47/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0)))),
% 73.47/46.31 inference(quant_inst,[status(thm)],[])).
% 73.47/46.31 tff(19816,plain,
% 73.47/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0))),
% 73.47/46.31 inference(modus_ponens,[status(thm)],[19815, 19814])).
% 73.47/46.31 tff(19817,plain,
% 73.47/46.31 (v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0))),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19816, 130, 19798])).
% 73.47/46.31 tff(19818,plain,
% 73.47/46.31 (v90(constB136, bitIndex0) | (~v90(constB137, bitIndex0))),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19817, 19810])).
% 73.47/46.31 tff(19819,plain,
% 73.47/46.31 (~v90(constB137, bitIndex0)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19818, 19792])).
% 73.47/46.31 tff(19820,plain,
% 73.47/46.31 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB135)) | (~v130(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB135)) | (~v130(constB135, bitIndex2)))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19821,plain,
% 73.47/46.31 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB135)) | (~v130(constB135, bitIndex2)))),
% 73.47/46.31 inference(quant_inst,[status(thm)],[])).
% 73.47/46.31 tff(19822,plain,
% 73.47/46.31 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB135)) | (~v130(constB135, bitIndex2))),
% 73.47/46.31 inference(modus_ponens,[status(thm)],[19821, 19820])).
% 73.47/46.31 tff(19823,plain,
% 73.47/46.31 (~v130(constB135, bitIndex2)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19822, 730, 19681])).
% 73.47/46.31 tff(19824,assumption,(v26(constB135)), introduced(assumption)).
% 73.47/46.31 tff(19825,plain,
% 73.47/46.31 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB135))),
% 73.47/46.31 inference(quant_inst,[status(thm)],[])).
% 73.47/46.31 tff(19826,plain,
% 73.47/46.31 ($false),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19825, 37, 19824])).
% 73.47/46.31 tff(19827,plain,(~v26(constB135)), inference(lemma,lemma(discharge,[]))).
% 73.47/46.31 tff(19828,plain,
% 73.47/46.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19829,plain,
% 73.47/46.31 ((v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2))) <=> ((~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19830,plain,
% 73.47/46.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2)))),
% 73.47/46.31 inference(monotonicity,[status(thm)],[19829])).
% 73.47/46.31 tff(19831,plain,
% 73.47/46.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))),
% 73.47/46.31 inference(transitivity,[status(thm)],[19830, 19828])).
% 73.47/46.31 tff(19832,plain,
% 73.47/46.31 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2)))),
% 73.47/46.31 inference(quant_inst,[status(thm)],[])).
% 73.47/46.31 tff(19833,plain,
% 73.47/46.31 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2)),
% 73.47/46.31 inference(modus_ponens,[status(thm)],[19832, 19831])).
% 73.47/46.31 tff(19834,plain,
% 73.47/46.31 ((~v127(constB135, bitIndex2)) | v130(constB135, bitIndex2)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19833, 470, 19827])).
% 73.47/46.31 tff(19835,plain,
% 73.47/46.31 (~v127(constB135, bitIndex2)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19834, 19823])).
% 73.47/46.31 tff(19836,plain,
% 73.47/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2)))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19837,plain,
% 73.47/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2)))),
% 73.47/46.31 inference(quant_inst,[status(thm)],[])).
% 73.47/46.31 tff(19838,plain,
% 73.47/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2))),
% 73.47/46.31 inference(modus_ponens,[status(thm)],[19837, 19836])).
% 73.47/46.31 tff(19839,plain,
% 73.47/46.31 (v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2))),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19838, 488, 19726])).
% 73.47/46.31 tff(19840,plain,
% 73.47/46.31 (~v129(constB136, bitIndex2)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19839, 19835])).
% 73.47/46.31 tff(19841,plain,
% 73.47/46.31 (~v124(constB133)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19516, 1941, 19405])).
% 73.47/46.31 tff(19842,plain,
% 73.47/46.31 (~v122(constB133)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19526, 1853, 19374])).
% 73.47/46.31 tff(19843,plain,
% 73.47/46.31 (~v123(constB133)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19530, 1930, 19405])).
% 73.47/46.31 tff(19844,plain,
% 73.47/46.31 (~v121(constB133)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19534, 1842, 19374])).
% 73.47/46.31 tff(19845,plain,
% 73.47/46.31 (~v119(constB133)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19538, 1908, 19405])).
% 73.47/46.31 tff(19846,plain,
% 73.47/46.31 (~v120(constB133)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19542, 1919, 19405])).
% 73.47/46.31 tff(19847,plain,
% 73.47/46.31 (v130(constB133, bitIndex0)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19605, 2192, 19846, 19845, 19844, 19843, 19842, 19841])).
% 73.47/46.31 tff(19848,plain,
% 73.47/46.31 (v127(constB133, bitIndex0)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19610, 19847])).
% 73.47/46.31 tff(19849,plain,
% 73.47/46.31 (v129(constB134, bitIndex0)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19615, 19848])).
% 73.47/46.31 tff(19850,plain,
% 73.47/46.31 (v90(constB134, bitIndex0) | (~v100(constB134))),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19622, 401, 19849])).
% 73.47/46.31 tff(19851,plain,
% 73.47/46.31 (v90(constB134, bitIndex0)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19850, 19500])).
% 73.47/46.31 tff(19852,plain,
% 73.47/46.31 (v90(constB135, bitIndex0)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19632, 19851])).
% 73.47/46.31 tff(19853,plain,
% 73.47/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB135, bitIndex0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB135, bitIndex0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex0))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19854,plain,
% 73.47/46.31 (((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex0)) | v100(constB136) | v90(constB136, bitIndex0)) <=> ((~v90(constB135, bitIndex0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex0))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19855,plain,
% 73.47/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex0)) | v100(constB136) | v90(constB136, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB135, bitIndex0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex0)))),
% 73.47/46.31 inference(monotonicity,[status(thm)],[19854])).
% 73.47/46.31 tff(19856,plain,
% 73.47/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex0)) | v100(constB136) | v90(constB136, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB135, bitIndex0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex0))),
% 73.47/46.31 inference(transitivity,[status(thm)],[19855, 19853])).
% 73.47/46.31 tff(19857,plain,
% 73.47/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex0)) | v100(constB136) | v90(constB136, bitIndex0))),
% 73.47/46.31 inference(quant_inst,[status(thm)],[])).
% 73.47/46.31 tff(19858,plain,
% 73.47/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB135, bitIndex0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex0)),
% 73.47/46.31 inference(modus_ponens,[status(thm)],[19857, 19856])).
% 73.47/46.31 tff(19859,plain,
% 73.47/46.31 ((~v90(constB135, bitIndex0)) | v100(constB136) | v90(constB136, bitIndex0)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19858, 437, 19726])).
% 73.47/46.31 tff(19860,plain,
% 73.47/46.31 (v100(constB136)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19859, 19792, 19852])).
% 73.47/46.31 tff(19861,plain,
% 73.47/46.31 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19862,plain,
% 73.47/46.31 (((~v90(constB136, bitIndex2)) | (~v100(constB136)) | v129(constB136, bitIndex2)) <=> ((~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19863,plain,
% 73.47/46.31 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB136, bitIndex2)) | (~v100(constB136)) | v129(constB136, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136))))),
% 73.47/46.31 inference(monotonicity,[status(thm)],[19862])).
% 73.47/46.31 tff(19864,plain,
% 73.47/46.31 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB136, bitIndex2)) | (~v100(constB136)) | v129(constB136, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))),
% 73.47/46.31 inference(transitivity,[status(thm)],[19863, 19861])).
% 73.47/46.31 tff(19865,plain,
% 73.47/46.31 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB136, bitIndex2)) | (~v100(constB136)) | v129(constB136, bitIndex2))),
% 73.47/46.31 inference(quant_inst,[status(thm)],[])).
% 73.47/46.31 tff(19866,plain,
% 73.47/46.31 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136))),
% 73.47/46.31 inference(modus_ponens,[status(thm)],[19865, 19864])).
% 73.47/46.31 tff(19867,plain,
% 73.47/46.31 ((~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19866, 503, 19860])).
% 73.47/46.31 tff(19868,plain,
% 73.47/46.31 (~v90(constB136, bitIndex2)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19867, 19840])).
% 73.47/46.31 tff(19869,assumption,(~v90(constB136, bitIndex2)), introduced(assumption)).
% 73.47/46.31 tff(19870,plain,
% 73.47/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19871,plain,
% 73.47/46.31 (((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2))) <=> (v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19872,plain,
% 73.47/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2))))),
% 73.47/46.31 inference(monotonicity,[status(thm)],[19871])).
% 73.47/46.31 tff(19873,plain,
% 73.47/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 73.47/46.31 inference(transitivity,[status(thm)],[19872, 19870])).
% 73.47/46.31 tff(19874,plain,
% 73.47/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 73.47/46.31 inference(quant_inst,[status(thm)],[])).
% 73.47/46.31 tff(19875,plain,
% 73.47/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2))),
% 73.47/46.31 inference(modus_ponens,[status(thm)],[19874, 19873])).
% 73.47/46.31 tff(19876,plain,
% 73.47/46.31 (v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2))),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19875, 88, 19798])).
% 73.47/46.31 tff(19877,plain,
% 73.47/46.31 (v90(constB136, bitIndex2) | (~v90(constB137, bitIndex2))),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19876, 19810])).
% 73.47/46.31 tff(19878,plain,
% 73.47/46.31 (~v90(constB137, bitIndex2)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19877, 19869])).
% 73.47/46.31 tff(19879,assumption,(~v90(constB136, bitIndex0)), introduced(assumption)).
% 73.47/46.31 tff(19880,assumption,(~v100(constB136)), introduced(assumption)).
% 73.47/46.31 tff(19881,plain,
% 73.47/46.31 (~v110(constB136)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19759, 19880])).
% 73.47/46.31 tff(19882,plain,
% 73.47/46.31 (~v108(constB135)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19733, 19881])).
% 73.47/46.31 tff(19883,plain,
% 73.47/46.31 (~v113(constB135)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19722, 19882])).
% 73.47/46.31 tff(19884,plain,
% 73.47/46.31 (~v114(constB135)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19705, 287, 19883])).
% 73.47/46.31 tff(19885,plain,
% 73.47/46.31 (~v115(constB135)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19701, 276, 19884])).
% 73.47/46.31 tff(19886,plain,
% 73.47/46.31 (~v116(constB135)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19697, 265, 19885])).
% 73.47/46.31 tff(19887,plain,
% 73.47/46.31 (~v117(constB135)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19693, 254, 19886])).
% 73.47/46.31 tff(19888,plain,
% 73.47/46.31 (~v118(constB135)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19689, 243, 19887])).
% 73.47/46.31 tff(19889,plain,
% 73.47/46.31 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB135) | (~v121(constB135)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB135) | (~v121(constB135)))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19890,plain,
% 73.47/46.31 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB135) | (~v121(constB135)))),
% 73.47/46.31 inference(quant_inst,[status(thm)],[])).
% 73.47/46.31 tff(19891,plain,
% 73.47/46.31 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB135) | (~v121(constB135))),
% 73.47/46.31 inference(modus_ponens,[status(thm)],[19890, 19889])).
% 73.47/46.31 tff(19892,plain,
% 73.47/46.31 (~v121(constB135)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19891, 976, 19887])).
% 73.47/46.31 tff(19893,plain,
% 73.47/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB135, bitIndex2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB135, bitIndex2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex2))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19894,plain,
% 73.47/46.31 (((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex2)) | v100(constB136) | v90(constB136, bitIndex2)) <=> ((~v90(constB135, bitIndex2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex2))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19895,plain,
% 73.47/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex2)) | v100(constB136) | v90(constB136, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB135, bitIndex2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex2)))),
% 73.47/46.31 inference(monotonicity,[status(thm)],[19894])).
% 73.47/46.31 tff(19896,plain,
% 73.47/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex2)) | v100(constB136) | v90(constB136, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB135, bitIndex2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex2))),
% 73.47/46.31 inference(transitivity,[status(thm)],[19895, 19893])).
% 73.47/46.31 tff(19897,plain,
% 73.47/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB135, constB136)) | (~v90(constB135, bitIndex2)) | v100(constB136) | v90(constB136, bitIndex2))),
% 73.47/46.31 inference(quant_inst,[status(thm)],[])).
% 73.47/46.31 tff(19898,plain,
% 73.47/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB135, bitIndex2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, bitIndex2)),
% 73.47/46.31 inference(modus_ponens,[status(thm)],[19897, 19896])).
% 73.47/46.31 tff(19899,plain,
% 73.47/46.31 ((~v90(constB135, bitIndex2)) | v100(constB136) | v90(constB136, bitIndex2)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19898, 1370, 19726])).
% 73.47/46.31 tff(19900,plain,
% 73.47/46.31 (~v90(constB135, bitIndex2)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19899, 19880, 19869])).
% 73.47/46.31 tff(19901,plain,
% 73.47/46.31 (~v90(constB135, bitIndex0)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19859, 19880, 19879])).
% 73.47/46.31 tff(19902,plain,
% 73.47/46.31 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex2) | v121(constB135))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex2) | v121(constB135))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19903,plain,
% 73.47/46.31 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex2) | v121(constB135))),
% 73.47/46.31 inference(quant_inst,[status(thm)],[])).
% 73.47/46.31 tff(19904,plain,
% 73.47/46.31 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | v90(constB135, bitIndex2) | v121(constB135)),
% 73.47/46.31 inference(modus_ponens,[status(thm)],[19903, 19902])).
% 73.47/46.31 tff(19905,plain,
% 73.47/46.31 ((~v90(constB135, bitIndex1)) | v121(constB135)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19904, 965, 19901, 19900])).
% 73.47/46.31 tff(19906,plain,
% 73.47/46.31 (~v90(constB135, bitIndex1)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19905, 19892])).
% 73.47/46.31 tff(19907,plain,
% 73.47/46.31 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB135) | v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB135) | v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19908,plain,
% 73.47/46.31 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB135) | v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2))),
% 73.47/46.31 inference(quant_inst,[status(thm)],[])).
% 73.47/46.31 tff(19909,plain,
% 73.47/46.31 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB135) | v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2)),
% 73.47/46.31 inference(modus_ponens,[status(thm)],[19908, 19907])).
% 73.47/46.31 tff(19910,plain,
% 73.47/46.31 (v119(constB135) | v90(constB135, bitIndex1)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19909, 151, 19901, 19900])).
% 73.47/46.31 tff(19911,plain,
% 73.47/46.31 (v119(constB135)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19910, 19906])).
% 73.47/46.31 tff(19912,plain,
% 73.47/46.31 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB135) | (~v119(constB135)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB135) | (~v119(constB135)))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19913,plain,
% 73.47/46.31 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB135) | (~v119(constB135)))),
% 73.47/46.31 inference(quant_inst,[status(thm)],[])).
% 73.47/46.31 tff(19914,plain,
% 73.47/46.31 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB135) | (~v119(constB135))),
% 73.47/46.31 inference(modus_ponens,[status(thm)],[19913, 19912])).
% 73.47/46.31 tff(19915,plain,
% 73.47/46.31 ($false),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19914, 232, 19911, 19888])).
% 73.47/46.31 tff(19916,plain,(v100(constB136) | v90(constB136, bitIndex0) | v90(constB136, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 73.47/46.31 tff(19917,plain,
% 73.47/46.31 (v100(constB136)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19916, 19869, 19879])).
% 73.47/46.31 tff(19918,plain,
% 73.47/46.31 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0)) | (~v100(constB136)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0)) | (~v100(constB136)))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19919,plain,
% 73.47/46.31 ((v90(constB136, bitIndex0) | (~v100(constB136)) | (~v129(constB136, bitIndex0))) <=> (v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0)) | (~v100(constB136)))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19920,plain,
% 73.47/46.31 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~v100(constB136)) | (~v129(constB136, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0)) | (~v100(constB136))))),
% 73.47/46.31 inference(monotonicity,[status(thm)],[19919])).
% 73.47/46.31 tff(19921,plain,
% 73.47/46.31 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~v100(constB136)) | (~v129(constB136, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0)) | (~v100(constB136)))),
% 73.47/46.31 inference(transitivity,[status(thm)],[19920, 19918])).
% 73.47/46.31 tff(19922,plain,
% 73.47/46.31 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~v100(constB136)) | (~v129(constB136, bitIndex0)))),
% 73.47/46.31 inference(quant_inst,[status(thm)],[])).
% 73.47/46.31 tff(19923,plain,
% 73.47/46.31 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0)) | (~v100(constB136))),
% 73.47/46.31 inference(modus_ponens,[status(thm)],[19922, 19921])).
% 73.47/46.31 tff(19924,plain,
% 73.47/46.31 ((~v129(constB136, bitIndex0)) | (~v100(constB136))),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19923, 401, 19879])).
% 73.47/46.31 tff(19925,plain,
% 73.47/46.31 (~v129(constB136, bitIndex0)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19924, 19917])).
% 73.47/46.31 tff(19926,plain,
% 73.47/46.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB135, constB136)) | (~v127(constB135, bitIndex0)) | v129(constB136, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB135, constB136)) | (~v127(constB135, bitIndex0)) | v129(constB136, bitIndex0))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19927,plain,
% 73.47/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB135, constB136)) | (~v127(constB135, bitIndex0)) | v129(constB136, bitIndex0))),
% 73.47/46.31 inference(quant_inst,[status(thm)],[])).
% 73.47/46.31 tff(19928,plain,
% 73.47/46.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB135, constB136)) | (~v127(constB135, bitIndex0)) | v129(constB136, bitIndex0)),
% 73.47/46.31 inference(modus_ponens,[status(thm)],[19927, 19926])).
% 73.47/46.31 tff(19929,plain,
% 73.47/46.31 ((~v127(constB135, bitIndex0)) | v129(constB136, bitIndex0)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19928, 197, 19726])).
% 73.47/46.31 tff(19930,plain,
% 73.47/46.31 (~v127(constB135, bitIndex0)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19929, 19925])).
% 73.47/46.31 tff(19931,plain,
% 73.47/46.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB135) | (~v130(constB135, bitIndex0)) | v127(constB135, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB135) | (~v130(constB135, bitIndex0)) | v127(constB135, bitIndex0))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19932,plain,
% 73.47/46.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB135) | (~v130(constB135, bitIndex0)) | v127(constB135, bitIndex0))),
% 73.47/46.31 inference(quant_inst,[status(thm)],[])).
% 73.47/46.31 tff(19933,plain,
% 73.47/46.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB135) | (~v130(constB135, bitIndex0)) | v127(constB135, bitIndex0)),
% 73.47/46.31 inference(modus_ponens,[status(thm)],[19932, 19931])).
% 73.47/46.31 tff(19934,plain,
% 73.47/46.31 ((~v130(constB135, bitIndex0)) | v127(constB135, bitIndex0)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19933, 179, 19827])).
% 73.47/46.31 tff(19935,plain,
% 73.47/46.31 (~v130(constB135, bitIndex0)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19934, 19930])).
% 73.47/46.31 tff(19936,plain,
% 73.47/46.31 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB135)) | v130(constB135, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB135)) | v130(constB135, bitIndex0))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19937,plain,
% 73.47/46.31 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB135)) | v130(constB135, bitIndex0))),
% 73.47/46.31 inference(quant_inst,[status(thm)],[])).
% 73.47/46.31 tff(19938,plain,
% 73.47/46.31 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB135)) | v130(constB135, bitIndex0)),
% 73.47/46.31 inference(modus_ponens,[status(thm)],[19937, 19936])).
% 73.47/46.31 tff(19939,plain,
% 73.47/46.31 (~v119(constB135)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19938, 165, 19935])).
% 73.47/46.31 tff(19940,plain,
% 73.47/46.31 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB135)) | v130(constB135, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB135)) | v130(constB135, bitIndex0))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19941,plain,
% 73.47/46.31 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB135)) | v130(constB135, bitIndex0))),
% 73.47/46.31 inference(quant_inst,[status(thm)],[])).
% 73.47/46.31 tff(19942,plain,
% 73.47/46.31 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB135)) | v130(constB135, bitIndex0)),
% 73.47/46.31 inference(modus_ponens,[status(thm)],[19941, 19940])).
% 73.47/46.31 tff(19943,plain,
% 73.47/46.31 (~v121(constB135)),
% 73.47/46.31 inference(unit_resolution,[status(thm)],[19942, 1162, 19935])).
% 73.47/46.31 tff(19944,plain,
% 73.47/46.31 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB136, bitIndex2) | (~v129(constB136, bitIndex2)) | (~v100(constB136)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~v129(constB136, bitIndex2)) | (~v100(constB136)))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19945,plain,
% 73.47/46.31 ((v90(constB136, bitIndex2) | (~v100(constB136)) | (~v129(constB136, bitIndex2))) <=> (v90(constB136, bitIndex2) | (~v129(constB136, bitIndex2)) | (~v100(constB136)))),
% 73.47/46.31 inference(rewrite,[status(thm)],[])).
% 73.47/46.31 tff(19946,plain,
% 73.47/46.31 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB136, bitIndex2) | (~v100(constB136)) | (~v129(constB136, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB136, bitIndex2) | (~v129(constB136, bitIndex2)) | (~v100(constB136))))),
% 73.47/46.32 inference(monotonicity,[status(thm)],[19945])).
% 73.47/46.32 tff(19947,plain,
% 73.47/46.32 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB136, bitIndex2) | (~v100(constB136)) | (~v129(constB136, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~v129(constB136, bitIndex2)) | (~v100(constB136)))),
% 73.47/46.32 inference(transitivity,[status(thm)],[19946, 19944])).
% 73.47/46.32 tff(19948,plain,
% 73.47/46.32 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB136, bitIndex2) | (~v100(constB136)) | (~v129(constB136, bitIndex2)))),
% 73.47/46.32 inference(quant_inst,[status(thm)],[])).
% 73.47/46.32 tff(19949,plain,
% 73.47/46.32 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB136, bitIndex2) | (~v129(constB136, bitIndex2)) | (~v100(constB136))),
% 73.47/46.32 inference(modus_ponens,[status(thm)],[19948, 19947])).
% 73.47/46.32 tff(19950,plain,
% 73.47/46.32 (~v129(constB136, bitIndex2)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[19949, 1334, 19917, 19869])).
% 73.47/46.32 tff(19951,plain,
% 73.47/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB135, constB136)) | (~v127(constB135, bitIndex2)) | v129(constB136, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB135, constB136)) | (~v127(constB135, bitIndex2)) | v129(constB136, bitIndex2))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(19952,plain,
% 73.47/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB135, constB136)) | (~v127(constB135, bitIndex2)) | v129(constB136, bitIndex2))),
% 73.47/46.32 inference(quant_inst,[status(thm)],[])).
% 73.47/46.32 tff(19953,plain,
% 73.47/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB135, constB136)) | (~v127(constB135, bitIndex2)) | v129(constB136, bitIndex2)),
% 73.47/46.32 inference(modus_ponens,[status(thm)],[19952, 19951])).
% 73.47/46.32 tff(19954,plain,
% 73.47/46.32 ((~v127(constB135, bitIndex2)) | v129(constB136, bitIndex2)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[19953, 1319, 19726])).
% 73.47/46.32 tff(19955,plain,
% 73.47/46.32 (~v127(constB135, bitIndex2)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[19954, 19950])).
% 73.47/46.32 tff(19956,plain,
% 73.47/46.32 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB135) | (~v130(constB135, bitIndex2)) | v127(constB135, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB135) | (~v130(constB135, bitIndex2)) | v127(constB135, bitIndex2))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(19957,plain,
% 73.47/46.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB135) | (~v130(constB135, bitIndex2)) | v127(constB135, bitIndex2))),
% 73.47/46.32 inference(quant_inst,[status(thm)],[])).
% 73.47/46.32 tff(19958,plain,
% 73.47/46.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB135) | (~v130(constB135, bitIndex2)) | v127(constB135, bitIndex2)),
% 73.47/46.32 inference(modus_ponens,[status(thm)],[19957, 19956])).
% 73.47/46.32 tff(19959,plain,
% 73.47/46.32 ((~v130(constB135, bitIndex2)) | v127(constB135, bitIndex2)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[19958, 1304, 19827])).
% 73.47/46.32 tff(19960,plain,
% 73.47/46.32 (~v130(constB135, bitIndex2)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[19959, 19955])).
% 73.47/46.32 tff(19961,plain,
% 73.47/46.32 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB135)) | v130(constB135, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB135)) | v130(constB135, bitIndex2))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(19962,plain,
% 73.47/46.32 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB135)) | v130(constB135, bitIndex2))),
% 73.47/46.32 inference(quant_inst,[status(thm)],[])).
% 73.47/46.32 tff(19963,plain,
% 73.47/46.32 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB135)) | v130(constB135, bitIndex2)),
% 73.47/46.32 inference(modus_ponens,[status(thm)],[19962, 19961])).
% 73.47/46.32 tff(19964,plain,
% 73.47/46.32 (~v122(constB135)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[19963, 1290, 19960])).
% 73.47/46.32 tff(19965,plain,
% 73.47/46.32 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB135)) | v130(constB135, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB135)) | v130(constB135, bitIndex0))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(19966,plain,
% 73.47/46.32 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB135)) | v130(constB135, bitIndex0))),
% 73.47/46.32 inference(quant_inst,[status(thm)],[])).
% 73.47/46.32 tff(19967,plain,
% 73.47/46.32 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB135)) | v130(constB135, bitIndex0)),
% 73.47/46.32 inference(modus_ponens,[status(thm)],[19966, 19965])).
% 73.47/46.32 tff(19968,plain,
% 73.47/46.32 (~v123(constB135)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[19967, 1666, 19935])).
% 73.47/46.32 tff(19969,plain,
% 73.47/46.32 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB135)) | v130(constB135, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB135)) | v130(constB135, bitIndex2))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(19970,plain,
% 73.47/46.32 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB135)) | v130(constB135, bitIndex2))),
% 73.47/46.32 inference(quant_inst,[status(thm)],[])).
% 73.47/46.32 tff(19971,plain,
% 73.47/46.32 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB135)) | v130(constB135, bitIndex2)),
% 73.47/46.32 inference(modus_ponens,[status(thm)],[19970, 19969])).
% 73.47/46.32 tff(19972,plain,
% 73.47/46.32 (~v124(constB135)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[19971, 1786, 19960])).
% 73.47/46.32 tff(19973,plain,
% 73.47/46.32 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | v130(constB135, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | v130(constB135, bitIndex0))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(19974,plain,
% 73.47/46.32 ((v120(constB135) | v119(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | v130(constB135, bitIndex0)) <=> (v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | v130(constB135, bitIndex0))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(19975,plain,
% 73.47/46.32 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB135) | v119(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | v130(constB135, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | v130(constB135, bitIndex0)))),
% 73.47/46.32 inference(monotonicity,[status(thm)],[19974])).
% 73.47/46.32 tff(19976,plain,
% 73.47/46.32 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB135) | v119(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | v130(constB135, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | v130(constB135, bitIndex0))),
% 73.47/46.32 inference(transitivity,[status(thm)],[19975, 19973])).
% 73.47/46.32 tff(19977,plain,
% 73.47/46.32 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB135) | v119(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | v130(constB135, bitIndex0))),
% 73.47/46.32 inference(quant_inst,[status(thm)],[])).
% 73.47/46.32 tff(19978,plain,
% 73.47/46.32 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | v130(constB135, bitIndex0)),
% 73.47/46.32 inference(modus_ponens,[status(thm)],[19977, 19976])).
% 73.47/46.32 tff(19979,plain,
% 73.47/46.32 (v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[19978, 2192, 19935])).
% 73.47/46.32 tff(19980,plain,
% 73.47/46.32 (v120(constB135)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[19979, 19972, 19968, 19964, 19943, 19939])).
% 73.47/46.32 tff(19981,plain,
% 73.47/46.32 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB135)) | v130(constB135, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB135)) | v130(constB135, bitIndex1))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(19982,plain,
% 73.47/46.32 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB135)) | v130(constB135, bitIndex1))),
% 73.47/46.32 inference(quant_inst,[status(thm)],[])).
% 73.47/46.32 tff(19983,plain,
% 73.47/46.32 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB135)) | v130(constB135, bitIndex1)),
% 73.47/46.32 inference(modus_ponens,[status(thm)],[19982, 19981])).
% 73.47/46.32 tff(19984,plain,
% 73.47/46.32 (v130(constB135, bitIndex1)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[19983, 810, 19980])).
% 73.47/46.32 tff(19985,plain,
% 73.47/46.32 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB135) | (~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB135) | (~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(19986,plain,
% 73.47/46.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB135) | (~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1))),
% 73.47/46.32 inference(quant_inst,[status(thm)],[])).
% 73.47/46.32 tff(19987,plain,
% 73.47/46.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB135) | (~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1)),
% 73.47/46.32 inference(modus_ponens,[status(thm)],[19986, 19985])).
% 73.47/46.32 tff(19988,plain,
% 73.47/46.32 ((~v130(constB135, bitIndex1)) | v127(constB135, bitIndex1)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[19987, 824, 19827])).
% 73.47/46.32 tff(19989,plain,
% 73.47/46.32 (v127(constB135, bitIndex1)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[19988, 19984])).
% 73.47/46.32 tff(19990,plain,
% 73.47/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB135, constB136)) | (~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB135, constB136)) | (~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(19991,plain,
% 73.47/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB135, constB136)) | (~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1))),
% 73.47/46.32 inference(quant_inst,[status(thm)],[])).
% 73.47/46.32 tff(19992,plain,
% 73.47/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB135, constB136)) | (~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1)),
% 73.47/46.32 inference(modus_ponens,[status(thm)],[19991, 19990])).
% 73.47/46.32 tff(19993,plain,
% 73.47/46.32 ((~v127(constB135, bitIndex1)) | v129(constB136, bitIndex1)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[19992, 839, 19726])).
% 73.47/46.32 tff(19994,plain,
% 73.47/46.32 (v129(constB136, bitIndex1)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[19993, 19989])).
% 73.47/46.32 tff(19995,plain,
% 73.47/46.32 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136)))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(19996,plain,
% 73.47/46.32 ((v90(constB136, bitIndex1) | (~v100(constB136)) | (~v129(constB136, bitIndex1))) <=> (v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136)))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(19997,plain,
% 73.47/46.32 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~v100(constB136)) | (~v129(constB136, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136))))),
% 73.47/46.32 inference(monotonicity,[status(thm)],[19996])).
% 73.47/46.32 tff(19998,plain,
% 73.47/46.32 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~v100(constB136)) | (~v129(constB136, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136)))),
% 73.47/46.32 inference(transitivity,[status(thm)],[19997, 19995])).
% 73.47/46.32 tff(19999,plain,
% 73.47/46.32 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB136, bitIndex1) | (~v100(constB136)) | (~v129(constB136, bitIndex1)))),
% 73.47/46.32 inference(quant_inst,[status(thm)],[])).
% 73.47/46.32 tff(20000,plain,
% 73.47/46.32 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1)) | (~v100(constB136))),
% 73.47/46.32 inference(modus_ponens,[status(thm)],[19999, 19998])).
% 73.47/46.32 tff(20001,plain,
% 73.47/46.32 (v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1))),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[20000, 854, 19917])).
% 73.47/46.32 tff(20002,plain,
% 73.47/46.32 (v90(constB136, bitIndex1)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[20001, 19994])).
% 73.47/46.32 tff(20003,plain,
% 73.47/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(20004,plain,
% 73.47/46.32 (((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1)) <=> ((~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(20005,plain,
% 73.47/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1)))),
% 73.47/46.32 inference(monotonicity,[status(thm)],[20004])).
% 73.47/46.32 tff(20006,plain,
% 73.47/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1))),
% 73.47/46.32 inference(transitivity,[status(thm)],[20005, 20003])).
% 73.47/46.32 tff(20007,plain,
% 73.47/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1))),
% 73.47/46.32 inference(quant_inst,[status(thm)],[])).
% 73.47/46.32 tff(20008,plain,
% 73.47/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1)),
% 73.47/46.32 inference(modus_ponens,[status(thm)],[20007, 20006])).
% 73.47/46.32 tff(20009,plain,
% 73.47/46.32 ((~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[20008, 872, 19798])).
% 73.47/46.32 tff(20010,plain,
% 73.47/46.32 ((~v90(constB136, bitIndex1)) | v90(constB137, bitIndex1)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[20009, 19810])).
% 73.47/46.32 tff(20011,plain,
% 73.47/46.32 (v90(constB137, bitIndex1)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[20010, 20002])).
% 73.47/46.32 tff(20012,plain,
% 73.47/46.32 (~v90(constB137, bitIndex0)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[19818, 19879])).
% 73.47/46.32 tff(20013,plain,
% 73.47/46.32 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(20014,plain,
% 73.47/46.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137))),
% 73.47/46.32 inference(quant_inst,[status(thm)],[])).
% 73.47/46.32 tff(20015,plain,
% 73.47/46.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137)),
% 73.47/46.32 inference(modus_ponens,[status(thm)],[20014, 20013])).
% 73.47/46.32 tff(20016,plain,
% 73.47/46.32 ((~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[20015, 965, 20012])).
% 73.47/46.32 tff(20017,plain,
% 73.47/46.32 (v121(constB137)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[20016, 20011, 19878])).
% 73.47/46.32 tff(20018,assumption,(~v90(constB138, bitIndex1)), introduced(assumption)).
% 73.47/46.32 tff(20019,plain,
% 73.47/46.32 (nextState(constB137, constB138) <=> nextState(constB137, constB138)),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(20020,axiom,(nextState(constB137, constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_137_1')).
% 73.47/46.32 tff(20021,plain,
% 73.47/46.32 (nextState(constB137, constB138)),
% 73.47/46.32 inference(modus_ponens,[status(thm)],[20020, 20019])).
% 73.47/46.32 tff(20022,plain,
% 73.47/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB137, bitIndex1)) | (~nextState(constB137, constB138)) | v100(constB138) | v90(constB138, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB137, bitIndex1)) | (~nextState(constB137, constB138)) | v100(constB138) | v90(constB138, bitIndex1))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(20023,plain,
% 73.47/46.32 (((~nextState(constB137, constB138)) | (~v90(constB137, bitIndex1)) | v100(constB138) | v90(constB138, bitIndex1)) <=> ((~v90(constB137, bitIndex1)) | (~nextState(constB137, constB138)) | v100(constB138) | v90(constB138, bitIndex1))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(20024,plain,
% 73.47/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v90(constB137, bitIndex1)) | v100(constB138) | v90(constB138, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB137, bitIndex1)) | (~nextState(constB137, constB138)) | v100(constB138) | v90(constB138, bitIndex1)))),
% 73.47/46.32 inference(monotonicity,[status(thm)],[20023])).
% 73.47/46.32 tff(20025,plain,
% 73.47/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v90(constB137, bitIndex1)) | v100(constB138) | v90(constB138, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB137, bitIndex1)) | (~nextState(constB137, constB138)) | v100(constB138) | v90(constB138, bitIndex1))),
% 73.47/46.32 inference(transitivity,[status(thm)],[20024, 20022])).
% 73.47/46.32 tff(20026,plain,
% 73.47/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v90(constB137, bitIndex1)) | v100(constB138) | v90(constB138, bitIndex1))),
% 73.47/46.32 inference(quant_inst,[status(thm)],[])).
% 73.47/46.32 tff(20027,plain,
% 73.47/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB137, bitIndex1)) | (~nextState(constB137, constB138)) | v100(constB138) | v90(constB138, bitIndex1)),
% 73.47/46.32 inference(modus_ponens,[status(thm)],[20026, 20025])).
% 73.47/46.32 tff(20028,plain,
% 73.47/46.32 ((~v90(constB137, bitIndex1)) | v100(constB138) | v90(constB138, bitIndex1)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[20027, 872, 20021])).
% 73.47/46.32 tff(20029,plain,
% 73.47/46.32 (v100(constB138)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[20028, 20011, 20018])).
% 73.47/46.32 tff(20030,plain,
% 73.47/46.32 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(20031,plain,
% 73.47/46.32 ((v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1))) <=> (v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(20032,plain,
% 73.47/46.32 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138))))),
% 73.47/46.32 inference(monotonicity,[status(thm)],[20031])).
% 73.47/46.32 tff(20033,plain,
% 73.47/46.32 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))),
% 73.47/46.32 inference(transitivity,[status(thm)],[20032, 20030])).
% 73.47/46.32 tff(20034,plain,
% 73.47/46.32 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1)))),
% 73.47/46.32 inference(quant_inst,[status(thm)],[])).
% 73.47/46.32 tff(20035,plain,
% 73.47/46.32 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138))),
% 73.47/46.32 inference(modus_ponens,[status(thm)],[20034, 20033])).
% 73.47/46.32 tff(20036,plain,
% 73.47/46.32 ((~v129(constB138, bitIndex1)) | (~v100(constB138))),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[20035, 854, 20018])).
% 73.47/46.32 tff(20037,plain,
% 73.47/46.32 (~v129(constB138, bitIndex1)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[20036, 20029])).
% 73.47/46.32 tff(20038,plain,
% 73.47/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(20039,plain,
% 73.47/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1))),
% 73.47/46.32 inference(quant_inst,[status(thm)],[])).
% 73.47/46.32 tff(20040,plain,
% 73.47/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1)),
% 73.47/46.32 inference(modus_ponens,[status(thm)],[20039, 20038])).
% 73.47/46.32 tff(20041,plain,
% 73.47/46.32 ((~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[20040, 839, 20021])).
% 73.47/46.32 tff(20042,plain,
% 73.47/46.32 (~v127(constB137, bitIndex1)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[20041, 20037])).
% 73.47/46.32 tff(20043,assumption,(v26(constB137)), introduced(assumption)).
% 73.47/46.32 tff(20044,plain,
% 73.47/46.32 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB137))),
% 73.47/46.32 inference(quant_inst,[status(thm)],[])).
% 73.47/46.32 tff(20045,plain,
% 73.47/46.32 ($false),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[20044, 37, 20043])).
% 73.47/46.32 tff(20046,plain,(~v26(constB137)), inference(lemma,lemma(discharge,[]))).
% 73.47/46.32 tff(20047,plain,
% 73.47/46.32 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(20048,plain,
% 73.47/46.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1))),
% 73.47/46.32 inference(quant_inst,[status(thm)],[])).
% 73.47/46.32 tff(20049,plain,
% 73.47/46.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1)),
% 73.47/46.32 inference(modus_ponens,[status(thm)],[20048, 20047])).
% 73.47/46.32 tff(20050,plain,
% 73.47/46.32 ((~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[20049, 824, 20046])).
% 73.47/46.32 tff(20051,plain,
% 73.47/46.32 (~v130(constB137, bitIndex1)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[20050, 20042])).
% 73.47/46.32 tff(20052,plain,
% 73.47/46.32 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB137)) | v130(constB137, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB137)) | v130(constB137, bitIndex1))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(20053,plain,
% 73.47/46.32 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB137)) | v130(constB137, bitIndex1))),
% 73.47/46.32 inference(quant_inst,[status(thm)],[])).
% 73.47/46.32 tff(20054,plain,
% 73.47/46.32 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB137)) | v130(constB137, bitIndex1)),
% 73.47/46.32 inference(modus_ponens,[status(thm)],[20053, 20052])).
% 73.47/46.32 tff(20055,plain,
% 73.47/46.32 ($false),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[20054, 1121, 20051, 20017])).
% 73.47/46.32 tff(20056,plain,(v90(constB136, bitIndex2) | v90(constB138, bitIndex1) | v90(constB136, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.47/46.32 tff(20057,plain,
% 73.47/46.32 (v90(constB138, bitIndex1)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[20056, 19868, 19792])).
% 73.47/46.32 tff(20058,assumption,(v90(constB138, bitIndex1)), introduced(assumption)).
% 73.47/46.32 tff(20059,assumption,(v90(constB138, bitIndex2)), introduced(assumption)).
% 73.47/46.32 tff(20060,assumption,(~v90(constB137, bitIndex0)), introduced(assumption)).
% 73.47/46.32 tff(20061,assumption,(~v100(constB138)), introduced(assumption)).
% 73.47/46.32 tff(20062,plain,
% 73.47/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB137, bitIndex1) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB137, bitIndex1) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex1)))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(20063,plain,
% 73.47/46.32 (((~nextState(constB137, constB138)) | v90(constB137, bitIndex1) | v100(constB138) | (~v90(constB138, bitIndex1))) <=> (v90(constB137, bitIndex1) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex1)))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(20064,plain,
% 73.47/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB137, constB138)) | v90(constB137, bitIndex1) | v100(constB138) | (~v90(constB138, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB137, bitIndex1) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex1))))),
% 73.47/46.32 inference(monotonicity,[status(thm)],[20063])).
% 73.47/46.32 tff(20065,plain,
% 73.47/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB137, constB138)) | v90(constB137, bitIndex1) | v100(constB138) | (~v90(constB138, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB137, bitIndex1) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex1)))),
% 73.47/46.32 inference(transitivity,[status(thm)],[20064, 20062])).
% 73.47/46.32 tff(20066,plain,
% 73.47/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB137, constB138)) | v90(constB137, bitIndex1) | v100(constB138) | (~v90(constB138, bitIndex1)))),
% 73.47/46.32 inference(quant_inst,[status(thm)],[])).
% 73.47/46.32 tff(20067,plain,
% 73.47/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB137, bitIndex1) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex1))),
% 73.47/46.32 inference(modus_ponens,[status(thm)],[20066, 20065])).
% 73.47/46.32 tff(20068,plain,
% 73.47/46.32 (v90(constB137, bitIndex1) | v100(constB138) | (~v90(constB138, bitIndex1))),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[20067, 109, 20021])).
% 73.47/46.32 tff(20069,plain,
% 73.47/46.32 (v90(constB137, bitIndex1)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[20068, 20061, 20058])).
% 73.47/46.32 tff(20070,plain,
% 73.47/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB137, bitIndex2) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB137, bitIndex2) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex2)))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(20071,plain,
% 73.47/46.32 (((~nextState(constB137, constB138)) | v90(constB137, bitIndex2) | v100(constB138) | (~v90(constB138, bitIndex2))) <=> (v90(constB137, bitIndex2) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex2)))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(20072,plain,
% 73.47/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v90(constB137, bitIndex2) | v100(constB138) | (~v90(constB138, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB137, bitIndex2) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex2))))),
% 73.47/46.32 inference(monotonicity,[status(thm)],[20071])).
% 73.47/46.32 tff(20073,plain,
% 73.47/46.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v90(constB137, bitIndex2) | v100(constB138) | (~v90(constB138, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB137, bitIndex2) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex2)))),
% 73.47/46.32 inference(transitivity,[status(thm)],[20072, 20070])).
% 73.47/46.32 tff(20074,plain,
% 73.47/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v90(constB137, bitIndex2) | v100(constB138) | (~v90(constB138, bitIndex2)))),
% 73.47/46.32 inference(quant_inst,[status(thm)],[])).
% 73.47/46.32 tff(20075,plain,
% 73.47/46.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB137, bitIndex2) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, bitIndex2))),
% 73.47/46.32 inference(modus_ponens,[status(thm)],[20074, 20073])).
% 73.47/46.32 tff(20076,plain,
% 73.47/46.32 (v90(constB137, bitIndex2) | v100(constB138) | (~v90(constB138, bitIndex2))),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[20075, 88, 20021])).
% 73.47/46.32 tff(20077,plain,
% 73.47/46.32 (v90(constB137, bitIndex2)),
% 73.47/46.32 inference(unit_resolution,[status(thm)],[20076, 20061, 20059])).
% 73.47/46.32 tff(20078,plain,
% 73.47/46.32 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | (~v90(constB137, bitIndex2)) | v125(constB137))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | (~v90(constB137, bitIndex2)) | v125(constB137))),
% 73.47/46.32 inference(rewrite,[status(thm)],[])).
% 73.47/46.32 tff(20079,plain,
% 73.47/46.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | (~v90(constB137, bitIndex2)) | v125(constB137))),
% 73.47/46.32 inference(quant_inst,[status(thm)],[])).
% 73.47/46.32 tff(20080,plain,
% 73.47/46.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)) | (~v90(constB137, bitIndex2)) | v125(constB137)),
% 73.47/46.32 inference(modus_ponens,[status(thm)],[20079, 20078])).
% 73.47/46.33 tff(20081,plain,
% 73.47/46.33 ((~v90(constB137, bitIndex1)) | (~v90(constB137, bitIndex2)) | v125(constB137)),
% 73.47/46.33 inference(unit_resolution,[status(thm)],[20080, 2036, 20060])).
% 73.47/46.33 tff(20082,plain,
% 73.47/46.33 (v125(constB137)),
% 73.47/46.33 inference(unit_resolution,[status(thm)],[20081, 20077, 20069])).
% 73.47/46.33 tff(20083,plain,
% 73.47/46.33 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB137) | (~v125(constB137)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB137) | (~v125(constB137)))),
% 73.47/46.33 inference(rewrite,[status(thm)],[])).
% 73.47/46.33 tff(20084,plain,
% 73.47/46.33 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB137) | (~v125(constB137)))),
% 73.47/46.33 inference(quant_inst,[status(thm)],[])).
% 73.47/46.33 tff(20085,plain,
% 73.47/46.33 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB137) | (~v125(constB137))),
% 73.47/46.33 inference(modus_ponens,[status(thm)],[20084, 20083])).
% 73.47/46.33 tff(20086,plain,
% 73.47/46.33 (v113(constB137)),
% 73.47/46.33 inference(unit_resolution,[status(thm)],[20085, 2047, 20082])).
% 73.47/46.33 tff(20087,plain,
% 73.47/46.33 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))),
% 73.47/46.33 inference(rewrite,[status(thm)],[])).
% 73.47/46.33 tff(20088,plain,
% 73.47/46.33 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))),
% 73.47/46.33 inference(quant_inst,[status(thm)],[])).
% 73.47/46.33 tff(20089,plain,
% 73.47/46.33 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138))),
% 73.47/46.33 inference(modus_ponens,[status(thm)],[20088, 20087])).
% 73.47/46.33 tff(20090,plain,
% 73.47/46.33 (~v104(constB138)),
% 73.47/46.33 inference(unit_resolution,[status(thm)],[20089, 335, 20021, 19795])).
% 73.47/46.33 tff(20091,plain,
% 73.47/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))),
% 73.47/46.33 inference(rewrite,[status(thm)],[])).
% 73.47/46.33 tff(20092,plain,
% 73.47/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))),
% 73.47/46.33 inference(quant_inst,[status(thm)],[])).
% 73.47/46.33 tff(20093,plain,
% 73.47/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v102(constB138) | v104(constB138)),
% 73.47/46.33 inference(modus_ponens,[status(thm)],[20092, 20091])).
% 73.47/46.33 tff(20094,plain,
% 73.47/46.33 (v102(constB138) | v104(constB138)),
% 73.47/46.33 inference(unit_resolution,[status(thm)],[20093, 349, 20021])).
% 73.47/46.33 tff(20095,plain,
% 73.47/46.33 (v102(constB138)),
% 73.47/46.33 inference(unit_resolution,[status(thm)],[20094, 20090])).
% 73.47/46.33 tff(20096,plain,
% 73.47/46.33 (v1(constB138) <=> v1(constB138)),
% 73.47/46.33 inference(rewrite,[status(thm)],[])).
% 73.47/46.33 tff(20097,axiom,(v1(constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_138_1')).
% 73.47/46.33 tff(20098,plain,
% 73.47/46.33 (v1(constB138)),
% 73.47/46.33 inference(modus_ponens,[status(thm)],[20097, 20096])).
% 73.47/46.33 tff(20099,plain,
% 73.47/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))),
% 73.47/46.33 inference(rewrite,[status(thm)],[])).
% 73.47/46.33 tff(20100,plain,
% 73.47/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))),
% 73.47/46.33 inference(quant_inst,[status(thm)],[])).
% 73.47/46.33 tff(20101,plain,
% 73.47/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138))),
% 73.47/46.33 inference(modus_ponens,[status(thm)],[20100, 20099])).
% 73.47/46.33 tff(20102,plain,
% 73.47/46.33 (v101(constB138) | (~v102(constB138))),
% 73.47/46.33 inference(unit_resolution,[status(thm)],[20101, 367, 20021, 20098])).
% 73.47/46.33 tff(20103,plain,
% 73.47/46.33 (v101(constB138)),
% 73.47/46.33 inference(unit_resolution,[status(thm)],[20102, 20095])).
% 73.47/46.33 tff(20104,plain,
% 73.47/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 73.47/46.33 inference(rewrite,[status(thm)],[])).
% 73.47/46.33 tff(20105,plain,
% 73.47/46.33 (((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138)) <=> ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 73.47/46.33 inference(rewrite,[status(thm)],[])).
% 73.47/46.33 tff(20106,plain,
% 73.47/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138))))),
% 73.47/46.33 inference(monotonicity,[status(thm)],[20105])).
% 73.47/46.33 tff(20107,plain,
% 73.47/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 73.47/46.33 inference(transitivity,[status(thm)],[20106, 20104])).
% 73.47/46.33 tff(20108,plain,
% 73.47/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))),
% 73.47/46.33 inference(quant_inst,[status(thm)],[])).
% 73.47/46.33 tff(20109,plain,
% 73.47/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138))),
% 73.47/46.33 inference(modus_ponens,[status(thm)],[20108, 20107])).
% 73.47/46.33 tff(20110,plain,
% 73.47/46.33 (v100(constB138) | (~v101(constB138)) | (~v110(constB138))),
% 73.47/46.33 inference(unit_resolution,[status(thm)],[20109, 382, 20021])).
% 73.47/46.33 tff(20111,plain,
% 73.47/46.33 (v100(constB138) | (~v110(constB138))),
% 73.47/46.33 inference(unit_resolution,[status(thm)],[20110, 20103])).
% 73.47/46.33 tff(20112,plain,
% 73.47/46.33 (~v110(constB138)),
% 73.47/46.33 inference(unit_resolution,[status(thm)],[20111, 20061])).
% 73.47/46.33 tff(20113,plain,
% 73.47/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 73.47/46.33 inference(rewrite,[status(thm)],[])).
% 73.47/46.33 tff(20114,plain,
% 73.47/46.33 (((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138)) <=> ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 73.47/46.33 inference(rewrite,[status(thm)],[])).
% 73.47/46.33 tff(20115,plain,
% 73.47/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137))))),
% 73.47/46.33 inference(monotonicity,[status(thm)],[20114])).
% 73.47/46.33 tff(20116,plain,
% 73.47/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 73.47/46.33 inference(transitivity,[status(thm)],[20115, 20113])).
% 73.47/46.33 tff(20117,plain,
% 73.47/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))),
% 73.47/46.33 inference(quant_inst,[status(thm)],[])).
% 73.47/46.33 tff(20118,plain,
% 73.47/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137))),
% 73.47/46.33 inference(modus_ponens,[status(thm)],[20117, 20116])).
% 73.47/46.33 tff(20119,plain,
% 73.47/46.33 (v110(constB138) | (~v108(constB137))),
% 73.47/46.33 inference(unit_resolution,[status(thm)],[20118, 317, 20021])).
% 73.47/46.33 tff(20120,plain,
% 73.47/46.33 (~v108(constB137)),
% 73.47/46.33 inference(unit_resolution,[status(thm)],[20119, 20112])).
% 73.47/46.33 tff(20121,plain,
% 73.47/46.33 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB137) | (~v112(constB137)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB137) | (~v112(constB137)))),
% 73.47/46.33 inference(rewrite,[status(thm)],[])).
% 73.47/46.33 tff(20122,plain,
% 73.47/46.33 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB137) | (~v112(constB137)))),
% 73.47/46.33 inference(quant_inst,[status(thm)],[])).
% 73.47/46.33 tff(20123,plain,
% 73.47/46.33 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB137) | (~v112(constB137))),
% 73.47/46.33 inference(modus_ponens,[status(thm)],[20122, 20121])).
% 73.47/46.33 tff(20124,plain,
% 73.47/46.33 (~v112(constB137)),
% 73.47/46.33 inference(unit_resolution,[status(thm)],[20123, 210, 20120])).
% 73.47/46.33 tff(20125,plain,
% 73.47/46.33 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | (~v113(constB137)) | v112(constB137))),
% 73.47/46.33 inference(rewrite,[status(thm)],[])).
% 73.47/46.33 tff(20126,plain,
% 73.47/46.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))),
% 73.47/46.33 inference(quant_inst,[status(thm)],[])).
% 73.47/46.33 tff(20127,plain,
% 73.47/46.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | (~v113(constB137)) | v112(constB137)),
% 73.47/46.33 inference(modus_ponens,[status(thm)],[20126, 20125])).
% 73.47/46.33 tff(20128,plain,
% 73.47/46.33 ((~v113(constB137)) | v112(constB137)),
% 73.47/46.33 inference(unit_resolution,[status(thm)],[20127, 301, 20046])).
% 73.47/46.33 tff(20129,plain,
% 73.47/46.33 ($false),
% 73.47/46.33 inference(unit_resolution,[status(thm)],[20128, 20124, 20086])).
% 73.47/46.33 tff(20130,plain,(v100(constB138) | v90(constB137, bitIndex0) | (~v90(constB138, bitIndex2)) | (~v90(constB138, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 73.47/46.33 tff(20131,plain,
% 73.47/46.33 (v100(constB138)),
% 73.47/46.33 inference(unit_resolution,[status(thm)],[20130, 20060, 20059, 20058])).
% 73.47/46.33 tff(20132,plain,
% 73.47/46.33 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))),
% 73.47/46.33 inference(rewrite,[status(thm)],[])).
% 73.47/46.33 tff(20133,plain,
% 73.47/46.33 (((~v90(constB138, bitIndex2)) | (~v100(constB138)) | v129(constB138, bitIndex2)) <=> ((~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))),
% 73.47/46.33 inference(rewrite,[status(thm)],[])).
% 73.47/46.33 tff(20134,plain,
% 73.47/46.33 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB138, bitIndex2)) | (~v100(constB138)) | v129(constB138, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138))))),
% 73.47/46.33 inference(monotonicity,[status(thm)],[20133])).
% 73.47/46.33 tff(20135,plain,
% 73.47/46.33 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB138, bitIndex2)) | (~v100(constB138)) | v129(constB138, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))),
% 73.47/46.33 inference(transitivity,[status(thm)],[20134, 20132])).
% 73.47/46.33 tff(20136,plain,
% 73.47/46.33 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB138, bitIndex2)) | (~v100(constB138)) | v129(constB138, bitIndex2))),
% 73.47/46.33 inference(quant_inst,[status(thm)],[])).
% 73.47/46.33 tff(20137,plain,
% 73.47/46.33 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138))),
% 73.47/46.33 inference(modus_ponens,[status(thm)],[20136, 20135])).
% 73.47/46.33 tff(20138,plain,
% 73.47/46.33 (v129(constB138, bitIndex2) | (~v100(constB138))),
% 73.47/46.33 inference(unit_resolution,[status(thm)],[20137, 503, 20059])).
% 73.47/46.33 tff(20139,plain,
% 73.47/46.33 (v129(constB138, bitIndex2)),
% 73.47/46.33 inference(unit_resolution,[status(thm)],[20138, 20131])).
% 73.47/46.33 tff(20140,plain,
% 73.47/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2)))),
% 73.47/46.33 inference(rewrite,[status(thm)],[])).
% 73.47/46.33 tff(20141,plain,
% 73.47/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2)))),
% 73.47/46.33 inference(quant_inst,[status(thm)],[])).
% 73.47/46.33 tff(20142,plain,
% 73.47/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2))),
% 73.47/46.33 inference(modus_ponens,[status(thm)],[20141, 20140])).
% 73.47/46.33 tff(20143,plain,
% 73.47/46.33 (v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2))),
% 73.47/46.33 inference(unit_resolution,[status(thm)],[20142, 488, 20021])).
% 73.47/46.33 tff(20144,plain,
% 73.47/46.33 (v127(constB137, bitIndex2)),
% 73.47/46.33 inference(unit_resolution,[status(thm)],[20143, 20139])).
% 73.47/46.33 tff(20145,plain,
% 73.47/46.33 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))),
% 73.47/46.33 inference(rewrite,[status(thm)],[])).
% 73.47/46.33 tff(20146,plain,
% 73.47/46.33 ((v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2))) <=> ((~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))),
% 73.47/46.33 inference(rewrite,[status(thm)],[])).
% 73.47/46.33 tff(20147,plain,
% 73.47/46.33 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2)))),
% 73.47/46.33 inference(monotonicity,[status(thm)],[20146])).
% 73.47/46.33 tff(20148,plain,
% 73.47/46.33 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))),
% 73.47/46.33 inference(transitivity,[status(thm)],[20147, 20145])).
% 73.47/46.33 tff(20149,plain,
% 73.47/46.33 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2)))),
% 73.47/46.33 inference(quant_inst,[status(thm)],[])).
% 73.47/46.33 tff(20150,plain,
% 73.47/46.33 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2)),
% 73.47/46.33 inference(modus_ponens,[status(thm)],[20149, 20148])).
% 73.47/46.33 tff(20151,plain,
% 73.47/46.33 ((~v127(constB137, bitIndex2)) | v130(constB137, bitIndex2)),
% 73.47/46.33 inference(unit_resolution,[status(thm)],[20150, 470, 20046])).
% 73.47/46.33 tff(20152,plain,
% 73.47/46.33 (v130(constB137, bitIndex2)),
% 73.47/46.33 inference(unit_resolution,[status(thm)],[20151, 20144])).
% 73.47/46.33 tff(20153,plain,
% 73.47/46.33 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB137)) | (~v130(constB137, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB137)) | (~v130(constB137, bitIndex2)))),
% 73.47/46.33 inference(rewrite,[status(thm)],[])).
% 73.47/46.33 tff(20154,plain,
% 73.47/46.33 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB137)) | (~v130(constB137, bitIndex2)))),
% 73.47/46.33 inference(quant_inst,[status(thm)],[])).
% 73.47/46.33 tff(20155,plain,
% 73.47/46.33 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB137)) | (~v130(constB137, bitIndex2))),
% 73.47/46.33 inference(modus_ponens,[status(thm)],[20154, 20153])).
% 73.47/46.33 tff(20156,plain,
% 73.47/46.33 (~v121(constB137)),
% 73.47/46.33 inference(unit_resolution,[status(thm)],[20155, 1059, 20152])).
% 73.47/46.33 tff(20157,plain,
% 73.47/46.33 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB138, bitIndex1)) | v129(constB138, bitIndex1) | (~v100(constB138)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | v129(constB138, bitIndex1) | (~v100(constB138)))),
% 73.47/46.33 inference(rewrite,[status(thm)],[])).
% 73.47/46.33 tff(20158,plain,
% 73.47/46.33 (((~v90(constB138, bitIndex1)) | (~v100(constB138)) | v129(constB138, bitIndex1)) <=> ((~v90(constB138, bitIndex1)) | v129(constB138, bitIndex1) | (~v100(constB138)))),
% 73.47/46.33 inference(rewrite,[status(thm)],[])).
% 73.47/46.33 tff(20159,plain,
% 73.47/46.33 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB138, bitIndex1)) | (~v100(constB138)) | v129(constB138, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB138, bitIndex1)) | v129(constB138, bitIndex1) | (~v100(constB138))))),
% 73.47/46.33 inference(monotonicity,[status(thm)],[20158])).
% 73.47/46.33 tff(20160,plain,
% 73.47/46.33 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB138, bitIndex1)) | (~v100(constB138)) | v129(constB138, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | v129(constB138, bitIndex1) | (~v100(constB138)))),
% 73.47/46.33 inference(transitivity,[status(thm)],[20159, 20157])).
% 73.47/46.33 tff(20161,plain,
% 73.47/46.33 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB138, bitIndex1)) | (~v100(constB138)) | v129(constB138, bitIndex1))),
% 73.47/46.33 inference(quant_inst,[status(thm)],[])).
% 73.47/46.33 tff(20162,plain,
% 73.47/46.33 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | v129(constB138, bitIndex1) | (~v100(constB138))),
% 73.50/46.33 inference(modus_ponens,[status(thm)],[20161, 20160])).
% 73.50/46.33 tff(20163,plain,
% 73.50/46.33 (v129(constB138, bitIndex1) | (~v100(constB138))),
% 73.50/46.33 inference(unit_resolution,[status(thm)],[20162, 603, 20058])).
% 73.50/46.33 tff(20164,plain,
% 73.50/46.33 (v129(constB138, bitIndex1)),
% 73.50/46.33 inference(unit_resolution,[status(thm)],[20163, 20131])).
% 73.50/46.33 tff(20165,plain,
% 73.50/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex1) | (~v129(constB138, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex1) | (~v129(constB138, bitIndex1)))),
% 73.50/46.33 inference(rewrite,[status(thm)],[])).
% 73.50/46.33 tff(20166,plain,
% 73.50/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex1) | (~v129(constB138, bitIndex1)))),
% 73.50/46.33 inference(quant_inst,[status(thm)],[])).
% 73.50/46.33 tff(20167,plain,
% 73.50/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex1) | (~v129(constB138, bitIndex1))),
% 73.50/46.33 inference(modus_ponens,[status(thm)],[20166, 20165])).
% 73.50/46.33 tff(20168,plain,
% 73.50/46.33 (v127(constB137, bitIndex1) | (~v129(constB138, bitIndex1))),
% 73.50/46.33 inference(unit_resolution,[status(thm)],[20167, 588, 20021])).
% 73.50/46.33 tff(20169,plain,
% 73.50/46.33 (v127(constB137, bitIndex1)),
% 73.50/46.33 inference(unit_resolution,[status(thm)],[20168, 20164])).
% 73.50/46.33 tff(20170,plain,
% 73.50/46.33 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB137, bitIndex1)) | v26(constB137) | v130(constB137, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB137, bitIndex1)) | v26(constB137) | v130(constB137, bitIndex1))),
% 73.50/46.33 inference(rewrite,[status(thm)],[])).
% 73.50/46.33 tff(20171,plain,
% 73.50/46.33 ((v26(constB137) | v130(constB137, bitIndex1) | (~v127(constB137, bitIndex1))) <=> ((~v127(constB137, bitIndex1)) | v26(constB137) | v130(constB137, bitIndex1))),
% 73.50/46.33 inference(rewrite,[status(thm)],[])).
% 73.50/46.33 tff(20172,plain,
% 73.50/46.33 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB137) | v130(constB137, bitIndex1) | (~v127(constB137, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB137, bitIndex1)) | v26(constB137) | v130(constB137, bitIndex1)))),
% 73.50/46.33 inference(monotonicity,[status(thm)],[20171])).
% 73.50/46.33 tff(20173,plain,
% 73.50/46.33 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB137) | v130(constB137, bitIndex1) | (~v127(constB137, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB137, bitIndex1)) | v26(constB137) | v130(constB137, bitIndex1))),
% 73.50/46.33 inference(transitivity,[status(thm)],[20172, 20170])).
% 73.50/46.33 tff(20174,plain,
% 73.50/46.33 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB137) | v130(constB137, bitIndex1) | (~v127(constB137, bitIndex1)))),
% 73.50/46.33 inference(quant_inst,[status(thm)],[])).
% 73.50/46.33 tff(20175,plain,
% 73.50/46.33 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB137, bitIndex1)) | v26(constB137) | v130(constB137, bitIndex1)),
% 73.50/46.33 inference(modus_ponens,[status(thm)],[20174, 20173])).
% 73.50/46.33 tff(20176,plain,
% 73.50/46.33 ((~v127(constB137, bitIndex1)) | v130(constB137, bitIndex1)),
% 73.50/46.33 inference(unit_resolution,[status(thm)],[20175, 555, 20046])).
% 73.50/46.33 tff(20177,plain,
% 73.50/46.33 (v130(constB137, bitIndex1)),
% 73.50/46.33 inference(unit_resolution,[status(thm)],[20176, 20169])).
% 73.50/46.33 tff(20178,plain,
% 73.50/46.33 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB137)) | (~v130(constB137, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB137)) | (~v130(constB137, bitIndex1)))),
% 73.50/46.33 inference(rewrite,[status(thm)],[])).
% 73.50/46.33 tff(20179,plain,
% 73.50/46.33 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB137)) | (~v130(constB137, bitIndex1)))),
% 73.50/46.33 inference(quant_inst,[status(thm)],[])).
% 73.50/46.33 tff(20180,plain,
% 73.50/46.33 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB137)) | (~v130(constB137, bitIndex1))),
% 73.50/46.33 inference(modus_ponens,[status(thm)],[20179, 20178])).
% 73.50/46.33 tff(20181,plain,
% 73.50/46.33 (~v123(constB137)),
% 73.50/46.33 inference(unit_resolution,[status(thm)],[20180, 1622, 20177])).
% 73.50/46.33 tff(20182,plain,
% 73.50/46.33 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB137)) | (~v130(constB137, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB137)) | (~v130(constB137, bitIndex1)))),
% 73.50/46.33 inference(rewrite,[status(thm)],[])).
% 73.50/46.33 tff(20183,plain,
% 73.50/46.33 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB137)) | (~v130(constB137, bitIndex1)))),
% 73.50/46.33 inference(quant_inst,[status(thm)],[])).
% 73.50/46.33 tff(20184,plain,
% 73.50/46.33 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB137)) | (~v130(constB137, bitIndex1))),
% 73.50/46.33 inference(modus_ponens,[status(thm)],[20183, 20182])).
% 73.50/46.33 tff(20185,plain,
% 73.50/46.33 (~v119(constB137)),
% 73.50/46.33 inference(unit_resolution,[status(thm)],[20184, 541, 20177])).
% 73.50/46.33 tff(20186,plain,
% 73.50/46.33 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB137, bitIndex0) | (~v120(constB137)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB137, bitIndex0) | (~v120(constB137)))),
% 73.50/46.33 inference(rewrite,[status(thm)],[])).
% 73.50/46.33 tff(20187,plain,
% 73.50/46.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB137, bitIndex0) | (~v120(constB137)))),
% 73.50/46.33 inference(quant_inst,[status(thm)],[])).
% 73.50/46.33 tff(20188,plain,
% 73.50/46.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB137, bitIndex0) | (~v120(constB137))),
% 73.50/46.33 inference(modus_ponens,[status(thm)],[20187, 20186])).
% 73.50/46.33 tff(20189,plain,
% 73.50/46.33 (~v120(constB137)),
% 73.50/46.33 inference(unit_resolution,[status(thm)],[20188, 3723, 20060])).
% 73.50/46.33 tff(20190,plain,
% 73.50/46.33 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB137, bitIndex0) | (~v122(constB137)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB137, bitIndex0) | (~v122(constB137)))),
% 73.50/46.33 inference(rewrite,[status(thm)],[])).
% 73.50/46.33 tff(20191,plain,
% 73.50/46.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB137, bitIndex0) | (~v122(constB137)))),
% 73.50/46.33 inference(quant_inst,[status(thm)],[])).
% 73.50/46.33 tff(20192,plain,
% 73.50/46.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB137, bitIndex0) | (~v122(constB137))),
% 73.50/46.33 inference(modus_ponens,[status(thm)],[20191, 20190])).
% 73.50/46.33 tff(20193,plain,
% 73.50/46.33 (~v122(constB137)),
% 73.50/46.33 inference(unit_resolution,[status(thm)],[20192, 3734, 20060])).
% 73.50/46.33 tff(20194,plain,
% 73.50/46.33 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB137, bitIndex0) | (~v124(constB137)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB137, bitIndex0) | (~v124(constB137)))),
% 73.50/46.33 inference(rewrite,[status(thm)],[])).
% 73.50/46.33 tff(20195,plain,
% 73.50/46.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB137, bitIndex0) | (~v124(constB137)))),
% 73.50/46.33 inference(quant_inst,[status(thm)],[])).
% 73.50/46.33 tff(20196,plain,
% 73.50/46.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB137, bitIndex0) | (~v124(constB137))),
% 73.50/46.33 inference(modus_ponens,[status(thm)],[20195, 20194])).
% 73.50/46.33 tff(20197,plain,
% 73.50/46.33 (~v124(constB137)),
% 73.50/46.33 inference(unit_resolution,[status(thm)],[20196, 3745, 20060])).
% 73.50/46.33 tff(20198,plain,
% 73.50/46.33 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB137) | v123(constB137) | v122(constB137) | v121(constB137) | v120(constB137) | v119(constB137) | (~v130(constB137, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB137) | v123(constB137) | v122(constB137) | v121(constB137) | v120(constB137) | v119(constB137) | (~v130(constB137, bitIndex1)))),
% 73.50/46.33 inference(rewrite,[status(thm)],[])).
% 73.50/46.33 tff(20199,plain,
% 73.50/46.33 ((v120(constB137) | v119(constB137) | v121(constB137) | v122(constB137) | v123(constB137) | v124(constB137) | (~v130(constB137, bitIndex1))) <=> (v124(constB137) | v123(constB137) | v122(constB137) | v121(constB137) | v120(constB137) | v119(constB137) | (~v130(constB137, bitIndex1)))),
% 73.50/46.33 inference(rewrite,[status(thm)],[])).
% 73.50/46.33 tff(20200,plain,
% 73.50/46.33 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB137) | v119(constB137) | v121(constB137) | v122(constB137) | v123(constB137) | v124(constB137) | (~v130(constB137, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB137) | v123(constB137) | v122(constB137) | v121(constB137) | v120(constB137) | v119(constB137) | (~v130(constB137, bitIndex1))))),
% 73.50/46.33 inference(monotonicity,[status(thm)],[20199])).
% 73.50/46.33 tff(20201,plain,
% 73.50/46.33 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB137) | v119(constB137) | v121(constB137) | v122(constB137) | v123(constB137) | v124(constB137) | (~v130(constB137, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB137) | v123(constB137) | v122(constB137) | v121(constB137) | v120(constB137) | v119(constB137) | (~v130(constB137, bitIndex1)))),
% 73.50/46.33 inference(transitivity,[status(thm)],[20200, 20198])).
% 73.50/46.33 tff(20202,plain,
% 73.50/46.33 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB137) | v119(constB137) | v121(constB137) | v122(constB137) | v123(constB137) | v124(constB137) | (~v130(constB137, bitIndex1)))),
% 73.50/46.33 inference(quant_inst,[status(thm)],[])).
% 73.50/46.33 tff(20203,plain,
% 73.50/46.33 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB137) | v123(constB137) | v122(constB137) | v121(constB137) | v120(constB137) | v119(constB137) | (~v130(constB137, bitIndex1))),
% 73.50/46.33 inference(modus_ponens,[status(thm)],[20202, 20201])).
% 73.50/46.33 tff(20204,plain,
% 73.50/46.33 (v123(constB137) | v121(constB137) | v119(constB137) | (~v130(constB137, bitIndex1))),
% 73.50/46.33 inference(unit_resolution,[status(thm)],[20203, 2146, 20197, 20193, 20189])).
% 73.50/46.33 tff(20205,plain,
% 73.50/46.33 ($false),
% 73.50/46.33 inference(unit_resolution,[status(thm)],[20204, 20185, 20181, 20177, 20156])).
% 73.50/46.33 tff(20206,plain,(v90(constB137, bitIndex0) | (~v90(constB138, bitIndex2)) | (~v90(constB138, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 73.50/46.33 tff(20207,plain,
% 73.50/46.33 (~v90(constB138, bitIndex2)),
% 73.50/46.33 inference(unit_resolution,[status(thm)],[20206, 20057, 19819])).
% 73.50/46.33 tff(20208,plain,
% 73.50/46.33 ((~v1(constB139)) <=> (~v1(constB139))),
% 73.50/46.33 inference(rewrite,[status(thm)],[])).
% 73.50/46.33 tff(20209,axiom,(~v1(constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_139_1_1')).
% 73.50/46.33 tff(20210,plain,
% 73.50/46.33 (~v1(constB139)),
% 73.50/46.33 inference(modus_ponens,[status(thm)],[20209, 20208])).
% 73.50/46.33 tff(20211,plain,
% 73.50/46.33 (nextState(constB138, constB139) <=> nextState(constB138, constB139)),
% 73.50/46.33 inference(rewrite,[status(thm)],[])).
% 73.50/46.33 tff(20212,axiom,(nextState(constB138, constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_138_1')).
% 73.50/46.33 tff(20213,plain,
% 73.50/46.33 (nextState(constB138, constB139)),
% 73.50/46.33 inference(modus_ponens,[status(thm)],[20212, 20211])).
% 73.50/46.33 tff(20214,plain,
% 73.50/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 73.50/46.33 inference(rewrite,[status(thm)],[])).
% 73.50/46.33 tff(20215,plain,
% 73.50/46.33 (((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139)) <=> (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 73.50/46.33 inference(rewrite,[status(thm)],[])).
% 73.50/46.33 tff(20216,plain,
% 73.50/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139))))),
% 73.50/46.33 inference(monotonicity,[status(thm)],[20215])).
% 73.50/46.33 tff(20217,plain,
% 73.50/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 73.50/46.33 inference(transitivity,[status(thm)],[20216, 20214])).
% 73.50/46.33 tff(20218,plain,
% 73.50/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))),
% 73.50/46.33 inference(quant_inst,[status(thm)],[])).
% 73.50/46.33 tff(20219,plain,
% 73.50/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139))),
% 73.50/46.33 inference(modus_ponens,[status(thm)],[20218, 20217])).
% 73.50/46.33 tff(20220,plain,
% 73.50/46.33 (~v101(constB139)),
% 73.50/46.33 inference(unit_resolution,[status(thm)],[20219, 56, 20213, 20210])).
% 73.50/46.33 tff(20221,plain,
% 73.50/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))),
% 73.50/46.33 inference(rewrite,[status(thm)],[])).
% 73.50/46.33 tff(20222,plain,
% 73.50/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))),
% 73.50/46.33 inference(quant_inst,[status(thm)],[])).
% 73.50/46.33 tff(20223,plain,
% 73.50/46.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139))),
% 73.50/46.33 inference(modus_ponens,[status(thm)],[20222, 20221])).
% 73.50/46.33 tff(20224,plain,
% 73.50/46.33 (v101(constB139) | (~v100(constB139))),
% 73.50/46.33 inference(unit_resolution,[status(thm)],[20223, 73, 20213])).
% 73.50/46.33 tff(20225,plain,
% 73.50/46.33 (~v100(constB139)),
% 73.50/46.33 inference(unit_resolution,[status(thm)],[20224, 20220])).
% 73.50/46.33 tff(20226,plain,
% 73.50/46.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 73.50/46.33 inference(rewrite,[status(thm)],[])).
% 73.50/46.33 tff(20227,plain,
% 73.50/46.33 (((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2))) <=> (v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20228,plain,
% 73.50/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2))))),
% 73.50/46.34 inference(monotonicity,[status(thm)],[20227])).
% 73.50/46.34 tff(20229,plain,
% 73.50/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 73.50/46.34 inference(transitivity,[status(thm)],[20228, 20226])).
% 73.50/46.34 tff(20230,plain,
% 73.50/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 73.50/46.34 inference(quant_inst,[status(thm)],[])).
% 73.50/46.34 tff(20231,plain,
% 73.50/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2))),
% 73.50/46.34 inference(modus_ponens,[status(thm)],[20230, 20229])).
% 73.50/46.34 tff(20232,plain,
% 73.50/46.34 (v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2))),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20231, 88, 20213])).
% 73.50/46.34 tff(20233,plain,
% 73.50/46.34 (v90(constB138, bitIndex2) | (~v90(constB139, bitIndex2))),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20232, 20225])).
% 73.50/46.34 tff(20234,plain,
% 73.50/46.34 (~v90(constB139, bitIndex2)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20233, 20207])).
% 73.50/46.34 tff(20235,plain,
% 73.50/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20236,plain,
% 73.50/46.34 (((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1)) <=> ((~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20237,plain,
% 73.50/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1)))),
% 73.50/46.34 inference(monotonicity,[status(thm)],[20236])).
% 73.50/46.34 tff(20238,plain,
% 73.50/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))),
% 73.50/46.34 inference(transitivity,[status(thm)],[20237, 20235])).
% 73.50/46.34 tff(20239,plain,
% 73.50/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1))),
% 73.50/46.34 inference(quant_inst,[status(thm)],[])).
% 73.50/46.34 tff(20240,plain,
% 73.50/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1)),
% 73.50/46.34 inference(modus_ponens,[status(thm)],[20239, 20238])).
% 73.50/46.34 tff(20241,plain,
% 73.50/46.34 ((~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20240, 872, 20213])).
% 73.50/46.34 tff(20242,plain,
% 73.50/46.34 ((~v90(constB138, bitIndex1)) | v90(constB139, bitIndex1)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20241, 20225])).
% 73.50/46.34 tff(20243,plain,
% 73.50/46.34 (v90(constB139, bitIndex1)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20242, 20057])).
% 73.50/46.34 tff(20244,plain,
% 73.50/46.34 (v130(constB135, bitIndex1)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[19983, 810, 19681])).
% 73.50/46.34 tff(20245,plain,
% 73.50/46.34 (v127(constB135, bitIndex1)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[19988, 20244])).
% 73.50/46.34 tff(20246,plain,
% 73.50/46.34 (v129(constB136, bitIndex1)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[19993, 20245])).
% 73.50/46.34 tff(20247,plain,
% 73.50/46.34 (v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1))),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20000, 854, 19860])).
% 73.50/46.34 tff(20248,plain,
% 73.50/46.34 (v90(constB136, bitIndex1)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20247, 20246])).
% 73.50/46.34 tff(20249,plain,
% 73.50/46.34 (v90(constB137, bitIndex1)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20010, 20248])).
% 73.50/46.34 tff(20250,plain,
% 73.50/46.34 (~v90(constB137, bitIndex2)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[19877, 19868])).
% 73.50/46.34 tff(20251,plain,
% 73.50/46.34 ((~v90(constB137, bitIndex1)) | v90(constB137, bitIndex2) | v121(constB137)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20015, 965, 19819])).
% 73.50/46.34 tff(20252,plain,
% 73.50/46.34 (v121(constB137)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20251, 20250, 20249])).
% 73.50/46.34 tff(20253,assumption,(v121(constB137)), introduced(assumption)).
% 73.50/46.34 tff(20254,plain,
% 73.50/46.34 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB137)) | v130(constB137, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB137)) | v130(constB137, bitIndex0))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20255,plain,
% 73.50/46.34 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB137)) | v130(constB137, bitIndex0))),
% 73.50/46.34 inference(quant_inst,[status(thm)],[])).
% 73.50/46.34 tff(20256,plain,
% 73.50/46.34 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB137)) | v130(constB137, bitIndex0)),
% 73.50/46.34 inference(modus_ponens,[status(thm)],[20255, 20254])).
% 73.50/46.34 tff(20257,plain,
% 73.50/46.34 (v130(constB137, bitIndex0)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20256, 1162, 20253])).
% 73.50/46.34 tff(20258,plain,
% 73.50/46.34 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB137) | (~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB137) | (~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20259,plain,
% 73.50/46.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB137) | (~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0))),
% 73.50/46.34 inference(quant_inst,[status(thm)],[])).
% 73.50/46.34 tff(20260,plain,
% 73.50/46.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB137) | (~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0)),
% 73.50/46.34 inference(modus_ponens,[status(thm)],[20259, 20258])).
% 73.50/46.34 tff(20261,plain,
% 73.50/46.34 ((~v130(constB137, bitIndex0)) | v127(constB137, bitIndex0)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20260, 179, 20046])).
% 73.50/46.34 tff(20262,plain,
% 73.50/46.34 (v127(constB137, bitIndex0)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20261, 20257])).
% 73.50/46.34 tff(20263,plain,
% 73.50/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20264,plain,
% 73.50/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0))),
% 73.50/46.34 inference(quant_inst,[status(thm)],[])).
% 73.50/46.34 tff(20265,plain,
% 73.50/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0)),
% 73.50/46.34 inference(modus_ponens,[status(thm)],[20264, 20263])).
% 73.50/46.34 tff(20266,plain,
% 73.50/46.34 ((~v127(constB137, bitIndex0)) | v129(constB138, bitIndex0)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20265, 197, 20021])).
% 73.50/46.34 tff(20267,plain,
% 73.50/46.34 (v129(constB138, bitIndex0)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20266, 20262])).
% 73.50/46.34 tff(20268,assumption,(~v90(constB138, bitIndex0)), introduced(assumption)).
% 73.50/46.34 tff(20269,plain,
% 73.50/46.34 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138)))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20270,plain,
% 73.50/46.34 ((v90(constB138, bitIndex0) | (~v100(constB138)) | (~v129(constB138, bitIndex0))) <=> (v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138)))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20271,plain,
% 73.50/46.34 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~v100(constB138)) | (~v129(constB138, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138))))),
% 73.50/46.34 inference(monotonicity,[status(thm)],[20270])).
% 73.50/46.34 tff(20272,plain,
% 73.50/46.34 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~v100(constB138)) | (~v129(constB138, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138)))),
% 73.50/46.34 inference(transitivity,[status(thm)],[20271, 20269])).
% 73.50/46.34 tff(20273,plain,
% 73.50/46.34 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB138, bitIndex0) | (~v100(constB138)) | (~v129(constB138, bitIndex0)))),
% 73.50/46.34 inference(quant_inst,[status(thm)],[])).
% 73.50/46.34 tff(20274,plain,
% 73.50/46.34 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0)) | (~v100(constB138))),
% 73.50/46.34 inference(modus_ponens,[status(thm)],[20273, 20272])).
% 73.50/46.34 tff(20275,plain,
% 73.50/46.34 ((~v129(constB138, bitIndex0)) | (~v100(constB138))),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20274, 401, 20268])).
% 73.50/46.34 tff(20276,plain,
% 73.50/46.34 (~v100(constB138)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20275, 20267])).
% 73.50/46.34 tff(20277,plain,
% 73.50/46.34 (~v110(constB138)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20111, 20276])).
% 73.50/46.34 tff(20278,plain,
% 73.50/46.34 (~v108(constB137)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20119, 20277])).
% 73.50/46.34 tff(20279,plain,
% 73.50/46.34 (~v112(constB137)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20123, 210, 20278])).
% 73.50/46.34 tff(20280,plain,
% 73.50/46.34 (~v113(constB137)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20128, 20279])).
% 73.50/46.34 tff(20281,plain,
% 73.50/46.34 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB137) | (~v114(constB137)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB137) | (~v114(constB137)))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20282,plain,
% 73.50/46.34 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB137) | (~v114(constB137)))),
% 73.50/46.34 inference(quant_inst,[status(thm)],[])).
% 73.50/46.34 tff(20283,plain,
% 73.50/46.34 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB137) | (~v114(constB137))),
% 73.50/46.34 inference(modus_ponens,[status(thm)],[20282, 20281])).
% 73.50/46.34 tff(20284,plain,
% 73.50/46.34 (~v114(constB137)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20283, 287, 20280])).
% 73.50/46.34 tff(20285,plain,
% 73.50/46.34 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB137) | (~v121(constB137)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB137) | (~v121(constB137)))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20286,plain,
% 73.50/46.34 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB137) | (~v121(constB137)))),
% 73.50/46.34 inference(quant_inst,[status(thm)],[])).
% 73.50/46.34 tff(20287,plain,
% 73.50/46.34 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB137) | (~v121(constB137))),
% 73.50/46.34 inference(modus_ponens,[status(thm)],[20286, 20285])).
% 73.50/46.34 tff(20288,plain,
% 73.50/46.34 (v117(constB137)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20287, 976, 20253])).
% 73.50/46.34 tff(20289,plain,
% 73.50/46.34 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB137) | (~v117(constB137)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB137) | (~v117(constB137)))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20290,plain,
% 73.50/46.34 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB137) | (~v117(constB137)))),
% 73.50/46.34 inference(quant_inst,[status(thm)],[])).
% 73.50/46.34 tff(20291,plain,
% 73.50/46.34 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB137) | (~v117(constB137))),
% 73.50/46.34 inference(modus_ponens,[status(thm)],[20290, 20289])).
% 73.50/46.34 tff(20292,plain,
% 73.50/46.34 (v116(constB137)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20291, 254, 20288])).
% 73.50/46.34 tff(20293,plain,
% 73.50/46.34 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB137) | (~v116(constB137)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB137) | (~v116(constB137)))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20294,plain,
% 73.50/46.34 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB137) | (~v116(constB137)))),
% 73.50/46.34 inference(quant_inst,[status(thm)],[])).
% 73.50/46.34 tff(20295,plain,
% 73.50/46.34 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB137) | (~v116(constB137))),
% 73.50/46.34 inference(modus_ponens,[status(thm)],[20294, 20293])).
% 73.50/46.34 tff(20296,plain,
% 73.50/46.34 (v115(constB137)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20295, 265, 20292])).
% 73.50/46.34 tff(20297,plain,
% 73.50/46.34 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB137) | (~v115(constB137)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB137) | (~v115(constB137)))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20298,plain,
% 73.50/46.34 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB137) | (~v115(constB137)))),
% 73.50/46.34 inference(quant_inst,[status(thm)],[])).
% 73.50/46.34 tff(20299,plain,
% 73.50/46.34 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB137) | (~v115(constB137))),
% 73.50/46.34 inference(modus_ponens,[status(thm)],[20298, 20297])).
% 73.50/46.34 tff(20300,plain,
% 73.50/46.34 ($false),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20299, 276, 20296, 20284])).
% 73.50/46.34 tff(20301,plain,((~v121(constB137)) | v90(constB138, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.50/46.34 tff(20302,plain,
% 73.50/46.34 (v90(constB138, bitIndex0)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20301, 20252])).
% 73.50/46.34 tff(20303,plain,
% 73.50/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20304,plain,
% 73.50/46.34 (((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0)) <=> ((~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20305,plain,
% 73.50/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0)))),
% 73.50/46.34 inference(monotonicity,[status(thm)],[20304])).
% 73.50/46.34 tff(20306,plain,
% 73.50/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0))),
% 73.50/46.34 inference(transitivity,[status(thm)],[20305, 20303])).
% 73.50/46.34 tff(20307,plain,
% 73.50/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0))),
% 73.50/46.34 inference(quant_inst,[status(thm)],[])).
% 73.50/46.34 tff(20308,plain,
% 73.50/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex0)),
% 73.50/46.34 inference(modus_ponens,[status(thm)],[20307, 20306])).
% 73.50/46.34 tff(20309,plain,
% 73.50/46.34 ((~v90(constB138, bitIndex0)) | v100(constB139) | v90(constB139, bitIndex0)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20308, 437, 20213])).
% 73.50/46.34 tff(20310,plain,
% 73.50/46.34 ((~v90(constB138, bitIndex0)) | v90(constB139, bitIndex0)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20309, 20225])).
% 73.50/46.34 tff(20311,plain,
% 73.50/46.34 (v90(constB139, bitIndex0)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20310, 20302])).
% 73.50/46.34 tff(20312,plain,
% 73.50/46.34 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v122(constB139))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v122(constB139))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20313,plain,
% 73.50/46.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v122(constB139))),
% 73.50/46.34 inference(quant_inst,[status(thm)],[])).
% 73.50/46.34 tff(20314,plain,
% 73.50/46.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v122(constB139)),
% 73.50/46.34 inference(modus_ponens,[status(thm)],[20313, 20312])).
% 73.50/46.34 tff(20315,plain,
% 73.50/46.34 (v122(constB139)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20314, 1203, 20311, 20243, 20234])).
% 73.50/46.34 tff(20316,plain,
% 73.50/46.34 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB139)) | (~v130(constB139, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB139)) | (~v130(constB139, bitIndex1)))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20317,plain,
% 73.50/46.34 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB139)) | (~v130(constB139, bitIndex1)))),
% 73.50/46.34 inference(quant_inst,[status(thm)],[])).
% 73.50/46.34 tff(20318,plain,
% 73.50/46.34 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB139)) | (~v130(constB139, bitIndex1))),
% 73.50/46.34 inference(modus_ponens,[status(thm)],[20317, 20316])).
% 73.50/46.34 tff(20319,plain,
% 73.50/46.34 (~v130(constB139, bitIndex1)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20318, 1389, 20315])).
% 73.50/46.34 tff(20320,assumption,(v26(constB139)), introduced(assumption)).
% 73.50/46.34 tff(20321,plain,
% 73.50/46.34 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB139))),
% 73.50/46.34 inference(quant_inst,[status(thm)],[])).
% 73.50/46.34 tff(20322,plain,
% 73.50/46.34 ($false),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20321, 37, 20320])).
% 73.50/46.34 tff(20323,plain,(~v26(constB139)), inference(lemma,lemma(discharge,[]))).
% 73.50/46.34 tff(20324,plain,
% 73.50/46.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20325,plain,
% 73.50/46.34 ((v26(constB139) | v130(constB139, bitIndex1) | (~v127(constB139, bitIndex1))) <=> ((~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20326,plain,
% 73.50/46.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB139) | v130(constB139, bitIndex1) | (~v127(constB139, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1)))),
% 73.50/46.34 inference(monotonicity,[status(thm)],[20325])).
% 73.50/46.34 tff(20327,plain,
% 73.50/46.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB139) | v130(constB139, bitIndex1) | (~v127(constB139, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1))),
% 73.50/46.34 inference(transitivity,[status(thm)],[20326, 20324])).
% 73.50/46.34 tff(20328,plain,
% 73.50/46.34 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB139) | v130(constB139, bitIndex1) | (~v127(constB139, bitIndex1)))),
% 73.50/46.34 inference(quant_inst,[status(thm)],[])).
% 73.50/46.34 tff(20329,plain,
% 73.50/46.34 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB139, bitIndex1)) | v26(constB139) | v130(constB139, bitIndex1)),
% 73.50/46.34 inference(modus_ponens,[status(thm)],[20328, 20327])).
% 73.50/46.34 tff(20330,plain,
% 73.50/46.34 ((~v127(constB139, bitIndex1)) | v130(constB139, bitIndex1)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20329, 555, 20323])).
% 73.50/46.34 tff(20331,plain,
% 73.50/46.34 (~v127(constB139, bitIndex1)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20330, 20319])).
% 73.50/46.34 tff(20332,plain,
% 73.50/46.34 (nextState(constB139, constB140) <=> nextState(constB139, constB140)),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20333,axiom,(nextState(constB139, constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_139_1')).
% 73.50/46.34 tff(20334,plain,
% 73.50/46.34 (nextState(constB139, constB140)),
% 73.50/46.34 inference(modus_ponens,[status(thm)],[20333, 20332])).
% 73.50/46.34 tff(20335,plain,
% 73.50/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1)))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20336,plain,
% 73.50/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1)))),
% 73.50/46.34 inference(quant_inst,[status(thm)],[])).
% 73.50/46.34 tff(20337,plain,
% 73.50/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1))),
% 73.50/46.34 inference(modus_ponens,[status(thm)],[20336, 20335])).
% 73.50/46.34 tff(20338,plain,
% 73.50/46.34 (v127(constB139, bitIndex1) | (~v129(constB140, bitIndex1))),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20337, 588, 20334])).
% 73.50/46.34 tff(20339,plain,
% 73.50/46.34 (~v129(constB140, bitIndex1)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20338, 20331])).
% 73.50/46.34 tff(20340,assumption,(v122(constB139)), introduced(assumption)).
% 73.50/46.34 tff(20341,plain,
% 73.50/46.34 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB139)) | (~v130(constB139, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB139)) | (~v130(constB139, bitIndex0)))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20342,plain,
% 73.50/46.34 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB139)) | (~v130(constB139, bitIndex0)))),
% 73.50/46.34 inference(quant_inst,[status(thm)],[])).
% 73.50/46.34 tff(20343,plain,
% 73.50/46.34 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB139)) | (~v130(constB139, bitIndex0))),
% 73.50/46.34 inference(modus_ponens,[status(thm)],[20342, 20341])).
% 73.50/46.34 tff(20344,plain,
% 73.50/46.34 (~v130(constB139, bitIndex0)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20343, 1433, 20340])).
% 73.50/46.34 tff(20345,plain,
% 73.50/46.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20346,plain,
% 73.50/46.34 ((v26(constB139) | v130(constB139, bitIndex0) | (~v127(constB139, bitIndex0))) <=> ((~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20347,plain,
% 73.50/46.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB139) | v130(constB139, bitIndex0) | (~v127(constB139, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0)))),
% 73.50/46.34 inference(monotonicity,[status(thm)],[20346])).
% 73.50/46.34 tff(20348,plain,
% 73.50/46.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB139) | v130(constB139, bitIndex0) | (~v127(constB139, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0))),
% 73.50/46.34 inference(transitivity,[status(thm)],[20347, 20345])).
% 73.50/46.34 tff(20349,plain,
% 73.50/46.34 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB139) | v130(constB139, bitIndex0) | (~v127(constB139, bitIndex0)))),
% 73.50/46.34 inference(quant_inst,[status(thm)],[])).
% 73.50/46.34 tff(20350,plain,
% 73.50/46.34 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB139, bitIndex0)) | v26(constB139) | v130(constB139, bitIndex0)),
% 73.50/46.34 inference(modus_ponens,[status(thm)],[20349, 20348])).
% 73.50/46.34 tff(20351,plain,
% 73.50/46.34 ((~v127(constB139, bitIndex0)) | v130(constB139, bitIndex0)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20350, 905, 20323])).
% 73.50/46.34 tff(20352,plain,
% 73.50/46.34 (~v127(constB139, bitIndex0)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20351, 20344])).
% 73.50/46.34 tff(20353,plain,
% 73.50/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0)))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20354,plain,
% 73.50/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0)))),
% 73.50/46.34 inference(quant_inst,[status(thm)],[])).
% 73.50/46.34 tff(20355,plain,
% 73.50/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0))),
% 73.50/46.34 inference(modus_ponens,[status(thm)],[20354, 20353])).
% 73.50/46.34 tff(20356,plain,
% 73.50/46.34 (v127(constB139, bitIndex0) | (~v129(constB140, bitIndex0))),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20355, 923, 20334])).
% 73.50/46.34 tff(20357,plain,
% 73.50/46.34 (~v129(constB140, bitIndex0)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20356, 20352])).
% 73.50/46.34 tff(20358,assumption,(v90(constB140, bitIndex0)), introduced(assumption)).
% 73.50/46.34 tff(20359,plain,
% 73.50/46.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140)))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20360,plain,
% 73.50/46.34 (((~v90(constB140, bitIndex0)) | (~v100(constB140)) | v129(constB140, bitIndex0)) <=> ((~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140)))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20361,plain,
% 73.50/46.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | (~v100(constB140)) | v129(constB140, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140))))),
% 73.50/46.34 inference(monotonicity,[status(thm)],[20360])).
% 73.50/46.34 tff(20362,plain,
% 73.50/46.34 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | (~v100(constB140)) | v129(constB140, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140)))),
% 73.50/46.34 inference(transitivity,[status(thm)],[20361, 20359])).
% 73.50/46.34 tff(20363,plain,
% 73.50/46.34 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB140, bitIndex0)) | (~v100(constB140)) | v129(constB140, bitIndex0))),
% 73.50/46.34 inference(quant_inst,[status(thm)],[])).
% 73.50/46.34 tff(20364,plain,
% 73.50/46.34 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0) | (~v100(constB140))),
% 73.50/46.34 inference(modus_ponens,[status(thm)],[20363, 20362])).
% 73.50/46.34 tff(20365,plain,
% 73.50/46.34 (v129(constB140, bitIndex0) | (~v100(constB140))),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20364, 938, 20358])).
% 73.50/46.34 tff(20366,plain,
% 73.50/46.34 (~v100(constB140)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20365, 20357])).
% 73.50/46.34 tff(20367,plain,
% 73.50/46.34 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20368,plain,
% 73.50/46.34 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))),
% 73.50/46.34 inference(quant_inst,[status(thm)],[])).
% 73.50/46.34 tff(20369,plain,
% 73.50/46.34 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140))),
% 73.50/46.34 inference(modus_ponens,[status(thm)],[20368, 20367])).
% 73.50/46.34 tff(20370,plain,
% 73.50/46.34 (~v104(constB140)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20369, 335, 20334, 20210])).
% 73.50/46.34 tff(20371,plain,
% 73.50/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20372,plain,
% 73.50/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))),
% 73.50/46.34 inference(quant_inst,[status(thm)],[])).
% 73.50/46.34 tff(20373,plain,
% 73.50/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v102(constB140) | v104(constB140)),
% 73.50/46.34 inference(modus_ponens,[status(thm)],[20372, 20371])).
% 73.50/46.34 tff(20374,plain,
% 73.50/46.34 (v102(constB140) | v104(constB140)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20373, 349, 20334])).
% 73.50/46.34 tff(20375,plain,
% 73.50/46.34 (v102(constB140)),
% 73.50/46.34 inference(unit_resolution,[status(thm)],[20374, 20370])).
% 73.50/46.34 tff(20376,plain,
% 73.50/46.34 (v1(constB140) <=> v1(constB140)),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20377,axiom,(v1(constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_140_1')).
% 73.50/46.34 tff(20378,plain,
% 73.50/46.34 (v1(constB140)),
% 73.50/46.34 inference(modus_ponens,[status(thm)],[20377, 20376])).
% 73.50/46.34 tff(20379,plain,
% 73.50/46.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))),
% 73.50/46.34 inference(rewrite,[status(thm)],[])).
% 73.50/46.34 tff(20380,plain,
% 73.50/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))),
% 73.50/46.34 inference(quant_inst,[status(thm)],[])).
% 73.50/46.34 tff(20381,plain,
% 73.50/46.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140))),
% 73.50/46.34 inference(modus_ponens,[status(thm)],[20380, 20379])).
% 73.50/46.34 tff(20382,plain,
% 73.50/46.35 (v101(constB140) | (~v102(constB140))),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20381, 367, 20334, 20378])).
% 73.50/46.35 tff(20383,plain,
% 73.50/46.35 (v101(constB140)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20382, 20375])).
% 73.50/46.35 tff(20384,plain,
% 73.50/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20385,plain,
% 73.50/46.35 (((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140)) <=> ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20386,plain,
% 73.50/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140))))),
% 73.50/46.35 inference(monotonicity,[status(thm)],[20385])).
% 73.50/46.35 tff(20387,plain,
% 73.50/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 73.50/46.35 inference(transitivity,[status(thm)],[20386, 20384])).
% 73.50/46.35 tff(20388,plain,
% 73.50/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))),
% 73.50/46.35 inference(quant_inst,[status(thm)],[])).
% 73.50/46.35 tff(20389,plain,
% 73.50/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140))),
% 73.50/46.35 inference(modus_ponens,[status(thm)],[20388, 20387])).
% 73.50/46.35 tff(20390,plain,
% 73.50/46.35 (v100(constB140) | (~v101(constB140)) | (~v110(constB140))),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20389, 382, 20334])).
% 73.50/46.35 tff(20391,plain,
% 73.50/46.35 (v100(constB140) | (~v110(constB140))),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20390, 20383])).
% 73.50/46.35 tff(20392,plain,
% 73.50/46.35 (~v110(constB140)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20391, 20366])).
% 73.50/46.35 tff(20393,plain,
% 73.50/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20394,plain,
% 73.50/46.35 (((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140)) <=> ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20395,plain,
% 73.50/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139))))),
% 73.50/46.35 inference(monotonicity,[status(thm)],[20394])).
% 73.50/46.35 tff(20396,plain,
% 73.50/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 73.50/46.35 inference(transitivity,[status(thm)],[20395, 20393])).
% 73.50/46.35 tff(20397,plain,
% 73.50/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))),
% 73.50/46.35 inference(quant_inst,[status(thm)],[])).
% 73.50/46.35 tff(20398,plain,
% 73.50/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139))),
% 73.50/46.35 inference(modus_ponens,[status(thm)],[20397, 20396])).
% 73.50/46.35 tff(20399,plain,
% 73.50/46.35 (v110(constB140) | (~v108(constB139))),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20398, 317, 20334])).
% 73.50/46.35 tff(20400,plain,
% 73.50/46.35 (~v108(constB139)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20399, 20392])).
% 73.50/46.35 tff(20401,assumption,(~v108(constB139)), introduced(assumption)).
% 73.50/46.35 tff(20402,plain,
% 73.50/46.35 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB139) | (~v112(constB139)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB139) | (~v112(constB139)))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20403,plain,
% 73.50/46.35 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB139) | (~v112(constB139)))),
% 73.50/46.35 inference(quant_inst,[status(thm)],[])).
% 73.50/46.35 tff(20404,plain,
% 73.50/46.35 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB139) | (~v112(constB139))),
% 73.50/46.35 inference(modus_ponens,[status(thm)],[20403, 20402])).
% 73.50/46.35 tff(20405,plain,
% 73.50/46.35 (~v112(constB139)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20404, 210, 20401])).
% 73.50/46.35 tff(20406,plain,
% 73.50/46.35 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB139) | (~v26(constB139)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB139) | (~v26(constB139)))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20407,plain,
% 73.50/46.35 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB139) | (~v26(constB139)))),
% 73.50/46.35 inference(quant_inst,[status(thm)],[])).
% 73.50/46.35 tff(20408,plain,
% 73.50/46.35 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB139) | (~v26(constB139))),
% 73.50/46.35 inference(modus_ponens,[status(thm)],[20407, 20406])).
% 73.50/46.35 tff(20409,plain,
% 73.50/46.35 (~v26(constB139)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20408, 221, 20401])).
% 73.50/46.35 tff(20410,assumption,(v113(constB139)), introduced(assumption)).
% 73.50/46.35 tff(20411,plain,
% 73.50/46.35 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | v112(constB139) | (~v113(constB139)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20412,plain,
% 73.50/46.35 ((v26(constB139) | (~v113(constB139)) | v112(constB139)) <=> (v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20413,plain,
% 73.50/46.35 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | v112(constB139) | (~v113(constB139))))),
% 73.50/46.35 inference(monotonicity,[status(thm)],[20412])).
% 73.50/46.35 tff(20414,plain,
% 73.50/46.35 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 73.50/46.35 inference(transitivity,[status(thm)],[20413, 20411])).
% 73.50/46.35 tff(20415,plain,
% 73.50/46.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))),
% 73.50/46.35 inference(quant_inst,[status(thm)],[])).
% 73.50/46.35 tff(20416,plain,
% 73.50/46.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139))),
% 73.50/46.35 inference(modus_ponens,[status(thm)],[20415, 20414])).
% 73.50/46.35 tff(20417,plain,
% 73.50/46.35 (v26(constB139) | v112(constB139)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20416, 301, 20410])).
% 73.50/46.35 tff(20418,plain,
% 73.50/46.35 ($false),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20417, 20409, 20405])).
% 73.50/46.35 tff(20419,plain,(v108(constB139) | (~v113(constB139))), inference(lemma,lemma(discharge,[]))).
% 73.50/46.35 tff(20420,plain,
% 73.50/46.35 (~v113(constB139)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20419, 20400])).
% 73.50/46.35 tff(20421,plain,
% 73.50/46.35 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB139) | (~v114(constB139)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB139) | (~v114(constB139)))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20422,plain,
% 73.50/46.35 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB139) | (~v114(constB139)))),
% 73.50/46.35 inference(quant_inst,[status(thm)],[])).
% 73.50/46.35 tff(20423,plain,
% 73.50/46.35 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB139) | (~v114(constB139))),
% 73.50/46.35 inference(modus_ponens,[status(thm)],[20422, 20421])).
% 73.50/46.35 tff(20424,plain,
% 73.50/46.35 (~v114(constB139)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20423, 287, 20420])).
% 73.50/46.35 tff(20425,plain,
% 73.50/46.35 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB139) | (~v122(constB139)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB139) | (~v122(constB139)))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20426,plain,
% 73.50/46.35 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB139) | (~v122(constB139)))),
% 73.50/46.35 inference(quant_inst,[status(thm)],[])).
% 73.50/46.35 tff(20427,plain,
% 73.50/46.35 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB139) | (~v122(constB139))),
% 73.50/46.35 inference(modus_ponens,[status(thm)],[20426, 20425])).
% 73.50/46.35 tff(20428,plain,
% 73.50/46.35 (v116(constB139)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20427, 1214, 20340])).
% 73.50/46.35 tff(20429,plain,
% 73.50/46.35 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB139) | (~v116(constB139)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB139) | (~v116(constB139)))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20430,plain,
% 73.50/46.35 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB139) | (~v116(constB139)))),
% 73.50/46.35 inference(quant_inst,[status(thm)],[])).
% 73.50/46.35 tff(20431,plain,
% 73.50/46.35 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB139) | (~v116(constB139))),
% 73.50/46.35 inference(modus_ponens,[status(thm)],[20430, 20429])).
% 73.50/46.35 tff(20432,plain,
% 73.50/46.35 (v115(constB139)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20431, 265, 20428])).
% 73.50/46.35 tff(20433,plain,
% 73.50/46.35 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB139) | (~v115(constB139)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB139) | (~v115(constB139)))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20434,plain,
% 73.50/46.35 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB139) | (~v115(constB139)))),
% 73.50/46.35 inference(quant_inst,[status(thm)],[])).
% 73.50/46.35 tff(20435,plain,
% 73.50/46.35 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB139) | (~v115(constB139))),
% 73.50/46.35 inference(modus_ponens,[status(thm)],[20434, 20433])).
% 73.50/46.35 tff(20436,plain,
% 73.50/46.35 ($false),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20435, 276, 20432, 20424])).
% 73.50/46.35 tff(20437,plain,((~v122(constB139)) | (~v90(constB140, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 73.50/46.35 tff(20438,plain,
% 73.50/46.35 (~v90(constB140, bitIndex0)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20437, 20315])).
% 73.50/46.35 tff(20439,plain,
% 73.50/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB139, bitIndex0)) | (~nextState(constB139, constB140)) | v100(constB140) | v90(constB140, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB139, bitIndex0)) | (~nextState(constB139, constB140)) | v100(constB140) | v90(constB140, bitIndex0))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20440,plain,
% 73.50/46.35 (((~nextState(constB139, constB140)) | (~v90(constB139, bitIndex0)) | v100(constB140) | v90(constB140, bitIndex0)) <=> ((~v90(constB139, bitIndex0)) | (~nextState(constB139, constB140)) | v100(constB140) | v90(constB140, bitIndex0))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20441,plain,
% 73.50/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB139, constB140)) | (~v90(constB139, bitIndex0)) | v100(constB140) | v90(constB140, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB139, bitIndex0)) | (~nextState(constB139, constB140)) | v100(constB140) | v90(constB140, bitIndex0)))),
% 73.50/46.35 inference(monotonicity,[status(thm)],[20440])).
% 73.50/46.35 tff(20442,plain,
% 73.50/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB139, constB140)) | (~v90(constB139, bitIndex0)) | v100(constB140) | v90(constB140, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB139, bitIndex0)) | (~nextState(constB139, constB140)) | v100(constB140) | v90(constB140, bitIndex0))),
% 73.50/46.35 inference(transitivity,[status(thm)],[20441, 20439])).
% 73.50/46.35 tff(20443,plain,
% 73.50/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB139, constB140)) | (~v90(constB139, bitIndex0)) | v100(constB140) | v90(constB140, bitIndex0))),
% 73.50/46.35 inference(quant_inst,[status(thm)],[])).
% 73.50/46.35 tff(20444,plain,
% 73.50/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB139, bitIndex0)) | (~nextState(constB139, constB140)) | v100(constB140) | v90(constB140, bitIndex0)),
% 73.50/46.35 inference(modus_ponens,[status(thm)],[20443, 20442])).
% 73.50/46.35 tff(20445,plain,
% 73.50/46.35 ((~v90(constB139, bitIndex0)) | v100(constB140) | v90(constB140, bitIndex0)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20444, 437, 20334])).
% 73.50/46.35 tff(20446,plain,
% 73.50/46.35 (v100(constB140)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20445, 20438, 20311])).
% 73.50/46.35 tff(20447,plain,
% 73.50/46.35 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140)))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20448,plain,
% 73.50/46.35 (((~v90(constB140, bitIndex1)) | (~v100(constB140)) | v129(constB140, bitIndex1)) <=> ((~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140)))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20449,plain,
% 73.50/46.35 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | (~v100(constB140)) | v129(constB140, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140))))),
% 73.50/46.35 inference(monotonicity,[status(thm)],[20448])).
% 73.50/46.35 tff(20450,plain,
% 73.50/46.35 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | (~v100(constB140)) | v129(constB140, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140)))),
% 73.50/46.35 inference(transitivity,[status(thm)],[20449, 20447])).
% 73.50/46.35 tff(20451,plain,
% 73.50/46.35 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB140, bitIndex1)) | (~v100(constB140)) | v129(constB140, bitIndex1))),
% 73.50/46.35 inference(quant_inst,[status(thm)],[])).
% 73.50/46.35 tff(20452,plain,
% 73.50/46.35 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1) | (~v100(constB140))),
% 73.50/46.35 inference(modus_ponens,[status(thm)],[20451, 20450])).
% 73.50/46.35 tff(20453,plain,
% 73.50/46.35 ((~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20452, 603, 20446])).
% 73.50/46.35 tff(20454,plain,
% 73.50/46.35 (~v90(constB140, bitIndex1)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20453, 20339])).
% 73.50/46.35 tff(20455,plain,
% 73.50/46.35 ((~v1(constB141)) <=> (~v1(constB141))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20456,axiom,(~v1(constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_141_1_1')).
% 73.50/46.35 tff(20457,plain,
% 73.50/46.35 (~v1(constB141)),
% 73.50/46.35 inference(modus_ponens,[status(thm)],[20456, 20455])).
% 73.50/46.35 tff(20458,plain,
% 73.50/46.35 (nextState(constB140, constB141) <=> nextState(constB140, constB141)),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20459,axiom,(nextState(constB140, constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_140_1')).
% 73.50/46.35 tff(20460,plain,
% 73.50/46.35 (nextState(constB140, constB141)),
% 73.50/46.35 inference(modus_ponens,[status(thm)],[20459, 20458])).
% 73.50/46.35 tff(20461,plain,
% 73.50/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20462,plain,
% 73.50/46.35 (((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141)) <=> (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20463,plain,
% 73.50/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141))))),
% 73.50/46.35 inference(monotonicity,[status(thm)],[20462])).
% 73.50/46.35 tff(20464,plain,
% 73.50/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 73.50/46.35 inference(transitivity,[status(thm)],[20463, 20461])).
% 73.50/46.35 tff(20465,plain,
% 73.50/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))),
% 73.50/46.35 inference(quant_inst,[status(thm)],[])).
% 73.50/46.35 tff(20466,plain,
% 73.50/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141))),
% 73.50/46.35 inference(modus_ponens,[status(thm)],[20465, 20464])).
% 73.50/46.35 tff(20467,plain,
% 73.50/46.35 (~v101(constB141)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20466, 56, 20460, 20457])).
% 73.50/46.35 tff(20468,plain,
% 73.50/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20469,plain,
% 73.50/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))),
% 73.50/46.35 inference(quant_inst,[status(thm)],[])).
% 73.50/46.35 tff(20470,plain,
% 73.50/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141))),
% 73.50/46.35 inference(modus_ponens,[status(thm)],[20469, 20468])).
% 73.50/46.35 tff(20471,plain,
% 73.50/46.35 (v101(constB141) | (~v100(constB141))),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20470, 73, 20460])).
% 73.50/46.35 tff(20472,plain,
% 73.50/46.35 (~v100(constB141)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20471, 20467])).
% 73.50/46.35 tff(20473,plain,
% 73.50/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1)))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20474,plain,
% 73.50/46.35 (((~nextState(constB140, constB141)) | v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1))) <=> (v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1)))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20475,plain,
% 73.50/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1))))),
% 73.50/46.35 inference(monotonicity,[status(thm)],[20474])).
% 73.50/46.35 tff(20476,plain,
% 73.50/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1)))),
% 73.50/46.35 inference(transitivity,[status(thm)],[20475, 20473])).
% 73.50/46.35 tff(20477,plain,
% 73.50/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1)))),
% 73.50/46.35 inference(quant_inst,[status(thm)],[])).
% 73.50/46.35 tff(20478,plain,
% 73.50/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex1))),
% 73.50/46.35 inference(modus_ponens,[status(thm)],[20477, 20476])).
% 73.50/46.35 tff(20479,plain,
% 73.50/46.35 (v90(constB140, bitIndex1) | v100(constB141) | (~v90(constB141, bitIndex1))),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20478, 109, 20460])).
% 73.50/46.35 tff(20480,plain,
% 73.50/46.35 (v90(constB140, bitIndex1) | (~v90(constB141, bitIndex1))),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20479, 20472])).
% 73.50/46.35 tff(20481,plain,
% 73.50/46.35 (~v90(constB141, bitIndex1)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20480, 20454])).
% 73.50/46.35 tff(20482,plain,
% 73.50/46.35 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB139)) | v130(constB139, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB139)) | v130(constB139, bitIndex2))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20483,plain,
% 73.50/46.35 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB139)) | v130(constB139, bitIndex2))),
% 73.50/46.35 inference(quant_inst,[status(thm)],[])).
% 73.50/46.35 tff(20484,plain,
% 73.50/46.35 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB139)) | v130(constB139, bitIndex2)),
% 73.50/46.35 inference(modus_ponens,[status(thm)],[20483, 20482])).
% 73.50/46.35 tff(20485,plain,
% 73.50/46.35 (v130(constB139, bitIndex2)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20484, 1290, 20315])).
% 73.50/46.35 tff(20486,plain,
% 73.50/46.35 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB139) | (~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB139) | (~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20487,plain,
% 73.50/46.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB139) | (~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2))),
% 73.50/46.35 inference(quant_inst,[status(thm)],[])).
% 73.50/46.35 tff(20488,plain,
% 73.50/46.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB139) | (~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2)),
% 73.50/46.35 inference(modus_ponens,[status(thm)],[20487, 20486])).
% 73.50/46.35 tff(20489,plain,
% 73.50/46.35 ((~v130(constB139, bitIndex2)) | v127(constB139, bitIndex2)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20488, 1304, 20323])).
% 73.50/46.35 tff(20490,plain,
% 73.50/46.35 (v127(constB139, bitIndex2)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20489, 20485])).
% 73.50/46.35 tff(20491,plain,
% 73.50/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB139, constB140)) | (~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB139, constB140)) | (~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20492,plain,
% 73.50/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB139, constB140)) | (~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2))),
% 73.50/46.35 inference(quant_inst,[status(thm)],[])).
% 73.50/46.35 tff(20493,plain,
% 73.50/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB139, constB140)) | (~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2)),
% 73.50/46.35 inference(modus_ponens,[status(thm)],[20492, 20491])).
% 73.50/46.35 tff(20494,plain,
% 73.50/46.35 ((~v127(constB139, bitIndex2)) | v129(constB140, bitIndex2)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20493, 1319, 20334])).
% 73.50/46.35 tff(20495,plain,
% 73.50/46.35 (v129(constB140, bitIndex2)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20494, 20490])).
% 73.50/46.35 tff(20496,plain,
% 73.50/46.35 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140)))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20497,plain,
% 73.50/46.35 ((v90(constB140, bitIndex2) | (~v100(constB140)) | (~v129(constB140, bitIndex2))) <=> (v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140)))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20498,plain,
% 73.50/46.35 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~v100(constB140)) | (~v129(constB140, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140))))),
% 73.50/46.35 inference(monotonicity,[status(thm)],[20497])).
% 73.50/46.35 tff(20499,plain,
% 73.50/46.35 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~v100(constB140)) | (~v129(constB140, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140)))),
% 73.50/46.35 inference(transitivity,[status(thm)],[20498, 20496])).
% 73.50/46.35 tff(20500,plain,
% 73.50/46.35 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB140, bitIndex2) | (~v100(constB140)) | (~v129(constB140, bitIndex2)))),
% 73.50/46.35 inference(quant_inst,[status(thm)],[])).
% 73.50/46.35 tff(20501,plain,
% 73.50/46.35 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2)) | (~v100(constB140))),
% 73.50/46.35 inference(modus_ponens,[status(thm)],[20500, 20499])).
% 73.50/46.35 tff(20502,plain,
% 73.50/46.35 (v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2))),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20501, 1334, 20446])).
% 73.50/46.35 tff(20503,plain,
% 73.50/46.35 (v90(constB140, bitIndex2)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20502, 20495])).
% 73.50/46.35 tff(20504,plain,
% 73.50/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20505,plain,
% 73.50/46.35 (((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2)) <=> ((~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20506,plain,
% 73.50/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2)))),
% 73.50/46.35 inference(monotonicity,[status(thm)],[20505])).
% 73.50/46.35 tff(20507,plain,
% 73.50/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2))),
% 73.50/46.35 inference(transitivity,[status(thm)],[20506, 20504])).
% 73.50/46.35 tff(20508,plain,
% 73.50/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2))),
% 73.50/46.35 inference(quant_inst,[status(thm)],[])).
% 73.50/46.35 tff(20509,plain,
% 73.50/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex2)),
% 73.50/46.35 inference(modus_ponens,[status(thm)],[20508, 20507])).
% 73.50/46.35 tff(20510,plain,
% 73.50/46.35 ((~v90(constB140, bitIndex2)) | v100(constB141) | v90(constB141, bitIndex2)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20509, 1370, 20460])).
% 73.50/46.35 tff(20511,plain,
% 73.50/46.35 ((~v90(constB140, bitIndex2)) | v90(constB141, bitIndex2)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20510, 20472])).
% 73.50/46.35 tff(20512,plain,
% 73.50/46.35 (v90(constB141, bitIndex2)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20511, 20503])).
% 73.50/46.35 tff(20513,plain,
% 73.50/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0)))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20514,plain,
% 73.50/46.35 (((~nextState(constB140, constB141)) | v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0))) <=> (v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0)))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20515,plain,
% 73.50/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0))))),
% 73.50/46.35 inference(monotonicity,[status(thm)],[20514])).
% 73.50/46.35 tff(20516,plain,
% 73.50/46.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0)))),
% 73.50/46.35 inference(transitivity,[status(thm)],[20515, 20513])).
% 73.50/46.35 tff(20517,plain,
% 73.50/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB140, constB141)) | v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0)))),
% 73.50/46.35 inference(quant_inst,[status(thm)],[])).
% 73.50/46.35 tff(20518,plain,
% 73.50/46.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex0))),
% 73.50/46.35 inference(modus_ponens,[status(thm)],[20517, 20516])).
% 73.50/46.35 tff(20519,plain,
% 73.50/46.35 (v90(constB140, bitIndex0) | v100(constB141) | (~v90(constB141, bitIndex0))),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20518, 130, 20460])).
% 73.50/46.35 tff(20520,plain,
% 73.50/46.35 (v90(constB140, bitIndex0) | (~v90(constB141, bitIndex0))),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20519, 20472])).
% 73.50/46.35 tff(20521,plain,
% 73.50/46.35 (~v90(constB141, bitIndex0)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20520, 20438])).
% 73.50/46.35 tff(20522,plain,
% 73.50/46.35 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)) | v123(constB141))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)) | v123(constB141))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20523,plain,
% 73.50/46.35 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)) | v123(constB141))),
% 73.50/46.35 inference(quant_inst,[status(thm)],[])).
% 73.50/46.35 tff(20524,plain,
% 73.50/46.35 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)) | v123(constB141)),
% 73.50/46.35 inference(modus_ponens,[status(thm)],[20523, 20522])).
% 73.50/46.35 tff(20525,plain,
% 73.50/46.35 (v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)) | v123(constB141)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20524, 1477, 20521])).
% 73.50/46.35 tff(20526,plain,
% 73.50/46.35 (v123(constB141)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20525, 20512, 20481])).
% 73.50/46.35 tff(20527,plain,
% 73.50/46.35 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB141)) | v130(constB141, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB141)) | v130(constB141, bitIndex2))),
% 73.50/46.35 inference(rewrite,[status(thm)],[])).
% 73.50/46.35 tff(20528,plain,
% 73.50/46.35 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB141)) | v130(constB141, bitIndex2))),
% 73.50/46.35 inference(quant_inst,[status(thm)],[])).
% 73.50/46.35 tff(20529,plain,
% 73.50/46.35 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB141)) | v130(constB141, bitIndex2)),
% 73.50/46.35 inference(modus_ponens,[status(thm)],[20528, 20527])).
% 73.50/46.35 tff(20530,plain,
% 73.50/46.35 (v130(constB141, bitIndex2)),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20529, 1563, 20526])).
% 73.50/46.35 tff(20531,assumption,(v26(constB141)), introduced(assumption)).
% 73.50/46.35 tff(20532,plain,
% 73.50/46.35 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB141))),
% 73.50/46.35 inference(quant_inst,[status(thm)],[])).
% 73.50/46.35 tff(20533,plain,
% 73.50/46.35 ($false),
% 73.50/46.35 inference(unit_resolution,[status(thm)],[20532, 37, 20531])).
% 73.50/46.35 tff(20534,plain,(~v26(constB141)), inference(lemma,lemma(discharge,[]))).
% 73.50/46.35 tff(20535,plain,
% 73.50/46.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20536,plain,
% 73.50/46.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2))),
% 73.50/46.36 inference(quant_inst,[status(thm)],[])).
% 73.50/46.36 tff(20537,plain,
% 73.50/46.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2)),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20536, 20535])).
% 73.50/46.36 tff(20538,plain,
% 73.50/46.36 ((~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20537, 1304, 20534])).
% 73.50/46.36 tff(20539,plain,
% 73.50/46.36 (v127(constB141, bitIndex2)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20538, 20530])).
% 73.50/46.36 tff(20540,plain,
% 73.50/46.36 (nextState(constB141, constB142) <=> nextState(constB141, constB142)),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20541,axiom,(nextState(constB141, constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_141_1')).
% 73.50/46.36 tff(20542,plain,
% 73.50/46.36 (nextState(constB141, constB142)),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20541, 20540])).
% 73.50/46.36 tff(20543,plain,
% 73.50/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20544,plain,
% 73.50/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2))),
% 73.50/46.36 inference(quant_inst,[status(thm)],[])).
% 73.50/46.36 tff(20545,plain,
% 73.50/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2)),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20544, 20543])).
% 73.50/46.36 tff(20546,plain,
% 73.50/46.36 ((~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20545, 1319, 20542])).
% 73.50/46.36 tff(20547,plain,
% 73.50/46.36 (v129(constB142, bitIndex2)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20546, 20539])).
% 73.50/46.36 tff(20548,assumption,(v123(constB141)), introduced(assumption)).
% 73.50/46.36 tff(20549,plain,
% 73.50/46.36 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB141) | (~v123(constB141)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB141) | (~v123(constB141)))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20550,plain,
% 73.50/46.36 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB141) | (~v123(constB141)))),
% 73.50/46.36 inference(quant_inst,[status(thm)],[])).
% 73.50/46.36 tff(20551,plain,
% 73.50/46.36 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB141) | (~v123(constB141))),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20550, 20549])).
% 73.50/46.36 tff(20552,plain,
% 73.50/46.36 (v115(constB141)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20551, 1488, 20548])).
% 73.50/46.36 tff(20553,plain,
% 73.50/46.36 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB141) | (~v115(constB141)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB141) | (~v115(constB141)))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20554,plain,
% 73.50/46.36 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB141) | (~v115(constB141)))),
% 73.50/46.36 inference(quant_inst,[status(thm)],[])).
% 73.50/46.36 tff(20555,plain,
% 73.50/46.36 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB141) | (~v115(constB141))),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20554, 20553])).
% 73.50/46.36 tff(20556,plain,
% 73.50/46.36 (v114(constB141)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20555, 276, 20552])).
% 73.50/46.36 tff(20557,plain,
% 73.50/46.36 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB141)) | v130(constB141, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB141)) | v130(constB141, bitIndex0))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20558,plain,
% 73.50/46.36 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB141)) | v130(constB141, bitIndex0))),
% 73.50/46.36 inference(quant_inst,[status(thm)],[])).
% 73.50/46.36 tff(20559,plain,
% 73.50/46.36 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB141)) | v130(constB141, bitIndex0)),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20558, 20557])).
% 73.50/46.36 tff(20560,plain,
% 73.50/46.36 (v130(constB141, bitIndex0)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20559, 1666, 20548])).
% 73.50/46.36 tff(20561,plain,
% 73.50/46.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB141) | (~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB141) | (~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20562,plain,
% 73.50/46.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB141) | (~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0))),
% 73.50/46.36 inference(quant_inst,[status(thm)],[])).
% 73.50/46.36 tff(20563,plain,
% 73.50/46.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB141) | (~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0)),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20562, 20561])).
% 73.50/46.36 tff(20564,plain,
% 73.50/46.36 ((~v130(constB141, bitIndex0)) | v127(constB141, bitIndex0)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20563, 179, 20534])).
% 73.50/46.36 tff(20565,plain,
% 73.50/46.36 (v127(constB141, bitIndex0)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20564, 20560])).
% 73.50/46.36 tff(20566,plain,
% 73.50/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20567,plain,
% 73.50/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0))),
% 73.50/46.36 inference(quant_inst,[status(thm)],[])).
% 73.50/46.36 tff(20568,plain,
% 73.50/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0)),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20567, 20566])).
% 73.50/46.36 tff(20569,plain,
% 73.50/46.36 ((~v127(constB141, bitIndex0)) | v129(constB142, bitIndex0)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20568, 197, 20542])).
% 73.50/46.36 tff(20570,plain,
% 73.50/46.36 (v129(constB142, bitIndex0)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20569, 20565])).
% 73.50/46.36 tff(20571,assumption,(~v90(constB142, bitIndex0)), introduced(assumption)).
% 73.50/46.36 tff(20572,plain,
% 73.50/46.36 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142)))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20573,plain,
% 73.50/46.36 ((v90(constB142, bitIndex0) | (~v100(constB142)) | (~v129(constB142, bitIndex0))) <=> (v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142)))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20574,plain,
% 73.50/46.36 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~v100(constB142)) | (~v129(constB142, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142))))),
% 73.50/46.36 inference(monotonicity,[status(thm)],[20573])).
% 73.50/46.36 tff(20575,plain,
% 73.50/46.36 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~v100(constB142)) | (~v129(constB142, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142)))),
% 73.50/46.36 inference(transitivity,[status(thm)],[20574, 20572])).
% 73.50/46.36 tff(20576,plain,
% 73.50/46.36 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB142, bitIndex0) | (~v100(constB142)) | (~v129(constB142, bitIndex0)))),
% 73.50/46.36 inference(quant_inst,[status(thm)],[])).
% 73.50/46.36 tff(20577,plain,
% 73.50/46.36 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0)) | (~v100(constB142))),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20576, 20575])).
% 73.50/46.36 tff(20578,plain,
% 73.50/46.36 ((~v129(constB142, bitIndex0)) | (~v100(constB142))),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20577, 401, 20571])).
% 73.50/46.36 tff(20579,plain,
% 73.50/46.36 (~v100(constB142)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20578, 20570])).
% 73.50/46.36 tff(20580,plain,
% 73.50/46.36 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20581,plain,
% 73.50/46.36 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))),
% 73.50/46.36 inference(quant_inst,[status(thm)],[])).
% 73.50/46.36 tff(20582,plain,
% 73.50/46.36 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142))),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20581, 20580])).
% 73.50/46.36 tff(20583,plain,
% 73.50/46.36 (~v104(constB142)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20582, 335, 20542, 20457])).
% 73.50/46.36 tff(20584,plain,
% 73.50/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20585,plain,
% 73.50/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))),
% 73.50/46.36 inference(quant_inst,[status(thm)],[])).
% 73.50/46.36 tff(20586,plain,
% 73.50/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v102(constB142) | v104(constB142)),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20585, 20584])).
% 73.50/46.36 tff(20587,plain,
% 73.50/46.36 (v102(constB142) | v104(constB142)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20586, 349, 20542])).
% 73.50/46.36 tff(20588,plain,
% 73.50/46.36 (v102(constB142)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20587, 20583])).
% 73.50/46.36 tff(20589,plain,
% 73.50/46.36 (v1(constB142) <=> v1(constB142)),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20590,axiom,(v1(constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_142_1')).
% 73.50/46.36 tff(20591,plain,
% 73.50/46.36 (v1(constB142)),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20590, 20589])).
% 73.50/46.36 tff(20592,plain,
% 73.50/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20593,plain,
% 73.50/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))),
% 73.50/46.36 inference(quant_inst,[status(thm)],[])).
% 73.50/46.36 tff(20594,plain,
% 73.50/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142))),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20593, 20592])).
% 73.50/46.36 tff(20595,plain,
% 73.50/46.36 (v101(constB142) | (~v102(constB142))),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20594, 367, 20542, 20591])).
% 73.50/46.36 tff(20596,plain,
% 73.50/46.36 (v101(constB142)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20595, 20588])).
% 73.50/46.36 tff(20597,plain,
% 73.50/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20598,plain,
% 73.50/46.36 (((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142)) <=> ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20599,plain,
% 73.50/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142))))),
% 73.50/46.36 inference(monotonicity,[status(thm)],[20598])).
% 73.50/46.36 tff(20600,plain,
% 73.50/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 73.50/46.36 inference(transitivity,[status(thm)],[20599, 20597])).
% 73.50/46.36 tff(20601,plain,
% 73.50/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))),
% 73.50/46.36 inference(quant_inst,[status(thm)],[])).
% 73.50/46.36 tff(20602,plain,
% 73.50/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142))),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20601, 20600])).
% 73.50/46.36 tff(20603,plain,
% 73.50/46.36 (v100(constB142) | (~v101(constB142)) | (~v110(constB142))),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20602, 382, 20542])).
% 73.50/46.36 tff(20604,plain,
% 73.50/46.36 (v100(constB142) | (~v110(constB142))),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20603, 20596])).
% 73.50/46.36 tff(20605,plain,
% 73.50/46.36 (~v110(constB142)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20604, 20579])).
% 73.50/46.36 tff(20606,plain,
% 73.50/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20607,plain,
% 73.50/46.36 (((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142)) <=> ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20608,plain,
% 73.50/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141))))),
% 73.50/46.36 inference(monotonicity,[status(thm)],[20607])).
% 73.50/46.36 tff(20609,plain,
% 73.50/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 73.50/46.36 inference(transitivity,[status(thm)],[20608, 20606])).
% 73.50/46.36 tff(20610,plain,
% 73.50/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))),
% 73.50/46.36 inference(quant_inst,[status(thm)],[])).
% 73.50/46.36 tff(20611,plain,
% 73.50/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141))),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20610, 20609])).
% 73.50/46.36 tff(20612,plain,
% 73.50/46.36 (v110(constB142) | (~v108(constB141))),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20611, 317, 20542])).
% 73.50/46.36 tff(20613,plain,
% 73.50/46.36 (~v108(constB141)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20612, 20605])).
% 73.50/46.36 tff(20614,plain,
% 73.50/46.36 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB141) | (~v112(constB141)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB141) | (~v112(constB141)))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20615,plain,
% 73.50/46.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB141) | (~v112(constB141)))),
% 73.50/46.36 inference(quant_inst,[status(thm)],[])).
% 73.50/46.36 tff(20616,plain,
% 73.50/46.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB141) | (~v112(constB141))),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20615, 20614])).
% 73.50/46.36 tff(20617,plain,
% 73.50/46.36 (~v112(constB141)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20616, 210, 20613])).
% 73.50/46.36 tff(20618,plain,
% 73.50/46.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | (~v113(constB141)) | v112(constB141))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20619,plain,
% 73.50/46.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))),
% 73.50/46.36 inference(quant_inst,[status(thm)],[])).
% 73.50/46.36 tff(20620,plain,
% 73.50/46.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | (~v113(constB141)) | v112(constB141)),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20619, 20618])).
% 73.50/46.36 tff(20621,plain,
% 73.50/46.36 ((~v113(constB141)) | v112(constB141)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20620, 301, 20534])).
% 73.50/46.36 tff(20622,plain,
% 73.50/46.36 (~v113(constB141)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20621, 20617])).
% 73.50/46.36 tff(20623,plain,
% 73.50/46.36 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB141) | (~v114(constB141)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB141) | (~v114(constB141)))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20624,plain,
% 73.50/46.36 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB141) | (~v114(constB141)))),
% 73.50/46.36 inference(quant_inst,[status(thm)],[])).
% 73.50/46.36 tff(20625,plain,
% 73.50/46.36 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB141) | (~v114(constB141))),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20624, 20623])).
% 73.50/46.36 tff(20626,plain,
% 73.50/46.36 ($false),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20625, 287, 20622, 20556])).
% 73.50/46.36 tff(20627,plain,((~v123(constB141)) | v90(constB142, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.50/46.36 tff(20628,plain,
% 73.50/46.36 (v90(constB142, bitIndex0)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20627, 20526])).
% 73.50/46.36 tff(20629,plain,
% 73.50/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB141, bitIndex0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB141, bitIndex0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex0)))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20630,plain,
% 73.50/46.36 (((~nextState(constB141, constB142)) | v90(constB141, bitIndex0) | v100(constB142) | (~v90(constB142, bitIndex0))) <=> (v90(constB141, bitIndex0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex0)))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20631,plain,
% 73.50/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex0) | v100(constB142) | (~v90(constB142, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB141, bitIndex0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex0))))),
% 73.50/46.36 inference(monotonicity,[status(thm)],[20630])).
% 73.50/46.36 tff(20632,plain,
% 73.50/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex0) | v100(constB142) | (~v90(constB142, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB141, bitIndex0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex0)))),
% 73.50/46.36 inference(transitivity,[status(thm)],[20631, 20629])).
% 73.50/46.36 tff(20633,plain,
% 73.50/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v90(constB141, bitIndex0) | v100(constB142) | (~v90(constB142, bitIndex0)))),
% 73.50/46.36 inference(quant_inst,[status(thm)],[])).
% 73.50/46.36 tff(20634,plain,
% 73.50/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB141, bitIndex0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, bitIndex0))),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20633, 20632])).
% 73.50/46.36 tff(20635,plain,
% 73.50/46.36 (v90(constB141, bitIndex0) | v100(constB142) | (~v90(constB142, bitIndex0))),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20634, 130, 20542])).
% 73.50/46.36 tff(20636,plain,
% 73.50/46.36 (v100(constB142)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20635, 20628, 20521])).
% 73.50/46.36 tff(20637,plain,
% 73.50/46.36 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20638,plain,
% 73.50/46.36 ((v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2))) <=> (v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20639,plain,
% 73.50/46.36 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142))))),
% 73.50/46.36 inference(monotonicity,[status(thm)],[20638])).
% 73.50/46.36 tff(20640,plain,
% 73.50/46.36 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))),
% 73.50/46.36 inference(transitivity,[status(thm)],[20639, 20637])).
% 73.50/46.36 tff(20641,plain,
% 73.50/46.36 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2)))),
% 73.50/46.36 inference(quant_inst,[status(thm)],[])).
% 73.50/46.36 tff(20642,plain,
% 73.50/46.36 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142))),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20641, 20640])).
% 73.50/46.36 tff(20643,plain,
% 73.50/46.36 (v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2))),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20642, 1334, 20636])).
% 73.50/46.36 tff(20644,plain,
% 73.50/46.36 (v90(constB142, bitIndex2)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20643, 20547])).
% 73.50/46.36 tff(20645,plain,
% 73.50/46.36 ((~v1(constB143)) <=> (~v1(constB143))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20646,axiom,(~v1(constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_143_1_1')).
% 73.50/46.36 tff(20647,plain,
% 73.50/46.36 (~v1(constB143)),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20646, 20645])).
% 73.50/46.36 tff(20648,plain,
% 73.50/46.36 (nextState(constB142, constB143) <=> nextState(constB142, constB143)),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20649,axiom,(nextState(constB142, constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_142_1')).
% 73.50/46.36 tff(20650,plain,
% 73.50/46.36 (nextState(constB142, constB143)),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20649, 20648])).
% 73.50/46.36 tff(20651,plain,
% 73.50/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20652,plain,
% 73.50/46.36 (((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143)) <=> (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20653,plain,
% 73.50/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143))))),
% 73.50/46.36 inference(monotonicity,[status(thm)],[20652])).
% 73.50/46.36 tff(20654,plain,
% 73.50/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 73.50/46.36 inference(transitivity,[status(thm)],[20653, 20651])).
% 73.50/46.36 tff(20655,plain,
% 73.50/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))),
% 73.50/46.36 inference(quant_inst,[status(thm)],[])).
% 73.50/46.36 tff(20656,plain,
% 73.50/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143))),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20655, 20654])).
% 73.50/46.36 tff(20657,plain,
% 73.50/46.36 (~v101(constB143)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20656, 56, 20650, 20647])).
% 73.50/46.36 tff(20658,plain,
% 73.50/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20659,plain,
% 73.50/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))),
% 73.50/46.36 inference(quant_inst,[status(thm)],[])).
% 73.50/46.36 tff(20660,plain,
% 73.50/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143))),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20659, 20658])).
% 73.50/46.36 tff(20661,plain,
% 73.50/46.36 (v101(constB143) | (~v100(constB143))),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20660, 73, 20650])).
% 73.50/46.36 tff(20662,plain,
% 73.50/46.36 (~v100(constB143)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20661, 20657])).
% 73.50/46.36 tff(20663,plain,
% 73.50/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20664,plain,
% 73.50/46.36 (((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2)) <=> ((~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20665,plain,
% 73.50/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2)))),
% 73.50/46.36 inference(monotonicity,[status(thm)],[20664])).
% 73.50/46.36 tff(20666,plain,
% 73.50/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))),
% 73.50/46.36 inference(transitivity,[status(thm)],[20665, 20663])).
% 73.50/46.36 tff(20667,plain,
% 73.50/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2))),
% 73.50/46.36 inference(quant_inst,[status(thm)],[])).
% 73.50/46.36 tff(20668,plain,
% 73.50/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2)),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20667, 20666])).
% 73.50/46.36 tff(20669,plain,
% 73.50/46.36 ((~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20668, 1370, 20650])).
% 73.50/46.36 tff(20670,plain,
% 73.50/46.36 ((~v90(constB142, bitIndex2)) | v90(constB143, bitIndex2)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20669, 20662])).
% 73.50/46.36 tff(20671,plain,
% 73.50/46.36 (v90(constB143, bitIndex2)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20670, 20644])).
% 73.50/46.36 tff(20672,plain,
% 73.50/46.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB143, bitIndex2)) | v88(constB143, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB143, bitIndex2)) | v88(constB143, bitIndex2))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20673,plain,
% 73.50/46.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB143, bitIndex2)) | v88(constB143, bitIndex2))),
% 73.50/46.36 inference(quant_inst,[status(thm)],[])).
% 73.50/46.36 tff(20674,plain,
% 73.50/46.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB143, bitIndex2)) | v88(constB143, bitIndex2)),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20673, 20672])).
% 73.50/46.36 tff(20675,plain,
% 73.50/46.36 (v88(constB143, bitIndex2)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20674, 6015, 20671])).
% 73.50/46.36 tff(20676,plain,
% 73.50/46.36 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v140(constB143)) | (~v88(constB143, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB143)) | (~v88(constB143, bitIndex2)))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20677,plain,
% 73.50/46.36 (((~v88(constB143, bitIndex2)) | (~v140(constB143))) <=> ((~v140(constB143)) | (~v88(constB143, bitIndex2)))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20678,plain,
% 73.50/46.36 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB143, bitIndex2)) | (~v140(constB143)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v140(constB143)) | (~v88(constB143, bitIndex2))))),
% 73.50/46.36 inference(monotonicity,[status(thm)],[20677])).
% 73.50/46.36 tff(20679,plain,
% 73.50/46.36 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB143, bitIndex2)) | (~v140(constB143)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB143)) | (~v88(constB143, bitIndex2)))),
% 73.50/46.36 inference(transitivity,[status(thm)],[20678, 20676])).
% 73.50/46.36 tff(20680,plain,
% 73.50/46.36 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB143, bitIndex2)) | (~v140(constB143)))),
% 73.50/46.36 inference(quant_inst,[status(thm)],[])).
% 73.50/46.36 tff(20681,plain,
% 73.50/46.36 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB143)) | (~v88(constB143, bitIndex2))),
% 73.50/46.36 inference(modus_ponens,[status(thm)],[20680, 20679])).
% 73.50/46.36 tff(20682,plain,
% 73.50/46.36 (~v140(constB143)),
% 73.50/46.36 inference(unit_resolution,[status(thm)],[20681, 6026, 20675])).
% 73.50/46.36 tff(20683,plain,
% 73.50/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20684,plain,
% 73.50/46.36 (((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0)) <=> ((~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0))),
% 73.50/46.36 inference(rewrite,[status(thm)],[])).
% 73.50/46.36 tff(20685,plain,
% 73.50/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0)))),
% 73.50/46.36 inference(monotonicity,[status(thm)],[20684])).
% 73.50/46.36 tff(20686,plain,
% 73.50/46.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0))),
% 73.50/46.36 inference(transitivity,[status(thm)],[20685, 20683])).
% 73.50/46.36 tff(20687,plain,
% 73.50/46.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20688,plain,
% 73.50/46.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex0)),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20687, 20686])).
% 73.50/46.37 tff(20689,plain,
% 73.50/46.37 ((~v90(constB142, bitIndex0)) | v100(constB143) | v90(constB143, bitIndex0)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20688, 437, 20650])).
% 73.50/46.37 tff(20690,plain,
% 73.50/46.37 ((~v90(constB142, bitIndex0)) | v90(constB143, bitIndex0)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20689, 20662])).
% 73.50/46.37 tff(20691,plain,
% 73.50/46.37 (v90(constB143, bitIndex0)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20690, 20628])).
% 73.50/46.37 tff(20692,plain,
% 73.50/46.37 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB143, bitIndex0)) | v88(constB143, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB143, bitIndex0)) | v88(constB143, bitIndex0))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20693,plain,
% 73.50/46.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB143, bitIndex0)) | v88(constB143, bitIndex0))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20694,plain,
% 73.50/46.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB143, bitIndex0)) | v88(constB143, bitIndex0)),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20693, 20692])).
% 73.50/46.37 tff(20695,plain,
% 73.50/46.37 (v88(constB143, bitIndex0)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20694, 6074, 20691])).
% 73.50/46.37 tff(20696,plain,
% 73.50/46.37 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB143)) | (~v88(constB143, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB143)) | (~v88(constB143, bitIndex0)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20697,plain,
% 73.50/46.37 (((~v88(constB143, bitIndex0)) | (~v139(constB143))) <=> ((~v139(constB143)) | (~v88(constB143, bitIndex0)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20698,plain,
% 73.50/46.37 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB143, bitIndex0)) | (~v139(constB143)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB143)) | (~v88(constB143, bitIndex0))))),
% 73.50/46.37 inference(monotonicity,[status(thm)],[20697])).
% 73.50/46.37 tff(20699,plain,
% 73.50/46.37 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB143, bitIndex0)) | (~v139(constB143)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB143)) | (~v88(constB143, bitIndex0)))),
% 73.50/46.37 inference(transitivity,[status(thm)],[20698, 20696])).
% 73.50/46.37 tff(20700,plain,
% 73.50/46.37 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB143, bitIndex0)) | (~v139(constB143)))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20701,plain,
% 73.50/46.37 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB143)) | (~v88(constB143, bitIndex0))),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20700, 20699])).
% 73.50/46.37 tff(20702,plain,
% 73.50/46.37 (~v139(constB143)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20701, 6085, 20695])).
% 73.50/46.37 tff(20703,plain,
% 73.50/46.37 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | ((~v200(constB143)) | v140(constB143) | v139(constB143))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (~v200(constB143)) | v140(constB143) | v139(constB143))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20704,plain,
% 73.50/46.37 ((v140(constB143) | v139(constB143) | (~v200(constB143))) <=> ((~v200(constB143)) | v140(constB143) | v139(constB143))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20705,plain,
% 73.50/46.37 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB143) | v139(constB143) | (~v200(constB143)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | ((~v200(constB143)) | v140(constB143) | v139(constB143)))),
% 73.50/46.37 inference(monotonicity,[status(thm)],[20704])).
% 73.50/46.37 tff(20706,plain,
% 73.50/46.37 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB143) | v139(constB143) | (~v200(constB143)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (~v200(constB143)) | v140(constB143) | v139(constB143))),
% 73.50/46.37 inference(transitivity,[status(thm)],[20705, 20703])).
% 73.50/46.37 tff(20707,plain,
% 73.50/46.37 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB143) | v139(constB143) | (~v200(constB143)))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20708,plain,
% 73.50/46.37 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (~v200(constB143)) | v140(constB143) | v139(constB143)),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20707, 20706])).
% 73.50/46.37 tff(20709,plain,
% 73.50/46.37 ((~v200(constB143)) | v140(constB143)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20708, 6102, 20702])).
% 73.50/46.37 tff(20710,plain,
% 73.50/46.37 (~v200(constB143)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20709, 20682])).
% 73.50/46.37 tff(20711,plain,
% 73.50/46.37 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB143, bitIndex2)) | (~v141(constB143)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB143, bitIndex2)) | (~v141(constB143)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20712,plain,
% 73.50/46.37 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB143, bitIndex2)) | (~v141(constB143)))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20713,plain,
% 73.50/46.37 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB143, bitIndex2)) | (~v141(constB143))),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20712, 20711])).
% 73.50/46.37 tff(20714,plain,
% 73.50/46.37 (~v141(constB143)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20713, 6116, 20675])).
% 73.50/46.37 tff(20715,plain,
% 73.50/46.37 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB143) | v200(constB143) | (~v199(constB143)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB143) | v200(constB143) | (~v199(constB143)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20716,plain,
% 73.50/46.37 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB143) | v200(constB143) | (~v199(constB143)))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20717,plain,
% 73.50/46.37 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB143) | v200(constB143) | (~v199(constB143))),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20716, 20715])).
% 73.50/46.37 tff(20718,plain,
% 73.50/46.37 (~v199(constB143)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20717, 6133, 20714, 20710])).
% 73.50/46.37 tff(20719,plain,
% 73.50/46.37 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB143, bitIndex0)) | (~v143(constB143)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB143, bitIndex0)) | (~v143(constB143)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20720,plain,
% 73.50/46.37 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB143, bitIndex0)) | (~v143(constB143)))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20721,plain,
% 73.50/46.37 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB143, bitIndex0)) | (~v143(constB143))),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20720, 20719])).
% 73.50/46.37 tff(20722,plain,
% 73.50/46.37 (~v143(constB143)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20721, 6144, 20695])).
% 73.50/46.37 tff(20723,plain,
% 73.50/46.37 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB143, bitIndex0)) | (~v144(constB143)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB143, bitIndex0)) | (~v144(constB143)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20724,plain,
% 73.50/46.37 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB143, bitIndex0)) | (~v144(constB143)))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20725,plain,
% 73.50/46.37 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB143, bitIndex0)) | (~v144(constB143))),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20724, 20723])).
% 73.50/46.37 tff(20726,plain,
% 73.50/46.37 (~v144(constB143)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20725, 6158, 20695])).
% 73.50/46.37 tff(20727,plain,
% 73.50/46.37 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB143) | v144(constB143) | (~v142(constB143)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB143) | v144(constB143) | (~v142(constB143)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20728,plain,
% 73.50/46.37 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB143) | v144(constB143) | (~v142(constB143)))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20729,plain,
% 73.50/46.37 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB143) | v144(constB143) | (~v142(constB143))),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20728, 20727])).
% 73.50/46.37 tff(20730,plain,
% 73.50/46.37 (~v142(constB143)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20729, 6175, 20726, 20722])).
% 73.50/46.37 tff(20731,plain,
% 73.50/46.37 (((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB143) | v199(constB143) | (~v183(constB143)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB143) | v199(constB143) | (~v183(constB143)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20732,plain,
% 73.50/46.37 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB143) | v199(constB143) | (~v183(constB143)))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20733,plain,
% 73.50/46.37 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB143) | v199(constB143) | (~v183(constB143))),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20732, 20731])).
% 73.50/46.37 tff(20734,plain,
% 73.50/46.37 (v199(constB143) | (~v183(constB143))),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20733, 6189, 20730])).
% 73.50/46.37 tff(20735,plain,
% 73.50/46.37 (~v183(constB143)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20734, 20718])).
% 73.50/46.37 tff(20736,plain,
% 73.50/46.37 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB141)) | (~v130(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB141)) | (~v130(constB141, bitIndex1)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20737,plain,
% 73.50/46.37 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB141)) | (~v130(constB141, bitIndex1)))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20738,plain,
% 73.50/46.37 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB141)) | (~v130(constB141, bitIndex1))),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20737, 20736])).
% 73.50/46.37 tff(20739,plain,
% 73.50/46.37 (~v130(constB141, bitIndex1)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20738, 1622, 20526])).
% 73.50/46.37 tff(20740,plain,
% 73.50/46.37 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20741,plain,
% 73.50/46.37 ((v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1))) <=> ((~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20742,plain,
% 73.50/46.37 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1)))),
% 73.50/46.37 inference(monotonicity,[status(thm)],[20741])).
% 73.50/46.37 tff(20743,plain,
% 73.50/46.37 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))),
% 73.50/46.37 inference(transitivity,[status(thm)],[20742, 20740])).
% 73.50/46.37 tff(20744,plain,
% 73.50/46.37 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1)))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20745,plain,
% 73.50/46.37 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1)),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20744, 20743])).
% 73.50/46.37 tff(20746,plain,
% 73.50/46.37 ((~v127(constB141, bitIndex1)) | v130(constB141, bitIndex1)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20745, 555, 20534])).
% 73.50/46.37 tff(20747,plain,
% 73.50/46.37 (~v127(constB141, bitIndex1)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20746, 20739])).
% 73.50/46.37 tff(20748,plain,
% 73.50/46.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20749,plain,
% 73.50/46.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1)))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20750,plain,
% 73.50/46.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1))),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20749, 20748])).
% 73.50/46.37 tff(20751,plain,
% 73.50/46.37 (v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1))),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20750, 588, 20542])).
% 73.50/46.37 tff(20752,plain,
% 73.50/46.37 (~v129(constB142, bitIndex1)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20751, 20747])).
% 73.50/46.37 tff(20753,plain,
% 73.50/46.37 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20754,plain,
% 73.50/46.37 (((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1)) <=> ((~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20755,plain,
% 73.50/46.37 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142))))),
% 73.50/46.37 inference(monotonicity,[status(thm)],[20754])).
% 73.50/46.37 tff(20756,plain,
% 73.50/46.37 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))),
% 73.50/46.37 inference(transitivity,[status(thm)],[20755, 20753])).
% 73.50/46.37 tff(20757,plain,
% 73.50/46.37 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20758,plain,
% 73.50/46.37 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142))),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20757, 20756])).
% 73.50/46.37 tff(20759,plain,
% 73.50/46.37 ((~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20758, 603, 20636])).
% 73.50/46.37 tff(20760,plain,
% 73.50/46.37 (~v90(constB142, bitIndex1)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20759, 20752])).
% 73.50/46.37 tff(20761,plain,
% 73.50/46.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20762,plain,
% 73.50/46.37 (((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1))) <=> (v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20763,plain,
% 73.50/46.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1))))),
% 73.50/46.37 inference(monotonicity,[status(thm)],[20762])).
% 73.50/46.37 tff(20764,plain,
% 73.50/46.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 73.50/46.37 inference(transitivity,[status(thm)],[20763, 20761])).
% 73.50/46.37 tff(20765,plain,
% 73.50/46.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20766,plain,
% 73.50/46.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1))),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20765, 20764])).
% 73.50/46.37 tff(20767,plain,
% 73.50/46.37 (v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1))),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20766, 109, 20650])).
% 73.50/46.37 tff(20768,plain,
% 73.50/46.37 (v90(constB142, bitIndex1) | (~v90(constB143, bitIndex1))),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20767, 20662])).
% 73.50/46.37 tff(20769,plain,
% 73.50/46.37 (~v90(constB143, bitIndex1)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20768, 20760])).
% 73.50/46.37 tff(20770,plain,
% 73.50/46.37 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB143, bitIndex1) | (~v88(constB143, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB143, bitIndex1) | (~v88(constB143, bitIndex1)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20771,plain,
% 73.50/46.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB143, bitIndex1) | (~v88(constB143, bitIndex1)))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20772,plain,
% 73.50/46.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB143, bitIndex1) | (~v88(constB143, bitIndex1))),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20771, 20770])).
% 73.50/46.37 tff(20773,plain,
% 73.50/46.37 (~v88(constB143, bitIndex1)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20772, 6234, 20769])).
% 73.50/46.37 tff(20774,plain,
% 73.50/46.37 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB143, bitIndex1) | (~v88(constB143, bitIndex2)) | (~v88(constB143, bitIndex0)) | v147(constB143))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB143, bitIndex1) | (~v88(constB143, bitIndex2)) | (~v88(constB143, bitIndex0)) | v147(constB143))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20775,plain,
% 73.50/46.37 (((~v88(constB143, bitIndex2)) | v88(constB143, bitIndex1) | (~v88(constB143, bitIndex0)) | v147(constB143)) <=> (v88(constB143, bitIndex1) | (~v88(constB143, bitIndex2)) | (~v88(constB143, bitIndex0)) | v147(constB143))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20776,plain,
% 73.50/46.37 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB143, bitIndex2)) | v88(constB143, bitIndex1) | (~v88(constB143, bitIndex0)) | v147(constB143))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB143, bitIndex1) | (~v88(constB143, bitIndex2)) | (~v88(constB143, bitIndex0)) | v147(constB143)))),
% 73.50/46.37 inference(monotonicity,[status(thm)],[20775])).
% 73.50/46.37 tff(20777,plain,
% 73.50/46.37 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB143, bitIndex2)) | v88(constB143, bitIndex1) | (~v88(constB143, bitIndex0)) | v147(constB143))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB143, bitIndex1) | (~v88(constB143, bitIndex2)) | (~v88(constB143, bitIndex0)) | v147(constB143))),
% 73.50/46.37 inference(transitivity,[status(thm)],[20776, 20774])).
% 73.50/46.37 tff(20778,plain,
% 73.50/46.37 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB143, bitIndex2)) | v88(constB143, bitIndex1) | (~v88(constB143, bitIndex0)) | v147(constB143))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20779,plain,
% 73.50/46.37 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB143, bitIndex1) | (~v88(constB143, bitIndex2)) | (~v88(constB143, bitIndex0)) | v147(constB143)),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20778, 20777])).
% 73.50/46.37 tff(20780,plain,
% 73.50/46.37 (v88(constB143, bitIndex1) | (~v88(constB143, bitIndex2)) | v147(constB143)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20779, 6248, 20695])).
% 73.50/46.37 tff(20781,plain,
% 73.50/46.37 (v147(constB143)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20780, 20773, 20675])).
% 73.50/46.37 tff(20782,plain,
% 73.50/46.37 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB143) | (~v147(constB143)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB143) | (~v147(constB143)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20783,plain,
% 73.50/46.37 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB143) | (~v147(constB143)))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20784,plain,
% 73.50/46.37 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB143) | (~v147(constB143))),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20783, 20782])).
% 73.50/46.37 tff(20785,plain,
% 73.50/46.37 (v145(constB143)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20784, 6262, 20781])).
% 73.50/46.37 tff(20786,plain,
% 73.50/46.37 (((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB143) | (~v145(constB143)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB143) | (~v145(constB143)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20787,plain,
% 73.50/46.37 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB143) | (~v145(constB143)))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20788,plain,
% 73.50/46.37 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB143) | (~v145(constB143))),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20787, 20786])).
% 73.50/46.37 tff(20789,plain,
% 73.50/46.37 (v197(constB143)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20788, 6273, 20785])).
% 73.50/46.37 tff(20790,plain,
% 73.50/46.37 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB143) | v183(constB143) | (~v197(constB143)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB143) | v183(constB143) | (~v197(constB143)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20791,plain,
% 73.50/46.37 (((~v197(constB143)) | v183(constB143) | v228(constB143)) <=> (v228(constB143) | v183(constB143) | (~v197(constB143)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20792,plain,
% 73.50/46.37 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB143)) | v183(constB143) | v228(constB143))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB143) | v183(constB143) | (~v197(constB143))))),
% 73.50/46.37 inference(monotonicity,[status(thm)],[20791])).
% 73.50/46.37 tff(20793,plain,
% 73.50/46.37 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB143)) | v183(constB143) | v228(constB143))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB143) | v183(constB143) | (~v197(constB143)))),
% 73.50/46.37 inference(transitivity,[status(thm)],[20792, 20790])).
% 73.50/46.37 tff(20794,plain,
% 73.50/46.37 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB143)) | v183(constB143) | v228(constB143))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20795,plain,
% 73.50/46.37 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB143) | v183(constB143) | (~v197(constB143))),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20794, 20793])).
% 73.50/46.37 tff(20796,plain,
% 73.50/46.37 (v228(constB143)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20795, 6287, 20789, 20735])).
% 73.50/46.37 tff(20797,plain,
% 73.50/46.37 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB143)) | (~v223(constB143, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB143)) | (~v223(constB143, bitIndex1)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20798,plain,
% 73.50/46.37 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB143)) | (~v223(constB143, bitIndex1)))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20799,plain,
% 73.50/46.37 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB143)) | (~v223(constB143, bitIndex1))),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20798, 20797])).
% 73.50/46.37 tff(20800,plain,
% 73.50/46.37 (~v223(constB143, bitIndex1)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20799, 6301, 20796])).
% 73.50/46.37 tff(20801,plain,
% 73.50/46.37 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB143)) | v223(constB143, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB143)) | v223(constB143, bitIndex1))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20802,plain,
% 73.50/46.37 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB143)) | v223(constB143, bitIndex1))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20803,plain,
% 73.50/46.37 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB143)) | v223(constB143, bitIndex1)),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20802, 20801])).
% 73.50/46.37 tff(20804,plain,
% 73.50/46.37 (~v222(constB143)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20803, 6315, 20800])).
% 73.50/46.37 tff(20805,plain,
% 73.50/46.37 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB143) | v200(constB143) | (~v166(constB143)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB143) | v200(constB143) | (~v166(constB143)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20806,plain,
% 73.50/46.37 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB143) | v200(constB143) | (~v166(constB143)))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20807,plain,
% 73.50/46.37 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB143) | v200(constB143) | (~v166(constB143))),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20806, 20805])).
% 73.50/46.37 tff(20808,plain,
% 73.50/46.37 (~v166(constB143)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20807, 6329, 20714, 20710])).
% 73.50/46.37 tff(20809,plain,
% 73.50/46.37 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB143) | (~v197(constB143)) | v166(constB143))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB143) | (~v197(constB143)) | v166(constB143))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20810,plain,
% 73.50/46.37 (((~v197(constB143)) | v166(constB143) | v241(constB143)) <=> (v241(constB143) | (~v197(constB143)) | v166(constB143))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20811,plain,
% 73.50/46.37 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB143)) | v166(constB143) | v241(constB143))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB143) | (~v197(constB143)) | v166(constB143)))),
% 73.50/46.37 inference(monotonicity,[status(thm)],[20810])).
% 73.50/46.37 tff(20812,plain,
% 73.50/46.37 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB143)) | v166(constB143) | v241(constB143))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB143) | (~v197(constB143)) | v166(constB143))),
% 73.50/46.37 inference(transitivity,[status(thm)],[20811, 20809])).
% 73.50/46.37 tff(20813,plain,
% 73.50/46.37 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB143)) | v166(constB143) | v241(constB143))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20814,plain,
% 73.50/46.37 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB143) | (~v197(constB143)) | v166(constB143)),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20813, 20812])).
% 73.50/46.37 tff(20815,plain,
% 73.50/46.37 (v241(constB143)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20814, 6343, 20789, 20808])).
% 73.50/46.37 tff(20816,plain,
% 73.50/46.37 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB143)) | (~v223(constB143, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB143)) | (~v223(constB143, bitIndex2)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20817,plain,
% 73.50/46.37 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB143)) | (~v223(constB143, bitIndex2)))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20818,plain,
% 73.50/46.37 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB143)) | (~v223(constB143, bitIndex2))),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20817, 20816])).
% 73.50/46.37 tff(20819,plain,
% 73.50/46.37 (~v223(constB143, bitIndex2)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20818, 6357, 20815])).
% 73.50/46.37 tff(20820,plain,
% 73.50/46.37 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB143)) | v223(constB143, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB143)) | v223(constB143, bitIndex2))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20821,plain,
% 73.50/46.37 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB143)) | v223(constB143, bitIndex2))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20822,plain,
% 73.50/46.37 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB143)) | v223(constB143, bitIndex2)),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20821, 20820])).
% 73.50/46.37 tff(20823,plain,
% 73.50/46.37 (~v224(constB143)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20822, 6371, 20819])).
% 73.50/46.37 tff(20824,plain,
% 73.50/46.37 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB143) | v224(constB143) | (~v236(constB143)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB143) | v224(constB143) | (~v236(constB143)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20825,plain,
% 73.50/46.37 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB143) | v224(constB143) | (~v236(constB143)))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20826,plain,
% 73.50/46.37 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB143) | v224(constB143) | (~v236(constB143))),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20825, 20824])).
% 73.50/46.37 tff(20827,plain,
% 73.50/46.37 (~v236(constB143)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20826, 6385, 20823, 20804])).
% 73.50/46.37 tff(20828,plain,
% 73.50/46.37 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB143) | (~v232(constB143)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB143) | (~v232(constB143)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20829,plain,
% 73.50/46.37 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB143) | (~v232(constB143)))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20830,plain,
% 73.50/46.37 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB143) | (~v232(constB143))),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20829, 20828])).
% 73.50/46.37 tff(20831,plain,
% 73.50/46.37 (~v232(constB143)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20830, 6396, 20827])).
% 73.50/46.37 tff(20832,plain,
% 73.50/46.37 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB143)) | v140(constB143) | v139(constB143))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB143)) | v140(constB143) | v139(constB143))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20833,plain,
% 73.50/46.37 ((v140(constB143) | v139(constB143) | (~v148(constB143))) <=> ((~v148(constB143)) | v140(constB143) | v139(constB143))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20834,plain,
% 73.50/46.37 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB143) | v139(constB143) | (~v148(constB143)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB143)) | v140(constB143) | v139(constB143)))),
% 73.50/46.37 inference(monotonicity,[status(thm)],[20833])).
% 73.50/46.37 tff(20835,plain,
% 73.50/46.37 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB143) | v139(constB143) | (~v148(constB143)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB143)) | v140(constB143) | v139(constB143))),
% 73.50/46.37 inference(transitivity,[status(thm)],[20834, 20832])).
% 73.50/46.37 tff(20836,plain,
% 73.50/46.37 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB143) | v139(constB143) | (~v148(constB143)))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20837,plain,
% 73.50/46.37 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB143)) | v140(constB143) | v139(constB143)),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20836, 20835])).
% 73.50/46.37 tff(20838,plain,
% 73.50/46.37 ((~v148(constB143)) | v140(constB143)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20837, 6410, 20702])).
% 73.50/46.37 tff(20839,plain,
% 73.50/46.37 (~v148(constB143)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20838, 20682])).
% 73.50/46.37 tff(20840,plain,
% 73.50/46.37 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB143) | v148(constB143) | (~v197(constB143)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB143) | v148(constB143) | (~v197(constB143)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20841,plain,
% 73.50/46.37 ((v148(constB143) | (~v197(constB143)) | v252(constB143)) <=> (v252(constB143) | v148(constB143) | (~v197(constB143)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20842,plain,
% 73.50/46.37 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB143) | (~v197(constB143)) | v252(constB143))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB143) | v148(constB143) | (~v197(constB143))))),
% 73.50/46.37 inference(monotonicity,[status(thm)],[20841])).
% 73.50/46.37 tff(20843,plain,
% 73.50/46.37 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB143) | (~v197(constB143)) | v252(constB143))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB143) | v148(constB143) | (~v197(constB143)))),
% 73.50/46.37 inference(transitivity,[status(thm)],[20842, 20840])).
% 73.50/46.37 tff(20844,plain,
% 73.50/46.37 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB143) | (~v197(constB143)) | v252(constB143))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20845,plain,
% 73.50/46.37 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB143) | v148(constB143) | (~v197(constB143))),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20844, 20843])).
% 73.50/46.37 tff(20846,plain,
% 73.50/46.37 (v252(constB143)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20845, 6427, 20789, 20839])).
% 73.50/46.37 tff(20847,plain,
% 73.50/46.37 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB143)) | (~v223(constB143, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB143)) | (~v223(constB143, bitIndex3)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20848,plain,
% 73.50/46.37 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB143)) | (~v223(constB143, bitIndex3)))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20849,plain,
% 73.50/46.37 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB143)) | (~v223(constB143, bitIndex3))),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20848, 20847])).
% 73.50/46.37 tff(20850,plain,
% 73.50/46.37 (~v223(constB143, bitIndex3)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20849, 6441, 20846])).
% 73.50/46.37 tff(20851,plain,
% 73.50/46.37 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB143)) | v223(constB143, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB143)) | v223(constB143, bitIndex3))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20852,plain,
% 73.50/46.37 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB143)) | v223(constB143, bitIndex3))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20853,plain,
% 73.50/46.37 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB143)) | v223(constB143, bitIndex3)),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20852, 20851])).
% 73.50/46.37 tff(20854,plain,
% 73.50/46.37 (~v237(constB143)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20853, 6455, 20850])).
% 73.50/46.37 tff(20855,plain,
% 73.50/46.37 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB143) | v232(constB143) | (~v248(constB143)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB143) | v232(constB143) | (~v248(constB143)))),
% 73.50/46.37 inference(rewrite,[status(thm)],[])).
% 73.50/46.37 tff(20856,plain,
% 73.50/46.37 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB143) | v232(constB143) | (~v248(constB143)))),
% 73.50/46.37 inference(quant_inst,[status(thm)],[])).
% 73.50/46.37 tff(20857,plain,
% 73.50/46.37 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB143) | v232(constB143) | (~v248(constB143))),
% 73.50/46.37 inference(modus_ponens,[status(thm)],[20856, 20855])).
% 73.50/46.37 tff(20858,plain,
% 73.50/46.37 (v232(constB143) | (~v248(constB143))),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20857, 6469, 20854])).
% 73.50/46.37 tff(20859,plain,
% 73.50/46.37 (~v248(constB143)),
% 73.50/46.37 inference(unit_resolution,[status(thm)],[20858, 20831])).
% 73.50/46.37 tff(20860,plain,
% 73.50/46.37 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB143) | (~v244(constB143)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB143) | (~v244(constB143)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(20861,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB143) | (~v244(constB143)))),
% 73.50/46.38 inference(quant_inst,[status(thm)],[])).
% 73.50/46.38 tff(20862,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB143) | (~v244(constB143))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20861, 20860])).
% 73.50/46.38 tff(20863,plain,
% 73.50/46.38 (~v244(constB143)),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[20862, 6484, 20859])).
% 73.50/46.38 tff(20864,plain,
% 73.50/46.38 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB143) | (~v216(constB143, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB143) | (~v216(constB143, bitIndex1)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(20865,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB143) | (~v216(constB143, bitIndex1)))),
% 73.50/46.38 inference(quant_inst,[status(thm)],[])).
% 73.50/46.38 tff(20866,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB143) | (~v216(constB143, bitIndex1))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20865, 20864])).
% 73.50/46.38 tff(20867,plain,
% 73.50/46.38 (~v216(constB143, bitIndex1)),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[20866, 6495, 20863])).
% 73.50/46.38 tff(20868,plain,
% 73.50/46.38 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB143)) | v216(constB143, bitIndex1))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB143)) | v216(constB143, bitIndex1))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(20869,plain,
% 73.50/46.38 ((v216(constB143, bitIndex1) | (~v254(constB143))) <=> ((~v254(constB143)) | v216(constB143, bitIndex1))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(20870,plain,
% 73.50/46.38 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB143, bitIndex1) | (~v254(constB143)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB143)) | v216(constB143, bitIndex1)))),
% 73.50/46.38 inference(monotonicity,[status(thm)],[20869])).
% 73.50/46.38 tff(20871,plain,
% 73.50/46.38 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB143, bitIndex1) | (~v254(constB143)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB143)) | v216(constB143, bitIndex1))),
% 73.50/46.38 inference(transitivity,[status(thm)],[20870, 20868])).
% 73.50/46.38 tff(20872,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB143, bitIndex1) | (~v254(constB143)))),
% 73.50/46.38 inference(quant_inst,[status(thm)],[])).
% 73.50/46.38 tff(20873,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB143)) | v216(constB143, bitIndex1)),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20872, 20871])).
% 73.50/46.38 tff(20874,plain,
% 73.50/46.38 (~v254(constB143)),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[20873, 6506, 20867])).
% 73.50/46.38 tff(20875,plain,
% 73.50/46.38 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB143) | (~v221(constB143)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB143) | (~v221(constB143)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(20876,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB143) | (~v221(constB143)))),
% 73.50/46.38 inference(quant_inst,[status(thm)],[])).
% 73.50/46.38 tff(20877,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB143) | (~v221(constB143))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20876, 20875])).
% 73.50/46.38 tff(20878,plain,
% 73.50/46.38 (~v221(constB143)),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[20877, 6517, 20823])).
% 73.50/46.38 tff(20879,plain,
% 73.50/46.38 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB143) | (~v231(constB143)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB143) | (~v231(constB143)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(20880,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB143) | (~v231(constB143)))),
% 73.50/46.38 inference(quant_inst,[status(thm)],[])).
% 73.50/46.38 tff(20881,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB143) | (~v231(constB143))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20880, 20879])).
% 73.50/46.38 tff(20882,plain,
% 73.50/46.38 (~v231(constB143)),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[20881, 6528, 20854])).
% 73.50/46.38 tff(20883,plain,
% 73.50/46.38 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB143) | v231(constB143) | (~v243(constB143)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB143) | v231(constB143) | (~v243(constB143)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(20884,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB143) | v231(constB143) | (~v243(constB143)))),
% 73.50/46.38 inference(quant_inst,[status(thm)],[])).
% 73.50/46.38 tff(20885,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB143) | v231(constB143) | (~v243(constB143))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20884, 20883])).
% 73.50/46.38 tff(20886,plain,
% 73.50/46.38 (v221(constB143) | (~v243(constB143))),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[20885, 6542, 20882])).
% 73.50/46.38 tff(20887,plain,
% 73.50/46.38 (~v243(constB143)),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[20886, 20878])).
% 73.50/46.38 tff(20888,plain,
% 73.50/46.38 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB143) | v255(constB143))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB143) | v255(constB143))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(20889,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB143) | v255(constB143))),
% 73.50/46.38 inference(quant_inst,[status(thm)],[])).
% 73.50/46.38 tff(20890,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB143) | v255(constB143)),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20889, 20888])).
% 73.50/46.38 tff(20891,plain,
% 73.50/46.38 (v255(constB143)),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[20890, 6553, 20887])).
% 73.50/46.38 tff(20892,plain,
% 73.50/46.38 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB143)) | (~v216(constB143, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB143)) | (~v216(constB143, bitIndex2)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(20893,plain,
% 73.50/46.38 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB143)) | (~v216(constB143, bitIndex2)))),
% 73.50/46.38 inference(quant_inst,[status(thm)],[])).
% 73.50/46.38 tff(20894,plain,
% 73.50/46.38 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB143)) | (~v216(constB143, bitIndex2))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20893, 20892])).
% 73.50/46.38 tff(20895,plain,
% 73.50/46.38 (~v216(constB143, bitIndex2)),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[20894, 6564, 20891])).
% 73.50/46.38 tff(20896,plain,
% 73.50/46.38 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB143, bitIndex2) | v254(constB143) | (~v215(constB143)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB143, bitIndex2) | v254(constB143) | (~v215(constB143)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(20897,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB143, bitIndex2) | v254(constB143) | (~v215(constB143)))),
% 73.50/46.38 inference(quant_inst,[status(thm)],[])).
% 73.50/46.38 tff(20898,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB143, bitIndex2) | v254(constB143) | (~v215(constB143))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20897, 20896])).
% 73.50/46.38 tff(20899,plain,
% 73.50/46.38 (v254(constB143) | (~v215(constB143))),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[20898, 6578, 20895])).
% 73.50/46.38 tff(20900,plain,
% 73.50/46.38 (~v215(constB143)),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[20899, 20874])).
% 73.50/46.38 tff(20901,plain,
% 73.50/46.38 ($false),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[20900, 7964])).
% 73.50/46.38 tff(20902,plain,(~(constB143 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.50/46.38 tff(20903,assumption,(constB79 = sK0_VarCurr), introduced(assumption)).
% 73.50/46.38 tff(20904,plain,
% 73.50/46.38 (v215(constB79) <=> v215(sK0_VarCurr)),
% 73.50/46.38 inference(monotonicity,[status(thm)],[20903])).
% 73.50/46.38 tff(20905,plain,
% 73.50/46.38 (v215(sK0_VarCurr) <=> v215(constB79)),
% 73.50/46.38 inference(symmetry,[status(thm)],[20904])).
% 73.50/46.38 tff(20906,plain,
% 73.50/46.38 (v215(constB79)),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[28, 20905])).
% 73.50/46.38 tff(20907,plain,
% 73.50/46.38 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2))) <=> (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2))))),
% 73.50/46.38 inference(bind,[status(th)],[])).
% 73.50/46.38 tff(20908,plain,
% 73.50/46.38 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 73.50/46.38 inference(quant_intro,[status(thm)],[20907])).
% 73.50/46.38 tff(20909,plain,
% 73.50/46.38 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(20910,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_6')).
% 73.50/46.38 tff(20911,plain,
% 73.50/46.38 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20910, 20909])).
% 73.50/46.38 tff(20912,plain,(
% 73.50/46.38 ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 73.50/46.38 inference(skolemize,[status(sab)],[20911])).
% 73.50/46.38 tff(20913,plain,
% 73.50/46.38 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20912, 20908])).
% 73.50/46.38 tff(20914,plain,
% 73.50/46.38 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB79, bitIndex2) | (~v88(constB79, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB79, bitIndex2) | (~v88(constB79, bitIndex2)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(20915,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB79, bitIndex2) | (~v88(constB79, bitIndex2)))),
% 73.50/46.38 inference(quant_inst,[status(thm)],[])).
% 73.50/46.38 tff(20916,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB79, bitIndex2) | (~v88(constB79, bitIndex2))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20915, 20914])).
% 73.50/46.38 tff(20917,plain,
% 73.50/46.38 (~v88(constB79, bitIndex2)),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[20916, 20913, 13043])).
% 73.50/46.38 tff(20918,plain,
% 73.50/46.38 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)))),
% 73.50/46.38 inference(bind,[status(th)],[])).
% 73.50/46.38 tff(20919,plain,
% 73.50/46.38 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 73.50/46.38 inference(quant_intro,[status(thm)],[20918])).
% 73.50/46.38 tff(20920,plain,
% 73.50/46.38 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(20921,plain,
% 73.50/46.38 (^[VarCurr: $i] : rewrite((v88(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex1))) <=> ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)))),
% 73.50/46.38 inference(bind,[status(th)],[])).
% 73.50/46.38 tff(20922,plain,
% 73.50/46.38 (![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 73.50/46.38 inference(quant_intro,[status(thm)],[20921])).
% 73.50/46.38 tff(20923,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_3')).
% 73.50/46.38 tff(20924,plain,
% 73.50/46.38 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20923, 20922])).
% 73.50/46.38 tff(20925,plain,
% 73.50/46.38 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20924, 20920])).
% 73.50/46.38 tff(20926,plain,(
% 73.50/46.38 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 73.50/46.38 inference(skolemize,[status(sab)],[20925])).
% 73.50/46.38 tff(20927,plain,
% 73.50/46.38 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20926, 20919])).
% 73.50/46.38 tff(20928,plain,
% 73.50/46.38 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB79, bitIndex1)) | v88(constB79, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB79, bitIndex1)) | v88(constB79, bitIndex1))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(20929,plain,
% 73.50/46.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB79, bitIndex1)) | v88(constB79, bitIndex1))),
% 73.50/46.38 inference(quant_inst,[status(thm)],[])).
% 73.50/46.38 tff(20930,plain,
% 73.50/46.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB79, bitIndex1)) | v88(constB79, bitIndex1)),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20929, 20928])).
% 73.50/46.38 tff(20931,plain,
% 73.50/46.38 (v88(constB79, bitIndex1)),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[20930, 20927, 13074])).
% 73.50/46.38 tff(20932,plain,
% 73.50/46.38 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB79, bitIndex0)) | v88(constB79, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB79, bitIndex0)) | v88(constB79, bitIndex0))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(20933,plain,
% 73.50/46.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB79, bitIndex0)) | v88(constB79, bitIndex0))),
% 73.50/46.38 inference(quant_inst,[status(thm)],[])).
% 73.50/46.38 tff(20934,plain,
% 73.50/46.38 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB79, bitIndex0)) | v88(constB79, bitIndex0)),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20933, 20932])).
% 73.50/46.38 tff(20935,plain,
% 73.50/46.38 (v88(constB79, bitIndex0)),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[20934, 6074, 13105])).
% 73.50/46.38 tff(20936,plain,
% 73.50/46.38 (^[VarCurr: $i] : refl((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)))),
% 73.50/46.38 inference(bind,[status(th)],[])).
% 73.50/46.38 tff(20937,plain,
% 73.50/46.38 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 73.50/46.38 inference(quant_intro,[status(thm)],[20936])).
% 73.50/46.38 tff(20938,plain,
% 73.50/46.38 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(20939,plain,
% 73.50/46.38 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v141(VarCurr) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex0))) <=> ((~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))), ((((v141(VarCurr) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) <=> (((~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) | v88(VarCurr, bitIndex2)))), rewrite((((~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr)) | v88(VarCurr, bitIndex2)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))), ((((v141(VarCurr) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))))),
% 73.50/46.38 inference(bind,[status(th)],[])).
% 73.50/46.38 tff(20940,plain,
% 73.50/46.38 (![VarCurr: $i] : (((v141(VarCurr) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 73.50/46.38 inference(quant_intro,[status(thm)],[20939])).
% 73.50/46.38 tff(20941,axiom,(![VarCurr: $i] : (((v141(VarCurr) | (~v88(VarCurr, bitIndex1))) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_1_1')).
% 73.50/46.38 tff(20942,plain,
% 73.50/46.38 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20941, 20940])).
% 73.50/46.38 tff(20943,plain,
% 73.50/46.38 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20942, 20938])).
% 73.50/46.38 tff(20944,plain,(
% 73.50/46.38 ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 73.50/46.38 inference(skolemize,[status(sab)],[20943])).
% 73.50/46.38 tff(20945,plain,
% 73.50/46.38 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20944, 20937])).
% 73.50/46.38 tff(20946,plain,
% 73.50/46.38 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0)) | (~v88(constB79, bitIndex1)) | v141(constB79))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0)) | (~v88(constB79, bitIndex1)) | v141(constB79))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(20947,plain,
% 73.50/46.38 ((v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | (~v88(constB79, bitIndex0)) | v141(constB79)) <=> (v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0)) | (~v88(constB79, bitIndex1)) | v141(constB79))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(20948,plain,
% 73.50/46.38 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | (~v88(constB79, bitIndex0)) | v141(constB79))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0)) | (~v88(constB79, bitIndex1)) | v141(constB79)))),
% 73.50/46.38 inference(monotonicity,[status(thm)],[20947])).
% 73.50/46.38 tff(20949,plain,
% 73.50/46.38 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | (~v88(constB79, bitIndex0)) | v141(constB79))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0)) | (~v88(constB79, bitIndex1)) | v141(constB79))),
% 73.50/46.38 inference(transitivity,[status(thm)],[20948, 20946])).
% 73.50/46.38 tff(20950,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | (~v88(constB79, bitIndex0)) | v141(constB79))),
% 73.50/46.38 inference(quant_inst,[status(thm)],[])).
% 73.50/46.38 tff(20951,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0)) | (~v88(constB79, bitIndex1)) | v141(constB79)),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20950, 20949])).
% 73.50/46.38 tff(20952,plain,
% 73.50/46.38 (v141(constB79)),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[20951, 20945, 20935, 20931, 20917])).
% 73.50/46.38 tff(20953,plain,
% 73.50/46.38 (^[VarCurr: $i] : refl((v199(VarCurr) | (~v141(VarCurr))) <=> (v199(VarCurr) | (~v141(VarCurr))))),
% 73.50/46.38 inference(bind,[status(th)],[])).
% 73.50/46.38 tff(20954,plain,
% 73.50/46.38 (![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))),
% 73.50/46.38 inference(quant_intro,[status(thm)],[20953])).
% 73.50/46.38 tff(20955,plain,
% 73.50/46.38 (![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(20956,axiom,(![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_49_1_1_2')).
% 73.50/46.38 tff(20957,plain,
% 73.50/46.38 (![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20956, 20955])).
% 73.50/46.38 tff(20958,plain,(
% 73.50/46.38 ![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))),
% 73.50/46.38 inference(skolemize,[status(sab)],[20957])).
% 73.50/46.38 tff(20959,plain,
% 73.50/46.38 (![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20958, 20954])).
% 73.50/46.38 tff(20960,plain,
% 73.50/46.38 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB79) | (~v141(constB79)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB79) | (~v141(constB79)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(20961,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB79) | (~v141(constB79)))),
% 73.50/46.38 inference(quant_inst,[status(thm)],[])).
% 73.50/46.38 tff(20962,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB79) | (~v141(constB79))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20961, 20960])).
% 73.50/46.38 tff(20963,plain,
% 73.50/46.38 (v199(constB79)),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[20962, 20959, 20952])).
% 73.50/46.38 tff(20964,plain,
% 73.50/46.38 (^[VarCurr: $i] : refl((v198(VarCurr) | (~v199(VarCurr))) <=> (v198(VarCurr) | (~v199(VarCurr))))),
% 73.50/46.38 inference(bind,[status(th)],[])).
% 73.50/46.38 tff(20965,plain,
% 73.50/46.38 (![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr))) <=> ![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))),
% 73.50/46.38 inference(quant_intro,[status(thm)],[20964])).
% 73.50/46.38 tff(20966,plain,
% 73.50/46.38 (![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr))) <=> ![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(20967,axiom,(![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_50_1_1_1')).
% 73.50/46.38 tff(20968,plain,
% 73.50/46.38 (![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20967, 20966])).
% 73.50/46.38 tff(20969,plain,(
% 73.50/46.38 ![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))),
% 73.50/46.38 inference(skolemize,[status(sab)],[20968])).
% 73.50/46.38 tff(20970,plain,
% 73.50/46.38 (![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20969, 20965])).
% 73.50/46.38 tff(20971,plain,
% 73.50/46.38 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB79) | (~v199(constB79)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB79) | (~v199(constB79)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(20972,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB79) | (~v199(constB79)))),
% 73.50/46.38 inference(quant_inst,[status(thm)],[])).
% 73.50/46.38 tff(20973,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB79) | (~v199(constB79))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20972, 20971])).
% 73.50/46.38 tff(20974,plain,
% 73.50/46.38 (v198(constB79)),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[20973, 20970, 20963])).
% 73.50/46.38 tff(20975,plain,
% 73.50/46.38 (^[VarCurr: $i] : refl(((~v198(VarCurr)) | (~v201(VarCurr))) <=> ((~v198(VarCurr)) | (~v201(VarCurr))))),
% 73.50/46.38 inference(bind,[status(th)],[])).
% 73.50/46.38 tff(20976,plain,
% 73.50/46.38 (![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr))) <=> ![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))),
% 73.50/46.38 inference(quant_intro,[status(thm)],[20975])).
% 73.50/46.38 tff(20977,plain,
% 73.50/46.38 (![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr))) <=> ![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(20978,plain,
% 73.50/46.38 (^[VarCurr: $i] : rewrite(((~v201(VarCurr)) | (~v198(VarCurr))) <=> ((~v198(VarCurr)) | (~v201(VarCurr))))),
% 73.50/46.38 inference(bind,[status(th)],[])).
% 73.50/46.38 tff(20979,plain,
% 73.50/46.38 (![VarCurr: $i] : ((~v201(VarCurr)) | (~v198(VarCurr))) <=> ![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))),
% 73.50/46.38 inference(quant_intro,[status(thm)],[20978])).
% 73.50/46.38 tff(20980,axiom,(![VarCurr: $i] : ((~v201(VarCurr)) | (~v198(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_5_1_1_1')).
% 73.50/46.38 tff(20981,plain,
% 73.50/46.38 (![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20980, 20979])).
% 73.50/46.38 tff(20982,plain,
% 73.50/46.38 (![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20981, 20977])).
% 73.50/46.38 tff(20983,plain,(
% 73.50/46.38 ![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))),
% 73.50/46.38 inference(skolemize,[status(sab)],[20982])).
% 73.50/46.38 tff(20984,plain,
% 73.50/46.38 (![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20983, 20976])).
% 73.50/46.38 tff(20985,plain,
% 73.50/46.38 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB79)) | (~v201(constB79)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB79)) | (~v201(constB79)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(20986,plain,
% 73.50/46.38 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB79)) | (~v201(constB79)))),
% 73.50/46.38 inference(quant_inst,[status(thm)],[])).
% 73.50/46.38 tff(20987,plain,
% 73.50/46.38 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB79)) | (~v201(constB79))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20986, 20985])).
% 73.50/46.38 tff(20988,plain,
% 73.50/46.38 (~v201(constB79)),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[20987, 20984, 20974])).
% 73.50/46.38 tff(20989,plain,
% 73.50/46.38 (^[VarCurr: $i] : refl((v197(VarCurr) | (~v198(VarCurr))) <=> (v197(VarCurr) | (~v198(VarCurr))))),
% 73.50/46.38 inference(bind,[status(th)],[])).
% 73.50/46.38 tff(20990,plain,
% 73.50/46.38 (![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr))) <=> ![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))),
% 73.50/46.38 inference(quant_intro,[status(thm)],[20989])).
% 73.50/46.38 tff(20991,plain,
% 73.50/46.38 (![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr))) <=> ![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(20992,axiom,(![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_51_1_1_1')).
% 73.50/46.38 tff(20993,plain,
% 73.50/46.38 (![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20992, 20991])).
% 73.50/46.38 tff(20994,plain,(
% 73.50/46.38 ![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))),
% 73.50/46.38 inference(skolemize,[status(sab)],[20993])).
% 73.50/46.38 tff(20995,plain,
% 73.50/46.38 (![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20994, 20990])).
% 73.50/46.38 tff(20996,plain,
% 73.50/46.38 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB79) | (~v198(constB79)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB79) | (~v198(constB79)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(20997,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB79) | (~v198(constB79)))),
% 73.50/46.38 inference(quant_inst,[status(thm)],[])).
% 73.50/46.38 tff(20998,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB79) | (~v198(constB79))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[20997, 20996])).
% 73.50/46.38 tff(20999,plain,
% 73.50/46.38 (v197(constB79)),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[20998, 20995, 20974])).
% 73.50/46.38 tff(21000,plain,
% 73.50/46.38 (^[VarNext: $i] : refl(((~v197(VarNext)) | v201(VarNext) | v227(VarNext)) <=> ((~v197(VarNext)) | v201(VarNext) | v227(VarNext)))),
% 73.50/46.38 inference(bind,[status(th)],[])).
% 73.50/46.38 tff(21001,plain,
% 73.50/46.38 (![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext)) <=> ![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))),
% 73.50/46.38 inference(quant_intro,[status(thm)],[21000])).
% 73.50/46.38 tff(21002,plain,
% 73.50/46.38 (![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext)) <=> ![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(21003,plain,
% 73.50/46.38 (^[VarNext: $i] : rewrite(((v201(VarNext) | v227(VarNext)) | (~v197(VarNext))) <=> ((~v197(VarNext)) | v201(VarNext) | v227(VarNext)))),
% 73.50/46.38 inference(bind,[status(th)],[])).
% 73.50/46.38 tff(21004,plain,
% 73.50/46.38 (![VarNext: $i] : ((v201(VarNext) | v227(VarNext)) | (~v197(VarNext))) <=> ![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))),
% 73.50/46.38 inference(quant_intro,[status(thm)],[21003])).
% 73.50/46.38 tff(21005,axiom,(![VarNext: $i] : ((v201(VarNext) | v227(VarNext)) | (~v197(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_7_1_2')).
% 73.50/46.38 tff(21006,plain,
% 73.50/46.38 (![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[21005, 21004])).
% 73.50/46.38 tff(21007,plain,
% 73.50/46.38 (![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[21006, 21002])).
% 73.50/46.38 tff(21008,plain,(
% 73.50/46.38 ![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))),
% 73.50/46.38 inference(skolemize,[status(sab)],[21007])).
% 73.50/46.38 tff(21009,plain,
% 73.50/46.38 (![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[21008, 21001])).
% 73.50/46.38 tff(21010,plain,
% 73.50/46.38 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB79) | v201(constB79) | (~v197(constB79)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB79) | v201(constB79) | (~v197(constB79)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(21011,plain,
% 73.50/46.38 (((~v197(constB79)) | v201(constB79) | v227(constB79)) <=> (v227(constB79) | v201(constB79) | (~v197(constB79)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(21012,plain,
% 73.50/46.38 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB79)) | v201(constB79) | v227(constB79))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB79) | v201(constB79) | (~v197(constB79))))),
% 73.50/46.38 inference(monotonicity,[status(thm)],[21011])).
% 73.50/46.38 tff(21013,plain,
% 73.50/46.38 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB79)) | v201(constB79) | v227(constB79))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB79) | v201(constB79) | (~v197(constB79)))),
% 73.50/46.38 inference(transitivity,[status(thm)],[21012, 21010])).
% 73.50/46.38 tff(21014,plain,
% 73.50/46.38 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB79)) | v201(constB79) | v227(constB79))),
% 73.50/46.38 inference(quant_inst,[status(thm)],[])).
% 73.50/46.38 tff(21015,plain,
% 73.50/46.38 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB79) | v201(constB79) | (~v197(constB79))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[21014, 21013])).
% 73.50/46.38 tff(21016,plain,
% 73.50/46.38 (v227(constB79)),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[21015, 21009, 20999, 20988])).
% 73.50/46.38 tff(21017,plain,
% 73.50/46.38 (^[VarCurr: $i] : refl(((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0))) <=> ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0))))),
% 73.50/46.38 inference(bind,[status(th)],[])).
% 73.50/46.38 tff(21018,plain,
% 73.50/46.38 (![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))),
% 73.50/46.38 inference(quant_intro,[status(thm)],[21017])).
% 73.50/46.38 tff(21019,plain,
% 73.50/46.38 (![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(21020,axiom,(![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_15_1_1')).
% 73.50/46.38 tff(21021,plain,
% 73.50/46.38 (![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[21020, 21019])).
% 73.50/46.38 tff(21022,plain,(
% 73.50/46.38 ![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))),
% 73.50/46.38 inference(skolemize,[status(sab)],[21021])).
% 73.50/46.38 tff(21023,plain,
% 73.50/46.38 (![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[21022, 21018])).
% 73.50/46.38 tff(21024,plain,
% 73.50/46.38 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB79)) | (~v223(constB79, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB79)) | (~v223(constB79, bitIndex0)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(21025,plain,
% 73.50/46.38 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB79)) | (~v223(constB79, bitIndex0)))),
% 73.50/46.38 inference(quant_inst,[status(thm)],[])).
% 73.50/46.38 tff(21026,plain,
% 73.50/46.38 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB79)) | (~v223(constB79, bitIndex0))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[21025, 21024])).
% 73.50/46.38 tff(21027,plain,
% 73.50/46.38 (~v223(constB79, bitIndex0)),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[21026, 21023, 21016])).
% 73.50/46.38 tff(21028,plain,
% 73.50/46.38 (^[VarCurr: $i] : refl(((~v183(VarCurr)) | (~v199(VarCurr))) <=> ((~v183(VarCurr)) | (~v199(VarCurr))))),
% 73.50/46.38 inference(bind,[status(th)],[])).
% 73.50/46.38 tff(21029,plain,
% 73.50/46.38 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr))) <=> ![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))),
% 73.50/46.38 inference(quant_intro,[status(thm)],[21028])).
% 73.50/46.38 tff(21030,plain,
% 73.50/46.38 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr))) <=> ![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(21031,axiom,(![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_1_1_1')).
% 73.50/46.38 tff(21032,plain,
% 73.50/46.38 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[21031, 21030])).
% 73.50/46.38 tff(21033,plain,(
% 73.50/46.38 ![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))),
% 73.50/46.38 inference(skolemize,[status(sab)],[21032])).
% 73.50/46.38 tff(21034,plain,
% 73.50/46.38 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[21033, 21029])).
% 73.50/46.38 tff(21035,plain,
% 73.50/46.38 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB79)) | (~v199(constB79)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB79)) | (~v199(constB79)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(21036,plain,
% 73.50/46.38 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB79)) | (~v199(constB79)))),
% 73.50/46.38 inference(quant_inst,[status(thm)],[])).
% 73.50/46.38 tff(21037,plain,
% 73.50/46.38 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB79)) | (~v199(constB79))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[21036, 21035])).
% 73.50/46.38 tff(21038,plain,
% 73.50/46.38 (~v183(constB79)),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[21037, 21034, 20963])).
% 73.50/46.38 tff(21039,plain,
% 73.50/46.38 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB79) | v183(constB79) | (~v197(constB79)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB79) | v183(constB79) | (~v197(constB79)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(21040,plain,
% 73.50/46.38 (((~v197(constB79)) | v183(constB79) | v228(constB79)) <=> (v228(constB79) | v183(constB79) | (~v197(constB79)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(21041,plain,
% 73.50/46.38 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB79)) | v183(constB79) | v228(constB79))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB79) | v183(constB79) | (~v197(constB79))))),
% 73.50/46.38 inference(monotonicity,[status(thm)],[21040])).
% 73.50/46.38 tff(21042,plain,
% 73.50/46.38 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB79)) | v183(constB79) | v228(constB79))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB79) | v183(constB79) | (~v197(constB79)))),
% 73.50/46.38 inference(transitivity,[status(thm)],[21041, 21039])).
% 73.50/46.38 tff(21043,plain,
% 73.50/46.38 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB79)) | v183(constB79) | v228(constB79))),
% 73.50/46.38 inference(quant_inst,[status(thm)],[])).
% 73.50/46.38 tff(21044,plain,
% 73.50/46.38 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB79) | v183(constB79) | (~v197(constB79))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[21043, 21042])).
% 73.50/46.38 tff(21045,plain,
% 73.50/46.38 (v228(constB79)),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[21044, 6287, 20999, 21038])).
% 73.50/46.38 tff(21046,plain,
% 73.50/46.38 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB79)) | (~v223(constB79, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB79)) | (~v223(constB79, bitIndex1)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(21047,plain,
% 73.50/46.38 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB79)) | (~v223(constB79, bitIndex1)))),
% 73.50/46.38 inference(quant_inst,[status(thm)],[])).
% 73.50/46.38 tff(21048,plain,
% 73.50/46.38 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB79)) | (~v223(constB79, bitIndex1))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[21047, 21046])).
% 73.50/46.38 tff(21049,plain,
% 73.50/46.38 (~v223(constB79, bitIndex1)),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[21048, 6301, 21045])).
% 73.50/46.38 tff(21050,plain,
% 73.50/46.38 (^[VarCurr: $i] : refl((v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr))) <=> (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr))))),
% 73.50/46.38 inference(bind,[status(th)],[])).
% 73.50/46.38 tff(21051,plain,
% 73.50/46.38 (![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr))) <=> ![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))),
% 73.50/46.38 inference(quant_intro,[status(thm)],[21050])).
% 73.50/46.38 tff(21052,plain,
% 73.50/46.38 (![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr))) <=> ![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(21053,plain,
% 73.50/46.38 (^[VarCurr: $i] : trans(monotonicity(rewrite((v223(VarCurr, bitIndex1) | v223(VarCurr, bitIndex0)) <=> (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1))), (((v223(VarCurr, bitIndex1) | v223(VarCurr, bitIndex0)) | (~v229(VarCurr))) <=> ((v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1)) | (~v229(VarCurr))))), rewrite(((v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1)) | (~v229(VarCurr))) <=> (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))), (((v223(VarCurr, bitIndex1) | v223(VarCurr, bitIndex0)) | (~v229(VarCurr))) <=> (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))))),
% 73.50/46.38 inference(bind,[status(th)],[])).
% 73.50/46.38 tff(21054,plain,
% 73.50/46.38 (![VarCurr: $i] : ((v223(VarCurr, bitIndex1) | v223(VarCurr, bitIndex0)) | (~v229(VarCurr))) <=> ![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))),
% 73.50/46.38 inference(quant_intro,[status(thm)],[21053])).
% 73.50/46.38 tff(21055,axiom,(![VarCurr: $i] : ((v223(VarCurr, bitIndex1) | v223(VarCurr, bitIndex0)) | (~v229(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_56_1_3')).
% 73.50/46.38 tff(21056,plain,
% 73.50/46.38 (![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[21055, 21054])).
% 73.50/46.38 tff(21057,plain,
% 73.50/46.38 (![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[21056, 21052])).
% 73.50/46.38 tff(21058,plain,(
% 73.50/46.38 ![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))),
% 73.50/46.38 inference(skolemize,[status(sab)],[21057])).
% 73.50/46.38 tff(21059,plain,
% 73.50/46.38 (![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[21058, 21051])).
% 73.50/46.38 tff(21060,plain,
% 73.50/46.38 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB79, bitIndex1) | v223(constB79, bitIndex0) | (~v229(constB79)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB79, bitIndex1) | v223(constB79, bitIndex0) | (~v229(constB79)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(21061,plain,
% 73.50/46.38 ((v223(constB79, bitIndex0) | v223(constB79, bitIndex1) | (~v229(constB79))) <=> (v223(constB79, bitIndex1) | v223(constB79, bitIndex0) | (~v229(constB79)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(21062,plain,
% 73.50/46.38 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB79, bitIndex0) | v223(constB79, bitIndex1) | (~v229(constB79)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB79, bitIndex1) | v223(constB79, bitIndex0) | (~v229(constB79))))),
% 73.50/46.38 inference(monotonicity,[status(thm)],[21061])).
% 73.50/46.38 tff(21063,plain,
% 73.50/46.38 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB79, bitIndex0) | v223(constB79, bitIndex1) | (~v229(constB79)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB79, bitIndex1) | v223(constB79, bitIndex0) | (~v229(constB79)))),
% 73.50/46.38 inference(transitivity,[status(thm)],[21062, 21060])).
% 73.50/46.38 tff(21064,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB79, bitIndex0) | v223(constB79, bitIndex1) | (~v229(constB79)))),
% 73.50/46.38 inference(quant_inst,[status(thm)],[])).
% 73.50/46.38 tff(21065,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB79, bitIndex1) | v223(constB79, bitIndex0) | (~v229(constB79))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[21064, 21063])).
% 73.50/46.38 tff(21066,plain,
% 73.50/46.38 (~v229(constB79)),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[21065, 21059, 21049, 21027])).
% 73.50/46.38 tff(21067,plain,
% 73.50/46.38 (^[VarCurr: $i] : refl((v229(VarCurr) | (~v225(VarCurr))) <=> (v229(VarCurr) | (~v225(VarCurr))))),
% 73.50/46.38 inference(bind,[status(th)],[])).
% 73.50/46.38 tff(21068,plain,
% 73.50/46.38 (![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr))) <=> ![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))),
% 73.50/46.38 inference(quant_intro,[status(thm)],[21067])).
% 73.50/46.38 tff(21069,plain,
% 73.50/46.38 (![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr))) <=> ![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(21070,axiom,(![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_57_1_2')).
% 73.50/46.38 tff(21071,plain,
% 73.50/46.38 (![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[21070, 21069])).
% 73.50/46.38 tff(21072,plain,(
% 73.50/46.38 ![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))),
% 73.50/46.38 inference(skolemize,[status(sab)],[21071])).
% 73.50/46.38 tff(21073,plain,
% 73.50/46.38 (![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[21072, 21068])).
% 73.50/46.38 tff(21074,plain,
% 73.50/46.38 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB79) | (~v225(constB79)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB79) | (~v225(constB79)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(21075,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB79) | (~v225(constB79)))),
% 73.50/46.38 inference(quant_inst,[status(thm)],[])).
% 73.50/46.38 tff(21076,plain,
% 73.50/46.38 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB79) | (~v225(constB79))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[21075, 21074])).
% 73.50/46.38 tff(21077,plain,
% 73.50/46.38 (~v225(constB79)),
% 73.50/46.38 inference(unit_resolution,[status(thm)],[21076, 21073, 21066])).
% 73.50/46.38 tff(21078,plain,
% 73.50/46.38 (^[VarCurr: $i] : refl((v225(VarCurr) | (~v224(VarCurr))) <=> (v225(VarCurr) | (~v224(VarCurr))))),
% 73.50/46.38 inference(bind,[status(th)],[])).
% 73.50/46.38 tff(21079,plain,
% 73.50/46.38 (![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr))) <=> ![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))),
% 73.50/46.38 inference(quant_intro,[status(thm)],[21078])).
% 73.50/46.38 tff(21080,plain,
% 73.50/46.38 (![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr))) <=> ![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))),
% 73.50/46.38 inference(rewrite,[status(thm)],[])).
% 73.50/46.38 tff(21081,axiom,(![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_58_1_3')).
% 73.50/46.38 tff(21082,plain,
% 73.50/46.38 (![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))),
% 73.50/46.38 inference(modus_ponens,[status(thm)],[21081, 21080])).
% 73.50/46.38 tff(21083,plain,(
% 73.50/46.38 ![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))),
% 73.50/46.39 inference(skolemize,[status(sab)],[21082])).
% 73.50/46.39 tff(21084,plain,
% 73.50/46.39 (![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21083, 21079])).
% 73.50/46.39 tff(21085,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB79) | (~v224(constB79)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB79) | (~v224(constB79)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21086,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB79) | (~v224(constB79)))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21087,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB79) | (~v224(constB79))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21086, 21085])).
% 73.50/46.39 tff(21088,plain,
% 73.50/46.39 (~v224(constB79)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21087, 21084, 21077])).
% 73.50/46.39 tff(21089,plain,
% 73.50/46.39 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB79)) | v223(constB79, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB79)) | v223(constB79, bitIndex1))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21090,plain,
% 73.50/46.39 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB79)) | v223(constB79, bitIndex1))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21091,plain,
% 73.50/46.39 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB79)) | v223(constB79, bitIndex1)),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21090, 21089])).
% 73.50/46.39 tff(21092,plain,
% 73.50/46.39 (~v222(constB79)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21091, 6315, 21049])).
% 73.50/46.39 tff(21093,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB79) | v224(constB79) | (~v236(constB79)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB79) | v224(constB79) | (~v236(constB79)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21094,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB79) | v224(constB79) | (~v236(constB79)))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21095,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB79) | v224(constB79) | (~v236(constB79))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21094, 21093])).
% 73.50/46.39 tff(21096,plain,
% 73.50/46.39 (v224(constB79) | (~v236(constB79))),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21095, 6385, 21092])).
% 73.50/46.39 tff(21097,plain,
% 73.50/46.39 (~v236(constB79)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21096, 21088])).
% 73.50/46.39 tff(21098,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB79) | (~v232(constB79)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB79) | (~v232(constB79)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21099,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB79) | (~v232(constB79)))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21100,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB79) | (~v232(constB79))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21099, 21098])).
% 73.50/46.39 tff(21101,plain,
% 73.50/46.39 (~v232(constB79)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21100, 6396, 21097])).
% 73.50/46.39 tff(21102,plain,
% 73.50/46.39 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr))) <=> ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr))))),
% 73.50/46.39 inference(bind,[status(th)],[])).
% 73.50/46.39 tff(21103,plain,
% 73.50/46.39 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))),
% 73.50/46.39 inference(quant_intro,[status(thm)],[21102])).
% 73.50/46.39 tff(21104,plain,
% 73.50/46.39 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21105,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_4')).
% 73.50/46.39 tff(21106,plain,
% 73.50/46.39 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21105, 21104])).
% 73.50/46.39 tff(21107,plain,(
% 73.50/46.39 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))),
% 73.50/46.39 inference(skolemize,[status(sab)],[21106])).
% 73.50/46.39 tff(21108,plain,
% 73.50/46.39 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21107, 21103])).
% 73.50/46.39 tff(21109,plain,
% 73.50/46.39 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB79, bitIndex1)) | (~v140(constB79)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB79, bitIndex1)) | (~v140(constB79)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21110,plain,
% 73.50/46.39 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB79, bitIndex1)) | (~v140(constB79)))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21111,plain,
% 73.50/46.39 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB79, bitIndex1)) | (~v140(constB79))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21110, 21109])).
% 73.50/46.39 tff(21112,plain,
% 73.50/46.39 (~v140(constB79)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21111, 21108, 20931])).
% 73.50/46.39 tff(21113,plain,
% 73.50/46.39 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB79, bitIndex0)) | (~v139(constB79)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB79, bitIndex0)) | (~v139(constB79)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21114,plain,
% 73.50/46.39 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB79, bitIndex0)) | (~v139(constB79)))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21115,plain,
% 73.50/46.39 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB79, bitIndex0)) | (~v139(constB79))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21114, 21113])).
% 73.50/46.39 tff(21116,plain,
% 73.50/46.39 (~v139(constB79)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21115, 6085, 20935])).
% 73.50/46.39 tff(21117,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v139(constB79) | v140(constB79) | (~v148(constB79)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v139(constB79) | v140(constB79) | (~v148(constB79)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21118,plain,
% 73.50/46.39 ((v140(constB79) | v139(constB79) | (~v148(constB79))) <=> (v139(constB79) | v140(constB79) | (~v148(constB79)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21119,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB79) | v139(constB79) | (~v148(constB79)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v139(constB79) | v140(constB79) | (~v148(constB79))))),
% 73.50/46.39 inference(monotonicity,[status(thm)],[21118])).
% 73.50/46.39 tff(21120,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB79) | v139(constB79) | (~v148(constB79)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v139(constB79) | v140(constB79) | (~v148(constB79)))),
% 73.50/46.39 inference(transitivity,[status(thm)],[21119, 21117])).
% 73.50/46.39 tff(21121,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB79) | v139(constB79) | (~v148(constB79)))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21122,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v139(constB79) | v140(constB79) | (~v148(constB79))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21121, 21120])).
% 73.50/46.39 tff(21123,plain,
% 73.50/46.39 (~v148(constB79)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21122, 6410, 21116, 21112])).
% 73.50/46.39 tff(21124,plain,
% 73.50/46.39 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB79) | v148(constB79) | (~v197(constB79)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB79) | v148(constB79) | (~v197(constB79)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21125,plain,
% 73.50/46.39 ((v148(constB79) | (~v197(constB79)) | v252(constB79)) <=> (v252(constB79) | v148(constB79) | (~v197(constB79)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21126,plain,
% 73.50/46.39 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB79) | (~v197(constB79)) | v252(constB79))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB79) | v148(constB79) | (~v197(constB79))))),
% 73.50/46.39 inference(monotonicity,[status(thm)],[21125])).
% 73.50/46.39 tff(21127,plain,
% 73.50/46.39 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB79) | (~v197(constB79)) | v252(constB79))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB79) | v148(constB79) | (~v197(constB79)))),
% 73.50/46.39 inference(transitivity,[status(thm)],[21126, 21124])).
% 73.50/46.39 tff(21128,plain,
% 73.50/46.39 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB79) | (~v197(constB79)) | v252(constB79))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21129,plain,
% 73.50/46.39 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB79) | v148(constB79) | (~v197(constB79))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21128, 21127])).
% 73.50/46.39 tff(21130,plain,
% 73.50/46.39 (v252(constB79) | (~v197(constB79))),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21129, 6427, 21123])).
% 73.50/46.39 tff(21131,plain,
% 73.50/46.39 (v252(constB79)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21130, 20999])).
% 73.50/46.39 tff(21132,plain,
% 73.50/46.39 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB79)) | (~v223(constB79, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB79)) | (~v223(constB79, bitIndex3)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21133,plain,
% 73.50/46.39 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB79)) | (~v223(constB79, bitIndex3)))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21134,plain,
% 73.50/46.39 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB79)) | (~v223(constB79, bitIndex3))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21133, 21132])).
% 73.50/46.39 tff(21135,plain,
% 73.50/46.39 (~v223(constB79, bitIndex3)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21134, 6441, 21131])).
% 73.50/46.39 tff(21136,plain,
% 73.50/46.39 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB79)) | v223(constB79, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB79)) | v223(constB79, bitIndex3))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21137,plain,
% 73.50/46.39 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB79)) | v223(constB79, bitIndex3))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21138,plain,
% 73.50/46.39 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB79)) | v223(constB79, bitIndex3)),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21137, 21136])).
% 73.50/46.39 tff(21139,plain,
% 73.50/46.39 (~v237(constB79)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21138, 6455, 21135])).
% 73.50/46.39 tff(21140,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB79) | (~v248(constB79)) | v232(constB79))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB79) | (~v248(constB79)) | v232(constB79))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21141,plain,
% 73.50/46.39 ((v237(constB79) | v232(constB79) | (~v248(constB79))) <=> (v237(constB79) | (~v248(constB79)) | v232(constB79))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21142,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB79) | v232(constB79) | (~v248(constB79)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB79) | (~v248(constB79)) | v232(constB79)))),
% 73.50/46.39 inference(monotonicity,[status(thm)],[21141])).
% 73.50/46.39 tff(21143,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB79) | v232(constB79) | (~v248(constB79)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB79) | (~v248(constB79)) | v232(constB79))),
% 73.50/46.39 inference(transitivity,[status(thm)],[21142, 21140])).
% 73.50/46.39 tff(21144,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB79) | v232(constB79) | (~v248(constB79)))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21145,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB79) | (~v248(constB79)) | v232(constB79)),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21144, 21143])).
% 73.50/46.39 tff(21146,plain,
% 73.50/46.39 ((~v248(constB79)) | v232(constB79)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21145, 6469, 21139])).
% 73.50/46.39 tff(21147,plain,
% 73.50/46.39 (~v248(constB79)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21146, 21101])).
% 73.50/46.39 tff(21148,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB79) | (~v244(constB79)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB79) | (~v244(constB79)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21149,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB79) | (~v244(constB79)))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21150,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB79) | (~v244(constB79))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21149, 21148])).
% 73.50/46.39 tff(21151,plain,
% 73.50/46.39 (~v244(constB79)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21150, 6484, 21147])).
% 73.50/46.39 tff(21152,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB79) | (~v216(constB79, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB79) | (~v216(constB79, bitIndex1)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21153,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB79) | (~v216(constB79, bitIndex1)))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21154,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB79) | (~v216(constB79, bitIndex1))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21153, 21152])).
% 73.50/46.39 tff(21155,plain,
% 73.50/46.39 (~v216(constB79, bitIndex1)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21154, 6495, 21151])).
% 73.50/46.39 tff(21156,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB79, bitIndex1) | (~v254(constB79)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB79, bitIndex1) | (~v254(constB79)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21157,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB79, bitIndex1) | (~v254(constB79)))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21158,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB79, bitIndex1) | (~v254(constB79))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21157, 21156])).
% 73.50/46.39 tff(21159,plain,
% 73.50/46.39 (~v254(constB79)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21158, 6506, 21155])).
% 73.50/46.39 tff(21160,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB79) | (~v231(constB79)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB79) | (~v231(constB79)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21161,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB79) | (~v231(constB79)))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21162,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB79) | (~v231(constB79))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21161, 21160])).
% 73.50/46.39 tff(21163,plain,
% 73.50/46.39 (~v231(constB79)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21162, 6528, 21139])).
% 73.50/46.39 tff(21164,plain,
% 73.50/46.39 (^[VarCurr: $i] : refl((v222(VarCurr) | (~v221(VarCurr))) <=> (v222(VarCurr) | (~v221(VarCurr))))),
% 73.50/46.39 inference(bind,[status(th)],[])).
% 73.50/46.39 tff(21165,plain,
% 73.50/46.39 (![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr))) <=> ![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))),
% 73.50/46.39 inference(quant_intro,[status(thm)],[21164])).
% 73.50/46.39 tff(21166,plain,
% 73.50/46.39 (![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr))) <=> ![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21167,axiom,(![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_59_1_3')).
% 73.50/46.39 tff(21168,plain,
% 73.50/46.39 (![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21167, 21166])).
% 73.50/46.39 tff(21169,plain,(
% 73.50/46.39 ![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))),
% 73.50/46.39 inference(skolemize,[status(sab)],[21168])).
% 73.50/46.39 tff(21170,plain,
% 73.50/46.39 (![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21169, 21165])).
% 73.50/46.39 tff(21171,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB79) | (~v221(constB79)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB79) | (~v221(constB79)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21172,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB79) | (~v221(constB79)))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21173,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB79) | (~v221(constB79))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21172, 21171])).
% 73.50/46.39 tff(21174,plain,
% 73.50/46.39 (~v221(constB79)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21173, 21170, 21092])).
% 73.50/46.39 tff(21175,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB79) | v231(constB79) | (~v243(constB79)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB79) | v231(constB79) | (~v243(constB79)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21176,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB79) | v231(constB79) | (~v243(constB79)))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21177,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB79) | v231(constB79) | (~v243(constB79))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21176, 21175])).
% 73.50/46.39 tff(21178,plain,
% 73.50/46.39 (~v243(constB79)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21177, 6542, 21174, 21163])).
% 73.50/46.39 tff(21179,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB79) | v255(constB79))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB79) | v255(constB79))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21180,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB79) | v255(constB79))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21181,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB79) | v255(constB79)),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21180, 21179])).
% 73.50/46.39 tff(21182,plain,
% 73.50/46.39 (v255(constB79)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21181, 6553, 21178])).
% 73.50/46.39 tff(21183,plain,
% 73.50/46.39 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB79)) | (~v216(constB79, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB79)) | (~v216(constB79, bitIndex2)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21184,plain,
% 73.50/46.39 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB79)) | (~v216(constB79, bitIndex2)))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21185,plain,
% 73.50/46.39 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB79)) | (~v216(constB79, bitIndex2))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21184, 21183])).
% 73.50/46.39 tff(21186,plain,
% 73.50/46.39 (~v216(constB79, bitIndex2)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21185, 6564, 21182])).
% 73.50/46.39 tff(21187,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB79, bitIndex2) | (~v215(constB79)) | v254(constB79))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB79, bitIndex2) | (~v215(constB79)) | v254(constB79))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21188,plain,
% 73.50/46.39 ((v216(constB79, bitIndex2) | v254(constB79) | (~v215(constB79))) <=> (v216(constB79, bitIndex2) | (~v215(constB79)) | v254(constB79))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21189,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB79, bitIndex2) | v254(constB79) | (~v215(constB79)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB79, bitIndex2) | (~v215(constB79)) | v254(constB79)))),
% 73.50/46.39 inference(monotonicity,[status(thm)],[21188])).
% 73.50/46.39 tff(21190,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB79, bitIndex2) | v254(constB79) | (~v215(constB79)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB79, bitIndex2) | (~v215(constB79)) | v254(constB79))),
% 73.50/46.39 inference(transitivity,[status(thm)],[21189, 21187])).
% 73.50/46.39 tff(21191,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB79, bitIndex2) | v254(constB79) | (~v215(constB79)))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21192,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB79, bitIndex2) | (~v215(constB79)) | v254(constB79)),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21191, 21190])).
% 73.50/46.39 tff(21193,plain,
% 73.50/46.39 ((~v215(constB79)) | v254(constB79)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21192, 6578, 21186])).
% 73.50/46.39 tff(21194,plain,
% 73.50/46.39 (~v215(constB79)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21193, 21159])).
% 73.50/46.39 tff(21195,plain,
% 73.50/46.39 ($false),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21194, 20906])).
% 73.50/46.39 tff(21196,plain,(~(constB79 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.50/46.39 tff(21197,assumption,(constB195 = sK0_VarCurr), introduced(assumption)).
% 73.50/46.39 tff(21198,plain,
% 73.50/46.39 (v215(constB195) <=> v215(sK0_VarCurr)),
% 73.50/46.39 inference(monotonicity,[status(thm)],[21197])).
% 73.50/46.39 tff(21199,plain,
% 73.50/46.39 (v215(sK0_VarCurr) <=> v215(constB195)),
% 73.50/46.39 inference(symmetry,[status(thm)],[21198])).
% 73.50/46.39 tff(21200,plain,
% 73.50/46.39 (v215(constB195)),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[28, 21199])).
% 73.50/46.39 tff(21201,assumption,(v26(constB179)), introduced(assumption)).
% 73.50/46.39 tff(21202,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB179))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21203,plain,
% 73.50/46.39 ($false),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21202, 37, 21201])).
% 73.50/46.39 tff(21204,plain,(~v26(constB179)), inference(lemma,lemma(discharge,[]))).
% 73.50/46.39 tff(21205,assumption,(v26(constB167)), introduced(assumption)).
% 73.50/46.39 tff(21206,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB167))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21207,plain,
% 73.50/46.39 ($false),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21206, 37, 21205])).
% 73.50/46.39 tff(21208,plain,(~v26(constB167)), inference(lemma,lemma(discharge,[]))).
% 73.50/46.39 tff(21209,plain,
% 73.50/46.39 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v124(constB143))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v124(constB143))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21210,plain,
% 73.50/46.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v124(constB143))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21211,plain,
% 73.50/46.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB143, bitIndex0)) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v124(constB143)),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21210, 21209])).
% 73.50/46.39 tff(21212,plain,
% 73.50/46.39 (v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v124(constB143)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21211, 1707, 20691])).
% 73.50/46.39 tff(21213,plain,
% 73.50/46.39 (v124(constB143)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21212, 20671, 20769])).
% 73.50/46.39 tff(21214,plain,
% 73.50/46.39 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB143)) | (~v130(constB143, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB143)) | (~v130(constB143, bitIndex0)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21215,plain,
% 73.50/46.39 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB143)) | (~v130(constB143, bitIndex0)))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21216,plain,
% 73.50/46.39 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB143)) | (~v130(constB143, bitIndex0))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21215, 21214])).
% 73.50/46.39 tff(21217,plain,
% 73.50/46.39 (~v130(constB143, bitIndex0)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21216, 1992, 21213])).
% 73.50/46.39 tff(21218,plain,
% 73.50/46.39 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB143)) | v130(constB143, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB143)) | v130(constB143, bitIndex1))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21219,plain,
% 73.50/46.39 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB143)) | v130(constB143, bitIndex1))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21220,plain,
% 73.50/46.39 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB143)) | v130(constB143, bitIndex1)),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21219, 21218])).
% 73.50/46.39 tff(21221,plain,
% 73.50/46.39 (v130(constB143, bitIndex1)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21220, 1867, 21213])).
% 73.50/46.39 tff(21222,plain,
% 73.50/46.39 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB143)) | v130(constB143, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB143)) | v130(constB143, bitIndex2))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21223,plain,
% 73.50/46.39 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB143)) | v130(constB143, bitIndex2))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21224,plain,
% 73.50/46.39 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB143)) | v130(constB143, bitIndex2)),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21223, 21222])).
% 73.50/46.39 tff(21225,plain,
% 73.50/46.39 (v130(constB143, bitIndex2)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21224, 1786, 21213])).
% 73.50/46.39 tff(21226,assumption,(v124(constB143)), introduced(assumption)).
% 73.50/46.39 tff(21227,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB143) | (~v124(constB143)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB143) | (~v124(constB143)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21228,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB143) | (~v124(constB143)))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21229,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB143) | (~v124(constB143))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21228, 21227])).
% 73.50/46.39 tff(21230,plain,
% 73.50/46.39 (v114(constB143)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21229, 1718, 21226])).
% 73.50/46.39 tff(21231,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB143) | (~v114(constB143)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB143) | (~v114(constB143)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21232,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB143) | (~v114(constB143)))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21233,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB143) | (~v114(constB143))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21232, 21231])).
% 73.50/46.39 tff(21234,plain,
% 73.50/46.39 (v113(constB143)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21233, 287, 21230])).
% 73.50/46.39 tff(21235,assumption,(~v108(constB143)), introduced(assumption)).
% 73.50/46.39 tff(21236,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB143) | (~v112(constB143)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB143) | (~v112(constB143)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21237,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB143) | (~v112(constB143)))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21238,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB143) | (~v112(constB143))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21237, 21236])).
% 73.50/46.39 tff(21239,plain,
% 73.50/46.39 (~v112(constB143)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21238, 210, 21235])).
% 73.50/46.39 tff(21240,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB143) | (~v26(constB143)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB143) | (~v26(constB143)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21241,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB143) | (~v26(constB143)))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21242,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB143) | (~v26(constB143))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21241, 21240])).
% 73.50/46.39 tff(21243,plain,
% 73.50/46.39 (~v26(constB143)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21242, 221, 21235])).
% 73.50/46.39 tff(21244,assumption,(v113(constB143)), introduced(assumption)).
% 73.50/46.39 tff(21245,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | v112(constB143) | (~v113(constB143)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | v112(constB143) | (~v113(constB143)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21246,plain,
% 73.50/46.39 ((v26(constB143) | (~v113(constB143)) | v112(constB143)) <=> (v26(constB143) | v112(constB143) | (~v113(constB143)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21247,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | v112(constB143) | (~v113(constB143))))),
% 73.50/46.39 inference(monotonicity,[status(thm)],[21246])).
% 73.50/46.39 tff(21248,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | v112(constB143) | (~v113(constB143)))),
% 73.50/46.39 inference(transitivity,[status(thm)],[21247, 21245])).
% 73.50/46.39 tff(21249,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21250,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | v112(constB143) | (~v113(constB143))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21249, 21248])).
% 73.50/46.39 tff(21251,plain,
% 73.50/46.39 (v26(constB143) | v112(constB143)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21250, 301, 21244])).
% 73.50/46.39 tff(21252,plain,
% 73.50/46.39 ($false),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21251, 21243, 21239])).
% 73.50/46.39 tff(21253,plain,(v108(constB143) | (~v113(constB143))), inference(lemma,lemma(discharge,[]))).
% 73.50/46.39 tff(21254,plain,
% 73.50/46.39 (v108(constB143)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21253, 21234])).
% 73.50/46.39 tff(21255,plain,
% 73.50/46.39 (nextState(constB143, constB144) <=> nextState(constB143, constB144)),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21256,axiom,(nextState(constB143, constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_143_1')).
% 73.50/46.39 tff(21257,plain,
% 73.50/46.39 (nextState(constB143, constB144)),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21256, 21255])).
% 73.50/46.39 tff(21258,plain,
% 73.50/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21259,plain,
% 73.50/46.39 (((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144)) <=> ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21260,plain,
% 73.50/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143))))),
% 73.50/46.39 inference(monotonicity,[status(thm)],[21259])).
% 73.50/46.39 tff(21261,plain,
% 73.50/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 73.50/46.39 inference(transitivity,[status(thm)],[21260, 21258])).
% 73.50/46.39 tff(21262,plain,
% 73.50/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21263,plain,
% 73.50/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21262, 21261])).
% 73.50/46.39 tff(21264,plain,
% 73.50/46.39 (v110(constB144) | (~v108(constB143))),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21263, 317, 21257])).
% 73.50/46.39 tff(21265,plain,
% 73.50/46.39 (v110(constB144)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21264, 21254])).
% 73.50/46.39 tff(21266,plain,
% 73.50/46.39 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21267,plain,
% 73.50/46.39 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21268,plain,
% 73.50/46.39 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21267, 21266])).
% 73.50/46.39 tff(21269,plain,
% 73.50/46.39 (~v104(constB144)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21268, 335, 21257, 20647])).
% 73.50/46.39 tff(21270,plain,
% 73.50/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21271,plain,
% 73.50/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21272,plain,
% 73.50/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v102(constB144) | v104(constB144)),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21271, 21270])).
% 73.50/46.39 tff(21273,plain,
% 73.50/46.39 (v102(constB144) | v104(constB144)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21272, 349, 21257])).
% 73.50/46.39 tff(21274,plain,
% 73.50/46.39 (v102(constB144)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21273, 21269])).
% 73.50/46.39 tff(21275,plain,
% 73.50/46.39 (v1(constB144) <=> v1(constB144)),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21276,axiom,(v1(constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_144_1')).
% 73.50/46.39 tff(21277,plain,
% 73.50/46.39 (v1(constB144)),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21276, 21275])).
% 73.50/46.39 tff(21278,plain,
% 73.50/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21279,plain,
% 73.50/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21280,plain,
% 73.50/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21279, 21278])).
% 73.50/46.39 tff(21281,plain,
% 73.50/46.39 (v101(constB144) | (~v102(constB144))),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21280, 367, 21257, 21277])).
% 73.50/46.39 tff(21282,plain,
% 73.50/46.39 (v101(constB144)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21281, 21274])).
% 73.50/46.39 tff(21283,plain,
% 73.50/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21284,plain,
% 73.50/46.39 (((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144)) <=> ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21285,plain,
% 73.50/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144))))),
% 73.50/46.39 inference(monotonicity,[status(thm)],[21284])).
% 73.50/46.39 tff(21286,plain,
% 73.50/46.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 73.50/46.39 inference(transitivity,[status(thm)],[21285, 21283])).
% 73.50/46.39 tff(21287,plain,
% 73.50/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21288,plain,
% 73.50/46.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144))),
% 73.50/46.39 inference(modus_ponens,[status(thm)],[21287, 21286])).
% 73.50/46.39 tff(21289,plain,
% 73.50/46.39 (v100(constB144) | (~v101(constB144)) | (~v110(constB144))),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21288, 382, 21257])).
% 73.50/46.39 tff(21290,plain,
% 73.50/46.39 (v100(constB144) | (~v110(constB144))),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21289, 21282])).
% 73.50/46.39 tff(21291,plain,
% 73.50/46.39 (v100(constB144)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21290, 21265])).
% 73.50/46.39 tff(21292,plain,
% 73.50/46.39 (v130(constB143, bitIndex2)),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21224, 1786, 21226])).
% 73.50/46.39 tff(21293,assumption,(v26(constB143)), introduced(assumption)).
% 73.50/46.39 tff(21294,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB143))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21295,plain,
% 73.50/46.39 ($false),
% 73.50/46.39 inference(unit_resolution,[status(thm)],[21294, 37, 21293])).
% 73.50/46.39 tff(21296,plain,(~v26(constB143)), inference(lemma,lemma(discharge,[]))).
% 73.50/46.39 tff(21297,plain,
% 73.50/46.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2))),
% 73.50/46.39 inference(rewrite,[status(thm)],[])).
% 73.50/46.39 tff(21298,plain,
% 73.50/46.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2))),
% 73.50/46.39 inference(quant_inst,[status(thm)],[])).
% 73.50/46.39 tff(21299,plain,
% 73.50/46.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2)),
% 73.50/46.40 inference(modus_ponens,[status(thm)],[21298, 21297])).
% 73.50/46.40 tff(21300,plain,
% 73.50/46.40 ((~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21299, 1304, 21296])).
% 73.50/46.40 tff(21301,plain,
% 73.50/46.40 (v127(constB143, bitIndex2)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21300, 21292])).
% 73.50/46.40 tff(21302,plain,
% 73.50/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21303,plain,
% 73.50/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2))),
% 73.50/46.40 inference(quant_inst,[status(thm)],[])).
% 73.50/46.40 tff(21304,plain,
% 73.50/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2)),
% 73.50/46.40 inference(modus_ponens,[status(thm)],[21303, 21302])).
% 73.50/46.40 tff(21305,plain,
% 73.50/46.40 ((~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21304, 1319, 21257])).
% 73.50/46.40 tff(21306,plain,
% 73.50/46.40 (v129(constB144, bitIndex2)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21305, 21301])).
% 73.50/46.40 tff(21307,plain,
% 73.50/46.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21308,plain,
% 73.50/46.40 ((v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2))) <=> (v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21309,plain,
% 73.50/46.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144))))),
% 73.50/46.40 inference(monotonicity,[status(thm)],[21308])).
% 73.50/46.40 tff(21310,plain,
% 73.50/46.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))),
% 73.50/46.40 inference(transitivity,[status(thm)],[21309, 21307])).
% 73.50/46.40 tff(21311,plain,
% 73.50/46.40 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2)))),
% 73.50/46.40 inference(quant_inst,[status(thm)],[])).
% 73.50/46.40 tff(21312,plain,
% 73.50/46.40 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144))),
% 73.50/46.40 inference(modus_ponens,[status(thm)],[21311, 21310])).
% 73.50/46.40 tff(21313,plain,
% 73.50/46.40 (v90(constB144, bitIndex2) | (~v100(constB144))),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21312, 1334, 21306])).
% 73.50/46.40 tff(21314,plain,
% 73.50/46.40 (v90(constB144, bitIndex2)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21313, 21291])).
% 73.50/46.40 tff(21315,plain,
% 73.50/46.40 ((~v1(constB145)) <=> (~v1(constB145))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21316,axiom,(~v1(constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_145_1_1')).
% 73.50/46.40 tff(21317,plain,
% 73.50/46.40 (~v1(constB145)),
% 73.50/46.40 inference(modus_ponens,[status(thm)],[21316, 21315])).
% 73.50/46.40 tff(21318,plain,
% 73.50/46.40 (nextState(constB144, constB145) <=> nextState(constB144, constB145)),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21319,axiom,(nextState(constB144, constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_144_1')).
% 73.50/46.40 tff(21320,plain,
% 73.50/46.40 (nextState(constB144, constB145)),
% 73.50/46.40 inference(modus_ponens,[status(thm)],[21319, 21318])).
% 73.50/46.40 tff(21321,plain,
% 73.50/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21322,plain,
% 73.50/46.40 (((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145)) <=> (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21323,plain,
% 73.50/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145))))),
% 73.50/46.40 inference(monotonicity,[status(thm)],[21322])).
% 73.50/46.40 tff(21324,plain,
% 73.50/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 73.50/46.40 inference(transitivity,[status(thm)],[21323, 21321])).
% 73.50/46.40 tff(21325,plain,
% 73.50/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))),
% 73.50/46.40 inference(quant_inst,[status(thm)],[])).
% 73.50/46.40 tff(21326,plain,
% 73.50/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145))),
% 73.50/46.40 inference(modus_ponens,[status(thm)],[21325, 21324])).
% 73.50/46.40 tff(21327,plain,
% 73.50/46.40 (~v101(constB145)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21326, 56, 21320, 21317])).
% 73.50/46.40 tff(21328,plain,
% 73.50/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21329,plain,
% 73.50/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))),
% 73.50/46.40 inference(quant_inst,[status(thm)],[])).
% 73.50/46.40 tff(21330,plain,
% 73.50/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145))),
% 73.50/46.40 inference(modus_ponens,[status(thm)],[21329, 21328])).
% 73.50/46.40 tff(21331,plain,
% 73.50/46.40 (v101(constB145) | (~v100(constB145))),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21330, 73, 21320])).
% 73.50/46.40 tff(21332,plain,
% 73.50/46.40 (~v100(constB145)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21331, 21327])).
% 73.50/46.40 tff(21333,plain,
% 73.50/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21334,plain,
% 73.50/46.40 (((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2)) <=> ((~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21335,plain,
% 73.50/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2)))),
% 73.50/46.40 inference(monotonicity,[status(thm)],[21334])).
% 73.50/46.40 tff(21336,plain,
% 73.50/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))),
% 73.50/46.40 inference(transitivity,[status(thm)],[21335, 21333])).
% 73.50/46.40 tff(21337,plain,
% 73.50/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2))),
% 73.50/46.40 inference(quant_inst,[status(thm)],[])).
% 73.50/46.40 tff(21338,plain,
% 73.50/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2)),
% 73.50/46.40 inference(modus_ponens,[status(thm)],[21337, 21336])).
% 73.50/46.40 tff(21339,plain,
% 73.50/46.40 ((~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21338, 1370, 21320])).
% 73.50/46.40 tff(21340,plain,
% 73.50/46.40 ((~v90(constB144, bitIndex2)) | v90(constB145, bitIndex2)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21339, 21332])).
% 73.50/46.40 tff(21341,plain,
% 73.50/46.40 (v90(constB145, bitIndex2)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21340, 21314])).
% 73.50/46.40 tff(21342,plain,
% 73.50/46.40 (v130(constB143, bitIndex1)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21220, 1867, 21226])).
% 73.50/46.40 tff(21343,plain,
% 73.50/46.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21344,plain,
% 73.50/46.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1))),
% 73.50/46.40 inference(quant_inst,[status(thm)],[])).
% 73.50/46.40 tff(21345,plain,
% 73.50/46.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1)),
% 73.50/46.40 inference(modus_ponens,[status(thm)],[21344, 21343])).
% 73.50/46.40 tff(21346,plain,
% 73.50/46.40 ((~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21345, 824, 21296])).
% 73.50/46.40 tff(21347,plain,
% 73.50/46.40 (v127(constB143, bitIndex1)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21346, 21342])).
% 73.50/46.40 tff(21348,plain,
% 73.50/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21349,plain,
% 73.50/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1))),
% 73.50/46.40 inference(quant_inst,[status(thm)],[])).
% 73.50/46.40 tff(21350,plain,
% 73.50/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1)),
% 73.50/46.40 inference(modus_ponens,[status(thm)],[21349, 21348])).
% 73.50/46.40 tff(21351,plain,
% 73.50/46.40 ((~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21350, 839, 21257])).
% 73.50/46.40 tff(21352,plain,
% 73.50/46.40 (v129(constB144, bitIndex1)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21351, 21347])).
% 73.50/46.40 tff(21353,plain,
% 73.50/46.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21354,plain,
% 73.50/46.40 ((v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1))) <=> (v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21355,plain,
% 73.50/46.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144))))),
% 73.50/46.40 inference(monotonicity,[status(thm)],[21354])).
% 73.50/46.40 tff(21356,plain,
% 73.50/46.40 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))),
% 73.50/46.40 inference(transitivity,[status(thm)],[21355, 21353])).
% 73.50/46.40 tff(21357,plain,
% 73.50/46.40 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1)))),
% 73.50/46.40 inference(quant_inst,[status(thm)],[])).
% 73.50/46.40 tff(21358,plain,
% 73.50/46.40 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144))),
% 73.50/46.40 inference(modus_ponens,[status(thm)],[21357, 21356])).
% 73.50/46.40 tff(21359,plain,
% 73.50/46.40 (v90(constB144, bitIndex1) | (~v100(constB144))),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21358, 854, 21352])).
% 73.50/46.40 tff(21360,plain,
% 73.50/46.40 (v90(constB144, bitIndex1)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21359, 21291])).
% 73.50/46.40 tff(21361,plain,
% 73.50/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21362,plain,
% 73.50/46.40 (((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1)) <=> ((~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21363,plain,
% 73.50/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1)))),
% 73.50/46.40 inference(monotonicity,[status(thm)],[21362])).
% 73.50/46.40 tff(21364,plain,
% 73.50/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))),
% 73.50/46.40 inference(transitivity,[status(thm)],[21363, 21361])).
% 73.50/46.40 tff(21365,plain,
% 73.50/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1))),
% 73.50/46.40 inference(quant_inst,[status(thm)],[])).
% 73.50/46.40 tff(21366,plain,
% 73.50/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1)),
% 73.50/46.40 inference(modus_ponens,[status(thm)],[21365, 21364])).
% 73.50/46.40 tff(21367,plain,
% 73.50/46.40 ((~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21366, 872, 21320])).
% 73.50/46.40 tff(21368,plain,
% 73.50/46.40 ((~v90(constB144, bitIndex1)) | v90(constB145, bitIndex1)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21367, 21332])).
% 73.50/46.40 tff(21369,plain,
% 73.50/46.40 (v90(constB145, bitIndex1)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21368, 21360])).
% 73.50/46.40 tff(21370,plain,
% 73.50/46.40 (~v130(constB143, bitIndex0)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21216, 1992, 21226])).
% 73.50/46.40 tff(21371,plain,
% 73.50/46.40 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21372,plain,
% 73.50/46.40 ((v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0))) <=> ((~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21373,plain,
% 73.50/46.40 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0)))),
% 73.50/46.40 inference(monotonicity,[status(thm)],[21372])).
% 73.50/46.40 tff(21374,plain,
% 73.50/46.40 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))),
% 73.50/46.40 inference(transitivity,[status(thm)],[21373, 21371])).
% 73.50/46.40 tff(21375,plain,
% 73.50/46.40 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0)))),
% 73.50/46.40 inference(quant_inst,[status(thm)],[])).
% 73.50/46.40 tff(21376,plain,
% 73.50/46.40 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0)),
% 73.50/46.40 inference(modus_ponens,[status(thm)],[21375, 21374])).
% 73.50/46.40 tff(21377,plain,
% 73.50/46.40 ((~v127(constB143, bitIndex0)) | v130(constB143, bitIndex0)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21376, 905, 21296])).
% 73.50/46.40 tff(21378,plain,
% 73.50/46.40 (~v127(constB143, bitIndex0)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21377, 21370])).
% 73.50/46.40 tff(21379,plain,
% 73.50/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0)))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21380,plain,
% 73.50/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0)))),
% 73.50/46.40 inference(quant_inst,[status(thm)],[])).
% 73.50/46.40 tff(21381,plain,
% 73.50/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0))),
% 73.50/46.40 inference(modus_ponens,[status(thm)],[21380, 21379])).
% 73.50/46.40 tff(21382,plain,
% 73.50/46.40 (v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0))),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21381, 923, 21257])).
% 73.50/46.40 tff(21383,plain,
% 73.50/46.40 (~v129(constB144, bitIndex0)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21382, 21378])).
% 73.50/46.40 tff(21384,plain,
% 73.50/46.40 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21385,plain,
% 73.50/46.40 (((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0)) <=> ((~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21386,plain,
% 73.50/46.40 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144))))),
% 73.50/46.40 inference(monotonicity,[status(thm)],[21385])).
% 73.50/46.40 tff(21387,plain,
% 73.50/46.40 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))),
% 73.50/46.40 inference(transitivity,[status(thm)],[21386, 21384])).
% 73.50/46.40 tff(21388,plain,
% 73.50/46.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0))),
% 73.50/46.40 inference(quant_inst,[status(thm)],[])).
% 73.50/46.40 tff(21389,plain,
% 73.50/46.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144))),
% 73.50/46.40 inference(modus_ponens,[status(thm)],[21388, 21387])).
% 73.50/46.40 tff(21390,plain,
% 73.50/46.40 ((~v90(constB144, bitIndex0)) | (~v100(constB144))),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21389, 938, 21383])).
% 73.50/46.40 tff(21391,plain,
% 73.50/46.40 (~v90(constB144, bitIndex0)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21390, 21291])).
% 73.50/46.40 tff(21392,plain,
% 73.50/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21393,plain,
% 73.50/46.40 (((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0))) <=> (v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21394,plain,
% 73.50/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0))))),
% 73.50/46.40 inference(monotonicity,[status(thm)],[21393])).
% 73.50/46.40 tff(21395,plain,
% 73.50/46.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 73.50/46.40 inference(transitivity,[status(thm)],[21394, 21392])).
% 73.50/46.40 tff(21396,plain,
% 73.50/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 73.50/46.40 inference(quant_inst,[status(thm)],[])).
% 73.50/46.40 tff(21397,plain,
% 73.50/46.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0))),
% 73.50/46.40 inference(modus_ponens,[status(thm)],[21396, 21395])).
% 73.50/46.40 tff(21398,plain,
% 73.50/46.40 (v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0))),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21397, 130, 21320])).
% 73.50/46.40 tff(21399,plain,
% 73.50/46.40 (v90(constB144, bitIndex0) | (~v90(constB145, bitIndex0))),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21398, 21332])).
% 73.50/46.40 tff(21400,plain,
% 73.50/46.40 (~v90(constB145, bitIndex0)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21399, 21391])).
% 73.50/46.40 tff(21401,plain,
% 73.50/46.40 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21402,plain,
% 73.50/46.40 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145))),
% 73.50/46.40 inference(quant_inst,[status(thm)],[])).
% 73.50/46.40 tff(21403,plain,
% 73.50/46.40 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145)),
% 73.50/46.40 inference(modus_ponens,[status(thm)],[21402, 21401])).
% 73.50/46.40 tff(21404,plain,
% 73.50/46.40 (v125(constB145)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21403, 2036, 21400, 21369, 21341])).
% 73.50/46.40 tff(21405,plain,
% 73.50/46.40 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB145) | (~v125(constB145)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB145) | (~v125(constB145)))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21406,plain,
% 73.50/46.40 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB145) | (~v125(constB145)))),
% 73.50/46.40 inference(quant_inst,[status(thm)],[])).
% 73.50/46.40 tff(21407,plain,
% 73.50/46.40 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB145) | (~v125(constB145))),
% 73.50/46.40 inference(modus_ponens,[status(thm)],[21406, 21405])).
% 73.50/46.40 tff(21408,plain,
% 73.50/46.40 (v113(constB145)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21407, 2047, 21404])).
% 73.50/46.40 tff(21409,assumption,(v26(constB145)), introduced(assumption)).
% 73.50/46.40 tff(21410,plain,
% 73.50/46.40 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB145))),
% 73.50/46.40 inference(quant_inst,[status(thm)],[])).
% 73.50/46.40 tff(21411,plain,
% 73.50/46.40 ($false),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21410, 37, 21409])).
% 73.50/46.40 tff(21412,plain,(~v26(constB145)), inference(lemma,lemma(discharge,[]))).
% 73.50/46.40 tff(21413,plain,
% 73.50/46.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | v112(constB145) | (~v113(constB145)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | v112(constB145) | (~v113(constB145)))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21414,plain,
% 73.50/46.40 ((v26(constB145) | (~v113(constB145)) | v112(constB145)) <=> (v26(constB145) | v112(constB145) | (~v113(constB145)))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21415,plain,
% 73.50/46.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | v112(constB145) | (~v113(constB145))))),
% 73.50/46.40 inference(monotonicity,[status(thm)],[21414])).
% 73.50/46.40 tff(21416,plain,
% 73.50/46.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | v112(constB145) | (~v113(constB145)))),
% 73.50/46.40 inference(transitivity,[status(thm)],[21415, 21413])).
% 73.50/46.40 tff(21417,plain,
% 73.50/46.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))),
% 73.50/46.40 inference(quant_inst,[status(thm)],[])).
% 73.50/46.40 tff(21418,plain,
% 73.50/46.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | v112(constB145) | (~v113(constB145))),
% 73.50/46.40 inference(modus_ponens,[status(thm)],[21417, 21416])).
% 73.50/46.40 tff(21419,plain,
% 73.50/46.40 (v112(constB145) | (~v113(constB145))),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21418, 301, 21412])).
% 73.50/46.40 tff(21420,plain,
% 73.50/46.40 (v112(constB145)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21419, 21408])).
% 73.50/46.40 tff(21421,plain,
% 73.50/46.40 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB145, bitIndex2)) | (~v121(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB145, bitIndex2)) | (~v121(constB145)))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21422,plain,
% 73.50/46.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB145, bitIndex2)) | (~v121(constB145)))),
% 73.50/46.40 inference(quant_inst,[status(thm)],[])).
% 73.50/46.40 tff(21423,plain,
% 73.50/46.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB145, bitIndex2)) | (~v121(constB145))),
% 73.50/46.40 inference(modus_ponens,[status(thm)],[21422, 21421])).
% 73.50/46.40 tff(21424,plain,
% 73.50/46.40 (~v121(constB145)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21423, 1842, 21341])).
% 73.50/46.40 tff(21425,plain,
% 73.50/46.40 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB145, bitIndex2)) | (~v122(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB145, bitIndex2)) | (~v122(constB145)))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21426,plain,
% 73.50/46.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB145, bitIndex2)) | (~v122(constB145)))),
% 73.50/46.40 inference(quant_inst,[status(thm)],[])).
% 73.50/46.40 tff(21427,plain,
% 73.50/46.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB145, bitIndex2)) | (~v122(constB145))),
% 73.50/46.40 inference(modus_ponens,[status(thm)],[21426, 21425])).
% 73.50/46.40 tff(21428,plain,
% 73.50/46.40 (~v122(constB145)),
% 73.50/46.40 inference(unit_resolution,[status(thm)],[21427, 1853, 21341])).
% 73.50/46.40 tff(21429,plain,
% 73.50/46.40 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB145)) | (~v90(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB145)) | (~v90(constB145, bitIndex1)))),
% 73.50/46.40 inference(rewrite,[status(thm)],[])).
% 73.50/46.40 tff(21430,plain,
% 73.50/46.40 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB145)) | (~v90(constB145, bitIndex1)))),
% 73.50/46.41 inference(quant_inst,[status(thm)],[])).
% 73.50/46.41 tff(21431,plain,
% 73.50/46.41 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB145)) | (~v90(constB145, bitIndex1))),
% 73.50/46.41 inference(modus_ponens,[status(thm)],[21430, 21429])).
% 73.50/46.41 tff(21432,plain,
% 73.50/46.41 (~v119(constB145)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21431, 1908, 21369])).
% 73.50/46.41 tff(21433,plain,
% 73.50/46.41 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v120(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v120(constB145)))),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21434,plain,
% 73.50/46.41 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v120(constB145)))),
% 73.50/46.41 inference(quant_inst,[status(thm)],[])).
% 73.50/46.41 tff(21435,plain,
% 73.50/46.41 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v120(constB145))),
% 73.50/46.41 inference(modus_ponens,[status(thm)],[21434, 21433])).
% 73.50/46.41 tff(21436,plain,
% 73.50/46.41 (~v120(constB145)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21435, 1919, 21369])).
% 73.50/46.41 tff(21437,plain,
% 73.50/46.41 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v123(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v123(constB145)))),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21438,plain,
% 73.50/46.41 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v123(constB145)))),
% 73.50/46.41 inference(quant_inst,[status(thm)],[])).
% 73.50/46.41 tff(21439,plain,
% 73.50/46.41 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v123(constB145))),
% 73.50/46.41 inference(modus_ponens,[status(thm)],[21438, 21437])).
% 73.50/46.41 tff(21440,plain,
% 73.50/46.41 (~v123(constB145)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21439, 1930, 21369])).
% 73.50/46.41 tff(21441,plain,
% 73.50/46.41 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v124(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v124(constB145)))),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21442,plain,
% 73.50/46.41 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v124(constB145)))),
% 73.50/46.41 inference(quant_inst,[status(thm)],[])).
% 73.50/46.41 tff(21443,plain,
% 73.50/46.41 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v124(constB145))),
% 73.50/46.41 inference(modus_ponens,[status(thm)],[21442, 21441])).
% 73.50/46.41 tff(21444,plain,
% 73.50/46.41 (~v124(constB145)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21443, 1941, 21369])).
% 73.50/46.41 tff(21445,plain,
% 73.50/46.41 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB145, bitIndex0) | v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB145, bitIndex0) | v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145))),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21446,plain,
% 73.50/46.41 ((v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0)) <=> (v130(constB145, bitIndex0) | v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145))),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21447,plain,
% 73.50/46.41 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB145, bitIndex0) | v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145)))),
% 73.50/46.41 inference(monotonicity,[status(thm)],[21446])).
% 73.50/46.41 tff(21448,plain,
% 73.50/46.41 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB145, bitIndex0) | v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145))),
% 73.50/46.41 inference(transitivity,[status(thm)],[21447, 21445])).
% 73.50/46.41 tff(21449,plain,
% 73.50/46.41 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, bitIndex0))),
% 73.50/46.41 inference(quant_inst,[status(thm)],[])).
% 73.50/46.41 tff(21450,plain,
% 73.50/46.41 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB145, bitIndex0) | v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145)),
% 73.50/46.41 inference(modus_ponens,[status(thm)],[21449, 21448])).
% 73.50/46.41 tff(21451,plain,
% 73.50/46.41 (v130(constB145, bitIndex0)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21450, 2192, 21444, 21440, 21436, 21432, 21428, 21424])).
% 73.50/46.41 tff(21452,plain,
% 73.50/46.41 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0))),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21453,plain,
% 73.50/46.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0))),
% 73.50/46.41 inference(quant_inst,[status(thm)],[])).
% 73.50/46.41 tff(21454,plain,
% 73.50/46.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0)),
% 73.50/46.41 inference(modus_ponens,[status(thm)],[21453, 21452])).
% 73.50/46.41 tff(21455,plain,
% 73.50/46.41 ((~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21454, 179, 21412])).
% 73.50/46.41 tff(21456,plain,
% 73.50/46.41 (v127(constB145, bitIndex0)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21455, 21451])).
% 73.50/46.41 tff(21457,plain,
% 73.50/46.41 (nextState(constB145, constB146) <=> nextState(constB145, constB146)),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21458,axiom,(nextState(constB145, constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_145_1')).
% 73.50/46.41 tff(21459,plain,
% 73.50/46.41 (nextState(constB145, constB146)),
% 73.50/46.41 inference(modus_ponens,[status(thm)],[21458, 21457])).
% 73.50/46.41 tff(21460,plain,
% 73.50/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0))),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21461,plain,
% 73.50/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0))),
% 73.50/46.41 inference(quant_inst,[status(thm)],[])).
% 73.50/46.41 tff(21462,plain,
% 73.50/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0)),
% 73.50/46.41 inference(modus_ponens,[status(thm)],[21461, 21460])).
% 73.50/46.41 tff(21463,plain,
% 73.50/46.41 ((~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21462, 197, 21459])).
% 73.50/46.41 tff(21464,plain,
% 73.50/46.41 (v129(constB146, bitIndex0)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21463, 21456])).
% 73.50/46.41 tff(21465,assumption,(~v90(constB146, bitIndex0)), introduced(assumption)).
% 73.50/46.41 tff(21466,plain,
% 73.50/46.41 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21467,plain,
% 73.50/46.41 ((v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0))) <=> (v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21468,plain,
% 73.50/46.41 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146))))),
% 73.50/46.41 inference(monotonicity,[status(thm)],[21467])).
% 73.50/46.41 tff(21469,plain,
% 73.50/46.41 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))),
% 73.50/46.41 inference(transitivity,[status(thm)],[21468, 21466])).
% 73.50/46.41 tff(21470,plain,
% 73.50/46.41 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0)))),
% 73.50/46.41 inference(quant_inst,[status(thm)],[])).
% 73.50/46.41 tff(21471,plain,
% 73.50/46.41 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146))),
% 73.50/46.41 inference(modus_ponens,[status(thm)],[21470, 21469])).
% 73.50/46.41 tff(21472,plain,
% 73.50/46.41 ((~v129(constB146, bitIndex0)) | (~v100(constB146))),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21471, 401, 21465])).
% 73.50/46.41 tff(21473,plain,
% 73.50/46.41 (~v100(constB146)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21472, 21464])).
% 73.50/46.41 tff(21474,plain,
% 73.50/46.41 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21475,plain,
% 73.50/46.41 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))),
% 73.50/46.41 inference(quant_inst,[status(thm)],[])).
% 73.50/46.41 tff(21476,plain,
% 73.50/46.41 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146))),
% 73.50/46.41 inference(modus_ponens,[status(thm)],[21475, 21474])).
% 73.50/46.41 tff(21477,plain,
% 73.50/46.41 (~v104(constB146)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21476, 335, 21459, 21317])).
% 73.50/46.41 tff(21478,plain,
% 73.50/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21479,plain,
% 73.50/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))),
% 73.50/46.41 inference(quant_inst,[status(thm)],[])).
% 73.50/46.41 tff(21480,plain,
% 73.50/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v102(constB146) | v104(constB146)),
% 73.50/46.41 inference(modus_ponens,[status(thm)],[21479, 21478])).
% 73.50/46.41 tff(21481,plain,
% 73.50/46.41 (v102(constB146) | v104(constB146)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21480, 349, 21459])).
% 73.50/46.41 tff(21482,plain,
% 73.50/46.41 (v102(constB146)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21481, 21477])).
% 73.50/46.41 tff(21483,plain,
% 73.50/46.41 (v1(constB146) <=> v1(constB146)),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21484,axiom,(v1(constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_146_1')).
% 73.50/46.41 tff(21485,plain,
% 73.50/46.41 (v1(constB146)),
% 73.50/46.41 inference(modus_ponens,[status(thm)],[21484, 21483])).
% 73.50/46.41 tff(21486,plain,
% 73.50/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21487,plain,
% 73.50/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))),
% 73.50/46.41 inference(quant_inst,[status(thm)],[])).
% 73.50/46.41 tff(21488,plain,
% 73.50/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146))),
% 73.50/46.41 inference(modus_ponens,[status(thm)],[21487, 21486])).
% 73.50/46.41 tff(21489,plain,
% 73.50/46.41 (v101(constB146) | (~v102(constB146))),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21488, 367, 21459, 21485])).
% 73.50/46.41 tff(21490,plain,
% 73.50/46.41 (v101(constB146)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21489, 21482])).
% 73.50/46.41 tff(21491,plain,
% 73.50/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21492,plain,
% 73.50/46.41 (((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146)) <=> ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21493,plain,
% 73.50/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146))))),
% 73.50/46.41 inference(monotonicity,[status(thm)],[21492])).
% 73.50/46.41 tff(21494,plain,
% 73.50/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 73.50/46.41 inference(transitivity,[status(thm)],[21493, 21491])).
% 73.50/46.41 tff(21495,plain,
% 73.50/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))),
% 73.50/46.41 inference(quant_inst,[status(thm)],[])).
% 73.50/46.41 tff(21496,plain,
% 73.50/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146))),
% 73.50/46.41 inference(modus_ponens,[status(thm)],[21495, 21494])).
% 73.50/46.41 tff(21497,plain,
% 73.50/46.41 (v100(constB146) | (~v101(constB146)) | (~v110(constB146))),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21496, 382, 21459])).
% 73.50/46.41 tff(21498,plain,
% 73.50/46.41 (v100(constB146) | (~v110(constB146))),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21497, 21490])).
% 73.50/46.41 tff(21499,plain,
% 73.50/46.41 (~v110(constB146)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21498, 21473])).
% 73.50/46.41 tff(21500,plain,
% 73.50/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21501,plain,
% 73.50/46.41 (((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146)) <=> ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21502,plain,
% 73.50/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145))))),
% 73.50/46.41 inference(monotonicity,[status(thm)],[21501])).
% 73.50/46.41 tff(21503,plain,
% 73.50/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 73.50/46.41 inference(transitivity,[status(thm)],[21502, 21500])).
% 73.50/46.41 tff(21504,plain,
% 73.50/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))),
% 73.50/46.41 inference(quant_inst,[status(thm)],[])).
% 73.50/46.41 tff(21505,plain,
% 73.50/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145))),
% 73.50/46.41 inference(modus_ponens,[status(thm)],[21504, 21503])).
% 73.50/46.41 tff(21506,plain,
% 73.50/46.41 (v110(constB146) | (~v108(constB145))),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21505, 317, 21459])).
% 73.50/46.41 tff(21507,plain,
% 73.50/46.41 (~v108(constB145)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21506, 21499])).
% 73.50/46.41 tff(21508,plain,
% 73.50/46.41 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB145) | (~v112(constB145)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB145) | (~v112(constB145)))),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21509,plain,
% 73.50/46.41 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB145) | (~v112(constB145)))),
% 73.50/46.41 inference(quant_inst,[status(thm)],[])).
% 73.50/46.41 tff(21510,plain,
% 73.50/46.41 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB145) | (~v112(constB145))),
% 73.50/46.41 inference(modus_ponens,[status(thm)],[21509, 21508])).
% 73.50/46.41 tff(21511,plain,
% 73.50/46.41 ($false),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21510, 210, 21507, 21420])).
% 73.50/46.41 tff(21512,plain,((~v124(constB143)) | v90(constB146, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.50/46.41 tff(21513,plain,
% 73.50/46.41 (v90(constB146, bitIndex0)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21512, 21213])).
% 73.50/46.41 tff(21514,plain,
% 73.50/46.41 (v114(constB143)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21229, 1718, 21213])).
% 73.50/46.41 tff(21515,plain,
% 73.50/46.41 (v113(constB143)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21233, 287, 21514])).
% 73.50/46.41 tff(21516,plain,
% 73.50/46.41 (v108(constB143)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21253, 21515])).
% 73.50/46.41 tff(21517,plain,
% 73.50/46.41 (v110(constB144)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21264, 21516])).
% 73.50/46.41 tff(21518,plain,
% 73.50/46.41 (v100(constB144)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21290, 21517])).
% 73.50/46.41 tff(21519,assumption,(~v26(constB143)), introduced(assumption)).
% 73.50/46.41 tff(21520,assumption,(v130(constB143, bitIndex2)), introduced(assumption)).
% 73.50/46.41 tff(21521,plain,
% 73.50/46.41 (v26(constB143) | v127(constB143, bitIndex2)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21299, 1304, 21520])).
% 73.50/46.41 tff(21522,plain,
% 73.50/46.41 (v127(constB143, bitIndex2)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21521, 21519])).
% 73.50/46.41 tff(21523,plain,
% 73.50/46.41 (v129(constB144, bitIndex2)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21305, 21522])).
% 73.50/46.41 tff(21524,assumption,(v100(constB144)), introduced(assumption)).
% 73.50/46.41 tff(21525,plain,
% 73.50/46.41 (v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2))),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21312, 1334, 21524])).
% 73.50/46.41 tff(21526,plain,
% 73.50/46.41 (v90(constB144, bitIndex2)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21525, 21523])).
% 73.50/46.41 tff(21527,plain,
% 73.50/46.41 (v90(constB145, bitIndex2)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21340, 21526])).
% 73.50/46.41 tff(21528,plain,
% 73.50/46.41 (~v121(constB145)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21423, 1842, 21527])).
% 73.50/46.41 tff(21529,plain,
% 73.50/46.41 (~v122(constB145)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21427, 1853, 21527])).
% 73.50/46.41 tff(21530,assumption,(v130(constB143, bitIndex1)), introduced(assumption)).
% 73.50/46.41 tff(21531,plain,
% 73.50/46.41 (v26(constB143) | v127(constB143, bitIndex1)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21345, 824, 21530])).
% 73.50/46.41 tff(21532,plain,
% 73.50/46.41 (v127(constB143, bitIndex1)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21531, 21519])).
% 73.50/46.41 tff(21533,plain,
% 73.50/46.41 (v129(constB144, bitIndex1)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21351, 21532])).
% 73.50/46.41 tff(21534,plain,
% 73.50/46.41 (v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1))),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21358, 854, 21524])).
% 73.50/46.41 tff(21535,plain,
% 73.50/46.41 (v90(constB144, bitIndex1)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21534, 21533])).
% 73.50/46.41 tff(21536,plain,
% 73.50/46.41 (v90(constB145, bitIndex1)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21368, 21535])).
% 73.50/46.41 tff(21537,plain,
% 73.50/46.41 (~v119(constB145)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21431, 1908, 21536])).
% 73.50/46.41 tff(21538,plain,
% 73.50/46.41 (~v120(constB145)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21435, 1919, 21536])).
% 73.50/46.41 tff(21539,plain,
% 73.50/46.41 (~v123(constB145)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21439, 1930, 21536])).
% 73.50/46.41 tff(21540,plain,
% 73.50/46.41 (~v124(constB145)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21443, 1941, 21536])).
% 73.50/46.41 tff(21541,assumption,(v90(constB146, bitIndex0)), introduced(assumption)).
% 73.50/46.41 tff(21542,assumption,(~v130(constB143, bitIndex0)), introduced(assumption)).
% 73.50/46.41 tff(21543,plain,
% 73.50/46.41 ((~v127(constB143, bitIndex0)) | v26(constB143)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21376, 905, 21542])).
% 73.50/46.41 tff(21544,plain,
% 73.50/46.41 (~v127(constB143, bitIndex0)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21543, 21519])).
% 73.50/46.41 tff(21545,plain,
% 73.50/46.41 (~v129(constB144, bitIndex0)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21382, 21544])).
% 73.50/46.41 tff(21546,plain,
% 73.50/46.41 ((~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21389, 938, 21524])).
% 73.50/46.41 tff(21547,plain,
% 73.50/46.41 (~v90(constB144, bitIndex0)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21546, 21545])).
% 73.50/46.41 tff(21548,plain,
% 73.50/46.41 (~v90(constB145, bitIndex0)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21399, 21547])).
% 73.50/46.41 tff(21549,plain,
% 73.50/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB145, bitIndex0) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB145, bitIndex0) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex0)))),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21550,plain,
% 73.50/46.41 (((~nextState(constB145, constB146)) | v90(constB145, bitIndex0) | v100(constB146) | (~v90(constB146, bitIndex0))) <=> (v90(constB145, bitIndex0) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex0)))),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21551,plain,
% 73.50/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB145, constB146)) | v90(constB145, bitIndex0) | v100(constB146) | (~v90(constB146, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB145, bitIndex0) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex0))))),
% 73.50/46.41 inference(monotonicity,[status(thm)],[21550])).
% 73.50/46.41 tff(21552,plain,
% 73.50/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB145, constB146)) | v90(constB145, bitIndex0) | v100(constB146) | (~v90(constB146, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB145, bitIndex0) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex0)))),
% 73.50/46.41 inference(transitivity,[status(thm)],[21551, 21549])).
% 73.50/46.41 tff(21553,plain,
% 73.50/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB145, constB146)) | v90(constB145, bitIndex0) | v100(constB146) | (~v90(constB146, bitIndex0)))),
% 73.50/46.41 inference(quant_inst,[status(thm)],[])).
% 73.50/46.41 tff(21554,plain,
% 73.50/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB145, bitIndex0) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, bitIndex0))),
% 73.50/46.41 inference(modus_ponens,[status(thm)],[21553, 21552])).
% 73.50/46.41 tff(21555,plain,
% 73.50/46.41 (v90(constB145, bitIndex0) | v100(constB146) | (~v90(constB146, bitIndex0))),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21554, 130, 21459])).
% 73.50/46.41 tff(21556,plain,
% 73.50/46.41 (v100(constB146)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21555, 21548, 21541])).
% 73.50/46.41 tff(21557,assumption,(v90(constB146, bitIndex1)), introduced(assumption)).
% 73.50/46.41 tff(21558,plain,
% 73.50/46.41 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21559,plain,
% 73.50/46.41 (((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1)) <=> ((~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21560,plain,
% 73.50/46.41 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146))))),
% 73.50/46.41 inference(monotonicity,[status(thm)],[21559])).
% 73.50/46.41 tff(21561,plain,
% 73.50/46.41 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))),
% 73.50/46.41 inference(transitivity,[status(thm)],[21560, 21558])).
% 73.50/46.41 tff(21562,plain,
% 73.50/46.41 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1))),
% 73.50/46.41 inference(quant_inst,[status(thm)],[])).
% 73.50/46.41 tff(21563,plain,
% 73.50/46.41 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146))),
% 73.50/46.41 inference(modus_ponens,[status(thm)],[21562, 21561])).
% 73.50/46.41 tff(21564,plain,
% 73.50/46.41 (v129(constB146, bitIndex1) | (~v100(constB146))),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21563, 603, 21557])).
% 73.50/46.41 tff(21565,plain,
% 73.50/46.41 (v129(constB146, bitIndex1)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21564, 21556])).
% 73.50/46.41 tff(21566,plain,
% 73.50/46.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1)))),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21567,plain,
% 73.50/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1)))),
% 73.50/46.41 inference(quant_inst,[status(thm)],[])).
% 73.50/46.41 tff(21568,plain,
% 73.50/46.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1))),
% 73.50/46.41 inference(modus_ponens,[status(thm)],[21567, 21566])).
% 73.50/46.41 tff(21569,plain,
% 73.50/46.41 (v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1))),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21568, 588, 21459])).
% 73.50/46.41 tff(21570,plain,
% 73.50/46.41 (v127(constB145, bitIndex1)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21569, 21565])).
% 73.50/46.41 tff(21571,plain,
% 73.50/46.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21572,plain,
% 73.50/46.41 ((v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1))) <=> ((~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21573,plain,
% 73.50/46.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1)))),
% 73.50/46.41 inference(monotonicity,[status(thm)],[21572])).
% 73.50/46.41 tff(21574,plain,
% 73.50/46.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))),
% 73.50/46.41 inference(transitivity,[status(thm)],[21573, 21571])).
% 73.50/46.41 tff(21575,plain,
% 73.50/46.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1)))),
% 73.50/46.41 inference(quant_inst,[status(thm)],[])).
% 73.50/46.41 tff(21576,plain,
% 73.50/46.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1)),
% 73.50/46.41 inference(modus_ponens,[status(thm)],[21575, 21574])).
% 73.50/46.41 tff(21577,plain,
% 73.50/46.41 ((~v127(constB145, bitIndex1)) | v130(constB145, bitIndex1)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21576, 555, 21412])).
% 73.50/46.41 tff(21578,plain,
% 73.50/46.41 (v130(constB145, bitIndex1)),
% 73.50/46.41 inference(unit_resolution,[status(thm)],[21577, 21570])).
% 73.50/46.41 tff(21579,plain,
% 73.50/46.41 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB145, bitIndex1)) | v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB145, bitIndex1)) | v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145))),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21580,plain,
% 73.50/46.41 ((v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1))) <=> ((~v130(constB145, bitIndex1)) | v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145))),
% 73.50/46.41 inference(rewrite,[status(thm)],[])).
% 73.50/46.41 tff(21581,plain,
% 73.50/46.41 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB145, bitIndex1)) | v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145)))),
% 73.50/46.41 inference(monotonicity,[status(thm)],[21580])).
% 73.50/46.41 tff(21582,plain,
% 73.50/46.41 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB145, bitIndex1)) | v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145))),
% 73.50/46.41 inference(transitivity,[status(thm)],[21581, 21579])).
% 73.50/46.41 tff(21583,plain,
% 73.50/46.41 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex1)))),
% 73.50/46.41 inference(quant_inst,[status(thm)],[])).
% 73.50/46.41 tff(21584,plain,
% 73.50/46.41 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB145, bitIndex1)) | v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145)),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21583, 21582])).
% 73.50/46.42 tff(21585,plain,
% 73.50/46.42 ($false),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21584, 2146, 21578, 21540, 21539, 21538, 21537, 21529, 21528])).
% 73.50/46.42 tff(21586,plain,(v26(constB143) | (~v90(constB146, bitIndex1)) | (~v90(constB146, bitIndex0)) | (~v100(constB144)) | (~v130(constB143, bitIndex2)) | (~v130(constB143, bitIndex1)) | v130(constB143, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.50/46.42 tff(21587,plain,
% 73.50/46.42 ((~v90(constB146, bitIndex1)) | (~v90(constB146, bitIndex0)) | (~v100(constB144)) | (~v130(constB143, bitIndex2)) | (~v130(constB143, bitIndex1)) | v130(constB143, bitIndex0)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21586, 21296])).
% 73.50/46.42 tff(21588,plain,
% 73.50/46.42 (~v90(constB146, bitIndex1)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21587, 21518, 21513, 21225, 21221, 21217])).
% 73.50/46.42 tff(21589,plain,
% 73.50/46.42 ((~v1(constB147)) <=> (~v1(constB147))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21590,axiom,(~v1(constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_147_1_1')).
% 73.50/46.42 tff(21591,plain,
% 73.50/46.42 (~v1(constB147)),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21590, 21589])).
% 73.50/46.42 tff(21592,plain,
% 73.50/46.42 (nextState(constB146, constB147) <=> nextState(constB146, constB147)),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21593,axiom,(nextState(constB146, constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_146_1')).
% 73.50/46.42 tff(21594,plain,
% 73.50/46.42 (nextState(constB146, constB147)),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21593, 21592])).
% 73.50/46.42 tff(21595,plain,
% 73.50/46.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21596,plain,
% 73.50/46.42 (((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147)) <=> (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21597,plain,
% 73.50/46.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147))))),
% 73.50/46.42 inference(monotonicity,[status(thm)],[21596])).
% 73.50/46.42 tff(21598,plain,
% 73.50/46.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 73.50/46.42 inference(transitivity,[status(thm)],[21597, 21595])).
% 73.50/46.42 tff(21599,plain,
% 73.50/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21600,plain,
% 73.50/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147))),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21599, 21598])).
% 73.50/46.42 tff(21601,plain,
% 73.50/46.42 (~v101(constB147)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21600, 56, 21594, 21591])).
% 73.50/46.42 tff(21602,plain,
% 73.50/46.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21603,plain,
% 73.50/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21604,plain,
% 73.50/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147))),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21603, 21602])).
% 73.50/46.42 tff(21605,plain,
% 73.50/46.42 (v101(constB147) | (~v100(constB147))),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21604, 73, 21594])).
% 73.50/46.42 tff(21606,plain,
% 73.50/46.42 (~v100(constB147)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21605, 21601])).
% 73.50/46.42 tff(21607,plain,
% 73.50/46.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21608,plain,
% 73.50/46.42 (((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1))) <=> (v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21609,plain,
% 73.50/46.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1))))),
% 73.50/46.42 inference(monotonicity,[status(thm)],[21608])).
% 73.50/46.42 tff(21610,plain,
% 73.50/46.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 73.50/46.42 inference(transitivity,[status(thm)],[21609, 21607])).
% 73.50/46.42 tff(21611,plain,
% 73.50/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21612,plain,
% 73.50/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1))),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21611, 21610])).
% 73.50/46.42 tff(21613,plain,
% 73.50/46.42 (v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1))),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21612, 109, 21594])).
% 73.50/46.42 tff(21614,plain,
% 73.50/46.42 (v90(constB146, bitIndex1) | (~v90(constB147, bitIndex1))),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21613, 21606])).
% 73.50/46.42 tff(21615,plain,
% 73.50/46.42 (~v90(constB147, bitIndex1)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21614, 21588])).
% 73.50/46.42 tff(21616,plain,
% 73.50/46.42 (v127(constB143, bitIndex2)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21300, 21225])).
% 73.50/46.42 tff(21617,plain,
% 73.50/46.42 (v129(constB144, bitIndex2)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21305, 21616])).
% 73.50/46.42 tff(21618,plain,
% 73.50/46.42 (v90(constB144, bitIndex2) | (~v100(constB144))),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21312, 1334, 21617])).
% 73.50/46.42 tff(21619,plain,
% 73.50/46.42 (v90(constB144, bitIndex2)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21618, 21518])).
% 73.50/46.42 tff(21620,plain,
% 73.50/46.42 (v90(constB145, bitIndex2)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21340, 21619])).
% 73.50/46.42 tff(21621,plain,
% 73.50/46.42 (~v121(constB145)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21423, 1842, 21620])).
% 73.50/46.42 tff(21622,plain,
% 73.50/46.42 (~v122(constB145)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21427, 1853, 21620])).
% 73.50/46.42 tff(21623,plain,
% 73.50/46.42 (v127(constB143, bitIndex1)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21346, 21221])).
% 73.50/46.42 tff(21624,plain,
% 73.50/46.42 (v129(constB144, bitIndex1)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21351, 21623])).
% 73.50/46.42 tff(21625,plain,
% 73.50/46.42 (v90(constB144, bitIndex1) | (~v100(constB144))),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21358, 854, 21624])).
% 73.50/46.42 tff(21626,plain,
% 73.50/46.42 (v90(constB144, bitIndex1)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21625, 21518])).
% 73.50/46.42 tff(21627,plain,
% 73.50/46.42 (v90(constB145, bitIndex1)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21368, 21626])).
% 73.50/46.42 tff(21628,plain,
% 73.50/46.42 (~v119(constB145)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21431, 1908, 21627])).
% 73.50/46.42 tff(21629,plain,
% 73.50/46.42 (~v120(constB145)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21435, 1919, 21627])).
% 73.50/46.42 tff(21630,plain,
% 73.50/46.42 (~v123(constB145)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21439, 1930, 21627])).
% 73.50/46.42 tff(21631,plain,
% 73.50/46.42 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr))) <=> ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr))))),
% 73.50/46.42 inference(bind,[status(th)],[])).
% 73.50/46.42 tff(21632,plain,
% 73.50/46.42 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))),
% 73.50/46.42 inference(quant_intro,[status(thm)],[21631])).
% 73.50/46.42 tff(21633,plain,
% 73.50/46.42 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21634,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_4')).
% 73.50/46.42 tff(21635,plain,
% 73.50/46.42 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21634, 21633])).
% 73.50/46.42 tff(21636,plain,(
% 73.50/46.42 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))),
% 73.50/46.42 inference(skolemize,[status(sab)],[21635])).
% 73.50/46.42 tff(21637,plain,
% 73.50/46.42 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21636, 21632])).
% 73.50/46.42 tff(21638,plain,
% 73.50/46.42 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | ((~v90(constB146, bitIndex0)) | (~v125(constB146)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | (~v90(constB146, bitIndex0)) | (~v125(constB146)))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21639,plain,
% 73.50/46.42 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | ((~v90(constB146, bitIndex0)) | (~v125(constB146)))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21640,plain,
% 73.50/46.42 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | (~v90(constB146, bitIndex0)) | (~v125(constB146))),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21639, 21638])).
% 73.50/46.42 tff(21641,plain,
% 73.50/46.42 (~v125(constB146)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21640, 21637, 21513])).
% 73.50/46.42 tff(21642,assumption,(v124(constB145)), introduced(assumption)).
% 73.50/46.42 tff(21643,plain,
% 73.50/46.42 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB145)) | v130(constB145, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB145)) | v130(constB145, bitIndex2))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21644,plain,
% 73.50/46.42 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB145)) | v130(constB145, bitIndex2))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21645,plain,
% 73.50/46.42 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB145)) | v130(constB145, bitIndex2)),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21644, 21643])).
% 73.50/46.42 tff(21646,plain,
% 73.50/46.42 (v130(constB145, bitIndex2)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21645, 1786, 21642])).
% 73.50/46.42 tff(21647,plain,
% 73.50/46.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB145) | (~v130(constB145, bitIndex2)) | v127(constB145, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB145) | (~v130(constB145, bitIndex2)) | v127(constB145, bitIndex2))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21648,plain,
% 73.50/46.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB145) | (~v130(constB145, bitIndex2)) | v127(constB145, bitIndex2))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21649,plain,
% 73.50/46.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB145) | (~v130(constB145, bitIndex2)) | v127(constB145, bitIndex2)),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21648, 21647])).
% 73.50/46.42 tff(21650,plain,
% 73.50/46.42 ((~v130(constB145, bitIndex2)) | v127(constB145, bitIndex2)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21649, 1304, 21412])).
% 73.50/46.42 tff(21651,plain,
% 73.50/46.42 (v127(constB145, bitIndex2)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21650, 21646])).
% 73.50/46.42 tff(21652,plain,
% 73.50/46.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex2)) | v129(constB146, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex2)) | v129(constB146, bitIndex2))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21653,plain,
% 73.50/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex2)) | v129(constB146, bitIndex2))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21654,plain,
% 73.50/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex2)) | v129(constB146, bitIndex2)),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21653, 21652])).
% 73.50/46.42 tff(21655,plain,
% 73.50/46.42 ((~v127(constB145, bitIndex2)) | v129(constB146, bitIndex2)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21654, 1319, 21459])).
% 73.50/46.42 tff(21656,plain,
% 73.50/46.42 (v129(constB146, bitIndex2)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21655, 21651])).
% 73.50/46.42 tff(21657,plain,
% 73.50/46.42 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB145)) | (~v130(constB145, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB145)) | (~v130(constB145, bitIndex0)))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21658,plain,
% 73.50/46.42 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB145)) | (~v130(constB145, bitIndex0)))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21659,plain,
% 73.50/46.42 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB145)) | (~v130(constB145, bitIndex0))),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21658, 21657])).
% 73.50/46.42 tff(21660,plain,
% 73.50/46.42 (~v130(constB145, bitIndex0)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21659, 1992, 21642])).
% 73.50/46.42 tff(21661,plain,
% 73.50/46.42 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB145, bitIndex0)) | v26(constB145) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB145, bitIndex0)) | v26(constB145) | v130(constB145, bitIndex0))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21662,plain,
% 73.50/46.42 ((v26(constB145) | v130(constB145, bitIndex0) | (~v127(constB145, bitIndex0))) <=> ((~v127(constB145, bitIndex0)) | v26(constB145) | v130(constB145, bitIndex0))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21663,plain,
% 73.50/46.42 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB145) | v130(constB145, bitIndex0) | (~v127(constB145, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB145, bitIndex0)) | v26(constB145) | v130(constB145, bitIndex0)))),
% 73.50/46.42 inference(monotonicity,[status(thm)],[21662])).
% 73.50/46.42 tff(21664,plain,
% 73.50/46.42 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB145) | v130(constB145, bitIndex0) | (~v127(constB145, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB145, bitIndex0)) | v26(constB145) | v130(constB145, bitIndex0))),
% 73.50/46.42 inference(transitivity,[status(thm)],[21663, 21661])).
% 73.50/46.42 tff(21665,plain,
% 73.50/46.42 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB145) | v130(constB145, bitIndex0) | (~v127(constB145, bitIndex0)))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21666,plain,
% 73.50/46.42 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB145, bitIndex0)) | v26(constB145) | v130(constB145, bitIndex0)),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21665, 21664])).
% 73.50/46.42 tff(21667,plain,
% 73.50/46.42 ((~v127(constB145, bitIndex0)) | v130(constB145, bitIndex0)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21666, 905, 21412])).
% 73.50/46.42 tff(21668,plain,
% 73.50/46.42 (~v127(constB145, bitIndex0)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21667, 21660])).
% 73.50/46.42 tff(21669,assumption,(~v108(constB145)), introduced(assumption)).
% 73.50/46.42 tff(21670,plain,
% 73.50/46.42 (~v112(constB145)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21510, 210, 21669])).
% 73.50/46.42 tff(21671,plain,
% 73.50/46.42 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB145) | (~v26(constB145)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB145) | (~v26(constB145)))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21672,plain,
% 73.50/46.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB145) | (~v26(constB145)))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21673,plain,
% 73.50/46.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB145) | (~v26(constB145))),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21672, 21671])).
% 73.50/46.42 tff(21674,plain,
% 73.50/46.42 (~v26(constB145)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21673, 221, 21669])).
% 73.50/46.42 tff(21675,plain,
% 73.50/46.42 (~v113(constB145)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21418, 301, 21674, 21670])).
% 73.50/46.42 tff(21676,plain,
% 73.50/46.42 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB145) | (~v114(constB145)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB145) | (~v114(constB145)))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21677,plain,
% 73.50/46.42 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB145) | (~v114(constB145)))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21678,plain,
% 73.50/46.42 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB145) | (~v114(constB145))),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21677, 21676])).
% 73.50/46.42 tff(21679,plain,
% 73.50/46.42 (~v114(constB145)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21678, 287, 21675])).
% 73.50/46.42 tff(21680,plain,
% 73.50/46.42 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB145) | (~v115(constB145)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB145) | (~v115(constB145)))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21681,plain,
% 73.50/46.42 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB145) | (~v115(constB145)))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21682,plain,
% 73.50/46.42 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB145) | (~v115(constB145))),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21681, 21680])).
% 73.50/46.42 tff(21683,plain,
% 73.50/46.42 (~v115(constB145)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21682, 276, 21679])).
% 73.50/46.42 tff(21684,plain,
% 73.50/46.42 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB145) | (~v116(constB145)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB145) | (~v116(constB145)))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21685,plain,
% 73.50/46.42 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB145) | (~v116(constB145)))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21686,plain,
% 73.50/46.42 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB145) | (~v116(constB145))),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21685, 21684])).
% 73.50/46.42 tff(21687,plain,
% 73.50/46.42 (~v116(constB145)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21686, 265, 21683])).
% 73.50/46.42 tff(21688,plain,
% 73.50/46.42 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB145) | (~v117(constB145)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB145) | (~v117(constB145)))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21689,plain,
% 73.50/46.42 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB145) | (~v117(constB145)))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21690,plain,
% 73.50/46.42 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB145) | (~v117(constB145))),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21689, 21688])).
% 73.50/46.42 tff(21691,plain,
% 73.50/46.42 (~v117(constB145)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21690, 254, 21687])).
% 73.50/46.42 tff(21692,plain,
% 73.50/46.42 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB145) | (~v118(constB145)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB145) | (~v118(constB145)))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21693,plain,
% 73.50/46.42 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB145) | (~v118(constB145)))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21694,plain,
% 73.50/46.42 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB145) | (~v118(constB145))),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21693, 21692])).
% 73.50/46.42 tff(21695,plain,
% 73.50/46.42 (~v118(constB145)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21694, 243, 21691])).
% 73.50/46.42 tff(21696,plain,
% 73.50/46.42 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB145) | (~v124(constB145)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB145) | (~v124(constB145)))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21697,plain,
% 73.50/46.42 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB145) | (~v124(constB145)))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21698,plain,
% 73.50/46.42 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB145) | (~v124(constB145))),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21697, 21696])).
% 73.50/46.42 tff(21699,plain,
% 73.50/46.42 (~v124(constB145)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21698, 1718, 21679])).
% 73.50/46.42 tff(21700,assumption,(~v127(constB145, bitIndex0)), introduced(assumption)).
% 73.50/46.42 tff(21701,plain,
% 73.50/46.42 (v26(constB145) | (~v130(constB145, bitIndex0))),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21454, 179, 21700])).
% 73.50/46.42 tff(21702,plain,
% 73.50/46.42 (~v130(constB145, bitIndex0)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21701, 21674])).
% 73.50/46.42 tff(21703,plain,
% 73.50/46.42 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB145)) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB145)) | v130(constB145, bitIndex0))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21704,plain,
% 73.50/46.42 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB145)) | v130(constB145, bitIndex0))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21705,plain,
% 73.50/46.42 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB145)) | v130(constB145, bitIndex0)),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21704, 21703])).
% 73.50/46.42 tff(21706,plain,
% 73.50/46.42 (~v123(constB145)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21705, 1666, 21702])).
% 73.50/46.42 tff(21707,plain,
% 73.50/46.42 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB145)) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB145)) | v130(constB145, bitIndex0))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21708,plain,
% 73.50/46.42 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB145)) | v130(constB145, bitIndex0))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21709,plain,
% 73.50/46.42 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB145)) | v130(constB145, bitIndex0)),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21708, 21707])).
% 73.50/46.42 tff(21710,plain,
% 73.50/46.42 (~v119(constB145)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21709, 165, 21702])).
% 73.50/46.42 tff(21711,plain,
% 73.50/46.42 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB145)) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB145)) | v130(constB145, bitIndex0))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21712,plain,
% 73.50/46.42 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB145)) | v130(constB145, bitIndex0))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21713,plain,
% 73.50/46.42 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB145)) | v130(constB145, bitIndex0)),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21712, 21711])).
% 73.50/46.42 tff(21714,plain,
% 73.50/46.42 (~v121(constB145)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21713, 1162, 21702])).
% 73.50/46.42 tff(21715,plain,
% 73.50/46.42 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB145) | (~v122(constB145)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB145) | (~v122(constB145)))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21716,plain,
% 73.50/46.42 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB145) | (~v122(constB145)))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21717,plain,
% 73.50/46.42 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB145) | (~v122(constB145))),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21716, 21715])).
% 73.50/46.42 tff(21718,plain,
% 73.50/46.42 (~v122(constB145)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21717, 1214, 21687])).
% 73.50/46.42 tff(21719,plain,
% 73.50/46.42 (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21450, 2192, 21702])).
% 73.50/46.42 tff(21720,plain,
% 73.50/46.42 (v120(constB145)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21719, 21718, 21714, 21710, 21706, 21699])).
% 73.50/46.42 tff(21721,plain,
% 73.50/46.42 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB145) | (~v120(constB145)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB145) | (~v120(constB145)))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21722,plain,
% 73.50/46.42 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB145) | (~v120(constB145)))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21723,plain,
% 73.50/46.42 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB145) | (~v120(constB145))),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21722, 21721])).
% 73.50/46.42 tff(21724,plain,
% 73.50/46.42 ($false),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21723, 646, 21720, 21695])).
% 73.50/46.42 tff(21725,plain,(v108(constB145) | v127(constB145, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.50/46.42 tff(21726,plain,
% 73.50/46.42 (v108(constB145)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21725, 21668])).
% 73.50/46.42 tff(21727,plain,
% 73.50/46.42 (v110(constB146)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21506, 21726])).
% 73.50/46.42 tff(21728,plain,
% 73.50/46.42 (v100(constB146)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21498, 21727])).
% 73.50/46.42 tff(21729,plain,
% 73.50/46.42 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~v129(constB146, bitIndex2)) | (~v100(constB146)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~v129(constB146, bitIndex2)) | (~v100(constB146)))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21730,plain,
% 73.50/46.42 ((v90(constB146, bitIndex2) | (~v100(constB146)) | (~v129(constB146, bitIndex2))) <=> (v90(constB146, bitIndex2) | (~v129(constB146, bitIndex2)) | (~v100(constB146)))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21731,plain,
% 73.50/46.42 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~v100(constB146)) | (~v129(constB146, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~v129(constB146, bitIndex2)) | (~v100(constB146))))),
% 73.50/46.42 inference(monotonicity,[status(thm)],[21730])).
% 73.50/46.42 tff(21732,plain,
% 73.50/46.42 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~v100(constB146)) | (~v129(constB146, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~v129(constB146, bitIndex2)) | (~v100(constB146)))),
% 73.50/46.42 inference(transitivity,[status(thm)],[21731, 21729])).
% 73.50/46.42 tff(21733,plain,
% 73.50/46.42 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~v100(constB146)) | (~v129(constB146, bitIndex2)))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21734,plain,
% 73.50/46.42 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~v129(constB146, bitIndex2)) | (~v100(constB146))),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21733, 21732])).
% 73.50/46.42 tff(21735,plain,
% 73.50/46.42 (v90(constB146, bitIndex2)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21734, 1334, 21728, 21656])).
% 73.50/46.42 tff(21736,plain,
% 73.50/46.42 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB145)) | v130(constB145, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB145)) | v130(constB145, bitIndex1))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21737,plain,
% 73.50/46.42 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB145)) | v130(constB145, bitIndex1))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21738,plain,
% 73.50/46.42 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB145)) | v130(constB145, bitIndex1)),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21737, 21736])).
% 73.50/46.42 tff(21739,plain,
% 73.50/46.42 (v130(constB145, bitIndex1)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21738, 1867, 21642])).
% 73.50/46.42 tff(21740,plain,
% 73.50/46.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB145) | (~v130(constB145, bitIndex1)) | v127(constB145, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB145) | (~v130(constB145, bitIndex1)) | v127(constB145, bitIndex1))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21741,plain,
% 73.50/46.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB145) | (~v130(constB145, bitIndex1)) | v127(constB145, bitIndex1))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21742,plain,
% 73.50/46.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB145) | (~v130(constB145, bitIndex1)) | v127(constB145, bitIndex1)),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21741, 21740])).
% 73.50/46.42 tff(21743,plain,
% 73.50/46.42 ((~v130(constB145, bitIndex1)) | v127(constB145, bitIndex1)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21742, 824, 21412])).
% 73.50/46.42 tff(21744,plain,
% 73.50/46.42 (v127(constB145, bitIndex1)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21743, 21739])).
% 73.50/46.42 tff(21745,plain,
% 73.50/46.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex1)) | v129(constB146, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex1)) | v129(constB146, bitIndex1))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21746,plain,
% 73.50/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex1)) | v129(constB146, bitIndex1))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21747,plain,
% 73.50/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex1)) | v129(constB146, bitIndex1)),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21746, 21745])).
% 73.50/46.42 tff(21748,plain,
% 73.50/46.42 ((~v127(constB145, bitIndex1)) | v129(constB146, bitIndex1)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21747, 839, 21459])).
% 73.50/46.42 tff(21749,plain,
% 73.50/46.42 (v129(constB146, bitIndex1)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21748, 21744])).
% 73.50/46.42 tff(21750,plain,
% 73.50/46.42 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~v129(constB146, bitIndex1)) | (~v100(constB146)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~v129(constB146, bitIndex1)) | (~v100(constB146)))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21751,plain,
% 73.50/46.42 ((v90(constB146, bitIndex1) | (~v100(constB146)) | (~v129(constB146, bitIndex1))) <=> (v90(constB146, bitIndex1) | (~v129(constB146, bitIndex1)) | (~v100(constB146)))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21752,plain,
% 73.50/46.42 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~v100(constB146)) | (~v129(constB146, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~v129(constB146, bitIndex1)) | (~v100(constB146))))),
% 73.50/46.42 inference(monotonicity,[status(thm)],[21751])).
% 73.50/46.42 tff(21753,plain,
% 73.50/46.42 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~v100(constB146)) | (~v129(constB146, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~v129(constB146, bitIndex1)) | (~v100(constB146)))),
% 73.50/46.42 inference(transitivity,[status(thm)],[21752, 21750])).
% 73.50/46.42 tff(21754,plain,
% 73.50/46.42 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB146, bitIndex1) | (~v100(constB146)) | (~v129(constB146, bitIndex1)))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21755,plain,
% 73.50/46.42 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB146, bitIndex1) | (~v129(constB146, bitIndex1)) | (~v100(constB146))),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21754, 21753])).
% 73.50/46.42 tff(21756,plain,
% 73.50/46.42 (v90(constB146, bitIndex1)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21755, 854, 21728, 21749])).
% 73.50/46.42 tff(21757,plain,
% 73.50/46.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex0) | (~v129(constB146, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex0) | (~v129(constB146, bitIndex0)))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21758,plain,
% 73.50/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex0) | (~v129(constB146, bitIndex0)))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21759,plain,
% 73.50/46.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex0) | (~v129(constB146, bitIndex0))),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21758, 21757])).
% 73.50/46.42 tff(21760,plain,
% 73.50/46.42 (v127(constB145, bitIndex0) | (~v129(constB146, bitIndex0))),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21759, 923, 21459])).
% 73.50/46.42 tff(21761,plain,
% 73.50/46.42 (~v129(constB146, bitIndex0)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21760, 21668])).
% 73.50/46.42 tff(21762,plain,
% 73.50/46.42 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | v129(constB146, bitIndex0) | (~v100(constB146)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | v129(constB146, bitIndex0) | (~v100(constB146)))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21763,plain,
% 73.50/46.42 (((~v90(constB146, bitIndex0)) | (~v100(constB146)) | v129(constB146, bitIndex0)) <=> ((~v90(constB146, bitIndex0)) | v129(constB146, bitIndex0) | (~v100(constB146)))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21764,plain,
% 73.50/46.42 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | (~v100(constB146)) | v129(constB146, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | v129(constB146, bitIndex0) | (~v100(constB146))))),
% 73.50/46.42 inference(monotonicity,[status(thm)],[21763])).
% 73.50/46.42 tff(21765,plain,
% 73.50/46.42 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | (~v100(constB146)) | v129(constB146, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | v129(constB146, bitIndex0) | (~v100(constB146)))),
% 73.50/46.42 inference(transitivity,[status(thm)],[21764, 21762])).
% 73.50/46.42 tff(21766,plain,
% 73.50/46.42 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | (~v100(constB146)) | v129(constB146, bitIndex0))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21767,plain,
% 73.50/46.42 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | v129(constB146, bitIndex0) | (~v100(constB146))),
% 73.50/46.42 inference(modus_ponens,[status(thm)],[21766, 21765])).
% 73.50/46.42 tff(21768,plain,
% 73.50/46.42 (~v90(constB146, bitIndex0)),
% 73.50/46.42 inference(unit_resolution,[status(thm)],[21767, 938, 21728, 21761])).
% 73.50/46.42 tff(21769,assumption,(~v125(constB146)), introduced(assumption)).
% 73.50/46.42 tff(21770,plain,
% 73.50/46.42 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB146, bitIndex0) | (~v90(constB146, bitIndex1)) | (~v90(constB146, bitIndex2)) | v125(constB146))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB146, bitIndex0) | (~v90(constB146, bitIndex1)) | (~v90(constB146, bitIndex2)) | v125(constB146))),
% 73.50/46.42 inference(rewrite,[status(thm)],[])).
% 73.50/46.42 tff(21771,plain,
% 73.50/46.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB146, bitIndex0) | (~v90(constB146, bitIndex1)) | (~v90(constB146, bitIndex2)) | v125(constB146))),
% 73.50/46.42 inference(quant_inst,[status(thm)],[])).
% 73.50/46.42 tff(21772,plain,
% 73.50/46.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB146, bitIndex0) | (~v90(constB146, bitIndex1)) | (~v90(constB146, bitIndex2)) | v125(constB146)),
% 73.50/46.43 inference(modus_ponens,[status(thm)],[21771, 21770])).
% 73.50/46.43 tff(21773,plain,
% 73.50/46.43 (v90(constB146, bitIndex0) | (~v90(constB146, bitIndex1)) | (~v90(constB146, bitIndex2))),
% 73.50/46.43 inference(unit_resolution,[status(thm)],[21772, 2036, 21769])).
% 73.50/46.43 tff(21774,plain,
% 73.50/46.43 ($false),
% 73.50/46.43 inference(unit_resolution,[status(thm)],[21773, 21768, 21756, 21735])).
% 73.50/46.43 tff(21775,plain,((~v124(constB145)) | v125(constB146)), inference(lemma,lemma(discharge,[]))).
% 73.50/46.43 tff(21776,plain,
% 73.50/46.43 (~v124(constB145)),
% 73.50/46.43 inference(unit_resolution,[status(thm)],[21775, 21641])).
% 73.50/46.43 tff(21777,plain,
% 73.50/46.43 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB145, bitIndex2)) | v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB145, bitIndex2)) | v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145))),
% 73.50/46.43 inference(rewrite,[status(thm)],[])).
% 73.50/46.43 tff(21778,plain,
% 73.50/46.43 ((v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2))) <=> ((~v130(constB145, bitIndex2)) | v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145))),
% 73.50/46.43 inference(rewrite,[status(thm)],[])).
% 73.50/46.43 tff(21779,plain,
% 73.50/46.43 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB145, bitIndex2)) | v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145)))),
% 73.50/46.43 inference(monotonicity,[status(thm)],[21778])).
% 73.50/46.43 tff(21780,plain,
% 73.50/46.43 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB145, bitIndex2)) | v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145))),
% 73.50/46.43 inference(transitivity,[status(thm)],[21779, 21777])).
% 73.50/46.43 tff(21781,plain,
% 73.50/46.43 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, bitIndex2)))),
% 73.50/46.43 inference(quant_inst,[status(thm)],[])).
% 73.50/46.43 tff(21782,plain,
% 73.50/46.43 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB145, bitIndex2)) | v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145)),
% 73.50/46.43 inference(modus_ponens,[status(thm)],[21781, 21780])).
% 73.50/46.43 tff(21783,plain,
% 73.50/46.43 (~v130(constB145, bitIndex2)),
% 73.50/46.43 inference(unit_resolution,[status(thm)],[21782, 1955, 21776, 21630, 21629, 21628, 21622, 21621])).
% 73.50/46.43 tff(21784,plain,
% 73.50/46.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))),
% 73.50/46.43 inference(rewrite,[status(thm)],[])).
% 73.50/46.43 tff(21785,plain,
% 73.50/46.43 ((v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2))) <=> ((~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))),
% 73.50/46.43 inference(rewrite,[status(thm)],[])).
% 73.50/46.43 tff(21786,plain,
% 73.50/46.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2)))),
% 73.50/46.43 inference(monotonicity,[status(thm)],[21785])).
% 73.50/46.43 tff(21787,plain,
% 73.50/46.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))),
% 73.50/46.43 inference(transitivity,[status(thm)],[21786, 21784])).
% 73.50/46.43 tff(21788,plain,
% 73.50/46.43 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2)))),
% 73.50/46.43 inference(quant_inst,[status(thm)],[])).
% 73.50/46.43 tff(21789,plain,
% 73.50/46.43 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2)),
% 73.50/46.43 inference(modus_ponens,[status(thm)],[21788, 21787])).
% 73.50/46.43 tff(21790,plain,
% 73.50/46.43 ((~v127(constB145, bitIndex2)) | v130(constB145, bitIndex2)),
% 73.50/46.43 inference(unit_resolution,[status(thm)],[21789, 470, 21412])).
% 73.50/46.43 tff(21791,plain,
% 73.50/46.43 (~v127(constB145, bitIndex2)),
% 73.50/46.43 inference(unit_resolution,[status(thm)],[21790, 21783])).
% 73.50/46.43 tff(21792,plain,
% 73.50/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2)))),
% 73.50/46.43 inference(rewrite,[status(thm)],[])).
% 73.50/46.43 tff(21793,plain,
% 73.50/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2)))),
% 73.50/46.43 inference(quant_inst,[status(thm)],[])).
% 73.50/46.43 tff(21794,plain,
% 73.50/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2))),
% 73.50/46.43 inference(modus_ponens,[status(thm)],[21793, 21792])).
% 73.50/46.43 tff(21795,plain,
% 73.50/46.43 (v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2))),
% 73.50/46.43 inference(unit_resolution,[status(thm)],[21794, 488, 21459])).
% 73.50/46.43 tff(21796,plain,
% 73.50/46.43 (~v129(constB146, bitIndex2)),
% 73.50/46.43 inference(unit_resolution,[status(thm)],[21795, 21791])).
% 73.50/46.43 tff(21797,plain,
% 73.50/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex1))),
% 73.50/46.43 inference(rewrite,[status(thm)],[])).
% 73.50/46.43 tff(21798,plain,
% 73.50/46.43 (((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex1)) | v100(constB146) | v90(constB146, bitIndex1)) <=> ((~v90(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex1))),
% 73.60/46.43 inference(rewrite,[status(thm)],[])).
% 73.60/46.43 tff(21799,plain,
% 73.60/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex1)) | v100(constB146) | v90(constB146, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex1)))),
% 73.60/46.43 inference(monotonicity,[status(thm)],[21798])).
% 73.60/46.43 tff(21800,plain,
% 73.60/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex1)) | v100(constB146) | v90(constB146, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex1))),
% 73.60/46.43 inference(transitivity,[status(thm)],[21799, 21797])).
% 73.60/46.43 tff(21801,plain,
% 73.60/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v90(constB145, bitIndex1)) | v100(constB146) | v90(constB146, bitIndex1))),
% 73.60/46.43 inference(quant_inst,[status(thm)],[])).
% 73.60/46.43 tff(21802,plain,
% 73.60/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, bitIndex1)),
% 73.60/46.43 inference(modus_ponens,[status(thm)],[21801, 21800])).
% 73.60/46.43 tff(21803,plain,
% 73.60/46.43 ((~v90(constB145, bitIndex1)) | v100(constB146) | v90(constB146, bitIndex1)),
% 73.60/46.43 inference(unit_resolution,[status(thm)],[21802, 872, 21459])).
% 73.60/46.43 tff(21804,plain,
% 73.60/46.43 (v100(constB146)),
% 73.60/46.43 inference(unit_resolution,[status(thm)],[21803, 21627, 21588])).
% 73.60/46.43 tff(21805,plain,
% 73.60/46.43 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))),
% 73.60/46.43 inference(rewrite,[status(thm)],[])).
% 73.60/46.43 tff(21806,plain,
% 73.60/46.43 (((~v90(constB146, bitIndex2)) | (~v100(constB146)) | v129(constB146, bitIndex2)) <=> ((~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))),
% 73.60/46.43 inference(rewrite,[status(thm)],[])).
% 73.60/46.43 tff(21807,plain,
% 73.60/46.43 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB146, bitIndex2)) | (~v100(constB146)) | v129(constB146, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146))))),
% 73.60/46.43 inference(monotonicity,[status(thm)],[21806])).
% 73.60/46.43 tff(21808,plain,
% 73.60/46.43 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB146, bitIndex2)) | (~v100(constB146)) | v129(constB146, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))),
% 73.60/46.43 inference(transitivity,[status(thm)],[21807, 21805])).
% 73.60/46.43 tff(21809,plain,
% 73.60/46.43 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB146, bitIndex2)) | (~v100(constB146)) | v129(constB146, bitIndex2))),
% 73.60/46.43 inference(quant_inst,[status(thm)],[])).
% 73.60/46.43 tff(21810,plain,
% 73.60/46.43 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146))),
% 73.60/46.43 inference(modus_ponens,[status(thm)],[21809, 21808])).
% 73.60/46.43 tff(21811,plain,
% 73.60/46.43 ((~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2)),
% 73.60/46.43 inference(unit_resolution,[status(thm)],[21810, 503, 21804])).
% 73.60/46.43 tff(21812,plain,
% 73.60/46.43 (~v90(constB146, bitIndex2)),
% 73.60/46.43 inference(unit_resolution,[status(thm)],[21811, 21796])).
% 73.60/46.43 tff(21813,plain,
% 73.60/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 73.60/46.43 inference(rewrite,[status(thm)],[])).
% 73.60/46.43 tff(21814,plain,
% 73.60/46.43 (((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2))) <=> (v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 73.60/46.43 inference(rewrite,[status(thm)],[])).
% 73.60/46.43 tff(21815,plain,
% 73.60/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2))))),
% 73.60/46.43 inference(monotonicity,[status(thm)],[21814])).
% 73.60/46.43 tff(21816,plain,
% 73.60/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 73.60/46.43 inference(transitivity,[status(thm)],[21815, 21813])).
% 73.60/46.43 tff(21817,plain,
% 73.60/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 73.60/46.43 inference(quant_inst,[status(thm)],[])).
% 73.60/46.43 tff(21818,plain,
% 73.60/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2))),
% 73.60/46.43 inference(modus_ponens,[status(thm)],[21817, 21816])).
% 73.60/46.43 tff(21819,plain,
% 73.60/46.43 (v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2))),
% 73.60/46.43 inference(unit_resolution,[status(thm)],[21818, 88, 21594])).
% 73.60/46.43 tff(21820,plain,
% 73.60/46.43 (v90(constB146, bitIndex2) | (~v90(constB147, bitIndex2))),
% 73.60/46.43 inference(unit_resolution,[status(thm)],[21819, 21606])).
% 73.60/46.43 tff(21821,plain,
% 73.60/46.43 (~v90(constB147, bitIndex2)),
% 73.60/46.43 inference(unit_resolution,[status(thm)],[21820, 21812])).
% 73.60/46.43 tff(21822,plain,
% 73.60/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))),
% 73.60/46.43 inference(rewrite,[status(thm)],[])).
% 73.60/46.43 tff(21823,plain,
% 73.60/46.43 (((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0)) <=> ((~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))),
% 73.60/46.43 inference(rewrite,[status(thm)],[])).
% 73.60/46.43 tff(21824,plain,
% 73.60/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0)))),
% 73.60/46.43 inference(monotonicity,[status(thm)],[21823])).
% 73.60/46.43 tff(21825,plain,
% 73.60/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))),
% 73.60/46.43 inference(transitivity,[status(thm)],[21824, 21822])).
% 73.60/46.43 tff(21826,plain,
% 73.60/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0))),
% 73.60/46.43 inference(quant_inst,[status(thm)],[])).
% 73.60/46.43 tff(21827,plain,
% 73.60/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0)),
% 73.60/46.43 inference(modus_ponens,[status(thm)],[21826, 21825])).
% 73.60/46.43 tff(21828,plain,
% 73.60/46.43 ((~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0)),
% 73.60/46.43 inference(unit_resolution,[status(thm)],[21827, 437, 21594])).
% 73.60/46.43 tff(21829,plain,
% 73.60/46.43 ((~v90(constB146, bitIndex0)) | v90(constB147, bitIndex0)),
% 73.60/46.43 inference(unit_resolution,[status(thm)],[21828, 21606])).
% 73.60/46.43 tff(21830,plain,
% 73.60/46.43 (v90(constB147, bitIndex0)),
% 73.60/46.43 inference(unit_resolution,[status(thm)],[21829, 21513])).
% 73.60/46.43 tff(21831,plain,
% 73.60/46.43 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))),
% 73.60/46.43 inference(rewrite,[status(thm)],[])).
% 73.60/46.43 tff(21832,plain,
% 73.60/46.43 (((~v90(constB147, bitIndex0)) | v120(constB147) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2)) <=> ((~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))),
% 73.60/46.43 inference(rewrite,[status(thm)],[])).
% 73.60/46.43 tff(21833,plain,
% 73.60/46.43 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB147, bitIndex0)) | v120(constB147) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147)))),
% 73.60/46.43 inference(monotonicity,[status(thm)],[21832])).
% 73.60/46.43 tff(21834,plain,
% 73.60/46.43 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB147, bitIndex0)) | v120(constB147) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))),
% 73.60/46.43 inference(transitivity,[status(thm)],[21833, 21831])).
% 73.60/46.43 tff(21835,plain,
% 73.60/46.43 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB147, bitIndex0)) | v120(constB147) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2))),
% 73.60/46.43 inference(quant_inst,[status(thm)],[])).
% 73.60/46.43 tff(21836,plain,
% 73.60/46.43 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147)),
% 73.60/46.43 inference(modus_ponens,[status(thm)],[21835, 21834])).
% 73.60/46.43 tff(21837,plain,
% 73.60/46.43 (v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147)),
% 73.60/46.43 inference(unit_resolution,[status(thm)],[21836, 631, 21830])).
% 73.60/46.43 tff(21838,plain,
% 73.60/46.43 (v120(constB147)),
% 73.60/46.43 inference(unit_resolution,[status(thm)],[21837, 21821, 21615])).
% 73.60/46.43 tff(21839,plain,
% 73.60/46.43 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB147)) | v130(constB147, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB147)) | v130(constB147, bitIndex1))),
% 73.60/46.43 inference(rewrite,[status(thm)],[])).
% 73.60/46.43 tff(21840,plain,
% 73.60/46.43 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB147)) | v130(constB147, bitIndex1))),
% 73.60/46.43 inference(quant_inst,[status(thm)],[])).
% 73.60/46.43 tff(21841,plain,
% 73.60/46.43 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB147)) | v130(constB147, bitIndex1)),
% 73.60/46.43 inference(modus_ponens,[status(thm)],[21840, 21839])).
% 73.60/46.43 tff(21842,plain,
% 73.60/46.43 (v130(constB147, bitIndex1)),
% 73.60/46.43 inference(unit_resolution,[status(thm)],[21841, 810, 21838])).
% 73.60/46.43 tff(21843,assumption,(v26(constB147)), introduced(assumption)).
% 73.60/46.43 tff(21844,plain,
% 73.60/46.43 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB147))),
% 73.60/46.43 inference(quant_inst,[status(thm)],[])).
% 73.60/46.43 tff(21845,plain,
% 73.60/46.43 ($false),
% 73.60/46.43 inference(unit_resolution,[status(thm)],[21844, 37, 21843])).
% 73.60/46.43 tff(21846,plain,(~v26(constB147)), inference(lemma,lemma(discharge,[]))).
% 73.60/46.43 tff(21847,plain,
% 73.60/46.43 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1))),
% 73.60/46.43 inference(rewrite,[status(thm)],[])).
% 73.60/46.43 tff(21848,plain,
% 73.60/46.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1))),
% 73.60/46.43 inference(quant_inst,[status(thm)],[])).
% 73.60/46.43 tff(21849,plain,
% 73.60/46.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1)),
% 73.60/46.43 inference(modus_ponens,[status(thm)],[21848, 21847])).
% 73.60/46.43 tff(21850,plain,
% 73.60/46.43 ((~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1)),
% 73.60/46.43 inference(unit_resolution,[status(thm)],[21849, 824, 21846])).
% 73.60/46.43 tff(21851,plain,
% 73.60/46.43 (v127(constB147, bitIndex1)),
% 73.60/46.43 inference(unit_resolution,[status(thm)],[21850, 21842])).
% 73.60/46.43 tff(21852,plain,
% 73.60/46.43 (nextState(constB147, constB148) <=> nextState(constB147, constB148)),
% 73.60/46.43 inference(rewrite,[status(thm)],[])).
% 73.60/46.43 tff(21853,axiom,(nextState(constB147, constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_147_1')).
% 73.60/46.43 tff(21854,plain,
% 73.60/46.43 (nextState(constB147, constB148)),
% 73.60/46.43 inference(modus_ponens,[status(thm)],[21853, 21852])).
% 73.60/46.43 tff(21855,plain,
% 73.60/46.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1))),
% 73.60/46.43 inference(rewrite,[status(thm)],[])).
% 73.60/46.43 tff(21856,plain,
% 73.60/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1))),
% 73.60/46.43 inference(quant_inst,[status(thm)],[])).
% 73.60/46.43 tff(21857,plain,
% 73.60/46.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1)),
% 73.60/46.43 inference(modus_ponens,[status(thm)],[21856, 21855])).
% 73.60/46.43 tff(21858,plain,
% 73.60/46.43 ((~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1)),
% 73.60/46.43 inference(unit_resolution,[status(thm)],[21857, 839, 21854])).
% 73.60/46.43 tff(21859,plain,
% 73.60/46.43 (v129(constB148, bitIndex1)),
% 73.60/46.43 inference(unit_resolution,[status(thm)],[21858, 21851])).
% 73.60/46.43 tff(21860,assumption,(v120(constB147)), introduced(assumption)).
% 73.60/46.43 tff(21861,plain,
% 73.60/46.43 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB147) | (~v120(constB147)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB147) | (~v120(constB147)))),
% 73.60/46.43 inference(rewrite,[status(thm)],[])).
% 73.60/46.43 tff(21862,plain,
% 73.60/46.43 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB147) | (~v120(constB147)))),
% 73.60/46.43 inference(quant_inst,[status(thm)],[])).
% 73.60/46.43 tff(21863,plain,
% 73.60/46.43 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB147) | (~v120(constB147))),
% 73.60/46.43 inference(modus_ponens,[status(thm)],[21862, 21861])).
% 73.60/46.43 tff(21864,plain,
% 73.60/46.43 (v118(constB147)),
% 73.60/46.43 inference(unit_resolution,[status(thm)],[21863, 646, 21860])).
% 73.60/46.43 tff(21865,plain,
% 73.60/46.43 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB147) | (~v118(constB147)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB147) | (~v118(constB147)))),
% 73.60/46.43 inference(rewrite,[status(thm)],[])).
% 73.60/46.43 tff(21866,plain,
% 73.60/46.43 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB147) | (~v118(constB147)))),
% 73.60/46.43 inference(quant_inst,[status(thm)],[])).
% 73.60/46.43 tff(21867,plain,
% 73.60/46.43 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB147) | (~v118(constB147))),
% 73.60/46.43 inference(modus_ponens,[status(thm)],[21866, 21865])).
% 73.60/46.43 tff(21868,plain,
% 73.60/46.43 (v117(constB147)),
% 73.60/46.43 inference(unit_resolution,[status(thm)],[21867, 243, 21864])).
% 73.60/46.43 tff(21869,plain,
% 73.60/46.43 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB147) | (~v117(constB147)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB147) | (~v117(constB147)))),
% 73.60/46.43 inference(rewrite,[status(thm)],[])).
% 73.60/46.43 tff(21870,plain,
% 73.60/46.43 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB147) | (~v117(constB147)))),
% 73.60/46.43 inference(quant_inst,[status(thm)],[])).
% 73.60/46.43 tff(21871,plain,
% 73.60/46.43 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB147) | (~v117(constB147))),
% 73.60/46.43 inference(modus_ponens,[status(thm)],[21870, 21869])).
% 73.60/46.43 tff(21872,plain,
% 73.60/46.43 (v116(constB147)),
% 73.60/46.43 inference(unit_resolution,[status(thm)],[21871, 254, 21868])).
% 73.60/46.43 tff(21873,plain,
% 73.60/46.43 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB147) | (~v116(constB147)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB147) | (~v116(constB147)))),
% 73.60/46.43 inference(rewrite,[status(thm)],[])).
% 73.60/46.43 tff(21874,plain,
% 73.60/46.43 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB147) | (~v116(constB147)))),
% 73.60/46.43 inference(quant_inst,[status(thm)],[])).
% 73.60/46.43 tff(21875,plain,
% 73.60/46.43 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB147) | (~v116(constB147))),
% 73.60/46.43 inference(modus_ponens,[status(thm)],[21874, 21873])).
% 73.60/46.43 tff(21876,plain,
% 73.60/46.43 (v115(constB147)),
% 73.60/46.43 inference(unit_resolution,[status(thm)],[21875, 265, 21872])).
% 73.60/46.43 tff(21877,plain,
% 73.60/46.43 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB147)) | (~v130(constB147, bitIndex0)))),
% 73.60/46.43 inference(rewrite,[status(thm)],[])).
% 73.60/46.43 tff(21878,plain,
% 73.60/46.43 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex0)))),
% 73.60/46.43 inference(quant_inst,[status(thm)],[])).
% 73.60/46.43 tff(21879,plain,
% 73.60/46.43 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB147)) | (~v130(constB147, bitIndex0))),
% 73.60/46.43 inference(modus_ponens,[status(thm)],[21878, 21877])).
% 73.60/46.43 tff(21880,plain,
% 73.60/46.43 (~v130(constB147, bitIndex0)),
% 73.60/46.43 inference(unit_resolution,[status(thm)],[21879, 891, 21860])).
% 73.60/46.43 tff(21881,assumption,(v127(constB147, bitIndex0)), introduced(assumption)).
% 73.60/46.43 tff(21882,assumption,(~v130(constB147, bitIndex0)), introduced(assumption)).
% 73.60/46.43 tff(21883,plain,
% 73.60/46.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))),
% 73.60/46.43 inference(rewrite,[status(thm)],[])).
% 73.60/46.43 tff(21884,plain,
% 73.60/46.43 ((v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0))) <=> ((~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))),
% 73.60/46.43 inference(rewrite,[status(thm)],[])).
% 73.60/46.43 tff(21885,plain,
% 73.60/46.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0)))),
% 73.60/46.43 inference(monotonicity,[status(thm)],[21884])).
% 73.60/46.43 tff(21886,plain,
% 73.60/46.43 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))),
% 73.60/46.43 inference(transitivity,[status(thm)],[21885, 21883])).
% 73.60/46.43 tff(21887,plain,
% 73.60/46.43 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0)))),
% 73.60/46.43 inference(quant_inst,[status(thm)],[])).
% 73.60/46.43 tff(21888,plain,
% 73.60/46.43 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0)),
% 73.60/46.43 inference(modus_ponens,[status(thm)],[21887, 21886])).
% 73.60/46.43 tff(21889,plain,
% 73.60/46.43 ((~v127(constB147, bitIndex0)) | v26(constB147)),
% 73.60/46.43 inference(unit_resolution,[status(thm)],[21888, 905, 21882])).
% 73.60/46.43 tff(21890,plain,
% 73.60/46.43 (v26(constB147)),
% 73.60/46.43 inference(unit_resolution,[status(thm)],[21889, 21881])).
% 73.60/46.43 tff(21891,plain,
% 73.60/46.43 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB147)) | (~v127(constB147, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB147)) | (~v127(constB147, bitIndex0)))),
% 73.60/46.43 inference(rewrite,[status(thm)],[])).
% 73.60/46.43 tff(21892,plain,
% 73.60/46.43 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB147)) | (~v127(constB147, bitIndex0)))),
% 73.60/46.43 inference(quant_inst,[status(thm)],[])).
% 73.60/46.43 tff(21893,plain,
% 73.60/46.43 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB147)) | (~v127(constB147, bitIndex0))),
% 73.60/46.43 inference(modus_ponens,[status(thm)],[21892, 21891])).
% 73.60/46.43 tff(21894,plain,
% 73.60/46.43 ($false),
% 73.60/46.43 inference(unit_resolution,[status(thm)],[21893, 3417, 21881, 21890])).
% 73.60/46.44 tff(21895,plain,((~v127(constB147, bitIndex0)) | v130(constB147, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.60/46.44 tff(21896,plain,
% 73.60/46.44 (~v127(constB147, bitIndex0)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21895, 21880])).
% 73.60/46.44 tff(21897,plain,
% 73.60/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0)))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(21898,plain,
% 73.60/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0)))),
% 73.60/46.44 inference(quant_inst,[status(thm)],[])).
% 73.60/46.44 tff(21899,plain,
% 73.60/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0))),
% 73.60/46.44 inference(modus_ponens,[status(thm)],[21898, 21897])).
% 73.60/46.44 tff(21900,plain,
% 73.60/46.44 (v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0))),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21899, 923, 21854])).
% 73.60/46.44 tff(21901,plain,
% 73.60/46.44 (~v129(constB148, bitIndex0)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21900, 21896])).
% 73.60/46.44 tff(21902,assumption,(v90(constB148, bitIndex0)), introduced(assumption)).
% 73.60/46.44 tff(21903,plain,
% 73.60/46.44 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(21904,plain,
% 73.60/46.44 (((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0)) <=> ((~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(21905,plain,
% 73.60/46.44 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148))))),
% 73.60/46.44 inference(monotonicity,[status(thm)],[21904])).
% 73.60/46.44 tff(21906,plain,
% 73.60/46.44 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))),
% 73.60/46.44 inference(transitivity,[status(thm)],[21905, 21903])).
% 73.60/46.44 tff(21907,plain,
% 73.60/46.44 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0))),
% 73.60/46.44 inference(quant_inst,[status(thm)],[])).
% 73.60/46.44 tff(21908,plain,
% 73.60/46.44 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148))),
% 73.60/46.44 inference(modus_ponens,[status(thm)],[21907, 21906])).
% 73.60/46.44 tff(21909,plain,
% 73.60/46.44 (v129(constB148, bitIndex0) | (~v100(constB148))),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21908, 938, 21902])).
% 73.60/46.44 tff(21910,plain,
% 73.60/46.44 (~v100(constB148)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21909, 21901])).
% 73.60/46.44 tff(21911,plain,
% 73.60/46.44 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(21912,plain,
% 73.60/46.44 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))),
% 73.60/46.44 inference(quant_inst,[status(thm)],[])).
% 73.60/46.44 tff(21913,plain,
% 73.60/46.44 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148))),
% 73.60/46.44 inference(modus_ponens,[status(thm)],[21912, 21911])).
% 73.60/46.44 tff(21914,plain,
% 73.60/46.44 (~v104(constB148)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21913, 335, 21854, 21591])).
% 73.60/46.44 tff(21915,plain,
% 73.60/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(21916,plain,
% 73.60/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))),
% 73.60/46.44 inference(quant_inst,[status(thm)],[])).
% 73.60/46.44 tff(21917,plain,
% 73.60/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v102(constB148) | v104(constB148)),
% 73.60/46.44 inference(modus_ponens,[status(thm)],[21916, 21915])).
% 73.60/46.44 tff(21918,plain,
% 73.60/46.44 (v102(constB148) | v104(constB148)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21917, 349, 21854])).
% 73.60/46.44 tff(21919,plain,
% 73.60/46.44 (v102(constB148)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21918, 21914])).
% 73.60/46.44 tff(21920,plain,
% 73.60/46.44 (v1(constB148) <=> v1(constB148)),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(21921,axiom,(v1(constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_148_1')).
% 73.60/46.44 tff(21922,plain,
% 73.60/46.44 (v1(constB148)),
% 73.60/46.44 inference(modus_ponens,[status(thm)],[21921, 21920])).
% 73.60/46.44 tff(21923,plain,
% 73.60/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(21924,plain,
% 73.60/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))),
% 73.60/46.44 inference(quant_inst,[status(thm)],[])).
% 73.60/46.44 tff(21925,plain,
% 73.60/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148))),
% 73.60/46.44 inference(modus_ponens,[status(thm)],[21924, 21923])).
% 73.60/46.44 tff(21926,plain,
% 73.60/46.44 (v101(constB148) | (~v102(constB148))),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21925, 367, 21854, 21922])).
% 73.60/46.44 tff(21927,plain,
% 73.60/46.44 (v101(constB148)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21926, 21919])).
% 73.60/46.44 tff(21928,plain,
% 73.60/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(21929,plain,
% 73.60/46.44 (((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148)) <=> ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(21930,plain,
% 73.60/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148))))),
% 73.60/46.44 inference(monotonicity,[status(thm)],[21929])).
% 73.60/46.44 tff(21931,plain,
% 73.60/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 73.60/46.44 inference(transitivity,[status(thm)],[21930, 21928])).
% 73.60/46.44 tff(21932,plain,
% 73.60/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))),
% 73.60/46.44 inference(quant_inst,[status(thm)],[])).
% 73.60/46.44 tff(21933,plain,
% 73.60/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148))),
% 73.60/46.44 inference(modus_ponens,[status(thm)],[21932, 21931])).
% 73.60/46.44 tff(21934,plain,
% 73.60/46.44 (v100(constB148) | (~v101(constB148)) | (~v110(constB148))),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21933, 382, 21854])).
% 73.60/46.44 tff(21935,plain,
% 73.60/46.44 (v100(constB148) | (~v110(constB148))),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21934, 21927])).
% 73.60/46.44 tff(21936,plain,
% 73.60/46.44 (~v110(constB148)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21935, 21910])).
% 73.60/46.44 tff(21937,plain,
% 73.60/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(21938,plain,
% 73.60/46.44 (((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148)) <=> ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(21939,plain,
% 73.60/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147))))),
% 73.60/46.44 inference(monotonicity,[status(thm)],[21938])).
% 73.60/46.44 tff(21940,plain,
% 73.60/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 73.60/46.44 inference(transitivity,[status(thm)],[21939, 21937])).
% 73.60/46.44 tff(21941,plain,
% 73.60/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))),
% 73.60/46.44 inference(quant_inst,[status(thm)],[])).
% 73.60/46.44 tff(21942,plain,
% 73.60/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147))),
% 73.60/46.44 inference(modus_ponens,[status(thm)],[21941, 21940])).
% 73.60/46.44 tff(21943,plain,
% 73.60/46.44 (v110(constB148) | (~v108(constB147))),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21942, 317, 21854])).
% 73.60/46.44 tff(21944,plain,
% 73.60/46.44 (~v108(constB147)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21943, 21936])).
% 73.60/46.44 tff(21945,plain,
% 73.60/46.44 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB147) | (~v112(constB147)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB147) | (~v112(constB147)))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(21946,plain,
% 73.60/46.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB147) | (~v112(constB147)))),
% 73.60/46.44 inference(quant_inst,[status(thm)],[])).
% 73.60/46.44 tff(21947,plain,
% 73.60/46.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB147) | (~v112(constB147))),
% 73.60/46.44 inference(modus_ponens,[status(thm)],[21946, 21945])).
% 73.60/46.44 tff(21948,plain,
% 73.60/46.44 (~v112(constB147)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21947, 210, 21944])).
% 73.60/46.44 tff(21949,plain,
% 73.60/46.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | v112(constB147) | (~v113(constB147)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB147) | v112(constB147) | (~v113(constB147)))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(21950,plain,
% 73.60/46.44 ((v26(constB147) | (~v113(constB147)) | v112(constB147)) <=> (v26(constB147) | v112(constB147) | (~v113(constB147)))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(21951,plain,
% 73.60/46.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | (~v113(constB147)) | v112(constB147))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | v112(constB147) | (~v113(constB147))))),
% 73.60/46.44 inference(monotonicity,[status(thm)],[21950])).
% 73.60/46.44 tff(21952,plain,
% 73.60/46.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | (~v113(constB147)) | v112(constB147))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB147) | v112(constB147) | (~v113(constB147)))),
% 73.60/46.44 inference(transitivity,[status(thm)],[21951, 21949])).
% 73.60/46.44 tff(21953,plain,
% 73.60/46.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | (~v113(constB147)) | v112(constB147))),
% 73.60/46.44 inference(quant_inst,[status(thm)],[])).
% 73.60/46.44 tff(21954,plain,
% 73.60/46.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB147) | v112(constB147) | (~v113(constB147))),
% 73.60/46.44 inference(modus_ponens,[status(thm)],[21953, 21952])).
% 73.60/46.44 tff(21955,plain,
% 73.60/46.44 (v112(constB147) | (~v113(constB147))),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21954, 301, 21846])).
% 73.60/46.44 tff(21956,plain,
% 73.60/46.44 (~v113(constB147)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21955, 21948])).
% 73.60/46.44 tff(21957,plain,
% 73.60/46.44 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB147) | (~v114(constB147)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB147) | (~v114(constB147)))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(21958,plain,
% 73.60/46.44 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB147) | (~v114(constB147)))),
% 73.60/46.44 inference(quant_inst,[status(thm)],[])).
% 73.60/46.44 tff(21959,plain,
% 73.60/46.44 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB147) | (~v114(constB147))),
% 73.60/46.44 inference(modus_ponens,[status(thm)],[21958, 21957])).
% 73.60/46.44 tff(21960,plain,
% 73.60/46.44 (~v114(constB147)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21959, 287, 21956])).
% 73.60/46.44 tff(21961,plain,
% 73.60/46.44 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB147) | (~v115(constB147)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB147) | (~v115(constB147)))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(21962,plain,
% 73.60/46.44 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB147) | (~v115(constB147)))),
% 73.60/46.44 inference(quant_inst,[status(thm)],[])).
% 73.60/46.44 tff(21963,plain,
% 73.60/46.44 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB147) | (~v115(constB147))),
% 73.60/46.44 inference(modus_ponens,[status(thm)],[21962, 21961])).
% 73.60/46.44 tff(21964,plain,
% 73.60/46.44 ($false),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21963, 276, 21960, 21876])).
% 73.60/46.44 tff(21965,plain,((~v120(constB147)) | (~v90(constB148, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 73.60/46.44 tff(21966,plain,
% 73.60/46.44 (~v90(constB148, bitIndex0)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21965, 21838])).
% 73.60/46.44 tff(21967,assumption,(~v100(constB148)), introduced(assumption)).
% 73.60/46.44 tff(21968,assumption,(~v90(constB148, bitIndex0)), introduced(assumption)).
% 73.60/46.44 tff(21969,plain,
% 73.60/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB147, bitIndex0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB147, bitIndex0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex0))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(21970,plain,
% 73.60/46.44 (((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex0)) | v100(constB148) | v90(constB148, bitIndex0)) <=> ((~v90(constB147, bitIndex0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex0))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(21971,plain,
% 73.60/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex0)) | v100(constB148) | v90(constB148, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB147, bitIndex0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex0)))),
% 73.60/46.44 inference(monotonicity,[status(thm)],[21970])).
% 73.60/46.44 tff(21972,plain,
% 73.60/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex0)) | v100(constB148) | v90(constB148, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB147, bitIndex0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex0))),
% 73.60/46.44 inference(transitivity,[status(thm)],[21971, 21969])).
% 73.60/46.44 tff(21973,plain,
% 73.60/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex0)) | v100(constB148) | v90(constB148, bitIndex0))),
% 73.60/46.44 inference(quant_inst,[status(thm)],[])).
% 73.60/46.44 tff(21974,plain,
% 73.60/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB147, bitIndex0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex0)),
% 73.60/46.44 inference(modus_ponens,[status(thm)],[21973, 21972])).
% 73.60/46.44 tff(21975,plain,
% 73.60/46.44 ((~v90(constB147, bitIndex0)) | v100(constB148) | v90(constB148, bitIndex0)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21974, 437, 21854])).
% 73.60/46.44 tff(21976,plain,
% 73.60/46.44 (~v90(constB147, bitIndex0)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21975, 21967, 21968])).
% 73.60/46.44 tff(21977,plain,
% 73.60/46.44 (~v110(constB148)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21935, 21967])).
% 73.60/46.44 tff(21978,plain,
% 73.60/46.44 (~v108(constB147)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21943, 21977])).
% 73.60/46.44 tff(21979,plain,
% 73.60/46.44 (~v112(constB147)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21947, 210, 21978])).
% 73.60/46.44 tff(21980,plain,
% 73.60/46.44 (~v113(constB147)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21955, 21979])).
% 73.60/46.44 tff(21981,plain,
% 73.60/46.44 (~v114(constB147)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21959, 287, 21980])).
% 73.60/46.44 tff(21982,plain,
% 73.60/46.44 (~v115(constB147)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21963, 276, 21981])).
% 73.60/46.44 tff(21983,plain,
% 73.60/46.44 (~v116(constB147)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21875, 265, 21982])).
% 73.60/46.44 tff(21984,assumption,(~v90(constB147, bitIndex0)), introduced(assumption)).
% 73.60/46.44 tff(21985,plain,
% 73.60/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB147, bitIndex0) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB147, bitIndex0) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex0)))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(21986,plain,
% 73.60/46.44 (((~nextState(constB147, constB148)) | v90(constB147, bitIndex0) | v100(constB148) | (~v90(constB148, bitIndex0))) <=> (v90(constB147, bitIndex0) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex0)))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(21987,plain,
% 73.60/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex0) | v100(constB148) | (~v90(constB148, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB147, bitIndex0) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex0))))),
% 73.60/46.44 inference(monotonicity,[status(thm)],[21986])).
% 73.60/46.44 tff(21988,plain,
% 73.60/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex0) | v100(constB148) | (~v90(constB148, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB147, bitIndex0) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex0)))),
% 73.60/46.44 inference(transitivity,[status(thm)],[21987, 21985])).
% 73.60/46.44 tff(21989,plain,
% 73.60/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex0) | v100(constB148) | (~v90(constB148, bitIndex0)))),
% 73.60/46.44 inference(quant_inst,[status(thm)],[])).
% 73.60/46.44 tff(21990,plain,
% 73.60/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB147, bitIndex0) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex0))),
% 73.60/46.44 inference(modus_ponens,[status(thm)],[21989, 21988])).
% 73.60/46.44 tff(21991,plain,
% 73.60/46.44 (v90(constB147, bitIndex0) | v100(constB148) | (~v90(constB148, bitIndex0))),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21990, 130, 21854])).
% 73.60/46.44 tff(21992,plain,
% 73.60/46.44 (~v90(constB148, bitIndex0)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21991, 21967, 21984])).
% 73.60/46.44 tff(21993,plain,
% 73.60/46.44 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB147)) | v130(constB147, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB147)) | v130(constB147, bitIndex0))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(21994,plain,
% 73.60/46.44 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB147)) | v130(constB147, bitIndex0))),
% 73.60/46.44 inference(quant_inst,[status(thm)],[])).
% 73.60/46.44 tff(21995,plain,
% 73.60/46.44 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB147)) | v130(constB147, bitIndex0)),
% 73.60/46.44 inference(modus_ponens,[status(thm)],[21994, 21993])).
% 73.60/46.44 tff(21996,plain,
% 73.60/46.44 (~v121(constB147)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21995, 1162, 21882])).
% 73.60/46.44 tff(21997,plain,
% 73.60/46.44 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB147, bitIndex0) | (~v120(constB147)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB147, bitIndex0) | (~v120(constB147)))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(21998,plain,
% 73.60/46.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB147, bitIndex0) | (~v120(constB147)))),
% 73.60/46.44 inference(quant_inst,[status(thm)],[])).
% 73.60/46.44 tff(21999,plain,
% 73.60/46.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB147, bitIndex0) | (~v120(constB147))),
% 73.60/46.44 inference(modus_ponens,[status(thm)],[21998, 21997])).
% 73.60/46.44 tff(22000,plain,
% 73.60/46.44 (~v120(constB147)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21999, 3723, 21984])).
% 73.60/46.44 tff(22001,plain,
% 73.60/46.44 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB147)) | v130(constB147, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB147)) | v130(constB147, bitIndex0))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(22002,plain,
% 73.60/46.44 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB147)) | v130(constB147, bitIndex0))),
% 73.60/46.44 inference(quant_inst,[status(thm)],[])).
% 73.60/46.44 tff(22003,plain,
% 73.60/46.44 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB147)) | v130(constB147, bitIndex0)),
% 73.60/46.44 inference(modus_ponens,[status(thm)],[22002, 22001])).
% 73.60/46.44 tff(22004,plain,
% 73.60/46.44 (~v119(constB147)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[22003, 165, 21882])).
% 73.60/46.44 tff(22005,plain,
% 73.60/46.44 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB147)) | v130(constB147, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB147)) | v130(constB147, bitIndex0))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(22006,plain,
% 73.60/46.44 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB147)) | v130(constB147, bitIndex0))),
% 73.60/46.44 inference(quant_inst,[status(thm)],[])).
% 73.60/46.44 tff(22007,plain,
% 73.60/46.44 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB147)) | v130(constB147, bitIndex0)),
% 73.60/46.44 inference(modus_ponens,[status(thm)],[22006, 22005])).
% 73.60/46.44 tff(22008,plain,
% 73.60/46.44 (~v123(constB147)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[22007, 1666, 21882])).
% 73.60/46.44 tff(22009,plain,
% 73.60/46.44 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB147, bitIndex0) | (~v124(constB147)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB147, bitIndex0) | (~v124(constB147)))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(22010,plain,
% 73.60/46.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB147, bitIndex0) | (~v124(constB147)))),
% 73.60/46.44 inference(quant_inst,[status(thm)],[])).
% 73.60/46.44 tff(22011,plain,
% 73.60/46.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB147, bitIndex0) | (~v124(constB147))),
% 73.60/46.44 inference(modus_ponens,[status(thm)],[22010, 22009])).
% 73.60/46.44 tff(22012,plain,
% 73.60/46.44 (~v124(constB147)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[22011, 3745, 21984])).
% 73.60/46.44 tff(22013,plain,
% 73.60/46.44 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB147, bitIndex0) | (~v122(constB147)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB147, bitIndex0) | (~v122(constB147)))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(22014,plain,
% 73.60/46.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB147, bitIndex0) | (~v122(constB147)))),
% 73.60/46.44 inference(quant_inst,[status(thm)],[])).
% 73.60/46.44 tff(22015,plain,
% 73.60/46.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB147, bitIndex0) | (~v122(constB147))),
% 73.60/46.44 inference(modus_ponens,[status(thm)],[22014, 22013])).
% 73.60/46.44 tff(22016,plain,
% 73.60/46.44 (~v122(constB147)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[22015, 3734, 21984])).
% 73.60/46.44 tff(22017,plain,
% 73.60/46.44 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB147) | v124(constB147) | v123(constB147) | v122(constB147) | v120(constB147) | v121(constB147) | v130(constB147, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB147) | v124(constB147) | v123(constB147) | v122(constB147) | v120(constB147) | v121(constB147) | v130(constB147, bitIndex0))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(22018,plain,
% 73.60/46.44 ((v120(constB147) | v119(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | v130(constB147, bitIndex0)) <=> (v119(constB147) | v124(constB147) | v123(constB147) | v122(constB147) | v120(constB147) | v121(constB147) | v130(constB147, bitIndex0))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(22019,plain,
% 73.60/46.44 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB147) | v119(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | v130(constB147, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB147) | v124(constB147) | v123(constB147) | v122(constB147) | v120(constB147) | v121(constB147) | v130(constB147, bitIndex0)))),
% 73.60/46.44 inference(monotonicity,[status(thm)],[22018])).
% 73.60/46.44 tff(22020,plain,
% 73.60/46.44 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB147) | v119(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | v130(constB147, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB147) | v124(constB147) | v123(constB147) | v122(constB147) | v120(constB147) | v121(constB147) | v130(constB147, bitIndex0))),
% 73.60/46.44 inference(transitivity,[status(thm)],[22019, 22017])).
% 73.60/46.44 tff(22021,plain,
% 73.60/46.44 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB147) | v119(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | v130(constB147, bitIndex0))),
% 73.60/46.44 inference(quant_inst,[status(thm)],[])).
% 73.60/46.44 tff(22022,plain,
% 73.60/46.44 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB147) | v124(constB147) | v123(constB147) | v122(constB147) | v120(constB147) | v121(constB147) | v130(constB147, bitIndex0)),
% 73.60/46.44 inference(modus_ponens,[status(thm)],[22021, 22020])).
% 73.60/46.44 tff(22023,plain,
% 73.60/46.44 (v119(constB147) | v124(constB147) | v123(constB147) | v122(constB147) | v120(constB147) | v121(constB147)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[22022, 2192, 21882])).
% 73.60/46.44 tff(22024,plain,
% 73.60/46.44 ($false),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[22023, 22016, 22012, 22008, 22004, 22000, 21996])).
% 73.60/46.44 tff(22025,plain,(v90(constB147, bitIndex0) | v130(constB147, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.60/46.44 tff(22026,plain,
% 73.60/46.44 (v130(constB147, bitIndex0)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[22025, 21984])).
% 73.60/46.44 tff(22027,plain,
% 73.60/46.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB147) | (~v130(constB147, bitIndex0)) | v127(constB147, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB147) | (~v130(constB147, bitIndex0)) | v127(constB147, bitIndex0))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(22028,plain,
% 73.60/46.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB147) | (~v130(constB147, bitIndex0)) | v127(constB147, bitIndex0))),
% 73.60/46.44 inference(quant_inst,[status(thm)],[])).
% 73.60/46.44 tff(22029,plain,
% 73.60/46.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB147) | (~v130(constB147, bitIndex0)) | v127(constB147, bitIndex0)),
% 73.60/46.44 inference(modus_ponens,[status(thm)],[22028, 22027])).
% 73.60/46.44 tff(22030,plain,
% 73.60/46.44 ((~v130(constB147, bitIndex0)) | v127(constB147, bitIndex0)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[22029, 179, 21846])).
% 73.60/46.44 tff(22031,plain,
% 73.60/46.44 (v127(constB147, bitIndex0)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[22030, 22026])).
% 73.60/46.44 tff(22032,plain,
% 73.60/46.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB147, constB148)) | (~v127(constB147, bitIndex0)) | v129(constB148, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB147, constB148)) | (~v127(constB147, bitIndex0)) | v129(constB148, bitIndex0))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(22033,plain,
% 73.60/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB147, constB148)) | (~v127(constB147, bitIndex0)) | v129(constB148, bitIndex0))),
% 73.60/46.44 inference(quant_inst,[status(thm)],[])).
% 73.60/46.44 tff(22034,plain,
% 73.60/46.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB147, constB148)) | (~v127(constB147, bitIndex0)) | v129(constB148, bitIndex0)),
% 73.60/46.44 inference(modus_ponens,[status(thm)],[22033, 22032])).
% 73.60/46.44 tff(22035,plain,
% 73.60/46.44 ((~v127(constB147, bitIndex0)) | v129(constB148, bitIndex0)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[22034, 197, 21854])).
% 73.60/46.44 tff(22036,plain,
% 73.60/46.44 (v129(constB148, bitIndex0)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[22035, 22031])).
% 73.60/46.44 tff(22037,plain,
% 73.60/46.44 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB148, bitIndex0) | (~v129(constB148, bitIndex0)) | (~v100(constB148)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~v129(constB148, bitIndex0)) | (~v100(constB148)))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(22038,plain,
% 73.60/46.44 ((v90(constB148, bitIndex0) | (~v100(constB148)) | (~v129(constB148, bitIndex0))) <=> (v90(constB148, bitIndex0) | (~v129(constB148, bitIndex0)) | (~v100(constB148)))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(22039,plain,
% 73.60/46.44 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB148, bitIndex0) | (~v100(constB148)) | (~v129(constB148, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB148, bitIndex0) | (~v129(constB148, bitIndex0)) | (~v100(constB148))))),
% 73.60/46.44 inference(monotonicity,[status(thm)],[22038])).
% 73.60/46.44 tff(22040,plain,
% 73.60/46.44 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB148, bitIndex0) | (~v100(constB148)) | (~v129(constB148, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~v129(constB148, bitIndex0)) | (~v100(constB148)))),
% 73.60/46.44 inference(transitivity,[status(thm)],[22039, 22037])).
% 73.60/46.44 tff(22041,plain,
% 73.60/46.44 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB148, bitIndex0) | (~v100(constB148)) | (~v129(constB148, bitIndex0)))),
% 73.60/46.44 inference(quant_inst,[status(thm)],[])).
% 73.60/46.44 tff(22042,plain,
% 73.60/46.44 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~v129(constB148, bitIndex0)) | (~v100(constB148))),
% 73.60/46.44 inference(modus_ponens,[status(thm)],[22041, 22040])).
% 73.60/46.44 tff(22043,plain,
% 73.60/46.44 ((~v129(constB148, bitIndex0)) | (~v100(constB148))),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[22042, 401, 21968])).
% 73.60/46.44 tff(22044,plain,
% 73.60/46.44 (~v100(constB148)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[22043, 22036])).
% 73.60/46.44 tff(22045,plain,
% 73.60/46.44 (~v110(constB148)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21935, 22044])).
% 73.60/46.44 tff(22046,plain,
% 73.60/46.44 (~v108(constB147)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21943, 22045])).
% 73.60/46.44 tff(22047,plain,
% 73.60/46.44 (~v112(constB147)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21947, 210, 22046])).
% 73.60/46.44 tff(22048,plain,
% 73.60/46.44 (~v113(constB147)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21955, 22047])).
% 73.60/46.44 tff(22049,plain,
% 73.60/46.44 (~v114(constB147)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21959, 287, 22048])).
% 73.60/46.44 tff(22050,assumption,(~v90(constB148, bitIndex1)), introduced(assumption)).
% 73.60/46.44 tff(22051,assumption,(~v90(constB148, bitIndex2)), introduced(assumption)).
% 73.60/46.44 tff(22052,plain,
% 73.60/46.44 (v90(constB147, bitIndex0)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[22025, 21882])).
% 73.60/46.44 tff(22053,plain,
% 73.60/46.44 (v100(constB148)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21975, 22052, 21968])).
% 73.60/46.44 tff(22054,plain,
% 73.60/46.44 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(22055,plain,
% 73.60/46.44 ((v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1))) <=> (v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))),
% 73.60/46.44 inference(rewrite,[status(thm)],[])).
% 73.60/46.44 tff(22056,plain,
% 73.60/46.44 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148))))),
% 73.60/46.44 inference(monotonicity,[status(thm)],[22055])).
% 73.60/46.44 tff(22057,plain,
% 73.60/46.44 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))),
% 73.60/46.44 inference(transitivity,[status(thm)],[22056, 22054])).
% 73.60/46.44 tff(22058,plain,
% 73.60/46.44 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1)))),
% 73.60/46.44 inference(quant_inst,[status(thm)],[])).
% 73.60/46.44 tff(22059,plain,
% 73.60/46.44 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148))),
% 73.60/46.44 inference(modus_ponens,[status(thm)],[22058, 22057])).
% 73.60/46.44 tff(22060,plain,
% 73.60/46.44 ((~v129(constB148, bitIndex1)) | (~v100(constB148))),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[22059, 854, 22050])).
% 73.60/46.44 tff(22061,plain,
% 73.60/46.44 (~v129(constB148, bitIndex1)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[22060, 22053])).
% 73.60/46.44 tff(22062,plain,
% 73.60/46.44 (~v127(constB147, bitIndex1)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21858, 22061])).
% 73.60/46.44 tff(22063,plain,
% 73.60/46.44 (~v130(constB147, bitIndex1)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21850, 22062])).
% 73.60/46.44 tff(22064,plain,
% 73.60/46.44 (~v120(constB147)),
% 73.60/46.44 inference(unit_resolution,[status(thm)],[21841, 810, 22063])).
% 73.60/46.44 tff(22065,plain,
% 73.60/46.44 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB147)) | v130(constB147, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB147)) | v130(constB147, bitIndex1))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22066,plain,
% 73.60/46.45 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB147)) | v130(constB147, bitIndex1))),
% 73.60/46.45 inference(quant_inst,[status(thm)],[])).
% 73.60/46.45 tff(22067,plain,
% 73.60/46.45 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB147)) | v130(constB147, bitIndex1)),
% 73.60/46.45 inference(modus_ponens,[status(thm)],[22066, 22065])).
% 73.60/46.45 tff(22068,plain,
% 73.60/46.45 (~v124(constB147)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22067, 1867, 22063])).
% 73.60/46.45 tff(22069,plain,
% 73.60/46.45 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB148, bitIndex2) | (~v129(constB148, bitIndex2)) | (~v100(constB148)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~v129(constB148, bitIndex2)) | (~v100(constB148)))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22070,plain,
% 73.60/46.45 ((v90(constB148, bitIndex2) | (~v100(constB148)) | (~v129(constB148, bitIndex2))) <=> (v90(constB148, bitIndex2) | (~v129(constB148, bitIndex2)) | (~v100(constB148)))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22071,plain,
% 73.60/46.45 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB148, bitIndex2) | (~v100(constB148)) | (~v129(constB148, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB148, bitIndex2) | (~v129(constB148, bitIndex2)) | (~v100(constB148))))),
% 73.60/46.45 inference(monotonicity,[status(thm)],[22070])).
% 73.60/46.45 tff(22072,plain,
% 73.60/46.45 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB148, bitIndex2) | (~v100(constB148)) | (~v129(constB148, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~v129(constB148, bitIndex2)) | (~v100(constB148)))),
% 73.60/46.45 inference(transitivity,[status(thm)],[22071, 22069])).
% 73.60/46.45 tff(22073,plain,
% 73.60/46.45 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB148, bitIndex2) | (~v100(constB148)) | (~v129(constB148, bitIndex2)))),
% 73.60/46.45 inference(quant_inst,[status(thm)],[])).
% 73.60/46.45 tff(22074,plain,
% 73.60/46.45 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~v129(constB148, bitIndex2)) | (~v100(constB148))),
% 73.60/46.45 inference(modus_ponens,[status(thm)],[22073, 22072])).
% 73.60/46.45 tff(22075,plain,
% 73.60/46.45 ((~v129(constB148, bitIndex2)) | (~v100(constB148))),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22074, 1334, 22051])).
% 73.60/46.45 tff(22076,plain,
% 73.60/46.45 (~v129(constB148, bitIndex2)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22075, 22053])).
% 73.60/46.45 tff(22077,plain,
% 73.60/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB147, constB148)) | (~v127(constB147, bitIndex2)) | v129(constB148, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB147, constB148)) | (~v127(constB147, bitIndex2)) | v129(constB148, bitIndex2))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22078,plain,
% 73.60/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB147, constB148)) | (~v127(constB147, bitIndex2)) | v129(constB148, bitIndex2))),
% 73.60/46.45 inference(quant_inst,[status(thm)],[])).
% 73.60/46.45 tff(22079,plain,
% 73.60/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB147, constB148)) | (~v127(constB147, bitIndex2)) | v129(constB148, bitIndex2)),
% 73.60/46.45 inference(modus_ponens,[status(thm)],[22078, 22077])).
% 73.60/46.45 tff(22080,plain,
% 73.60/46.45 ((~v127(constB147, bitIndex2)) | v129(constB148, bitIndex2)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22079, 1319, 21854])).
% 73.60/46.45 tff(22081,plain,
% 73.60/46.45 (~v127(constB147, bitIndex2)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22080, 22076])).
% 73.60/46.45 tff(22082,plain,
% 73.60/46.45 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB147) | (~v130(constB147, bitIndex2)) | v127(constB147, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB147) | (~v130(constB147, bitIndex2)) | v127(constB147, bitIndex2))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22083,plain,
% 73.60/46.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB147) | (~v130(constB147, bitIndex2)) | v127(constB147, bitIndex2))),
% 73.60/46.45 inference(quant_inst,[status(thm)],[])).
% 73.60/46.45 tff(22084,plain,
% 73.60/46.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB147) | (~v130(constB147, bitIndex2)) | v127(constB147, bitIndex2)),
% 73.60/46.45 inference(modus_ponens,[status(thm)],[22083, 22082])).
% 73.60/46.45 tff(22085,plain,
% 73.60/46.45 ((~v130(constB147, bitIndex2)) | v127(constB147, bitIndex2)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22084, 1304, 21846])).
% 73.60/46.45 tff(22086,plain,
% 73.60/46.45 (~v130(constB147, bitIndex2)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22085, 22081])).
% 73.60/46.45 tff(22087,plain,
% 73.60/46.45 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB147)) | v130(constB147, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB147)) | v130(constB147, bitIndex2))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22088,plain,
% 73.60/46.45 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB147)) | v130(constB147, bitIndex2))),
% 73.60/46.45 inference(quant_inst,[status(thm)],[])).
% 73.60/46.45 tff(22089,plain,
% 73.60/46.45 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB147)) | v130(constB147, bitIndex2)),
% 73.60/46.45 inference(modus_ponens,[status(thm)],[22088, 22087])).
% 73.60/46.45 tff(22090,plain,
% 73.60/46.45 (~v122(constB147)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22089, 1290, 22086])).
% 73.60/46.45 tff(22091,plain,
% 73.60/46.45 ($false),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22023, 22090, 22068, 22008, 22004, 22064, 21996])).
% 73.60/46.45 tff(22092,plain,(v130(constB147, bitIndex0) | v90(constB148, bitIndex2) | v90(constB148, bitIndex1) | v90(constB148, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.60/46.45 tff(22093,plain,
% 73.60/46.45 (v130(constB147, bitIndex0)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22092, 22051, 22050, 21968])).
% 73.60/46.45 tff(22094,plain,
% 73.60/46.45 (v127(constB147, bitIndex0)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22030, 22093])).
% 73.60/46.45 tff(22095,plain,
% 73.60/46.45 (v129(constB148, bitIndex0)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22035, 22094])).
% 73.60/46.45 tff(22096,plain,
% 73.60/46.45 (~v100(constB148)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22043, 22095])).
% 73.60/46.45 tff(22097,plain,
% 73.60/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB147, bitIndex2)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB147, bitIndex2)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex2))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22098,plain,
% 73.60/46.45 (((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex2)) | v100(constB148) | v90(constB148, bitIndex2)) <=> ((~v90(constB147, bitIndex2)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex2))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22099,plain,
% 73.60/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex2)) | v100(constB148) | v90(constB148, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB147, bitIndex2)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex2)))),
% 73.60/46.45 inference(monotonicity,[status(thm)],[22098])).
% 73.60/46.45 tff(22100,plain,
% 73.60/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex2)) | v100(constB148) | v90(constB148, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB147, bitIndex2)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex2))),
% 73.60/46.45 inference(transitivity,[status(thm)],[22099, 22097])).
% 73.60/46.45 tff(22101,plain,
% 73.60/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex2)) | v100(constB148) | v90(constB148, bitIndex2))),
% 73.60/46.45 inference(quant_inst,[status(thm)],[])).
% 73.60/46.45 tff(22102,plain,
% 73.60/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB147, bitIndex2)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex2)),
% 73.60/46.45 inference(modus_ponens,[status(thm)],[22101, 22100])).
% 73.60/46.45 tff(22103,plain,
% 73.60/46.45 ((~v90(constB147, bitIndex2)) | v100(constB148) | v90(constB148, bitIndex2)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22102, 1370, 21854])).
% 73.60/46.45 tff(22104,plain,
% 73.60/46.45 (~v90(constB147, bitIndex2)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22103, 22096, 22051])).
% 73.60/46.45 tff(22105,plain,
% 73.60/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB147, bitIndex1)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB147, bitIndex1)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex1))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22106,plain,
% 73.60/46.45 (((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex1)) | v100(constB148) | v90(constB148, bitIndex1)) <=> ((~v90(constB147, bitIndex1)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex1))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22107,plain,
% 73.60/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex1)) | v100(constB148) | v90(constB148, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB147, bitIndex1)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex1)))),
% 73.60/46.45 inference(monotonicity,[status(thm)],[22106])).
% 73.60/46.45 tff(22108,plain,
% 73.60/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex1)) | v100(constB148) | v90(constB148, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB147, bitIndex1)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex1))),
% 73.60/46.45 inference(transitivity,[status(thm)],[22107, 22105])).
% 73.60/46.45 tff(22109,plain,
% 73.60/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v90(constB147, bitIndex1)) | v100(constB148) | v90(constB148, bitIndex1))),
% 73.60/46.45 inference(quant_inst,[status(thm)],[])).
% 73.60/46.45 tff(22110,plain,
% 73.60/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB147, bitIndex1)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, bitIndex1)),
% 73.60/46.45 inference(modus_ponens,[status(thm)],[22109, 22108])).
% 73.60/46.45 tff(22111,plain,
% 73.60/46.45 ((~v90(constB147, bitIndex1)) | v100(constB148) | v90(constB148, bitIndex1)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22110, 872, 21854])).
% 73.60/46.45 tff(22112,plain,
% 73.60/46.45 (~v90(constB147, bitIndex1)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22111, 22096, 22050])).
% 73.60/46.45 tff(22113,plain,
% 73.60/46.45 (~v90(constB147, bitIndex0)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[21975, 22096, 21968])).
% 73.60/46.45 tff(22114,plain,
% 73.60/46.45 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB147) | v90(constB147, bitIndex0) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB147) | v90(constB147, bitIndex0) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22115,plain,
% 73.60/46.45 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB147) | v90(constB147, bitIndex0) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2))),
% 73.60/46.45 inference(quant_inst,[status(thm)],[])).
% 73.60/46.45 tff(22116,plain,
% 73.60/46.45 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB147) | v90(constB147, bitIndex0) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2)),
% 73.60/46.45 inference(modus_ponens,[status(thm)],[22115, 22114])).
% 73.60/46.45 tff(22117,plain,
% 73.60/46.45 (v119(constB147)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22116, 151, 22113, 22112, 22104])).
% 73.60/46.45 tff(22118,plain,
% 73.60/46.45 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB147) | (~v119(constB147)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB147) | (~v119(constB147)))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22119,plain,
% 73.60/46.45 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB147) | (~v119(constB147)))),
% 73.60/46.45 inference(quant_inst,[status(thm)],[])).
% 73.60/46.45 tff(22120,plain,
% 73.60/46.45 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB147) | (~v119(constB147))),
% 73.60/46.45 inference(modus_ponens,[status(thm)],[22119, 22118])).
% 73.60/46.45 tff(22121,plain,
% 73.60/46.45 (v118(constB147)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22120, 232, 22117])).
% 73.60/46.45 tff(22122,plain,
% 73.60/46.45 (v117(constB147)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[21867, 243, 22121])).
% 73.60/46.45 tff(22123,plain,
% 73.60/46.45 (v116(constB147)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[21871, 254, 22122])).
% 73.60/46.45 tff(22124,plain,
% 73.60/46.45 (~v110(constB148)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[21935, 22096])).
% 73.60/46.45 tff(22125,plain,
% 73.60/46.45 (~v108(constB147)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[21943, 22124])).
% 73.60/46.45 tff(22126,plain,
% 73.60/46.45 (~v112(constB147)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[21947, 210, 22125])).
% 73.60/46.45 tff(22127,plain,
% 73.60/46.45 (~v113(constB147)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[21955, 22126])).
% 73.60/46.45 tff(22128,plain,
% 73.60/46.45 (~v114(constB147)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[21959, 287, 22127])).
% 73.60/46.45 tff(22129,plain,
% 73.60/46.45 (~v115(constB147)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[21963, 276, 22128])).
% 73.60/46.45 tff(22130,plain,
% 73.60/46.45 ($false),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[21875, 265, 22129, 22123])).
% 73.60/46.45 tff(22131,plain,(v90(constB148, bitIndex2) | v90(constB148, bitIndex1) | v90(constB148, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.60/46.45 tff(22132,plain,
% 73.60/46.45 (v90(constB148, bitIndex2)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22131, 22050, 21968])).
% 73.60/46.45 tff(22133,plain,
% 73.60/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex2)))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22134,plain,
% 73.60/46.45 (((~nextState(constB147, constB148)) | v90(constB147, bitIndex2) | v100(constB148) | (~v90(constB148, bitIndex2))) <=> (v90(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex2)))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22135,plain,
% 73.60/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex2) | v100(constB148) | (~v90(constB148, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex2))))),
% 73.60/46.45 inference(monotonicity,[status(thm)],[22134])).
% 73.60/46.45 tff(22136,plain,
% 73.60/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex2) | v100(constB148) | (~v90(constB148, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex2)))),
% 73.60/46.45 inference(transitivity,[status(thm)],[22135, 22133])).
% 73.60/46.45 tff(22137,plain,
% 73.60/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex2) | v100(constB148) | (~v90(constB148, bitIndex2)))),
% 73.60/46.45 inference(quant_inst,[status(thm)],[])).
% 73.60/46.45 tff(22138,plain,
% 73.60/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex2))),
% 73.60/46.45 inference(modus_ponens,[status(thm)],[22137, 22136])).
% 73.60/46.45 tff(22139,plain,
% 73.60/46.45 (v90(constB147, bitIndex2) | v100(constB148) | (~v90(constB148, bitIndex2))),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22138, 88, 21854])).
% 73.60/46.45 tff(22140,plain,
% 73.60/46.45 (v90(constB147, bitIndex2)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22139, 22044, 22132])).
% 73.60/46.45 tff(22141,plain,
% 73.60/46.45 (~v90(constB147, bitIndex1)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22111, 22044, 22050])).
% 73.60/46.45 tff(22142,plain,
% 73.60/46.45 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB147, bitIndex0) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex2)) | v123(constB147))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB147, bitIndex0) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex2)) | v123(constB147))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22143,plain,
% 73.60/46.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB147, bitIndex0) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex2)) | v123(constB147))),
% 73.60/46.45 inference(quant_inst,[status(thm)],[])).
% 73.60/46.45 tff(22144,plain,
% 73.60/46.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB147, bitIndex0) | v90(constB147, bitIndex1) | (~v90(constB147, bitIndex2)) | v123(constB147)),
% 73.60/46.45 inference(modus_ponens,[status(thm)],[22143, 22142])).
% 73.60/46.45 tff(22145,plain,
% 73.60/46.45 (v123(constB147)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22144, 1477, 21984, 22141, 22140])).
% 73.60/46.45 tff(22146,plain,
% 73.60/46.45 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB147) | (~v123(constB147)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB147) | (~v123(constB147)))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22147,plain,
% 73.60/46.45 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB147) | (~v123(constB147)))),
% 73.60/46.45 inference(quant_inst,[status(thm)],[])).
% 73.60/46.45 tff(22148,plain,
% 73.60/46.45 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB147) | (~v123(constB147))),
% 73.60/46.45 inference(modus_ponens,[status(thm)],[22147, 22146])).
% 73.60/46.45 tff(22149,plain,
% 73.60/46.45 (v115(constB147)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22148, 1488, 22145])).
% 73.60/46.45 tff(22150,plain,
% 73.60/46.45 ($false),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[21963, 276, 22149, 22049])).
% 73.60/46.45 tff(22151,plain,(v90(constB147, bitIndex0) | v90(constB148, bitIndex1) | v90(constB148, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.60/46.45 tff(22152,plain,
% 73.60/46.45 (v90(constB148, bitIndex1)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22151, 21992, 21984])).
% 73.60/46.45 tff(22153,plain,
% 73.60/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB147, bitIndex1) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB147, bitIndex1) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex1)))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22154,plain,
% 73.60/46.45 (((~nextState(constB147, constB148)) | v90(constB147, bitIndex1) | v100(constB148) | (~v90(constB148, bitIndex1))) <=> (v90(constB147, bitIndex1) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex1)))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22155,plain,
% 73.60/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex1) | v100(constB148) | (~v90(constB148, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB147, bitIndex1) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex1))))),
% 73.60/46.45 inference(monotonicity,[status(thm)],[22154])).
% 73.60/46.45 tff(22156,plain,
% 73.60/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex1) | v100(constB148) | (~v90(constB148, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB147, bitIndex1) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex1)))),
% 73.60/46.45 inference(transitivity,[status(thm)],[22155, 22153])).
% 73.60/46.45 tff(22157,plain,
% 73.60/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB147, constB148)) | v90(constB147, bitIndex1) | v100(constB148) | (~v90(constB148, bitIndex1)))),
% 73.60/46.45 inference(quant_inst,[status(thm)],[])).
% 73.60/46.45 tff(22158,plain,
% 73.60/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB147, bitIndex1) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, bitIndex1))),
% 73.60/46.45 inference(modus_ponens,[status(thm)],[22157, 22156])).
% 73.60/46.45 tff(22159,plain,
% 73.60/46.45 (v90(constB147, bitIndex1) | v100(constB148) | (~v90(constB148, bitIndex1))),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22158, 109, 21854])).
% 73.60/46.45 tff(22160,plain,
% 73.60/46.45 (v90(constB147, bitIndex1)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22159, 22152, 21967])).
% 73.60/46.45 tff(22161,plain,
% 73.60/46.45 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB147) | (~v125(constB147)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB147) | (~v125(constB147)))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22162,plain,
% 73.60/46.45 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB147) | (~v125(constB147)))),
% 73.60/46.45 inference(quant_inst,[status(thm)],[])).
% 73.60/46.45 tff(22163,plain,
% 73.60/46.45 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB147) | (~v125(constB147))),
% 73.60/46.45 inference(modus_ponens,[status(thm)],[22162, 22161])).
% 73.60/46.45 tff(22164,plain,
% 73.60/46.45 (~v125(constB147)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22163, 2047, 21980])).
% 73.60/46.45 tff(22165,plain,
% 73.60/46.45 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB147, bitIndex0) | (~v90(constB147, bitIndex1)) | (~v90(constB147, bitIndex2)) | v125(constB147))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB147, bitIndex0) | (~v90(constB147, bitIndex1)) | (~v90(constB147, bitIndex2)) | v125(constB147))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22166,plain,
% 73.60/46.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB147, bitIndex0) | (~v90(constB147, bitIndex1)) | (~v90(constB147, bitIndex2)) | v125(constB147))),
% 73.60/46.45 inference(quant_inst,[status(thm)],[])).
% 73.60/46.45 tff(22167,plain,
% 73.60/46.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB147, bitIndex0) | (~v90(constB147, bitIndex1)) | (~v90(constB147, bitIndex2)) | v125(constB147)),
% 73.60/46.45 inference(modus_ponens,[status(thm)],[22166, 22165])).
% 73.60/46.45 tff(22168,plain,
% 73.60/46.45 ((~v90(constB147, bitIndex1)) | (~v90(constB147, bitIndex2)) | v125(constB147)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22167, 2036, 21984])).
% 73.60/46.45 tff(22169,plain,
% 73.60/46.45 (~v90(constB147, bitIndex2)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22168, 22164, 22160])).
% 73.60/46.45 tff(22170,plain,
% 73.60/46.45 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB147, bitIndex0) | (~v90(constB147, bitIndex1)) | v90(constB147, bitIndex2) | v121(constB147))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB147, bitIndex0) | (~v90(constB147, bitIndex1)) | v90(constB147, bitIndex2) | v121(constB147))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22171,plain,
% 73.60/46.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB147, bitIndex0) | (~v90(constB147, bitIndex1)) | v90(constB147, bitIndex2) | v121(constB147))),
% 73.60/46.45 inference(quant_inst,[status(thm)],[])).
% 73.60/46.45 tff(22172,plain,
% 73.60/46.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB147, bitIndex0) | (~v90(constB147, bitIndex1)) | v90(constB147, bitIndex2) | v121(constB147)),
% 73.60/46.45 inference(modus_ponens,[status(thm)],[22171, 22170])).
% 73.60/46.45 tff(22173,plain,
% 73.60/46.45 ((~v90(constB147, bitIndex1)) | v90(constB147, bitIndex2) | v121(constB147)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22172, 965, 21984])).
% 73.60/46.45 tff(22174,plain,
% 73.60/46.45 (v121(constB147)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22173, 22169, 22160])).
% 73.60/46.45 tff(22175,plain,
% 73.60/46.45 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB147) | (~v121(constB147)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB147) | (~v121(constB147)))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22176,plain,
% 73.60/46.45 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB147) | (~v121(constB147)))),
% 73.60/46.45 inference(quant_inst,[status(thm)],[])).
% 73.60/46.45 tff(22177,plain,
% 73.60/46.45 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB147) | (~v121(constB147))),
% 73.60/46.45 inference(modus_ponens,[status(thm)],[22176, 22175])).
% 73.60/46.45 tff(22178,plain,
% 73.60/46.45 (v117(constB147)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22177, 976, 22174])).
% 73.60/46.45 tff(22179,plain,
% 73.60/46.45 ($false),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[21871, 254, 22178, 21983])).
% 73.60/46.45 tff(22180,plain,(v100(constB148) | v90(constB147, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.60/46.45 tff(22181,plain,
% 73.60/46.45 ($false),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22180, 21976, 21967])).
% 73.60/46.45 tff(22182,plain,(v100(constB148) | v90(constB148, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.60/46.45 tff(22183,plain,
% 73.60/46.45 (v100(constB148)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22182, 21966])).
% 73.60/46.45 tff(22184,plain,
% 73.60/46.45 (v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1))),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22059, 854, 22183])).
% 73.60/46.45 tff(22185,plain,
% 73.60/46.45 (v90(constB148, bitIndex1)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22184, 21859])).
% 73.60/46.45 tff(22186,plain,
% 73.60/46.45 ((~v1(constB149)) <=> (~v1(constB149))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22187,axiom,(~v1(constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_149_1_1')).
% 73.60/46.45 tff(22188,plain,
% 73.60/46.45 (~v1(constB149)),
% 73.60/46.45 inference(modus_ponens,[status(thm)],[22187, 22186])).
% 73.60/46.45 tff(22189,plain,
% 73.60/46.45 (nextState(constB148, constB149) <=> nextState(constB148, constB149)),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22190,axiom,(nextState(constB148, constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_148_1')).
% 73.60/46.45 tff(22191,plain,
% 73.60/46.45 (nextState(constB148, constB149)),
% 73.60/46.45 inference(modus_ponens,[status(thm)],[22190, 22189])).
% 73.60/46.45 tff(22192,plain,
% 73.60/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22193,plain,
% 73.60/46.45 (((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149)) <=> (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22194,plain,
% 73.60/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149))))),
% 73.60/46.45 inference(monotonicity,[status(thm)],[22193])).
% 73.60/46.45 tff(22195,plain,
% 73.60/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 73.60/46.45 inference(transitivity,[status(thm)],[22194, 22192])).
% 73.60/46.45 tff(22196,plain,
% 73.60/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))),
% 73.60/46.45 inference(quant_inst,[status(thm)],[])).
% 73.60/46.45 tff(22197,plain,
% 73.60/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149))),
% 73.60/46.45 inference(modus_ponens,[status(thm)],[22196, 22195])).
% 73.60/46.45 tff(22198,plain,
% 73.60/46.45 (~v101(constB149)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22197, 56, 22191, 22188])).
% 73.60/46.45 tff(22199,plain,
% 73.60/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22200,plain,
% 73.60/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))),
% 73.60/46.45 inference(quant_inst,[status(thm)],[])).
% 73.60/46.45 tff(22201,plain,
% 73.60/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149))),
% 73.60/46.45 inference(modus_ponens,[status(thm)],[22200, 22199])).
% 73.60/46.45 tff(22202,plain,
% 73.60/46.45 (v101(constB149) | (~v100(constB149))),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22201, 73, 22191])).
% 73.60/46.45 tff(22203,plain,
% 73.60/46.45 (~v100(constB149)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22202, 22198])).
% 73.60/46.45 tff(22204,plain,
% 73.60/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22205,plain,
% 73.60/46.45 (((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1)) <=> ((~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))),
% 73.60/46.45 inference(rewrite,[status(thm)],[])).
% 73.60/46.45 tff(22206,plain,
% 73.60/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1)))),
% 73.60/46.45 inference(monotonicity,[status(thm)],[22205])).
% 73.60/46.45 tff(22207,plain,
% 73.60/46.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))),
% 73.60/46.45 inference(transitivity,[status(thm)],[22206, 22204])).
% 73.60/46.45 tff(22208,plain,
% 73.60/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1))),
% 73.60/46.45 inference(quant_inst,[status(thm)],[])).
% 73.60/46.45 tff(22209,plain,
% 73.60/46.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1)),
% 73.60/46.45 inference(modus_ponens,[status(thm)],[22208, 22207])).
% 73.60/46.45 tff(22210,plain,
% 73.60/46.45 ((~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22209, 872, 22191])).
% 73.60/46.45 tff(22211,plain,
% 73.60/46.45 ((~v90(constB148, bitIndex1)) | v90(constB149, bitIndex1)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22210, 22203])).
% 73.60/46.45 tff(22212,plain,
% 73.60/46.45 (v90(constB149, bitIndex1)),
% 73.60/46.45 inference(unit_resolution,[status(thm)],[22211, 22185])).
% 73.60/46.46 tff(22213,plain,
% 73.60/46.46 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB147)) | (~v130(constB147, bitIndex2)))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22214,plain,
% 73.60/46.46 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex2)))),
% 73.60/46.46 inference(quant_inst,[status(thm)],[])).
% 73.60/46.46 tff(22215,plain,
% 73.60/46.46 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB147)) | (~v130(constB147, bitIndex2))),
% 73.60/46.46 inference(modus_ponens,[status(thm)],[22214, 22213])).
% 73.60/46.46 tff(22216,plain,
% 73.60/46.46 (~v130(constB147, bitIndex2)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22215, 730, 21838])).
% 73.60/46.46 tff(22217,plain,
% 73.60/46.46 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22218,plain,
% 73.60/46.46 ((v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2))) <=> ((~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22219,plain,
% 73.60/46.46 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2)))),
% 73.60/46.46 inference(monotonicity,[status(thm)],[22218])).
% 73.60/46.46 tff(22220,plain,
% 73.60/46.46 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))),
% 73.60/46.46 inference(transitivity,[status(thm)],[22219, 22217])).
% 73.60/46.46 tff(22221,plain,
% 73.60/46.46 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2)))),
% 73.60/46.46 inference(quant_inst,[status(thm)],[])).
% 73.60/46.46 tff(22222,plain,
% 73.60/46.46 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2)),
% 73.60/46.46 inference(modus_ponens,[status(thm)],[22221, 22220])).
% 73.60/46.46 tff(22223,plain,
% 73.60/46.46 ((~v127(constB147, bitIndex2)) | v130(constB147, bitIndex2)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22222, 470, 21846])).
% 73.60/46.46 tff(22224,plain,
% 73.60/46.46 (~v127(constB147, bitIndex2)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22223, 22216])).
% 73.60/46.46 tff(22225,plain,
% 73.60/46.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2)))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22226,plain,
% 73.60/46.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2)))),
% 73.60/46.46 inference(quant_inst,[status(thm)],[])).
% 73.60/46.46 tff(22227,plain,
% 73.60/46.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2))),
% 73.60/46.46 inference(modus_ponens,[status(thm)],[22226, 22225])).
% 73.60/46.46 tff(22228,plain,
% 73.60/46.46 (v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2))),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22227, 488, 21854])).
% 73.60/46.46 tff(22229,plain,
% 73.60/46.46 (~v129(constB148, bitIndex2)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22228, 22224])).
% 73.60/46.46 tff(22230,plain,
% 73.60/46.46 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22231,plain,
% 73.60/46.46 (((~v90(constB148, bitIndex2)) | (~v100(constB148)) | v129(constB148, bitIndex2)) <=> ((~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22232,plain,
% 73.60/46.46 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB148, bitIndex2)) | (~v100(constB148)) | v129(constB148, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148))))),
% 73.60/46.46 inference(monotonicity,[status(thm)],[22231])).
% 73.60/46.46 tff(22233,plain,
% 73.60/46.46 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB148, bitIndex2)) | (~v100(constB148)) | v129(constB148, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))),
% 73.60/46.46 inference(transitivity,[status(thm)],[22232, 22230])).
% 73.60/46.46 tff(22234,plain,
% 73.60/46.46 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB148, bitIndex2)) | (~v100(constB148)) | v129(constB148, bitIndex2))),
% 73.60/46.46 inference(quant_inst,[status(thm)],[])).
% 73.60/46.46 tff(22235,plain,
% 73.60/46.46 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148))),
% 73.60/46.46 inference(modus_ponens,[status(thm)],[22234, 22233])).
% 73.60/46.46 tff(22236,plain,
% 73.60/46.46 ((~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22235, 503, 22183])).
% 73.60/46.46 tff(22237,plain,
% 73.60/46.46 (~v90(constB148, bitIndex2)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22236, 22229])).
% 73.60/46.46 tff(22238,plain,
% 73.60/46.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22239,plain,
% 73.60/46.46 (((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2))) <=> (v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22240,plain,
% 73.60/46.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2))))),
% 73.60/46.46 inference(monotonicity,[status(thm)],[22239])).
% 73.60/46.46 tff(22241,plain,
% 73.60/46.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 73.60/46.46 inference(transitivity,[status(thm)],[22240, 22238])).
% 73.60/46.46 tff(22242,plain,
% 73.60/46.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 73.60/46.46 inference(quant_inst,[status(thm)],[])).
% 73.60/46.46 tff(22243,plain,
% 73.60/46.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2))),
% 73.60/46.46 inference(modus_ponens,[status(thm)],[22242, 22241])).
% 73.60/46.46 tff(22244,plain,
% 73.60/46.46 (v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2))),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22243, 88, 22191])).
% 73.60/46.46 tff(22245,plain,
% 73.60/46.46 (v90(constB148, bitIndex2) | (~v90(constB149, bitIndex2))),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22244, 22203])).
% 73.60/46.46 tff(22246,plain,
% 73.60/46.46 (~v90(constB149, bitIndex2)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22245, 22237])).
% 73.60/46.46 tff(22247,plain,
% 73.60/46.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22248,plain,
% 73.60/46.46 (((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0))) <=> (v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22249,plain,
% 73.60/46.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0))))),
% 73.60/46.46 inference(monotonicity,[status(thm)],[22248])).
% 73.60/46.46 tff(22250,plain,
% 73.60/46.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 73.60/46.46 inference(transitivity,[status(thm)],[22249, 22247])).
% 73.60/46.46 tff(22251,plain,
% 73.60/46.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 73.60/46.46 inference(quant_inst,[status(thm)],[])).
% 73.60/46.46 tff(22252,plain,
% 73.60/46.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0))),
% 73.60/46.46 inference(modus_ponens,[status(thm)],[22251, 22250])).
% 73.60/46.46 tff(22253,plain,
% 73.60/46.46 (v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0))),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22252, 130, 22191])).
% 73.60/46.46 tff(22254,plain,
% 73.60/46.46 (v90(constB148, bitIndex0) | (~v90(constB149, bitIndex0))),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22253, 22203])).
% 73.60/46.46 tff(22255,plain,
% 73.60/46.46 (~v90(constB149, bitIndex0)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22254, 21966])).
% 73.60/46.46 tff(22256,plain,
% 73.60/46.46 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22257,plain,
% 73.60/46.46 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149))),
% 73.60/46.46 inference(quant_inst,[status(thm)],[])).
% 73.60/46.46 tff(22258,plain,
% 73.60/46.46 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149)),
% 73.60/46.46 inference(modus_ponens,[status(thm)],[22257, 22256])).
% 73.60/46.46 tff(22259,plain,
% 73.60/46.46 ((~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22258, 965, 22255])).
% 73.60/46.46 tff(22260,plain,
% 73.60/46.46 (v121(constB149)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22259, 22246, 22212])).
% 73.60/46.46 tff(22261,plain,
% 73.60/46.46 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB149)) | v130(constB149, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB149)) | v130(constB149, bitIndex1))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22262,plain,
% 73.60/46.46 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB149)) | v130(constB149, bitIndex1))),
% 73.60/46.46 inference(quant_inst,[status(thm)],[])).
% 73.60/46.46 tff(22263,plain,
% 73.60/46.46 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB149)) | v130(constB149, bitIndex1)),
% 73.60/46.46 inference(modus_ponens,[status(thm)],[22262, 22261])).
% 73.60/46.46 tff(22264,plain,
% 73.60/46.46 (v130(constB149, bitIndex1)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22263, 1121, 22260])).
% 73.60/46.46 tff(22265,assumption,(v26(constB149)), introduced(assumption)).
% 73.60/46.46 tff(22266,plain,
% 73.60/46.46 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB149))),
% 73.60/46.46 inference(quant_inst,[status(thm)],[])).
% 73.60/46.46 tff(22267,plain,
% 73.60/46.46 ($false),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22266, 37, 22265])).
% 73.60/46.46 tff(22268,plain,(~v26(constB149)), inference(lemma,lemma(discharge,[]))).
% 73.60/46.46 tff(22269,plain,
% 73.60/46.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22270,plain,
% 73.60/46.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1))),
% 73.60/46.46 inference(quant_inst,[status(thm)],[])).
% 73.60/46.46 tff(22271,plain,
% 73.60/46.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1)),
% 73.60/46.46 inference(modus_ponens,[status(thm)],[22270, 22269])).
% 73.60/46.46 tff(22272,plain,
% 73.60/46.46 ((~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22271, 824, 22268])).
% 73.60/46.46 tff(22273,plain,
% 73.60/46.46 (v127(constB149, bitIndex1)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22272, 22264])).
% 73.60/46.46 tff(22274,plain,
% 73.60/46.46 (nextState(constB149, constB150) <=> nextState(constB149, constB150)),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22275,axiom,(nextState(constB149, constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_149_1')).
% 73.60/46.46 tff(22276,plain,
% 73.60/46.46 (nextState(constB149, constB150)),
% 73.60/46.46 inference(modus_ponens,[status(thm)],[22275, 22274])).
% 73.60/46.46 tff(22277,plain,
% 73.60/46.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22278,plain,
% 73.60/46.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1))),
% 73.60/46.46 inference(quant_inst,[status(thm)],[])).
% 73.60/46.46 tff(22279,plain,
% 73.60/46.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1)),
% 73.60/46.46 inference(modus_ponens,[status(thm)],[22278, 22277])).
% 73.60/46.46 tff(22280,plain,
% 73.60/46.46 ((~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22279, 839, 22276])).
% 73.60/46.46 tff(22281,plain,
% 73.60/46.46 (v129(constB150, bitIndex1)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22280, 22273])).
% 73.60/46.46 tff(22282,assumption,(v121(constB149)), introduced(assumption)).
% 73.60/46.46 tff(22283,plain,
% 73.60/46.46 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB149)) | v130(constB149, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB149)) | v130(constB149, bitIndex0))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22284,plain,
% 73.60/46.46 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB149)) | v130(constB149, bitIndex0))),
% 73.60/46.46 inference(quant_inst,[status(thm)],[])).
% 73.60/46.46 tff(22285,plain,
% 73.60/46.46 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB149)) | v130(constB149, bitIndex0)),
% 73.60/46.46 inference(modus_ponens,[status(thm)],[22284, 22283])).
% 73.60/46.46 tff(22286,plain,
% 73.60/46.46 (v130(constB149, bitIndex0)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22285, 1162, 22282])).
% 73.60/46.46 tff(22287,plain,
% 73.60/46.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22288,plain,
% 73.60/46.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0))),
% 73.60/46.46 inference(quant_inst,[status(thm)],[])).
% 73.60/46.46 tff(22289,plain,
% 73.60/46.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0)),
% 73.60/46.46 inference(modus_ponens,[status(thm)],[22288, 22287])).
% 73.60/46.46 tff(22290,plain,
% 73.60/46.46 ((~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22289, 179, 22268])).
% 73.60/46.46 tff(22291,plain,
% 73.60/46.46 (v127(constB149, bitIndex0)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22290, 22286])).
% 73.60/46.46 tff(22292,plain,
% 73.60/46.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22293,plain,
% 73.60/46.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0))),
% 73.60/46.46 inference(quant_inst,[status(thm)],[])).
% 73.60/46.46 tff(22294,plain,
% 73.60/46.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0)),
% 73.60/46.46 inference(modus_ponens,[status(thm)],[22293, 22292])).
% 73.60/46.46 tff(22295,plain,
% 73.60/46.46 ((~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22294, 197, 22276])).
% 73.60/46.46 tff(22296,plain,
% 73.60/46.46 (v129(constB150, bitIndex0)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22295, 22291])).
% 73.60/46.46 tff(22297,assumption,(~v90(constB150, bitIndex0)), introduced(assumption)).
% 73.60/46.46 tff(22298,plain,
% 73.60/46.46 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22299,plain,
% 73.60/46.46 ((v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0))) <=> (v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22300,plain,
% 73.60/46.46 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150))))),
% 73.60/46.46 inference(monotonicity,[status(thm)],[22299])).
% 73.60/46.46 tff(22301,plain,
% 73.60/46.46 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))),
% 73.60/46.46 inference(transitivity,[status(thm)],[22300, 22298])).
% 73.60/46.46 tff(22302,plain,
% 73.60/46.46 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0)))),
% 73.60/46.46 inference(quant_inst,[status(thm)],[])).
% 73.60/46.46 tff(22303,plain,
% 73.60/46.46 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150))),
% 73.60/46.46 inference(modus_ponens,[status(thm)],[22302, 22301])).
% 73.60/46.46 tff(22304,plain,
% 73.60/46.46 ((~v129(constB150, bitIndex0)) | (~v100(constB150))),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22303, 401, 22297])).
% 73.60/46.46 tff(22305,plain,
% 73.60/46.46 (~v100(constB150)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22304, 22296])).
% 73.60/46.46 tff(22306,plain,
% 73.60/46.46 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22307,plain,
% 73.60/46.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))),
% 73.60/46.46 inference(quant_inst,[status(thm)],[])).
% 73.60/46.46 tff(22308,plain,
% 73.60/46.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150))),
% 73.60/46.46 inference(modus_ponens,[status(thm)],[22307, 22306])).
% 73.60/46.46 tff(22309,plain,
% 73.60/46.46 (~v104(constB150)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22308, 335, 22276, 22188])).
% 73.60/46.46 tff(22310,plain,
% 73.60/46.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22311,plain,
% 73.60/46.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))),
% 73.60/46.46 inference(quant_inst,[status(thm)],[])).
% 73.60/46.46 tff(22312,plain,
% 73.60/46.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v102(constB150) | v104(constB150)),
% 73.60/46.46 inference(modus_ponens,[status(thm)],[22311, 22310])).
% 73.60/46.46 tff(22313,plain,
% 73.60/46.46 (v102(constB150) | v104(constB150)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22312, 349, 22276])).
% 73.60/46.46 tff(22314,plain,
% 73.60/46.46 (v102(constB150)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22313, 22309])).
% 73.60/46.46 tff(22315,plain,
% 73.60/46.46 (v1(constB150) <=> v1(constB150)),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22316,axiom,(v1(constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_150_1')).
% 73.60/46.46 tff(22317,plain,
% 73.60/46.46 (v1(constB150)),
% 73.60/46.46 inference(modus_ponens,[status(thm)],[22316, 22315])).
% 73.60/46.46 tff(22318,plain,
% 73.60/46.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22319,plain,
% 73.60/46.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))),
% 73.60/46.46 inference(quant_inst,[status(thm)],[])).
% 73.60/46.46 tff(22320,plain,
% 73.60/46.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150))),
% 73.60/46.46 inference(modus_ponens,[status(thm)],[22319, 22318])).
% 73.60/46.46 tff(22321,plain,
% 73.60/46.46 (v101(constB150) | (~v102(constB150))),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22320, 367, 22276, 22317])).
% 73.60/46.46 tff(22322,plain,
% 73.60/46.46 (v101(constB150)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22321, 22314])).
% 73.60/46.46 tff(22323,plain,
% 73.60/46.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22324,plain,
% 73.60/46.46 (((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150)) <=> ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22325,plain,
% 73.60/46.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150))))),
% 73.60/46.46 inference(monotonicity,[status(thm)],[22324])).
% 73.60/46.46 tff(22326,plain,
% 73.60/46.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 73.60/46.46 inference(transitivity,[status(thm)],[22325, 22323])).
% 73.60/46.46 tff(22327,plain,
% 73.60/46.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))),
% 73.60/46.46 inference(quant_inst,[status(thm)],[])).
% 73.60/46.46 tff(22328,plain,
% 73.60/46.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150))),
% 73.60/46.46 inference(modus_ponens,[status(thm)],[22327, 22326])).
% 73.60/46.46 tff(22329,plain,
% 73.60/46.46 (v100(constB150) | (~v101(constB150)) | (~v110(constB150))),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22328, 382, 22276])).
% 73.60/46.46 tff(22330,plain,
% 73.60/46.46 (v100(constB150) | (~v110(constB150))),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22329, 22322])).
% 73.60/46.46 tff(22331,plain,
% 73.60/46.46 (~v110(constB150)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22330, 22305])).
% 73.60/46.46 tff(22332,plain,
% 73.60/46.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22333,plain,
% 73.60/46.46 (((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150)) <=> ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22334,plain,
% 73.60/46.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149))))),
% 73.60/46.46 inference(monotonicity,[status(thm)],[22333])).
% 73.60/46.46 tff(22335,plain,
% 73.60/46.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 73.60/46.46 inference(transitivity,[status(thm)],[22334, 22332])).
% 73.60/46.46 tff(22336,plain,
% 73.60/46.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))),
% 73.60/46.46 inference(quant_inst,[status(thm)],[])).
% 73.60/46.46 tff(22337,plain,
% 73.60/46.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149))),
% 73.60/46.46 inference(modus_ponens,[status(thm)],[22336, 22335])).
% 73.60/46.46 tff(22338,plain,
% 73.60/46.46 (v110(constB150) | (~v108(constB149))),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22337, 317, 22276])).
% 73.60/46.46 tff(22339,plain,
% 73.60/46.46 (~v108(constB149)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22338, 22331])).
% 73.60/46.46 tff(22340,plain,
% 73.60/46.46 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB149) | (~v112(constB149)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB149) | (~v112(constB149)))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22341,plain,
% 73.60/46.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB149) | (~v112(constB149)))),
% 73.60/46.46 inference(quant_inst,[status(thm)],[])).
% 73.60/46.46 tff(22342,plain,
% 73.60/46.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB149) | (~v112(constB149))),
% 73.60/46.46 inference(modus_ponens,[status(thm)],[22341, 22340])).
% 73.60/46.46 tff(22343,plain,
% 73.60/46.46 (~v112(constB149)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22342, 210, 22339])).
% 73.60/46.46 tff(22344,plain,
% 73.60/46.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | v112(constB149) | (~v113(constB149)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | v112(constB149) | (~v113(constB149)))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22345,plain,
% 73.60/46.46 ((v26(constB149) | (~v113(constB149)) | v112(constB149)) <=> (v26(constB149) | v112(constB149) | (~v113(constB149)))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22346,plain,
% 73.60/46.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | v112(constB149) | (~v113(constB149))))),
% 73.60/46.46 inference(monotonicity,[status(thm)],[22345])).
% 73.60/46.46 tff(22347,plain,
% 73.60/46.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | v112(constB149) | (~v113(constB149)))),
% 73.60/46.46 inference(transitivity,[status(thm)],[22346, 22344])).
% 73.60/46.46 tff(22348,plain,
% 73.60/46.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))),
% 73.60/46.46 inference(quant_inst,[status(thm)],[])).
% 73.60/46.46 tff(22349,plain,
% 73.60/46.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | v112(constB149) | (~v113(constB149))),
% 73.60/46.46 inference(modus_ponens,[status(thm)],[22348, 22347])).
% 73.60/46.46 tff(22350,plain,
% 73.60/46.46 (v112(constB149) | (~v113(constB149))),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22349, 301, 22268])).
% 73.60/46.46 tff(22351,plain,
% 73.60/46.46 (~v113(constB149)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22350, 22343])).
% 73.60/46.46 tff(22352,plain,
% 73.60/46.46 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB149) | (~v114(constB149)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB149) | (~v114(constB149)))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22353,plain,
% 73.60/46.46 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB149) | (~v114(constB149)))),
% 73.60/46.46 inference(quant_inst,[status(thm)],[])).
% 73.60/46.46 tff(22354,plain,
% 73.60/46.46 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB149) | (~v114(constB149))),
% 73.60/46.46 inference(modus_ponens,[status(thm)],[22353, 22352])).
% 73.60/46.46 tff(22355,plain,
% 73.60/46.46 (~v114(constB149)),
% 73.60/46.46 inference(unit_resolution,[status(thm)],[22354, 287, 22351])).
% 73.60/46.46 tff(22356,plain,
% 73.60/46.46 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB149) | (~v121(constB149)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB149) | (~v121(constB149)))),
% 73.60/46.46 inference(rewrite,[status(thm)],[])).
% 73.60/46.46 tff(22357,plain,
% 73.60/46.46 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB149) | (~v121(constB149)))),
% 73.60/46.47 inference(quant_inst,[status(thm)],[])).
% 73.60/46.47 tff(22358,plain,
% 73.60/46.47 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB149) | (~v121(constB149))),
% 73.60/46.47 inference(modus_ponens,[status(thm)],[22357, 22356])).
% 73.60/46.47 tff(22359,plain,
% 73.60/46.47 (v117(constB149)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22358, 976, 22282])).
% 73.60/46.47 tff(22360,plain,
% 73.60/46.47 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB149) | (~v117(constB149)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB149) | (~v117(constB149)))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22361,plain,
% 73.60/46.47 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB149) | (~v117(constB149)))),
% 73.60/46.47 inference(quant_inst,[status(thm)],[])).
% 73.60/46.47 tff(22362,plain,
% 73.60/46.47 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB149) | (~v117(constB149))),
% 73.60/46.47 inference(modus_ponens,[status(thm)],[22361, 22360])).
% 73.60/46.47 tff(22363,plain,
% 73.60/46.47 (v116(constB149)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22362, 254, 22359])).
% 73.60/46.47 tff(22364,plain,
% 73.60/46.47 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB149) | (~v116(constB149)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB149) | (~v116(constB149)))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22365,plain,
% 73.60/46.47 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB149) | (~v116(constB149)))),
% 73.60/46.47 inference(quant_inst,[status(thm)],[])).
% 73.60/46.47 tff(22366,plain,
% 73.60/46.47 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB149) | (~v116(constB149))),
% 73.60/46.47 inference(modus_ponens,[status(thm)],[22365, 22364])).
% 73.60/46.47 tff(22367,plain,
% 73.60/46.47 (v115(constB149)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22366, 265, 22363])).
% 73.60/46.47 tff(22368,plain,
% 73.60/46.47 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB149) | (~v115(constB149)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB149) | (~v115(constB149)))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22369,plain,
% 73.60/46.47 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB149) | (~v115(constB149)))),
% 73.60/46.47 inference(quant_inst,[status(thm)],[])).
% 73.60/46.47 tff(22370,plain,
% 73.60/46.47 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB149) | (~v115(constB149))),
% 73.60/46.47 inference(modus_ponens,[status(thm)],[22369, 22368])).
% 73.60/46.47 tff(22371,plain,
% 73.60/46.47 ($false),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22370, 276, 22367, 22355])).
% 73.60/46.47 tff(22372,plain,((~v121(constB149)) | v90(constB150, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.60/46.47 tff(22373,plain,
% 73.60/46.47 (v90(constB150, bitIndex0)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22372, 22260])).
% 73.60/46.47 tff(22374,plain,
% 73.60/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0)))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22375,plain,
% 73.60/46.47 (((~nextState(constB149, constB150)) | v90(constB149, bitIndex0) | v100(constB150) | (~v90(constB150, bitIndex0))) <=> (v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0)))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22376,plain,
% 73.60/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB149, constB150)) | v90(constB149, bitIndex0) | v100(constB150) | (~v90(constB150, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0))))),
% 73.60/46.47 inference(monotonicity,[status(thm)],[22375])).
% 73.60/46.47 tff(22377,plain,
% 73.60/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB149, constB150)) | v90(constB149, bitIndex0) | v100(constB150) | (~v90(constB150, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0)))),
% 73.60/46.47 inference(transitivity,[status(thm)],[22376, 22374])).
% 73.60/46.47 tff(22378,plain,
% 73.60/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB149, constB150)) | v90(constB149, bitIndex0) | v100(constB150) | (~v90(constB150, bitIndex0)))),
% 73.60/46.47 inference(quant_inst,[status(thm)],[])).
% 73.60/46.47 tff(22379,plain,
% 73.60/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB149, bitIndex0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, bitIndex0))),
% 73.60/46.47 inference(modus_ponens,[status(thm)],[22378, 22377])).
% 73.60/46.47 tff(22380,plain,
% 73.60/46.47 (v90(constB149, bitIndex0) | v100(constB150) | (~v90(constB150, bitIndex0))),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22379, 130, 22276])).
% 73.60/46.47 tff(22381,plain,
% 73.60/46.47 (v100(constB150)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22380, 22373, 22255])).
% 73.60/46.47 tff(22382,plain,
% 73.60/46.47 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22383,plain,
% 73.60/46.47 ((v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1))) <=> (v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22384,plain,
% 73.60/46.47 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150))))),
% 73.60/46.47 inference(monotonicity,[status(thm)],[22383])).
% 73.60/46.47 tff(22385,plain,
% 73.60/46.47 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))),
% 73.60/46.47 inference(transitivity,[status(thm)],[22384, 22382])).
% 73.60/46.47 tff(22386,plain,
% 73.60/46.47 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1)))),
% 73.60/46.47 inference(quant_inst,[status(thm)],[])).
% 73.60/46.47 tff(22387,plain,
% 73.60/46.47 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150))),
% 73.60/46.47 inference(modus_ponens,[status(thm)],[22386, 22385])).
% 73.60/46.47 tff(22388,plain,
% 73.60/46.47 (v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1))),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22387, 854, 22381])).
% 73.60/46.47 tff(22389,plain,
% 73.60/46.47 (v90(constB150, bitIndex1)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22388, 22281])).
% 73.60/46.47 tff(22390,plain,
% 73.60/46.47 ((~v1(constB151)) <=> (~v1(constB151))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22391,axiom,(~v1(constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_151_1_1')).
% 73.60/46.47 tff(22392,plain,
% 73.60/46.47 (~v1(constB151)),
% 73.60/46.47 inference(modus_ponens,[status(thm)],[22391, 22390])).
% 73.60/46.47 tff(22393,plain,
% 73.60/46.47 (nextState(constB150, constB151) <=> nextState(constB150, constB151)),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22394,axiom,(nextState(constB150, constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_150_1')).
% 73.60/46.47 tff(22395,plain,
% 73.60/46.47 (nextState(constB150, constB151)),
% 73.60/46.47 inference(modus_ponens,[status(thm)],[22394, 22393])).
% 73.60/46.47 tff(22396,plain,
% 73.60/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22397,plain,
% 73.60/46.47 (((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151)) <=> (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22398,plain,
% 73.60/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151))))),
% 73.60/46.47 inference(monotonicity,[status(thm)],[22397])).
% 73.60/46.47 tff(22399,plain,
% 73.60/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 73.60/46.47 inference(transitivity,[status(thm)],[22398, 22396])).
% 73.60/46.47 tff(22400,plain,
% 73.60/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))),
% 73.60/46.47 inference(quant_inst,[status(thm)],[])).
% 73.60/46.47 tff(22401,plain,
% 73.60/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151))),
% 73.60/46.47 inference(modus_ponens,[status(thm)],[22400, 22399])).
% 73.60/46.47 tff(22402,plain,
% 73.60/46.47 (~v101(constB151)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22401, 56, 22395, 22392])).
% 73.60/46.47 tff(22403,plain,
% 73.60/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22404,plain,
% 73.60/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))),
% 73.60/46.47 inference(quant_inst,[status(thm)],[])).
% 73.60/46.47 tff(22405,plain,
% 73.60/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151))),
% 73.60/46.47 inference(modus_ponens,[status(thm)],[22404, 22403])).
% 73.60/46.47 tff(22406,plain,
% 73.60/46.47 (v101(constB151) | (~v100(constB151))),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22405, 73, 22395])).
% 73.60/46.47 tff(22407,plain,
% 73.60/46.47 (~v100(constB151)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22406, 22402])).
% 73.60/46.47 tff(22408,plain,
% 73.60/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22409,plain,
% 73.60/46.47 (((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1)) <=> ((~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22410,plain,
% 73.60/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1)))),
% 73.60/46.47 inference(monotonicity,[status(thm)],[22409])).
% 73.60/46.47 tff(22411,plain,
% 73.60/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))),
% 73.60/46.47 inference(transitivity,[status(thm)],[22410, 22408])).
% 73.60/46.47 tff(22412,plain,
% 73.60/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1))),
% 73.60/46.47 inference(quant_inst,[status(thm)],[])).
% 73.60/46.47 tff(22413,plain,
% 73.60/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1)),
% 73.60/46.47 inference(modus_ponens,[status(thm)],[22412, 22411])).
% 73.60/46.47 tff(22414,plain,
% 73.60/46.47 ((~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22413, 872, 22395])).
% 73.60/46.47 tff(22415,plain,
% 73.60/46.47 ((~v90(constB150, bitIndex1)) | v90(constB151, bitIndex1)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22414, 22407])).
% 73.60/46.47 tff(22416,plain,
% 73.60/46.47 (v90(constB151, bitIndex1)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22415, 22389])).
% 73.60/46.47 tff(22417,plain,
% 73.60/46.47 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB149)) | (~v130(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB149)) | (~v130(constB149, bitIndex2)))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22418,plain,
% 73.60/46.47 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB149)) | (~v130(constB149, bitIndex2)))),
% 73.60/46.47 inference(quant_inst,[status(thm)],[])).
% 73.60/46.47 tff(22419,plain,
% 73.60/46.47 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB149)) | (~v130(constB149, bitIndex2))),
% 73.60/46.47 inference(modus_ponens,[status(thm)],[22418, 22417])).
% 73.60/46.47 tff(22420,plain,
% 73.60/46.47 (~v130(constB149, bitIndex2)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22419, 1059, 22260])).
% 73.60/46.47 tff(22421,assumption,(v127(constB149, bitIndex2)), introduced(assumption)).
% 73.60/46.47 tff(22422,assumption,(~v130(constB149, bitIndex2)), introduced(assumption)).
% 73.60/46.47 tff(22423,plain,
% 73.60/46.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22424,plain,
% 73.60/46.47 ((v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2))) <=> ((~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22425,plain,
% 73.60/46.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2)))),
% 73.60/46.47 inference(monotonicity,[status(thm)],[22424])).
% 73.60/46.47 tff(22426,plain,
% 73.60/46.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))),
% 73.60/46.47 inference(transitivity,[status(thm)],[22425, 22423])).
% 73.60/46.47 tff(22427,plain,
% 73.60/46.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2)))),
% 73.60/46.47 inference(quant_inst,[status(thm)],[])).
% 73.60/46.47 tff(22428,plain,
% 73.60/46.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2)),
% 73.60/46.47 inference(modus_ponens,[status(thm)],[22427, 22426])).
% 73.60/46.47 tff(22429,plain,
% 73.60/46.47 ((~v127(constB149, bitIndex2)) | v26(constB149)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22428, 470, 22422])).
% 73.60/46.47 tff(22430,plain,
% 73.60/46.47 (v26(constB149)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22429, 22421])).
% 73.60/46.47 tff(22431,plain,
% 73.60/46.47 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB149)) | (~v127(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB149)) | (~v127(constB149, bitIndex2)))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22432,plain,
% 73.60/46.47 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB149)) | (~v127(constB149, bitIndex2)))),
% 73.60/46.47 inference(quant_inst,[status(thm)],[])).
% 73.60/46.47 tff(22433,plain,
% 73.60/46.47 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB149)) | (~v127(constB149, bitIndex2))),
% 73.60/46.47 inference(modus_ponens,[status(thm)],[22432, 22431])).
% 73.60/46.47 tff(22434,plain,
% 73.60/46.47 ($false),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22433, 754, 22421, 22430])).
% 73.60/46.47 tff(22435,plain,((~v127(constB149, bitIndex2)) | v130(constB149, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 73.60/46.47 tff(22436,plain,
% 73.60/46.47 (~v127(constB149, bitIndex2)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22435, 22420])).
% 73.60/46.47 tff(22437,plain,
% 73.60/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2)))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22438,plain,
% 73.60/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2)))),
% 73.60/46.47 inference(quant_inst,[status(thm)],[])).
% 73.60/46.47 tff(22439,plain,
% 73.60/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2))),
% 73.60/46.47 inference(modus_ponens,[status(thm)],[22438, 22437])).
% 73.60/46.47 tff(22440,plain,
% 73.60/46.47 (v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2))),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22439, 488, 22276])).
% 73.60/46.47 tff(22441,plain,
% 73.60/46.47 (~v129(constB150, bitIndex2)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22440, 22436])).
% 73.60/46.47 tff(22442,plain,
% 73.60/46.47 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22443,plain,
% 73.60/46.47 (((~v90(constB150, bitIndex2)) | (~v100(constB150)) | v129(constB150, bitIndex2)) <=> ((~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22444,plain,
% 73.60/46.47 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB150, bitIndex2)) | (~v100(constB150)) | v129(constB150, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150))))),
% 73.60/46.47 inference(monotonicity,[status(thm)],[22443])).
% 73.60/46.47 tff(22445,plain,
% 73.60/46.47 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB150, bitIndex2)) | (~v100(constB150)) | v129(constB150, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))),
% 73.60/46.47 inference(transitivity,[status(thm)],[22444, 22442])).
% 73.60/46.47 tff(22446,plain,
% 73.60/46.47 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB150, bitIndex2)) | (~v100(constB150)) | v129(constB150, bitIndex2))),
% 73.60/46.47 inference(quant_inst,[status(thm)],[])).
% 73.60/46.47 tff(22447,plain,
% 73.60/46.47 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150))),
% 73.60/46.47 inference(modus_ponens,[status(thm)],[22446, 22445])).
% 73.60/46.47 tff(22448,plain,
% 73.60/46.47 ((~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22447, 503, 22381])).
% 73.60/46.47 tff(22449,plain,
% 73.60/46.47 (~v90(constB150, bitIndex2)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22448, 22441])).
% 73.60/46.47 tff(22450,plain,
% 73.60/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22451,plain,
% 73.60/46.47 (((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2))) <=> (v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22452,plain,
% 73.60/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2))))),
% 73.60/46.47 inference(monotonicity,[status(thm)],[22451])).
% 73.60/46.47 tff(22453,plain,
% 73.60/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 73.60/46.47 inference(transitivity,[status(thm)],[22452, 22450])).
% 73.60/46.47 tff(22454,plain,
% 73.60/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 73.60/46.47 inference(quant_inst,[status(thm)],[])).
% 73.60/46.47 tff(22455,plain,
% 73.60/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2))),
% 73.60/46.47 inference(modus_ponens,[status(thm)],[22454, 22453])).
% 73.60/46.47 tff(22456,plain,
% 73.60/46.47 (v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2))),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22455, 88, 22395])).
% 73.60/46.47 tff(22457,plain,
% 73.60/46.47 (v90(constB150, bitIndex2) | (~v90(constB151, bitIndex2))),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22456, 22407])).
% 73.60/46.47 tff(22458,plain,
% 73.60/46.47 (~v90(constB151, bitIndex2)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22457, 22449])).
% 73.60/46.47 tff(22459,plain,
% 73.60/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22460,plain,
% 73.60/46.47 (((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0)) <=> ((~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22461,plain,
% 73.60/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0)))),
% 73.60/46.47 inference(monotonicity,[status(thm)],[22460])).
% 73.60/46.47 tff(22462,plain,
% 73.60/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))),
% 73.60/46.47 inference(transitivity,[status(thm)],[22461, 22459])).
% 73.60/46.47 tff(22463,plain,
% 73.60/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0))),
% 73.60/46.47 inference(quant_inst,[status(thm)],[])).
% 73.60/46.47 tff(22464,plain,
% 73.60/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0)),
% 73.60/46.47 inference(modus_ponens,[status(thm)],[22463, 22462])).
% 73.60/46.47 tff(22465,plain,
% 73.60/46.47 ((~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22464, 437, 22395])).
% 73.60/46.47 tff(22466,plain,
% 73.60/46.47 ((~v90(constB150, bitIndex0)) | v90(constB151, bitIndex0)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22465, 22407])).
% 73.60/46.47 tff(22467,plain,
% 73.60/46.47 (v90(constB151, bitIndex0)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22466, 22373])).
% 73.60/46.47 tff(22468,plain,
% 73.60/46.47 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22469,plain,
% 73.60/46.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151))),
% 73.60/46.47 inference(quant_inst,[status(thm)],[])).
% 73.60/46.47 tff(22470,plain,
% 73.60/46.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151)),
% 73.60/46.47 inference(modus_ponens,[status(thm)],[22469, 22468])).
% 73.60/46.47 tff(22471,plain,
% 73.60/46.47 ((~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22470, 1203, 22467])).
% 73.60/46.47 tff(22472,plain,
% 73.60/46.47 (v122(constB151)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22471, 22458, 22416])).
% 73.60/46.47 tff(22473,plain,
% 73.60/46.47 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB151)) | (~v130(constB151, bitIndex1)))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22474,plain,
% 73.60/46.47 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex1)))),
% 73.60/46.47 inference(quant_inst,[status(thm)],[])).
% 73.60/46.47 tff(22475,plain,
% 73.60/46.47 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB151)) | (~v130(constB151, bitIndex1))),
% 73.60/46.47 inference(modus_ponens,[status(thm)],[22474, 22473])).
% 73.60/46.47 tff(22476,plain,
% 73.60/46.47 (~v130(constB151, bitIndex1)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22475, 1389, 22472])).
% 73.60/46.47 tff(22477,assumption,(v127(constB151, bitIndex1)), introduced(assumption)).
% 73.60/46.47 tff(22478,assumption,(~v130(constB151, bitIndex1)), introduced(assumption)).
% 73.60/46.47 tff(22479,plain,
% 73.60/46.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22480,plain,
% 73.60/46.47 ((v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1))) <=> ((~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22481,plain,
% 73.60/46.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1)))),
% 73.60/46.47 inference(monotonicity,[status(thm)],[22480])).
% 73.60/46.47 tff(22482,plain,
% 73.60/46.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))),
% 73.60/46.47 inference(transitivity,[status(thm)],[22481, 22479])).
% 73.60/46.47 tff(22483,plain,
% 73.60/46.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1)))),
% 73.60/46.47 inference(quant_inst,[status(thm)],[])).
% 73.60/46.47 tff(22484,plain,
% 73.60/46.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1)),
% 73.60/46.47 inference(modus_ponens,[status(thm)],[22483, 22482])).
% 73.60/46.47 tff(22485,plain,
% 73.60/46.47 ((~v127(constB151, bitIndex1)) | v26(constB151)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22484, 555, 22478])).
% 73.60/46.47 tff(22486,plain,
% 73.60/46.47 (v26(constB151)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22485, 22477])).
% 73.60/46.47 tff(22487,plain,
% 73.60/46.47 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB151)) | (~v127(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB151)) | (~v127(constB151, bitIndex1)))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22488,plain,
% 73.60/46.47 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB151)) | (~v127(constB151, bitIndex1)))),
% 73.60/46.47 inference(quant_inst,[status(thm)],[])).
% 73.60/46.47 tff(22489,plain,
% 73.60/46.47 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB151)) | (~v127(constB151, bitIndex1))),
% 73.60/46.47 inference(modus_ponens,[status(thm)],[22488, 22487])).
% 73.60/46.47 tff(22490,plain,
% 73.60/46.47 ($false),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22489, 573, 22477, 22486])).
% 73.60/46.47 tff(22491,plain,((~v127(constB151, bitIndex1)) | v130(constB151, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 73.60/46.47 tff(22492,plain,
% 73.60/46.47 (~v127(constB151, bitIndex1)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22491, 22476])).
% 73.60/46.47 tff(22493,plain,
% 73.60/46.47 (nextState(constB151, constB152) <=> nextState(constB151, constB152)),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22494,axiom,(nextState(constB151, constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_151_1')).
% 73.60/46.47 tff(22495,plain,
% 73.60/46.47 (nextState(constB151, constB152)),
% 73.60/46.47 inference(modus_ponens,[status(thm)],[22494, 22493])).
% 73.60/46.47 tff(22496,plain,
% 73.60/46.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1)))),
% 73.60/46.47 inference(rewrite,[status(thm)],[])).
% 73.60/46.47 tff(22497,plain,
% 73.60/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1)))),
% 73.60/46.47 inference(quant_inst,[status(thm)],[])).
% 73.60/46.47 tff(22498,plain,
% 73.60/46.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1))),
% 73.60/46.47 inference(modus_ponens,[status(thm)],[22497, 22496])).
% 73.60/46.47 tff(22499,plain,
% 73.60/46.47 (v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1))),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22498, 588, 22495])).
% 73.60/46.47 tff(22500,plain,
% 73.60/46.47 (~v129(constB152, bitIndex1)),
% 73.60/46.47 inference(unit_resolution,[status(thm)],[22499, 22492])).
% 73.60/46.47 tff(22501,assumption,(v122(constB151)), introduced(assumption)).
% 73.60/46.48 tff(22502,plain,
% 73.60/46.48 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB151) | (~v122(constB151)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB151) | (~v122(constB151)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22503,plain,
% 73.60/46.48 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB151) | (~v122(constB151)))),
% 73.60/46.48 inference(quant_inst,[status(thm)],[])).
% 73.60/46.48 tff(22504,plain,
% 73.60/46.48 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB151) | (~v122(constB151))),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22503, 22502])).
% 73.60/46.48 tff(22505,plain,
% 73.60/46.48 (v116(constB151)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22504, 1214, 22501])).
% 73.60/46.48 tff(22506,plain,
% 73.60/46.48 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB151) | (~v116(constB151)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB151) | (~v116(constB151)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22507,plain,
% 73.60/46.48 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB151) | (~v116(constB151)))),
% 73.60/46.48 inference(quant_inst,[status(thm)],[])).
% 73.60/46.48 tff(22508,plain,
% 73.60/46.48 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB151) | (~v116(constB151))),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22507, 22506])).
% 73.60/46.48 tff(22509,plain,
% 73.60/46.48 (v115(constB151)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22508, 265, 22505])).
% 73.60/46.48 tff(22510,plain,
% 73.60/46.48 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB151)) | (~v130(constB151, bitIndex0)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22511,plain,
% 73.60/46.48 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex0)))),
% 73.60/46.48 inference(quant_inst,[status(thm)],[])).
% 73.60/46.48 tff(22512,plain,
% 73.60/46.48 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB151)) | (~v130(constB151, bitIndex0))),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22511, 22510])).
% 73.60/46.48 tff(22513,plain,
% 73.60/46.48 (~v130(constB151, bitIndex0)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22512, 1433, 22501])).
% 73.60/46.48 tff(22514,assumption,(v26(constB151)), introduced(assumption)).
% 73.60/46.48 tff(22515,plain,
% 73.60/46.48 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB151))),
% 73.60/46.48 inference(quant_inst,[status(thm)],[])).
% 73.60/46.48 tff(22516,plain,
% 73.60/46.48 ($false),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22515, 37, 22514])).
% 73.60/46.48 tff(22517,plain,(~v26(constB151)), inference(lemma,lemma(discharge,[]))).
% 73.60/46.48 tff(22518,plain,
% 73.60/46.48 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22519,plain,
% 73.60/46.48 ((v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0))) <=> ((~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22520,plain,
% 73.60/46.48 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0)))),
% 73.60/46.48 inference(monotonicity,[status(thm)],[22519])).
% 73.60/46.48 tff(22521,plain,
% 73.60/46.48 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))),
% 73.60/46.48 inference(transitivity,[status(thm)],[22520, 22518])).
% 73.60/46.48 tff(22522,plain,
% 73.60/46.48 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0)))),
% 73.60/46.48 inference(quant_inst,[status(thm)],[])).
% 73.60/46.48 tff(22523,plain,
% 73.60/46.48 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0)),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22522, 22521])).
% 73.60/46.48 tff(22524,plain,
% 73.60/46.48 ((~v127(constB151, bitIndex0)) | v130(constB151, bitIndex0)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22523, 905, 22517])).
% 73.60/46.48 tff(22525,plain,
% 73.60/46.48 (~v127(constB151, bitIndex0)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22524, 22513])).
% 73.60/46.48 tff(22526,plain,
% 73.60/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22527,plain,
% 73.60/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0)))),
% 73.60/46.48 inference(quant_inst,[status(thm)],[])).
% 73.60/46.48 tff(22528,plain,
% 73.60/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0))),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22527, 22526])).
% 73.60/46.48 tff(22529,plain,
% 73.60/46.48 (v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0))),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22528, 923, 22495])).
% 73.60/46.48 tff(22530,plain,
% 73.60/46.48 (~v129(constB152, bitIndex0)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22529, 22525])).
% 73.60/46.48 tff(22531,assumption,(v90(constB152, bitIndex0)), introduced(assumption)).
% 73.60/46.48 tff(22532,plain,
% 73.60/46.48 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22533,plain,
% 73.60/46.48 (((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0)) <=> ((~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22534,plain,
% 73.60/46.48 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152))))),
% 73.60/46.48 inference(monotonicity,[status(thm)],[22533])).
% 73.60/46.48 tff(22535,plain,
% 73.60/46.48 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))),
% 73.60/46.48 inference(transitivity,[status(thm)],[22534, 22532])).
% 73.60/46.48 tff(22536,plain,
% 73.60/46.48 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0))),
% 73.60/46.48 inference(quant_inst,[status(thm)],[])).
% 73.60/46.48 tff(22537,plain,
% 73.60/46.48 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152))),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22536, 22535])).
% 73.60/46.48 tff(22538,plain,
% 73.60/46.48 (v129(constB152, bitIndex0) | (~v100(constB152))),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22537, 938, 22531])).
% 73.60/46.48 tff(22539,plain,
% 73.60/46.48 (~v100(constB152)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22538, 22530])).
% 73.60/46.48 tff(22540,plain,
% 73.60/46.48 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22541,plain,
% 73.60/46.48 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))),
% 73.60/46.48 inference(quant_inst,[status(thm)],[])).
% 73.60/46.48 tff(22542,plain,
% 73.60/46.48 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152))),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22541, 22540])).
% 73.60/46.48 tff(22543,plain,
% 73.60/46.48 (~v104(constB152)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22542, 335, 22495, 22392])).
% 73.60/46.48 tff(22544,plain,
% 73.60/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22545,plain,
% 73.60/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))),
% 73.60/46.48 inference(quant_inst,[status(thm)],[])).
% 73.60/46.48 tff(22546,plain,
% 73.60/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v102(constB152) | v104(constB152)),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22545, 22544])).
% 73.60/46.48 tff(22547,plain,
% 73.60/46.48 (v102(constB152) | v104(constB152)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22546, 349, 22495])).
% 73.60/46.48 tff(22548,plain,
% 73.60/46.48 (v102(constB152)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22547, 22543])).
% 73.60/46.48 tff(22549,plain,
% 73.60/46.48 (v1(constB152) <=> v1(constB152)),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22550,axiom,(v1(constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_152_1')).
% 73.60/46.48 tff(22551,plain,
% 73.60/46.48 (v1(constB152)),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22550, 22549])).
% 73.60/46.48 tff(22552,plain,
% 73.60/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22553,plain,
% 73.60/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))),
% 73.60/46.48 inference(quant_inst,[status(thm)],[])).
% 73.60/46.48 tff(22554,plain,
% 73.60/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152))),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22553, 22552])).
% 73.60/46.48 tff(22555,plain,
% 73.60/46.48 (v101(constB152) | (~v102(constB152))),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22554, 367, 22495, 22551])).
% 73.60/46.48 tff(22556,plain,
% 73.60/46.48 (v101(constB152)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22555, 22548])).
% 73.60/46.48 tff(22557,plain,
% 73.60/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22558,plain,
% 73.60/46.48 (((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152)) <=> ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22559,plain,
% 73.60/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152))))),
% 73.60/46.48 inference(monotonicity,[status(thm)],[22558])).
% 73.60/46.48 tff(22560,plain,
% 73.60/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 73.60/46.48 inference(transitivity,[status(thm)],[22559, 22557])).
% 73.60/46.48 tff(22561,plain,
% 73.60/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))),
% 73.60/46.48 inference(quant_inst,[status(thm)],[])).
% 73.60/46.48 tff(22562,plain,
% 73.60/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152))),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22561, 22560])).
% 73.60/46.48 tff(22563,plain,
% 73.60/46.48 (v100(constB152) | (~v101(constB152)) | (~v110(constB152))),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22562, 382, 22495])).
% 73.60/46.48 tff(22564,plain,
% 73.60/46.48 (v100(constB152) | (~v110(constB152))),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22563, 22556])).
% 73.60/46.48 tff(22565,plain,
% 73.60/46.48 (~v110(constB152)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22564, 22539])).
% 73.60/46.48 tff(22566,plain,
% 73.60/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22567,plain,
% 73.60/46.48 (((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152)) <=> ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22568,plain,
% 73.60/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151))))),
% 73.60/46.48 inference(monotonicity,[status(thm)],[22567])).
% 73.60/46.48 tff(22569,plain,
% 73.60/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 73.60/46.48 inference(transitivity,[status(thm)],[22568, 22566])).
% 73.60/46.48 tff(22570,plain,
% 73.60/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))),
% 73.60/46.48 inference(quant_inst,[status(thm)],[])).
% 73.60/46.48 tff(22571,plain,
% 73.60/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151))),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22570, 22569])).
% 73.60/46.48 tff(22572,plain,
% 73.60/46.48 (v110(constB152) | (~v108(constB151))),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22571, 317, 22495])).
% 73.60/46.48 tff(22573,plain,
% 73.60/46.48 (~v108(constB151)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22572, 22565])).
% 73.60/46.48 tff(22574,assumption,(~v108(constB151)), introduced(assumption)).
% 73.60/46.48 tff(22575,plain,
% 73.60/46.48 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB151) | (~v112(constB151)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB151) | (~v112(constB151)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22576,plain,
% 73.60/46.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB151) | (~v112(constB151)))),
% 73.60/46.48 inference(quant_inst,[status(thm)],[])).
% 73.60/46.48 tff(22577,plain,
% 73.60/46.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB151) | (~v112(constB151))),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22576, 22575])).
% 73.60/46.48 tff(22578,plain,
% 73.60/46.48 (~v112(constB151)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22577, 210, 22574])).
% 73.60/46.48 tff(22579,plain,
% 73.60/46.48 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB151) | (~v26(constB151)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB151) | (~v26(constB151)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22580,plain,
% 73.60/46.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB151) | (~v26(constB151)))),
% 73.60/46.48 inference(quant_inst,[status(thm)],[])).
% 73.60/46.48 tff(22581,plain,
% 73.60/46.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB151) | (~v26(constB151))),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22580, 22579])).
% 73.60/46.48 tff(22582,plain,
% 73.60/46.48 (~v26(constB151)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22581, 221, 22574])).
% 73.60/46.48 tff(22583,assumption,(v113(constB151)), introduced(assumption)).
% 73.60/46.48 tff(22584,plain,
% 73.60/46.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | v112(constB151) | (~v113(constB151)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | v112(constB151) | (~v113(constB151)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22585,plain,
% 73.60/46.48 ((v26(constB151) | (~v113(constB151)) | v112(constB151)) <=> (v26(constB151) | v112(constB151) | (~v113(constB151)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22586,plain,
% 73.60/46.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | v112(constB151) | (~v113(constB151))))),
% 73.60/46.48 inference(monotonicity,[status(thm)],[22585])).
% 73.60/46.48 tff(22587,plain,
% 73.60/46.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | v112(constB151) | (~v113(constB151)))),
% 73.60/46.48 inference(transitivity,[status(thm)],[22586, 22584])).
% 73.60/46.48 tff(22588,plain,
% 73.60/46.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))),
% 73.60/46.48 inference(quant_inst,[status(thm)],[])).
% 73.60/46.48 tff(22589,plain,
% 73.60/46.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | v112(constB151) | (~v113(constB151))),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22588, 22587])).
% 73.60/46.48 tff(22590,plain,
% 73.60/46.48 (v26(constB151) | v112(constB151)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22589, 301, 22583])).
% 73.60/46.48 tff(22591,plain,
% 73.60/46.48 ($false),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22590, 22582, 22578])).
% 73.60/46.48 tff(22592,plain,(v108(constB151) | (~v113(constB151))), inference(lemma,lemma(discharge,[]))).
% 73.60/46.48 tff(22593,plain,
% 73.60/46.48 (~v113(constB151)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22592, 22573])).
% 73.60/46.48 tff(22594,plain,
% 73.60/46.48 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB151) | (~v114(constB151)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB151) | (~v114(constB151)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22595,plain,
% 73.60/46.48 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB151) | (~v114(constB151)))),
% 73.60/46.48 inference(quant_inst,[status(thm)],[])).
% 73.60/46.48 tff(22596,plain,
% 73.60/46.48 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB151) | (~v114(constB151))),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22595, 22594])).
% 73.60/46.48 tff(22597,plain,
% 73.60/46.48 (~v114(constB151)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22596, 287, 22593])).
% 73.60/46.48 tff(22598,plain,
% 73.60/46.48 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB151) | (~v115(constB151)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB151) | (~v115(constB151)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22599,plain,
% 73.60/46.48 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB151) | (~v115(constB151)))),
% 73.60/46.48 inference(quant_inst,[status(thm)],[])).
% 73.60/46.48 tff(22600,plain,
% 73.60/46.48 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB151) | (~v115(constB151))),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22599, 22598])).
% 73.60/46.48 tff(22601,plain,
% 73.60/46.48 ($false),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22600, 276, 22597, 22509])).
% 73.60/46.48 tff(22602,plain,((~v122(constB151)) | (~v90(constB152, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 73.60/46.48 tff(22603,plain,
% 73.60/46.48 (~v90(constB152, bitIndex0)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22602, 22472])).
% 73.60/46.48 tff(22604,plain,
% 73.60/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB151, bitIndex0)) | (~nextState(constB151, constB152)) | v100(constB152) | v90(constB152, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB151, bitIndex0)) | (~nextState(constB151, constB152)) | v100(constB152) | v90(constB152, bitIndex0))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22605,plain,
% 73.60/46.48 (((~nextState(constB151, constB152)) | (~v90(constB151, bitIndex0)) | v100(constB152) | v90(constB152, bitIndex0)) <=> ((~v90(constB151, bitIndex0)) | (~nextState(constB151, constB152)) | v100(constB152) | v90(constB152, bitIndex0))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22606,plain,
% 73.60/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB151, constB152)) | (~v90(constB151, bitIndex0)) | v100(constB152) | v90(constB152, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB151, bitIndex0)) | (~nextState(constB151, constB152)) | v100(constB152) | v90(constB152, bitIndex0)))),
% 73.60/46.48 inference(monotonicity,[status(thm)],[22605])).
% 73.60/46.48 tff(22607,plain,
% 73.60/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB151, constB152)) | (~v90(constB151, bitIndex0)) | v100(constB152) | v90(constB152, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB151, bitIndex0)) | (~nextState(constB151, constB152)) | v100(constB152) | v90(constB152, bitIndex0))),
% 73.60/46.48 inference(transitivity,[status(thm)],[22606, 22604])).
% 73.60/46.48 tff(22608,plain,
% 73.60/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB151, constB152)) | (~v90(constB151, bitIndex0)) | v100(constB152) | v90(constB152, bitIndex0))),
% 73.60/46.48 inference(quant_inst,[status(thm)],[])).
% 73.60/46.48 tff(22609,plain,
% 73.60/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB151, bitIndex0)) | (~nextState(constB151, constB152)) | v100(constB152) | v90(constB152, bitIndex0)),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22608, 22607])).
% 73.60/46.48 tff(22610,plain,
% 73.60/46.48 ((~v90(constB151, bitIndex0)) | v100(constB152) | v90(constB152, bitIndex0)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22609, 437, 22495])).
% 73.60/46.48 tff(22611,plain,
% 73.60/46.48 (v100(constB152)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22610, 22603, 22467])).
% 73.60/46.48 tff(22612,plain,
% 73.60/46.48 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22613,plain,
% 73.60/46.48 (((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1)) <=> ((~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22614,plain,
% 73.60/46.48 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152))))),
% 73.60/46.48 inference(monotonicity,[status(thm)],[22613])).
% 73.60/46.48 tff(22615,plain,
% 73.60/46.48 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))),
% 73.60/46.48 inference(transitivity,[status(thm)],[22614, 22612])).
% 73.60/46.48 tff(22616,plain,
% 73.60/46.48 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1))),
% 73.60/46.48 inference(quant_inst,[status(thm)],[])).
% 73.60/46.48 tff(22617,plain,
% 73.60/46.48 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152))),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22616, 22615])).
% 73.60/46.48 tff(22618,plain,
% 73.60/46.48 ((~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22617, 603, 22611])).
% 73.60/46.48 tff(22619,plain,
% 73.60/46.48 (~v90(constB152, bitIndex1)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22618, 22500])).
% 73.60/46.48 tff(22620,plain,
% 73.60/46.48 ((~v1(constB153)) <=> (~v1(constB153))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22621,axiom,(~v1(constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_153_1_1')).
% 73.60/46.48 tff(22622,plain,
% 73.60/46.48 (~v1(constB153)),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22621, 22620])).
% 73.60/46.48 tff(22623,plain,
% 73.60/46.48 (nextState(constB152, constB153) <=> nextState(constB152, constB153)),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22624,axiom,(nextState(constB152, constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_152_1')).
% 73.60/46.48 tff(22625,plain,
% 73.60/46.48 (nextState(constB152, constB153)),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22624, 22623])).
% 73.60/46.48 tff(22626,plain,
% 73.60/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22627,plain,
% 73.60/46.48 (((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153)) <=> (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22628,plain,
% 73.60/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153))))),
% 73.60/46.48 inference(monotonicity,[status(thm)],[22627])).
% 73.60/46.48 tff(22629,plain,
% 73.60/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 73.60/46.48 inference(transitivity,[status(thm)],[22628, 22626])).
% 73.60/46.48 tff(22630,plain,
% 73.60/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))),
% 73.60/46.48 inference(quant_inst,[status(thm)],[])).
% 73.60/46.48 tff(22631,plain,
% 73.60/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153))),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22630, 22629])).
% 73.60/46.48 tff(22632,plain,
% 73.60/46.48 (~v101(constB153)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22631, 56, 22625, 22622])).
% 73.60/46.48 tff(22633,plain,
% 73.60/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22634,plain,
% 73.60/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))),
% 73.60/46.48 inference(quant_inst,[status(thm)],[])).
% 73.60/46.48 tff(22635,plain,
% 73.60/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153))),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22634, 22633])).
% 73.60/46.48 tff(22636,plain,
% 73.60/46.48 (v101(constB153) | (~v100(constB153))),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22635, 73, 22625])).
% 73.60/46.48 tff(22637,plain,
% 73.60/46.48 (~v100(constB153)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22636, 22632])).
% 73.60/46.48 tff(22638,plain,
% 73.60/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22639,plain,
% 73.60/46.48 (((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1))) <=> (v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22640,plain,
% 73.60/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1))))),
% 73.60/46.48 inference(monotonicity,[status(thm)],[22639])).
% 73.60/46.48 tff(22641,plain,
% 73.60/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 73.60/46.48 inference(transitivity,[status(thm)],[22640, 22638])).
% 73.60/46.48 tff(22642,plain,
% 73.60/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 73.60/46.48 inference(quant_inst,[status(thm)],[])).
% 73.60/46.48 tff(22643,plain,
% 73.60/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1))),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22642, 22641])).
% 73.60/46.48 tff(22644,plain,
% 73.60/46.48 (v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1))),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22643, 109, 22625])).
% 73.60/46.48 tff(22645,plain,
% 73.60/46.48 (v90(constB152, bitIndex1) | (~v90(constB153, bitIndex1))),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22644, 22637])).
% 73.60/46.48 tff(22646,plain,
% 73.60/46.48 (~v90(constB153, bitIndex1)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22645, 22619])).
% 73.60/46.48 tff(22647,plain,
% 73.60/46.48 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB151)) | v130(constB151, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB151)) | v130(constB151, bitIndex2))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22648,plain,
% 73.60/46.48 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB151)) | v130(constB151, bitIndex2))),
% 73.60/46.48 inference(quant_inst,[status(thm)],[])).
% 73.60/46.48 tff(22649,plain,
% 73.60/46.48 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB151)) | v130(constB151, bitIndex2)),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22648, 22647])).
% 73.60/46.48 tff(22650,plain,
% 73.60/46.48 (v130(constB151, bitIndex2)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22649, 1290, 22472])).
% 73.60/46.48 tff(22651,plain,
% 73.60/46.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22652,plain,
% 73.60/46.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2))),
% 73.60/46.48 inference(quant_inst,[status(thm)],[])).
% 73.60/46.48 tff(22653,plain,
% 73.60/46.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2)),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22652, 22651])).
% 73.60/46.48 tff(22654,plain,
% 73.60/46.48 ((~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22653, 1304, 22517])).
% 73.60/46.48 tff(22655,plain,
% 73.60/46.48 (v127(constB151, bitIndex2)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22654, 22650])).
% 73.60/46.48 tff(22656,plain,
% 73.60/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22657,plain,
% 73.60/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2))),
% 73.60/46.48 inference(quant_inst,[status(thm)],[])).
% 73.60/46.48 tff(22658,plain,
% 73.60/46.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2)),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22657, 22656])).
% 73.60/46.48 tff(22659,plain,
% 73.60/46.48 ((~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22658, 1319, 22495])).
% 73.60/46.48 tff(22660,plain,
% 73.60/46.48 (v129(constB152, bitIndex2)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22659, 22655])).
% 73.60/46.48 tff(22661,plain,
% 73.60/46.48 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22662,plain,
% 73.60/46.48 ((v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2))) <=> (v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))),
% 73.60/46.48 inference(rewrite,[status(thm)],[])).
% 73.60/46.48 tff(22663,plain,
% 73.60/46.48 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152))))),
% 73.60/46.48 inference(monotonicity,[status(thm)],[22662])).
% 73.60/46.48 tff(22664,plain,
% 73.60/46.48 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))),
% 73.60/46.48 inference(transitivity,[status(thm)],[22663, 22661])).
% 73.60/46.48 tff(22665,plain,
% 73.60/46.48 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2)))),
% 73.60/46.48 inference(quant_inst,[status(thm)],[])).
% 73.60/46.48 tff(22666,plain,
% 73.60/46.48 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152))),
% 73.60/46.48 inference(modus_ponens,[status(thm)],[22665, 22664])).
% 73.60/46.48 tff(22667,plain,
% 73.60/46.48 (v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2))),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22666, 1334, 22611])).
% 73.60/46.48 tff(22668,plain,
% 73.60/46.48 (v90(constB152, bitIndex2)),
% 73.60/46.48 inference(unit_resolution,[status(thm)],[22667, 22660])).
% 73.60/46.48 tff(22669,plain,
% 73.60/46.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))),
% 73.60/46.49 inference(rewrite,[status(thm)],[])).
% 73.60/46.49 tff(22670,plain,
% 73.60/46.49 (((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2)) <=> ((~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))),
% 73.60/46.49 inference(rewrite,[status(thm)],[])).
% 73.60/46.49 tff(22671,plain,
% 73.60/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2)))),
% 73.60/46.49 inference(monotonicity,[status(thm)],[22670])).
% 73.60/46.49 tff(22672,plain,
% 73.60/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))),
% 73.60/46.49 inference(transitivity,[status(thm)],[22671, 22669])).
% 73.60/46.49 tff(22673,plain,
% 73.60/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2))),
% 73.60/46.49 inference(quant_inst,[status(thm)],[])).
% 73.60/46.49 tff(22674,plain,
% 73.60/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2)),
% 73.60/46.49 inference(modus_ponens,[status(thm)],[22673, 22672])).
% 73.60/46.49 tff(22675,plain,
% 73.60/46.49 ((~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2)),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22674, 1370, 22625])).
% 73.60/46.49 tff(22676,plain,
% 73.60/46.49 ((~v90(constB152, bitIndex2)) | v90(constB153, bitIndex2)),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22675, 22637])).
% 73.60/46.49 tff(22677,plain,
% 73.60/46.49 (v90(constB153, bitIndex2)),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22676, 22668])).
% 73.60/46.49 tff(22678,plain,
% 73.60/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 73.60/46.49 inference(rewrite,[status(thm)],[])).
% 73.60/46.49 tff(22679,plain,
% 73.60/46.49 (((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0))) <=> (v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 73.60/46.49 inference(rewrite,[status(thm)],[])).
% 73.60/46.49 tff(22680,plain,
% 73.60/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0))))),
% 73.60/46.49 inference(monotonicity,[status(thm)],[22679])).
% 73.60/46.49 tff(22681,plain,
% 73.60/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 73.60/46.49 inference(transitivity,[status(thm)],[22680, 22678])).
% 73.60/46.49 tff(22682,plain,
% 73.60/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 73.60/46.49 inference(quant_inst,[status(thm)],[])).
% 73.60/46.49 tff(22683,plain,
% 73.60/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0))),
% 73.60/46.49 inference(modus_ponens,[status(thm)],[22682, 22681])).
% 73.60/46.49 tff(22684,plain,
% 73.60/46.49 (v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0))),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22683, 130, 22625])).
% 73.60/46.49 tff(22685,plain,
% 73.60/46.49 (v90(constB152, bitIndex0) | (~v90(constB153, bitIndex0))),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22684, 22637])).
% 73.60/46.49 tff(22686,plain,
% 73.60/46.49 (~v90(constB153, bitIndex0)),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22685, 22603])).
% 73.60/46.49 tff(22687,plain,
% 73.60/46.49 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153))),
% 73.60/46.49 inference(rewrite,[status(thm)],[])).
% 73.60/46.49 tff(22688,plain,
% 73.60/46.49 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153))),
% 73.60/46.49 inference(quant_inst,[status(thm)],[])).
% 73.60/46.49 tff(22689,plain,
% 73.60/46.49 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153)),
% 73.60/46.49 inference(modus_ponens,[status(thm)],[22688, 22687])).
% 73.60/46.49 tff(22690,plain,
% 73.60/46.49 (v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153)),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22689, 1477, 22686])).
% 73.60/46.49 tff(22691,plain,
% 73.60/46.49 (v123(constB153)),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22690, 22677, 22646])).
% 73.60/46.49 tff(22692,plain,
% 73.60/46.49 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB153)) | (~v130(constB153, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB153)) | (~v130(constB153, bitIndex1)))),
% 73.60/46.49 inference(rewrite,[status(thm)],[])).
% 73.60/46.49 tff(22693,plain,
% 73.60/46.49 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB153)) | (~v130(constB153, bitIndex1)))),
% 73.60/46.49 inference(quant_inst,[status(thm)],[])).
% 73.60/46.49 tff(22694,plain,
% 73.60/46.49 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB153)) | (~v130(constB153, bitIndex1))),
% 73.60/46.49 inference(modus_ponens,[status(thm)],[22693, 22692])).
% 73.60/46.49 tff(22695,plain,
% 73.60/46.49 (~v130(constB153, bitIndex1)),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22694, 1622, 22691])).
% 73.60/46.49 tff(22696,assumption,(v26(constB153)), introduced(assumption)).
% 73.60/46.49 tff(22697,plain,
% 73.60/46.49 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB153))),
% 73.60/46.49 inference(quant_inst,[status(thm)],[])).
% 73.60/46.49 tff(22698,plain,
% 73.60/46.49 ($false),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22697, 37, 22696])).
% 73.60/46.49 tff(22699,plain,(~v26(constB153)), inference(lemma,lemma(discharge,[]))).
% 73.60/46.49 tff(22700,plain,
% 73.60/46.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1))),
% 73.60/46.49 inference(rewrite,[status(thm)],[])).
% 73.60/46.49 tff(22701,plain,
% 73.60/46.49 ((v26(constB153) | v130(constB153, bitIndex1) | (~v127(constB153, bitIndex1))) <=> ((~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1))),
% 73.60/46.49 inference(rewrite,[status(thm)],[])).
% 73.60/46.49 tff(22702,plain,
% 73.60/46.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB153) | v130(constB153, bitIndex1) | (~v127(constB153, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1)))),
% 73.60/46.49 inference(monotonicity,[status(thm)],[22701])).
% 73.60/46.49 tff(22703,plain,
% 73.60/46.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB153) | v130(constB153, bitIndex1) | (~v127(constB153, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1))),
% 73.60/46.49 inference(transitivity,[status(thm)],[22702, 22700])).
% 73.60/46.49 tff(22704,plain,
% 73.60/46.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB153) | v130(constB153, bitIndex1) | (~v127(constB153, bitIndex1)))),
% 73.60/46.49 inference(quant_inst,[status(thm)],[])).
% 73.60/46.49 tff(22705,plain,
% 73.60/46.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB153, bitIndex1)) | v26(constB153) | v130(constB153, bitIndex1)),
% 73.60/46.49 inference(modus_ponens,[status(thm)],[22704, 22703])).
% 73.60/46.49 tff(22706,plain,
% 73.60/46.49 ((~v127(constB153, bitIndex1)) | v130(constB153, bitIndex1)),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22705, 555, 22699])).
% 73.60/46.49 tff(22707,plain,
% 73.60/46.49 (~v127(constB153, bitIndex1)),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22706, 22695])).
% 73.60/46.49 tff(22708,plain,
% 73.60/46.49 (nextState(constB153, constB154) <=> nextState(constB153, constB154)),
% 73.60/46.49 inference(rewrite,[status(thm)],[])).
% 73.60/46.49 tff(22709,axiom,(nextState(constB153, constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_153_1')).
% 73.60/46.49 tff(22710,plain,
% 73.60/46.49 (nextState(constB153, constB154)),
% 73.60/46.49 inference(modus_ponens,[status(thm)],[22709, 22708])).
% 73.60/46.49 tff(22711,plain,
% 73.60/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB153, constB154)) | v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB153, constB154)) | v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1)))),
% 73.60/46.49 inference(rewrite,[status(thm)],[])).
% 73.60/46.49 tff(22712,plain,
% 73.60/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB153, constB154)) | v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1)))),
% 73.60/46.49 inference(quant_inst,[status(thm)],[])).
% 73.60/46.49 tff(22713,plain,
% 73.60/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB153, constB154)) | v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1))),
% 73.60/46.49 inference(modus_ponens,[status(thm)],[22712, 22711])).
% 73.60/46.49 tff(22714,plain,
% 73.60/46.49 (v127(constB153, bitIndex1) | (~v129(constB154, bitIndex1))),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22713, 588, 22710])).
% 73.60/46.49 tff(22715,plain,
% 73.60/46.49 (~v129(constB154, bitIndex1)),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22714, 22707])).
% 73.60/46.49 tff(22716,assumption,(v123(constB153)), introduced(assumption)).
% 73.60/46.49 tff(22717,plain,
% 73.60/46.49 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB153) | (~v123(constB153)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB153) | (~v123(constB153)))),
% 73.60/46.49 inference(rewrite,[status(thm)],[])).
% 73.60/46.49 tff(22718,plain,
% 73.60/46.49 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB153) | (~v123(constB153)))),
% 73.60/46.49 inference(quant_inst,[status(thm)],[])).
% 73.60/46.49 tff(22719,plain,
% 73.60/46.49 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB153) | (~v123(constB153))),
% 73.60/46.49 inference(modus_ponens,[status(thm)],[22718, 22717])).
% 73.60/46.49 tff(22720,plain,
% 73.60/46.49 (v115(constB153)),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22719, 1488, 22716])).
% 73.60/46.49 tff(22721,plain,
% 73.60/46.49 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB153) | (~v115(constB153)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB153) | (~v115(constB153)))),
% 73.60/46.49 inference(rewrite,[status(thm)],[])).
% 73.60/46.49 tff(22722,plain,
% 73.60/46.49 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB153) | (~v115(constB153)))),
% 73.60/46.49 inference(quant_inst,[status(thm)],[])).
% 73.60/46.49 tff(22723,plain,
% 73.60/46.49 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB153) | (~v115(constB153))),
% 73.60/46.49 inference(modus_ponens,[status(thm)],[22722, 22721])).
% 73.60/46.49 tff(22724,plain,
% 73.60/46.49 (v114(constB153)),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22723, 276, 22720])).
% 73.60/46.49 tff(22725,plain,
% 73.60/46.49 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB153)) | v130(constB153, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB153)) | v130(constB153, bitIndex0))),
% 73.60/46.49 inference(rewrite,[status(thm)],[])).
% 73.60/46.49 tff(22726,plain,
% 73.60/46.49 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB153)) | v130(constB153, bitIndex0))),
% 73.60/46.49 inference(quant_inst,[status(thm)],[])).
% 73.60/46.49 tff(22727,plain,
% 73.60/46.49 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB153)) | v130(constB153, bitIndex0)),
% 73.60/46.49 inference(modus_ponens,[status(thm)],[22726, 22725])).
% 73.60/46.49 tff(22728,plain,
% 73.60/46.49 (v130(constB153, bitIndex0)),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22727, 1666, 22716])).
% 73.60/46.49 tff(22729,plain,
% 73.60/46.49 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB153) | (~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB153) | (~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0))),
% 73.60/46.49 inference(rewrite,[status(thm)],[])).
% 73.60/46.49 tff(22730,plain,
% 73.60/46.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB153) | (~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0))),
% 73.60/46.49 inference(quant_inst,[status(thm)],[])).
% 73.60/46.49 tff(22731,plain,
% 73.60/46.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB153) | (~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0)),
% 73.60/46.49 inference(modus_ponens,[status(thm)],[22730, 22729])).
% 73.60/46.49 tff(22732,plain,
% 73.60/46.49 ((~v130(constB153, bitIndex0)) | v127(constB153, bitIndex0)),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22731, 179, 22699])).
% 73.60/46.49 tff(22733,plain,
% 73.60/46.49 (v127(constB153, bitIndex0)),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22732, 22728])).
% 73.60/46.49 tff(22734,plain,
% 73.60/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0))),
% 73.60/46.49 inference(rewrite,[status(thm)],[])).
% 73.60/46.49 tff(22735,plain,
% 73.60/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0))),
% 73.60/46.49 inference(quant_inst,[status(thm)],[])).
% 73.60/46.49 tff(22736,plain,
% 73.60/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0)),
% 73.60/46.49 inference(modus_ponens,[status(thm)],[22735, 22734])).
% 73.60/46.49 tff(22737,plain,
% 73.60/46.49 ((~v127(constB153, bitIndex0)) | v129(constB154, bitIndex0)),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22736, 197, 22710])).
% 73.60/46.49 tff(22738,plain,
% 73.60/46.49 (v129(constB154, bitIndex0)),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22737, 22733])).
% 73.60/46.49 tff(22739,assumption,(~v90(constB154, bitIndex0)), introduced(assumption)).
% 73.60/46.49 tff(22740,plain,
% 73.60/46.49 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154)))),
% 73.60/46.49 inference(rewrite,[status(thm)],[])).
% 73.60/46.49 tff(22741,plain,
% 73.60/46.49 ((v90(constB154, bitIndex0) | (~v100(constB154)) | (~v129(constB154, bitIndex0))) <=> (v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154)))),
% 73.60/46.49 inference(rewrite,[status(thm)],[])).
% 73.60/46.49 tff(22742,plain,
% 73.60/46.49 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~v100(constB154)) | (~v129(constB154, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154))))),
% 73.60/46.49 inference(monotonicity,[status(thm)],[22741])).
% 73.60/46.49 tff(22743,plain,
% 73.60/46.49 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~v100(constB154)) | (~v129(constB154, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154)))),
% 73.60/46.49 inference(transitivity,[status(thm)],[22742, 22740])).
% 73.60/46.49 tff(22744,plain,
% 73.60/46.49 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB154, bitIndex0) | (~v100(constB154)) | (~v129(constB154, bitIndex0)))),
% 73.60/46.49 inference(quant_inst,[status(thm)],[])).
% 73.60/46.49 tff(22745,plain,
% 73.60/46.49 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0)) | (~v100(constB154))),
% 73.60/46.49 inference(modus_ponens,[status(thm)],[22744, 22743])).
% 73.60/46.49 tff(22746,plain,
% 73.60/46.49 ((~v129(constB154, bitIndex0)) | (~v100(constB154))),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22745, 401, 22739])).
% 73.60/46.49 tff(22747,plain,
% 73.60/46.49 (~v100(constB154)),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22746, 22738])).
% 73.60/46.49 tff(22748,plain,
% 73.60/46.49 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))),
% 73.60/46.49 inference(rewrite,[status(thm)],[])).
% 73.60/46.49 tff(22749,plain,
% 73.60/46.49 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))),
% 73.60/46.49 inference(quant_inst,[status(thm)],[])).
% 73.60/46.49 tff(22750,plain,
% 73.60/46.49 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154))),
% 73.60/46.49 inference(modus_ponens,[status(thm)],[22749, 22748])).
% 73.60/46.49 tff(22751,plain,
% 73.60/46.49 (~v104(constB154)),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22750, 335, 22710, 22622])).
% 73.60/46.49 tff(22752,plain,
% 73.60/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))),
% 73.60/46.49 inference(rewrite,[status(thm)],[])).
% 73.60/46.49 tff(22753,plain,
% 73.60/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))),
% 73.60/46.49 inference(quant_inst,[status(thm)],[])).
% 73.60/46.49 tff(22754,plain,
% 73.60/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v102(constB154) | v104(constB154)),
% 73.60/46.49 inference(modus_ponens,[status(thm)],[22753, 22752])).
% 73.60/46.49 tff(22755,plain,
% 73.60/46.49 (v102(constB154) | v104(constB154)),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22754, 349, 22710])).
% 73.60/46.49 tff(22756,plain,
% 73.60/46.49 (v102(constB154)),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22755, 22751])).
% 73.60/46.49 tff(22757,plain,
% 73.60/46.49 (v1(constB154) <=> v1(constB154)),
% 73.60/46.49 inference(rewrite,[status(thm)],[])).
% 73.60/46.49 tff(22758,axiom,(v1(constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_154_1')).
% 73.60/46.49 tff(22759,plain,
% 73.60/46.49 (v1(constB154)),
% 73.60/46.49 inference(modus_ponens,[status(thm)],[22758, 22757])).
% 73.60/46.49 tff(22760,plain,
% 73.60/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))),
% 73.60/46.49 inference(rewrite,[status(thm)],[])).
% 73.60/46.49 tff(22761,plain,
% 73.60/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))),
% 73.60/46.49 inference(quant_inst,[status(thm)],[])).
% 73.60/46.49 tff(22762,plain,
% 73.60/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154))),
% 73.60/46.49 inference(modus_ponens,[status(thm)],[22761, 22760])).
% 73.60/46.49 tff(22763,plain,
% 73.60/46.49 (v101(constB154) | (~v102(constB154))),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22762, 367, 22710, 22759])).
% 73.60/46.49 tff(22764,plain,
% 73.60/46.49 (v101(constB154)),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22763, 22756])).
% 73.60/46.49 tff(22765,plain,
% 73.60/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 73.60/46.49 inference(rewrite,[status(thm)],[])).
% 73.60/46.49 tff(22766,plain,
% 73.60/46.49 (((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154)) <=> ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 73.60/46.49 inference(rewrite,[status(thm)],[])).
% 73.60/46.49 tff(22767,plain,
% 73.60/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154))))),
% 73.60/46.49 inference(monotonicity,[status(thm)],[22766])).
% 73.60/46.49 tff(22768,plain,
% 73.60/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 73.60/46.49 inference(transitivity,[status(thm)],[22767, 22765])).
% 73.60/46.49 tff(22769,plain,
% 73.60/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))),
% 73.60/46.49 inference(quant_inst,[status(thm)],[])).
% 73.60/46.49 tff(22770,plain,
% 73.60/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154))),
% 73.60/46.49 inference(modus_ponens,[status(thm)],[22769, 22768])).
% 73.60/46.49 tff(22771,plain,
% 73.60/46.49 (v100(constB154) | (~v101(constB154)) | (~v110(constB154))),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22770, 382, 22710])).
% 73.60/46.49 tff(22772,plain,
% 73.60/46.49 (v100(constB154) | (~v110(constB154))),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22771, 22764])).
% 73.60/46.49 tff(22773,plain,
% 73.60/46.49 (~v110(constB154)),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22772, 22747])).
% 73.60/46.49 tff(22774,plain,
% 73.60/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 73.60/46.49 inference(rewrite,[status(thm)],[])).
% 73.60/46.49 tff(22775,plain,
% 73.60/46.49 (((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154)) <=> ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 73.60/46.49 inference(rewrite,[status(thm)],[])).
% 73.60/46.49 tff(22776,plain,
% 73.60/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153))))),
% 73.60/46.49 inference(monotonicity,[status(thm)],[22775])).
% 73.60/46.49 tff(22777,plain,
% 73.60/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 73.60/46.49 inference(transitivity,[status(thm)],[22776, 22774])).
% 73.60/46.49 tff(22778,plain,
% 73.60/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))),
% 73.60/46.49 inference(quant_inst,[status(thm)],[])).
% 73.60/46.49 tff(22779,plain,
% 73.60/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153))),
% 73.60/46.49 inference(modus_ponens,[status(thm)],[22778, 22777])).
% 73.60/46.49 tff(22780,plain,
% 73.60/46.49 (v110(constB154) | (~v108(constB153))),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22779, 317, 22710])).
% 73.60/46.49 tff(22781,plain,
% 73.60/46.49 (~v108(constB153)),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22780, 22773])).
% 73.60/46.49 tff(22782,plain,
% 73.60/46.49 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB153) | (~v112(constB153)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB153) | (~v112(constB153)))),
% 73.60/46.49 inference(rewrite,[status(thm)],[])).
% 73.60/46.49 tff(22783,plain,
% 73.60/46.49 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB153) | (~v112(constB153)))),
% 73.60/46.49 inference(quant_inst,[status(thm)],[])).
% 73.60/46.49 tff(22784,plain,
% 73.60/46.49 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB153) | (~v112(constB153))),
% 73.60/46.49 inference(modus_ponens,[status(thm)],[22783, 22782])).
% 73.60/46.49 tff(22785,plain,
% 73.60/46.49 (~v112(constB153)),
% 73.60/46.49 inference(unit_resolution,[status(thm)],[22784, 210, 22781])).
% 73.60/46.49 tff(22786,plain,
% 73.60/46.49 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | (~v113(constB153)) | v112(constB153))),
% 73.67/46.49 inference(rewrite,[status(thm)],[])).
% 73.67/46.49 tff(22787,plain,
% 73.67/46.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))),
% 73.67/46.49 inference(quant_inst,[status(thm)],[])).
% 73.67/46.49 tff(22788,plain,
% 73.67/46.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | (~v113(constB153)) | v112(constB153)),
% 73.67/46.49 inference(modus_ponens,[status(thm)],[22787, 22786])).
% 73.67/46.49 tff(22789,plain,
% 73.67/46.49 ((~v113(constB153)) | v112(constB153)),
% 73.67/46.49 inference(unit_resolution,[status(thm)],[22788, 301, 22699])).
% 73.67/46.49 tff(22790,plain,
% 73.67/46.49 (~v113(constB153)),
% 73.67/46.49 inference(unit_resolution,[status(thm)],[22789, 22785])).
% 73.67/46.49 tff(22791,plain,
% 73.67/46.49 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB153) | (~v114(constB153)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB153) | (~v114(constB153)))),
% 73.67/46.49 inference(rewrite,[status(thm)],[])).
% 73.67/46.49 tff(22792,plain,
% 73.67/46.49 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB153) | (~v114(constB153)))),
% 73.67/46.49 inference(quant_inst,[status(thm)],[])).
% 73.67/46.49 tff(22793,plain,
% 73.67/46.49 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB153) | (~v114(constB153))),
% 73.67/46.49 inference(modus_ponens,[status(thm)],[22792, 22791])).
% 73.67/46.49 tff(22794,plain,
% 73.67/46.49 ($false),
% 73.67/46.49 inference(unit_resolution,[status(thm)],[22793, 287, 22790, 22724])).
% 73.67/46.49 tff(22795,plain,((~v123(constB153)) | v90(constB154, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.67/46.49 tff(22796,plain,
% 73.67/46.49 (v90(constB154, bitIndex0)),
% 73.67/46.49 inference(unit_resolution,[status(thm)],[22795, 22691])).
% 73.67/46.49 tff(22797,plain,
% 73.67/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB153, bitIndex0) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB153, bitIndex0) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex0)))),
% 73.67/46.49 inference(rewrite,[status(thm)],[])).
% 73.67/46.49 tff(22798,plain,
% 73.67/46.49 (((~nextState(constB153, constB154)) | v90(constB153, bitIndex0) | v100(constB154) | (~v90(constB154, bitIndex0))) <=> (v90(constB153, bitIndex0) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex0)))),
% 73.67/46.49 inference(rewrite,[status(thm)],[])).
% 73.67/46.49 tff(22799,plain,
% 73.67/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB153, constB154)) | v90(constB153, bitIndex0) | v100(constB154) | (~v90(constB154, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB153, bitIndex0) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex0))))),
% 73.67/46.49 inference(monotonicity,[status(thm)],[22798])).
% 73.67/46.49 tff(22800,plain,
% 73.67/46.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB153, constB154)) | v90(constB153, bitIndex0) | v100(constB154) | (~v90(constB154, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB153, bitIndex0) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex0)))),
% 73.67/46.49 inference(transitivity,[status(thm)],[22799, 22797])).
% 73.67/46.49 tff(22801,plain,
% 73.67/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB153, constB154)) | v90(constB153, bitIndex0) | v100(constB154) | (~v90(constB154, bitIndex0)))),
% 73.67/46.49 inference(quant_inst,[status(thm)],[])).
% 73.67/46.49 tff(22802,plain,
% 73.67/46.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB153, bitIndex0) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, bitIndex0))),
% 73.67/46.49 inference(modus_ponens,[status(thm)],[22801, 22800])).
% 73.67/46.49 tff(22803,plain,
% 73.67/46.49 (v90(constB153, bitIndex0) | v100(constB154) | (~v90(constB154, bitIndex0))),
% 73.67/46.49 inference(unit_resolution,[status(thm)],[22802, 130, 22710])).
% 73.67/46.49 tff(22804,plain,
% 73.67/46.49 (v100(constB154)),
% 73.67/46.49 inference(unit_resolution,[status(thm)],[22803, 22796, 22686])).
% 73.67/46.49 tff(22805,plain,
% 73.67/46.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154)))),
% 73.67/46.49 inference(rewrite,[status(thm)],[])).
% 73.67/46.49 tff(22806,plain,
% 73.67/46.49 (((~v90(constB154, bitIndex1)) | (~v100(constB154)) | v129(constB154, bitIndex1)) <=> ((~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154)))),
% 73.67/46.49 inference(rewrite,[status(thm)],[])).
% 73.67/46.49 tff(22807,plain,
% 73.67/46.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | (~v100(constB154)) | v129(constB154, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154))))),
% 73.67/46.49 inference(monotonicity,[status(thm)],[22806])).
% 73.67/46.49 tff(22808,plain,
% 73.67/46.49 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | (~v100(constB154)) | v129(constB154, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154)))),
% 73.67/46.49 inference(transitivity,[status(thm)],[22807, 22805])).
% 73.67/46.49 tff(22809,plain,
% 73.67/46.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB154, bitIndex1)) | (~v100(constB154)) | v129(constB154, bitIndex1))),
% 73.67/46.49 inference(quant_inst,[status(thm)],[])).
% 73.67/46.49 tff(22810,plain,
% 73.67/46.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1) | (~v100(constB154))),
% 73.67/46.49 inference(modus_ponens,[status(thm)],[22809, 22808])).
% 73.67/46.49 tff(22811,plain,
% 73.67/46.49 ((~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1)),
% 73.67/46.49 inference(unit_resolution,[status(thm)],[22810, 603, 22804])).
% 73.67/46.49 tff(22812,plain,
% 73.67/46.49 (~v90(constB154, bitIndex1)),
% 73.67/46.49 inference(unit_resolution,[status(thm)],[22811, 22715])).
% 73.67/46.49 tff(22813,plain,
% 73.67/46.49 ((~v1(constB155)) <=> (~v1(constB155))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22814,axiom,(~v1(constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_155_1_1')).
% 73.67/46.50 tff(22815,plain,
% 73.67/46.50 (~v1(constB155)),
% 73.67/46.50 inference(modus_ponens,[status(thm)],[22814, 22813])).
% 73.67/46.50 tff(22816,plain,
% 73.67/46.50 (nextState(constB154, constB155) <=> nextState(constB154, constB155)),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22817,axiom,(nextState(constB154, constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_154_1')).
% 73.67/46.50 tff(22818,plain,
% 73.67/46.50 (nextState(constB154, constB155)),
% 73.67/46.50 inference(modus_ponens,[status(thm)],[22817, 22816])).
% 73.67/46.50 tff(22819,plain,
% 73.67/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22820,plain,
% 73.67/46.50 (((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155)) <=> (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22821,plain,
% 73.67/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155))))),
% 73.67/46.50 inference(monotonicity,[status(thm)],[22820])).
% 73.67/46.50 tff(22822,plain,
% 73.67/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 73.67/46.50 inference(transitivity,[status(thm)],[22821, 22819])).
% 73.67/46.50 tff(22823,plain,
% 73.67/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))),
% 73.67/46.50 inference(quant_inst,[status(thm)],[])).
% 73.67/46.50 tff(22824,plain,
% 73.67/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155))),
% 73.67/46.50 inference(modus_ponens,[status(thm)],[22823, 22822])).
% 73.67/46.50 tff(22825,plain,
% 73.67/46.50 (~v101(constB155)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22824, 56, 22818, 22815])).
% 73.67/46.50 tff(22826,plain,
% 73.67/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22827,plain,
% 73.67/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))),
% 73.67/46.50 inference(quant_inst,[status(thm)],[])).
% 73.67/46.50 tff(22828,plain,
% 73.67/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155))),
% 73.67/46.50 inference(modus_ponens,[status(thm)],[22827, 22826])).
% 73.67/46.50 tff(22829,plain,
% 73.67/46.50 (v101(constB155) | (~v100(constB155))),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22828, 73, 22818])).
% 73.67/46.50 tff(22830,plain,
% 73.67/46.50 (~v100(constB155)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22829, 22825])).
% 73.67/46.50 tff(22831,plain,
% 73.67/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1)))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22832,plain,
% 73.67/46.50 (((~nextState(constB154, constB155)) | v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1))) <=> (v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1)))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22833,plain,
% 73.67/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1))))),
% 73.67/46.50 inference(monotonicity,[status(thm)],[22832])).
% 73.67/46.50 tff(22834,plain,
% 73.67/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1)))),
% 73.67/46.50 inference(transitivity,[status(thm)],[22833, 22831])).
% 73.67/46.50 tff(22835,plain,
% 73.67/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB154, constB155)) | v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1)))),
% 73.67/46.50 inference(quant_inst,[status(thm)],[])).
% 73.67/46.50 tff(22836,plain,
% 73.67/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex1))),
% 73.67/46.50 inference(modus_ponens,[status(thm)],[22835, 22834])).
% 73.67/46.50 tff(22837,plain,
% 73.67/46.50 (v90(constB154, bitIndex1) | v100(constB155) | (~v90(constB155, bitIndex1))),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22836, 109, 22818])).
% 73.67/46.50 tff(22838,plain,
% 73.67/46.50 (v90(constB154, bitIndex1) | (~v90(constB155, bitIndex1))),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22837, 22830])).
% 73.67/46.50 tff(22839,plain,
% 73.67/46.50 (~v90(constB155, bitIndex1)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22838, 22812])).
% 73.67/46.50 tff(22840,plain,
% 73.67/46.50 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB153)) | v130(constB153, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB153)) | v130(constB153, bitIndex2))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22841,plain,
% 73.67/46.50 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB153)) | v130(constB153, bitIndex2))),
% 73.67/46.50 inference(quant_inst,[status(thm)],[])).
% 73.67/46.50 tff(22842,plain,
% 73.67/46.50 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB153)) | v130(constB153, bitIndex2)),
% 73.67/46.50 inference(modus_ponens,[status(thm)],[22841, 22840])).
% 73.67/46.50 tff(22843,plain,
% 73.67/46.50 (v130(constB153, bitIndex2)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22842, 1563, 22691])).
% 73.67/46.50 tff(22844,plain,
% 73.67/46.50 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22845,plain,
% 73.67/46.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2))),
% 73.67/46.50 inference(quant_inst,[status(thm)],[])).
% 73.67/46.50 tff(22846,plain,
% 73.67/46.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2)),
% 73.67/46.50 inference(modus_ponens,[status(thm)],[22845, 22844])).
% 73.67/46.50 tff(22847,plain,
% 73.67/46.50 ((~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22846, 1304, 22699])).
% 73.67/46.50 tff(22848,plain,
% 73.67/46.50 (v127(constB153, bitIndex2)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22847, 22843])).
% 73.67/46.50 tff(22849,plain,
% 73.67/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22850,plain,
% 73.67/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2))),
% 73.67/46.50 inference(quant_inst,[status(thm)],[])).
% 73.67/46.50 tff(22851,plain,
% 73.67/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2)),
% 73.67/46.50 inference(modus_ponens,[status(thm)],[22850, 22849])).
% 73.67/46.50 tff(22852,plain,
% 73.67/46.50 ((~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22851, 1319, 22710])).
% 73.67/46.50 tff(22853,plain,
% 73.67/46.50 (v129(constB154, bitIndex2)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22852, 22848])).
% 73.67/46.50 tff(22854,plain,
% 73.67/46.50 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22855,plain,
% 73.67/46.50 ((v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2))) <=> (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22856,plain,
% 73.67/46.50 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154))))),
% 73.67/46.50 inference(monotonicity,[status(thm)],[22855])).
% 73.67/46.50 tff(22857,plain,
% 73.67/46.50 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))),
% 73.67/46.50 inference(transitivity,[status(thm)],[22856, 22854])).
% 73.67/46.50 tff(22858,plain,
% 73.67/46.50 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2)))),
% 73.67/46.50 inference(quant_inst,[status(thm)],[])).
% 73.67/46.50 tff(22859,plain,
% 73.67/46.50 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154))),
% 73.67/46.50 inference(modus_ponens,[status(thm)],[22858, 22857])).
% 73.67/46.50 tff(22860,plain,
% 73.67/46.50 (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2))),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22859, 1334, 22804])).
% 73.67/46.50 tff(22861,plain,
% 73.67/46.50 (v90(constB154, bitIndex2)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22860, 22853])).
% 73.67/46.50 tff(22862,plain,
% 73.67/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22863,plain,
% 73.67/46.50 (((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2)) <=> ((~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22864,plain,
% 73.67/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2)))),
% 73.67/46.50 inference(monotonicity,[status(thm)],[22863])).
% 73.67/46.50 tff(22865,plain,
% 73.67/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))),
% 73.67/46.50 inference(transitivity,[status(thm)],[22864, 22862])).
% 73.67/46.50 tff(22866,plain,
% 73.67/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2))),
% 73.67/46.50 inference(quant_inst,[status(thm)],[])).
% 73.67/46.50 tff(22867,plain,
% 73.67/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2)),
% 73.67/46.50 inference(modus_ponens,[status(thm)],[22866, 22865])).
% 73.67/46.50 tff(22868,plain,
% 73.67/46.50 ((~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22867, 1370, 22818])).
% 73.67/46.50 tff(22869,plain,
% 73.67/46.50 ((~v90(constB154, bitIndex2)) | v90(constB155, bitIndex2)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22868, 22830])).
% 73.67/46.50 tff(22870,plain,
% 73.67/46.50 (v90(constB155, bitIndex2)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22869, 22861])).
% 73.67/46.50 tff(22871,plain,
% 73.67/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22872,plain,
% 73.67/46.50 (((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0)) <=> ((~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22873,plain,
% 73.67/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0)))),
% 73.67/46.50 inference(monotonicity,[status(thm)],[22872])).
% 73.67/46.50 tff(22874,plain,
% 73.67/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0))),
% 73.67/46.50 inference(transitivity,[status(thm)],[22873, 22871])).
% 73.67/46.50 tff(22875,plain,
% 73.67/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0))),
% 73.67/46.50 inference(quant_inst,[status(thm)],[])).
% 73.67/46.50 tff(22876,plain,
% 73.67/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex0)),
% 73.67/46.50 inference(modus_ponens,[status(thm)],[22875, 22874])).
% 73.67/46.50 tff(22877,plain,
% 73.67/46.50 ((~v90(constB154, bitIndex0)) | v100(constB155) | v90(constB155, bitIndex0)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22876, 437, 22818])).
% 73.67/46.50 tff(22878,plain,
% 73.67/46.50 ((~v90(constB154, bitIndex0)) | v90(constB155, bitIndex0)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22877, 22830])).
% 73.67/46.50 tff(22879,plain,
% 73.67/46.50 (v90(constB155, bitIndex0)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22878, 22796])).
% 73.67/46.50 tff(22880,plain,
% 73.67/46.50 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v124(constB155))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v124(constB155))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22881,plain,
% 73.67/46.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v124(constB155))),
% 73.67/46.50 inference(quant_inst,[status(thm)],[])).
% 73.67/46.50 tff(22882,plain,
% 73.67/46.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB155, bitIndex0)) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v124(constB155)),
% 73.67/46.50 inference(modus_ponens,[status(thm)],[22881, 22880])).
% 73.67/46.50 tff(22883,plain,
% 73.67/46.50 (v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | v124(constB155)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22882, 1707, 22879])).
% 73.67/46.50 tff(22884,plain,
% 73.67/46.50 (v124(constB155)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22883, 22870, 22839])).
% 73.67/46.50 tff(22885,assumption,(v124(constB155)), introduced(assumption)).
% 73.67/46.50 tff(22886,plain,
% 73.67/46.50 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB155) | (~v124(constB155)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB155) | (~v124(constB155)))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22887,plain,
% 73.67/46.50 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB155) | (~v124(constB155)))),
% 73.67/46.50 inference(quant_inst,[status(thm)],[])).
% 73.67/46.50 tff(22888,plain,
% 73.67/46.50 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB155) | (~v124(constB155))),
% 73.67/46.50 inference(modus_ponens,[status(thm)],[22887, 22886])).
% 73.67/46.50 tff(22889,plain,
% 73.67/46.50 (v114(constB155)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22888, 1718, 22885])).
% 73.67/46.50 tff(22890,plain,
% 73.67/46.50 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB155) | (~v114(constB155)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB155) | (~v114(constB155)))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22891,plain,
% 73.67/46.50 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB155) | (~v114(constB155)))),
% 73.67/46.50 inference(quant_inst,[status(thm)],[])).
% 73.67/46.50 tff(22892,plain,
% 73.67/46.50 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB155) | (~v114(constB155))),
% 73.67/46.50 inference(modus_ponens,[status(thm)],[22891, 22890])).
% 73.67/46.50 tff(22893,plain,
% 73.67/46.50 (v113(constB155)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22892, 287, 22889])).
% 73.67/46.50 tff(22894,assumption,(v26(constB155)), introduced(assumption)).
% 73.67/46.50 tff(22895,plain,
% 73.67/46.50 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB155))),
% 73.67/46.50 inference(quant_inst,[status(thm)],[])).
% 73.67/46.50 tff(22896,plain,
% 73.67/46.50 ($false),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22895, 37, 22894])).
% 73.67/46.50 tff(22897,plain,(~v26(constB155)), inference(lemma,lemma(discharge,[]))).
% 73.67/46.50 tff(22898,plain,
% 73.67/46.50 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | (~v113(constB155)) | v112(constB155))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22899,plain,
% 73.67/46.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))),
% 73.67/46.50 inference(quant_inst,[status(thm)],[])).
% 73.67/46.50 tff(22900,plain,
% 73.67/46.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | (~v113(constB155)) | v112(constB155)),
% 73.67/46.50 inference(modus_ponens,[status(thm)],[22899, 22898])).
% 73.67/46.50 tff(22901,plain,
% 73.67/46.50 ((~v113(constB155)) | v112(constB155)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22900, 301, 22897])).
% 73.67/46.50 tff(22902,plain,
% 73.67/46.50 (v112(constB155)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22901, 22893])).
% 73.67/46.50 tff(22903,plain,
% 73.67/46.50 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB155) | (~v112(constB155)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB155) | (~v112(constB155)))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22904,plain,
% 73.67/46.50 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB155) | (~v112(constB155)))),
% 73.67/46.50 inference(quant_inst,[status(thm)],[])).
% 73.67/46.50 tff(22905,plain,
% 73.67/46.50 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB155) | (~v112(constB155))),
% 73.67/46.50 inference(modus_ponens,[status(thm)],[22904, 22903])).
% 73.67/46.50 tff(22906,plain,
% 73.67/46.50 (v108(constB155)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22905, 210, 22902])).
% 73.67/46.50 tff(22907,plain,
% 73.67/46.50 (nextState(constB155, constB156) <=> nextState(constB155, constB156)),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22908,axiom,(nextState(constB155, constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_155_1')).
% 73.67/46.50 tff(22909,plain,
% 73.67/46.50 (nextState(constB155, constB156)),
% 73.67/46.50 inference(modus_ponens,[status(thm)],[22908, 22907])).
% 73.67/46.50 tff(22910,plain,
% 73.67/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22911,plain,
% 73.67/46.50 (((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156)) <=> ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22912,plain,
% 73.67/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155))))),
% 73.67/46.50 inference(monotonicity,[status(thm)],[22911])).
% 73.67/46.50 tff(22913,plain,
% 73.67/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 73.67/46.50 inference(transitivity,[status(thm)],[22912, 22910])).
% 73.67/46.50 tff(22914,plain,
% 73.67/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))),
% 73.67/46.50 inference(quant_inst,[status(thm)],[])).
% 73.67/46.50 tff(22915,plain,
% 73.67/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155))),
% 73.67/46.50 inference(modus_ponens,[status(thm)],[22914, 22913])).
% 73.67/46.50 tff(22916,plain,
% 73.67/46.50 (v110(constB156) | (~v108(constB155))),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22915, 317, 22909])).
% 73.67/46.50 tff(22917,plain,
% 73.67/46.50 (v110(constB156)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22916, 22906])).
% 73.67/46.50 tff(22918,plain,
% 73.67/46.50 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22919,plain,
% 73.67/46.50 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))),
% 73.67/46.50 inference(quant_inst,[status(thm)],[])).
% 73.67/46.50 tff(22920,plain,
% 73.67/46.50 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156))),
% 73.67/46.50 inference(modus_ponens,[status(thm)],[22919, 22918])).
% 73.67/46.50 tff(22921,plain,
% 73.67/46.50 (~v104(constB156)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22920, 335, 22909, 22815])).
% 73.67/46.50 tff(22922,plain,
% 73.67/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22923,plain,
% 73.67/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))),
% 73.67/46.50 inference(quant_inst,[status(thm)],[])).
% 73.67/46.50 tff(22924,plain,
% 73.67/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v102(constB156) | v104(constB156)),
% 73.67/46.50 inference(modus_ponens,[status(thm)],[22923, 22922])).
% 73.67/46.50 tff(22925,plain,
% 73.67/46.50 (v102(constB156) | v104(constB156)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22924, 349, 22909])).
% 73.67/46.50 tff(22926,plain,
% 73.67/46.50 (v102(constB156)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22925, 22921])).
% 73.67/46.50 tff(22927,plain,
% 73.67/46.50 (v1(constB156) <=> v1(constB156)),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22928,axiom,(v1(constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_156_1')).
% 73.67/46.50 tff(22929,plain,
% 73.67/46.50 (v1(constB156)),
% 73.67/46.50 inference(modus_ponens,[status(thm)],[22928, 22927])).
% 73.67/46.50 tff(22930,plain,
% 73.67/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22931,plain,
% 73.67/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))),
% 73.67/46.50 inference(quant_inst,[status(thm)],[])).
% 73.67/46.50 tff(22932,plain,
% 73.67/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156))),
% 73.67/46.50 inference(modus_ponens,[status(thm)],[22931, 22930])).
% 73.67/46.50 tff(22933,plain,
% 73.67/46.50 (v101(constB156) | (~v102(constB156))),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22932, 367, 22909, 22929])).
% 73.67/46.50 tff(22934,plain,
% 73.67/46.50 (v101(constB156)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22933, 22926])).
% 73.67/46.50 tff(22935,plain,
% 73.67/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22936,plain,
% 73.67/46.50 (((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156)) <=> ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22937,plain,
% 73.67/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156))))),
% 73.67/46.50 inference(monotonicity,[status(thm)],[22936])).
% 73.67/46.50 tff(22938,plain,
% 73.67/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 73.67/46.50 inference(transitivity,[status(thm)],[22937, 22935])).
% 73.67/46.50 tff(22939,plain,
% 73.67/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))),
% 73.67/46.50 inference(quant_inst,[status(thm)],[])).
% 73.67/46.50 tff(22940,plain,
% 73.67/46.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156))),
% 73.67/46.50 inference(modus_ponens,[status(thm)],[22939, 22938])).
% 73.67/46.50 tff(22941,plain,
% 73.67/46.50 (v100(constB156) | (~v101(constB156)) | (~v110(constB156))),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22940, 382, 22909])).
% 73.67/46.50 tff(22942,plain,
% 73.67/46.50 (v100(constB156) | (~v110(constB156))),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22941, 22934])).
% 73.67/46.50 tff(22943,plain,
% 73.67/46.50 (v100(constB156)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22942, 22917])).
% 73.67/46.50 tff(22944,plain,
% 73.67/46.50 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB155)) | (~v130(constB155, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB155)) | (~v130(constB155, bitIndex0)))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22945,plain,
% 73.67/46.50 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB155)) | (~v130(constB155, bitIndex0)))),
% 73.67/46.50 inference(quant_inst,[status(thm)],[])).
% 73.67/46.50 tff(22946,plain,
% 73.67/46.50 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB155)) | (~v130(constB155, bitIndex0))),
% 73.67/46.50 inference(modus_ponens,[status(thm)],[22945, 22944])).
% 73.67/46.50 tff(22947,plain,
% 73.67/46.50 (~v130(constB155, bitIndex0)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22946, 1992, 22885])).
% 73.67/46.50 tff(22948,plain,
% 73.67/46.50 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22949,plain,
% 73.67/46.50 ((v26(constB155) | v130(constB155, bitIndex0) | (~v127(constB155, bitIndex0))) <=> ((~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22950,plain,
% 73.67/46.50 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB155) | v130(constB155, bitIndex0) | (~v127(constB155, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0)))),
% 73.67/46.50 inference(monotonicity,[status(thm)],[22949])).
% 73.67/46.50 tff(22951,plain,
% 73.67/46.50 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB155) | v130(constB155, bitIndex0) | (~v127(constB155, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0))),
% 73.67/46.50 inference(transitivity,[status(thm)],[22950, 22948])).
% 73.67/46.50 tff(22952,plain,
% 73.67/46.50 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB155) | v130(constB155, bitIndex0) | (~v127(constB155, bitIndex0)))),
% 73.67/46.50 inference(quant_inst,[status(thm)],[])).
% 73.67/46.50 tff(22953,plain,
% 73.67/46.50 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB155, bitIndex0)) | v26(constB155) | v130(constB155, bitIndex0)),
% 73.67/46.50 inference(modus_ponens,[status(thm)],[22952, 22951])).
% 73.67/46.50 tff(22954,plain,
% 73.67/46.50 ((~v127(constB155, bitIndex0)) | v130(constB155, bitIndex0)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22953, 905, 22897])).
% 73.67/46.50 tff(22955,plain,
% 73.67/46.50 (~v127(constB155, bitIndex0)),
% 73.67/46.50 inference(unit_resolution,[status(thm)],[22954, 22947])).
% 73.67/46.50 tff(22956,plain,
% 73.67/46.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB155, constB156)) | v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB155, constB156)) | v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0)))),
% 73.67/46.50 inference(rewrite,[status(thm)],[])).
% 73.67/46.50 tff(22957,plain,
% 73.67/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB155, constB156)) | v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0)))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(22958,plain,
% 73.67/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB155, constB156)) | v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0))),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[22957, 22956])).
% 73.67/46.51 tff(22959,plain,
% 73.67/46.51 (v127(constB155, bitIndex0) | (~v129(constB156, bitIndex0))),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[22958, 923, 22909])).
% 73.67/46.51 tff(22960,plain,
% 73.67/46.51 (~v129(constB156, bitIndex0)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[22959, 22955])).
% 73.67/46.51 tff(22961,plain,
% 73.67/46.51 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(22962,plain,
% 73.67/46.51 (((~v90(constB156, bitIndex0)) | (~v100(constB156)) | v129(constB156, bitIndex0)) <=> ((~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(22963,plain,
% 73.67/46.51 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | (~v100(constB156)) | v129(constB156, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156))))),
% 73.67/46.51 inference(monotonicity,[status(thm)],[22962])).
% 73.67/46.51 tff(22964,plain,
% 73.67/46.51 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | (~v100(constB156)) | v129(constB156, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156)))),
% 73.67/46.51 inference(transitivity,[status(thm)],[22963, 22961])).
% 73.67/46.51 tff(22965,plain,
% 73.67/46.51 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB156, bitIndex0)) | (~v100(constB156)) | v129(constB156, bitIndex0))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(22966,plain,
% 73.67/46.51 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0) | (~v100(constB156))),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[22965, 22964])).
% 73.67/46.51 tff(22967,plain,
% 73.67/46.51 ((~v90(constB156, bitIndex0)) | (~v100(constB156))),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[22966, 938, 22960])).
% 73.67/46.51 tff(22968,plain,
% 73.67/46.51 (~v90(constB156, bitIndex0)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[22967, 22943])).
% 73.67/46.51 tff(22969,plain,
% 73.67/46.51 ((~v1(constB157)) <=> (~v1(constB157))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(22970,axiom,(~v1(constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_157_1_1')).
% 73.67/46.51 tff(22971,plain,
% 73.67/46.51 (~v1(constB157)),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[22970, 22969])).
% 73.67/46.51 tff(22972,plain,
% 73.67/46.51 (nextState(constB156, constB157) <=> nextState(constB156, constB157)),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(22973,axiom,(nextState(constB156, constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_156_1')).
% 73.67/46.51 tff(22974,plain,
% 73.67/46.51 (nextState(constB156, constB157)),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[22973, 22972])).
% 73.67/46.51 tff(22975,plain,
% 73.67/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(22976,plain,
% 73.67/46.51 (((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157)) <=> (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(22977,plain,
% 73.67/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157))))),
% 73.67/46.51 inference(monotonicity,[status(thm)],[22976])).
% 73.67/46.51 tff(22978,plain,
% 73.67/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 73.67/46.51 inference(transitivity,[status(thm)],[22977, 22975])).
% 73.67/46.51 tff(22979,plain,
% 73.67/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(22980,plain,
% 73.67/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157))),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[22979, 22978])).
% 73.67/46.51 tff(22981,plain,
% 73.67/46.51 (~v101(constB157)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[22980, 56, 22974, 22971])).
% 73.67/46.51 tff(22982,plain,
% 73.67/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(22983,plain,
% 73.67/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(22984,plain,
% 73.67/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157))),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[22983, 22982])).
% 73.67/46.51 tff(22985,plain,
% 73.67/46.51 (v101(constB157) | (~v100(constB157))),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[22984, 73, 22974])).
% 73.67/46.51 tff(22986,plain,
% 73.67/46.51 (~v100(constB157)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[22985, 22981])).
% 73.67/46.51 tff(22987,plain,
% 73.67/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(22988,plain,
% 73.67/46.51 (((~nextState(constB156, constB157)) | v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0))) <=> (v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(22989,plain,
% 73.67/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0))))),
% 73.67/46.51 inference(monotonicity,[status(thm)],[22988])).
% 73.67/46.51 tff(22990,plain,
% 73.67/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0)))),
% 73.67/46.51 inference(transitivity,[status(thm)],[22989, 22987])).
% 73.67/46.51 tff(22991,plain,
% 73.67/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB156, constB157)) | v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0)))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(22992,plain,
% 73.67/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex0))),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[22991, 22990])).
% 73.67/46.51 tff(22993,plain,
% 73.67/46.51 (v90(constB156, bitIndex0) | v100(constB157) | (~v90(constB157, bitIndex0))),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[22992, 130, 22974])).
% 73.67/46.51 tff(22994,plain,
% 73.67/46.51 (v90(constB156, bitIndex0) | (~v90(constB157, bitIndex0))),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[22993, 22986])).
% 73.67/46.51 tff(22995,plain,
% 73.67/46.51 (~v90(constB157, bitIndex0)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[22994, 22968])).
% 73.67/46.51 tff(22996,assumption,(~v113(constB157)), introduced(assumption)).
% 73.67/46.51 tff(22997,plain,
% 73.67/46.51 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB157) | (~v114(constB157)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB157) | (~v114(constB157)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(22998,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB157) | (~v114(constB157)))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(22999,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB157) | (~v114(constB157))),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[22998, 22997])).
% 73.67/46.51 tff(23000,plain,
% 73.67/46.51 (~v114(constB157)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[22999, 287, 22996])).
% 73.67/46.51 tff(23001,plain,
% 73.67/46.51 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB157) | (~v115(constB157)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB157) | (~v115(constB157)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23002,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB157) | (~v115(constB157)))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(23003,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB157) | (~v115(constB157))),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23002, 23001])).
% 73.67/46.51 tff(23004,plain,
% 73.67/46.51 (~v115(constB157)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23003, 276, 23000])).
% 73.67/46.51 tff(23005,plain,
% 73.67/46.51 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB157) | (~v116(constB157)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB157) | (~v116(constB157)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23006,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB157) | (~v116(constB157)))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(23007,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB157) | (~v116(constB157))),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23006, 23005])).
% 73.67/46.51 tff(23008,plain,
% 73.67/46.51 (~v116(constB157)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23007, 265, 23004])).
% 73.67/46.51 tff(23009,plain,
% 73.67/46.51 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB157) | (~v117(constB157)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB157) | (~v117(constB157)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23010,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB157) | (~v117(constB157)))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(23011,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB157) | (~v117(constB157))),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23010, 23009])).
% 73.67/46.51 tff(23012,plain,
% 73.67/46.51 (~v117(constB157)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23011, 254, 23008])).
% 73.67/46.51 tff(23013,plain,
% 73.67/46.51 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB157) | (~v121(constB157)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB157) | (~v121(constB157)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23014,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB157) | (~v121(constB157)))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(23015,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB157) | (~v121(constB157))),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23014, 23013])).
% 73.67/46.51 tff(23016,plain,
% 73.67/46.51 (~v121(constB157)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23015, 976, 23012])).
% 73.67/46.51 tff(23017,plain,
% 73.67/46.51 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB157) | (~v123(constB157)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB157) | (~v123(constB157)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23018,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB157) | (~v123(constB157)))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(23019,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB157) | (~v123(constB157))),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23018, 23017])).
% 73.67/46.51 tff(23020,plain,
% 73.67/46.51 (~v123(constB157)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23019, 1488, 23004])).
% 73.67/46.51 tff(23021,assumption,(~v90(constB157, bitIndex0)), introduced(assumption)).
% 73.67/46.51 tff(23022,plain,
% 73.67/46.51 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB157) | (~v118(constB157)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB157) | (~v118(constB157)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23023,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB157) | (~v118(constB157)))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(23024,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB157) | (~v118(constB157))),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23023, 23022])).
% 73.67/46.51 tff(23025,plain,
% 73.67/46.51 (~v118(constB157)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23024, 243, 23012])).
% 73.67/46.51 tff(23026,plain,
% 73.67/46.51 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB157) | (~v119(constB157)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB157) | (~v119(constB157)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23027,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB157) | (~v119(constB157)))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(23028,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB157) | (~v119(constB157))),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23027, 23026])).
% 73.67/46.51 tff(23029,plain,
% 73.67/46.51 (~v119(constB157)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23028, 232, 23025])).
% 73.67/46.51 tff(23030,assumption,(~v119(constB157)), introduced(assumption)).
% 73.67/46.51 tff(23031,assumption,(~v90(constB157, bitIndex1)), introduced(assumption)).
% 73.67/46.51 tff(23032,assumption,(~v123(constB157)), introduced(assumption)).
% 73.67/46.51 tff(23033,plain,
% 73.67/46.51 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)) | v123(constB157))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)) | v123(constB157))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23034,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)) | v123(constB157))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(23035,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)) | v123(constB157)),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23034, 23033])).
% 73.67/46.51 tff(23036,plain,
% 73.67/46.51 (v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)) | v123(constB157)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23035, 1477, 23021])).
% 73.67/46.51 tff(23037,plain,
% 73.67/46.51 (~v90(constB157, bitIndex2)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23036, 23031, 23032])).
% 73.67/46.51 tff(23038,plain,
% 73.67/46.51 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB157) | v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB157) | v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23039,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB157) | v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(23040,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB157) | v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2)),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23039, 23038])).
% 73.67/46.51 tff(23041,plain,
% 73.67/46.51 (v119(constB157) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23040, 151, 23021])).
% 73.67/46.51 tff(23042,plain,
% 73.67/46.51 ($false),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23041, 23037, 23031, 23030])).
% 73.67/46.51 tff(23043,plain,(v90(constB157, bitIndex1) | v119(constB157) | v90(constB157, bitIndex0) | v123(constB157)), inference(lemma,lemma(discharge,[]))).
% 73.67/46.51 tff(23044,plain,
% 73.67/46.51 (v90(constB157, bitIndex1)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23043, 23029, 23021, 23020])).
% 73.67/46.51 tff(23045,plain,
% 73.67/46.51 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB157) | (~v125(constB157)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB157) | (~v125(constB157)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23046,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB157) | (~v125(constB157)))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(23047,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB157) | (~v125(constB157))),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23046, 23045])).
% 73.67/46.51 tff(23048,plain,
% 73.67/46.51 (~v125(constB157)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23047, 2047, 22996])).
% 73.67/46.51 tff(23049,plain,
% 73.67/46.51 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23050,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(23051,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157)),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23050, 23049])).
% 73.67/46.51 tff(23052,plain,
% 73.67/46.51 ((~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)) | v125(constB157)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23051, 2036, 23021])).
% 73.67/46.51 tff(23053,plain,
% 73.67/46.51 (~v90(constB157, bitIndex2)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23052, 23044, 23048])).
% 73.67/46.51 tff(23054,plain,
% 73.67/46.51 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex2) | v121(constB157))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex2) | v121(constB157))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23055,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex2) | v121(constB157))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(23056,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | v90(constB157, bitIndex2) | v121(constB157)),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23055, 23054])).
% 73.67/46.51 tff(23057,plain,
% 73.67/46.51 ((~v90(constB157, bitIndex1)) | v90(constB157, bitIndex2) | v121(constB157)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23056, 965, 23021])).
% 73.67/46.51 tff(23058,plain,
% 73.67/46.51 ($false),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23057, 23053, 23044, 23016])).
% 73.67/46.51 tff(23059,plain,(v113(constB157) | v90(constB157, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.67/46.51 tff(23060,plain,
% 73.67/46.51 (v113(constB157)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23059, 22995])).
% 73.67/46.51 tff(23061,assumption,(v26(constB157)), introduced(assumption)).
% 73.67/46.51 tff(23062,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB157))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(23063,plain,
% 73.67/46.51 ($false),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23062, 37, 23061])).
% 73.67/46.51 tff(23064,plain,(~v26(constB157)), inference(lemma,lemma(discharge,[]))).
% 73.67/46.51 tff(23065,plain,
% 73.67/46.51 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | v112(constB157) | (~v113(constB157)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23066,plain,
% 73.67/46.51 ((v26(constB157) | (~v113(constB157)) | v112(constB157)) <=> (v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23067,plain,
% 73.67/46.51 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | v112(constB157) | (~v113(constB157))))),
% 73.67/46.51 inference(monotonicity,[status(thm)],[23066])).
% 73.67/46.51 tff(23068,plain,
% 73.67/46.51 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 73.67/46.51 inference(transitivity,[status(thm)],[23067, 23065])).
% 73.67/46.51 tff(23069,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(23070,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157))),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23069, 23068])).
% 73.67/46.51 tff(23071,plain,
% 73.67/46.51 (v112(constB157) | (~v113(constB157))),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23070, 301, 23064])).
% 73.67/46.51 tff(23072,plain,
% 73.67/46.51 (v112(constB157)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23071, 23060])).
% 73.67/46.51 tff(23073,plain,
% 73.67/46.51 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB157) | (~v112(constB157)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB157) | (~v112(constB157)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23074,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB157) | (~v112(constB157)))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(23075,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB157) | (~v112(constB157))),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23074, 23073])).
% 73.67/46.51 tff(23076,plain,
% 73.67/46.51 (v108(constB157)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23075, 210, 23072])).
% 73.67/46.51 tff(23077,plain,
% 73.67/46.51 (nextState(constB157, constB158) <=> nextState(constB157, constB158)),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23078,axiom,(nextState(constB157, constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_157_1')).
% 73.67/46.51 tff(23079,plain,
% 73.67/46.51 (nextState(constB157, constB158)),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23078, 23077])).
% 73.67/46.51 tff(23080,plain,
% 73.67/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23081,plain,
% 73.67/46.51 (((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158)) <=> ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23082,plain,
% 73.67/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157))))),
% 73.67/46.51 inference(monotonicity,[status(thm)],[23081])).
% 73.67/46.51 tff(23083,plain,
% 73.67/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 73.67/46.51 inference(transitivity,[status(thm)],[23082, 23080])).
% 73.67/46.51 tff(23084,plain,
% 73.67/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(23085,plain,
% 73.67/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157))),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23084, 23083])).
% 73.67/46.51 tff(23086,plain,
% 73.67/46.51 (v110(constB158) | (~v108(constB157))),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23085, 317, 23079])).
% 73.67/46.51 tff(23087,plain,
% 73.67/46.51 (v110(constB158)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23086, 23076])).
% 73.67/46.51 tff(23088,plain,
% 73.67/46.51 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23089,plain,
% 73.67/46.51 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(23090,plain,
% 73.67/46.51 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158))),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23089, 23088])).
% 73.67/46.51 tff(23091,plain,
% 73.67/46.51 (~v104(constB158)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23090, 335, 23079, 22971])).
% 73.67/46.51 tff(23092,plain,
% 73.67/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23093,plain,
% 73.67/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(23094,plain,
% 73.67/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v102(constB158) | v104(constB158)),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23093, 23092])).
% 73.67/46.51 tff(23095,plain,
% 73.67/46.51 (v102(constB158) | v104(constB158)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23094, 349, 23079])).
% 73.67/46.51 tff(23096,plain,
% 73.67/46.51 (v102(constB158)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23095, 23091])).
% 73.67/46.51 tff(23097,plain,
% 73.67/46.51 (v1(constB158) <=> v1(constB158)),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23098,axiom,(v1(constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_158_1')).
% 73.67/46.51 tff(23099,plain,
% 73.67/46.51 (v1(constB158)),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23098, 23097])).
% 73.67/46.51 tff(23100,plain,
% 73.67/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23101,plain,
% 73.67/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(23102,plain,
% 73.67/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158))),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23101, 23100])).
% 73.67/46.51 tff(23103,plain,
% 73.67/46.51 (v101(constB158) | (~v102(constB158))),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23102, 367, 23079, 23099])).
% 73.67/46.51 tff(23104,plain,
% 73.67/46.51 (v101(constB158)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23103, 23096])).
% 73.67/46.51 tff(23105,plain,
% 73.67/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23106,plain,
% 73.67/46.51 (((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158)) <=> ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23107,plain,
% 73.67/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158))))),
% 73.67/46.51 inference(monotonicity,[status(thm)],[23106])).
% 73.67/46.51 tff(23108,plain,
% 73.67/46.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 73.67/46.51 inference(transitivity,[status(thm)],[23107, 23105])).
% 73.67/46.51 tff(23109,plain,
% 73.67/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(23110,plain,
% 73.67/46.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158))),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23109, 23108])).
% 73.67/46.51 tff(23111,plain,
% 73.67/46.51 (v100(constB158) | (~v101(constB158)) | (~v110(constB158))),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23110, 382, 23079])).
% 73.67/46.51 tff(23112,plain,
% 73.67/46.51 (v100(constB158) | (~v110(constB158))),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23111, 23104])).
% 73.67/46.51 tff(23113,plain,
% 73.67/46.51 (v100(constB158)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23112, 23087])).
% 73.67/46.51 tff(23114,plain,
% 73.67/46.51 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB157, bitIndex0) | (~v124(constB157)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB157, bitIndex0) | (~v124(constB157)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23115,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB157, bitIndex0) | (~v124(constB157)))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(23116,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB157, bitIndex0) | (~v124(constB157))),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23115, 23114])).
% 73.67/46.51 tff(23117,plain,
% 73.67/46.51 (~v124(constB157)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23116, 3745, 23021])).
% 73.67/46.51 tff(23118,assumption,(~v130(constB157, bitIndex0)), introduced(assumption)).
% 73.67/46.51 tff(23119,plain,
% 73.67/46.51 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB157)) | v130(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB157)) | v130(constB157, bitIndex0))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23120,plain,
% 73.67/46.51 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB157)) | v130(constB157, bitIndex0))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(23121,plain,
% 73.67/46.51 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB157)) | v130(constB157, bitIndex0)),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23120, 23119])).
% 73.67/46.51 tff(23122,plain,
% 73.67/46.51 (~v121(constB157)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23121, 1162, 23118])).
% 73.67/46.51 tff(23123,plain,
% 73.67/46.51 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB157)) | v130(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB157)) | v130(constB157, bitIndex0))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23124,plain,
% 73.67/46.51 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB157)) | v130(constB157, bitIndex0))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(23125,plain,
% 73.67/46.51 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB157)) | v130(constB157, bitIndex0)),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23124, 23123])).
% 73.67/46.51 tff(23126,plain,
% 73.67/46.51 (~v119(constB157)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23125, 165, 23118])).
% 73.67/46.51 tff(23127,plain,
% 73.67/46.51 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB157)) | v130(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB157)) | v130(constB157, bitIndex0))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23128,plain,
% 73.67/46.51 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB157)) | v130(constB157, bitIndex0))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(23129,plain,
% 73.67/46.51 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB157)) | v130(constB157, bitIndex0)),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23128, 23127])).
% 73.67/46.51 tff(23130,plain,
% 73.67/46.51 (~v123(constB157)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23129, 1666, 23118])).
% 73.67/46.51 tff(23131,plain,
% 73.67/46.51 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB157, bitIndex0) | (~v122(constB157)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB157, bitIndex0) | (~v122(constB157)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23132,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB157, bitIndex0) | (~v122(constB157)))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(23133,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB157, bitIndex0) | (~v122(constB157))),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23132, 23131])).
% 73.67/46.51 tff(23134,plain,
% 73.67/46.51 (~v122(constB157)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23133, 3734, 23021])).
% 73.67/46.51 tff(23135,plain,
% 73.67/46.51 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB157, bitIndex0) | (~v120(constB157)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB157, bitIndex0) | (~v120(constB157)))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23136,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB157, bitIndex0) | (~v120(constB157)))),
% 73.67/46.51 inference(quant_inst,[status(thm)],[])).
% 73.67/46.51 tff(23137,plain,
% 73.67/46.51 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB157, bitIndex0) | (~v120(constB157))),
% 73.67/46.51 inference(modus_ponens,[status(thm)],[23136, 23135])).
% 73.67/46.51 tff(23138,plain,
% 73.67/46.51 (~v120(constB157)),
% 73.67/46.51 inference(unit_resolution,[status(thm)],[23137, 3723, 23021])).
% 73.67/46.51 tff(23139,plain,
% 73.67/46.51 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB157, bitIndex0) | v123(constB157) | v120(constB157) | v122(constB157) | v119(constB157) | v121(constB157) | v124(constB157))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB157, bitIndex0) | v123(constB157) | v120(constB157) | v122(constB157) | v119(constB157) | v121(constB157) | v124(constB157))),
% 73.67/46.51 inference(rewrite,[status(thm)],[])).
% 73.67/46.51 tff(23140,plain,
% 73.67/46.51 ((v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, bitIndex0)) <=> (v130(constB157, bitIndex0) | v123(constB157) | v120(constB157) | v122(constB157) | v119(constB157) | v121(constB157) | v124(constB157))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23141,plain,
% 73.67/46.52 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB157, bitIndex0) | v123(constB157) | v120(constB157) | v122(constB157) | v119(constB157) | v121(constB157) | v124(constB157)))),
% 73.67/46.52 inference(monotonicity,[status(thm)],[23140])).
% 73.67/46.52 tff(23142,plain,
% 73.67/46.52 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB157, bitIndex0) | v123(constB157) | v120(constB157) | v122(constB157) | v119(constB157) | v121(constB157) | v124(constB157))),
% 73.67/46.52 inference(transitivity,[status(thm)],[23141, 23139])).
% 73.67/46.52 tff(23143,plain,
% 73.67/46.52 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, bitIndex0))),
% 73.67/46.52 inference(quant_inst,[status(thm)],[])).
% 73.67/46.52 tff(23144,plain,
% 73.67/46.52 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB157, bitIndex0) | v123(constB157) | v120(constB157) | v122(constB157) | v119(constB157) | v121(constB157) | v124(constB157)),
% 73.67/46.52 inference(modus_ponens,[status(thm)],[23143, 23142])).
% 73.67/46.52 tff(23145,plain,
% 73.67/46.52 (v123(constB157) | v120(constB157) | v122(constB157) | v119(constB157) | v121(constB157) | v124(constB157)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23144, 2192, 23118])).
% 73.67/46.52 tff(23146,plain,
% 73.67/46.52 ($false),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23145, 23138, 23134, 23130, 23126, 23122, 23117])).
% 73.67/46.52 tff(23147,plain,(v90(constB157, bitIndex0) | v130(constB157, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.67/46.52 tff(23148,plain,
% 73.67/46.52 (v130(constB157, bitIndex0)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23147, 22995])).
% 73.67/46.52 tff(23149,plain,
% 73.67/46.52 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB157) | (~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB157) | (~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23150,plain,
% 73.67/46.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB157) | (~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0))),
% 73.67/46.52 inference(quant_inst,[status(thm)],[])).
% 73.67/46.52 tff(23151,plain,
% 73.67/46.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB157) | (~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0)),
% 73.67/46.52 inference(modus_ponens,[status(thm)],[23150, 23149])).
% 73.67/46.52 tff(23152,plain,
% 73.67/46.52 ((~v130(constB157, bitIndex0)) | v127(constB157, bitIndex0)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23151, 179, 23064])).
% 73.67/46.52 tff(23153,plain,
% 73.67/46.52 (v127(constB157, bitIndex0)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23152, 23148])).
% 73.67/46.52 tff(23154,plain,
% 73.67/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB157, constB158)) | (~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB157, constB158)) | (~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23155,plain,
% 73.67/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB157, constB158)) | (~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0))),
% 73.67/46.52 inference(quant_inst,[status(thm)],[])).
% 73.67/46.52 tff(23156,plain,
% 73.67/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB157, constB158)) | (~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0)),
% 73.67/46.52 inference(modus_ponens,[status(thm)],[23155, 23154])).
% 73.67/46.52 tff(23157,plain,
% 73.67/46.52 ((~v127(constB157, bitIndex0)) | v129(constB158, bitIndex0)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23156, 197, 23079])).
% 73.67/46.52 tff(23158,plain,
% 73.67/46.52 (v129(constB158, bitIndex0)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23157, 23153])).
% 73.67/46.52 tff(23159,plain,
% 73.67/46.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158)))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23160,plain,
% 73.67/46.52 ((v90(constB158, bitIndex0) | (~v100(constB158)) | (~v129(constB158, bitIndex0))) <=> (v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158)))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23161,plain,
% 73.67/46.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~v100(constB158)) | (~v129(constB158, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158))))),
% 73.67/46.52 inference(monotonicity,[status(thm)],[23160])).
% 73.67/46.52 tff(23162,plain,
% 73.67/46.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~v100(constB158)) | (~v129(constB158, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158)))),
% 73.67/46.52 inference(transitivity,[status(thm)],[23161, 23159])).
% 73.67/46.52 tff(23163,plain,
% 73.67/46.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB158, bitIndex0) | (~v100(constB158)) | (~v129(constB158, bitIndex0)))),
% 73.67/46.52 inference(quant_inst,[status(thm)],[])).
% 73.67/46.52 tff(23164,plain,
% 73.67/46.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0)) | (~v100(constB158))),
% 73.67/46.52 inference(modus_ponens,[status(thm)],[23163, 23162])).
% 73.67/46.52 tff(23165,plain,
% 73.67/46.52 (v90(constB158, bitIndex0) | (~v100(constB158))),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23164, 401, 23158])).
% 73.67/46.52 tff(23166,plain,
% 73.67/46.52 (v90(constB158, bitIndex0)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23165, 23113])).
% 73.67/46.52 tff(23167,plain,
% 73.67/46.52 ((~v1(constB159)) <=> (~v1(constB159))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23168,axiom,(~v1(constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_159_1_1')).
% 73.67/46.52 tff(23169,plain,
% 73.67/46.52 (~v1(constB159)),
% 73.67/46.52 inference(modus_ponens,[status(thm)],[23168, 23167])).
% 73.67/46.52 tff(23170,plain,
% 73.67/46.52 (nextState(constB158, constB159) <=> nextState(constB158, constB159)),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23171,axiom,(nextState(constB158, constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_158_1')).
% 73.67/46.52 tff(23172,plain,
% 73.67/46.52 (nextState(constB158, constB159)),
% 73.67/46.52 inference(modus_ponens,[status(thm)],[23171, 23170])).
% 73.67/46.52 tff(23173,plain,
% 73.67/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23174,plain,
% 73.67/46.52 (((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159)) <=> (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23175,plain,
% 73.67/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159))))),
% 73.67/46.52 inference(monotonicity,[status(thm)],[23174])).
% 73.67/46.52 tff(23176,plain,
% 73.67/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 73.67/46.52 inference(transitivity,[status(thm)],[23175, 23173])).
% 73.67/46.52 tff(23177,plain,
% 73.67/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))),
% 73.67/46.52 inference(quant_inst,[status(thm)],[])).
% 73.67/46.52 tff(23178,plain,
% 73.67/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159))),
% 73.67/46.52 inference(modus_ponens,[status(thm)],[23177, 23176])).
% 73.67/46.52 tff(23179,plain,
% 73.67/46.52 (~v101(constB159)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23178, 56, 23172, 23169])).
% 73.67/46.52 tff(23180,plain,
% 73.67/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23181,plain,
% 73.67/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))),
% 73.67/46.52 inference(quant_inst,[status(thm)],[])).
% 73.67/46.52 tff(23182,plain,
% 73.67/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159))),
% 73.67/46.52 inference(modus_ponens,[status(thm)],[23181, 23180])).
% 73.67/46.52 tff(23183,plain,
% 73.67/46.52 (v101(constB159) | (~v100(constB159))),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23182, 73, 23172])).
% 73.67/46.52 tff(23184,plain,
% 73.67/46.52 (~v100(constB159)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23183, 23179])).
% 73.67/46.52 tff(23185,plain,
% 73.67/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23186,plain,
% 73.67/46.52 (((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0)) <=> ((~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23187,plain,
% 73.67/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0)))),
% 73.67/46.52 inference(monotonicity,[status(thm)],[23186])).
% 73.67/46.52 tff(23188,plain,
% 73.67/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0))),
% 73.67/46.52 inference(transitivity,[status(thm)],[23187, 23185])).
% 73.67/46.52 tff(23189,plain,
% 73.67/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0))),
% 73.67/46.52 inference(quant_inst,[status(thm)],[])).
% 73.67/46.52 tff(23190,plain,
% 73.67/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex0)),
% 73.67/46.52 inference(modus_ponens,[status(thm)],[23189, 23188])).
% 73.67/46.52 tff(23191,plain,
% 73.67/46.52 ((~v90(constB158, bitIndex0)) | v100(constB159) | v90(constB159, bitIndex0)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23190, 437, 23172])).
% 73.67/46.52 tff(23192,plain,
% 73.67/46.52 ((~v90(constB158, bitIndex0)) | v90(constB159, bitIndex0)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23191, 23184])).
% 73.67/46.52 tff(23193,plain,
% 73.67/46.52 (v90(constB159, bitIndex0)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23192, 23166])).
% 73.67/46.52 tff(23194,plain,
% 73.67/46.52 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB155)) | v130(constB155, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB155)) | v130(constB155, bitIndex2))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23195,plain,
% 73.67/46.52 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB155)) | v130(constB155, bitIndex2))),
% 73.67/46.52 inference(quant_inst,[status(thm)],[])).
% 73.67/46.52 tff(23196,plain,
% 73.67/46.52 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB155)) | v130(constB155, bitIndex2)),
% 73.67/46.52 inference(modus_ponens,[status(thm)],[23195, 23194])).
% 73.67/46.52 tff(23197,plain,
% 73.67/46.52 (v130(constB155, bitIndex2)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23196, 1786, 22885])).
% 73.67/46.52 tff(23198,plain,
% 73.67/46.52 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23199,plain,
% 73.67/46.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2))),
% 73.67/46.52 inference(quant_inst,[status(thm)],[])).
% 73.67/46.52 tff(23200,plain,
% 73.67/46.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB155) | (~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2)),
% 73.67/46.52 inference(modus_ponens,[status(thm)],[23199, 23198])).
% 73.67/46.52 tff(23201,plain,
% 73.67/46.52 ((~v130(constB155, bitIndex2)) | v127(constB155, bitIndex2)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23200, 1304, 22897])).
% 73.67/46.52 tff(23202,plain,
% 73.67/46.52 (v127(constB155, bitIndex2)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23201, 23197])).
% 73.67/46.52 tff(23203,plain,
% 73.67/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23204,plain,
% 73.67/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2))),
% 73.67/46.52 inference(quant_inst,[status(thm)],[])).
% 73.67/46.52 tff(23205,plain,
% 73.67/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2)),
% 73.67/46.52 inference(modus_ponens,[status(thm)],[23204, 23203])).
% 73.67/46.52 tff(23206,plain,
% 73.67/46.52 ((~v127(constB155, bitIndex2)) | v129(constB156, bitIndex2)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23205, 1319, 22909])).
% 73.67/46.52 tff(23207,plain,
% 73.67/46.52 (v129(constB156, bitIndex2)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23206, 23202])).
% 73.67/46.52 tff(23208,plain,
% 73.67/46.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156)))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23209,plain,
% 73.67/46.52 ((v90(constB156, bitIndex2) | (~v100(constB156)) | (~v129(constB156, bitIndex2))) <=> (v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156)))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23210,plain,
% 73.67/46.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v100(constB156)) | (~v129(constB156, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156))))),
% 73.67/46.52 inference(monotonicity,[status(thm)],[23209])).
% 73.67/46.52 tff(23211,plain,
% 73.67/46.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v100(constB156)) | (~v129(constB156, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156)))),
% 73.67/46.52 inference(transitivity,[status(thm)],[23210, 23208])).
% 73.67/46.52 tff(23212,plain,
% 73.67/46.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB156, bitIndex2) | (~v100(constB156)) | (~v129(constB156, bitIndex2)))),
% 73.67/46.52 inference(quant_inst,[status(thm)],[])).
% 73.67/46.52 tff(23213,plain,
% 73.67/46.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2)) | (~v100(constB156))),
% 73.67/46.52 inference(modus_ponens,[status(thm)],[23212, 23211])).
% 73.67/46.52 tff(23214,plain,
% 73.67/46.52 (v90(constB156, bitIndex2) | (~v100(constB156))),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23213, 1334, 23207])).
% 73.67/46.52 tff(23215,plain,
% 73.67/46.52 (v90(constB156, bitIndex2)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23214, 22943])).
% 73.67/46.52 tff(23216,plain,
% 73.67/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23217,plain,
% 73.67/46.52 (((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2)) <=> ((~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23218,plain,
% 73.67/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2)))),
% 73.67/46.52 inference(monotonicity,[status(thm)],[23217])).
% 73.67/46.52 tff(23219,plain,
% 73.67/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2))),
% 73.67/46.52 inference(transitivity,[status(thm)],[23218, 23216])).
% 73.67/46.52 tff(23220,plain,
% 73.67/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2))),
% 73.67/46.52 inference(quant_inst,[status(thm)],[])).
% 73.67/46.52 tff(23221,plain,
% 73.67/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex2)),
% 73.67/46.52 inference(modus_ponens,[status(thm)],[23220, 23219])).
% 73.67/46.52 tff(23222,plain,
% 73.67/46.52 ((~v90(constB156, bitIndex2)) | v100(constB157) | v90(constB157, bitIndex2)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23221, 1370, 22974])).
% 73.67/46.52 tff(23223,plain,
% 73.67/46.52 ((~v90(constB156, bitIndex2)) | v90(constB157, bitIndex2)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23222, 22986])).
% 73.67/46.52 tff(23224,plain,
% 73.67/46.52 (v90(constB157, bitIndex2)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23223, 23215])).
% 73.67/46.52 tff(23225,plain,
% 73.67/46.52 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB157, bitIndex2)) | (~v121(constB157)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB157, bitIndex2)) | (~v121(constB157)))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23226,plain,
% 73.67/46.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB157, bitIndex2)) | (~v121(constB157)))),
% 73.67/46.52 inference(quant_inst,[status(thm)],[])).
% 73.67/46.52 tff(23227,plain,
% 73.67/46.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB157, bitIndex2)) | (~v121(constB157))),
% 73.67/46.52 inference(modus_ponens,[status(thm)],[23226, 23225])).
% 73.67/46.52 tff(23228,plain,
% 73.67/46.52 (~v121(constB157)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23227, 1842, 23224])).
% 73.67/46.52 tff(23229,plain,
% 73.67/46.52 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB157, bitIndex2)) | (~v122(constB157)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB157, bitIndex2)) | (~v122(constB157)))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23230,plain,
% 73.67/46.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB157, bitIndex2)) | (~v122(constB157)))),
% 73.67/46.52 inference(quant_inst,[status(thm)],[])).
% 73.67/46.52 tff(23231,plain,
% 73.67/46.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB157, bitIndex2)) | (~v122(constB157))),
% 73.67/46.52 inference(modus_ponens,[status(thm)],[23230, 23229])).
% 73.67/46.52 tff(23232,plain,
% 73.67/46.52 (~v122(constB157)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23231, 1853, 23224])).
% 73.67/46.52 tff(23233,plain,
% 73.67/46.52 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB155)) | v130(constB155, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB155)) | v130(constB155, bitIndex1))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23234,plain,
% 73.67/46.52 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB155)) | v130(constB155, bitIndex1))),
% 73.67/46.52 inference(quant_inst,[status(thm)],[])).
% 73.67/46.52 tff(23235,plain,
% 73.67/46.52 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB155)) | v130(constB155, bitIndex1)),
% 73.67/46.52 inference(modus_ponens,[status(thm)],[23234, 23233])).
% 73.67/46.52 tff(23236,plain,
% 73.67/46.52 (v130(constB155, bitIndex1)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23235, 1867, 22885])).
% 73.67/46.52 tff(23237,plain,
% 73.67/46.52 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23238,plain,
% 73.67/46.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1))),
% 73.67/46.52 inference(quant_inst,[status(thm)],[])).
% 73.67/46.52 tff(23239,plain,
% 73.67/46.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB155) | (~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1)),
% 73.67/46.52 inference(modus_ponens,[status(thm)],[23238, 23237])).
% 73.67/46.52 tff(23240,plain,
% 73.67/46.52 ((~v130(constB155, bitIndex1)) | v127(constB155, bitIndex1)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23239, 824, 22897])).
% 73.67/46.52 tff(23241,plain,
% 73.67/46.52 (v127(constB155, bitIndex1)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23240, 23236])).
% 73.67/46.52 tff(23242,plain,
% 73.67/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23243,plain,
% 73.67/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1))),
% 73.67/46.52 inference(quant_inst,[status(thm)],[])).
% 73.67/46.52 tff(23244,plain,
% 73.67/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1)),
% 73.67/46.52 inference(modus_ponens,[status(thm)],[23243, 23242])).
% 73.67/46.52 tff(23245,plain,
% 73.67/46.52 ((~v127(constB155, bitIndex1)) | v129(constB156, bitIndex1)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23244, 839, 22909])).
% 73.67/46.52 tff(23246,plain,
% 73.67/46.52 (v129(constB156, bitIndex1)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23245, 23241])).
% 73.67/46.52 tff(23247,plain,
% 73.67/46.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156)))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23248,plain,
% 73.67/46.52 ((v90(constB156, bitIndex1) | (~v100(constB156)) | (~v129(constB156, bitIndex1))) <=> (v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156)))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23249,plain,
% 73.67/46.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v100(constB156)) | (~v129(constB156, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156))))),
% 73.67/46.52 inference(monotonicity,[status(thm)],[23248])).
% 73.67/46.52 tff(23250,plain,
% 73.67/46.52 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v100(constB156)) | (~v129(constB156, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156)))),
% 73.67/46.52 inference(transitivity,[status(thm)],[23249, 23247])).
% 73.67/46.52 tff(23251,plain,
% 73.67/46.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB156, bitIndex1) | (~v100(constB156)) | (~v129(constB156, bitIndex1)))),
% 73.67/46.52 inference(quant_inst,[status(thm)],[])).
% 73.67/46.52 tff(23252,plain,
% 73.67/46.52 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1)) | (~v100(constB156))),
% 73.67/46.52 inference(modus_ponens,[status(thm)],[23251, 23250])).
% 73.67/46.52 tff(23253,plain,
% 73.67/46.52 (v90(constB156, bitIndex1) | (~v100(constB156))),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23252, 854, 23246])).
% 73.67/46.52 tff(23254,plain,
% 73.67/46.52 (v90(constB156, bitIndex1)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23253, 22943])).
% 73.67/46.52 tff(23255,plain,
% 73.67/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23256,plain,
% 73.67/46.52 (((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1)) <=> ((~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23257,plain,
% 73.67/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1)))),
% 73.67/46.52 inference(monotonicity,[status(thm)],[23256])).
% 73.67/46.52 tff(23258,plain,
% 73.67/46.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1))),
% 73.67/46.52 inference(transitivity,[status(thm)],[23257, 23255])).
% 73.67/46.52 tff(23259,plain,
% 73.67/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1))),
% 73.67/46.52 inference(quant_inst,[status(thm)],[])).
% 73.67/46.52 tff(23260,plain,
% 73.67/46.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex1)),
% 73.67/46.52 inference(modus_ponens,[status(thm)],[23259, 23258])).
% 73.67/46.52 tff(23261,plain,
% 73.67/46.52 ((~v90(constB156, bitIndex1)) | v100(constB157) | v90(constB157, bitIndex1)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23260, 872, 22974])).
% 73.67/46.52 tff(23262,plain,
% 73.67/46.52 ((~v90(constB156, bitIndex1)) | v90(constB157, bitIndex1)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23261, 22986])).
% 73.67/46.52 tff(23263,plain,
% 73.67/46.52 (v90(constB157, bitIndex1)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23262, 23254])).
% 73.67/46.52 tff(23264,plain,
% 73.67/46.52 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB157, bitIndex1)) | (~v120(constB157)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB157, bitIndex1)) | (~v120(constB157)))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23265,plain,
% 73.67/46.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB157, bitIndex1)) | (~v120(constB157)))),
% 73.67/46.52 inference(quant_inst,[status(thm)],[])).
% 73.67/46.52 tff(23266,plain,
% 73.67/46.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB157, bitIndex1)) | (~v120(constB157))),
% 73.67/46.52 inference(modus_ponens,[status(thm)],[23265, 23264])).
% 73.67/46.52 tff(23267,plain,
% 73.67/46.52 (~v120(constB157)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23266, 1919, 23263])).
% 73.67/46.52 tff(23268,plain,
% 73.67/46.52 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB157, bitIndex1)) | (~v124(constB157)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB157, bitIndex1)) | (~v124(constB157)))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23269,plain,
% 73.67/46.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB157, bitIndex1)) | (~v124(constB157)))),
% 73.67/46.52 inference(quant_inst,[status(thm)],[])).
% 73.67/46.52 tff(23270,plain,
% 73.67/46.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB157, bitIndex1)) | (~v124(constB157))),
% 73.67/46.52 inference(modus_ponens,[status(thm)],[23269, 23268])).
% 73.67/46.52 tff(23271,plain,
% 73.67/46.52 (~v124(constB157)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23270, 1941, 23263])).
% 73.67/46.52 tff(23272,plain,
% 73.67/46.52 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB157, bitIndex1)) | (~v123(constB157)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB157, bitIndex1)) | (~v123(constB157)))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23273,plain,
% 73.67/46.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB157, bitIndex1)) | (~v123(constB157)))),
% 73.67/46.52 inference(quant_inst,[status(thm)],[])).
% 73.67/46.52 tff(23274,plain,
% 73.67/46.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB157, bitIndex1)) | (~v123(constB157))),
% 73.67/46.52 inference(modus_ponens,[status(thm)],[23273, 23272])).
% 73.67/46.52 tff(23275,plain,
% 73.67/46.52 (~v123(constB157)),
% 73.67/46.52 inference(unit_resolution,[status(thm)],[23274, 1930, 23263])).
% 73.67/46.52 tff(23276,plain,
% 73.67/46.52 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB157)) | (~v90(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB157)) | (~v90(constB157, bitIndex1)))),
% 73.67/46.52 inference(rewrite,[status(thm)],[])).
% 73.67/46.52 tff(23277,plain,
% 73.67/46.52 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB157)) | (~v90(constB157, bitIndex1)))),
% 73.67/46.53 inference(quant_inst,[status(thm)],[])).
% 73.67/46.53 tff(23278,plain,
% 73.67/46.53 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB157)) | (~v90(constB157, bitIndex1))),
% 73.67/46.53 inference(modus_ponens,[status(thm)],[23277, 23276])).
% 73.67/46.53 tff(23279,plain,
% 73.67/46.53 (~v119(constB157)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23278, 1908, 23263])).
% 73.67/46.53 tff(23280,plain,
% 73.67/46.53 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB157, bitIndex1)) | v123(constB157) | v120(constB157) | v122(constB157) | v119(constB157) | v121(constB157) | v124(constB157))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB157, bitIndex1)) | v123(constB157) | v120(constB157) | v122(constB157) | v119(constB157) | v121(constB157) | v124(constB157))),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23281,plain,
% 73.67/46.53 ((v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex1))) <=> ((~v130(constB157, bitIndex1)) | v123(constB157) | v120(constB157) | v122(constB157) | v119(constB157) | v121(constB157) | v124(constB157))),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23282,plain,
% 73.67/46.53 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB157, bitIndex1)) | v123(constB157) | v120(constB157) | v122(constB157) | v119(constB157) | v121(constB157) | v124(constB157)))),
% 73.67/46.53 inference(monotonicity,[status(thm)],[23281])).
% 73.67/46.53 tff(23283,plain,
% 73.67/46.53 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB157, bitIndex1)) | v123(constB157) | v120(constB157) | v122(constB157) | v119(constB157) | v121(constB157) | v124(constB157))),
% 73.67/46.53 inference(transitivity,[status(thm)],[23282, 23280])).
% 73.67/46.53 tff(23284,plain,
% 73.67/46.53 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex1)))),
% 73.67/46.53 inference(quant_inst,[status(thm)],[])).
% 73.67/46.53 tff(23285,plain,
% 73.67/46.53 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB157, bitIndex1)) | v123(constB157) | v120(constB157) | v122(constB157) | v119(constB157) | v121(constB157) | v124(constB157)),
% 73.67/46.53 inference(modus_ponens,[status(thm)],[23284, 23283])).
% 73.67/46.53 tff(23286,plain,
% 73.67/46.53 (~v130(constB157, bitIndex1)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23285, 2146, 23279, 23275, 23271, 23267, 23232, 23228])).
% 73.67/46.53 tff(23287,plain,
% 73.67/46.53 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1))),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23288,plain,
% 73.67/46.53 ((v26(constB157) | v130(constB157, bitIndex1) | (~v127(constB157, bitIndex1))) <=> ((~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1))),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23289,plain,
% 73.67/46.53 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB157) | v130(constB157, bitIndex1) | (~v127(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1)))),
% 73.67/46.53 inference(monotonicity,[status(thm)],[23288])).
% 73.67/46.53 tff(23290,plain,
% 73.67/46.53 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB157) | v130(constB157, bitIndex1) | (~v127(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1))),
% 73.67/46.53 inference(transitivity,[status(thm)],[23289, 23287])).
% 73.67/46.53 tff(23291,plain,
% 73.67/46.53 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB157) | v130(constB157, bitIndex1) | (~v127(constB157, bitIndex1)))),
% 73.67/46.53 inference(quant_inst,[status(thm)],[])).
% 73.67/46.53 tff(23292,plain,
% 73.67/46.53 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB157, bitIndex1)) | v26(constB157) | v130(constB157, bitIndex1)),
% 73.67/46.53 inference(modus_ponens,[status(thm)],[23291, 23290])).
% 73.67/46.53 tff(23293,plain,
% 73.67/46.53 ((~v127(constB157, bitIndex1)) | v130(constB157, bitIndex1)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23292, 555, 23064])).
% 73.67/46.53 tff(23294,plain,
% 73.67/46.53 (~v127(constB157, bitIndex1)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23293, 23286])).
% 73.67/46.53 tff(23295,plain,
% 73.67/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1)))),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23296,plain,
% 73.67/46.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1)))),
% 73.67/46.53 inference(quant_inst,[status(thm)],[])).
% 73.67/46.53 tff(23297,plain,
% 73.67/46.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1))),
% 73.67/46.53 inference(modus_ponens,[status(thm)],[23296, 23295])).
% 73.67/46.53 tff(23298,plain,
% 73.67/46.53 (v127(constB157, bitIndex1) | (~v129(constB158, bitIndex1))),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23297, 588, 23079])).
% 73.67/46.53 tff(23299,plain,
% 73.67/46.53 (~v129(constB158, bitIndex1)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23298, 23294])).
% 73.67/46.53 tff(23300,plain,
% 73.67/46.53 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158)))),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23301,plain,
% 73.67/46.53 (((~v90(constB158, bitIndex1)) | (~v100(constB158)) | v129(constB158, bitIndex1)) <=> ((~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158)))),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23302,plain,
% 73.67/46.53 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | (~v100(constB158)) | v129(constB158, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158))))),
% 73.67/46.53 inference(monotonicity,[status(thm)],[23301])).
% 73.67/46.53 tff(23303,plain,
% 73.67/46.53 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | (~v100(constB158)) | v129(constB158, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158)))),
% 73.67/46.53 inference(transitivity,[status(thm)],[23302, 23300])).
% 73.67/46.53 tff(23304,plain,
% 73.67/46.53 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB158, bitIndex1)) | (~v100(constB158)) | v129(constB158, bitIndex1))),
% 73.67/46.53 inference(quant_inst,[status(thm)],[])).
% 73.67/46.53 tff(23305,plain,
% 73.67/46.53 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1) | (~v100(constB158))),
% 73.67/46.53 inference(modus_ponens,[status(thm)],[23304, 23303])).
% 73.67/46.53 tff(23306,plain,
% 73.67/46.53 ((~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23305, 603, 23113])).
% 73.67/46.53 tff(23307,plain,
% 73.67/46.53 (~v90(constB158, bitIndex1)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23306, 23299])).
% 73.67/46.53 tff(23308,plain,
% 73.67/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1)))),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23309,plain,
% 73.67/46.53 (((~nextState(constB158, constB159)) | v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1))) <=> (v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1)))),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23310,plain,
% 73.67/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1))))),
% 73.67/46.53 inference(monotonicity,[status(thm)],[23309])).
% 73.67/46.53 tff(23311,plain,
% 73.67/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1)))),
% 73.67/46.53 inference(transitivity,[status(thm)],[23310, 23308])).
% 73.67/46.53 tff(23312,plain,
% 73.67/46.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1)))),
% 73.67/46.53 inference(quant_inst,[status(thm)],[])).
% 73.67/46.53 tff(23313,plain,
% 73.67/46.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex1))),
% 73.67/46.53 inference(modus_ponens,[status(thm)],[23312, 23311])).
% 73.67/46.53 tff(23314,plain,
% 73.67/46.53 (v90(constB158, bitIndex1) | v100(constB159) | (~v90(constB159, bitIndex1))),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23313, 109, 23172])).
% 73.67/46.53 tff(23315,plain,
% 73.67/46.53 (v90(constB158, bitIndex1) | (~v90(constB159, bitIndex1))),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23314, 23184])).
% 73.67/46.53 tff(23316,plain,
% 73.67/46.53 (~v90(constB159, bitIndex1)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23315, 23307])).
% 73.67/46.53 tff(23317,plain,
% 73.67/46.53 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB157, bitIndex2)) | v123(constB157) | v120(constB157) | v122(constB157) | v119(constB157) | v121(constB157) | v124(constB157))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB157, bitIndex2)) | v123(constB157) | v120(constB157) | v122(constB157) | v119(constB157) | v121(constB157) | v124(constB157))),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23318,plain,
% 73.67/46.53 ((v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex2))) <=> ((~v130(constB157, bitIndex2)) | v123(constB157) | v120(constB157) | v122(constB157) | v119(constB157) | v121(constB157) | v124(constB157))),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23319,plain,
% 73.67/46.53 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB157, bitIndex2)) | v123(constB157) | v120(constB157) | v122(constB157) | v119(constB157) | v121(constB157) | v124(constB157)))),
% 73.67/46.53 inference(monotonicity,[status(thm)],[23318])).
% 73.67/46.53 tff(23320,plain,
% 73.67/46.53 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB157, bitIndex2)) | v123(constB157) | v120(constB157) | v122(constB157) | v119(constB157) | v121(constB157) | v124(constB157))),
% 73.67/46.53 inference(transitivity,[status(thm)],[23319, 23317])).
% 73.67/46.53 tff(23321,plain,
% 73.67/46.53 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB157) | v119(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, bitIndex2)))),
% 73.67/46.53 inference(quant_inst,[status(thm)],[])).
% 73.67/46.53 tff(23322,plain,
% 73.67/46.53 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB157, bitIndex2)) | v123(constB157) | v120(constB157) | v122(constB157) | v119(constB157) | v121(constB157) | v124(constB157)),
% 73.67/46.53 inference(modus_ponens,[status(thm)],[23321, 23320])).
% 73.67/46.53 tff(23323,plain,
% 73.67/46.53 (~v130(constB157, bitIndex2)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23322, 1955, 23279, 23275, 23271, 23267, 23232, 23228])).
% 73.67/46.53 tff(23324,plain,
% 73.67/46.53 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23325,plain,
% 73.67/46.53 ((v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2))) <=> ((~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23326,plain,
% 73.67/46.53 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2)))),
% 73.67/46.53 inference(monotonicity,[status(thm)],[23325])).
% 73.67/46.53 tff(23327,plain,
% 73.67/46.53 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))),
% 73.67/46.53 inference(transitivity,[status(thm)],[23326, 23324])).
% 73.67/46.53 tff(23328,plain,
% 73.67/46.53 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2)))),
% 73.67/46.53 inference(quant_inst,[status(thm)],[])).
% 73.67/46.53 tff(23329,plain,
% 73.67/46.53 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2)),
% 73.67/46.53 inference(modus_ponens,[status(thm)],[23328, 23327])).
% 73.67/46.53 tff(23330,plain,
% 73.67/46.53 ((~v127(constB157, bitIndex2)) | v130(constB157, bitIndex2)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23329, 470, 23064])).
% 73.67/46.53 tff(23331,plain,
% 73.67/46.53 (~v127(constB157, bitIndex2)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23330, 23323])).
% 73.67/46.53 tff(23332,plain,
% 73.67/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2)))),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23333,plain,
% 73.67/46.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2)))),
% 73.67/46.53 inference(quant_inst,[status(thm)],[])).
% 73.67/46.53 tff(23334,plain,
% 73.67/46.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2))),
% 73.67/46.53 inference(modus_ponens,[status(thm)],[23333, 23332])).
% 73.67/46.53 tff(23335,plain,
% 73.67/46.53 (v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2))),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23334, 488, 23079])).
% 73.67/46.53 tff(23336,plain,
% 73.67/46.53 (~v129(constB158, bitIndex2)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23335, 23331])).
% 73.67/46.53 tff(23337,plain,
% 73.67/46.53 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23338,plain,
% 73.67/46.53 (((~v90(constB158, bitIndex2)) | (~v100(constB158)) | v129(constB158, bitIndex2)) <=> ((~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23339,plain,
% 73.67/46.53 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB158, bitIndex2)) | (~v100(constB158)) | v129(constB158, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158))))),
% 73.67/46.53 inference(monotonicity,[status(thm)],[23338])).
% 73.67/46.53 tff(23340,plain,
% 73.67/46.53 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB158, bitIndex2)) | (~v100(constB158)) | v129(constB158, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))),
% 73.67/46.53 inference(transitivity,[status(thm)],[23339, 23337])).
% 73.67/46.53 tff(23341,plain,
% 73.67/46.53 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB158, bitIndex2)) | (~v100(constB158)) | v129(constB158, bitIndex2))),
% 73.67/46.53 inference(quant_inst,[status(thm)],[])).
% 73.67/46.53 tff(23342,plain,
% 73.67/46.53 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158))),
% 73.67/46.53 inference(modus_ponens,[status(thm)],[23341, 23340])).
% 73.67/46.53 tff(23343,plain,
% 73.67/46.53 ((~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23342, 503, 23113])).
% 73.67/46.53 tff(23344,plain,
% 73.67/46.53 (~v90(constB158, bitIndex2)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23343, 23336])).
% 73.67/46.53 tff(23345,plain,
% 73.67/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23346,plain,
% 73.67/46.53 (((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2))) <=> (v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23347,plain,
% 73.67/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2))))),
% 73.67/46.53 inference(monotonicity,[status(thm)],[23346])).
% 73.67/46.53 tff(23348,plain,
% 73.67/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 73.67/46.53 inference(transitivity,[status(thm)],[23347, 23345])).
% 73.67/46.53 tff(23349,plain,
% 73.67/46.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 73.67/46.53 inference(quant_inst,[status(thm)],[])).
% 73.67/46.53 tff(23350,plain,
% 73.67/46.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2))),
% 73.67/46.53 inference(modus_ponens,[status(thm)],[23349, 23348])).
% 73.67/46.53 tff(23351,plain,
% 73.67/46.53 (v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2))),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23350, 88, 23172])).
% 73.67/46.53 tff(23352,plain,
% 73.67/46.53 (v90(constB158, bitIndex2) | (~v90(constB159, bitIndex2))),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23351, 23184])).
% 73.67/46.53 tff(23353,plain,
% 73.67/46.53 (~v90(constB159, bitIndex2)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23352, 23344])).
% 73.67/46.53 tff(23354,assumption,(~v120(constB159)), introduced(assumption)).
% 73.67/46.53 tff(23355,plain,
% 73.67/46.53 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159))),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23356,plain,
% 73.67/46.53 (((~v90(constB159, bitIndex0)) | v120(constB159) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2)) <=> ((~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159))),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23357,plain,
% 73.67/46.53 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB159, bitIndex0)) | v120(constB159) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159)))),
% 73.67/46.53 inference(monotonicity,[status(thm)],[23356])).
% 73.67/46.53 tff(23358,plain,
% 73.67/46.53 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB159, bitIndex0)) | v120(constB159) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159))),
% 73.67/46.53 inference(transitivity,[status(thm)],[23357, 23355])).
% 73.67/46.53 tff(23359,plain,
% 73.67/46.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB159, bitIndex0)) | v120(constB159) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2))),
% 73.67/46.53 inference(quant_inst,[status(thm)],[])).
% 73.67/46.53 tff(23360,plain,
% 73.67/46.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | v120(constB159)),
% 73.67/46.53 inference(modus_ponens,[status(thm)],[23359, 23358])).
% 73.67/46.53 tff(23361,plain,
% 73.67/46.53 ((~v90(constB159, bitIndex0)) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23360, 631, 23354])).
% 73.67/46.53 tff(23362,plain,
% 73.67/46.53 ($false),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23361, 23353, 23316, 23193])).
% 73.67/46.53 tff(23363,plain,((~v124(constB155)) | v120(constB159)), inference(lemma,lemma(discharge,[]))).
% 73.67/46.53 tff(23364,plain,
% 73.67/46.53 (v120(constB159)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23363, 22884])).
% 73.67/46.53 tff(23365,plain,
% 73.67/46.53 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB159)) | v130(constB159, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB159)) | v130(constB159, bitIndex1))),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23366,plain,
% 73.67/46.53 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB159)) | v130(constB159, bitIndex1))),
% 73.67/46.53 inference(quant_inst,[status(thm)],[])).
% 73.67/46.53 tff(23367,plain,
% 73.67/46.53 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB159)) | v130(constB159, bitIndex1)),
% 73.67/46.53 inference(modus_ponens,[status(thm)],[23366, 23365])).
% 73.67/46.53 tff(23368,plain,
% 73.67/46.53 (v130(constB159, bitIndex1)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23367, 810, 23364])).
% 73.67/46.53 tff(23369,assumption,(v26(constB159)), introduced(assumption)).
% 73.67/46.53 tff(23370,plain,
% 73.67/46.53 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB159))),
% 73.67/46.53 inference(quant_inst,[status(thm)],[])).
% 73.67/46.53 tff(23371,plain,
% 73.67/46.53 ($false),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23370, 37, 23369])).
% 73.67/46.53 tff(23372,plain,(~v26(constB159)), inference(lemma,lemma(discharge,[]))).
% 73.67/46.53 tff(23373,plain,
% 73.67/46.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1))),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23374,plain,
% 73.67/46.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1))),
% 73.67/46.53 inference(quant_inst,[status(thm)],[])).
% 73.67/46.53 tff(23375,plain,
% 73.67/46.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1)),
% 73.67/46.53 inference(modus_ponens,[status(thm)],[23374, 23373])).
% 73.67/46.53 tff(23376,plain,
% 73.67/46.53 ((~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23375, 824, 23372])).
% 73.67/46.53 tff(23377,plain,
% 73.67/46.53 (v127(constB159, bitIndex1)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23376, 23368])).
% 73.67/46.53 tff(23378,plain,
% 73.67/46.53 (nextState(constB159, constB160) <=> nextState(constB159, constB160)),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23379,axiom,(nextState(constB159, constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_159_1')).
% 73.67/46.53 tff(23380,plain,
% 73.67/46.53 (nextState(constB159, constB160)),
% 73.67/46.53 inference(modus_ponens,[status(thm)],[23379, 23378])).
% 73.67/46.53 tff(23381,plain,
% 73.67/46.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1))),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23382,plain,
% 73.67/46.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1))),
% 73.67/46.53 inference(quant_inst,[status(thm)],[])).
% 73.67/46.53 tff(23383,plain,
% 73.67/46.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1)),
% 73.67/46.53 inference(modus_ponens,[status(thm)],[23382, 23381])).
% 73.67/46.53 tff(23384,plain,
% 73.67/46.53 ((~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23383, 839, 23380])).
% 73.67/46.53 tff(23385,plain,
% 73.67/46.53 (v129(constB160, bitIndex1)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23384, 23377])).
% 73.67/46.53 tff(23386,plain,
% 73.67/46.53 (v114(constB155)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[22888, 1718, 22884])).
% 73.67/46.53 tff(23387,plain,
% 73.67/46.53 (v113(constB155)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[22892, 287, 23386])).
% 73.67/46.53 tff(23388,plain,
% 73.67/46.53 (v112(constB155)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[22901, 23387])).
% 73.67/46.53 tff(23389,plain,
% 73.67/46.53 (v108(constB155)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[22905, 210, 23388])).
% 73.67/46.53 tff(23390,plain,
% 73.67/46.53 (v110(constB156)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[22916, 23389])).
% 73.67/46.53 tff(23391,plain,
% 73.67/46.53 (v100(constB156)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[22942, 23390])).
% 73.67/46.53 tff(23392,plain,
% 73.67/46.53 (~v130(constB155, bitIndex0)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[22946, 1992, 22884])).
% 73.67/46.53 tff(23393,plain,
% 73.67/46.53 (~v127(constB155, bitIndex0)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[22954, 23392])).
% 73.67/46.53 tff(23394,plain,
% 73.67/46.53 (~v129(constB156, bitIndex0)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[22959, 23393])).
% 73.67/46.53 tff(23395,plain,
% 73.67/46.53 ((~v90(constB156, bitIndex0)) | (~v100(constB156))),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[22966, 938, 23394])).
% 73.67/46.53 tff(23396,plain,
% 73.67/46.53 (~v90(constB156, bitIndex0)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23395, 23391])).
% 73.67/46.53 tff(23397,plain,
% 73.67/46.53 (~v90(constB157, bitIndex0)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[22994, 23396])).
% 73.67/46.53 tff(23398,plain,
% 73.67/46.53 (v113(constB157)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23059, 23021])).
% 73.67/46.53 tff(23399,plain,
% 73.67/46.53 (v112(constB157)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23071, 23398])).
% 73.67/46.53 tff(23400,plain,
% 73.67/46.53 (v130(constB157, bitIndex0)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23147, 23021])).
% 73.67/46.53 tff(23401,plain,
% 73.67/46.53 (v127(constB157, bitIndex0)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23152, 23400])).
% 73.67/46.53 tff(23402,plain,
% 73.67/46.53 (v129(constB158, bitIndex0)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23157, 23401])).
% 73.67/46.53 tff(23403,assumption,(~v90(constB158, bitIndex0)), introduced(assumption)).
% 73.67/46.53 tff(23404,plain,
% 73.67/46.53 ((~v129(constB158, bitIndex0)) | (~v100(constB158))),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23164, 401, 23403])).
% 73.67/46.53 tff(23405,plain,
% 73.67/46.53 (~v100(constB158)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23404, 23402])).
% 73.67/46.53 tff(23406,plain,
% 73.67/46.53 (~v110(constB158)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23112, 23405])).
% 73.67/46.53 tff(23407,plain,
% 73.67/46.53 (~v108(constB157)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23086, 23406])).
% 73.67/46.53 tff(23408,plain,
% 73.67/46.53 ($false),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23075, 210, 23407, 23399])).
% 73.67/46.53 tff(23409,plain,(v90(constB157, bitIndex0) | v90(constB158, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.67/46.53 tff(23410,plain,
% 73.67/46.53 (v90(constB158, bitIndex0)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23409, 23397])).
% 73.67/46.53 tff(23411,plain,
% 73.67/46.53 (v90(constB159, bitIndex0)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23192, 23410])).
% 73.67/46.53 tff(23412,plain,
% 73.67/46.53 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB159)) | (~v130(constB159, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB159)) | (~v130(constB159, bitIndex0)))),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23413,plain,
% 73.67/46.53 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB159)) | (~v130(constB159, bitIndex0)))),
% 73.67/46.53 inference(quant_inst,[status(thm)],[])).
% 73.67/46.53 tff(23414,plain,
% 73.67/46.53 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB159)) | (~v130(constB159, bitIndex0))),
% 73.67/46.53 inference(modus_ponens,[status(thm)],[23413, 23412])).
% 73.67/46.53 tff(23415,plain,
% 73.67/46.53 (~v130(constB159, bitIndex0)),
% 73.67/46.53 inference(unit_resolution,[status(thm)],[23414, 891, 23364])).
% 73.67/46.53 tff(23416,plain,
% 73.67/46.53 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0))),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23417,plain,
% 73.67/46.53 ((v26(constB159) | v130(constB159, bitIndex0) | (~v127(constB159, bitIndex0))) <=> ((~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0))),
% 73.67/46.53 inference(rewrite,[status(thm)],[])).
% 73.67/46.53 tff(23418,plain,
% 73.67/46.53 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB159) | v130(constB159, bitIndex0) | (~v127(constB159, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0)))),
% 73.67/46.53 inference(monotonicity,[status(thm)],[23417])).
% 73.67/46.53 tff(23419,plain,
% 73.67/46.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB159) | v130(constB159, bitIndex0) | (~v127(constB159, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0))),
% 73.67/46.54 inference(transitivity,[status(thm)],[23418, 23416])).
% 73.67/46.54 tff(23420,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB159) | v130(constB159, bitIndex0) | (~v127(constB159, bitIndex0)))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23421,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB159, bitIndex0)) | v26(constB159) | v130(constB159, bitIndex0)),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23420, 23419])).
% 73.67/46.54 tff(23422,plain,
% 73.67/46.54 ((~v127(constB159, bitIndex0)) | v130(constB159, bitIndex0)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23421, 905, 23372])).
% 73.67/46.54 tff(23423,plain,
% 73.67/46.54 (~v127(constB159, bitIndex0)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23422, 23415])).
% 73.67/46.54 tff(23424,assumption,(~v127(constB159, bitIndex0)), introduced(assumption)).
% 73.67/46.54 tff(23425,plain,
% 73.67/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0)))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23426,plain,
% 73.67/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0)))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23427,plain,
% 73.67/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0))),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23426, 23425])).
% 73.67/46.54 tff(23428,plain,
% 73.67/46.54 (v127(constB159, bitIndex0) | (~v129(constB160, bitIndex0))),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23427, 923, 23380])).
% 73.67/46.54 tff(23429,plain,
% 73.67/46.54 (~v129(constB160, bitIndex0)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23428, 23424])).
% 73.67/46.54 tff(23430,assumption,(v90(constB160, bitIndex0)), introduced(assumption)).
% 73.67/46.54 tff(23431,plain,
% 73.67/46.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160)))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23432,plain,
% 73.67/46.54 (((~v90(constB160, bitIndex0)) | (~v100(constB160)) | v129(constB160, bitIndex0)) <=> ((~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160)))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23433,plain,
% 73.67/46.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | (~v100(constB160)) | v129(constB160, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160))))),
% 73.67/46.54 inference(monotonicity,[status(thm)],[23432])).
% 73.67/46.54 tff(23434,plain,
% 73.67/46.54 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | (~v100(constB160)) | v129(constB160, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160)))),
% 73.67/46.54 inference(transitivity,[status(thm)],[23433, 23431])).
% 73.67/46.54 tff(23435,plain,
% 73.67/46.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB160, bitIndex0)) | (~v100(constB160)) | v129(constB160, bitIndex0))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23436,plain,
% 73.67/46.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0) | (~v100(constB160))),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23435, 23434])).
% 73.67/46.54 tff(23437,plain,
% 73.67/46.54 (v129(constB160, bitIndex0) | (~v100(constB160))),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23436, 938, 23430])).
% 73.67/46.54 tff(23438,plain,
% 73.67/46.54 (~v100(constB160)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23437, 23429])).
% 73.67/46.54 tff(23439,assumption,(~v108(constB159)), introduced(assumption)).
% 73.67/46.54 tff(23440,plain,
% 73.67/46.54 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB159) | (~v112(constB159)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB159) | (~v112(constB159)))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23441,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB159) | (~v112(constB159)))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23442,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB159) | (~v112(constB159))),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23441, 23440])).
% 73.67/46.54 tff(23443,plain,
% 73.67/46.54 (~v112(constB159)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23442, 210, 23439])).
% 73.67/46.54 tff(23444,plain,
% 73.67/46.54 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB159) | (~v26(constB159)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB159) | (~v26(constB159)))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23445,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB159) | (~v26(constB159)))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23446,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB159) | (~v26(constB159))),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23445, 23444])).
% 73.67/46.54 tff(23447,plain,
% 73.67/46.54 (~v26(constB159)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23446, 221, 23439])).
% 73.67/46.54 tff(23448,plain,
% 73.67/46.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | v112(constB159) | (~v113(constB159)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | v112(constB159) | (~v113(constB159)))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23449,plain,
% 73.67/46.54 ((v26(constB159) | (~v113(constB159)) | v112(constB159)) <=> (v26(constB159) | v112(constB159) | (~v113(constB159)))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23450,plain,
% 73.67/46.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | v112(constB159) | (~v113(constB159))))),
% 73.67/46.54 inference(monotonicity,[status(thm)],[23449])).
% 73.67/46.54 tff(23451,plain,
% 73.67/46.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | v112(constB159) | (~v113(constB159)))),
% 73.67/46.54 inference(transitivity,[status(thm)],[23450, 23448])).
% 73.67/46.54 tff(23452,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23453,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | v112(constB159) | (~v113(constB159))),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23452, 23451])).
% 73.67/46.54 tff(23454,plain,
% 73.67/46.54 (~v113(constB159)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23453, 301, 23447, 23443])).
% 73.67/46.54 tff(23455,plain,
% 73.67/46.54 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB159) | (~v114(constB159)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB159) | (~v114(constB159)))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23456,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB159) | (~v114(constB159)))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23457,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB159) | (~v114(constB159))),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23456, 23455])).
% 73.67/46.54 tff(23458,plain,
% 73.67/46.54 (~v114(constB159)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23457, 287, 23454])).
% 73.67/46.54 tff(23459,plain,
% 73.67/46.54 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB159) | (~v115(constB159)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB159) | (~v115(constB159)))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23460,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB159) | (~v115(constB159)))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23461,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB159) | (~v115(constB159))),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23460, 23459])).
% 73.67/46.54 tff(23462,plain,
% 73.67/46.54 (~v115(constB159)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23461, 276, 23458])).
% 73.67/46.54 tff(23463,plain,
% 73.67/46.54 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB159) | (~v116(constB159)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB159) | (~v116(constB159)))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23464,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB159) | (~v116(constB159)))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23465,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB159) | (~v116(constB159))),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23464, 23463])).
% 73.67/46.54 tff(23466,plain,
% 73.67/46.54 (~v116(constB159)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23465, 265, 23462])).
% 73.67/46.54 tff(23467,plain,
% 73.67/46.54 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB159) | (~v117(constB159)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB159) | (~v117(constB159)))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23468,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB159) | (~v117(constB159)))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23469,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB159) | (~v117(constB159))),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23468, 23467])).
% 73.67/46.54 tff(23470,plain,
% 73.67/46.54 (~v117(constB159)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23469, 254, 23466])).
% 73.67/46.54 tff(23471,plain,
% 73.67/46.54 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB159) | (~v118(constB159)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB159) | (~v118(constB159)))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23472,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB159) | (~v118(constB159)))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23473,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB159) | (~v118(constB159))),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23472, 23471])).
% 73.67/46.54 tff(23474,plain,
% 73.67/46.54 (~v118(constB159)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23473, 243, 23470])).
% 73.67/46.54 tff(23475,plain,
% 73.67/46.54 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB159) | (~v124(constB159)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB159) | (~v124(constB159)))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23476,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB159) | (~v124(constB159)))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23477,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB159) | (~v124(constB159))),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23476, 23475])).
% 73.67/46.54 tff(23478,plain,
% 73.67/46.54 (~v124(constB159)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23477, 1718, 23458])).
% 73.67/46.54 tff(23479,plain,
% 73.67/46.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB159) | (~v130(constB159, bitIndex0)) | v127(constB159, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB159) | (~v130(constB159, bitIndex0)) | v127(constB159, bitIndex0))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23480,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB159) | (~v130(constB159, bitIndex0)) | v127(constB159, bitIndex0))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23481,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB159) | (~v130(constB159, bitIndex0)) | v127(constB159, bitIndex0)),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23480, 23479])).
% 73.67/46.54 tff(23482,plain,
% 73.67/46.54 (v26(constB159) | (~v130(constB159, bitIndex0))),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23481, 179, 23424])).
% 73.67/46.54 tff(23483,plain,
% 73.67/46.54 (~v130(constB159, bitIndex0)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23482, 23447])).
% 73.67/46.54 tff(23484,plain,
% 73.67/46.54 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB159)) | v130(constB159, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB159)) | v130(constB159, bitIndex0))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23485,plain,
% 73.67/46.54 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB159)) | v130(constB159, bitIndex0))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23486,plain,
% 73.67/46.54 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB159)) | v130(constB159, bitIndex0)),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23485, 23484])).
% 73.67/46.54 tff(23487,plain,
% 73.67/46.54 (~v123(constB159)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23486, 1666, 23483])).
% 73.67/46.54 tff(23488,plain,
% 73.67/46.54 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB159)) | v130(constB159, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB159)) | v130(constB159, bitIndex0))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23489,plain,
% 73.67/46.54 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB159)) | v130(constB159, bitIndex0))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23490,plain,
% 73.67/46.54 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB159)) | v130(constB159, bitIndex0)),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23489, 23488])).
% 73.67/46.54 tff(23491,plain,
% 73.67/46.54 (~v119(constB159)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23490, 165, 23483])).
% 73.67/46.54 tff(23492,plain,
% 73.67/46.54 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB159)) | v130(constB159, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB159)) | v130(constB159, bitIndex0))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23493,plain,
% 73.67/46.54 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB159)) | v130(constB159, bitIndex0))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23494,plain,
% 73.67/46.54 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB159)) | v130(constB159, bitIndex0)),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23493, 23492])).
% 73.67/46.54 tff(23495,plain,
% 73.67/46.54 (~v121(constB159)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23494, 1162, 23483])).
% 73.67/46.54 tff(23496,plain,
% 73.67/46.54 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB159) | (~v122(constB159)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB159) | (~v122(constB159)))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23497,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB159) | (~v122(constB159)))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23498,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB159) | (~v122(constB159))),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23497, 23496])).
% 73.67/46.54 tff(23499,plain,
% 73.67/46.54 (~v122(constB159)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23498, 1214, 23466])).
% 73.67/46.54 tff(23500,plain,
% 73.67/46.54 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB159, bitIndex0) | v120(constB159) | v119(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB159, bitIndex0) | v120(constB159) | v119(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23501,plain,
% 73.67/46.54 ((v120(constB159) | v119(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | v130(constB159, bitIndex0)) <=> (v130(constB159, bitIndex0) | v120(constB159) | v119(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23502,plain,
% 73.67/46.54 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB159) | v119(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | v130(constB159, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB159, bitIndex0) | v120(constB159) | v119(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159)))),
% 73.67/46.54 inference(monotonicity,[status(thm)],[23501])).
% 73.67/46.54 tff(23503,plain,
% 73.67/46.54 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB159) | v119(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | v130(constB159, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB159, bitIndex0) | v120(constB159) | v119(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159))),
% 73.67/46.54 inference(transitivity,[status(thm)],[23502, 23500])).
% 73.67/46.54 tff(23504,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB159) | v119(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | v130(constB159, bitIndex0))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23505,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB159, bitIndex0) | v120(constB159) | v119(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159)),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23504, 23503])).
% 73.67/46.54 tff(23506,plain,
% 73.67/46.54 (v120(constB159) | v119(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23505, 2192, 23483])).
% 73.67/46.54 tff(23507,plain,
% 73.67/46.54 (v120(constB159)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23506, 23499, 23495, 23491, 23487, 23478])).
% 73.67/46.54 tff(23508,plain,
% 73.67/46.54 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB159) | (~v120(constB159)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB159) | (~v120(constB159)))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23509,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB159) | (~v120(constB159)))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23510,plain,
% 73.67/46.54 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB159) | (~v120(constB159))),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23509, 23508])).
% 73.67/46.54 tff(23511,plain,
% 73.67/46.54 ($false),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23510, 646, 23507, 23474])).
% 73.67/46.54 tff(23512,plain,(v108(constB159) | v127(constB159, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.67/46.54 tff(23513,plain,
% 73.67/46.54 (v108(constB159)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23512, 23424])).
% 73.67/46.54 tff(23514,plain,
% 73.67/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23515,plain,
% 73.67/46.54 (((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160)) <=> ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23516,plain,
% 73.67/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159))))),
% 73.67/46.54 inference(monotonicity,[status(thm)],[23515])).
% 73.67/46.54 tff(23517,plain,
% 73.67/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 73.67/46.54 inference(transitivity,[status(thm)],[23516, 23514])).
% 73.67/46.54 tff(23518,plain,
% 73.67/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23519,plain,
% 73.67/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159))),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23518, 23517])).
% 73.67/46.54 tff(23520,plain,
% 73.67/46.54 (v110(constB160) | (~v108(constB159))),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23519, 317, 23380])).
% 73.67/46.54 tff(23521,plain,
% 73.67/46.54 (v110(constB160)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23520, 23513])).
% 73.67/46.54 tff(23522,plain,
% 73.67/46.54 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23523,plain,
% 73.67/46.54 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23524,plain,
% 73.67/46.54 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160))),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23523, 23522])).
% 73.67/46.54 tff(23525,plain,
% 73.67/46.54 (~v104(constB160)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23524, 335, 23380, 23169])).
% 73.67/46.54 tff(23526,plain,
% 73.67/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23527,plain,
% 73.67/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23528,plain,
% 73.67/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v102(constB160) | v104(constB160)),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23527, 23526])).
% 73.67/46.54 tff(23529,plain,
% 73.67/46.54 (v102(constB160) | v104(constB160)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23528, 349, 23380])).
% 73.67/46.54 tff(23530,plain,
% 73.67/46.54 (v102(constB160)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23529, 23525])).
% 73.67/46.54 tff(23531,plain,
% 73.67/46.54 (v1(constB160) <=> v1(constB160)),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23532,axiom,(v1(constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_160_1')).
% 73.67/46.54 tff(23533,plain,
% 73.67/46.54 (v1(constB160)),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23532, 23531])).
% 73.67/46.54 tff(23534,plain,
% 73.67/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23535,plain,
% 73.67/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23536,plain,
% 73.67/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160))),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23535, 23534])).
% 73.67/46.54 tff(23537,plain,
% 73.67/46.54 (v101(constB160) | (~v102(constB160))),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23536, 367, 23380, 23533])).
% 73.67/46.54 tff(23538,plain,
% 73.67/46.54 (v101(constB160)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23537, 23530])).
% 73.67/46.54 tff(23539,plain,
% 73.67/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23540,plain,
% 73.67/46.54 (((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160)) <=> ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23541,plain,
% 73.67/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160))))),
% 73.67/46.54 inference(monotonicity,[status(thm)],[23540])).
% 73.67/46.54 tff(23542,plain,
% 73.67/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 73.67/46.54 inference(transitivity,[status(thm)],[23541, 23539])).
% 73.67/46.54 tff(23543,plain,
% 73.67/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23544,plain,
% 73.67/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160))),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23543, 23542])).
% 73.67/46.54 tff(23545,plain,
% 73.67/46.54 (v100(constB160) | (~v101(constB160)) | (~v110(constB160))),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23544, 382, 23380])).
% 73.67/46.54 tff(23546,plain,
% 73.67/46.54 (v100(constB160) | (~v110(constB160))),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23545, 23538])).
% 73.67/46.54 tff(23547,plain,
% 73.67/46.54 ($false),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23546, 23521, 23438])).
% 73.67/46.54 tff(23548,plain,(v127(constB159, bitIndex0) | (~v90(constB160, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 73.67/46.54 tff(23549,plain,
% 73.67/46.54 (~v90(constB160, bitIndex0)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23548, 23423])).
% 73.67/46.54 tff(23550,plain,
% 73.67/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB159, bitIndex0)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB159, bitIndex0)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, bitIndex0))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23551,plain,
% 73.67/46.54 (((~nextState(constB159, constB160)) | (~v90(constB159, bitIndex0)) | v100(constB160) | v90(constB160, bitIndex0)) <=> ((~v90(constB159, bitIndex0)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, bitIndex0))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23552,plain,
% 73.67/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB159, constB160)) | (~v90(constB159, bitIndex0)) | v100(constB160) | v90(constB160, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB159, bitIndex0)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, bitIndex0)))),
% 73.67/46.54 inference(monotonicity,[status(thm)],[23551])).
% 73.67/46.54 tff(23553,plain,
% 73.67/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB159, constB160)) | (~v90(constB159, bitIndex0)) | v100(constB160) | v90(constB160, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB159, bitIndex0)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, bitIndex0))),
% 73.67/46.54 inference(transitivity,[status(thm)],[23552, 23550])).
% 73.67/46.54 tff(23554,plain,
% 73.67/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB159, constB160)) | (~v90(constB159, bitIndex0)) | v100(constB160) | v90(constB160, bitIndex0))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23555,plain,
% 73.67/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB159, bitIndex0)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, bitIndex0)),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23554, 23553])).
% 73.67/46.54 tff(23556,plain,
% 73.67/46.54 ((~v90(constB159, bitIndex0)) | v100(constB160) | v90(constB160, bitIndex0)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23555, 437, 23380])).
% 73.67/46.54 tff(23557,plain,
% 73.67/46.54 (v100(constB160)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23556, 23549, 23411])).
% 73.67/46.54 tff(23558,plain,
% 73.67/46.54 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23559,plain,
% 73.67/46.54 ((v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1))) <=> (v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23560,plain,
% 73.67/46.54 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160))))),
% 73.67/46.54 inference(monotonicity,[status(thm)],[23559])).
% 73.67/46.54 tff(23561,plain,
% 73.67/46.54 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))),
% 73.67/46.54 inference(transitivity,[status(thm)],[23560, 23558])).
% 73.67/46.54 tff(23562,plain,
% 73.67/46.54 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1)))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23563,plain,
% 73.67/46.54 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160))),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23562, 23561])).
% 73.67/46.54 tff(23564,plain,
% 73.67/46.54 (v90(constB160, bitIndex1)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23563, 854, 23557, 23385])).
% 73.67/46.54 tff(23565,plain,
% 73.67/46.54 ((~v1(constB161)) <=> (~v1(constB161))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23566,axiom,(~v1(constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_161_1_1')).
% 73.67/46.54 tff(23567,plain,
% 73.67/46.54 (~v1(constB161)),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23566, 23565])).
% 73.67/46.54 tff(23568,plain,
% 73.67/46.54 (nextState(constB160, constB161) <=> nextState(constB160, constB161)),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23569,axiom,(nextState(constB160, constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_160_1')).
% 73.67/46.54 tff(23570,plain,
% 73.67/46.54 (nextState(constB160, constB161)),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23569, 23568])).
% 73.67/46.54 tff(23571,plain,
% 73.67/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23572,plain,
% 73.67/46.54 (((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161)) <=> (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23573,plain,
% 73.67/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161))))),
% 73.67/46.54 inference(monotonicity,[status(thm)],[23572])).
% 73.67/46.54 tff(23574,plain,
% 73.67/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 73.67/46.54 inference(transitivity,[status(thm)],[23573, 23571])).
% 73.67/46.54 tff(23575,plain,
% 73.67/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23576,plain,
% 73.67/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161))),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23575, 23574])).
% 73.67/46.54 tff(23577,plain,
% 73.67/46.54 (~v101(constB161)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23576, 56, 23570, 23567])).
% 73.67/46.54 tff(23578,plain,
% 73.67/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23579,plain,
% 73.67/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))),
% 73.67/46.54 inference(quant_inst,[status(thm)],[])).
% 73.67/46.54 tff(23580,plain,
% 73.67/46.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161))),
% 73.67/46.54 inference(modus_ponens,[status(thm)],[23579, 23578])).
% 73.67/46.54 tff(23581,plain,
% 73.67/46.54 (v101(constB161) | (~v100(constB161))),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23580, 73, 23570])).
% 73.67/46.54 tff(23582,plain,
% 73.67/46.54 (~v100(constB161)),
% 73.67/46.54 inference(unit_resolution,[status(thm)],[23581, 23577])).
% 73.67/46.54 tff(23583,plain,
% 73.67/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23584,plain,
% 73.67/46.54 (((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1)) <=> ((~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))),
% 73.67/46.54 inference(rewrite,[status(thm)],[])).
% 73.67/46.54 tff(23585,plain,
% 73.67/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1)))),
% 73.67/46.54 inference(monotonicity,[status(thm)],[23584])).
% 73.67/46.54 tff(23586,plain,
% 73.67/46.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))),
% 73.67/46.55 inference(transitivity,[status(thm)],[23585, 23583])).
% 73.67/46.55 tff(23587,plain,
% 73.67/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1))),
% 73.67/46.55 inference(quant_inst,[status(thm)],[])).
% 73.67/46.55 tff(23588,plain,
% 73.67/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1)),
% 73.67/46.55 inference(modus_ponens,[status(thm)],[23587, 23586])).
% 73.67/46.55 tff(23589,plain,
% 73.67/46.55 ((~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23588, 872, 23570])).
% 73.67/46.55 tff(23590,plain,
% 73.67/46.55 ((~v90(constB160, bitIndex1)) | v90(constB161, bitIndex1)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23589, 23582])).
% 73.67/46.55 tff(23591,plain,
% 73.67/46.55 (v90(constB161, bitIndex1)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23590, 23564])).
% 73.67/46.55 tff(23592,plain,
% 73.67/46.55 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB159)) | (~v130(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB159)) | (~v130(constB159, bitIndex2)))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23593,plain,
% 73.67/46.55 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB159)) | (~v130(constB159, bitIndex2)))),
% 73.67/46.55 inference(quant_inst,[status(thm)],[])).
% 73.67/46.55 tff(23594,plain,
% 73.67/46.55 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB159)) | (~v130(constB159, bitIndex2))),
% 73.67/46.55 inference(modus_ponens,[status(thm)],[23593, 23592])).
% 73.67/46.55 tff(23595,plain,
% 73.67/46.55 (~v130(constB159, bitIndex2)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23594, 730, 23364])).
% 73.67/46.55 tff(23596,plain,
% 73.67/46.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23597,plain,
% 73.67/46.55 ((v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2))) <=> ((~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23598,plain,
% 73.67/46.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2)))),
% 73.67/46.55 inference(monotonicity,[status(thm)],[23597])).
% 73.67/46.55 tff(23599,plain,
% 73.67/46.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))),
% 73.67/46.55 inference(transitivity,[status(thm)],[23598, 23596])).
% 73.67/46.55 tff(23600,plain,
% 73.67/46.55 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2)))),
% 73.67/46.55 inference(quant_inst,[status(thm)],[])).
% 73.67/46.55 tff(23601,plain,
% 73.67/46.55 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2)),
% 73.67/46.55 inference(modus_ponens,[status(thm)],[23600, 23599])).
% 73.67/46.55 tff(23602,plain,
% 73.67/46.55 ((~v127(constB159, bitIndex2)) | v130(constB159, bitIndex2)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23601, 470, 23372])).
% 73.67/46.55 tff(23603,plain,
% 73.67/46.55 (~v127(constB159, bitIndex2)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23602, 23595])).
% 73.67/46.55 tff(23604,plain,
% 73.67/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2)))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23605,plain,
% 73.67/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2)))),
% 73.67/46.55 inference(quant_inst,[status(thm)],[])).
% 73.67/46.55 tff(23606,plain,
% 73.67/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2))),
% 73.67/46.55 inference(modus_ponens,[status(thm)],[23605, 23604])).
% 73.67/46.55 tff(23607,plain,
% 73.67/46.55 (v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2))),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23606, 488, 23380])).
% 73.67/46.55 tff(23608,plain,
% 73.67/46.55 (~v129(constB160, bitIndex2)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23607, 23603])).
% 73.67/46.55 tff(23609,plain,
% 73.67/46.55 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23610,plain,
% 73.67/46.55 (((~v90(constB160, bitIndex2)) | (~v100(constB160)) | v129(constB160, bitIndex2)) <=> ((~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23611,plain,
% 73.67/46.55 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB160, bitIndex2)) | (~v100(constB160)) | v129(constB160, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160))))),
% 73.67/46.55 inference(monotonicity,[status(thm)],[23610])).
% 73.67/46.55 tff(23612,plain,
% 73.67/46.55 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB160, bitIndex2)) | (~v100(constB160)) | v129(constB160, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))),
% 73.67/46.55 inference(transitivity,[status(thm)],[23611, 23609])).
% 73.67/46.55 tff(23613,plain,
% 73.67/46.55 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB160, bitIndex2)) | (~v100(constB160)) | v129(constB160, bitIndex2))),
% 73.67/46.55 inference(quant_inst,[status(thm)],[])).
% 73.67/46.55 tff(23614,plain,
% 73.67/46.55 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160))),
% 73.67/46.55 inference(modus_ponens,[status(thm)],[23613, 23612])).
% 73.67/46.55 tff(23615,plain,
% 73.67/46.55 (~v90(constB160, bitIndex2)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23614, 503, 23557, 23608])).
% 73.67/46.55 tff(23616,plain,
% 73.67/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23617,plain,
% 73.67/46.55 (((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2))) <=> (v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23618,plain,
% 73.67/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2))))),
% 73.67/46.55 inference(monotonicity,[status(thm)],[23617])).
% 73.67/46.55 tff(23619,plain,
% 73.67/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 73.67/46.55 inference(transitivity,[status(thm)],[23618, 23616])).
% 73.67/46.55 tff(23620,plain,
% 73.67/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 73.67/46.55 inference(quant_inst,[status(thm)],[])).
% 73.67/46.55 tff(23621,plain,
% 73.67/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2))),
% 73.67/46.55 inference(modus_ponens,[status(thm)],[23620, 23619])).
% 73.67/46.55 tff(23622,plain,
% 73.67/46.55 (v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2))),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23621, 88, 23570])).
% 73.67/46.55 tff(23623,plain,
% 73.67/46.55 (v90(constB160, bitIndex2) | (~v90(constB161, bitIndex2))),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23622, 23582])).
% 73.67/46.55 tff(23624,plain,
% 73.67/46.55 (~v90(constB161, bitIndex2)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23623, 23615])).
% 73.67/46.55 tff(23625,plain,
% 73.67/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0)))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23626,plain,
% 73.67/46.55 (((~nextState(constB160, constB161)) | v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0))) <=> (v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0)))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23627,plain,
% 73.67/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0))))),
% 73.67/46.55 inference(monotonicity,[status(thm)],[23626])).
% 73.67/46.55 tff(23628,plain,
% 73.67/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0)))),
% 73.67/46.55 inference(transitivity,[status(thm)],[23627, 23625])).
% 73.67/46.55 tff(23629,plain,
% 73.67/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB160, constB161)) | v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0)))),
% 73.67/46.55 inference(quant_inst,[status(thm)],[])).
% 73.67/46.55 tff(23630,plain,
% 73.67/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex0))),
% 73.67/46.55 inference(modus_ponens,[status(thm)],[23629, 23628])).
% 73.67/46.55 tff(23631,plain,
% 73.67/46.55 (v90(constB160, bitIndex0) | v100(constB161) | (~v90(constB161, bitIndex0))),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23630, 130, 23570])).
% 73.67/46.55 tff(23632,plain,
% 73.67/46.55 (v90(constB160, bitIndex0) | (~v90(constB161, bitIndex0))),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23631, 23582])).
% 73.67/46.55 tff(23633,plain,
% 73.67/46.55 (~v90(constB161, bitIndex0)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23632, 23549])).
% 73.67/46.55 tff(23634,plain,
% 73.67/46.55 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v121(constB161))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v121(constB161))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23635,plain,
% 73.67/46.55 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v121(constB161))),
% 73.67/46.55 inference(quant_inst,[status(thm)],[])).
% 73.67/46.55 tff(23636,plain,
% 73.67/46.55 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v121(constB161)),
% 73.67/46.55 inference(modus_ponens,[status(thm)],[23635, 23634])).
% 73.67/46.55 tff(23637,plain,
% 73.67/46.55 ((~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v121(constB161)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23636, 965, 23633])).
% 73.67/46.55 tff(23638,plain,
% 73.67/46.55 (v121(constB161)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23637, 23624, 23591])).
% 73.67/46.55 tff(23639,plain,
% 73.67/46.55 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB161)) | v130(constB161, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB161)) | v130(constB161, bitIndex1))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23640,plain,
% 73.67/46.55 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB161)) | v130(constB161, bitIndex1))),
% 73.67/46.55 inference(quant_inst,[status(thm)],[])).
% 73.67/46.55 tff(23641,plain,
% 73.67/46.55 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB161)) | v130(constB161, bitIndex1)),
% 73.67/46.55 inference(modus_ponens,[status(thm)],[23640, 23639])).
% 73.67/46.55 tff(23642,plain,
% 73.67/46.55 (v130(constB161, bitIndex1)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23641, 1121, 23638])).
% 73.67/46.55 tff(23643,assumption,(v26(constB161)), introduced(assumption)).
% 73.67/46.55 tff(23644,plain,
% 73.67/46.55 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB161))),
% 73.67/46.55 inference(quant_inst,[status(thm)],[])).
% 73.67/46.55 tff(23645,plain,
% 73.67/46.55 ($false),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23644, 37, 23643])).
% 73.67/46.55 tff(23646,plain,(~v26(constB161)), inference(lemma,lemma(discharge,[]))).
% 73.67/46.55 tff(23647,plain,
% 73.67/46.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB161) | (~v130(constB161, bitIndex1)) | v127(constB161, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB161) | (~v130(constB161, bitIndex1)) | v127(constB161, bitIndex1))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23648,plain,
% 73.67/46.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB161) | (~v130(constB161, bitIndex1)) | v127(constB161, bitIndex1))),
% 73.67/46.55 inference(quant_inst,[status(thm)],[])).
% 73.67/46.55 tff(23649,plain,
% 73.67/46.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB161) | (~v130(constB161, bitIndex1)) | v127(constB161, bitIndex1)),
% 73.67/46.55 inference(modus_ponens,[status(thm)],[23648, 23647])).
% 73.67/46.55 tff(23650,plain,
% 73.67/46.55 ((~v130(constB161, bitIndex1)) | v127(constB161, bitIndex1)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23649, 824, 23646])).
% 73.67/46.55 tff(23651,plain,
% 73.67/46.55 (v127(constB161, bitIndex1)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23650, 23642])).
% 73.67/46.55 tff(23652,plain,
% 73.67/46.55 (nextState(constB161, constB162) <=> nextState(constB161, constB162)),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23653,axiom,(nextState(constB161, constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_161_1')).
% 73.67/46.55 tff(23654,plain,
% 73.67/46.55 (nextState(constB161, constB162)),
% 73.67/46.55 inference(modus_ponens,[status(thm)],[23653, 23652])).
% 73.67/46.55 tff(23655,plain,
% 73.67/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex1)) | v129(constB162, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex1)) | v129(constB162, bitIndex1))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23656,plain,
% 73.67/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex1)) | v129(constB162, bitIndex1))),
% 73.67/46.55 inference(quant_inst,[status(thm)],[])).
% 73.67/46.55 tff(23657,plain,
% 73.67/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex1)) | v129(constB162, bitIndex1)),
% 73.67/46.55 inference(modus_ponens,[status(thm)],[23656, 23655])).
% 73.67/46.55 tff(23658,plain,
% 73.67/46.55 ((~v127(constB161, bitIndex1)) | v129(constB162, bitIndex1)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23657, 839, 23654])).
% 73.67/46.55 tff(23659,plain,
% 73.67/46.55 (v129(constB162, bitIndex1)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23658, 23651])).
% 73.67/46.55 tff(23660,assumption,(v121(constB161)), introduced(assumption)).
% 73.67/46.55 tff(23661,plain,
% 73.67/46.55 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB161)) | v130(constB161, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB161)) | v130(constB161, bitIndex0))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23662,plain,
% 73.67/46.55 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB161)) | v130(constB161, bitIndex0))),
% 73.67/46.55 inference(quant_inst,[status(thm)],[])).
% 73.67/46.55 tff(23663,plain,
% 73.67/46.55 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB161)) | v130(constB161, bitIndex0)),
% 73.67/46.55 inference(modus_ponens,[status(thm)],[23662, 23661])).
% 73.67/46.55 tff(23664,plain,
% 73.67/46.55 (v130(constB161, bitIndex0)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23663, 1162, 23660])).
% 73.67/46.55 tff(23665,plain,
% 73.67/46.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB161) | (~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB161) | (~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23666,plain,
% 73.67/46.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB161) | (~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0))),
% 73.67/46.55 inference(quant_inst,[status(thm)],[])).
% 73.67/46.55 tff(23667,plain,
% 73.67/46.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB161) | (~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0)),
% 73.67/46.55 inference(modus_ponens,[status(thm)],[23666, 23665])).
% 73.67/46.55 tff(23668,plain,
% 73.67/46.55 ((~v130(constB161, bitIndex0)) | v127(constB161, bitIndex0)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23667, 179, 23646])).
% 73.67/46.55 tff(23669,plain,
% 73.67/46.55 (v127(constB161, bitIndex0)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23668, 23664])).
% 73.67/46.55 tff(23670,plain,
% 73.67/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23671,plain,
% 73.67/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0))),
% 73.67/46.55 inference(quant_inst,[status(thm)],[])).
% 73.67/46.55 tff(23672,plain,
% 73.67/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0)),
% 73.67/46.55 inference(modus_ponens,[status(thm)],[23671, 23670])).
% 73.67/46.55 tff(23673,plain,
% 73.67/46.55 ((~v127(constB161, bitIndex0)) | v129(constB162, bitIndex0)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23672, 197, 23654])).
% 73.67/46.55 tff(23674,plain,
% 73.67/46.55 (v129(constB162, bitIndex0)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23673, 23669])).
% 73.67/46.55 tff(23675,assumption,(~v90(constB162, bitIndex0)), introduced(assumption)).
% 73.67/46.55 tff(23676,plain,
% 73.67/46.55 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0)) | (~v100(constB162)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0)) | (~v100(constB162)))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23677,plain,
% 73.67/46.55 ((v90(constB162, bitIndex0) | (~v100(constB162)) | (~v129(constB162, bitIndex0))) <=> (v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0)) | (~v100(constB162)))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23678,plain,
% 73.67/46.55 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~v100(constB162)) | (~v129(constB162, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0)) | (~v100(constB162))))),
% 73.67/46.55 inference(monotonicity,[status(thm)],[23677])).
% 73.67/46.55 tff(23679,plain,
% 73.67/46.55 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~v100(constB162)) | (~v129(constB162, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0)) | (~v100(constB162)))),
% 73.67/46.55 inference(transitivity,[status(thm)],[23678, 23676])).
% 73.67/46.55 tff(23680,plain,
% 73.67/46.55 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB162, bitIndex0) | (~v100(constB162)) | (~v129(constB162, bitIndex0)))),
% 73.67/46.55 inference(quant_inst,[status(thm)],[])).
% 73.67/46.55 tff(23681,plain,
% 73.67/46.55 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0)) | (~v100(constB162))),
% 73.67/46.55 inference(modus_ponens,[status(thm)],[23680, 23679])).
% 73.67/46.55 tff(23682,plain,
% 73.67/46.55 ((~v129(constB162, bitIndex0)) | (~v100(constB162))),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23681, 401, 23675])).
% 73.67/46.55 tff(23683,plain,
% 73.67/46.55 (~v100(constB162)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23682, 23674])).
% 73.67/46.55 tff(23684,plain,
% 73.67/46.55 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23685,plain,
% 73.67/46.55 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))),
% 73.67/46.55 inference(quant_inst,[status(thm)],[])).
% 73.67/46.55 tff(23686,plain,
% 73.67/46.55 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162))),
% 73.67/46.55 inference(modus_ponens,[status(thm)],[23685, 23684])).
% 73.67/46.55 tff(23687,plain,
% 73.67/46.55 (~v104(constB162)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23686, 335, 23654, 23567])).
% 73.67/46.55 tff(23688,plain,
% 73.67/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23689,plain,
% 73.67/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))),
% 73.67/46.55 inference(quant_inst,[status(thm)],[])).
% 73.67/46.55 tff(23690,plain,
% 73.67/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v102(constB162) | v104(constB162)),
% 73.67/46.55 inference(modus_ponens,[status(thm)],[23689, 23688])).
% 73.67/46.55 tff(23691,plain,
% 73.67/46.55 (v102(constB162) | v104(constB162)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23690, 349, 23654])).
% 73.67/46.55 tff(23692,plain,
% 73.67/46.55 (v102(constB162)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23691, 23687])).
% 73.67/46.55 tff(23693,plain,
% 73.67/46.55 (v1(constB162) <=> v1(constB162)),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23694,axiom,(v1(constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_162_1')).
% 73.67/46.55 tff(23695,plain,
% 73.67/46.55 (v1(constB162)),
% 73.67/46.55 inference(modus_ponens,[status(thm)],[23694, 23693])).
% 73.67/46.55 tff(23696,plain,
% 73.67/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23697,plain,
% 73.67/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))),
% 73.67/46.55 inference(quant_inst,[status(thm)],[])).
% 73.67/46.55 tff(23698,plain,
% 73.67/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162))),
% 73.67/46.55 inference(modus_ponens,[status(thm)],[23697, 23696])).
% 73.67/46.55 tff(23699,plain,
% 73.67/46.55 (v101(constB162) | (~v102(constB162))),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23698, 367, 23654, 23695])).
% 73.67/46.55 tff(23700,plain,
% 73.67/46.55 (v101(constB162)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23699, 23692])).
% 73.67/46.55 tff(23701,plain,
% 73.67/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23702,plain,
% 73.67/46.55 (((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162)) <=> ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23703,plain,
% 73.67/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162))))),
% 73.67/46.55 inference(monotonicity,[status(thm)],[23702])).
% 73.67/46.55 tff(23704,plain,
% 73.67/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 73.67/46.55 inference(transitivity,[status(thm)],[23703, 23701])).
% 73.67/46.55 tff(23705,plain,
% 73.67/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))),
% 73.67/46.55 inference(quant_inst,[status(thm)],[])).
% 73.67/46.55 tff(23706,plain,
% 73.67/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162))),
% 73.67/46.55 inference(modus_ponens,[status(thm)],[23705, 23704])).
% 73.67/46.55 tff(23707,plain,
% 73.67/46.55 (v100(constB162) | (~v101(constB162)) | (~v110(constB162))),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23706, 382, 23654])).
% 73.67/46.55 tff(23708,plain,
% 73.67/46.55 (v100(constB162) | (~v110(constB162))),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23707, 23700])).
% 73.67/46.55 tff(23709,plain,
% 73.67/46.55 (~v110(constB162)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23708, 23683])).
% 73.67/46.55 tff(23710,plain,
% 73.67/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23711,plain,
% 73.67/46.55 (((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162)) <=> ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23712,plain,
% 73.67/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161))))),
% 73.67/46.55 inference(monotonicity,[status(thm)],[23711])).
% 73.67/46.55 tff(23713,plain,
% 73.67/46.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 73.67/46.55 inference(transitivity,[status(thm)],[23712, 23710])).
% 73.67/46.55 tff(23714,plain,
% 73.67/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))),
% 73.67/46.55 inference(quant_inst,[status(thm)],[])).
% 73.67/46.55 tff(23715,plain,
% 73.67/46.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161))),
% 73.67/46.55 inference(modus_ponens,[status(thm)],[23714, 23713])).
% 73.67/46.55 tff(23716,plain,
% 73.67/46.55 (v110(constB162) | (~v108(constB161))),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23715, 317, 23654])).
% 73.67/46.55 tff(23717,plain,
% 73.67/46.55 (~v108(constB161)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23716, 23709])).
% 73.67/46.55 tff(23718,plain,
% 73.67/46.55 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB161) | (~v112(constB161)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB161) | (~v112(constB161)))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23719,plain,
% 73.67/46.55 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB161) | (~v112(constB161)))),
% 73.67/46.55 inference(quant_inst,[status(thm)],[])).
% 73.67/46.55 tff(23720,plain,
% 73.67/46.55 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB161) | (~v112(constB161))),
% 73.67/46.55 inference(modus_ponens,[status(thm)],[23719, 23718])).
% 73.67/46.55 tff(23721,plain,
% 73.67/46.55 (~v112(constB161)),
% 73.67/46.55 inference(unit_resolution,[status(thm)],[23720, 210, 23717])).
% 73.67/46.55 tff(23722,plain,
% 73.67/46.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | v112(constB161) | (~v113(constB161)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | v112(constB161) | (~v113(constB161)))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23723,plain,
% 73.67/46.55 ((v26(constB161) | (~v113(constB161)) | v112(constB161)) <=> (v26(constB161) | v112(constB161) | (~v113(constB161)))),
% 73.67/46.55 inference(rewrite,[status(thm)],[])).
% 73.67/46.55 tff(23724,plain,
% 73.67/46.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | v112(constB161) | (~v113(constB161))))),
% 73.67/46.55 inference(monotonicity,[status(thm)],[23723])).
% 73.67/46.55 tff(23725,plain,
% 73.67/46.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | v112(constB161) | (~v113(constB161)))),
% 73.67/46.55 inference(transitivity,[status(thm)],[23724, 23722])).
% 73.67/46.55 tff(23726,plain,
% 73.67/46.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))),
% 73.67/46.55 inference(quant_inst,[status(thm)],[])).
% 73.67/46.55 tff(23727,plain,
% 73.67/46.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | v112(constB161) | (~v113(constB161))),
% 73.67/46.55 inference(modus_ponens,[status(thm)],[23726, 23725])).
% 73.67/46.56 tff(23728,plain,
% 73.67/46.56 (v112(constB161) | (~v113(constB161))),
% 73.67/46.56 inference(unit_resolution,[status(thm)],[23727, 301, 23646])).
% 73.67/46.56 tff(23729,plain,
% 73.67/46.56 (~v113(constB161)),
% 73.67/46.56 inference(unit_resolution,[status(thm)],[23728, 23721])).
% 73.67/46.56 tff(23730,plain,
% 73.67/46.56 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB161) | (~v114(constB161)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB161) | (~v114(constB161)))),
% 73.67/46.56 inference(rewrite,[status(thm)],[])).
% 73.67/46.56 tff(23731,plain,
% 73.67/46.56 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB161) | (~v114(constB161)))),
% 73.67/46.56 inference(quant_inst,[status(thm)],[])).
% 73.67/46.56 tff(23732,plain,
% 73.67/46.56 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB161) | (~v114(constB161))),
% 73.67/46.56 inference(modus_ponens,[status(thm)],[23731, 23730])).
% 73.67/46.56 tff(23733,plain,
% 73.67/46.56 (~v114(constB161)),
% 73.67/46.56 inference(unit_resolution,[status(thm)],[23732, 287, 23729])).
% 73.67/46.56 tff(23734,plain,
% 73.67/46.56 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB161) | (~v121(constB161)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB161) | (~v121(constB161)))),
% 73.67/46.56 inference(rewrite,[status(thm)],[])).
% 73.67/46.56 tff(23735,plain,
% 73.67/46.56 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB161) | (~v121(constB161)))),
% 73.67/46.56 inference(quant_inst,[status(thm)],[])).
% 73.67/46.56 tff(23736,plain,
% 73.67/46.56 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB161) | (~v121(constB161))),
% 73.67/46.56 inference(modus_ponens,[status(thm)],[23735, 23734])).
% 73.67/46.56 tff(23737,plain,
% 73.67/46.56 (v117(constB161)),
% 73.67/46.56 inference(unit_resolution,[status(thm)],[23736, 976, 23660])).
% 73.67/46.56 tff(23738,plain,
% 73.67/46.56 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB161) | (~v117(constB161)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB161) | (~v117(constB161)))),
% 73.67/46.56 inference(rewrite,[status(thm)],[])).
% 73.67/46.56 tff(23739,plain,
% 73.67/46.56 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB161) | (~v117(constB161)))),
% 73.67/46.56 inference(quant_inst,[status(thm)],[])).
% 73.67/46.56 tff(23740,plain,
% 73.67/46.56 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB161) | (~v117(constB161))),
% 73.67/46.56 inference(modus_ponens,[status(thm)],[23739, 23738])).
% 73.67/46.56 tff(23741,plain,
% 73.67/46.56 (v116(constB161)),
% 73.67/46.56 inference(unit_resolution,[status(thm)],[23740, 254, 23737])).
% 73.67/46.56 tff(23742,plain,
% 73.67/46.56 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB161) | (~v116(constB161)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB161) | (~v116(constB161)))),
% 73.67/46.56 inference(rewrite,[status(thm)],[])).
% 73.67/46.56 tff(23743,plain,
% 73.67/46.56 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB161) | (~v116(constB161)))),
% 73.67/46.56 inference(quant_inst,[status(thm)],[])).
% 73.67/46.56 tff(23744,plain,
% 73.67/46.56 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB161) | (~v116(constB161))),
% 73.67/46.56 inference(modus_ponens,[status(thm)],[23743, 23742])).
% 73.67/46.56 tff(23745,plain,
% 73.67/46.56 (v115(constB161)),
% 73.67/46.56 inference(unit_resolution,[status(thm)],[23744, 265, 23741])).
% 73.67/46.56 tff(23746,plain,
% 73.67/46.56 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB161) | (~v115(constB161)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB161) | (~v115(constB161)))),
% 73.67/46.56 inference(rewrite,[status(thm)],[])).
% 73.67/46.56 tff(23747,plain,
% 73.67/46.56 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB161) | (~v115(constB161)))),
% 73.67/46.56 inference(quant_inst,[status(thm)],[])).
% 73.67/46.56 tff(23748,plain,
% 73.67/46.56 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB161) | (~v115(constB161))),
% 73.67/46.56 inference(modus_ponens,[status(thm)],[23747, 23746])).
% 73.67/46.56 tff(23749,plain,
% 73.67/46.56 ($false),
% 73.67/46.56 inference(unit_resolution,[status(thm)],[23748, 276, 23745, 23733])).
% 73.67/46.56 tff(23750,plain,((~v121(constB161)) | v90(constB162, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.67/46.56 tff(23751,plain,
% 73.67/46.56 (v90(constB162, bitIndex0)),
% 73.67/46.56 inference(unit_resolution,[status(thm)],[23750, 23638])).
% 73.67/46.56 tff(23752,plain,
% 73.67/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB161, bitIndex0) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB161, bitIndex0) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, bitIndex0)))),
% 73.67/46.56 inference(rewrite,[status(thm)],[])).
% 73.67/46.56 tff(23753,plain,
% 73.67/46.56 (((~nextState(constB161, constB162)) | v90(constB161, bitIndex0) | v100(constB162) | (~v90(constB162, bitIndex0))) <=> (v90(constB161, bitIndex0) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, bitIndex0)))),
% 73.67/46.56 inference(rewrite,[status(thm)],[])).
% 73.67/46.56 tff(23754,plain,
% 73.67/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB161, constB162)) | v90(constB161, bitIndex0) | v100(constB162) | (~v90(constB162, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB161, bitIndex0) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, bitIndex0))))),
% 73.67/46.56 inference(monotonicity,[status(thm)],[23753])).
% 73.67/46.56 tff(23755,plain,
% 73.67/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB161, constB162)) | v90(constB161, bitIndex0) | v100(constB162) | (~v90(constB162, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB161, bitIndex0) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, bitIndex0)))),
% 73.67/46.56 inference(transitivity,[status(thm)],[23754, 23752])).
% 73.67/46.56 tff(23756,plain,
% 73.67/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB161, constB162)) | v90(constB161, bitIndex0) | v100(constB162) | (~v90(constB162, bitIndex0)))),
% 73.67/46.56 inference(quant_inst,[status(thm)],[])).
% 73.67/46.56 tff(23757,plain,
% 73.67/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB161, bitIndex0) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, bitIndex0))),
% 73.67/46.56 inference(modus_ponens,[status(thm)],[23756, 23755])).
% 73.67/46.56 tff(23758,plain,
% 73.67/46.56 (v90(constB161, bitIndex0) | v100(constB162) | (~v90(constB162, bitIndex0))),
% 73.67/46.56 inference(unit_resolution,[status(thm)],[23757, 130, 23654])).
% 73.67/46.56 tff(23759,plain,
% 73.67/46.56 (v100(constB162)),
% 73.67/46.56 inference(unit_resolution,[status(thm)],[23758, 23751, 23633])).
% 73.67/46.56 tff(23760,plain,
% 73.67/46.56 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1)) | (~v100(constB162)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1)) | (~v100(constB162)))),
% 73.67/46.56 inference(rewrite,[status(thm)],[])).
% 73.67/46.56 tff(23761,plain,
% 73.67/46.56 ((v90(constB162, bitIndex1) | (~v100(constB162)) | (~v129(constB162, bitIndex1))) <=> (v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1)) | (~v100(constB162)))),
% 73.67/46.56 inference(rewrite,[status(thm)],[])).
% 73.67/46.56 tff(23762,plain,
% 73.67/46.56 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~v100(constB162)) | (~v129(constB162, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1)) | (~v100(constB162))))),
% 73.67/46.56 inference(monotonicity,[status(thm)],[23761])).
% 73.67/46.56 tff(23763,plain,
% 73.67/46.56 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~v100(constB162)) | (~v129(constB162, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1)) | (~v100(constB162)))),
% 73.67/46.56 inference(transitivity,[status(thm)],[23762, 23760])).
% 73.67/46.56 tff(23764,plain,
% 73.67/46.56 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB162, bitIndex1) | (~v100(constB162)) | (~v129(constB162, bitIndex1)))),
% 73.67/46.56 inference(quant_inst,[status(thm)],[])).
% 73.67/46.56 tff(23765,plain,
% 73.67/46.56 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1)) | (~v100(constB162))),
% 73.67/46.56 inference(modus_ponens,[status(thm)],[23764, 23763])).
% 73.67/46.56 tff(23766,plain,
% 73.67/46.56 (v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1))),
% 73.67/46.56 inference(unit_resolution,[status(thm)],[23765, 854, 23759])).
% 73.67/46.56 tff(23767,plain,
% 73.67/46.56 (v90(constB162, bitIndex1)),
% 73.67/46.56 inference(unit_resolution,[status(thm)],[23766, 23659])).
% 73.67/46.56 tff(23768,plain,
% 73.67/46.56 ((~v1(constB163)) <=> (~v1(constB163))),
% 73.67/46.56 inference(rewrite,[status(thm)],[])).
% 73.67/46.56 tff(23769,axiom,(~v1(constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_163_1_1')).
% 73.67/46.56 tff(23770,plain,
% 73.67/46.56 (~v1(constB163)),
% 73.67/46.56 inference(modus_ponens,[status(thm)],[23769, 23768])).
% 73.67/46.56 tff(23771,plain,
% 73.67/46.56 (nextState(constB162, constB163) <=> nextState(constB162, constB163)),
% 73.67/46.56 inference(rewrite,[status(thm)],[])).
% 73.67/46.56 tff(23772,axiom,(nextState(constB162, constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_162_1')).
% 73.67/46.56 tff(23773,plain,
% 73.67/46.56 (nextState(constB162, constB163)),
% 73.67/46.56 inference(modus_ponens,[status(thm)],[23772, 23771])).
% 73.67/46.56 tff(23774,plain,
% 73.67/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 73.67/46.56 inference(rewrite,[status(thm)],[])).
% 73.67/46.56 tff(23775,plain,
% 73.67/46.56 (((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163)) <=> (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 73.67/46.56 inference(rewrite,[status(thm)],[])).
% 73.67/46.56 tff(23776,plain,
% 73.67/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163))))),
% 73.67/46.56 inference(monotonicity,[status(thm)],[23775])).
% 73.67/46.56 tff(23777,plain,
% 73.67/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 73.67/46.56 inference(transitivity,[status(thm)],[23776, 23774])).
% 73.67/46.56 tff(23778,plain,
% 73.67/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))),
% 73.67/46.56 inference(quant_inst,[status(thm)],[])).
% 73.67/46.56 tff(23779,plain,
% 73.67/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163))),
% 73.67/46.56 inference(modus_ponens,[status(thm)],[23778, 23777])).
% 73.67/46.56 tff(23780,plain,
% 73.67/46.56 (~v101(constB163)),
% 73.67/46.56 inference(unit_resolution,[status(thm)],[23779, 56, 23773, 23770])).
% 73.67/46.56 tff(23781,plain,
% 73.67/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))),
% 73.67/46.56 inference(rewrite,[status(thm)],[])).
% 73.67/46.56 tff(23782,plain,
% 73.67/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))),
% 73.67/46.56 inference(quant_inst,[status(thm)],[])).
% 73.67/46.56 tff(23783,plain,
% 73.67/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163))),
% 73.67/46.56 inference(modus_ponens,[status(thm)],[23782, 23781])).
% 73.67/46.56 tff(23784,plain,
% 73.67/46.56 (v101(constB163) | (~v100(constB163))),
% 73.67/46.56 inference(unit_resolution,[status(thm)],[23783, 73, 23773])).
% 73.67/46.56 tff(23785,plain,
% 73.67/46.56 (~v100(constB163)),
% 73.67/46.56 inference(unit_resolution,[status(thm)],[23784, 23780])).
% 73.67/46.56 tff(23786,plain,
% 73.67/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex1))),
% 73.67/46.56 inference(rewrite,[status(thm)],[])).
% 73.67/46.56 tff(23787,plain,
% 73.67/46.56 (((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex1)) | v100(constB163) | v90(constB163, bitIndex1)) <=> ((~v90(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex1))),
% 73.67/46.56 inference(rewrite,[status(thm)],[])).
% 73.67/46.56 tff(23788,plain,
% 73.67/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex1)) | v100(constB163) | v90(constB163, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex1)))),
% 73.67/46.56 inference(monotonicity,[status(thm)],[23787])).
% 73.67/46.56 tff(23789,plain,
% 73.67/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex1)) | v100(constB163) | v90(constB163, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex1))),
% 73.67/46.56 inference(transitivity,[status(thm)],[23788, 23786])).
% 73.67/46.56 tff(23790,plain,
% 73.67/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex1)) | v100(constB163) | v90(constB163, bitIndex1))),
% 73.67/46.56 inference(quant_inst,[status(thm)],[])).
% 73.67/46.56 tff(23791,plain,
% 73.67/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex1)),
% 73.67/46.56 inference(modus_ponens,[status(thm)],[23790, 23789])).
% 73.67/46.56 tff(23792,plain,
% 73.67/46.56 ((~v90(constB162, bitIndex1)) | v100(constB163) | v90(constB163, bitIndex1)),
% 73.67/46.56 inference(unit_resolution,[status(thm)],[23791, 872, 23773])).
% 73.67/46.56 tff(23793,plain,
% 73.67/46.56 ((~v90(constB162, bitIndex1)) | v90(constB163, bitIndex1)),
% 73.67/46.56 inference(unit_resolution,[status(thm)],[23792, 23785])).
% 73.67/46.56 tff(23794,plain,
% 73.67/46.56 (v90(constB163, bitIndex1)),
% 73.67/46.56 inference(unit_resolution,[status(thm)],[23793, 23767])).
% 73.67/46.56 tff(23795,plain,
% 73.67/46.56 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB161)) | (~v130(constB161, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB161)) | (~v130(constB161, bitIndex2)))),
% 73.67/46.56 inference(rewrite,[status(thm)],[])).
% 73.67/46.56 tff(23796,plain,
% 73.67/46.56 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB161)) | (~v130(constB161, bitIndex2)))),
% 73.67/46.56 inference(quant_inst,[status(thm)],[])).
% 73.67/46.56 tff(23797,plain,
% 73.67/46.56 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB161)) | (~v130(constB161, bitIndex2))),
% 73.67/46.56 inference(modus_ponens,[status(thm)],[23796, 23795])).
% 73.67/46.56 tff(23798,plain,
% 73.67/46.56 (~v130(constB161, bitIndex2)),
% 73.67/46.56 inference(unit_resolution,[status(thm)],[23797, 1059, 23638])).
% 73.67/46.56 tff(23799,plain,
% 73.67/46.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2))),
% 73.67/46.56 inference(rewrite,[status(thm)],[])).
% 73.67/46.56 tff(23800,plain,
% 73.67/46.56 ((v26(constB161) | v130(constB161, bitIndex2) | (~v127(constB161, bitIndex2))) <=> ((~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2))),
% 73.67/46.56 inference(rewrite,[status(thm)],[])).
% 73.67/46.56 tff(23801,plain,
% 73.67/46.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB161) | v130(constB161, bitIndex2) | (~v127(constB161, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2)))),
% 73.67/46.56 inference(monotonicity,[status(thm)],[23800])).
% 73.67/46.56 tff(23802,plain,
% 73.67/46.56 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB161) | v130(constB161, bitIndex2) | (~v127(constB161, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2))),
% 73.67/46.56 inference(transitivity,[status(thm)],[23801, 23799])).
% 73.67/46.56 tff(23803,plain,
% 73.67/46.56 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB161) | v130(constB161, bitIndex2) | (~v127(constB161, bitIndex2)))),
% 73.67/46.56 inference(quant_inst,[status(thm)],[])).
% 73.67/46.56 tff(23804,plain,
% 73.67/46.56 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB161, bitIndex2)) | v26(constB161) | v130(constB161, bitIndex2)),
% 73.67/46.56 inference(modus_ponens,[status(thm)],[23803, 23802])).
% 73.67/46.56 tff(23805,plain,
% 73.67/46.56 ((~v127(constB161, bitIndex2)) | v130(constB161, bitIndex2)),
% 73.67/46.56 inference(unit_resolution,[status(thm)],[23804, 470, 23646])).
% 73.67/46.56 tff(23806,plain,
% 73.67/46.56 (~v127(constB161, bitIndex2)),
% 73.67/46.56 inference(unit_resolution,[status(thm)],[23805, 23798])).
% 73.67/46.56 tff(23807,plain,
% 73.67/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB161, constB162)) | v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB161, constB162)) | v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2)))),
% 73.67/46.56 inference(rewrite,[status(thm)],[])).
% 73.67/46.56 tff(23808,plain,
% 73.67/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB161, constB162)) | v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2)))),
% 73.67/46.56 inference(quant_inst,[status(thm)],[])).
% 73.67/46.56 tff(23809,plain,
% 73.67/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB161, constB162)) | v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2))),
% 73.74/46.56 inference(modus_ponens,[status(thm)],[23808, 23807])).
% 73.74/46.56 tff(23810,plain,
% 73.74/46.56 (v127(constB161, bitIndex2) | (~v129(constB162, bitIndex2))),
% 73.74/46.56 inference(unit_resolution,[status(thm)],[23809, 488, 23654])).
% 73.74/46.56 tff(23811,plain,
% 73.74/46.56 (~v129(constB162, bitIndex2)),
% 73.74/46.56 inference(unit_resolution,[status(thm)],[23810, 23806])).
% 73.74/46.56 tff(23812,plain,
% 73.74/46.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162)))),
% 73.74/46.56 inference(rewrite,[status(thm)],[])).
% 73.74/46.56 tff(23813,plain,
% 73.74/46.56 (((~v90(constB162, bitIndex2)) | (~v100(constB162)) | v129(constB162, bitIndex2)) <=> ((~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162)))),
% 73.74/46.56 inference(rewrite,[status(thm)],[])).
% 73.74/46.56 tff(23814,plain,
% 73.74/46.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB162, bitIndex2)) | (~v100(constB162)) | v129(constB162, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162))))),
% 73.74/46.56 inference(monotonicity,[status(thm)],[23813])).
% 73.74/46.56 tff(23815,plain,
% 73.74/46.56 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB162, bitIndex2)) | (~v100(constB162)) | v129(constB162, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162)))),
% 73.74/46.56 inference(transitivity,[status(thm)],[23814, 23812])).
% 73.74/46.56 tff(23816,plain,
% 73.74/46.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB162, bitIndex2)) | (~v100(constB162)) | v129(constB162, bitIndex2))),
% 73.74/46.56 inference(quant_inst,[status(thm)],[])).
% 73.74/46.56 tff(23817,plain,
% 73.74/46.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2) | (~v100(constB162))),
% 73.74/46.56 inference(modus_ponens,[status(thm)],[23816, 23815])).
% 73.74/46.56 tff(23818,plain,
% 73.74/46.56 ((~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2)),
% 73.74/46.56 inference(unit_resolution,[status(thm)],[23817, 503, 23759])).
% 73.74/46.56 tff(23819,plain,
% 73.74/46.56 (~v90(constB162, bitIndex2)),
% 73.74/46.56 inference(unit_resolution,[status(thm)],[23818, 23811])).
% 73.74/46.56 tff(23820,plain,
% 73.74/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex2)))),
% 73.74/46.56 inference(rewrite,[status(thm)],[])).
% 73.74/46.56 tff(23821,plain,
% 73.74/46.56 (((~nextState(constB162, constB163)) | v90(constB162, bitIndex2) | v100(constB163) | (~v90(constB163, bitIndex2))) <=> (v90(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex2)))),
% 73.74/46.56 inference(rewrite,[status(thm)],[])).
% 73.74/46.56 tff(23822,plain,
% 73.74/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex2) | v100(constB163) | (~v90(constB163, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex2))))),
% 73.74/46.56 inference(monotonicity,[status(thm)],[23821])).
% 73.74/46.56 tff(23823,plain,
% 73.74/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex2) | v100(constB163) | (~v90(constB163, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex2)))),
% 73.74/46.56 inference(transitivity,[status(thm)],[23822, 23820])).
% 73.74/46.56 tff(23824,plain,
% 73.74/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB162, constB163)) | v90(constB162, bitIndex2) | v100(constB163) | (~v90(constB163, bitIndex2)))),
% 73.74/46.56 inference(quant_inst,[status(thm)],[])).
% 73.74/46.56 tff(23825,plain,
% 73.74/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex2))),
% 73.74/46.56 inference(modus_ponens,[status(thm)],[23824, 23823])).
% 73.74/46.56 tff(23826,plain,
% 73.74/46.56 (v90(constB162, bitIndex2) | v100(constB163) | (~v90(constB163, bitIndex2))),
% 73.74/46.56 inference(unit_resolution,[status(thm)],[23825, 88, 23773])).
% 73.74/46.56 tff(23827,plain,
% 73.74/46.56 (v90(constB162, bitIndex2) | (~v90(constB163, bitIndex2))),
% 73.74/46.56 inference(unit_resolution,[status(thm)],[23826, 23785])).
% 73.74/46.56 tff(23828,plain,
% 73.74/46.56 (~v90(constB163, bitIndex2)),
% 73.74/46.56 inference(unit_resolution,[status(thm)],[23827, 23819])).
% 73.74/46.56 tff(23829,plain,
% 73.74/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex0))),
% 73.74/46.56 inference(rewrite,[status(thm)],[])).
% 73.74/46.56 tff(23830,plain,
% 73.74/46.56 (((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex0)) | v100(constB163) | v90(constB163, bitIndex0)) <=> ((~v90(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex0))),
% 73.74/46.56 inference(rewrite,[status(thm)],[])).
% 73.74/46.56 tff(23831,plain,
% 73.74/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex0)) | v100(constB163) | v90(constB163, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex0)))),
% 73.74/46.56 inference(monotonicity,[status(thm)],[23830])).
% 73.74/46.56 tff(23832,plain,
% 73.74/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex0)) | v100(constB163) | v90(constB163, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex0))),
% 73.74/46.56 inference(transitivity,[status(thm)],[23831, 23829])).
% 73.74/46.56 tff(23833,plain,
% 73.74/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex0)) | v100(constB163) | v90(constB163, bitIndex0))),
% 73.74/46.56 inference(quant_inst,[status(thm)],[])).
% 73.74/46.56 tff(23834,plain,
% 73.74/46.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex0)),
% 73.74/46.56 inference(modus_ponens,[status(thm)],[23833, 23832])).
% 73.74/46.56 tff(23835,plain,
% 73.74/46.56 ((~v90(constB162, bitIndex0)) | v100(constB163) | v90(constB163, bitIndex0)),
% 73.74/46.56 inference(unit_resolution,[status(thm)],[23834, 437, 23773])).
% 73.74/46.56 tff(23836,plain,
% 73.74/46.56 ((~v90(constB162, bitIndex0)) | v90(constB163, bitIndex0)),
% 73.74/46.56 inference(unit_resolution,[status(thm)],[23835, 23785])).
% 73.74/46.56 tff(23837,plain,
% 73.74/46.56 (v90(constB163, bitIndex0)),
% 73.74/46.56 inference(unit_resolution,[status(thm)],[23836, 23751])).
% 73.74/46.56 tff(23838,plain,
% 73.74/46.56 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)) | v90(constB163, bitIndex2) | v122(constB163))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)) | v90(constB163, bitIndex2) | v122(constB163))),
% 73.74/46.56 inference(rewrite,[status(thm)],[])).
% 73.74/46.56 tff(23839,plain,
% 73.74/46.56 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)) | v90(constB163, bitIndex2) | v122(constB163))),
% 73.74/46.56 inference(quant_inst,[status(thm)],[])).
% 73.74/46.56 tff(23840,plain,
% 73.74/46.56 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)) | v90(constB163, bitIndex2) | v122(constB163)),
% 73.74/46.56 inference(modus_ponens,[status(thm)],[23839, 23838])).
% 73.74/46.56 tff(23841,plain,
% 73.74/46.56 ((~v90(constB163, bitIndex1)) | v90(constB163, bitIndex2) | v122(constB163)),
% 73.74/46.56 inference(unit_resolution,[status(thm)],[23840, 1203, 23837])).
% 73.74/46.56 tff(23842,plain,
% 73.74/46.56 (v122(constB163)),
% 73.74/46.56 inference(unit_resolution,[status(thm)],[23841, 23828, 23794])).
% 73.74/46.56 tff(23843,plain,
% 73.74/46.56 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB163) | (~v122(constB163)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB163) | (~v122(constB163)))),
% 73.74/46.56 inference(rewrite,[status(thm)],[])).
% 73.74/46.56 tff(23844,plain,
% 73.74/46.56 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB163) | (~v122(constB163)))),
% 73.74/46.56 inference(quant_inst,[status(thm)],[])).
% 73.74/46.56 tff(23845,plain,
% 73.74/46.56 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB163) | (~v122(constB163))),
% 73.74/46.56 inference(modus_ponens,[status(thm)],[23844, 23843])).
% 73.74/46.56 tff(23846,plain,
% 73.74/46.56 (v116(constB163)),
% 73.74/46.56 inference(unit_resolution,[status(thm)],[23845, 1214, 23842])).
% 73.74/46.56 tff(23847,plain,
% 73.74/46.56 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB163) | (~v116(constB163)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB163) | (~v116(constB163)))),
% 73.74/46.56 inference(rewrite,[status(thm)],[])).
% 73.74/46.56 tff(23848,plain,
% 73.74/46.56 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB163) | (~v116(constB163)))),
% 73.74/46.56 inference(quant_inst,[status(thm)],[])).
% 73.74/46.56 tff(23849,plain,
% 73.74/46.56 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB163) | (~v116(constB163))),
% 73.74/46.56 inference(modus_ponens,[status(thm)],[23848, 23847])).
% 73.74/46.56 tff(23850,plain,
% 73.74/46.56 (v115(constB163)),
% 73.74/46.56 inference(unit_resolution,[status(thm)],[23849, 265, 23846])).
% 73.74/46.56 tff(23851,plain,
% 73.74/46.56 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB163) | (~v115(constB163)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB163) | (~v115(constB163)))),
% 73.74/46.56 inference(rewrite,[status(thm)],[])).
% 73.74/46.56 tff(23852,plain,
% 73.74/46.56 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB163) | (~v115(constB163)))),
% 73.74/46.56 inference(quant_inst,[status(thm)],[])).
% 73.74/46.56 tff(23853,plain,
% 73.74/46.56 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB163) | (~v115(constB163))),
% 73.74/46.56 inference(modus_ponens,[status(thm)],[23852, 23851])).
% 73.74/46.56 tff(23854,plain,
% 73.74/46.56 (v114(constB163)),
% 73.74/46.56 inference(unit_resolution,[status(thm)],[23853, 276, 23850])).
% 73.74/46.56 tff(23855,plain,
% 73.74/46.56 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB163) | (~v114(constB163)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB163) | (~v114(constB163)))),
% 73.74/46.56 inference(rewrite,[status(thm)],[])).
% 73.74/46.56 tff(23856,plain,
% 73.74/46.56 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB163) | (~v114(constB163)))),
% 73.74/46.56 inference(quant_inst,[status(thm)],[])).
% 73.74/46.56 tff(23857,plain,
% 73.74/46.56 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB163) | (~v114(constB163))),
% 73.74/46.56 inference(modus_ponens,[status(thm)],[23856, 23855])).
% 73.74/46.56 tff(23858,plain,
% 73.74/46.56 (v113(constB163)),
% 73.74/46.56 inference(unit_resolution,[status(thm)],[23857, 287, 23854])).
% 73.74/46.56 tff(23859,assumption,(v26(constB163)), introduced(assumption)).
% 73.74/46.56 tff(23860,plain,
% 73.74/46.56 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB163))),
% 73.74/46.56 inference(quant_inst,[status(thm)],[])).
% 73.74/46.56 tff(23861,plain,
% 73.74/46.56 ($false),
% 73.74/46.56 inference(unit_resolution,[status(thm)],[23860, 37, 23859])).
% 73.74/46.56 tff(23862,plain,(~v26(constB163)), inference(lemma,lemma(discharge,[]))).
% 73.74/46.56 tff(23863,plain,
% 73.74/46.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | (~v113(constB163)) | v112(constB163))),
% 73.74/46.56 inference(rewrite,[status(thm)],[])).
% 73.74/46.56 tff(23864,plain,
% 73.74/46.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))),
% 73.74/46.56 inference(quant_inst,[status(thm)],[])).
% 73.74/46.56 tff(23865,plain,
% 73.74/46.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | (~v113(constB163)) | v112(constB163)),
% 73.74/46.56 inference(modus_ponens,[status(thm)],[23864, 23863])).
% 73.74/46.56 tff(23866,plain,
% 73.74/46.56 ((~v113(constB163)) | v112(constB163)),
% 73.74/46.56 inference(unit_resolution,[status(thm)],[23865, 301, 23862])).
% 73.74/46.56 tff(23867,plain,
% 73.74/46.56 (v112(constB163)),
% 73.74/46.56 inference(unit_resolution,[status(thm)],[23866, 23858])).
% 73.74/46.56 tff(23868,plain,
% 73.74/46.56 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB163) | (~v112(constB163)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB163) | (~v112(constB163)))),
% 73.74/46.56 inference(rewrite,[status(thm)],[])).
% 73.74/46.56 tff(23869,plain,
% 73.74/46.56 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB163) | (~v112(constB163)))),
% 73.74/46.56 inference(quant_inst,[status(thm)],[])).
% 73.74/46.56 tff(23870,plain,
% 73.74/46.56 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB163) | (~v112(constB163))),
% 73.74/46.56 inference(modus_ponens,[status(thm)],[23869, 23868])).
% 73.74/46.56 tff(23871,plain,
% 73.74/46.56 (v108(constB163)),
% 73.74/46.56 inference(unit_resolution,[status(thm)],[23870, 210, 23867])).
% 73.74/46.56 tff(23872,plain,
% 73.74/46.56 (nextState(constB163, constB164) <=> nextState(constB163, constB164)),
% 73.74/46.56 inference(rewrite,[status(thm)],[])).
% 73.74/46.56 tff(23873,axiom,(nextState(constB163, constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_163_1')).
% 73.74/46.56 tff(23874,plain,
% 73.74/46.56 (nextState(constB163, constB164)),
% 73.74/46.56 inference(modus_ponens,[status(thm)],[23873, 23872])).
% 73.74/46.56 tff(23875,plain,
% 73.74/46.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 73.74/46.56 inference(rewrite,[status(thm)],[])).
% 73.74/46.56 tff(23876,plain,
% 73.74/46.56 (((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164)) <=> ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 73.74/46.56 inference(rewrite,[status(thm)],[])).
% 73.74/46.56 tff(23877,plain,
% 73.74/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163))))),
% 73.74/46.57 inference(monotonicity,[status(thm)],[23876])).
% 73.74/46.57 tff(23878,plain,
% 73.74/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 73.74/46.57 inference(transitivity,[status(thm)],[23877, 23875])).
% 73.74/46.57 tff(23879,plain,
% 73.74/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))),
% 73.74/46.57 inference(quant_inst,[status(thm)],[])).
% 73.74/46.57 tff(23880,plain,
% 73.74/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163))),
% 73.74/46.57 inference(modus_ponens,[status(thm)],[23879, 23878])).
% 73.74/46.57 tff(23881,plain,
% 73.74/46.57 (v110(constB164) | (~v108(constB163))),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23880, 317, 23874])).
% 73.74/46.57 tff(23882,plain,
% 73.74/46.57 (v110(constB164)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23881, 23871])).
% 73.74/46.57 tff(23883,plain,
% 73.74/46.57 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23884,plain,
% 73.74/46.57 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))),
% 73.74/46.57 inference(quant_inst,[status(thm)],[])).
% 73.74/46.57 tff(23885,plain,
% 73.74/46.57 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164))),
% 73.74/46.57 inference(modus_ponens,[status(thm)],[23884, 23883])).
% 73.74/46.57 tff(23886,plain,
% 73.74/46.57 (~v104(constB164)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23885, 335, 23874, 23770])).
% 73.74/46.57 tff(23887,plain,
% 73.74/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23888,plain,
% 73.74/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))),
% 73.74/46.57 inference(quant_inst,[status(thm)],[])).
% 73.74/46.57 tff(23889,plain,
% 73.74/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v102(constB164) | v104(constB164)),
% 73.74/46.57 inference(modus_ponens,[status(thm)],[23888, 23887])).
% 73.74/46.57 tff(23890,plain,
% 73.74/46.57 (v102(constB164) | v104(constB164)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23889, 349, 23874])).
% 73.74/46.57 tff(23891,plain,
% 73.74/46.57 (v102(constB164)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23890, 23886])).
% 73.74/46.57 tff(23892,plain,
% 73.74/46.57 (v1(constB164) <=> v1(constB164)),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23893,axiom,(v1(constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_164_1')).
% 73.74/46.57 tff(23894,plain,
% 73.74/46.57 (v1(constB164)),
% 73.74/46.57 inference(modus_ponens,[status(thm)],[23893, 23892])).
% 73.74/46.57 tff(23895,plain,
% 73.74/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23896,plain,
% 73.74/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))),
% 73.74/46.57 inference(quant_inst,[status(thm)],[])).
% 73.74/46.57 tff(23897,plain,
% 73.74/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164))),
% 73.74/46.57 inference(modus_ponens,[status(thm)],[23896, 23895])).
% 73.74/46.57 tff(23898,plain,
% 73.74/46.57 (v101(constB164) | (~v102(constB164))),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23897, 367, 23874, 23894])).
% 73.74/46.57 tff(23899,plain,
% 73.74/46.57 (v101(constB164)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23898, 23891])).
% 73.74/46.57 tff(23900,plain,
% 73.74/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23901,plain,
% 73.74/46.57 (((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164)) <=> ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23902,plain,
% 73.74/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164))))),
% 73.74/46.57 inference(monotonicity,[status(thm)],[23901])).
% 73.74/46.57 tff(23903,plain,
% 73.74/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 73.74/46.57 inference(transitivity,[status(thm)],[23902, 23900])).
% 73.74/46.57 tff(23904,plain,
% 73.74/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))),
% 73.74/46.57 inference(quant_inst,[status(thm)],[])).
% 73.74/46.57 tff(23905,plain,
% 73.74/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164))),
% 73.74/46.57 inference(modus_ponens,[status(thm)],[23904, 23903])).
% 73.74/46.57 tff(23906,plain,
% 73.74/46.57 (v100(constB164) | (~v101(constB164)) | (~v110(constB164))),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23905, 382, 23874])).
% 73.74/46.57 tff(23907,plain,
% 73.74/46.57 (v100(constB164) | (~v110(constB164))),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23906, 23899])).
% 73.74/46.57 tff(23908,plain,
% 73.74/46.57 (v100(constB164)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23907, 23882])).
% 73.74/46.57 tff(23909,plain,
% 73.74/46.57 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB163)) | v130(constB163, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB163)) | v130(constB163, bitIndex2))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23910,plain,
% 73.74/46.57 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB163)) | v130(constB163, bitIndex2))),
% 73.74/46.57 inference(quant_inst,[status(thm)],[])).
% 73.74/46.57 tff(23911,plain,
% 73.74/46.57 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB163)) | v130(constB163, bitIndex2)),
% 73.74/46.57 inference(modus_ponens,[status(thm)],[23910, 23909])).
% 73.74/46.57 tff(23912,plain,
% 73.74/46.57 (v130(constB163, bitIndex2)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23911, 1290, 23842])).
% 73.74/46.57 tff(23913,plain,
% 73.74/46.57 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23914,plain,
% 73.74/46.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2))),
% 73.74/46.57 inference(quant_inst,[status(thm)],[])).
% 73.74/46.57 tff(23915,plain,
% 73.74/46.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2)),
% 73.74/46.57 inference(modus_ponens,[status(thm)],[23914, 23913])).
% 73.74/46.57 tff(23916,plain,
% 73.74/46.57 ((~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23915, 1304, 23862])).
% 73.74/46.57 tff(23917,plain,
% 73.74/46.57 (v127(constB163, bitIndex2)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23916, 23912])).
% 73.74/46.57 tff(23918,plain,
% 73.74/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23919,plain,
% 73.74/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2))),
% 73.74/46.57 inference(quant_inst,[status(thm)],[])).
% 73.74/46.57 tff(23920,plain,
% 73.74/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2)),
% 73.74/46.57 inference(modus_ponens,[status(thm)],[23919, 23918])).
% 73.74/46.57 tff(23921,plain,
% 73.74/46.57 ((~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23920, 1319, 23874])).
% 73.74/46.57 tff(23922,plain,
% 73.74/46.57 (v129(constB164, bitIndex2)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23921, 23917])).
% 73.74/46.57 tff(23923,plain,
% 73.74/46.57 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23924,plain,
% 73.74/46.57 ((v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2))) <=> (v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23925,plain,
% 73.74/46.57 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164))))),
% 73.74/46.57 inference(monotonicity,[status(thm)],[23924])).
% 73.74/46.57 tff(23926,plain,
% 73.74/46.57 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))),
% 73.74/46.57 inference(transitivity,[status(thm)],[23925, 23923])).
% 73.74/46.57 tff(23927,plain,
% 73.74/46.57 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2)))),
% 73.74/46.57 inference(quant_inst,[status(thm)],[])).
% 73.74/46.57 tff(23928,plain,
% 73.74/46.57 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164))),
% 73.74/46.57 inference(modus_ponens,[status(thm)],[23927, 23926])).
% 73.74/46.57 tff(23929,plain,
% 73.74/46.57 (v90(constB164, bitIndex2) | (~v100(constB164))),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23928, 1334, 23922])).
% 73.74/46.57 tff(23930,plain,
% 73.74/46.57 (v90(constB164, bitIndex2)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23929, 23908])).
% 73.74/46.57 tff(23931,plain,
% 73.74/46.57 ((~v1(constB165)) <=> (~v1(constB165))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23932,axiom,(~v1(constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_165_1_1')).
% 73.74/46.57 tff(23933,plain,
% 73.74/46.57 (~v1(constB165)),
% 73.74/46.57 inference(modus_ponens,[status(thm)],[23932, 23931])).
% 73.74/46.57 tff(23934,plain,
% 73.74/46.57 (nextState(constB164, constB165) <=> nextState(constB164, constB165)),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23935,axiom,(nextState(constB164, constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_164_1')).
% 73.74/46.57 tff(23936,plain,
% 73.74/46.57 (nextState(constB164, constB165)),
% 73.74/46.57 inference(modus_ponens,[status(thm)],[23935, 23934])).
% 73.74/46.57 tff(23937,plain,
% 73.74/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23938,plain,
% 73.74/46.57 (((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165)) <=> (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23939,plain,
% 73.74/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165))))),
% 73.74/46.57 inference(monotonicity,[status(thm)],[23938])).
% 73.74/46.57 tff(23940,plain,
% 73.74/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 73.74/46.57 inference(transitivity,[status(thm)],[23939, 23937])).
% 73.74/46.57 tff(23941,plain,
% 73.74/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))),
% 73.74/46.57 inference(quant_inst,[status(thm)],[])).
% 73.74/46.57 tff(23942,plain,
% 73.74/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165))),
% 73.74/46.57 inference(modus_ponens,[status(thm)],[23941, 23940])).
% 73.74/46.57 tff(23943,plain,
% 73.74/46.57 (~v101(constB165)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23942, 56, 23936, 23933])).
% 73.74/46.57 tff(23944,plain,
% 73.74/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23945,plain,
% 73.74/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))),
% 73.74/46.57 inference(quant_inst,[status(thm)],[])).
% 73.74/46.57 tff(23946,plain,
% 73.74/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165))),
% 73.74/46.57 inference(modus_ponens,[status(thm)],[23945, 23944])).
% 73.74/46.57 tff(23947,plain,
% 73.74/46.57 (v101(constB165) | (~v100(constB165))),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23946, 73, 23936])).
% 73.74/46.57 tff(23948,plain,
% 73.74/46.57 (~v100(constB165)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23947, 23943])).
% 73.74/46.57 tff(23949,plain,
% 73.74/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23950,plain,
% 73.74/46.57 (((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2)) <=> ((~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23951,plain,
% 73.74/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2)))),
% 73.74/46.57 inference(monotonicity,[status(thm)],[23950])).
% 73.74/46.57 tff(23952,plain,
% 73.74/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))),
% 73.74/46.57 inference(transitivity,[status(thm)],[23951, 23949])).
% 73.74/46.57 tff(23953,plain,
% 73.74/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2))),
% 73.74/46.57 inference(quant_inst,[status(thm)],[])).
% 73.74/46.57 tff(23954,plain,
% 73.74/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2)),
% 73.74/46.57 inference(modus_ponens,[status(thm)],[23953, 23952])).
% 73.74/46.57 tff(23955,plain,
% 73.74/46.57 ((~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23954, 1370, 23936])).
% 73.74/46.57 tff(23956,plain,
% 73.74/46.57 ((~v90(constB164, bitIndex2)) | v90(constB165, bitIndex2)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23955, 23948])).
% 73.74/46.57 tff(23957,plain,
% 73.74/46.57 (v90(constB165, bitIndex2)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23956, 23930])).
% 73.74/46.57 tff(23958,plain,
% 73.74/46.57 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB163)) | (~v130(constB163, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB163)) | (~v130(constB163, bitIndex1)))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23959,plain,
% 73.74/46.57 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB163)) | (~v130(constB163, bitIndex1)))),
% 73.74/46.57 inference(quant_inst,[status(thm)],[])).
% 73.74/46.57 tff(23960,plain,
% 73.74/46.57 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB163)) | (~v130(constB163, bitIndex1))),
% 73.74/46.57 inference(modus_ponens,[status(thm)],[23959, 23958])).
% 73.74/46.57 tff(23961,plain,
% 73.74/46.57 (~v130(constB163, bitIndex1)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23960, 1389, 23842])).
% 73.74/46.57 tff(23962,assumption,(v127(constB163, bitIndex1)), introduced(assumption)).
% 73.74/46.57 tff(23963,assumption,(~v130(constB163, bitIndex1)), introduced(assumption)).
% 73.74/46.57 tff(23964,plain,
% 73.74/46.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23965,plain,
% 73.74/46.57 ((v26(constB163) | v130(constB163, bitIndex1) | (~v127(constB163, bitIndex1))) <=> ((~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23966,plain,
% 73.74/46.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB163) | v130(constB163, bitIndex1) | (~v127(constB163, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1)))),
% 73.74/46.57 inference(monotonicity,[status(thm)],[23965])).
% 73.74/46.57 tff(23967,plain,
% 73.74/46.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB163) | v130(constB163, bitIndex1) | (~v127(constB163, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1))),
% 73.74/46.57 inference(transitivity,[status(thm)],[23966, 23964])).
% 73.74/46.57 tff(23968,plain,
% 73.74/46.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB163) | v130(constB163, bitIndex1) | (~v127(constB163, bitIndex1)))),
% 73.74/46.57 inference(quant_inst,[status(thm)],[])).
% 73.74/46.57 tff(23969,plain,
% 73.74/46.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB163, bitIndex1)) | v26(constB163) | v130(constB163, bitIndex1)),
% 73.74/46.57 inference(modus_ponens,[status(thm)],[23968, 23967])).
% 73.74/46.57 tff(23970,plain,
% 73.74/46.57 ((~v127(constB163, bitIndex1)) | v26(constB163)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23969, 555, 23963])).
% 73.74/46.57 tff(23971,plain,
% 73.74/46.57 (v26(constB163)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23970, 23962])).
% 73.74/46.57 tff(23972,plain,
% 73.74/46.57 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB163)) | (~v127(constB163, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB163)) | (~v127(constB163, bitIndex1)))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23973,plain,
% 73.74/46.57 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB163)) | (~v127(constB163, bitIndex1)))),
% 73.74/46.57 inference(quant_inst,[status(thm)],[])).
% 73.74/46.57 tff(23974,plain,
% 73.74/46.57 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB163)) | (~v127(constB163, bitIndex1))),
% 73.74/46.57 inference(modus_ponens,[status(thm)],[23973, 23972])).
% 73.74/46.57 tff(23975,plain,
% 73.74/46.57 ($false),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23974, 573, 23962, 23971])).
% 73.74/46.57 tff(23976,plain,((~v127(constB163, bitIndex1)) | v130(constB163, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 73.74/46.57 tff(23977,plain,
% 73.74/46.57 (~v127(constB163, bitIndex1)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23976, 23961])).
% 73.74/46.57 tff(23978,plain,
% 73.74/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB163, constB164)) | v127(constB163, bitIndex1) | (~v129(constB164, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB163, constB164)) | v127(constB163, bitIndex1) | (~v129(constB164, bitIndex1)))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23979,plain,
% 73.74/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB163, constB164)) | v127(constB163, bitIndex1) | (~v129(constB164, bitIndex1)))),
% 73.74/46.57 inference(quant_inst,[status(thm)],[])).
% 73.74/46.57 tff(23980,plain,
% 73.74/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB163, constB164)) | v127(constB163, bitIndex1) | (~v129(constB164, bitIndex1))),
% 73.74/46.57 inference(modus_ponens,[status(thm)],[23979, 23978])).
% 73.74/46.57 tff(23981,plain,
% 73.74/46.57 (v127(constB163, bitIndex1) | (~v129(constB164, bitIndex1))),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23980, 588, 23874])).
% 73.74/46.57 tff(23982,plain,
% 73.74/46.57 (~v129(constB164, bitIndex1)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23981, 23977])).
% 73.74/46.57 tff(23983,plain,
% 73.74/46.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1) | (~v100(constB164)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1) | (~v100(constB164)))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23984,plain,
% 73.74/46.57 (((~v90(constB164, bitIndex1)) | (~v100(constB164)) | v129(constB164, bitIndex1)) <=> ((~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1) | (~v100(constB164)))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23985,plain,
% 73.74/46.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | (~v100(constB164)) | v129(constB164, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1) | (~v100(constB164))))),
% 73.74/46.57 inference(monotonicity,[status(thm)],[23984])).
% 73.74/46.57 tff(23986,plain,
% 73.74/46.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | (~v100(constB164)) | v129(constB164, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1) | (~v100(constB164)))),
% 73.74/46.57 inference(transitivity,[status(thm)],[23985, 23983])).
% 73.74/46.57 tff(23987,plain,
% 73.74/46.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB164, bitIndex1)) | (~v100(constB164)) | v129(constB164, bitIndex1))),
% 73.74/46.57 inference(quant_inst,[status(thm)],[])).
% 73.74/46.57 tff(23988,plain,
% 73.74/46.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1) | (~v100(constB164))),
% 73.74/46.57 inference(modus_ponens,[status(thm)],[23987, 23986])).
% 73.74/46.57 tff(23989,plain,
% 73.74/46.57 ((~v90(constB164, bitIndex1)) | (~v100(constB164))),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23988, 603, 23982])).
% 73.74/46.57 tff(23990,plain,
% 73.74/46.57 (~v90(constB164, bitIndex1)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23989, 23908])).
% 73.74/46.57 tff(23991,plain,
% 73.74/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex1)))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23992,plain,
% 73.74/46.57 (((~nextState(constB164, constB165)) | v90(constB164, bitIndex1) | v100(constB165) | (~v90(constB165, bitIndex1))) <=> (v90(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex1)))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(23993,plain,
% 73.74/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex1) | v100(constB165) | (~v90(constB165, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex1))))),
% 73.74/46.57 inference(monotonicity,[status(thm)],[23992])).
% 73.74/46.57 tff(23994,plain,
% 73.74/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex1) | v100(constB165) | (~v90(constB165, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex1)))),
% 73.74/46.57 inference(transitivity,[status(thm)],[23993, 23991])).
% 73.74/46.57 tff(23995,plain,
% 73.74/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex1) | v100(constB165) | (~v90(constB165, bitIndex1)))),
% 73.74/46.57 inference(quant_inst,[status(thm)],[])).
% 73.74/46.57 tff(23996,plain,
% 73.74/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex1))),
% 73.74/46.57 inference(modus_ponens,[status(thm)],[23995, 23994])).
% 73.74/46.57 tff(23997,plain,
% 73.74/46.57 (v90(constB164, bitIndex1) | v100(constB165) | (~v90(constB165, bitIndex1))),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23996, 109, 23936])).
% 73.74/46.57 tff(23998,plain,
% 73.74/46.57 (v90(constB164, bitIndex1) | (~v90(constB165, bitIndex1))),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23997, 23948])).
% 73.74/46.57 tff(23999,plain,
% 73.74/46.57 (~v90(constB165, bitIndex1)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[23998, 23990])).
% 73.74/46.57 tff(24000,plain,
% 73.74/46.57 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB163)) | (~v130(constB163, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB163)) | (~v130(constB163, bitIndex0)))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(24001,plain,
% 73.74/46.57 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB163)) | (~v130(constB163, bitIndex0)))),
% 73.74/46.57 inference(quant_inst,[status(thm)],[])).
% 73.74/46.57 tff(24002,plain,
% 73.74/46.57 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB163)) | (~v130(constB163, bitIndex0))),
% 73.74/46.57 inference(modus_ponens,[status(thm)],[24001, 24000])).
% 73.74/46.57 tff(24003,plain,
% 73.74/46.57 (~v130(constB163, bitIndex0)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[24002, 1433, 23842])).
% 73.74/46.57 tff(24004,plain,
% 73.74/46.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(24005,plain,
% 73.74/46.57 ((v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0))) <=> ((~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(24006,plain,
% 73.74/46.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0)))),
% 73.74/46.57 inference(monotonicity,[status(thm)],[24005])).
% 73.74/46.57 tff(24007,plain,
% 73.74/46.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))),
% 73.74/46.57 inference(transitivity,[status(thm)],[24006, 24004])).
% 73.74/46.57 tff(24008,plain,
% 73.74/46.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0)))),
% 73.74/46.57 inference(quant_inst,[status(thm)],[])).
% 73.74/46.57 tff(24009,plain,
% 73.74/46.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0)),
% 73.74/46.57 inference(modus_ponens,[status(thm)],[24008, 24007])).
% 73.74/46.57 tff(24010,plain,
% 73.74/46.57 ((~v127(constB163, bitIndex0)) | v130(constB163, bitIndex0)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[24009, 905, 23862])).
% 73.74/46.57 tff(24011,plain,
% 73.74/46.57 (~v127(constB163, bitIndex0)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[24010, 24003])).
% 73.74/46.57 tff(24012,plain,
% 73.74/46.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0)))),
% 73.74/46.57 inference(rewrite,[status(thm)],[])).
% 73.74/46.57 tff(24013,plain,
% 73.74/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0)))),
% 73.74/46.57 inference(quant_inst,[status(thm)],[])).
% 73.74/46.57 tff(24014,plain,
% 73.74/46.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0))),
% 73.74/46.57 inference(modus_ponens,[status(thm)],[24013, 24012])).
% 73.74/46.57 tff(24015,plain,
% 73.74/46.57 (v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0))),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[24014, 923, 23874])).
% 73.74/46.57 tff(24016,plain,
% 73.74/46.57 (~v129(constB164, bitIndex0)),
% 73.74/46.57 inference(unit_resolution,[status(thm)],[24015, 24011])).
% 73.74/46.57 tff(24017,plain,
% 73.74/46.57 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24018,plain,
% 73.74/46.58 (((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0)) <=> ((~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24019,plain,
% 73.74/46.58 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164))))),
% 73.74/46.58 inference(monotonicity,[status(thm)],[24018])).
% 73.74/46.58 tff(24020,plain,
% 73.74/46.58 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))),
% 73.74/46.58 inference(transitivity,[status(thm)],[24019, 24017])).
% 73.74/46.58 tff(24021,plain,
% 73.74/46.58 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0))),
% 73.74/46.58 inference(quant_inst,[status(thm)],[])).
% 73.74/46.58 tff(24022,plain,
% 73.74/46.58 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164))),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24021, 24020])).
% 73.74/46.58 tff(24023,plain,
% 73.74/46.58 ((~v90(constB164, bitIndex0)) | (~v100(constB164))),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24022, 938, 24016])).
% 73.74/46.58 tff(24024,plain,
% 73.74/46.58 (~v90(constB164, bitIndex0)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24023, 23908])).
% 73.74/46.58 tff(24025,plain,
% 73.74/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24026,plain,
% 73.74/46.58 (((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0))) <=> (v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24027,plain,
% 73.74/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0))))),
% 73.74/46.58 inference(monotonicity,[status(thm)],[24026])).
% 73.74/46.58 tff(24028,plain,
% 73.74/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 73.74/46.58 inference(transitivity,[status(thm)],[24027, 24025])).
% 73.74/46.58 tff(24029,plain,
% 73.74/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 73.74/46.58 inference(quant_inst,[status(thm)],[])).
% 73.74/46.58 tff(24030,plain,
% 73.74/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0))),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24029, 24028])).
% 73.74/46.58 tff(24031,plain,
% 73.74/46.58 (v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0))),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24030, 130, 23936])).
% 73.74/46.58 tff(24032,plain,
% 73.74/46.58 (v90(constB164, bitIndex0) | (~v90(constB165, bitIndex0))),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24031, 23948])).
% 73.74/46.58 tff(24033,plain,
% 73.74/46.58 (~v90(constB165, bitIndex0)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24032, 24024])).
% 73.74/46.58 tff(24034,plain,
% 73.74/46.58 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | v123(constB165))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | v123(constB165))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24035,plain,
% 73.74/46.58 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | v123(constB165))),
% 73.74/46.58 inference(quant_inst,[status(thm)],[])).
% 73.74/46.58 tff(24036,plain,
% 73.74/46.58 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | v123(constB165)),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24035, 24034])).
% 73.74/46.58 tff(24037,plain,
% 73.74/46.58 (v123(constB165)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24036, 1477, 24033, 23999, 23957])).
% 73.74/46.58 tff(24038,plain,
% 73.74/46.58 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB165) | (~v123(constB165)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB165) | (~v123(constB165)))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24039,plain,
% 73.74/46.58 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB165) | (~v123(constB165)))),
% 73.74/46.58 inference(quant_inst,[status(thm)],[])).
% 73.74/46.58 tff(24040,plain,
% 73.74/46.58 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB165) | (~v123(constB165))),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24039, 24038])).
% 73.74/46.58 tff(24041,plain,
% 73.74/46.58 (v115(constB165)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24040, 1488, 24037])).
% 73.74/46.58 tff(24042,plain,
% 73.74/46.58 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB165) | (~v115(constB165)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB165) | (~v115(constB165)))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24043,plain,
% 73.74/46.58 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB165) | (~v115(constB165)))),
% 73.74/46.58 inference(quant_inst,[status(thm)],[])).
% 73.74/46.58 tff(24044,plain,
% 73.74/46.58 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB165) | (~v115(constB165))),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24043, 24042])).
% 73.74/46.58 tff(24045,plain,
% 73.74/46.58 (v114(constB165)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24044, 276, 24041])).
% 73.74/46.58 tff(24046,plain,
% 73.74/46.58 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB165) | (~v114(constB165)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB165) | (~v114(constB165)))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24047,plain,
% 73.74/46.58 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB165) | (~v114(constB165)))),
% 73.74/46.58 inference(quant_inst,[status(thm)],[])).
% 73.74/46.58 tff(24048,plain,
% 73.74/46.58 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB165) | (~v114(constB165))),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24047, 24046])).
% 73.74/46.58 tff(24049,plain,
% 73.74/46.58 (v113(constB165)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24048, 287, 24045])).
% 73.74/46.58 tff(24050,assumption,(v26(constB165)), introduced(assumption)).
% 73.74/46.58 tff(24051,plain,
% 73.74/46.58 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB165))),
% 73.74/46.58 inference(quant_inst,[status(thm)],[])).
% 73.74/46.58 tff(24052,plain,
% 73.74/46.58 ($false),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24051, 37, 24050])).
% 73.74/46.58 tff(24053,plain,(~v26(constB165)), inference(lemma,lemma(discharge,[]))).
% 73.74/46.58 tff(24054,plain,
% 73.74/46.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | (~v113(constB165)) | v112(constB165))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24055,plain,
% 73.74/46.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))),
% 73.74/46.58 inference(quant_inst,[status(thm)],[])).
% 73.74/46.58 tff(24056,plain,
% 73.74/46.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | (~v113(constB165)) | v112(constB165)),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24055, 24054])).
% 73.74/46.58 tff(24057,plain,
% 73.74/46.58 ((~v113(constB165)) | v112(constB165)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24056, 301, 24053])).
% 73.74/46.58 tff(24058,plain,
% 73.74/46.58 (v112(constB165)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24057, 24049])).
% 73.74/46.58 tff(24059,plain,
% 73.74/46.58 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB165) | (~v112(constB165)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB165) | (~v112(constB165)))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24060,plain,
% 73.74/46.58 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB165) | (~v112(constB165)))),
% 73.74/46.58 inference(quant_inst,[status(thm)],[])).
% 73.74/46.58 tff(24061,plain,
% 73.74/46.58 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB165) | (~v112(constB165))),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24060, 24059])).
% 73.74/46.58 tff(24062,plain,
% 73.74/46.58 (v108(constB165)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24061, 210, 24058])).
% 73.74/46.58 tff(24063,plain,
% 73.74/46.58 (nextState(constB165, constB166) <=> nextState(constB165, constB166)),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24064,axiom,(nextState(constB165, constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_165_1')).
% 73.74/46.58 tff(24065,plain,
% 73.74/46.58 (nextState(constB165, constB166)),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24064, 24063])).
% 73.74/46.58 tff(24066,plain,
% 73.74/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24067,plain,
% 73.74/46.58 (((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166)) <=> ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24068,plain,
% 73.74/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165))))),
% 73.74/46.58 inference(monotonicity,[status(thm)],[24067])).
% 73.74/46.58 tff(24069,plain,
% 73.74/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 73.74/46.58 inference(transitivity,[status(thm)],[24068, 24066])).
% 73.74/46.58 tff(24070,plain,
% 73.74/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))),
% 73.74/46.58 inference(quant_inst,[status(thm)],[])).
% 73.74/46.58 tff(24071,plain,
% 73.74/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165))),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24070, 24069])).
% 73.74/46.58 tff(24072,plain,
% 73.74/46.58 (v110(constB166) | (~v108(constB165))),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24071, 317, 24065])).
% 73.74/46.58 tff(24073,plain,
% 73.74/46.58 (v110(constB166)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24072, 24062])).
% 73.74/46.58 tff(24074,plain,
% 73.74/46.58 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24075,plain,
% 73.74/46.58 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))),
% 73.74/46.58 inference(quant_inst,[status(thm)],[])).
% 73.74/46.58 tff(24076,plain,
% 73.74/46.58 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166))),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24075, 24074])).
% 73.74/46.58 tff(24077,plain,
% 73.74/46.58 (~v104(constB166)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24076, 335, 24065, 23933])).
% 73.74/46.58 tff(24078,plain,
% 73.74/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24079,plain,
% 73.74/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))),
% 73.74/46.58 inference(quant_inst,[status(thm)],[])).
% 73.74/46.58 tff(24080,plain,
% 73.74/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v102(constB166) | v104(constB166)),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24079, 24078])).
% 73.74/46.58 tff(24081,plain,
% 73.74/46.58 (v102(constB166) | v104(constB166)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24080, 349, 24065])).
% 73.74/46.58 tff(24082,plain,
% 73.74/46.58 (v102(constB166)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24081, 24077])).
% 73.74/46.58 tff(24083,plain,
% 73.74/46.58 (v1(constB166) <=> v1(constB166)),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24084,axiom,(v1(constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_166_1')).
% 73.74/46.58 tff(24085,plain,
% 73.74/46.58 (v1(constB166)),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24084, 24083])).
% 73.74/46.58 tff(24086,plain,
% 73.74/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24087,plain,
% 73.74/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))),
% 73.74/46.58 inference(quant_inst,[status(thm)],[])).
% 73.74/46.58 tff(24088,plain,
% 73.74/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166))),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24087, 24086])).
% 73.74/46.58 tff(24089,plain,
% 73.74/46.58 (v101(constB166) | (~v102(constB166))),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24088, 367, 24065, 24085])).
% 73.74/46.58 tff(24090,plain,
% 73.74/46.58 (v101(constB166)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24089, 24082])).
% 73.74/46.58 tff(24091,plain,
% 73.74/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24092,plain,
% 73.74/46.58 (((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166)) <=> ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24093,plain,
% 73.74/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166))))),
% 73.74/46.58 inference(monotonicity,[status(thm)],[24092])).
% 73.74/46.58 tff(24094,plain,
% 73.74/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 73.74/46.58 inference(transitivity,[status(thm)],[24093, 24091])).
% 73.74/46.58 tff(24095,plain,
% 73.74/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))),
% 73.74/46.58 inference(quant_inst,[status(thm)],[])).
% 73.74/46.58 tff(24096,plain,
% 73.74/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166))),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24095, 24094])).
% 73.74/46.58 tff(24097,plain,
% 73.74/46.58 (v100(constB166) | (~v101(constB166)) | (~v110(constB166))),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24096, 382, 24065])).
% 73.74/46.58 tff(24098,plain,
% 73.74/46.58 (v100(constB166) | (~v110(constB166))),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24097, 24090])).
% 73.74/46.58 tff(24099,plain,
% 73.74/46.58 (v100(constB166)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24098, 24073])).
% 73.74/46.58 tff(24100,plain,
% 73.74/46.58 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB165)) | v130(constB165, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB165)) | v130(constB165, bitIndex2))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24101,plain,
% 73.74/46.58 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB165)) | v130(constB165, bitIndex2))),
% 73.74/46.58 inference(quant_inst,[status(thm)],[])).
% 73.74/46.58 tff(24102,plain,
% 73.74/46.58 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB165)) | v130(constB165, bitIndex2)),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24101, 24100])).
% 73.74/46.58 tff(24103,plain,
% 73.74/46.58 (v130(constB165, bitIndex2)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24102, 1563, 24037])).
% 73.74/46.58 tff(24104,plain,
% 73.74/46.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB165) | (~v130(constB165, bitIndex2)) | v127(constB165, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB165) | (~v130(constB165, bitIndex2)) | v127(constB165, bitIndex2))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24105,plain,
% 73.74/46.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB165) | (~v130(constB165, bitIndex2)) | v127(constB165, bitIndex2))),
% 73.74/46.58 inference(quant_inst,[status(thm)],[])).
% 73.74/46.58 tff(24106,plain,
% 73.74/46.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB165) | (~v130(constB165, bitIndex2)) | v127(constB165, bitIndex2)),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24105, 24104])).
% 73.74/46.58 tff(24107,plain,
% 73.74/46.58 ((~v130(constB165, bitIndex2)) | v127(constB165, bitIndex2)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24106, 1304, 24053])).
% 73.74/46.58 tff(24108,plain,
% 73.74/46.58 (v127(constB165, bitIndex2)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24107, 24103])).
% 73.74/46.58 tff(24109,plain,
% 73.74/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB165, constB166)) | (~v127(constB165, bitIndex2)) | v129(constB166, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB165, constB166)) | (~v127(constB165, bitIndex2)) | v129(constB166, bitIndex2))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24110,plain,
% 73.74/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB165, constB166)) | (~v127(constB165, bitIndex2)) | v129(constB166, bitIndex2))),
% 73.74/46.58 inference(quant_inst,[status(thm)],[])).
% 73.74/46.58 tff(24111,plain,
% 73.74/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB165, constB166)) | (~v127(constB165, bitIndex2)) | v129(constB166, bitIndex2)),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24110, 24109])).
% 73.74/46.58 tff(24112,plain,
% 73.74/46.58 ((~v127(constB165, bitIndex2)) | v129(constB166, bitIndex2)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24111, 1319, 24065])).
% 73.74/46.58 tff(24113,plain,
% 73.74/46.58 (v129(constB166, bitIndex2)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24112, 24108])).
% 73.74/46.58 tff(24114,plain,
% 73.74/46.58 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2)) | (~v100(constB166)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2)) | (~v100(constB166)))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24115,plain,
% 73.74/46.58 ((v90(constB166, bitIndex2) | (~v100(constB166)) | (~v129(constB166, bitIndex2))) <=> (v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2)) | (~v100(constB166)))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24116,plain,
% 73.74/46.58 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~v100(constB166)) | (~v129(constB166, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2)) | (~v100(constB166))))),
% 73.74/46.58 inference(monotonicity,[status(thm)],[24115])).
% 73.74/46.58 tff(24117,plain,
% 73.74/46.58 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~v100(constB166)) | (~v129(constB166, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2)) | (~v100(constB166)))),
% 73.74/46.58 inference(transitivity,[status(thm)],[24116, 24114])).
% 73.74/46.58 tff(24118,plain,
% 73.74/46.58 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB166, bitIndex2) | (~v100(constB166)) | (~v129(constB166, bitIndex2)))),
% 73.74/46.58 inference(quant_inst,[status(thm)],[])).
% 73.74/46.58 tff(24119,plain,
% 73.74/46.58 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2)) | (~v100(constB166))),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24118, 24117])).
% 73.74/46.58 tff(24120,plain,
% 73.74/46.58 (v90(constB166, bitIndex2) | (~v100(constB166))),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24119, 1334, 24113])).
% 73.74/46.58 tff(24121,plain,
% 73.74/46.58 (v90(constB166, bitIndex2)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24120, 24099])).
% 73.74/46.58 tff(24122,plain,
% 73.74/46.58 ((~v1(constB167)) <=> (~v1(constB167))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24123,axiom,(~v1(constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_167_1_1')).
% 73.74/46.58 tff(24124,plain,
% 73.74/46.58 (~v1(constB167)),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24123, 24122])).
% 73.74/46.58 tff(24125,plain,
% 73.74/46.58 (nextState(constB166, constB167) <=> nextState(constB166, constB167)),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24126,axiom,(nextState(constB166, constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_166_1')).
% 73.74/46.58 tff(24127,plain,
% 73.74/46.58 (nextState(constB166, constB167)),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24126, 24125])).
% 73.74/46.58 tff(24128,plain,
% 73.74/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24129,plain,
% 73.74/46.58 (((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167)) <=> (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24130,plain,
% 73.74/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167))))),
% 73.74/46.58 inference(monotonicity,[status(thm)],[24129])).
% 73.74/46.58 tff(24131,plain,
% 73.74/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 73.74/46.58 inference(transitivity,[status(thm)],[24130, 24128])).
% 73.74/46.58 tff(24132,plain,
% 73.74/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))),
% 73.74/46.58 inference(quant_inst,[status(thm)],[])).
% 73.74/46.58 tff(24133,plain,
% 73.74/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167))),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24132, 24131])).
% 73.74/46.58 tff(24134,plain,
% 73.74/46.58 (~v101(constB167)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24133, 56, 24127, 24124])).
% 73.74/46.58 tff(24135,plain,
% 73.74/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24136,plain,
% 73.74/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))),
% 73.74/46.58 inference(quant_inst,[status(thm)],[])).
% 73.74/46.58 tff(24137,plain,
% 73.74/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167))),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24136, 24135])).
% 73.74/46.58 tff(24138,plain,
% 73.74/46.58 (v101(constB167) | (~v100(constB167))),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24137, 73, 24127])).
% 73.74/46.58 tff(24139,plain,
% 73.74/46.58 (~v100(constB167)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24138, 24134])).
% 73.74/46.58 tff(24140,plain,
% 73.74/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex2))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24141,plain,
% 73.74/46.58 (((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex2)) | v100(constB167) | v90(constB167, bitIndex2)) <=> ((~v90(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex2))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24142,plain,
% 73.74/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex2)) | v100(constB167) | v90(constB167, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex2)))),
% 73.74/46.58 inference(monotonicity,[status(thm)],[24141])).
% 73.74/46.58 tff(24143,plain,
% 73.74/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex2)) | v100(constB167) | v90(constB167, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex2))),
% 73.74/46.58 inference(transitivity,[status(thm)],[24142, 24140])).
% 73.74/46.58 tff(24144,plain,
% 73.74/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex2)) | v100(constB167) | v90(constB167, bitIndex2))),
% 73.74/46.58 inference(quant_inst,[status(thm)],[])).
% 73.74/46.58 tff(24145,plain,
% 73.74/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex2)),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24144, 24143])).
% 73.74/46.58 tff(24146,plain,
% 73.74/46.58 ((~v90(constB166, bitIndex2)) | v100(constB167) | v90(constB167, bitIndex2)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24145, 1370, 24127])).
% 73.74/46.58 tff(24147,plain,
% 73.74/46.58 ((~v90(constB166, bitIndex2)) | v90(constB167, bitIndex2)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24146, 24139])).
% 73.74/46.58 tff(24148,plain,
% 73.74/46.58 (v90(constB167, bitIndex2)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24147, 24121])).
% 73.74/46.58 tff(24149,plain,
% 73.74/46.58 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB165)) | (~v130(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB165)) | (~v130(constB165, bitIndex1)))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24150,plain,
% 73.74/46.58 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB165)) | (~v130(constB165, bitIndex1)))),
% 73.74/46.58 inference(quant_inst,[status(thm)],[])).
% 73.74/46.58 tff(24151,plain,
% 73.74/46.58 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB165)) | (~v130(constB165, bitIndex1))),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24150, 24149])).
% 73.74/46.58 tff(24152,plain,
% 73.74/46.58 (~v130(constB165, bitIndex1)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24151, 1622, 24037])).
% 73.74/46.58 tff(24153,plain,
% 73.74/46.58 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24154,plain,
% 73.74/46.58 ((v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1))) <=> ((~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24155,plain,
% 73.74/46.58 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1)))),
% 73.74/46.58 inference(monotonicity,[status(thm)],[24154])).
% 73.74/46.58 tff(24156,plain,
% 73.74/46.58 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))),
% 73.74/46.58 inference(transitivity,[status(thm)],[24155, 24153])).
% 73.74/46.58 tff(24157,plain,
% 73.74/46.58 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1)))),
% 73.74/46.58 inference(quant_inst,[status(thm)],[])).
% 73.74/46.58 tff(24158,plain,
% 73.74/46.58 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1)),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24157, 24156])).
% 73.74/46.58 tff(24159,plain,
% 73.74/46.58 ((~v127(constB165, bitIndex1)) | v130(constB165, bitIndex1)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24158, 555, 24053])).
% 73.74/46.58 tff(24160,plain,
% 73.74/46.58 (~v127(constB165, bitIndex1)),
% 73.74/46.58 inference(unit_resolution,[status(thm)],[24159, 24152])).
% 73.74/46.58 tff(24161,plain,
% 73.74/46.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1)))),
% 73.74/46.58 inference(rewrite,[status(thm)],[])).
% 73.74/46.58 tff(24162,plain,
% 73.74/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1)))),
% 73.74/46.58 inference(quant_inst,[status(thm)],[])).
% 73.74/46.58 tff(24163,plain,
% 73.74/46.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1))),
% 73.74/46.58 inference(modus_ponens,[status(thm)],[24162, 24161])).
% 73.74/46.58 tff(24164,plain,
% 73.74/46.58 (v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1))),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24163, 588, 24065])).
% 73.74/46.59 tff(24165,plain,
% 73.74/46.59 (~v129(constB166, bitIndex1)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24164, 24160])).
% 73.74/46.59 tff(24166,plain,
% 73.74/46.59 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24167,plain,
% 73.74/46.59 (((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1)) <=> ((~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24168,plain,
% 73.74/46.59 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166))))),
% 73.74/46.59 inference(monotonicity,[status(thm)],[24167])).
% 73.74/46.59 tff(24169,plain,
% 73.74/46.59 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))),
% 73.74/46.59 inference(transitivity,[status(thm)],[24168, 24166])).
% 73.74/46.59 tff(24170,plain,
% 73.74/46.59 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1))),
% 73.74/46.59 inference(quant_inst,[status(thm)],[])).
% 73.74/46.59 tff(24171,plain,
% 73.74/46.59 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166))),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24170, 24169])).
% 73.74/46.59 tff(24172,plain,
% 73.74/46.59 ((~v90(constB166, bitIndex1)) | (~v100(constB166))),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24171, 603, 24165])).
% 73.74/46.59 tff(24173,plain,
% 73.74/46.59 (~v90(constB166, bitIndex1)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24172, 24099])).
% 73.74/46.59 tff(24174,plain,
% 73.74/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24175,plain,
% 73.74/46.59 (((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1))) <=> (v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24176,plain,
% 73.74/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1))))),
% 73.74/46.59 inference(monotonicity,[status(thm)],[24175])).
% 73.74/46.59 tff(24177,plain,
% 73.74/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 73.74/46.59 inference(transitivity,[status(thm)],[24176, 24174])).
% 73.74/46.59 tff(24178,plain,
% 73.74/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 73.74/46.59 inference(quant_inst,[status(thm)],[])).
% 73.74/46.59 tff(24179,plain,
% 73.74/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1))),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24178, 24177])).
% 73.74/46.59 tff(24180,plain,
% 73.74/46.59 (v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1))),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24179, 109, 24127])).
% 73.74/46.59 tff(24181,plain,
% 73.74/46.59 (v90(constB166, bitIndex1) | (~v90(constB167, bitIndex1))),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24180, 24139])).
% 73.74/46.59 tff(24182,plain,
% 73.74/46.59 (~v90(constB167, bitIndex1)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24181, 24173])).
% 73.74/46.59 tff(24183,plain,
% 73.74/46.59 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB165)) | v130(constB165, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB165)) | v130(constB165, bitIndex0))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24184,plain,
% 73.74/46.59 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB165)) | v130(constB165, bitIndex0))),
% 73.74/46.59 inference(quant_inst,[status(thm)],[])).
% 73.74/46.59 tff(24185,plain,
% 73.74/46.59 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB165)) | v130(constB165, bitIndex0)),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24184, 24183])).
% 73.74/46.59 tff(24186,plain,
% 73.74/46.59 (v130(constB165, bitIndex0)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24185, 1666, 24037])).
% 73.74/46.59 tff(24187,plain,
% 73.74/46.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24188,plain,
% 73.74/46.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0))),
% 73.74/46.59 inference(quant_inst,[status(thm)],[])).
% 73.74/46.59 tff(24189,plain,
% 73.74/46.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0)),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24188, 24187])).
% 73.74/46.59 tff(24190,plain,
% 73.74/46.59 ((~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24189, 179, 24053])).
% 73.74/46.59 tff(24191,plain,
% 73.74/46.59 (v127(constB165, bitIndex0)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24190, 24186])).
% 73.74/46.59 tff(24192,plain,
% 73.74/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24193,plain,
% 73.74/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0))),
% 73.74/46.59 inference(quant_inst,[status(thm)],[])).
% 73.74/46.59 tff(24194,plain,
% 73.74/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0)),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24193, 24192])).
% 73.74/46.59 tff(24195,plain,
% 73.74/46.59 ((~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24194, 197, 24065])).
% 73.74/46.59 tff(24196,plain,
% 73.74/46.59 (v129(constB166, bitIndex0)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24195, 24191])).
% 73.74/46.59 tff(24197,plain,
% 73.74/46.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24198,plain,
% 73.74/46.59 ((v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0))) <=> (v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24199,plain,
% 73.74/46.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166))))),
% 73.74/46.59 inference(monotonicity,[status(thm)],[24198])).
% 73.74/46.59 tff(24200,plain,
% 73.74/46.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))),
% 73.74/46.59 inference(transitivity,[status(thm)],[24199, 24197])).
% 73.74/46.59 tff(24201,plain,
% 73.74/46.59 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0)))),
% 73.74/46.59 inference(quant_inst,[status(thm)],[])).
% 73.74/46.59 tff(24202,plain,
% 73.74/46.59 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166))),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24201, 24200])).
% 73.74/46.59 tff(24203,plain,
% 73.74/46.59 (v90(constB166, bitIndex0) | (~v100(constB166))),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24202, 401, 24196])).
% 73.74/46.59 tff(24204,plain,
% 73.74/46.59 (v90(constB166, bitIndex0)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24203, 24099])).
% 73.74/46.59 tff(24205,plain,
% 73.74/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24206,plain,
% 73.74/46.59 (((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0)) <=> ((~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24207,plain,
% 73.74/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0)))),
% 73.74/46.59 inference(monotonicity,[status(thm)],[24206])).
% 73.74/46.59 tff(24208,plain,
% 73.74/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))),
% 73.74/46.59 inference(transitivity,[status(thm)],[24207, 24205])).
% 73.74/46.59 tff(24209,plain,
% 73.74/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0))),
% 73.74/46.59 inference(quant_inst,[status(thm)],[])).
% 73.74/46.59 tff(24210,plain,
% 73.74/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0)),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24209, 24208])).
% 73.74/46.59 tff(24211,plain,
% 73.74/46.59 ((~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24210, 437, 24127])).
% 73.74/46.59 tff(24212,plain,
% 73.74/46.59 ((~v90(constB166, bitIndex0)) | v90(constB167, bitIndex0)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24211, 24139])).
% 73.74/46.59 tff(24213,plain,
% 73.74/46.59 (v90(constB167, bitIndex0)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24212, 24204])).
% 73.74/46.59 tff(24214,plain,
% 73.74/46.59 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v124(constB167))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v124(constB167))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24215,plain,
% 73.74/46.59 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v124(constB167))),
% 73.74/46.59 inference(quant_inst,[status(thm)],[])).
% 73.74/46.59 tff(24216,plain,
% 73.74/46.59 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | v124(constB167)),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24215, 24214])).
% 73.74/46.59 tff(24217,plain,
% 73.74/46.59 (v124(constB167)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24216, 1707, 24213, 24182, 24148])).
% 73.74/46.59 tff(24218,plain,
% 73.74/46.59 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB167)) | v130(constB167, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB167)) | v130(constB167, bitIndex1))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24219,plain,
% 73.74/46.59 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB167)) | v130(constB167, bitIndex1))),
% 73.74/46.59 inference(quant_inst,[status(thm)],[])).
% 73.74/46.59 tff(24220,plain,
% 73.74/46.59 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB167)) | v130(constB167, bitIndex1)),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24219, 24218])).
% 73.74/46.59 tff(24221,plain,
% 73.74/46.59 (v130(constB167, bitIndex1)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24220, 1867, 24217])).
% 73.74/46.59 tff(24222,plain,
% 73.74/46.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24223,plain,
% 73.74/46.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1))),
% 73.74/46.59 inference(quant_inst,[status(thm)],[])).
% 73.74/46.59 tff(24224,plain,
% 73.74/46.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1)),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24223, 24222])).
% 73.74/46.59 tff(24225,plain,
% 73.74/46.59 (v26(constB167) | v127(constB167, bitIndex1)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24224, 824, 24221])).
% 73.74/46.59 tff(24226,plain,
% 73.74/46.59 (v127(constB167, bitIndex1)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24225, 21208])).
% 73.74/46.59 tff(24227,plain,
% 73.74/46.59 (nextState(constB167, constB168) <=> nextState(constB167, constB168)),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24228,axiom,(nextState(constB167, constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_167_1')).
% 73.74/46.59 tff(24229,plain,
% 73.74/46.59 (nextState(constB167, constB168)),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24228, 24227])).
% 73.74/46.59 tff(24230,plain,
% 73.74/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24231,plain,
% 73.74/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1))),
% 73.74/46.59 inference(quant_inst,[status(thm)],[])).
% 73.74/46.59 tff(24232,plain,
% 73.74/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1)),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24231, 24230])).
% 73.74/46.59 tff(24233,plain,
% 73.74/46.59 ((~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24232, 839, 24229])).
% 73.74/46.59 tff(24234,plain,
% 73.74/46.59 (v129(constB168, bitIndex1)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24233, 24226])).
% 73.74/46.59 tff(24235,plain,
% 73.74/46.59 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB167) | (~v124(constB167)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB167) | (~v124(constB167)))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24236,plain,
% 73.74/46.59 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB167) | (~v124(constB167)))),
% 73.74/46.59 inference(quant_inst,[status(thm)],[])).
% 73.74/46.59 tff(24237,plain,
% 73.74/46.59 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB167) | (~v124(constB167))),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24236, 24235])).
% 73.74/46.59 tff(24238,plain,
% 73.74/46.59 (v114(constB167)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24237, 1718, 24217])).
% 73.74/46.59 tff(24239,plain,
% 73.74/46.59 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB167) | (~v114(constB167)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB167) | (~v114(constB167)))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24240,plain,
% 73.74/46.59 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB167) | (~v114(constB167)))),
% 73.74/46.59 inference(quant_inst,[status(thm)],[])).
% 73.74/46.59 tff(24241,plain,
% 73.74/46.59 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB167) | (~v114(constB167))),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24240, 24239])).
% 73.74/46.59 tff(24242,plain,
% 73.74/46.59 (v113(constB167)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24241, 287, 24238])).
% 73.74/46.59 tff(24243,assumption,(~v108(constB167)), introduced(assumption)).
% 73.74/46.59 tff(24244,plain,
% 73.74/46.59 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB167) | (~v112(constB167)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB167) | (~v112(constB167)))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24245,plain,
% 73.74/46.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB167) | (~v112(constB167)))),
% 73.74/46.59 inference(quant_inst,[status(thm)],[])).
% 73.74/46.59 tff(24246,plain,
% 73.74/46.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB167) | (~v112(constB167))),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24245, 24244])).
% 73.74/46.59 tff(24247,plain,
% 73.74/46.59 (~v112(constB167)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24246, 210, 24243])).
% 73.74/46.59 tff(24248,plain,
% 73.74/46.59 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB167) | (~v26(constB167)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB167) | (~v26(constB167)))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24249,plain,
% 73.74/46.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB167) | (~v26(constB167)))),
% 73.74/46.59 inference(quant_inst,[status(thm)],[])).
% 73.74/46.59 tff(24250,plain,
% 73.74/46.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB167) | (~v26(constB167))),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24249, 24248])).
% 73.74/46.59 tff(24251,plain,
% 73.74/46.59 (~v26(constB167)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24250, 221, 24243])).
% 73.74/46.59 tff(24252,assumption,(v113(constB167)), introduced(assumption)).
% 73.74/46.59 tff(24253,plain,
% 73.74/46.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | v112(constB167) | (~v113(constB167)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24254,plain,
% 73.74/46.59 ((v26(constB167) | (~v113(constB167)) | v112(constB167)) <=> (v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24255,plain,
% 73.74/46.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | v112(constB167) | (~v113(constB167))))),
% 73.74/46.59 inference(monotonicity,[status(thm)],[24254])).
% 73.74/46.59 tff(24256,plain,
% 73.74/46.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 73.74/46.59 inference(transitivity,[status(thm)],[24255, 24253])).
% 73.74/46.59 tff(24257,plain,
% 73.74/46.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))),
% 73.74/46.59 inference(quant_inst,[status(thm)],[])).
% 73.74/46.59 tff(24258,plain,
% 73.74/46.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167))),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24257, 24256])).
% 73.74/46.59 tff(24259,plain,
% 73.74/46.59 (v26(constB167) | v112(constB167)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24258, 301, 24252])).
% 73.74/46.59 tff(24260,plain,
% 73.74/46.59 ($false),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24259, 24251, 24247])).
% 73.74/46.59 tff(24261,plain,(v108(constB167) | (~v113(constB167))), inference(lemma,lemma(discharge,[]))).
% 73.74/46.59 tff(24262,plain,
% 73.74/46.59 (v108(constB167)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24261, 24242])).
% 73.74/46.59 tff(24263,plain,
% 73.74/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24264,plain,
% 73.74/46.59 (((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168)) <=> ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24265,plain,
% 73.74/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167))))),
% 73.74/46.59 inference(monotonicity,[status(thm)],[24264])).
% 73.74/46.59 tff(24266,plain,
% 73.74/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 73.74/46.59 inference(transitivity,[status(thm)],[24265, 24263])).
% 73.74/46.59 tff(24267,plain,
% 73.74/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))),
% 73.74/46.59 inference(quant_inst,[status(thm)],[])).
% 73.74/46.59 tff(24268,plain,
% 73.74/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167))),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24267, 24266])).
% 73.74/46.59 tff(24269,plain,
% 73.74/46.59 (v110(constB168) | (~v108(constB167))),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24268, 317, 24229])).
% 73.74/46.59 tff(24270,plain,
% 73.74/46.59 (v110(constB168)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24269, 24262])).
% 73.74/46.59 tff(24271,plain,
% 73.74/46.59 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24272,plain,
% 73.74/46.59 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))),
% 73.74/46.59 inference(quant_inst,[status(thm)],[])).
% 73.74/46.59 tff(24273,plain,
% 73.74/46.59 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168))),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24272, 24271])).
% 73.74/46.59 tff(24274,plain,
% 73.74/46.59 (~v104(constB168)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24273, 335, 24229, 24124])).
% 73.74/46.59 tff(24275,plain,
% 73.74/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24276,plain,
% 73.74/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))),
% 73.74/46.59 inference(quant_inst,[status(thm)],[])).
% 73.74/46.59 tff(24277,plain,
% 73.74/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v102(constB168) | v104(constB168)),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24276, 24275])).
% 73.74/46.59 tff(24278,plain,
% 73.74/46.59 (v102(constB168) | v104(constB168)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24277, 349, 24229])).
% 73.74/46.59 tff(24279,plain,
% 73.74/46.59 (v102(constB168)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24278, 24274])).
% 73.74/46.59 tff(24280,plain,
% 73.74/46.59 (v1(constB168) <=> v1(constB168)),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24281,axiom,(v1(constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_168_1')).
% 73.74/46.59 tff(24282,plain,
% 73.74/46.59 (v1(constB168)),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24281, 24280])).
% 73.74/46.59 tff(24283,plain,
% 73.74/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24284,plain,
% 73.74/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))),
% 73.74/46.59 inference(quant_inst,[status(thm)],[])).
% 73.74/46.59 tff(24285,plain,
% 73.74/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168))),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24284, 24283])).
% 73.74/46.59 tff(24286,plain,
% 73.74/46.59 (v101(constB168) | (~v102(constB168))),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24285, 367, 24229, 24282])).
% 73.74/46.59 tff(24287,plain,
% 73.74/46.59 (v101(constB168)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24286, 24279])).
% 73.74/46.59 tff(24288,plain,
% 73.74/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24289,plain,
% 73.74/46.59 (((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168)) <=> ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24290,plain,
% 73.74/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168))))),
% 73.74/46.59 inference(monotonicity,[status(thm)],[24289])).
% 73.74/46.59 tff(24291,plain,
% 73.74/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 73.74/46.59 inference(transitivity,[status(thm)],[24290, 24288])).
% 73.74/46.59 tff(24292,plain,
% 73.74/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))),
% 73.74/46.59 inference(quant_inst,[status(thm)],[])).
% 73.74/46.59 tff(24293,plain,
% 73.74/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168))),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24292, 24291])).
% 73.74/46.59 tff(24294,plain,
% 73.74/46.59 (v100(constB168) | (~v101(constB168)) | (~v110(constB168))),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24293, 382, 24229])).
% 73.74/46.59 tff(24295,plain,
% 73.74/46.59 (v100(constB168) | (~v110(constB168))),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24294, 24287])).
% 73.74/46.59 tff(24296,plain,
% 73.74/46.59 (v100(constB168)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24295, 24270])).
% 73.74/46.59 tff(24297,plain,
% 73.74/46.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24298,plain,
% 73.74/46.59 ((v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1))) <=> (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24299,plain,
% 73.74/46.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168))))),
% 73.74/46.59 inference(monotonicity,[status(thm)],[24298])).
% 73.74/46.59 tff(24300,plain,
% 73.74/46.59 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))),
% 73.74/46.59 inference(transitivity,[status(thm)],[24299, 24297])).
% 73.74/46.59 tff(24301,plain,
% 73.74/46.59 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1)))),
% 73.74/46.59 inference(quant_inst,[status(thm)],[])).
% 73.74/46.59 tff(24302,plain,
% 73.74/46.59 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168))),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24301, 24300])).
% 73.74/46.59 tff(24303,plain,
% 73.74/46.59 (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1))),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24302, 854, 24296])).
% 73.74/46.59 tff(24304,plain,
% 73.74/46.59 (v90(constB168, bitIndex1)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24303, 24234])).
% 73.74/46.59 tff(24305,plain,
% 73.74/46.59 ((~v1(constB169)) <=> (~v1(constB169))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24306,axiom,(~v1(constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_169_1_1')).
% 73.74/46.59 tff(24307,plain,
% 73.74/46.59 (~v1(constB169)),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24306, 24305])).
% 73.74/46.59 tff(24308,plain,
% 73.74/46.59 (nextState(constB168, constB169) <=> nextState(constB168, constB169)),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24309,axiom,(nextState(constB168, constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_168_1')).
% 73.74/46.59 tff(24310,plain,
% 73.74/46.59 (nextState(constB168, constB169)),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24309, 24308])).
% 73.74/46.59 tff(24311,plain,
% 73.74/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24312,plain,
% 73.74/46.59 (((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169)) <=> (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24313,plain,
% 73.74/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169))))),
% 73.74/46.59 inference(monotonicity,[status(thm)],[24312])).
% 73.74/46.59 tff(24314,plain,
% 73.74/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 73.74/46.59 inference(transitivity,[status(thm)],[24313, 24311])).
% 73.74/46.59 tff(24315,plain,
% 73.74/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))),
% 73.74/46.59 inference(quant_inst,[status(thm)],[])).
% 73.74/46.59 tff(24316,plain,
% 73.74/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169))),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24315, 24314])).
% 73.74/46.59 tff(24317,plain,
% 73.74/46.59 (~v101(constB169)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24316, 56, 24310, 24307])).
% 73.74/46.59 tff(24318,plain,
% 73.74/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))),
% 73.74/46.59 inference(rewrite,[status(thm)],[])).
% 73.74/46.59 tff(24319,plain,
% 73.74/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))),
% 73.74/46.59 inference(quant_inst,[status(thm)],[])).
% 73.74/46.59 tff(24320,plain,
% 73.74/46.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169))),
% 73.74/46.59 inference(modus_ponens,[status(thm)],[24319, 24318])).
% 73.74/46.59 tff(24321,plain,
% 73.74/46.59 (v101(constB169) | (~v100(constB169))),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24320, 73, 24310])).
% 73.74/46.59 tff(24322,plain,
% 73.74/46.59 (~v100(constB169)),
% 73.74/46.59 inference(unit_resolution,[status(thm)],[24321, 24317])).
% 73.74/46.59 tff(24323,plain,
% 73.74/46.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))),
% 73.74/46.60 inference(rewrite,[status(thm)],[])).
% 73.74/46.60 tff(24324,plain,
% 73.74/46.60 (((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1)) <=> ((~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))),
% 73.74/46.60 inference(rewrite,[status(thm)],[])).
% 73.74/46.60 tff(24325,plain,
% 73.74/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1)))),
% 73.74/46.60 inference(monotonicity,[status(thm)],[24324])).
% 73.74/46.60 tff(24326,plain,
% 73.74/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))),
% 73.74/46.60 inference(transitivity,[status(thm)],[24325, 24323])).
% 73.74/46.60 tff(24327,plain,
% 73.74/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1))),
% 73.74/46.60 inference(quant_inst,[status(thm)],[])).
% 73.74/46.60 tff(24328,plain,
% 73.74/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1)),
% 73.74/46.60 inference(modus_ponens,[status(thm)],[24327, 24326])).
% 73.74/46.60 tff(24329,plain,
% 73.74/46.60 ((~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1)),
% 73.74/46.60 inference(unit_resolution,[status(thm)],[24328, 872, 24310])).
% 73.74/46.60 tff(24330,plain,
% 73.74/46.60 ((~v90(constB168, bitIndex1)) | v90(constB169, bitIndex1)),
% 73.74/46.60 inference(unit_resolution,[status(thm)],[24329, 24322])).
% 73.74/46.60 tff(24331,plain,
% 73.74/46.60 (v90(constB169, bitIndex1)),
% 73.74/46.60 inference(unit_resolution,[status(thm)],[24330, 24304])).
% 73.74/46.60 tff(24332,plain,
% 73.74/46.60 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB167)) | v130(constB167, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB167)) | v130(constB167, bitIndex2))),
% 73.74/46.60 inference(rewrite,[status(thm)],[])).
% 73.74/46.60 tff(24333,plain,
% 73.74/46.60 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB167)) | v130(constB167, bitIndex2))),
% 73.74/46.60 inference(quant_inst,[status(thm)],[])).
% 73.74/46.60 tff(24334,plain,
% 73.74/46.60 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB167)) | v130(constB167, bitIndex2)),
% 73.74/46.60 inference(modus_ponens,[status(thm)],[24333, 24332])).
% 73.74/46.60 tff(24335,plain,
% 73.74/46.60 (v130(constB167, bitIndex2)),
% 73.74/46.60 inference(unit_resolution,[status(thm)],[24334, 1786, 24217])).
% 73.74/46.60 tff(24336,plain,
% 73.74/46.60 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB167) | (~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB167) | (~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2))),
% 73.74/46.60 inference(rewrite,[status(thm)],[])).
% 73.74/46.60 tff(24337,plain,
% 73.74/46.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB167) | (~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2))),
% 73.74/46.60 inference(quant_inst,[status(thm)],[])).
% 73.74/46.60 tff(24338,plain,
% 73.74/46.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB167) | (~v130(constB167, bitIndex2)) | v127(constB167, bitIndex2)),
% 73.74/46.60 inference(modus_ponens,[status(thm)],[24337, 24336])).
% 73.74/46.60 tff(24339,plain,
% 73.74/46.60 (v26(constB167) | v127(constB167, bitIndex2)),
% 73.74/46.60 inference(unit_resolution,[status(thm)],[24338, 1304, 24335])).
% 73.74/46.60 tff(24340,plain,
% 73.74/46.60 (v127(constB167, bitIndex2)),
% 73.74/46.60 inference(unit_resolution,[status(thm)],[24339, 21208])).
% 73.74/46.60 tff(24341,plain,
% 73.74/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2))),
% 73.74/46.60 inference(rewrite,[status(thm)],[])).
% 73.74/46.60 tff(24342,plain,
% 73.74/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2))),
% 73.74/46.60 inference(quant_inst,[status(thm)],[])).
% 73.74/46.60 tff(24343,plain,
% 73.74/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2)),
% 73.74/46.60 inference(modus_ponens,[status(thm)],[24342, 24341])).
% 73.74/46.60 tff(24344,plain,
% 73.74/46.60 ((~v127(constB167, bitIndex2)) | v129(constB168, bitIndex2)),
% 73.74/46.60 inference(unit_resolution,[status(thm)],[24343, 1319, 24229])).
% 73.74/46.60 tff(24345,plain,
% 73.74/46.60 (v129(constB168, bitIndex2)),
% 73.74/46.60 inference(unit_resolution,[status(thm)],[24344, 24340])).
% 73.74/46.60 tff(24346,plain,
% 73.74/46.60 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168)))),
% 73.74/46.60 inference(rewrite,[status(thm)],[])).
% 73.74/46.60 tff(24347,plain,
% 73.74/46.60 ((v90(constB168, bitIndex2) | (~v100(constB168)) | (~v129(constB168, bitIndex2))) <=> (v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168)))),
% 73.74/46.60 inference(rewrite,[status(thm)],[])).
% 73.74/46.60 tff(24348,plain,
% 73.74/46.60 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~v100(constB168)) | (~v129(constB168, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168))))),
% 73.74/46.60 inference(monotonicity,[status(thm)],[24347])).
% 73.74/46.60 tff(24349,plain,
% 73.74/46.60 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~v100(constB168)) | (~v129(constB168, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168)))),
% 73.74/46.60 inference(transitivity,[status(thm)],[24348, 24346])).
% 73.74/46.60 tff(24350,plain,
% 73.74/46.60 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~v100(constB168)) | (~v129(constB168, bitIndex2)))),
% 73.74/46.60 inference(quant_inst,[status(thm)],[])).
% 73.74/46.60 tff(24351,plain,
% 73.74/46.60 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2)) | (~v100(constB168))),
% 73.74/46.60 inference(modus_ponens,[status(thm)],[24350, 24349])).
% 73.74/46.60 tff(24352,plain,
% 73.74/46.60 (v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2))),
% 73.74/46.60 inference(unit_resolution,[status(thm)],[24351, 1334, 24296])).
% 73.74/46.60 tff(24353,plain,
% 73.74/46.60 (v90(constB168, bitIndex2)),
% 73.74/46.60 inference(unit_resolution,[status(thm)],[24352, 24345])).
% 73.74/46.60 tff(24354,plain,
% 73.74/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2))),
% 73.74/46.60 inference(rewrite,[status(thm)],[])).
% 73.74/46.60 tff(24355,plain,
% 73.74/46.60 (((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2)) <=> ((~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2))),
% 73.77/46.60 inference(rewrite,[status(thm)],[])).
% 73.77/46.60 tff(24356,plain,
% 73.77/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2)))),
% 73.77/46.60 inference(monotonicity,[status(thm)],[24355])).
% 73.77/46.60 tff(24357,plain,
% 73.77/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2))),
% 73.77/46.60 inference(transitivity,[status(thm)],[24356, 24354])).
% 73.77/46.60 tff(24358,plain,
% 73.77/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2))),
% 73.77/46.60 inference(quant_inst,[status(thm)],[])).
% 73.77/46.60 tff(24359,plain,
% 73.77/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex2)),
% 73.77/46.60 inference(modus_ponens,[status(thm)],[24358, 24357])).
% 73.77/46.60 tff(24360,plain,
% 73.77/46.60 ((~v90(constB168, bitIndex2)) | v100(constB169) | v90(constB169, bitIndex2)),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24359, 1370, 24310])).
% 73.77/46.60 tff(24361,plain,
% 73.77/46.60 ((~v90(constB168, bitIndex2)) | v90(constB169, bitIndex2)),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24360, 24322])).
% 73.77/46.60 tff(24362,plain,
% 73.77/46.60 (v90(constB169, bitIndex2)),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24361, 24353])).
% 73.77/46.60 tff(24363,assumption,(v127(constB167, bitIndex0)), introduced(assumption)).
% 73.77/46.60 tff(24364,plain,
% 73.77/46.60 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB167)) | (~v130(constB167, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB167)) | (~v130(constB167, bitIndex0)))),
% 73.77/46.60 inference(rewrite,[status(thm)],[])).
% 73.77/46.60 tff(24365,plain,
% 73.77/46.60 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB167)) | (~v130(constB167, bitIndex0)))),
% 73.77/46.60 inference(quant_inst,[status(thm)],[])).
% 73.77/46.60 tff(24366,plain,
% 73.77/46.60 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB167)) | (~v130(constB167, bitIndex0))),
% 73.77/46.60 inference(modus_ponens,[status(thm)],[24365, 24364])).
% 73.77/46.60 tff(24367,plain,
% 73.77/46.60 (~v130(constB167, bitIndex0)),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24366, 1992, 24217])).
% 73.77/46.60 tff(24368,plain,
% 73.77/46.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))),
% 73.77/46.60 inference(rewrite,[status(thm)],[])).
% 73.77/46.60 tff(24369,plain,
% 73.77/46.60 ((v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0))) <=> ((~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))),
% 73.77/46.60 inference(rewrite,[status(thm)],[])).
% 73.77/46.60 tff(24370,plain,
% 73.77/46.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0)))),
% 73.77/46.60 inference(monotonicity,[status(thm)],[24369])).
% 73.77/46.60 tff(24371,plain,
% 73.77/46.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))),
% 73.77/46.60 inference(transitivity,[status(thm)],[24370, 24368])).
% 73.77/46.60 tff(24372,plain,
% 73.77/46.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0)))),
% 73.77/46.60 inference(quant_inst,[status(thm)],[])).
% 73.77/46.60 tff(24373,plain,
% 73.77/46.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0)),
% 73.77/46.60 inference(modus_ponens,[status(thm)],[24372, 24371])).
% 73.77/46.60 tff(24374,plain,
% 73.77/46.60 ((~v127(constB167, bitIndex0)) | v26(constB167)),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24373, 905, 24367])).
% 73.77/46.60 tff(24375,plain,
% 73.77/46.60 (v26(constB167)),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24374, 24363])).
% 73.77/46.60 tff(24376,plain,
% 73.77/46.60 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB167)) | (~v127(constB167, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB167)) | (~v127(constB167, bitIndex0)))),
% 73.77/46.60 inference(rewrite,[status(thm)],[])).
% 73.77/46.60 tff(24377,plain,
% 73.77/46.60 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB167)) | (~v127(constB167, bitIndex0)))),
% 73.77/46.60 inference(quant_inst,[status(thm)],[])).
% 73.77/46.60 tff(24378,plain,
% 73.77/46.60 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB167)) | (~v127(constB167, bitIndex0))),
% 73.77/46.60 inference(modus_ponens,[status(thm)],[24377, 24376])).
% 73.77/46.60 tff(24379,plain,
% 73.77/46.60 ($false),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24378, 3417, 24363, 24375])).
% 73.77/46.60 tff(24380,plain,(~v127(constB167, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.77/46.60 tff(24381,plain,
% 73.77/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0)))),
% 73.77/46.60 inference(rewrite,[status(thm)],[])).
% 73.77/46.60 tff(24382,plain,
% 73.77/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0)))),
% 73.77/46.60 inference(quant_inst,[status(thm)],[])).
% 73.77/46.60 tff(24383,plain,
% 73.77/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0))),
% 73.77/46.60 inference(modus_ponens,[status(thm)],[24382, 24381])).
% 73.77/46.60 tff(24384,plain,
% 73.77/46.60 (v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0))),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24383, 923, 24229])).
% 73.77/46.60 tff(24385,plain,
% 73.77/46.60 (~v129(constB168, bitIndex0)),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24384, 24380])).
% 73.77/46.60 tff(24386,plain,
% 73.77/46.60 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))),
% 73.77/46.60 inference(rewrite,[status(thm)],[])).
% 73.77/46.60 tff(24387,plain,
% 73.77/46.60 (((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0)) <=> ((~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))),
% 73.77/46.60 inference(rewrite,[status(thm)],[])).
% 73.77/46.60 tff(24388,plain,
% 73.77/46.60 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168))))),
% 73.77/46.60 inference(monotonicity,[status(thm)],[24387])).
% 73.77/46.60 tff(24389,plain,
% 73.77/46.60 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))),
% 73.77/46.60 inference(transitivity,[status(thm)],[24388, 24386])).
% 73.77/46.60 tff(24390,plain,
% 73.77/46.60 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0))),
% 73.77/46.60 inference(quant_inst,[status(thm)],[])).
% 73.77/46.60 tff(24391,plain,
% 73.77/46.60 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168))),
% 73.77/46.60 inference(modus_ponens,[status(thm)],[24390, 24389])).
% 73.77/46.60 tff(24392,plain,
% 73.77/46.60 ((~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0)),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24391, 938, 24296])).
% 73.77/46.60 tff(24393,plain,
% 73.77/46.60 (~v90(constB168, bitIndex0)),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24392, 24385])).
% 73.77/46.60 tff(24394,plain,
% 73.77/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 73.77/46.60 inference(rewrite,[status(thm)],[])).
% 73.77/46.60 tff(24395,plain,
% 73.77/46.60 (((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0))) <=> (v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 73.77/46.60 inference(rewrite,[status(thm)],[])).
% 73.77/46.60 tff(24396,plain,
% 73.77/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0))))),
% 73.77/46.60 inference(monotonicity,[status(thm)],[24395])).
% 73.77/46.60 tff(24397,plain,
% 73.77/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 73.77/46.60 inference(transitivity,[status(thm)],[24396, 24394])).
% 73.77/46.60 tff(24398,plain,
% 73.77/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 73.77/46.60 inference(quant_inst,[status(thm)],[])).
% 73.77/46.60 tff(24399,plain,
% 73.77/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0))),
% 73.77/46.60 inference(modus_ponens,[status(thm)],[24398, 24397])).
% 73.77/46.60 tff(24400,plain,
% 73.77/46.60 (v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0))),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24399, 130, 24310])).
% 73.77/46.60 tff(24401,plain,
% 73.77/46.60 (v90(constB168, bitIndex0) | (~v90(constB169, bitIndex0))),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24400, 24322])).
% 73.77/46.60 tff(24402,plain,
% 73.77/46.60 (~v90(constB169, bitIndex0)),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24401, 24393])).
% 73.77/46.60 tff(24403,plain,
% 73.77/46.60 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)) | v125(constB169))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)) | v125(constB169))),
% 73.77/46.60 inference(rewrite,[status(thm)],[])).
% 73.77/46.60 tff(24404,plain,
% 73.77/46.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)) | v125(constB169))),
% 73.77/46.60 inference(quant_inst,[status(thm)],[])).
% 73.77/46.60 tff(24405,plain,
% 73.77/46.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)) | v125(constB169)),
% 73.77/46.60 inference(modus_ponens,[status(thm)],[24404, 24403])).
% 73.77/46.60 tff(24406,plain,
% 73.77/46.60 ((~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)) | v125(constB169)),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24405, 2036, 24402])).
% 73.77/46.60 tff(24407,plain,
% 73.77/46.60 (v125(constB169)),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24406, 24362, 24331])).
% 73.77/46.60 tff(24408,plain,
% 73.77/46.60 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB169) | (~v125(constB169)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB169) | (~v125(constB169)))),
% 73.77/46.60 inference(rewrite,[status(thm)],[])).
% 73.77/46.60 tff(24409,plain,
% 73.77/46.60 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB169) | (~v125(constB169)))),
% 73.77/46.60 inference(quant_inst,[status(thm)],[])).
% 73.77/46.60 tff(24410,plain,
% 73.77/46.60 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB169) | (~v125(constB169))),
% 73.77/46.60 inference(modus_ponens,[status(thm)],[24409, 24408])).
% 73.77/46.60 tff(24411,plain,
% 73.77/46.60 (v113(constB169)),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24410, 2047, 24407])).
% 73.77/46.60 tff(24412,assumption,(v26(constB169)), introduced(assumption)).
% 73.77/46.60 tff(24413,plain,
% 73.77/46.60 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB169))),
% 73.77/46.60 inference(quant_inst,[status(thm)],[])).
% 73.77/46.60 tff(24414,plain,
% 73.77/46.60 ($false),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24413, 37, 24412])).
% 73.77/46.60 tff(24415,plain,(~v26(constB169)), inference(lemma,lemma(discharge,[]))).
% 73.77/46.60 tff(24416,plain,
% 73.77/46.60 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | (~v113(constB169)) | v112(constB169))),
% 73.77/46.60 inference(rewrite,[status(thm)],[])).
% 73.77/46.60 tff(24417,plain,
% 73.77/46.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))),
% 73.77/46.60 inference(quant_inst,[status(thm)],[])).
% 73.77/46.60 tff(24418,plain,
% 73.77/46.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | (~v113(constB169)) | v112(constB169)),
% 73.77/46.60 inference(modus_ponens,[status(thm)],[24417, 24416])).
% 73.77/46.60 tff(24419,plain,
% 73.77/46.60 ((~v113(constB169)) | v112(constB169)),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24418, 301, 24415])).
% 73.77/46.60 tff(24420,plain,
% 73.77/46.60 (v112(constB169)),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24419, 24411])).
% 73.77/46.60 tff(24421,plain,
% 73.77/46.60 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB169) | (~v112(constB169)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB169) | (~v112(constB169)))),
% 73.77/46.60 inference(rewrite,[status(thm)],[])).
% 73.77/46.60 tff(24422,plain,
% 73.77/46.60 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB169) | (~v112(constB169)))),
% 73.77/46.60 inference(quant_inst,[status(thm)],[])).
% 73.77/46.60 tff(24423,plain,
% 73.77/46.60 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB169) | (~v112(constB169))),
% 73.77/46.60 inference(modus_ponens,[status(thm)],[24422, 24421])).
% 73.77/46.60 tff(24424,plain,
% 73.77/46.60 (v108(constB169)),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24423, 210, 24420])).
% 73.77/46.60 tff(24425,plain,
% 73.77/46.60 (nextState(constB169, constB170) <=> nextState(constB169, constB170)),
% 73.77/46.60 inference(rewrite,[status(thm)],[])).
% 73.77/46.60 tff(24426,axiom,(nextState(constB169, constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_169_1')).
% 73.77/46.60 tff(24427,plain,
% 73.77/46.60 (nextState(constB169, constB170)),
% 73.77/46.60 inference(modus_ponens,[status(thm)],[24426, 24425])).
% 73.77/46.60 tff(24428,plain,
% 73.77/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 73.77/46.60 inference(rewrite,[status(thm)],[])).
% 73.77/46.60 tff(24429,plain,
% 73.77/46.60 (((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170)) <=> ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 73.77/46.60 inference(rewrite,[status(thm)],[])).
% 73.77/46.60 tff(24430,plain,
% 73.77/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169))))),
% 73.77/46.60 inference(monotonicity,[status(thm)],[24429])).
% 73.77/46.60 tff(24431,plain,
% 73.77/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 73.77/46.60 inference(transitivity,[status(thm)],[24430, 24428])).
% 73.77/46.60 tff(24432,plain,
% 73.77/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))),
% 73.77/46.60 inference(quant_inst,[status(thm)],[])).
% 73.77/46.60 tff(24433,plain,
% 73.77/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169))),
% 73.77/46.60 inference(modus_ponens,[status(thm)],[24432, 24431])).
% 73.77/46.60 tff(24434,plain,
% 73.77/46.60 (v110(constB170) | (~v108(constB169))),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24433, 317, 24427])).
% 73.77/46.60 tff(24435,plain,
% 73.77/46.60 (v110(constB170)),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24434, 24424])).
% 73.77/46.60 tff(24436,plain,
% 73.77/46.60 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))),
% 73.77/46.60 inference(rewrite,[status(thm)],[])).
% 73.77/46.60 tff(24437,plain,
% 73.77/46.60 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))),
% 73.77/46.60 inference(quant_inst,[status(thm)],[])).
% 73.77/46.60 tff(24438,plain,
% 73.77/46.60 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170))),
% 73.77/46.60 inference(modus_ponens,[status(thm)],[24437, 24436])).
% 73.77/46.60 tff(24439,plain,
% 73.77/46.60 (~v104(constB170)),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24438, 335, 24427, 24307])).
% 73.77/46.60 tff(24440,plain,
% 73.77/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))),
% 73.77/46.60 inference(rewrite,[status(thm)],[])).
% 73.77/46.60 tff(24441,plain,
% 73.77/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))),
% 73.77/46.60 inference(quant_inst,[status(thm)],[])).
% 73.77/46.60 tff(24442,plain,
% 73.77/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v102(constB170) | v104(constB170)),
% 73.77/46.60 inference(modus_ponens,[status(thm)],[24441, 24440])).
% 73.77/46.60 tff(24443,plain,
% 73.77/46.60 (v102(constB170) | v104(constB170)),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24442, 349, 24427])).
% 73.77/46.60 tff(24444,plain,
% 73.77/46.60 (v102(constB170)),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24443, 24439])).
% 73.77/46.60 tff(24445,plain,
% 73.77/46.60 (v1(constB170) <=> v1(constB170)),
% 73.77/46.60 inference(rewrite,[status(thm)],[])).
% 73.77/46.60 tff(24446,axiom,(v1(constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_170_1')).
% 73.77/46.60 tff(24447,plain,
% 73.77/46.60 (v1(constB170)),
% 73.77/46.60 inference(modus_ponens,[status(thm)],[24446, 24445])).
% 73.77/46.60 tff(24448,plain,
% 73.77/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))),
% 73.77/46.60 inference(rewrite,[status(thm)],[])).
% 73.77/46.60 tff(24449,plain,
% 73.77/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))),
% 73.77/46.60 inference(quant_inst,[status(thm)],[])).
% 73.77/46.60 tff(24450,plain,
% 73.77/46.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170))),
% 73.77/46.60 inference(modus_ponens,[status(thm)],[24449, 24448])).
% 73.77/46.60 tff(24451,plain,
% 73.77/46.60 (v101(constB170) | (~v102(constB170))),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24450, 367, 24427, 24447])).
% 73.77/46.60 tff(24452,plain,
% 73.77/46.60 (v101(constB170)),
% 73.77/46.60 inference(unit_resolution,[status(thm)],[24451, 24444])).
% 73.77/46.60 tff(24453,plain,
% 73.77/46.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 73.77/46.60 inference(rewrite,[status(thm)],[])).
% 73.77/46.60 tff(24454,plain,
% 73.77/46.60 (((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170)) <=> ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24455,plain,
% 73.77/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170))))),
% 73.77/46.61 inference(monotonicity,[status(thm)],[24454])).
% 73.77/46.61 tff(24456,plain,
% 73.77/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 73.77/46.61 inference(transitivity,[status(thm)],[24455, 24453])).
% 73.77/46.61 tff(24457,plain,
% 73.77/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))),
% 73.77/46.61 inference(quant_inst,[status(thm)],[])).
% 73.77/46.61 tff(24458,plain,
% 73.77/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170))),
% 73.77/46.61 inference(modus_ponens,[status(thm)],[24457, 24456])).
% 73.77/46.61 tff(24459,plain,
% 73.77/46.61 (v100(constB170) | (~v101(constB170)) | (~v110(constB170))),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24458, 382, 24427])).
% 73.77/46.61 tff(24460,plain,
% 73.77/46.61 (v100(constB170) | (~v110(constB170))),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24459, 24452])).
% 73.77/46.61 tff(24461,plain,
% 73.77/46.61 (v100(constB170)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24460, 24435])).
% 73.77/46.61 tff(24462,plain,
% 73.77/46.61 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB169, bitIndex2)) | (~v121(constB169)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB169, bitIndex2)) | (~v121(constB169)))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24463,plain,
% 73.77/46.61 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB169, bitIndex2)) | (~v121(constB169)))),
% 73.77/46.61 inference(quant_inst,[status(thm)],[])).
% 73.77/46.61 tff(24464,plain,
% 73.77/46.61 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB169, bitIndex2)) | (~v121(constB169))),
% 73.77/46.61 inference(modus_ponens,[status(thm)],[24463, 24462])).
% 73.77/46.61 tff(24465,plain,
% 73.77/46.61 (~v121(constB169)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24464, 1842, 24362])).
% 73.77/46.61 tff(24466,assumption,(v123(constB169)), introduced(assumption)).
% 73.77/46.61 tff(24467,plain,
% 73.77/46.61 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB169, bitIndex1)) | (~v123(constB169)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB169, bitIndex1)) | (~v123(constB169)))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24468,plain,
% 73.77/46.61 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB169, bitIndex1)) | (~v123(constB169)))),
% 73.77/46.61 inference(quant_inst,[status(thm)],[])).
% 73.77/46.61 tff(24469,plain,
% 73.77/46.61 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB169, bitIndex1)) | (~v123(constB169))),
% 73.77/46.61 inference(modus_ponens,[status(thm)],[24468, 24467])).
% 73.77/46.61 tff(24470,plain,
% 73.77/46.61 (~v90(constB169, bitIndex1)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24469, 1930, 24466])).
% 73.77/46.61 tff(24471,plain,
% 73.77/46.61 (~v90(constB168, bitIndex1)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24330, 24470])).
% 73.77/46.61 tff(24472,plain,
% 73.77/46.61 (~v129(constB168, bitIndex1)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24303, 24471])).
% 73.77/46.61 tff(24473,plain,
% 73.77/46.61 (~v127(constB167, bitIndex1)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24233, 24472])).
% 73.77/46.61 tff(24474,plain,
% 73.77/46.61 (v26(constB167)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24225, 24473])).
% 73.77/46.61 tff(24475,plain,
% 73.77/46.61 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB169, bitIndex2) | (~v123(constB169)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB169, bitIndex2) | (~v123(constB169)))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24476,plain,
% 73.77/46.61 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB169, bitIndex2) | (~v123(constB169)))),
% 73.77/46.61 inference(quant_inst,[status(thm)],[])).
% 73.77/46.61 tff(24477,plain,
% 73.77/46.61 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB169, bitIndex2) | (~v123(constB169))),
% 73.77/46.61 inference(modus_ponens,[status(thm)],[24476, 24475])).
% 73.77/46.61 tff(24478,plain,
% 73.77/46.61 (v90(constB169, bitIndex2)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24477, 3072, 24466])).
% 73.77/46.61 tff(24479,plain,
% 73.77/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex2)))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24480,plain,
% 73.77/46.61 (((~nextState(constB168, constB169)) | v90(constB168, bitIndex2) | v100(constB169) | (~v90(constB169, bitIndex2))) <=> (v90(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex2)))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24481,plain,
% 73.77/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex2) | v100(constB169) | (~v90(constB169, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex2))))),
% 73.77/46.61 inference(monotonicity,[status(thm)],[24480])).
% 73.77/46.61 tff(24482,plain,
% 73.77/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex2) | v100(constB169) | (~v90(constB169, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex2)))),
% 73.77/46.61 inference(transitivity,[status(thm)],[24481, 24479])).
% 73.77/46.61 tff(24483,plain,
% 73.77/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB168, constB169)) | v90(constB168, bitIndex2) | v100(constB169) | (~v90(constB169, bitIndex2)))),
% 73.77/46.61 inference(quant_inst,[status(thm)],[])).
% 73.77/46.61 tff(24484,plain,
% 73.77/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex2))),
% 73.77/46.61 inference(modus_ponens,[status(thm)],[24483, 24482])).
% 73.77/46.61 tff(24485,plain,
% 73.77/46.61 (v90(constB168, bitIndex2) | v100(constB169) | (~v90(constB169, bitIndex2))),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24484, 88, 24310])).
% 73.77/46.61 tff(24486,plain,
% 73.77/46.61 (v90(constB168, bitIndex2) | (~v90(constB169, bitIndex2))),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24485, 24322])).
% 73.77/46.61 tff(24487,plain,
% 73.77/46.61 (v90(constB168, bitIndex2)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24486, 24478])).
% 73.77/46.61 tff(24488,plain,
% 73.77/46.61 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB168, bitIndex2)) | v129(constB168, bitIndex2) | (~v100(constB168)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB168, bitIndex2)) | v129(constB168, bitIndex2) | (~v100(constB168)))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24489,plain,
% 73.77/46.61 (((~v90(constB168, bitIndex2)) | (~v100(constB168)) | v129(constB168, bitIndex2)) <=> ((~v90(constB168, bitIndex2)) | v129(constB168, bitIndex2) | (~v100(constB168)))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24490,plain,
% 73.77/46.61 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB168, bitIndex2)) | (~v100(constB168)) | v129(constB168, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB168, bitIndex2)) | v129(constB168, bitIndex2) | (~v100(constB168))))),
% 73.77/46.61 inference(monotonicity,[status(thm)],[24489])).
% 73.77/46.61 tff(24491,plain,
% 73.77/46.61 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB168, bitIndex2)) | (~v100(constB168)) | v129(constB168, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB168, bitIndex2)) | v129(constB168, bitIndex2) | (~v100(constB168)))),
% 73.77/46.61 inference(transitivity,[status(thm)],[24490, 24488])).
% 73.77/46.61 tff(24492,plain,
% 73.77/46.61 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB168, bitIndex2)) | (~v100(constB168)) | v129(constB168, bitIndex2))),
% 73.77/46.61 inference(quant_inst,[status(thm)],[])).
% 73.77/46.61 tff(24493,plain,
% 73.77/46.61 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB168, bitIndex2)) | v129(constB168, bitIndex2) | (~v100(constB168))),
% 73.77/46.61 inference(modus_ponens,[status(thm)],[24492, 24491])).
% 73.77/46.61 tff(24494,plain,
% 73.77/46.61 ((~v90(constB168, bitIndex2)) | v129(constB168, bitIndex2)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24493, 503, 24296])).
% 73.77/46.61 tff(24495,plain,
% 73.77/46.61 (v129(constB168, bitIndex2)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24494, 24487])).
% 73.77/46.61 tff(24496,plain,
% 73.77/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB167, constB168)) | v127(constB167, bitIndex2) | (~v129(constB168, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB167, constB168)) | v127(constB167, bitIndex2) | (~v129(constB168, bitIndex2)))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24497,plain,
% 73.77/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB167, constB168)) | v127(constB167, bitIndex2) | (~v129(constB168, bitIndex2)))),
% 73.77/46.61 inference(quant_inst,[status(thm)],[])).
% 73.77/46.61 tff(24498,plain,
% 73.77/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB167, constB168)) | v127(constB167, bitIndex2) | (~v129(constB168, bitIndex2))),
% 73.77/46.61 inference(modus_ponens,[status(thm)],[24497, 24496])).
% 73.77/46.61 tff(24499,plain,
% 73.77/46.61 (v127(constB167, bitIndex2) | (~v129(constB168, bitIndex2))),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24498, 488, 24229])).
% 73.77/46.61 tff(24500,plain,
% 73.77/46.61 (v127(constB167, bitIndex2)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24499, 24495])).
% 73.77/46.61 tff(24501,plain,
% 73.77/46.61 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB167)) | (~v127(constB167, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB167)) | (~v127(constB167, bitIndex2)))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24502,plain,
% 73.77/46.61 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB167)) | (~v127(constB167, bitIndex2)))),
% 73.77/46.61 inference(quant_inst,[status(thm)],[])).
% 73.77/46.61 tff(24503,plain,
% 73.77/46.61 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB167)) | (~v127(constB167, bitIndex2))),
% 73.77/46.61 inference(modus_ponens,[status(thm)],[24502, 24501])).
% 73.77/46.61 tff(24504,plain,
% 73.77/46.61 ($false),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24503, 754, 24500, 24474])).
% 73.77/46.61 tff(24505,plain,(~v123(constB169)), inference(lemma,lemma(discharge,[]))).
% 73.77/46.61 tff(24506,plain,
% 73.77/46.61 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB169)) | (~v90(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB169)) | (~v90(constB169, bitIndex1)))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24507,plain,
% 73.77/46.61 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB169)) | (~v90(constB169, bitIndex1)))),
% 73.77/46.61 inference(quant_inst,[status(thm)],[])).
% 73.77/46.61 tff(24508,plain,
% 73.77/46.61 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB169)) | (~v90(constB169, bitIndex1))),
% 73.77/46.61 inference(modus_ponens,[status(thm)],[24507, 24506])).
% 73.77/46.61 tff(24509,plain,
% 73.77/46.61 (~v119(constB169)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24508, 1908, 24331])).
% 73.77/46.61 tff(24510,plain,
% 73.77/46.61 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB169, bitIndex0) | (~v124(constB169)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB169, bitIndex0) | (~v124(constB169)))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24511,plain,
% 73.77/46.61 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB169, bitIndex0) | (~v124(constB169)))),
% 73.77/46.61 inference(quant_inst,[status(thm)],[])).
% 73.77/46.61 tff(24512,plain,
% 73.77/46.61 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB169, bitIndex0) | (~v124(constB169))),
% 73.77/46.61 inference(modus_ponens,[status(thm)],[24511, 24510])).
% 73.77/46.61 tff(24513,plain,
% 73.77/46.61 (~v124(constB169)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24512, 3745, 24402])).
% 73.77/46.61 tff(24514,plain,
% 73.77/46.61 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB169, bitIndex0) | (~v122(constB169)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB169, bitIndex0) | (~v122(constB169)))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24515,plain,
% 73.77/46.61 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB169, bitIndex0) | (~v122(constB169)))),
% 73.77/46.61 inference(quant_inst,[status(thm)],[])).
% 73.77/46.61 tff(24516,plain,
% 73.77/46.61 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB169, bitIndex0) | (~v122(constB169))),
% 73.77/46.61 inference(modus_ponens,[status(thm)],[24515, 24514])).
% 73.77/46.61 tff(24517,plain,
% 73.77/46.61 (~v122(constB169)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24516, 3734, 24402])).
% 73.77/46.61 tff(24518,plain,
% 73.77/46.61 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB169, bitIndex0) | (~v120(constB169)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB169, bitIndex0) | (~v120(constB169)))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24519,plain,
% 73.77/46.61 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB169, bitIndex0) | (~v120(constB169)))),
% 73.77/46.61 inference(quant_inst,[status(thm)],[])).
% 73.77/46.61 tff(24520,plain,
% 73.77/46.61 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB169, bitIndex0) | (~v120(constB169))),
% 73.77/46.61 inference(modus_ponens,[status(thm)],[24519, 24518])).
% 73.77/46.61 tff(24521,plain,
% 73.77/46.61 (~v120(constB169)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24520, 3723, 24402])).
% 73.77/46.61 tff(24522,plain,
% 73.77/46.61 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex2)))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24523,plain,
% 73.77/46.61 ((v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex2))) <=> (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex2)))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24524,plain,
% 73.77/46.61 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex2))))),
% 73.77/46.61 inference(monotonicity,[status(thm)],[24523])).
% 73.77/46.61 tff(24525,plain,
% 73.77/46.61 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex2)))),
% 73.77/46.61 inference(transitivity,[status(thm)],[24524, 24522])).
% 73.77/46.61 tff(24526,plain,
% 73.77/46.61 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex2)))),
% 73.77/46.61 inference(quant_inst,[status(thm)],[])).
% 73.77/46.61 tff(24527,plain,
% 73.77/46.61 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex2))),
% 73.77/46.61 inference(modus_ponens,[status(thm)],[24526, 24525])).
% 73.77/46.61 tff(24528,plain,
% 73.77/46.61 (v123(constB169) | v121(constB169) | v119(constB169) | (~v130(constB169, bitIndex2))),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24527, 1955, 24521, 24517, 24513])).
% 73.77/46.61 tff(24529,plain,
% 73.77/46.61 (~v130(constB169, bitIndex2)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24528, 24509, 24505, 24465])).
% 73.77/46.61 tff(24530,plain,
% 73.77/46.61 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24531,plain,
% 73.77/46.61 ((v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2))) <=> ((~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24532,plain,
% 73.77/46.61 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2)))),
% 73.77/46.61 inference(monotonicity,[status(thm)],[24531])).
% 73.77/46.61 tff(24533,plain,
% 73.77/46.61 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))),
% 73.77/46.61 inference(transitivity,[status(thm)],[24532, 24530])).
% 73.77/46.61 tff(24534,plain,
% 73.77/46.61 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2)))),
% 73.77/46.61 inference(quant_inst,[status(thm)],[])).
% 73.77/46.61 tff(24535,plain,
% 73.77/46.61 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2)),
% 73.77/46.61 inference(modus_ponens,[status(thm)],[24534, 24533])).
% 73.77/46.61 tff(24536,plain,
% 73.77/46.61 ((~v127(constB169, bitIndex2)) | v130(constB169, bitIndex2)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24535, 470, 24415])).
% 73.77/46.61 tff(24537,plain,
% 73.77/46.61 (~v127(constB169, bitIndex2)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24536, 24529])).
% 73.77/46.61 tff(24538,plain,
% 73.77/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2)))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24539,plain,
% 73.77/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2)))),
% 73.77/46.61 inference(quant_inst,[status(thm)],[])).
% 73.77/46.61 tff(24540,plain,
% 73.77/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2))),
% 73.77/46.61 inference(modus_ponens,[status(thm)],[24539, 24538])).
% 73.77/46.61 tff(24541,plain,
% 73.77/46.61 (v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2))),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24540, 488, 24427])).
% 73.77/46.61 tff(24542,plain,
% 73.77/46.61 (~v129(constB170, bitIndex2)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24541, 24537])).
% 73.77/46.61 tff(24543,plain,
% 73.77/46.61 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24544,plain,
% 73.77/46.61 (((~v90(constB170, bitIndex2)) | (~v100(constB170)) | v129(constB170, bitIndex2)) <=> ((~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24545,plain,
% 73.77/46.61 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB170, bitIndex2)) | (~v100(constB170)) | v129(constB170, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170))))),
% 73.77/46.61 inference(monotonicity,[status(thm)],[24544])).
% 73.77/46.61 tff(24546,plain,
% 73.77/46.61 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB170, bitIndex2)) | (~v100(constB170)) | v129(constB170, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))),
% 73.77/46.61 inference(transitivity,[status(thm)],[24545, 24543])).
% 73.77/46.61 tff(24547,plain,
% 73.77/46.61 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB170, bitIndex2)) | (~v100(constB170)) | v129(constB170, bitIndex2))),
% 73.77/46.61 inference(quant_inst,[status(thm)],[])).
% 73.77/46.61 tff(24548,plain,
% 73.77/46.61 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170))),
% 73.77/46.61 inference(modus_ponens,[status(thm)],[24547, 24546])).
% 73.77/46.61 tff(24549,plain,
% 73.77/46.61 ((~v90(constB170, bitIndex2)) | (~v100(constB170))),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24548, 503, 24542])).
% 73.77/46.61 tff(24550,plain,
% 73.77/46.61 (~v90(constB170, bitIndex2)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24549, 24461])).
% 73.77/46.61 tff(24551,plain,
% 73.77/46.61 ((~v1(constB171)) <=> (~v1(constB171))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24552,axiom,(~v1(constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_171_1_1')).
% 73.77/46.61 tff(24553,plain,
% 73.77/46.61 (~v1(constB171)),
% 73.77/46.61 inference(modus_ponens,[status(thm)],[24552, 24551])).
% 73.77/46.61 tff(24554,plain,
% 73.77/46.61 (nextState(constB170, constB171) <=> nextState(constB170, constB171)),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24555,axiom,(nextState(constB170, constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_170_1')).
% 73.77/46.61 tff(24556,plain,
% 73.77/46.61 (nextState(constB170, constB171)),
% 73.77/46.61 inference(modus_ponens,[status(thm)],[24555, 24554])).
% 73.77/46.61 tff(24557,plain,
% 73.77/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24558,plain,
% 73.77/46.61 (((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171)) <=> (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24559,plain,
% 73.77/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171))))),
% 73.77/46.61 inference(monotonicity,[status(thm)],[24558])).
% 73.77/46.61 tff(24560,plain,
% 73.77/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 73.77/46.61 inference(transitivity,[status(thm)],[24559, 24557])).
% 73.77/46.61 tff(24561,plain,
% 73.77/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))),
% 73.77/46.61 inference(quant_inst,[status(thm)],[])).
% 73.77/46.61 tff(24562,plain,
% 73.77/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171))),
% 73.77/46.61 inference(modus_ponens,[status(thm)],[24561, 24560])).
% 73.77/46.61 tff(24563,plain,
% 73.77/46.61 (~v101(constB171)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24562, 56, 24556, 24553])).
% 73.77/46.61 tff(24564,plain,
% 73.77/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24565,plain,
% 73.77/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))),
% 73.77/46.61 inference(quant_inst,[status(thm)],[])).
% 73.77/46.61 tff(24566,plain,
% 73.77/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171))),
% 73.77/46.61 inference(modus_ponens,[status(thm)],[24565, 24564])).
% 73.77/46.61 tff(24567,plain,
% 73.77/46.61 (v101(constB171) | (~v100(constB171))),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24566, 73, 24556])).
% 73.77/46.61 tff(24568,plain,
% 73.77/46.61 (~v100(constB171)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24567, 24563])).
% 73.77/46.61 tff(24569,plain,
% 73.77/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24570,plain,
% 73.77/46.61 (((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2))) <=> (v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24571,plain,
% 73.77/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2))))),
% 73.77/46.61 inference(monotonicity,[status(thm)],[24570])).
% 73.77/46.61 tff(24572,plain,
% 73.77/46.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 73.77/46.61 inference(transitivity,[status(thm)],[24571, 24569])).
% 73.77/46.61 tff(24573,plain,
% 73.77/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 73.77/46.61 inference(quant_inst,[status(thm)],[])).
% 73.77/46.61 tff(24574,plain,
% 73.77/46.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2))),
% 73.77/46.61 inference(modus_ponens,[status(thm)],[24573, 24572])).
% 73.77/46.61 tff(24575,plain,
% 73.77/46.61 (v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2))),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24574, 88, 24556])).
% 73.77/46.61 tff(24576,plain,
% 73.77/46.61 (v90(constB170, bitIndex2) | (~v90(constB171, bitIndex2))),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24575, 24568])).
% 73.77/46.61 tff(24577,plain,
% 73.77/46.61 (~v90(constB171, bitIndex2)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24576, 24550])).
% 73.77/46.61 tff(24578,assumption,(~v26(constB167)), introduced(assumption)).
% 73.77/46.61 tff(24579,plain,
% 73.77/46.61 (v127(constB167, bitIndex1)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24225, 24578])).
% 73.77/46.61 tff(24580,plain,
% 73.77/46.61 (v129(constB168, bitIndex1)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24233, 24579])).
% 73.77/46.61 tff(24581,plain,
% 73.77/46.61 (v90(constB168, bitIndex1)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24303, 24580])).
% 73.77/46.61 tff(24582,plain,
% 73.77/46.61 (v90(constB169, bitIndex1)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24330, 24581])).
% 73.77/46.61 tff(24583,plain,
% 73.77/46.61 (v127(constB167, bitIndex2)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24339, 24578])).
% 73.77/46.61 tff(24584,plain,
% 73.77/46.61 (v129(constB168, bitIndex2)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24344, 24583])).
% 73.77/46.61 tff(24585,plain,
% 73.77/46.61 (v90(constB168, bitIndex2)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24352, 24584])).
% 73.77/46.61 tff(24586,plain,
% 73.77/46.61 (v90(constB169, bitIndex2)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24361, 24585])).
% 73.77/46.61 tff(24587,plain,
% 73.77/46.61 (v125(constB169)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24406, 24586, 24582])).
% 73.77/46.61 tff(24588,plain,
% 73.77/46.61 (v113(constB169)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24410, 2047, 24587])).
% 73.77/46.61 tff(24589,plain,
% 73.77/46.61 (v112(constB169)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24419, 24588])).
% 73.77/46.61 tff(24590,plain,
% 73.77/46.61 (v108(constB169)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24423, 210, 24589])).
% 73.77/46.61 tff(24591,plain,
% 73.77/46.61 (v110(constB170)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24434, 24590])).
% 73.77/46.61 tff(24592,plain,
% 73.77/46.61 (v100(constB170)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24460, 24591])).
% 73.77/46.61 tff(24593,plain,
% 73.77/46.61 (~v121(constB169)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24464, 1842, 24586])).
% 73.77/46.61 tff(24594,plain,
% 73.77/46.61 (~v119(constB169)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24508, 1908, 24582])).
% 73.77/46.61 tff(24595,plain,
% 73.77/46.61 (~v130(constB169, bitIndex2)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24528, 24594, 24505, 24593])).
% 73.77/46.61 tff(24596,plain,
% 73.77/46.61 (~v127(constB169, bitIndex2)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24536, 24595])).
% 73.77/46.61 tff(24597,plain,
% 73.77/46.61 (~v129(constB170, bitIndex2)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24541, 24596])).
% 73.77/46.61 tff(24598,plain,
% 73.77/46.61 ((~v90(constB170, bitIndex2)) | (~v100(constB170))),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24548, 503, 24597])).
% 73.77/46.61 tff(24599,plain,
% 73.77/46.61 (~v90(constB170, bitIndex2)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24598, 24592])).
% 73.77/46.61 tff(24600,plain,
% 73.77/46.61 (~v90(constB171, bitIndex2)),
% 73.77/46.61 inference(unit_resolution,[status(thm)],[24576, 24599])).
% 73.77/46.61 tff(24601,plain,
% 73.77/46.61 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex1)))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24602,plain,
% 73.77/46.61 ((v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex1))) <=> (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex1)))),
% 73.77/46.61 inference(rewrite,[status(thm)],[])).
% 73.77/46.61 tff(24603,plain,
% 73.77/46.61 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex1))))),
% 73.77/46.61 inference(monotonicity,[status(thm)],[24602])).
% 73.77/46.61 tff(24604,plain,
% 73.77/46.61 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex1)))),
% 73.77/46.62 inference(transitivity,[status(thm)],[24603, 24601])).
% 73.77/46.62 tff(24605,plain,
% 73.77/46.62 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, bitIndex1)))),
% 73.77/46.62 inference(quant_inst,[status(thm)],[])).
% 73.77/46.62 tff(24606,plain,
% 73.77/46.62 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~v130(constB169, bitIndex1))),
% 73.77/46.62 inference(modus_ponens,[status(thm)],[24605, 24604])).
% 73.77/46.62 tff(24607,plain,
% 73.77/46.62 (v123(constB169) | v121(constB169) | v119(constB169) | (~v130(constB169, bitIndex1))),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24606, 2146, 24521, 24517, 24513])).
% 73.77/46.62 tff(24608,plain,
% 73.77/46.62 (~v130(constB169, bitIndex1)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24607, 24594, 24505, 24593])).
% 73.77/46.62 tff(24609,plain,
% 73.77/46.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24610,plain,
% 73.77/46.62 ((v26(constB169) | v130(constB169, bitIndex1) | (~v127(constB169, bitIndex1))) <=> ((~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24611,plain,
% 73.77/46.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB169) | v130(constB169, bitIndex1) | (~v127(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1)))),
% 73.77/46.62 inference(monotonicity,[status(thm)],[24610])).
% 73.77/46.62 tff(24612,plain,
% 73.77/46.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB169) | v130(constB169, bitIndex1) | (~v127(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1))),
% 73.77/46.62 inference(transitivity,[status(thm)],[24611, 24609])).
% 73.77/46.62 tff(24613,plain,
% 73.77/46.62 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB169) | v130(constB169, bitIndex1) | (~v127(constB169, bitIndex1)))),
% 73.77/46.62 inference(quant_inst,[status(thm)],[])).
% 73.77/46.62 tff(24614,plain,
% 73.77/46.62 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB169, bitIndex1)) | v26(constB169) | v130(constB169, bitIndex1)),
% 73.77/46.62 inference(modus_ponens,[status(thm)],[24613, 24612])).
% 73.77/46.62 tff(24615,plain,
% 73.77/46.62 ((~v127(constB169, bitIndex1)) | v130(constB169, bitIndex1)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24614, 555, 24415])).
% 73.77/46.62 tff(24616,plain,
% 73.77/46.62 (~v127(constB169, bitIndex1)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24615, 24608])).
% 73.77/46.62 tff(24617,plain,
% 73.77/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex1) | (~v129(constB170, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex1) | (~v129(constB170, bitIndex1)))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24618,plain,
% 73.77/46.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex1) | (~v129(constB170, bitIndex1)))),
% 73.77/46.62 inference(quant_inst,[status(thm)],[])).
% 73.77/46.62 tff(24619,plain,
% 73.77/46.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex1) | (~v129(constB170, bitIndex1))),
% 73.77/46.62 inference(modus_ponens,[status(thm)],[24618, 24617])).
% 73.77/46.62 tff(24620,plain,
% 73.77/46.62 (v127(constB169, bitIndex1) | (~v129(constB170, bitIndex1))),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24619, 588, 24427])).
% 73.77/46.62 tff(24621,plain,
% 73.77/46.62 (~v129(constB170, bitIndex1)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24620, 24616])).
% 73.77/46.62 tff(24622,plain,
% 73.77/46.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1) | (~v100(constB170)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1) | (~v100(constB170)))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24623,plain,
% 73.77/46.62 (((~v90(constB170, bitIndex1)) | (~v100(constB170)) | v129(constB170, bitIndex1)) <=> ((~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1) | (~v100(constB170)))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24624,plain,
% 73.77/46.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | (~v100(constB170)) | v129(constB170, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1) | (~v100(constB170))))),
% 73.77/46.62 inference(monotonicity,[status(thm)],[24623])).
% 73.77/46.62 tff(24625,plain,
% 73.77/46.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | (~v100(constB170)) | v129(constB170, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1) | (~v100(constB170)))),
% 73.77/46.62 inference(transitivity,[status(thm)],[24624, 24622])).
% 73.77/46.62 tff(24626,plain,
% 73.77/46.62 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | (~v100(constB170)) | v129(constB170, bitIndex1))),
% 73.77/46.62 inference(quant_inst,[status(thm)],[])).
% 73.77/46.62 tff(24627,plain,
% 73.77/46.62 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1) | (~v100(constB170))),
% 73.77/46.62 inference(modus_ponens,[status(thm)],[24626, 24625])).
% 73.77/46.62 tff(24628,plain,
% 73.77/46.62 ((~v90(constB170, bitIndex1)) | (~v100(constB170))),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24627, 603, 24621])).
% 73.77/46.62 tff(24629,plain,
% 73.77/46.62 (~v90(constB170, bitIndex1)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24628, 24592])).
% 73.77/46.62 tff(24630,plain,
% 73.77/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex1)))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24631,plain,
% 73.77/46.62 (((~nextState(constB170, constB171)) | v90(constB170, bitIndex1) | v100(constB171) | (~v90(constB171, bitIndex1))) <=> (v90(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex1)))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24632,plain,
% 73.77/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex1) | v100(constB171) | (~v90(constB171, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex1))))),
% 73.77/46.62 inference(monotonicity,[status(thm)],[24631])).
% 73.77/46.62 tff(24633,plain,
% 73.77/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex1) | v100(constB171) | (~v90(constB171, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex1)))),
% 73.77/46.62 inference(transitivity,[status(thm)],[24632, 24630])).
% 73.77/46.62 tff(24634,plain,
% 73.77/46.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB170, constB171)) | v90(constB170, bitIndex1) | v100(constB171) | (~v90(constB171, bitIndex1)))),
% 73.77/46.62 inference(quant_inst,[status(thm)],[])).
% 73.77/46.62 tff(24635,plain,
% 73.77/46.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex1))),
% 73.77/46.62 inference(modus_ponens,[status(thm)],[24634, 24633])).
% 73.77/46.62 tff(24636,plain,
% 73.77/46.62 (v90(constB170, bitIndex1) | v100(constB171) | (~v90(constB171, bitIndex1))),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24635, 109, 24556])).
% 73.77/46.62 tff(24637,plain,
% 73.77/46.62 (v90(constB170, bitIndex1) | (~v90(constB171, bitIndex1))),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24636, 24568])).
% 73.77/46.62 tff(24638,plain,
% 73.77/46.62 (~v90(constB171, bitIndex1)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24637, 24629])).
% 73.77/46.62 tff(24639,plain,
% 73.77/46.62 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | v130(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | v130(constB169, bitIndex0))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24640,plain,
% 73.77/46.62 ((v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, bitIndex0)) <=> (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | v130(constB169, bitIndex0))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24641,plain,
% 73.77/46.62 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | v130(constB169, bitIndex0)))),
% 73.77/46.62 inference(monotonicity,[status(thm)],[24640])).
% 73.77/46.62 tff(24642,plain,
% 73.77/46.62 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | v130(constB169, bitIndex0))),
% 73.77/46.62 inference(transitivity,[status(thm)],[24641, 24639])).
% 73.77/46.62 tff(24643,plain,
% 73.77/46.62 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB169) | v119(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, bitIndex0))),
% 73.77/46.62 inference(quant_inst,[status(thm)],[])).
% 73.77/46.62 tff(24644,plain,
% 73.77/46.62 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | v130(constB169, bitIndex0)),
% 73.77/46.62 inference(modus_ponens,[status(thm)],[24643, 24642])).
% 73.77/46.62 tff(24645,plain,
% 73.77/46.62 (v123(constB169) | v121(constB169) | v119(constB169) | v130(constB169, bitIndex0)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24644, 2192, 24521, 24517, 24513])).
% 73.77/46.62 tff(24646,plain,
% 73.77/46.62 (v130(constB169, bitIndex0)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24645, 24594, 24505, 24593])).
% 73.77/46.62 tff(24647,plain,
% 73.77/46.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24648,plain,
% 73.77/46.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0))),
% 73.77/46.62 inference(quant_inst,[status(thm)],[])).
% 73.77/46.62 tff(24649,plain,
% 73.77/46.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0)),
% 73.77/46.62 inference(modus_ponens,[status(thm)],[24648, 24647])).
% 73.77/46.62 tff(24650,plain,
% 73.77/46.62 ((~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24649, 179, 24415])).
% 73.77/46.62 tff(24651,plain,
% 73.77/46.62 (v127(constB169, bitIndex0)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24650, 24646])).
% 73.77/46.62 tff(24652,plain,
% 73.77/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24653,plain,
% 73.77/46.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0))),
% 73.77/46.62 inference(quant_inst,[status(thm)],[])).
% 73.77/46.62 tff(24654,plain,
% 73.77/46.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0)),
% 73.77/46.62 inference(modus_ponens,[status(thm)],[24653, 24652])).
% 73.77/46.62 tff(24655,plain,
% 73.77/46.62 ((~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24654, 197, 24427])).
% 73.77/46.62 tff(24656,plain,
% 73.77/46.62 (v129(constB170, bitIndex0)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24655, 24651])).
% 73.77/46.62 tff(24657,plain,
% 73.77/46.62 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24658,plain,
% 73.77/46.62 ((v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0))) <=> (v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24659,plain,
% 73.77/46.62 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170))))),
% 73.77/46.62 inference(monotonicity,[status(thm)],[24658])).
% 73.77/46.62 tff(24660,plain,
% 73.77/46.62 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))),
% 73.77/46.62 inference(transitivity,[status(thm)],[24659, 24657])).
% 73.77/46.62 tff(24661,plain,
% 73.77/46.62 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0)))),
% 73.77/46.62 inference(quant_inst,[status(thm)],[])).
% 73.77/46.62 tff(24662,plain,
% 73.77/46.62 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170))),
% 73.77/46.62 inference(modus_ponens,[status(thm)],[24661, 24660])).
% 73.77/46.62 tff(24663,plain,
% 73.77/46.62 (v90(constB170, bitIndex0) | (~v100(constB170))),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24662, 401, 24656])).
% 73.77/46.62 tff(24664,plain,
% 73.77/46.62 (v90(constB170, bitIndex0)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24663, 24592])).
% 73.77/46.62 tff(24665,plain,
% 73.77/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24666,plain,
% 73.77/46.62 (((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0)) <=> ((~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24667,plain,
% 73.77/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0)))),
% 73.77/46.62 inference(monotonicity,[status(thm)],[24666])).
% 73.77/46.62 tff(24668,plain,
% 73.77/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))),
% 73.77/46.62 inference(transitivity,[status(thm)],[24667, 24665])).
% 73.77/46.62 tff(24669,plain,
% 73.77/46.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0))),
% 73.77/46.62 inference(quant_inst,[status(thm)],[])).
% 73.77/46.62 tff(24670,plain,
% 73.77/46.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0)),
% 73.77/46.62 inference(modus_ponens,[status(thm)],[24669, 24668])).
% 73.77/46.62 tff(24671,plain,
% 73.77/46.62 ((~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24670, 437, 24556])).
% 73.77/46.62 tff(24672,plain,
% 73.77/46.62 ((~v90(constB170, bitIndex0)) | v90(constB171, bitIndex0)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24671, 24568])).
% 73.77/46.62 tff(24673,plain,
% 73.77/46.62 (v90(constB171, bitIndex0)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24672, 24664])).
% 73.77/46.62 tff(24674,plain,
% 73.77/46.62 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24675,plain,
% 73.77/46.62 (((~v90(constB171, bitIndex0)) | v120(constB171) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2)) <=> ((~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24676,plain,
% 73.77/46.62 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB171, bitIndex0)) | v120(constB171) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171)))),
% 73.77/46.62 inference(monotonicity,[status(thm)],[24675])).
% 73.77/46.62 tff(24677,plain,
% 73.77/46.62 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB171, bitIndex0)) | v120(constB171) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171))),
% 73.77/46.62 inference(transitivity,[status(thm)],[24676, 24674])).
% 73.77/46.62 tff(24678,plain,
% 73.77/46.62 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB171, bitIndex0)) | v120(constB171) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2))),
% 73.77/46.62 inference(quant_inst,[status(thm)],[])).
% 73.77/46.62 tff(24679,plain,
% 73.77/46.62 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | v120(constB171)),
% 73.77/46.62 inference(modus_ponens,[status(thm)],[24678, 24677])).
% 73.77/46.62 tff(24680,plain,
% 73.77/46.62 (v120(constB171)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24679, 631, 24673, 24638, 24600])).
% 73.77/46.62 tff(24681,plain,
% 73.77/46.62 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB171)) | v130(constB171, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB171)) | v130(constB171, bitIndex1))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24682,plain,
% 73.77/46.62 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB171)) | v130(constB171, bitIndex1))),
% 73.77/46.62 inference(quant_inst,[status(thm)],[])).
% 73.77/46.62 tff(24683,plain,
% 73.77/46.62 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB171)) | v130(constB171, bitIndex1)),
% 73.77/46.62 inference(modus_ponens,[status(thm)],[24682, 24681])).
% 73.77/46.62 tff(24684,plain,
% 73.77/46.62 (v130(constB171, bitIndex1)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24683, 810, 24680])).
% 73.77/46.62 tff(24685,assumption,(v26(constB171)), introduced(assumption)).
% 73.77/46.62 tff(24686,plain,
% 73.77/46.62 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB171))),
% 73.77/46.62 inference(quant_inst,[status(thm)],[])).
% 73.77/46.62 tff(24687,plain,
% 73.77/46.62 ($false),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24686, 37, 24685])).
% 73.77/46.62 tff(24688,plain,(~v26(constB171)), inference(lemma,lemma(discharge,[]))).
% 73.77/46.62 tff(24689,plain,
% 73.77/46.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB171) | (~v130(constB171, bitIndex1)) | v127(constB171, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB171) | (~v130(constB171, bitIndex1)) | v127(constB171, bitIndex1))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24690,plain,
% 73.77/46.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB171) | (~v130(constB171, bitIndex1)) | v127(constB171, bitIndex1))),
% 73.77/46.62 inference(quant_inst,[status(thm)],[])).
% 73.77/46.62 tff(24691,plain,
% 73.77/46.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB171) | (~v130(constB171, bitIndex1)) | v127(constB171, bitIndex1)),
% 73.77/46.62 inference(modus_ponens,[status(thm)],[24690, 24689])).
% 73.77/46.62 tff(24692,plain,
% 73.77/46.62 ((~v130(constB171, bitIndex1)) | v127(constB171, bitIndex1)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24691, 824, 24688])).
% 73.77/46.62 tff(24693,plain,
% 73.77/46.62 (v127(constB171, bitIndex1)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24692, 24684])).
% 73.77/46.62 tff(24694,plain,
% 73.77/46.62 (nextState(constB171, constB172) <=> nextState(constB171, constB172)),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24695,axiom,(nextState(constB171, constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_171_1')).
% 73.77/46.62 tff(24696,plain,
% 73.77/46.62 (nextState(constB171, constB172)),
% 73.77/46.62 inference(modus_ponens,[status(thm)],[24695, 24694])).
% 73.77/46.62 tff(24697,plain,
% 73.77/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB171, constB172)) | (~v127(constB171, bitIndex1)) | v129(constB172, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB171, constB172)) | (~v127(constB171, bitIndex1)) | v129(constB172, bitIndex1))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24698,plain,
% 73.77/46.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB171, constB172)) | (~v127(constB171, bitIndex1)) | v129(constB172, bitIndex1))),
% 73.77/46.62 inference(quant_inst,[status(thm)],[])).
% 73.77/46.62 tff(24699,plain,
% 73.77/46.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB171, constB172)) | (~v127(constB171, bitIndex1)) | v129(constB172, bitIndex1)),
% 73.77/46.62 inference(modus_ponens,[status(thm)],[24698, 24697])).
% 73.77/46.62 tff(24700,plain,
% 73.77/46.62 ((~v127(constB171, bitIndex1)) | v129(constB172, bitIndex1)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24699, 839, 24696])).
% 73.77/46.62 tff(24701,plain,
% 73.77/46.62 (v129(constB172, bitIndex1)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24700, 24693])).
% 73.77/46.62 tff(24702,assumption,(v120(constB171)), introduced(assumption)).
% 73.77/46.62 tff(24703,plain,
% 73.77/46.62 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB171) | (~v120(constB171)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB171) | (~v120(constB171)))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24704,plain,
% 73.77/46.62 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB171) | (~v120(constB171)))),
% 73.77/46.62 inference(quant_inst,[status(thm)],[])).
% 73.77/46.62 tff(24705,plain,
% 73.77/46.62 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB171) | (~v120(constB171))),
% 73.77/46.62 inference(modus_ponens,[status(thm)],[24704, 24703])).
% 73.77/46.62 tff(24706,plain,
% 73.77/46.62 (v118(constB171)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24705, 646, 24702])).
% 73.77/46.62 tff(24707,plain,
% 73.77/46.62 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB171) | (~v118(constB171)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB171) | (~v118(constB171)))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24708,plain,
% 73.77/46.62 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB171) | (~v118(constB171)))),
% 73.77/46.62 inference(quant_inst,[status(thm)],[])).
% 73.77/46.62 tff(24709,plain,
% 73.77/46.62 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB171) | (~v118(constB171))),
% 73.77/46.62 inference(modus_ponens,[status(thm)],[24708, 24707])).
% 73.77/46.62 tff(24710,plain,
% 73.77/46.62 (v117(constB171)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24709, 243, 24706])).
% 73.77/46.62 tff(24711,plain,
% 73.77/46.62 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB171) | (~v117(constB171)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB171) | (~v117(constB171)))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24712,plain,
% 73.77/46.62 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB171) | (~v117(constB171)))),
% 73.77/46.62 inference(quant_inst,[status(thm)],[])).
% 73.77/46.62 tff(24713,plain,
% 73.77/46.62 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB171) | (~v117(constB171))),
% 73.77/46.62 inference(modus_ponens,[status(thm)],[24712, 24711])).
% 73.77/46.62 tff(24714,plain,
% 73.77/46.62 (v116(constB171)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24713, 254, 24710])).
% 73.77/46.62 tff(24715,plain,
% 73.77/46.62 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB171) | (~v116(constB171)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB171) | (~v116(constB171)))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24716,plain,
% 73.77/46.62 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB171) | (~v116(constB171)))),
% 73.77/46.62 inference(quant_inst,[status(thm)],[])).
% 73.77/46.62 tff(24717,plain,
% 73.77/46.62 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB171) | (~v116(constB171))),
% 73.77/46.62 inference(modus_ponens,[status(thm)],[24716, 24715])).
% 73.77/46.62 tff(24718,plain,
% 73.77/46.62 (v115(constB171)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24717, 265, 24714])).
% 73.77/46.62 tff(24719,plain,
% 73.77/46.62 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB171)) | (~v130(constB171, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB171)) | (~v130(constB171, bitIndex0)))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24720,plain,
% 73.77/46.62 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB171)) | (~v130(constB171, bitIndex0)))),
% 73.77/46.62 inference(quant_inst,[status(thm)],[])).
% 73.77/46.62 tff(24721,plain,
% 73.77/46.62 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB171)) | (~v130(constB171, bitIndex0))),
% 73.77/46.62 inference(modus_ponens,[status(thm)],[24720, 24719])).
% 73.77/46.62 tff(24722,plain,
% 73.77/46.62 (~v130(constB171, bitIndex0)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24721, 891, 24702])).
% 73.77/46.62 tff(24723,plain,
% 73.77/46.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24724,plain,
% 73.77/46.62 ((v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0))) <=> ((~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24725,plain,
% 73.77/46.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0)))),
% 73.77/46.62 inference(monotonicity,[status(thm)],[24724])).
% 73.77/46.62 tff(24726,plain,
% 73.77/46.62 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))),
% 73.77/46.62 inference(transitivity,[status(thm)],[24725, 24723])).
% 73.77/46.62 tff(24727,plain,
% 73.77/46.62 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0)))),
% 73.77/46.62 inference(quant_inst,[status(thm)],[])).
% 73.77/46.62 tff(24728,plain,
% 73.77/46.62 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0)),
% 73.77/46.62 inference(modus_ponens,[status(thm)],[24727, 24726])).
% 73.77/46.62 tff(24729,plain,
% 73.77/46.62 ((~v127(constB171, bitIndex0)) | v130(constB171, bitIndex0)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24728, 905, 24688])).
% 73.77/46.62 tff(24730,plain,
% 73.77/46.62 (~v127(constB171, bitIndex0)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24729, 24722])).
% 73.77/46.62 tff(24731,plain,
% 73.77/46.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0)))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24732,plain,
% 73.77/46.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0)))),
% 73.77/46.62 inference(quant_inst,[status(thm)],[])).
% 73.77/46.62 tff(24733,plain,
% 73.77/46.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0))),
% 73.77/46.62 inference(modus_ponens,[status(thm)],[24732, 24731])).
% 73.77/46.62 tff(24734,plain,
% 73.77/46.62 (v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0))),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24733, 923, 24696])).
% 73.77/46.62 tff(24735,plain,
% 73.77/46.62 (~v129(constB172, bitIndex0)),
% 73.77/46.62 inference(unit_resolution,[status(thm)],[24734, 24730])).
% 73.77/46.62 tff(24736,assumption,(v90(constB172, bitIndex0)), introduced(assumption)).
% 73.77/46.62 tff(24737,plain,
% 73.77/46.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24738,plain,
% 73.77/46.62 (((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0)) <=> ((~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))),
% 73.77/46.62 inference(rewrite,[status(thm)],[])).
% 73.77/46.62 tff(24739,plain,
% 73.77/46.62 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172))))),
% 73.77/46.63 inference(monotonicity,[status(thm)],[24738])).
% 73.77/46.63 tff(24740,plain,
% 73.77/46.63 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))),
% 73.77/46.63 inference(transitivity,[status(thm)],[24739, 24737])).
% 73.77/46.63 tff(24741,plain,
% 73.77/46.63 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0))),
% 73.77/46.63 inference(quant_inst,[status(thm)],[])).
% 73.77/46.63 tff(24742,plain,
% 73.77/46.63 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172))),
% 73.77/46.63 inference(modus_ponens,[status(thm)],[24741, 24740])).
% 73.77/46.63 tff(24743,plain,
% 73.77/46.63 (v129(constB172, bitIndex0) | (~v100(constB172))),
% 73.77/46.63 inference(unit_resolution,[status(thm)],[24742, 938, 24736])).
% 73.77/46.63 tff(24744,plain,
% 73.77/46.63 (~v100(constB172)),
% 73.77/46.63 inference(unit_resolution,[status(thm)],[24743, 24735])).
% 73.77/46.63 tff(24745,plain,
% 73.77/46.63 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))),
% 73.77/46.63 inference(rewrite,[status(thm)],[])).
% 73.77/46.63 tff(24746,plain,
% 73.77/46.63 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))),
% 73.77/46.63 inference(quant_inst,[status(thm)],[])).
% 73.77/46.63 tff(24747,plain,
% 73.77/46.63 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172))),
% 73.77/46.63 inference(modus_ponens,[status(thm)],[24746, 24745])).
% 73.77/46.63 tff(24748,plain,
% 73.77/46.63 (~v104(constB172)),
% 73.77/46.63 inference(unit_resolution,[status(thm)],[24747, 335, 24696, 24553])).
% 73.77/46.63 tff(24749,plain,
% 73.77/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))),
% 73.77/46.63 inference(rewrite,[status(thm)],[])).
% 73.77/46.63 tff(24750,plain,
% 73.77/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))),
% 73.77/46.63 inference(quant_inst,[status(thm)],[])).
% 73.77/46.63 tff(24751,plain,
% 73.77/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v102(constB172) | v104(constB172)),
% 73.77/46.63 inference(modus_ponens,[status(thm)],[24750, 24749])).
% 73.77/46.63 tff(24752,plain,
% 73.77/46.63 (v102(constB172) | v104(constB172)),
% 73.77/46.63 inference(unit_resolution,[status(thm)],[24751, 349, 24696])).
% 73.77/46.63 tff(24753,plain,
% 73.77/46.63 (v102(constB172)),
% 73.77/46.63 inference(unit_resolution,[status(thm)],[24752, 24748])).
% 73.77/46.63 tff(24754,plain,
% 73.77/46.63 (v1(constB172) <=> v1(constB172)),
% 73.77/46.63 inference(rewrite,[status(thm)],[])).
% 73.77/46.63 tff(24755,axiom,(v1(constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_172_1')).
% 73.77/46.63 tff(24756,plain,
% 73.77/46.63 (v1(constB172)),
% 73.77/46.63 inference(modus_ponens,[status(thm)],[24755, 24754])).
% 73.77/46.63 tff(24757,plain,
% 73.77/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))),
% 73.77/46.63 inference(rewrite,[status(thm)],[])).
% 73.77/46.63 tff(24758,plain,
% 73.77/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))),
% 73.77/46.63 inference(quant_inst,[status(thm)],[])).
% 73.77/46.63 tff(24759,plain,
% 73.77/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172))),
% 73.77/46.63 inference(modus_ponens,[status(thm)],[24758, 24757])).
% 73.77/46.63 tff(24760,plain,
% 73.77/46.63 (v101(constB172) | (~v102(constB172))),
% 73.77/46.63 inference(unit_resolution,[status(thm)],[24759, 367, 24696, 24756])).
% 73.77/46.63 tff(24761,plain,
% 73.77/46.63 (v101(constB172)),
% 73.77/46.63 inference(unit_resolution,[status(thm)],[24760, 24753])).
% 73.77/46.63 tff(24762,plain,
% 73.77/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 73.77/46.63 inference(rewrite,[status(thm)],[])).
% 73.77/46.63 tff(24763,plain,
% 73.77/46.63 (((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172)) <=> ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 73.77/46.63 inference(rewrite,[status(thm)],[])).
% 73.77/46.63 tff(24764,plain,
% 73.77/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172))))),
% 73.77/46.63 inference(monotonicity,[status(thm)],[24763])).
% 73.77/46.63 tff(24765,plain,
% 73.77/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 73.77/46.63 inference(transitivity,[status(thm)],[24764, 24762])).
% 73.77/46.63 tff(24766,plain,
% 73.77/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))),
% 73.77/46.63 inference(quant_inst,[status(thm)],[])).
% 73.77/46.63 tff(24767,plain,
% 73.77/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172))),
% 73.77/46.63 inference(modus_ponens,[status(thm)],[24766, 24765])).
% 73.77/46.63 tff(24768,plain,
% 73.77/46.63 (v100(constB172) | (~v101(constB172)) | (~v110(constB172))),
% 73.77/46.63 inference(unit_resolution,[status(thm)],[24767, 382, 24696])).
% 73.77/46.63 tff(24769,plain,
% 73.77/46.63 (v100(constB172) | (~v110(constB172))),
% 73.77/46.63 inference(unit_resolution,[status(thm)],[24768, 24761])).
% 73.77/46.63 tff(24770,plain,
% 73.77/46.63 (~v110(constB172)),
% 73.77/46.63 inference(unit_resolution,[status(thm)],[24769, 24744])).
% 73.77/46.63 tff(24771,plain,
% 73.77/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 73.77/46.63 inference(rewrite,[status(thm)],[])).
% 73.77/46.63 tff(24772,plain,
% 73.77/46.63 (((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172)) <=> ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 73.77/46.63 inference(rewrite,[status(thm)],[])).
% 73.77/46.63 tff(24773,plain,
% 73.77/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171))))),
% 73.77/46.63 inference(monotonicity,[status(thm)],[24772])).
% 73.77/46.63 tff(24774,plain,
% 73.77/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 73.77/46.63 inference(transitivity,[status(thm)],[24773, 24771])).
% 73.77/46.63 tff(24775,plain,
% 73.77/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))),
% 73.77/46.63 inference(quant_inst,[status(thm)],[])).
% 73.77/46.63 tff(24776,plain,
% 73.77/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171))),
% 73.77/46.63 inference(modus_ponens,[status(thm)],[24775, 24774])).
% 73.77/46.63 tff(24777,plain,
% 73.77/46.63 (v110(constB172) | (~v108(constB171))),
% 73.77/46.63 inference(unit_resolution,[status(thm)],[24776, 317, 24696])).
% 73.77/46.63 tff(24778,plain,
% 73.77/46.63 (~v108(constB171)),
% 73.77/46.63 inference(unit_resolution,[status(thm)],[24777, 24770])).
% 73.77/46.63 tff(24779,plain,
% 73.77/46.63 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB171) | (~v112(constB171)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB171) | (~v112(constB171)))),
% 73.77/46.63 inference(rewrite,[status(thm)],[])).
% 73.77/46.63 tff(24780,plain,
% 73.77/46.63 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB171) | (~v112(constB171)))),
% 73.77/46.63 inference(quant_inst,[status(thm)],[])).
% 73.77/46.63 tff(24781,plain,
% 73.77/46.63 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB171) | (~v112(constB171))),
% 73.77/46.63 inference(modus_ponens,[status(thm)],[24780, 24779])).
% 73.77/46.63 tff(24782,plain,
% 73.77/46.63 (~v112(constB171)),
% 73.77/46.63 inference(unit_resolution,[status(thm)],[24781, 210, 24778])).
% 73.77/46.63 tff(24783,plain,
% 73.77/46.63 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | v112(constB171) | (~v113(constB171)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | v112(constB171) | (~v113(constB171)))),
% 73.77/46.63 inference(rewrite,[status(thm)],[])).
% 73.77/46.63 tff(24784,plain,
% 73.77/46.63 ((v26(constB171) | (~v113(constB171)) | v112(constB171)) <=> (v26(constB171) | v112(constB171) | (~v113(constB171)))),
% 73.77/46.63 inference(rewrite,[status(thm)],[])).
% 73.77/46.63 tff(24785,plain,
% 73.77/46.63 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | v112(constB171) | (~v113(constB171))))),
% 73.77/46.63 inference(monotonicity,[status(thm)],[24784])).
% 73.77/46.63 tff(24786,plain,
% 73.77/46.63 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | v112(constB171) | (~v113(constB171)))),
% 73.77/46.63 inference(transitivity,[status(thm)],[24785, 24783])).
% 73.77/46.63 tff(24787,plain,
% 73.77/46.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))),
% 73.77/46.63 inference(quant_inst,[status(thm)],[])).
% 73.77/46.63 tff(24788,plain,
% 73.77/46.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | v112(constB171) | (~v113(constB171))),
% 73.77/46.63 inference(modus_ponens,[status(thm)],[24787, 24786])).
% 73.77/46.63 tff(24789,plain,
% 73.77/46.63 (v112(constB171) | (~v113(constB171))),
% 73.77/46.63 inference(unit_resolution,[status(thm)],[24788, 301, 24688])).
% 73.77/46.63 tff(24790,plain,
% 73.77/46.63 (~v113(constB171)),
% 73.77/46.63 inference(unit_resolution,[status(thm)],[24789, 24782])).
% 73.77/46.63 tff(24791,plain,
% 73.77/46.63 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB171) | (~v114(constB171)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB171) | (~v114(constB171)))),
% 73.77/46.63 inference(rewrite,[status(thm)],[])).
% 73.77/46.63 tff(24792,plain,
% 73.77/46.63 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB171) | (~v114(constB171)))),
% 73.77/46.63 inference(quant_inst,[status(thm)],[])).
% 73.77/46.63 tff(24793,plain,
% 73.77/46.63 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB171) | (~v114(constB171))),
% 73.77/46.63 inference(modus_ponens,[status(thm)],[24792, 24791])).
% 73.77/46.63 tff(24794,plain,
% 73.77/46.63 (~v114(constB171)),
% 73.77/46.63 inference(unit_resolution,[status(thm)],[24793, 287, 24790])).
% 73.77/46.63 tff(24795,plain,
% 73.77/46.63 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB171) | (~v115(constB171)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB171) | (~v115(constB171)))),
% 73.77/46.63 inference(rewrite,[status(thm)],[])).
% 73.77/46.63 tff(24796,plain,
% 73.77/46.63 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB171) | (~v115(constB171)))),
% 73.77/46.63 inference(quant_inst,[status(thm)],[])).
% 73.77/46.63 tff(24797,plain,
% 73.77/46.63 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB171) | (~v115(constB171))),
% 73.77/46.63 inference(modus_ponens,[status(thm)],[24796, 24795])).
% 73.77/46.63 tff(24798,plain,
% 73.77/46.63 ($false),
% 73.77/46.63 inference(unit_resolution,[status(thm)],[24797, 276, 24794, 24718])).
% 73.77/46.63 tff(24799,plain,((~v120(constB171)) | (~v90(constB172, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 73.77/46.63 tff(24800,plain,
% 73.77/46.63 (~v90(constB172, bitIndex0)),
% 73.77/46.63 inference(unit_resolution,[status(thm)],[24799, 24680])).
% 73.77/46.63 tff(24801,plain,
% 73.77/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB171, bitIndex0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB171, bitIndex0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex0))),
% 73.77/46.63 inference(rewrite,[status(thm)],[])).
% 73.77/46.63 tff(24802,plain,
% 73.77/46.63 (((~nextState(constB171, constB172)) | (~v90(constB171, bitIndex0)) | v100(constB172) | v90(constB172, bitIndex0)) <=> ((~v90(constB171, bitIndex0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex0))),
% 73.77/46.63 inference(rewrite,[status(thm)],[])).
% 73.77/46.63 tff(24803,plain,
% 73.77/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB171, constB172)) | (~v90(constB171, bitIndex0)) | v100(constB172) | v90(constB172, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB171, bitIndex0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex0)))),
% 73.77/46.63 inference(monotonicity,[status(thm)],[24802])).
% 73.77/46.63 tff(24804,plain,
% 73.77/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB171, constB172)) | (~v90(constB171, bitIndex0)) | v100(constB172) | v90(constB172, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB171, bitIndex0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex0))),
% 73.77/46.63 inference(transitivity,[status(thm)],[24803, 24801])).
% 73.77/46.63 tff(24805,plain,
% 73.77/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB171, constB172)) | (~v90(constB171, bitIndex0)) | v100(constB172) | v90(constB172, bitIndex0))),
% 73.77/46.63 inference(quant_inst,[status(thm)],[])).
% 73.77/46.63 tff(24806,plain,
% 73.77/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB171, bitIndex0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, bitIndex0)),
% 73.77/46.63 inference(modus_ponens,[status(thm)],[24805, 24804])).
% 73.77/46.63 tff(24807,plain,
% 73.77/46.63 ((~v90(constB171, bitIndex0)) | v100(constB172) | v90(constB172, bitIndex0)),
% 73.77/46.63 inference(unit_resolution,[status(thm)],[24806, 437, 24696])).
% 73.77/46.63 tff(24808,plain,
% 73.77/46.63 (v100(constB172)),
% 73.77/46.63 inference(unit_resolution,[status(thm)],[24807, 24800, 24673])).
% 73.77/46.63 tff(24809,plain,
% 73.77/46.63 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1)) | (~v100(constB172)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1)) | (~v100(constB172)))),
% 73.77/46.63 inference(rewrite,[status(thm)],[])).
% 73.77/46.63 tff(24810,plain,
% 73.77/46.63 ((v90(constB172, bitIndex1) | (~v100(constB172)) | (~v129(constB172, bitIndex1))) <=> (v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1)) | (~v100(constB172)))),
% 73.77/46.63 inference(rewrite,[status(thm)],[])).
% 73.77/46.63 tff(24811,plain,
% 73.77/46.63 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~v100(constB172)) | (~v129(constB172, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1)) | (~v100(constB172))))),
% 73.77/46.63 inference(monotonicity,[status(thm)],[24810])).
% 73.77/46.63 tff(24812,plain,
% 73.77/46.63 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~v100(constB172)) | (~v129(constB172, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1)) | (~v100(constB172)))),
% 73.77/46.63 inference(transitivity,[status(thm)],[24811, 24809])).
% 73.77/46.63 tff(24813,plain,
% 73.77/46.63 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB172, bitIndex1) | (~v100(constB172)) | (~v129(constB172, bitIndex1)))),
% 73.77/46.63 inference(quant_inst,[status(thm)],[])).
% 73.77/46.63 tff(24814,plain,
% 73.77/46.63 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1)) | (~v100(constB172))),
% 73.77/46.63 inference(modus_ponens,[status(thm)],[24813, 24812])).
% 73.77/46.63 tff(24815,plain,
% 73.77/46.63 (v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1))),
% 73.77/46.63 inference(unit_resolution,[status(thm)],[24814, 854, 24808])).
% 73.77/46.63 tff(24816,plain,
% 73.77/46.63 (v90(constB172, bitIndex1)),
% 73.77/46.63 inference(unit_resolution,[status(thm)],[24815, 24701])).
% 73.77/46.63 tff(24817,plain,
% 73.77/46.63 ((~v1(constB173)) <=> (~v1(constB173))),
% 73.77/46.63 inference(rewrite,[status(thm)],[])).
% 73.77/46.63 tff(24818,axiom,(~v1(constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_173_1_1')).
% 73.77/46.63 tff(24819,plain,
% 73.77/46.63 (~v1(constB173)),
% 73.77/46.63 inference(modus_ponens,[status(thm)],[24818, 24817])).
% 73.77/46.63 tff(24820,plain,
% 73.77/46.63 (nextState(constB172, constB173) <=> nextState(constB172, constB173)),
% 73.77/46.63 inference(rewrite,[status(thm)],[])).
% 73.77/46.63 tff(24821,axiom,(nextState(constB172, constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_172_1')).
% 73.77/46.63 tff(24822,plain,
% 73.80/46.63 (nextState(constB172, constB173)),
% 73.80/46.63 inference(modus_ponens,[status(thm)],[24821, 24820])).
% 73.80/46.63 tff(24823,plain,
% 73.80/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 73.80/46.63 inference(rewrite,[status(thm)],[])).
% 73.80/46.63 tff(24824,plain,
% 73.80/46.63 (((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173)) <=> (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 73.80/46.63 inference(rewrite,[status(thm)],[])).
% 73.80/46.63 tff(24825,plain,
% 73.80/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173))))),
% 73.80/46.63 inference(monotonicity,[status(thm)],[24824])).
% 73.80/46.63 tff(24826,plain,
% 73.80/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 73.80/46.63 inference(transitivity,[status(thm)],[24825, 24823])).
% 73.80/46.63 tff(24827,plain,
% 73.80/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))),
% 73.80/46.63 inference(quant_inst,[status(thm)],[])).
% 73.80/46.63 tff(24828,plain,
% 73.80/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173))),
% 73.80/46.63 inference(modus_ponens,[status(thm)],[24827, 24826])).
% 73.80/46.63 tff(24829,plain,
% 73.80/46.63 (~v101(constB173)),
% 73.80/46.63 inference(unit_resolution,[status(thm)],[24828, 56, 24822, 24819])).
% 73.80/46.63 tff(24830,plain,
% 73.80/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))),
% 73.80/46.63 inference(rewrite,[status(thm)],[])).
% 73.80/46.63 tff(24831,plain,
% 73.80/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))),
% 73.80/46.63 inference(quant_inst,[status(thm)],[])).
% 73.80/46.63 tff(24832,plain,
% 73.80/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173))),
% 73.80/46.63 inference(modus_ponens,[status(thm)],[24831, 24830])).
% 73.80/46.63 tff(24833,plain,
% 73.80/46.63 (v101(constB173) | (~v100(constB173))),
% 73.80/46.63 inference(unit_resolution,[status(thm)],[24832, 73, 24822])).
% 73.80/46.63 tff(24834,plain,
% 73.80/46.63 (~v100(constB173)),
% 73.80/46.63 inference(unit_resolution,[status(thm)],[24833, 24829])).
% 73.80/46.63 tff(24835,plain,
% 73.80/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex1))),
% 73.80/46.63 inference(rewrite,[status(thm)],[])).
% 73.80/46.63 tff(24836,plain,
% 73.80/46.63 (((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex1)) | v100(constB173) | v90(constB173, bitIndex1)) <=> ((~v90(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex1))),
% 73.80/46.63 inference(rewrite,[status(thm)],[])).
% 73.80/46.63 tff(24837,plain,
% 73.80/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex1)) | v100(constB173) | v90(constB173, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex1)))),
% 73.80/46.63 inference(monotonicity,[status(thm)],[24836])).
% 73.80/46.63 tff(24838,plain,
% 73.80/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex1)) | v100(constB173) | v90(constB173, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex1))),
% 73.80/46.63 inference(transitivity,[status(thm)],[24837, 24835])).
% 73.80/46.63 tff(24839,plain,
% 73.80/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex1)) | v100(constB173) | v90(constB173, bitIndex1))),
% 73.80/46.63 inference(quant_inst,[status(thm)],[])).
% 73.80/46.63 tff(24840,plain,
% 73.80/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex1)),
% 73.80/46.63 inference(modus_ponens,[status(thm)],[24839, 24838])).
% 73.80/46.63 tff(24841,plain,
% 73.80/46.63 ((~v90(constB172, bitIndex1)) | v100(constB173) | v90(constB173, bitIndex1)),
% 73.80/46.63 inference(unit_resolution,[status(thm)],[24840, 872, 24822])).
% 73.80/46.63 tff(24842,plain,
% 73.80/46.63 ((~v90(constB172, bitIndex1)) | v90(constB173, bitIndex1)),
% 73.80/46.63 inference(unit_resolution,[status(thm)],[24841, 24834])).
% 73.80/46.63 tff(24843,plain,
% 73.80/46.63 (v90(constB173, bitIndex1)),
% 73.80/46.63 inference(unit_resolution,[status(thm)],[24842, 24816])).
% 73.80/46.63 tff(24844,plain,
% 73.80/46.63 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB171)) | (~v130(constB171, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB171)) | (~v130(constB171, bitIndex2)))),
% 73.80/46.63 inference(rewrite,[status(thm)],[])).
% 73.80/46.63 tff(24845,plain,
% 73.80/46.63 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB171)) | (~v130(constB171, bitIndex2)))),
% 73.80/46.63 inference(quant_inst,[status(thm)],[])).
% 73.80/46.63 tff(24846,plain,
% 73.80/46.63 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB171)) | (~v130(constB171, bitIndex2))),
% 73.80/46.63 inference(modus_ponens,[status(thm)],[24845, 24844])).
% 73.80/46.63 tff(24847,plain,
% 73.80/46.63 (~v130(constB171, bitIndex2)),
% 73.80/46.63 inference(unit_resolution,[status(thm)],[24846, 730, 24680])).
% 73.80/46.63 tff(24848,plain,
% 73.80/46.63 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2))),
% 73.80/46.63 inference(rewrite,[status(thm)],[])).
% 73.80/46.63 tff(24849,plain,
% 73.80/46.63 ((v26(constB171) | v130(constB171, bitIndex2) | (~v127(constB171, bitIndex2))) <=> ((~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2))),
% 73.80/46.63 inference(rewrite,[status(thm)],[])).
% 73.80/46.63 tff(24850,plain,
% 73.80/46.63 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB171) | v130(constB171, bitIndex2) | (~v127(constB171, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2)))),
% 73.80/46.63 inference(monotonicity,[status(thm)],[24849])).
% 73.80/46.63 tff(24851,plain,
% 73.80/46.63 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB171) | v130(constB171, bitIndex2) | (~v127(constB171, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2))),
% 73.80/46.63 inference(transitivity,[status(thm)],[24850, 24848])).
% 73.80/46.63 tff(24852,plain,
% 73.80/46.63 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB171) | v130(constB171, bitIndex2) | (~v127(constB171, bitIndex2)))),
% 73.80/46.63 inference(quant_inst,[status(thm)],[])).
% 73.80/46.63 tff(24853,plain,
% 73.80/46.63 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB171, bitIndex2)) | v26(constB171) | v130(constB171, bitIndex2)),
% 73.80/46.63 inference(modus_ponens,[status(thm)],[24852, 24851])).
% 73.80/46.63 tff(24854,plain,
% 73.80/46.63 ((~v127(constB171, bitIndex2)) | v130(constB171, bitIndex2)),
% 73.80/46.63 inference(unit_resolution,[status(thm)],[24853, 470, 24688])).
% 73.80/46.63 tff(24855,plain,
% 73.80/46.63 (~v127(constB171, bitIndex2)),
% 73.80/46.63 inference(unit_resolution,[status(thm)],[24854, 24847])).
% 73.80/46.63 tff(24856,plain,
% 73.80/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex2) | (~v129(constB172, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex2) | (~v129(constB172, bitIndex2)))),
% 73.80/46.63 inference(rewrite,[status(thm)],[])).
% 73.80/46.63 tff(24857,plain,
% 73.80/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex2) | (~v129(constB172, bitIndex2)))),
% 73.80/46.63 inference(quant_inst,[status(thm)],[])).
% 73.80/46.63 tff(24858,plain,
% 73.80/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex2) | (~v129(constB172, bitIndex2))),
% 73.80/46.63 inference(modus_ponens,[status(thm)],[24857, 24856])).
% 73.80/46.63 tff(24859,plain,
% 73.80/46.63 (v127(constB171, bitIndex2) | (~v129(constB172, bitIndex2))),
% 73.80/46.63 inference(unit_resolution,[status(thm)],[24858, 488, 24696])).
% 73.80/46.63 tff(24860,plain,
% 73.80/46.63 (~v129(constB172, bitIndex2)),
% 73.80/46.63 inference(unit_resolution,[status(thm)],[24859, 24855])).
% 73.80/46.63 tff(24861,plain,
% 73.80/46.63 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2) | (~v100(constB172)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2) | (~v100(constB172)))),
% 73.80/46.63 inference(rewrite,[status(thm)],[])).
% 73.80/46.63 tff(24862,plain,
% 73.80/46.63 (((~v90(constB172, bitIndex2)) | (~v100(constB172)) | v129(constB172, bitIndex2)) <=> ((~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2) | (~v100(constB172)))),
% 73.80/46.63 inference(rewrite,[status(thm)],[])).
% 73.80/46.63 tff(24863,plain,
% 73.80/46.63 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB172, bitIndex2)) | (~v100(constB172)) | v129(constB172, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2) | (~v100(constB172))))),
% 73.80/46.63 inference(monotonicity,[status(thm)],[24862])).
% 73.80/46.63 tff(24864,plain,
% 73.80/46.63 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB172, bitIndex2)) | (~v100(constB172)) | v129(constB172, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2) | (~v100(constB172)))),
% 73.80/46.63 inference(transitivity,[status(thm)],[24863, 24861])).
% 73.80/46.63 tff(24865,plain,
% 73.80/46.63 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB172, bitIndex2)) | (~v100(constB172)) | v129(constB172, bitIndex2))),
% 73.80/46.63 inference(quant_inst,[status(thm)],[])).
% 73.80/46.63 tff(24866,plain,
% 73.80/46.63 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2) | (~v100(constB172))),
% 73.80/46.63 inference(modus_ponens,[status(thm)],[24865, 24864])).
% 73.80/46.63 tff(24867,plain,
% 73.80/46.63 ((~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2)),
% 73.80/46.63 inference(unit_resolution,[status(thm)],[24866, 503, 24808])).
% 73.80/46.63 tff(24868,plain,
% 73.80/46.63 (~v90(constB172, bitIndex2)),
% 73.80/46.63 inference(unit_resolution,[status(thm)],[24867, 24860])).
% 73.80/46.63 tff(24869,plain,
% 73.80/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex2)))),
% 73.80/46.63 inference(rewrite,[status(thm)],[])).
% 73.80/46.63 tff(24870,plain,
% 73.80/46.63 (((~nextState(constB172, constB173)) | v90(constB172, bitIndex2) | v100(constB173) | (~v90(constB173, bitIndex2))) <=> (v90(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex2)))),
% 73.80/46.63 inference(rewrite,[status(thm)],[])).
% 73.80/46.63 tff(24871,plain,
% 73.80/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex2) | v100(constB173) | (~v90(constB173, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex2))))),
% 73.80/46.63 inference(monotonicity,[status(thm)],[24870])).
% 73.80/46.63 tff(24872,plain,
% 73.80/46.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex2) | v100(constB173) | (~v90(constB173, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex2)))),
% 73.80/46.63 inference(transitivity,[status(thm)],[24871, 24869])).
% 73.80/46.63 tff(24873,plain,
% 73.80/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex2) | v100(constB173) | (~v90(constB173, bitIndex2)))),
% 73.80/46.63 inference(quant_inst,[status(thm)],[])).
% 73.80/46.63 tff(24874,plain,
% 73.80/46.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex2))),
% 73.80/46.63 inference(modus_ponens,[status(thm)],[24873, 24872])).
% 73.80/46.63 tff(24875,plain,
% 73.80/46.63 (v90(constB172, bitIndex2) | v100(constB173) | (~v90(constB173, bitIndex2))),
% 73.80/46.63 inference(unit_resolution,[status(thm)],[24874, 88, 24822])).
% 73.80/46.63 tff(24876,plain,
% 73.80/46.63 (v90(constB172, bitIndex2) | (~v90(constB173, bitIndex2))),
% 73.80/46.63 inference(unit_resolution,[status(thm)],[24875, 24834])).
% 73.80/46.63 tff(24877,plain,
% 73.80/46.63 (~v90(constB173, bitIndex2)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24876, 24868])).
% 73.80/46.64 tff(24878,assumption,(~v121(constB173)), introduced(assumption)).
% 73.80/46.64 tff(24879,plain,
% 73.80/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(24880,plain,
% 73.80/46.64 (((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0))) <=> (v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(24881,plain,
% 73.80/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0))))),
% 73.80/46.64 inference(monotonicity,[status(thm)],[24880])).
% 73.80/46.64 tff(24882,plain,
% 73.80/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 73.80/46.64 inference(transitivity,[status(thm)],[24881, 24879])).
% 73.80/46.64 tff(24883,plain,
% 73.80/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(24884,plain,
% 73.80/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0))),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[24883, 24882])).
% 73.80/46.64 tff(24885,plain,
% 73.80/46.64 (v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0))),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24884, 130, 24822])).
% 73.80/46.64 tff(24886,plain,
% 73.80/46.64 (v90(constB172, bitIndex0) | (~v90(constB173, bitIndex0))),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24885, 24834])).
% 73.80/46.64 tff(24887,plain,
% 73.80/46.64 (~v90(constB173, bitIndex0)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24886, 24800])).
% 73.80/46.64 tff(24888,plain,
% 73.80/46.64 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex2) | v121(constB173))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex2) | v121(constB173))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(24889,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex2) | v121(constB173))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(24890,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)) | v90(constB173, bitIndex2) | v121(constB173)),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[24889, 24888])).
% 73.80/46.64 tff(24891,plain,
% 73.80/46.64 ((~v90(constB173, bitIndex1)) | v90(constB173, bitIndex2)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24890, 965, 24887, 24878])).
% 73.80/46.64 tff(24892,plain,
% 73.80/46.64 ($false),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24891, 24877, 24843])).
% 73.80/46.64 tff(24893,plain,(v26(constB167) | v121(constB173)), inference(lemma,lemma(discharge,[]))).
% 73.80/46.64 tff(24894,plain,
% 73.80/46.64 (v121(constB173)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24893, 21208])).
% 73.80/46.64 tff(24895,assumption,(v121(constB173)), introduced(assumption)).
% 73.80/46.64 tff(24896,plain,
% 73.80/46.64 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB173)) | v130(constB173, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB173)) | v130(constB173, bitIndex0))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(24897,plain,
% 73.80/46.64 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB173)) | v130(constB173, bitIndex0))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(24898,plain,
% 73.80/46.64 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB173)) | v130(constB173, bitIndex0)),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[24897, 24896])).
% 73.80/46.64 tff(24899,plain,
% 73.80/46.64 (v130(constB173, bitIndex0)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24898, 1162, 24895])).
% 73.80/46.64 tff(24900,assumption,(v26(constB173)), introduced(assumption)).
% 73.80/46.64 tff(24901,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB173))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(24902,plain,
% 73.80/46.64 ($false),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24901, 37, 24900])).
% 73.80/46.64 tff(24903,plain,(~v26(constB173)), inference(lemma,lemma(discharge,[]))).
% 73.80/46.64 tff(24904,plain,
% 73.80/46.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB173) | (~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB173) | (~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(24905,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB173) | (~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(24906,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB173) | (~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0)),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[24905, 24904])).
% 73.80/46.64 tff(24907,plain,
% 73.80/46.64 ((~v130(constB173, bitIndex0)) | v127(constB173, bitIndex0)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24906, 179, 24903])).
% 73.80/46.64 tff(24908,plain,
% 73.80/46.64 (v127(constB173, bitIndex0)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24907, 24899])).
% 73.80/46.64 tff(24909,plain,
% 73.80/46.64 (nextState(constB173, constB174) <=> nextState(constB173, constB174)),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(24910,axiom,(nextState(constB173, constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_173_1')).
% 73.80/46.64 tff(24911,plain,
% 73.80/46.64 (nextState(constB173, constB174)),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[24910, 24909])).
% 73.80/46.64 tff(24912,plain,
% 73.80/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(24913,plain,
% 73.80/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(24914,plain,
% 73.80/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0)),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[24913, 24912])).
% 73.80/46.64 tff(24915,plain,
% 73.80/46.64 ((~v127(constB173, bitIndex0)) | v129(constB174, bitIndex0)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24914, 197, 24911])).
% 73.80/46.64 tff(24916,plain,
% 73.80/46.64 (v129(constB174, bitIndex0)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24915, 24908])).
% 73.80/46.64 tff(24917,assumption,(~v90(constB174, bitIndex0)), introduced(assumption)).
% 73.80/46.64 tff(24918,plain,
% 73.80/46.64 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174)))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(24919,plain,
% 73.80/46.64 ((v90(constB174, bitIndex0) | (~v100(constB174)) | (~v129(constB174, bitIndex0))) <=> (v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174)))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(24920,plain,
% 73.80/46.64 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~v100(constB174)) | (~v129(constB174, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174))))),
% 73.80/46.64 inference(monotonicity,[status(thm)],[24919])).
% 73.80/46.64 tff(24921,plain,
% 73.80/46.64 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~v100(constB174)) | (~v129(constB174, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174)))),
% 73.80/46.64 inference(transitivity,[status(thm)],[24920, 24918])).
% 73.80/46.64 tff(24922,plain,
% 73.80/46.64 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB174, bitIndex0) | (~v100(constB174)) | (~v129(constB174, bitIndex0)))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(24923,plain,
% 73.80/46.64 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0)) | (~v100(constB174))),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[24922, 24921])).
% 73.80/46.64 tff(24924,plain,
% 73.80/46.64 ((~v129(constB174, bitIndex0)) | (~v100(constB174))),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24923, 401, 24917])).
% 73.80/46.64 tff(24925,plain,
% 73.80/46.64 (~v100(constB174)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24924, 24916])).
% 73.80/46.64 tff(24926,plain,
% 73.80/46.64 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(24927,plain,
% 73.80/46.64 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(24928,plain,
% 73.80/46.64 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174))),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[24927, 24926])).
% 73.80/46.64 tff(24929,plain,
% 73.80/46.64 (~v104(constB174)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24928, 335, 24911, 24819])).
% 73.80/46.64 tff(24930,plain,
% 73.80/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(24931,plain,
% 73.80/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(24932,plain,
% 73.80/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v102(constB174) | v104(constB174)),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[24931, 24930])).
% 73.80/46.64 tff(24933,plain,
% 73.80/46.64 (v102(constB174) | v104(constB174)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24932, 349, 24911])).
% 73.80/46.64 tff(24934,plain,
% 73.80/46.64 (v102(constB174)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24933, 24929])).
% 73.80/46.64 tff(24935,plain,
% 73.80/46.64 (v1(constB174) <=> v1(constB174)),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(24936,axiom,(v1(constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_174_1')).
% 73.80/46.64 tff(24937,plain,
% 73.80/46.64 (v1(constB174)),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[24936, 24935])).
% 73.80/46.64 tff(24938,plain,
% 73.80/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(24939,plain,
% 73.80/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(24940,plain,
% 73.80/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174))),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[24939, 24938])).
% 73.80/46.64 tff(24941,plain,
% 73.80/46.64 (v101(constB174) | (~v102(constB174))),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24940, 367, 24911, 24937])).
% 73.80/46.64 tff(24942,plain,
% 73.80/46.64 (v101(constB174)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24941, 24934])).
% 73.80/46.64 tff(24943,plain,
% 73.80/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(24944,plain,
% 73.80/46.64 (((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174)) <=> ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(24945,plain,
% 73.80/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174))))),
% 73.80/46.64 inference(monotonicity,[status(thm)],[24944])).
% 73.80/46.64 tff(24946,plain,
% 73.80/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 73.80/46.64 inference(transitivity,[status(thm)],[24945, 24943])).
% 73.80/46.64 tff(24947,plain,
% 73.80/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(24948,plain,
% 73.80/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174))),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[24947, 24946])).
% 73.80/46.64 tff(24949,plain,
% 73.80/46.64 (v100(constB174) | (~v101(constB174)) | (~v110(constB174))),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24948, 382, 24911])).
% 73.80/46.64 tff(24950,plain,
% 73.80/46.64 (v100(constB174) | (~v110(constB174))),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24949, 24942])).
% 73.80/46.64 tff(24951,plain,
% 73.80/46.64 (~v110(constB174)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24950, 24925])).
% 73.80/46.64 tff(24952,plain,
% 73.80/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(24953,plain,
% 73.80/46.64 (((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174)) <=> ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(24954,plain,
% 73.80/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173))))),
% 73.80/46.64 inference(monotonicity,[status(thm)],[24953])).
% 73.80/46.64 tff(24955,plain,
% 73.80/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 73.80/46.64 inference(transitivity,[status(thm)],[24954, 24952])).
% 73.80/46.64 tff(24956,plain,
% 73.80/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(24957,plain,
% 73.80/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173))),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[24956, 24955])).
% 73.80/46.64 tff(24958,plain,
% 73.80/46.64 (v110(constB174) | (~v108(constB173))),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24957, 317, 24911])).
% 73.80/46.64 tff(24959,plain,
% 73.80/46.64 (~v108(constB173)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24958, 24951])).
% 73.80/46.64 tff(24960,plain,
% 73.80/46.64 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB173) | (~v112(constB173)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB173) | (~v112(constB173)))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(24961,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB173) | (~v112(constB173)))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(24962,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB173) | (~v112(constB173))),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[24961, 24960])).
% 73.80/46.64 tff(24963,plain,
% 73.80/46.64 (~v112(constB173)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24962, 210, 24959])).
% 73.80/46.64 tff(24964,plain,
% 73.80/46.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | (~v113(constB173)) | v112(constB173))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(24965,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(24966,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | (~v113(constB173)) | v112(constB173)),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[24965, 24964])).
% 73.80/46.64 tff(24967,plain,
% 73.80/46.64 ((~v113(constB173)) | v112(constB173)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24966, 301, 24903])).
% 73.80/46.64 tff(24968,plain,
% 73.80/46.64 (~v113(constB173)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24967, 24963])).
% 73.80/46.64 tff(24969,plain,
% 73.80/46.64 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB173) | (~v114(constB173)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB173) | (~v114(constB173)))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(24970,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB173) | (~v114(constB173)))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(24971,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB173) | (~v114(constB173))),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[24970, 24969])).
% 73.80/46.64 tff(24972,plain,
% 73.80/46.64 (~v114(constB173)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24971, 287, 24968])).
% 73.80/46.64 tff(24973,plain,
% 73.80/46.64 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB173) | (~v121(constB173)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB173) | (~v121(constB173)))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(24974,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB173) | (~v121(constB173)))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(24975,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB173) | (~v121(constB173))),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[24974, 24973])).
% 73.80/46.64 tff(24976,plain,
% 73.80/46.64 (v117(constB173)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24975, 976, 24895])).
% 73.80/46.64 tff(24977,plain,
% 73.80/46.64 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB173) | (~v117(constB173)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB173) | (~v117(constB173)))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(24978,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB173) | (~v117(constB173)))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(24979,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB173) | (~v117(constB173))),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[24978, 24977])).
% 73.80/46.64 tff(24980,plain,
% 73.80/46.64 (v116(constB173)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24979, 254, 24976])).
% 73.80/46.64 tff(24981,plain,
% 73.80/46.64 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB173) | (~v116(constB173)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB173) | (~v116(constB173)))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(24982,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB173) | (~v116(constB173)))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(24983,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB173) | (~v116(constB173))),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[24982, 24981])).
% 73.80/46.64 tff(24984,plain,
% 73.80/46.64 (v115(constB173)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24983, 265, 24980])).
% 73.80/46.64 tff(24985,plain,
% 73.80/46.64 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB173) | (~v115(constB173)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB173) | (~v115(constB173)))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(24986,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB173) | (~v115(constB173)))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(24987,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB173) | (~v115(constB173))),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[24986, 24985])).
% 73.80/46.64 tff(24988,plain,
% 73.80/46.64 ($false),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24987, 276, 24984, 24972])).
% 73.80/46.64 tff(24989,plain,((~v121(constB173)) | v90(constB174, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.80/46.64 tff(24990,plain,
% 73.80/46.64 (v90(constB174, bitIndex0)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24989, 24894])).
% 73.80/46.64 tff(24991,plain,
% 73.80/46.64 (~v130(constB169, bitIndex1)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24607, 24509, 24505, 24465])).
% 73.80/46.64 tff(24992,plain,
% 73.80/46.64 (~v127(constB169, bitIndex1)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24615, 24991])).
% 73.80/46.64 tff(24993,plain,
% 73.80/46.64 (~v129(constB170, bitIndex1)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24620, 24992])).
% 73.80/46.64 tff(24994,plain,
% 73.80/46.64 ((~v90(constB170, bitIndex1)) | (~v100(constB170))),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24627, 603, 24993])).
% 73.80/46.64 tff(24995,plain,
% 73.80/46.64 (~v90(constB170, bitIndex1)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24994, 24461])).
% 73.80/46.64 tff(24996,plain,
% 73.80/46.64 (~v90(constB171, bitIndex1)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24637, 24995])).
% 73.80/46.64 tff(24997,assumption,(v90(constB174, bitIndex0)), introduced(assumption)).
% 73.80/46.64 tff(24998,assumption,(~v90(constB171, bitIndex1)), introduced(assumption)).
% 73.80/46.64 tff(24999,assumption,(~v90(constB171, bitIndex2)), introduced(assumption)).
% 73.80/46.64 tff(25000,plain,
% 73.80/46.64 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB171, bitIndex1) | (~v121(constB171)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB171, bitIndex1) | (~v121(constB171)))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(25001,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB171, bitIndex1) | (~v121(constB171)))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(25002,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB171, bitIndex1) | (~v121(constB171))),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[25001, 25000])).
% 73.80/46.64 tff(25003,plain,
% 73.80/46.64 (~v121(constB171)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[25002, 3190, 24998])).
% 73.80/46.64 tff(25004,assumption,(~v90(constB171, bitIndex0)), introduced(assumption)).
% 73.80/46.64 tff(25005,plain,
% 73.80/46.64 (~v90(constB170, bitIndex0)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24672, 25004])).
% 73.80/46.64 tff(25006,assumption,(~v100(constB170)), introduced(assumption)).
% 73.80/46.64 tff(25007,plain,
% 73.80/46.64 (~v110(constB170)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24460, 25006])).
% 73.80/46.64 tff(25008,plain,
% 73.80/46.64 (~v108(constB169)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24434, 25007])).
% 73.80/46.64 tff(25009,plain,
% 73.80/46.64 (~v112(constB169)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24423, 210, 25008])).
% 73.80/46.64 tff(25010,plain,
% 73.80/46.64 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB169) | (~v26(constB169)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB169) | (~v26(constB169)))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(25011,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB169) | (~v26(constB169)))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(25012,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB169) | (~v26(constB169))),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[25011, 25010])).
% 73.80/46.64 tff(25013,plain,
% 73.80/46.64 (~v26(constB169)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[25012, 221, 25008])).
% 73.80/46.64 tff(25014,plain,
% 73.80/46.64 (~v113(constB169)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[24418, 301, 25013, 25009])).
% 73.80/46.64 tff(25015,plain,
% 73.80/46.64 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB169) | (~v114(constB169)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB169) | (~v114(constB169)))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(25016,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB169) | (~v114(constB169)))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(25017,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB169) | (~v114(constB169))),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[25016, 25015])).
% 73.80/46.64 tff(25018,plain,
% 73.80/46.64 (~v114(constB169)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[25017, 287, 25014])).
% 73.80/46.64 tff(25019,plain,
% 73.80/46.64 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB169) | (~v115(constB169)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB169) | (~v115(constB169)))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(25020,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB169) | (~v115(constB169)))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(25021,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB169) | (~v115(constB169))),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[25020, 25019])).
% 73.80/46.64 tff(25022,plain,
% 73.80/46.64 (~v115(constB169)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[25021, 276, 25018])).
% 73.80/46.64 tff(25023,plain,
% 73.80/46.64 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB169) | (~v116(constB169)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB169) | (~v116(constB169)))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(25024,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB169) | (~v116(constB169)))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(25025,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB169) | (~v116(constB169))),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[25024, 25023])).
% 73.80/46.64 tff(25026,plain,
% 73.80/46.64 (~v116(constB169)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[25025, 265, 25022])).
% 73.80/46.64 tff(25027,plain,
% 73.80/46.64 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB169) | (~v117(constB169)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB169) | (~v117(constB169)))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(25028,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB169) | (~v117(constB169)))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(25029,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB169) | (~v117(constB169))),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[25028, 25027])).
% 73.80/46.64 tff(25030,plain,
% 73.80/46.64 (~v117(constB169)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[25029, 254, 25026])).
% 73.80/46.64 tff(25031,plain,
% 73.80/46.64 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB169) | (~v121(constB169)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB169) | (~v121(constB169)))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(25032,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB169) | (~v121(constB169)))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(25033,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB169) | (~v121(constB169))),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[25032, 25031])).
% 73.80/46.64 tff(25034,plain,
% 73.80/46.64 (~v121(constB169)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[25033, 976, 25030])).
% 73.80/46.64 tff(25035,plain,
% 73.80/46.64 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB169) | (~v123(constB169)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB169) | (~v123(constB169)))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(25036,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB169) | (~v123(constB169)))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(25037,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB169) | (~v123(constB169))),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[25036, 25035])).
% 73.80/46.64 tff(25038,plain,
% 73.80/46.64 (~v123(constB169)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[25037, 1488, 25022])).
% 73.80/46.64 tff(25039,assumption,(~v90(constB170, bitIndex0)), introduced(assumption)).
% 73.80/46.64 tff(25040,plain,
% 73.80/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB169, bitIndex0)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB169, bitIndex0)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex0))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(25041,plain,
% 73.80/46.64 (((~nextState(constB169, constB170)) | (~v90(constB169, bitIndex0)) | v100(constB170) | v90(constB170, bitIndex0)) <=> ((~v90(constB169, bitIndex0)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex0))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(25042,plain,
% 73.80/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v90(constB169, bitIndex0)) | v100(constB170) | v90(constB170, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB169, bitIndex0)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex0)))),
% 73.80/46.64 inference(monotonicity,[status(thm)],[25041])).
% 73.80/46.64 tff(25043,plain,
% 73.80/46.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v90(constB169, bitIndex0)) | v100(constB170) | v90(constB170, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB169, bitIndex0)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex0))),
% 73.80/46.64 inference(transitivity,[status(thm)],[25042, 25040])).
% 73.80/46.64 tff(25044,plain,
% 73.80/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v90(constB169, bitIndex0)) | v100(constB170) | v90(constB170, bitIndex0))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(25045,plain,
% 73.80/46.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB169, bitIndex0)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, bitIndex0)),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[25044, 25043])).
% 73.80/46.64 tff(25046,plain,
% 73.80/46.64 ((~v90(constB169, bitIndex0)) | v100(constB170) | v90(constB170, bitIndex0)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[25045, 437, 24427])).
% 73.80/46.64 tff(25047,plain,
% 73.80/46.64 (~v90(constB169, bitIndex0)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[25046, 25006, 25039])).
% 73.80/46.64 tff(25048,plain,
% 73.80/46.64 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB169) | (~v118(constB169)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB169) | (~v118(constB169)))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(25049,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB169) | (~v118(constB169)))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(25050,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB169) | (~v118(constB169))),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[25049, 25048])).
% 73.80/46.64 tff(25051,plain,
% 73.80/46.64 (~v118(constB169)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[25050, 243, 25030])).
% 73.80/46.64 tff(25052,plain,
% 73.80/46.64 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB169) | (~v119(constB169)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB169) | (~v119(constB169)))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(25053,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB169) | (~v119(constB169)))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(25054,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB169) | (~v119(constB169))),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[25053, 25052])).
% 73.80/46.64 tff(25055,plain,
% 73.80/46.64 (~v119(constB169)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[25054, 232, 25051])).
% 73.80/46.64 tff(25056,assumption,(~v119(constB169)), introduced(assumption)).
% 73.80/46.64 tff(25057,assumption,(~v90(constB169, bitIndex1)), introduced(assumption)).
% 73.80/46.64 tff(25058,assumption,(~v123(constB169)), introduced(assumption)).
% 73.80/46.64 tff(25059,assumption,(~v90(constB169, bitIndex0)), introduced(assumption)).
% 73.80/46.64 tff(25060,plain,
% 73.80/46.64 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | v123(constB169))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | v123(constB169))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(25061,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | v123(constB169))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(25062,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | v123(constB169)),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[25061, 25060])).
% 73.80/46.64 tff(25063,plain,
% 73.80/46.64 (v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | v123(constB169)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[25062, 1477, 25059])).
% 73.80/46.64 tff(25064,plain,
% 73.80/46.64 (~v90(constB169, bitIndex2)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[25063, 25057, 25058])).
% 73.80/46.64 tff(25065,plain,
% 73.80/46.64 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB169) | v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB169) | v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2))),
% 73.80/46.64 inference(rewrite,[status(thm)],[])).
% 73.80/46.64 tff(25066,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB169) | v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2))),
% 73.80/46.64 inference(quant_inst,[status(thm)],[])).
% 73.80/46.64 tff(25067,plain,
% 73.80/46.64 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB169) | v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2)),
% 73.80/46.64 inference(modus_ponens,[status(thm)],[25066, 25065])).
% 73.80/46.64 tff(25068,plain,
% 73.80/46.64 (v119(constB169) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[25067, 151, 25059])).
% 73.80/46.64 tff(25069,plain,
% 73.80/46.64 ($false),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[25068, 25064, 25057, 25056])).
% 73.80/46.64 tff(25070,plain,(v90(constB169, bitIndex1) | v119(constB169) | v90(constB169, bitIndex0) | v123(constB169)), inference(lemma,lemma(discharge,[]))).
% 73.80/46.64 tff(25071,plain,
% 73.80/46.64 (v90(constB169, bitIndex1)),
% 73.80/46.64 inference(unit_resolution,[status(thm)],[25070, 25055, 25047, 25038])).
% 73.80/46.65 tff(25072,plain,
% 73.80/46.65 (~v125(constB169)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[24410, 2047, 25014])).
% 73.80/46.65 tff(25073,plain,
% 73.80/46.65 ((~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)) | v125(constB169)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[24405, 2036, 25047])).
% 73.80/46.65 tff(25074,plain,
% 73.80/46.65 (~v90(constB169, bitIndex2)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25073, 25071, 25072])).
% 73.80/46.65 tff(25075,plain,
% 73.80/46.65 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25076,plain,
% 73.80/46.65 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169))),
% 73.80/46.65 inference(quant_inst,[status(thm)],[])).
% 73.80/46.65 tff(25077,plain,
% 73.80/46.65 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169)),
% 73.80/46.65 inference(modus_ponens,[status(thm)],[25076, 25075])).
% 73.80/46.65 tff(25078,plain,
% 73.80/46.65 ((~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25077, 965, 25047])).
% 73.80/46.65 tff(25079,plain,
% 73.80/46.65 ($false),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25078, 25074, 25071, 25034])).
% 73.80/46.65 tff(25080,plain,(v100(constB170) | v90(constB170, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.80/46.65 tff(25081,plain,
% 73.80/46.65 (v100(constB170)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25080, 25005])).
% 73.80/46.65 tff(25082,plain,
% 73.80/46.65 (~v129(constB170, bitIndex0)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[24662, 401, 25081, 25005])).
% 73.80/46.65 tff(25083,plain,
% 73.80/46.65 (~v127(constB169, bitIndex0)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[24655, 25082])).
% 73.80/46.65 tff(25084,plain,
% 73.80/46.65 (~v130(constB169, bitIndex0)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[24650, 25083])).
% 73.80/46.65 tff(25085,plain,
% 73.80/46.65 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB169)) | v130(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB169)) | v130(constB169, bitIndex0))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25086,plain,
% 73.80/46.65 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB169)) | v130(constB169, bitIndex0))),
% 73.80/46.65 inference(quant_inst,[status(thm)],[])).
% 73.80/46.65 tff(25087,plain,
% 73.80/46.65 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB169)) | v130(constB169, bitIndex0)),
% 73.80/46.65 inference(modus_ponens,[status(thm)],[25086, 25085])).
% 73.80/46.65 tff(25088,plain,
% 73.80/46.65 (~v121(constB169)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25087, 1162, 25084])).
% 73.80/46.65 tff(25089,assumption,(~v121(constB171)), introduced(assumption)).
% 73.80/46.65 tff(25090,plain,
% 73.80/46.65 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB171, bitIndex0) | (~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2) | v121(constB171))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB171, bitIndex0) | (~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2) | v121(constB171))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25091,plain,
% 73.80/46.65 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB171, bitIndex0) | (~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2) | v121(constB171))),
% 73.80/46.65 inference(quant_inst,[status(thm)],[])).
% 73.80/46.65 tff(25092,plain,
% 73.80/46.65 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB171, bitIndex0) | (~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2) | v121(constB171)),
% 73.80/46.65 inference(modus_ponens,[status(thm)],[25091, 25090])).
% 73.80/46.65 tff(25093,plain,
% 73.80/46.65 (v90(constB171, bitIndex0) | (~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25092, 965, 25089])).
% 73.80/46.65 tff(25094,plain,
% 73.80/46.65 (~v90(constB171, bitIndex1)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25093, 24999, 25004])).
% 73.80/46.65 tff(25095,plain,
% 73.80/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25096,plain,
% 73.80/46.65 (((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1)) <=> ((~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25097,plain,
% 73.80/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1)))),
% 73.80/46.65 inference(monotonicity,[status(thm)],[25096])).
% 73.80/46.65 tff(25098,plain,
% 73.80/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1))),
% 73.80/46.65 inference(transitivity,[status(thm)],[25097, 25095])).
% 73.80/46.65 tff(25099,plain,
% 73.80/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1))),
% 73.80/46.65 inference(quant_inst,[status(thm)],[])).
% 73.80/46.65 tff(25100,plain,
% 73.80/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1)),
% 73.80/46.65 inference(modus_ponens,[status(thm)],[25099, 25098])).
% 73.80/46.65 tff(25101,plain,
% 73.80/46.65 ((~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25100, 872, 24556])).
% 73.80/46.65 tff(25102,plain,
% 73.80/46.65 ((~v90(constB170, bitIndex1)) | v90(constB171, bitIndex1)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25101, 24568])).
% 73.80/46.65 tff(25103,plain,
% 73.80/46.65 (~v90(constB170, bitIndex1)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25102, 25094])).
% 73.80/46.65 tff(25104,plain,
% 73.80/46.65 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170)))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25105,plain,
% 73.80/46.65 ((v90(constB170, bitIndex1) | (~v100(constB170)) | (~v129(constB170, bitIndex1))) <=> (v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170)))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25106,plain,
% 73.80/46.65 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~v100(constB170)) | (~v129(constB170, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170))))),
% 73.80/46.65 inference(monotonicity,[status(thm)],[25105])).
% 73.80/46.65 tff(25107,plain,
% 73.80/46.65 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~v100(constB170)) | (~v129(constB170, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170)))),
% 73.80/46.65 inference(transitivity,[status(thm)],[25106, 25104])).
% 73.80/46.65 tff(25108,plain,
% 73.80/46.65 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~v100(constB170)) | (~v129(constB170, bitIndex1)))),
% 73.80/46.65 inference(quant_inst,[status(thm)],[])).
% 73.80/46.65 tff(25109,plain,
% 73.80/46.65 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170))),
% 73.80/46.65 inference(modus_ponens,[status(thm)],[25108, 25107])).
% 73.80/46.65 tff(25110,plain,
% 73.80/46.65 (v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1))),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25109, 854, 25081])).
% 73.80/46.65 tff(25111,plain,
% 73.80/46.65 (~v129(constB170, bitIndex1)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25110, 25103])).
% 73.80/46.65 tff(25112,plain,
% 73.80/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25113,plain,
% 73.80/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1))),
% 73.80/46.65 inference(quant_inst,[status(thm)],[])).
% 73.80/46.65 tff(25114,plain,
% 73.80/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1)),
% 73.80/46.65 inference(modus_ponens,[status(thm)],[25113, 25112])).
% 73.80/46.65 tff(25115,plain,
% 73.80/46.65 ((~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25114, 839, 24427])).
% 73.80/46.65 tff(25116,plain,
% 73.80/46.65 (~v127(constB169, bitIndex1)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25115, 25111])).
% 73.80/46.65 tff(25117,plain,
% 73.80/46.65 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB169) | (~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB169) | (~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25118,plain,
% 73.80/46.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB169) | (~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1))),
% 73.80/46.65 inference(quant_inst,[status(thm)],[])).
% 73.80/46.65 tff(25119,plain,
% 73.80/46.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB169) | (~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1)),
% 73.80/46.65 inference(modus_ponens,[status(thm)],[25118, 25117])).
% 73.80/46.65 tff(25120,plain,
% 73.80/46.65 ((~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25119, 824, 24415])).
% 73.80/46.65 tff(25121,plain,
% 73.80/46.65 (~v130(constB169, bitIndex1)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25120, 25116])).
% 73.80/46.65 tff(25122,assumption,(~v130(constB169, bitIndex0)), introduced(assumption)).
% 73.80/46.65 tff(25123,plain,
% 73.80/46.65 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB169)) | v130(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB169)) | v130(constB169, bitIndex0))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25124,plain,
% 73.80/46.65 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB169)) | v130(constB169, bitIndex0))),
% 73.80/46.65 inference(quant_inst,[status(thm)],[])).
% 73.80/46.65 tff(25125,plain,
% 73.80/46.65 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB169)) | v130(constB169, bitIndex0)),
% 73.80/46.65 inference(modus_ponens,[status(thm)],[25124, 25123])).
% 73.80/46.65 tff(25126,plain,
% 73.80/46.65 (~v123(constB169)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25125, 1666, 25122])).
% 73.80/46.65 tff(25127,plain,
% 73.80/46.65 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB169)) | v130(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB169)) | v130(constB169, bitIndex0))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25128,plain,
% 73.80/46.65 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB169)) | v130(constB169, bitIndex0))),
% 73.80/46.65 inference(quant_inst,[status(thm)],[])).
% 73.80/46.65 tff(25129,plain,
% 73.80/46.65 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB169)) | v130(constB169, bitIndex0)),
% 73.80/46.65 inference(modus_ponens,[status(thm)],[25128, 25127])).
% 73.80/46.65 tff(25130,plain,
% 73.80/46.65 (~v119(constB169)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25129, 165, 25122])).
% 73.80/46.65 tff(25131,assumption,(~v130(constB169, bitIndex1)), introduced(assumption)).
% 73.80/46.65 tff(25132,plain,
% 73.80/46.65 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB169)) | v130(constB169, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB169)) | v130(constB169, bitIndex1))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25133,plain,
% 73.80/46.65 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB169)) | v130(constB169, bitIndex1))),
% 73.80/46.65 inference(quant_inst,[status(thm)],[])).
% 73.80/46.65 tff(25134,plain,
% 73.80/46.65 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB169)) | v130(constB169, bitIndex1)),
% 73.80/46.65 inference(modus_ponens,[status(thm)],[25133, 25132])).
% 73.80/46.65 tff(25135,plain,
% 73.80/46.65 (~v124(constB169)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25134, 1867, 25131])).
% 73.80/46.65 tff(25136,plain,
% 73.80/46.65 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB169)) | v130(constB169, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB169)) | v130(constB169, bitIndex1))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25137,plain,
% 73.80/46.65 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB169)) | v130(constB169, bitIndex1))),
% 73.80/46.65 inference(quant_inst,[status(thm)],[])).
% 73.80/46.65 tff(25138,plain,
% 73.80/46.65 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB169)) | v130(constB169, bitIndex1)),
% 73.80/46.65 inference(modus_ponens,[status(thm)],[25137, 25136])).
% 73.80/46.65 tff(25139,plain,
% 73.80/46.65 (~v120(constB169)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25138, 810, 25131])).
% 73.80/46.65 tff(25140,assumption,(~v121(constB169)), introduced(assumption)).
% 73.80/46.65 tff(25141,assumption,(~v122(constB169)), introduced(assumption)).
% 73.80/46.65 tff(25142,plain,
% 73.80/46.65 (v124(constB169) | v123(constB169) | v120(constB169) | v119(constB169) | v130(constB169, bitIndex0)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[24644, 2192, 25141, 25140])).
% 73.80/46.65 tff(25143,plain,
% 73.80/46.65 ($false),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25142, 25139, 25135, 25130, 25122, 25126])).
% 73.80/46.65 tff(25144,plain,(v130(constB169, bitIndex1) | v130(constB169, bitIndex0) | v122(constB169) | v121(constB169)), inference(lemma,lemma(discharge,[]))).
% 73.80/46.65 tff(25145,plain,
% 73.80/46.65 (v122(constB169)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25144, 25121, 25084, 25088])).
% 73.80/46.65 tff(25146,plain,
% 73.80/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB170, bitIndex2)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB170, bitIndex2)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex2))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25147,plain,
% 73.80/46.65 (((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex2)) | v100(constB171) | v90(constB171, bitIndex2)) <=> ((~v90(constB170, bitIndex2)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex2))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25148,plain,
% 73.80/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex2)) | v100(constB171) | v90(constB171, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB170, bitIndex2)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex2)))),
% 73.80/46.65 inference(monotonicity,[status(thm)],[25147])).
% 73.80/46.65 tff(25149,plain,
% 73.80/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex2)) | v100(constB171) | v90(constB171, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB170, bitIndex2)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex2))),
% 73.80/46.65 inference(transitivity,[status(thm)],[25148, 25146])).
% 73.80/46.65 tff(25150,plain,
% 73.80/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex2)) | v100(constB171) | v90(constB171, bitIndex2))),
% 73.80/46.65 inference(quant_inst,[status(thm)],[])).
% 73.80/46.65 tff(25151,plain,
% 73.80/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB170, bitIndex2)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex2)),
% 73.80/46.65 inference(modus_ponens,[status(thm)],[25150, 25149])).
% 73.80/46.65 tff(25152,plain,
% 73.80/46.65 ((~v90(constB170, bitIndex2)) | v100(constB171) | v90(constB171, bitIndex2)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25151, 1370, 24556])).
% 73.80/46.65 tff(25153,plain,
% 73.80/46.65 ((~v90(constB170, bitIndex2)) | v90(constB171, bitIndex2)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25152, 24568])).
% 73.80/46.65 tff(25154,plain,
% 73.80/46.65 (~v90(constB170, bitIndex2)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25153, 24999])).
% 73.80/46.65 tff(25155,plain,
% 73.80/46.65 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB170, bitIndex2) | (~v129(constB170, bitIndex2)) | (~v100(constB170)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~v129(constB170, bitIndex2)) | (~v100(constB170)))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25156,plain,
% 73.80/46.65 ((v90(constB170, bitIndex2) | (~v100(constB170)) | (~v129(constB170, bitIndex2))) <=> (v90(constB170, bitIndex2) | (~v129(constB170, bitIndex2)) | (~v100(constB170)))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25157,plain,
% 73.80/46.65 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB170, bitIndex2) | (~v100(constB170)) | (~v129(constB170, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB170, bitIndex2) | (~v129(constB170, bitIndex2)) | (~v100(constB170))))),
% 73.80/46.65 inference(monotonicity,[status(thm)],[25156])).
% 73.80/46.65 tff(25158,plain,
% 73.80/46.65 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB170, bitIndex2) | (~v100(constB170)) | (~v129(constB170, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~v129(constB170, bitIndex2)) | (~v100(constB170)))),
% 73.80/46.65 inference(transitivity,[status(thm)],[25157, 25155])).
% 73.80/46.65 tff(25159,plain,
% 73.80/46.65 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB170, bitIndex2) | (~v100(constB170)) | (~v129(constB170, bitIndex2)))),
% 73.80/46.65 inference(quant_inst,[status(thm)],[])).
% 73.80/46.65 tff(25160,plain,
% 73.80/46.65 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB170, bitIndex2) | (~v129(constB170, bitIndex2)) | (~v100(constB170))),
% 73.80/46.65 inference(modus_ponens,[status(thm)],[25159, 25158])).
% 73.80/46.65 tff(25161,plain,
% 73.80/46.65 (v90(constB170, bitIndex2) | (~v129(constB170, bitIndex2))),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25160, 1334, 25081])).
% 73.80/46.65 tff(25162,plain,
% 73.80/46.65 (~v129(constB170, bitIndex2)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25161, 25154])).
% 73.80/46.65 tff(25163,plain,
% 73.80/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex2)) | v129(constB170, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex2)) | v129(constB170, bitIndex2))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25164,plain,
% 73.80/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex2)) | v129(constB170, bitIndex2))),
% 73.80/46.65 inference(quant_inst,[status(thm)],[])).
% 73.80/46.65 tff(25165,plain,
% 73.80/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex2)) | v129(constB170, bitIndex2)),
% 73.80/46.65 inference(modus_ponens,[status(thm)],[25164, 25163])).
% 73.80/46.65 tff(25166,plain,
% 73.80/46.65 ((~v127(constB169, bitIndex2)) | v129(constB170, bitIndex2)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25165, 1319, 24427])).
% 73.80/46.65 tff(25167,plain,
% 73.80/46.65 (~v127(constB169, bitIndex2)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25166, 25162])).
% 73.80/46.65 tff(25168,plain,
% 73.80/46.65 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB169) | (~v130(constB169, bitIndex2)) | v127(constB169, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB169) | (~v130(constB169, bitIndex2)) | v127(constB169, bitIndex2))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25169,plain,
% 73.80/46.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB169) | (~v130(constB169, bitIndex2)) | v127(constB169, bitIndex2))),
% 73.80/46.65 inference(quant_inst,[status(thm)],[])).
% 73.80/46.65 tff(25170,plain,
% 73.80/46.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB169) | (~v130(constB169, bitIndex2)) | v127(constB169, bitIndex2)),
% 73.80/46.65 inference(modus_ponens,[status(thm)],[25169, 25168])).
% 73.80/46.65 tff(25171,plain,
% 73.80/46.65 ((~v130(constB169, bitIndex2)) | v127(constB169, bitIndex2)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25170, 1304, 24415])).
% 73.80/46.65 tff(25172,plain,
% 73.80/46.65 (~v130(constB169, bitIndex2)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25171, 25167])).
% 73.80/46.65 tff(25173,plain,
% 73.80/46.65 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB169)) | v130(constB169, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB169)) | v130(constB169, bitIndex2))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25174,plain,
% 73.80/46.65 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB169)) | v130(constB169, bitIndex2))),
% 73.80/46.65 inference(quant_inst,[status(thm)],[])).
% 73.80/46.65 tff(25175,plain,
% 73.80/46.65 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB169)) | v130(constB169, bitIndex2)),
% 73.80/46.65 inference(modus_ponens,[status(thm)],[25174, 25173])).
% 73.80/46.65 tff(25176,plain,
% 73.80/46.65 ($false),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25175, 1290, 25172, 25145])).
% 73.80/46.65 tff(25177,plain,(v90(constB171, bitIndex2) | v90(constB171, bitIndex0) | v121(constB171)), inference(lemma,lemma(discharge,[]))).
% 73.80/46.65 tff(25178,plain,
% 73.80/46.65 (v90(constB171, bitIndex0)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25177, 25003, 24999])).
% 73.80/46.65 tff(25179,plain,
% 73.80/46.65 ((~v90(constB171, bitIndex0)) | v90(constB171, bitIndex1) | v120(constB171)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[24679, 631, 24999])).
% 73.80/46.65 tff(25180,plain,
% 73.80/46.65 (v120(constB171)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25179, 25178, 24998])).
% 73.80/46.65 tff(25181,plain,
% 73.80/46.65 (~v90(constB172, bitIndex0)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[24799, 25180])).
% 73.80/46.65 tff(25182,plain,
% 73.80/46.65 (~v90(constB173, bitIndex0)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[24886, 25181])).
% 73.80/46.65 tff(25183,plain,
% 73.80/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB173, bitIndex0) | (~nextState(constB173, constB174)) | v100(constB174) | (~v90(constB174, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB173, bitIndex0) | (~nextState(constB173, constB174)) | v100(constB174) | (~v90(constB174, bitIndex0)))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25184,plain,
% 73.80/46.65 (((~nextState(constB173, constB174)) | v90(constB173, bitIndex0) | v100(constB174) | (~v90(constB174, bitIndex0))) <=> (v90(constB173, bitIndex0) | (~nextState(constB173, constB174)) | v100(constB174) | (~v90(constB174, bitIndex0)))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25185,plain,
% 73.80/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB173, constB174)) | v90(constB173, bitIndex0) | v100(constB174) | (~v90(constB174, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB173, bitIndex0) | (~nextState(constB173, constB174)) | v100(constB174) | (~v90(constB174, bitIndex0))))),
% 73.80/46.65 inference(monotonicity,[status(thm)],[25184])).
% 73.80/46.65 tff(25186,plain,
% 73.80/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB173, constB174)) | v90(constB173, bitIndex0) | v100(constB174) | (~v90(constB174, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB173, bitIndex0) | (~nextState(constB173, constB174)) | v100(constB174) | (~v90(constB174, bitIndex0)))),
% 73.80/46.65 inference(transitivity,[status(thm)],[25185, 25183])).
% 73.80/46.65 tff(25187,plain,
% 73.80/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB173, constB174)) | v90(constB173, bitIndex0) | v100(constB174) | (~v90(constB174, bitIndex0)))),
% 73.80/46.65 inference(quant_inst,[status(thm)],[])).
% 73.80/46.65 tff(25188,plain,
% 73.80/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB173, bitIndex0) | (~nextState(constB173, constB174)) | v100(constB174) | (~v90(constB174, bitIndex0))),
% 73.80/46.65 inference(modus_ponens,[status(thm)],[25187, 25186])).
% 73.80/46.65 tff(25189,plain,
% 73.80/46.65 (v90(constB173, bitIndex0) | v100(constB174) | (~v90(constB174, bitIndex0))),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25188, 130, 24911])).
% 73.80/46.65 tff(25190,plain,
% 73.80/46.65 (v100(constB174)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25189, 25182, 24997])).
% 73.80/46.65 tff(25191,assumption,(v90(constB174, bitIndex2)), introduced(assumption)).
% 73.80/46.65 tff(25192,plain,
% 73.80/46.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2) | (~v100(constB174)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2) | (~v100(constB174)))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25193,plain,
% 73.80/46.65 (((~v90(constB174, bitIndex2)) | (~v100(constB174)) | v129(constB174, bitIndex2)) <=> ((~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2) | (~v100(constB174)))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25194,plain,
% 73.80/46.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB174, bitIndex2)) | (~v100(constB174)) | v129(constB174, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2) | (~v100(constB174))))),
% 73.80/46.65 inference(monotonicity,[status(thm)],[25193])).
% 73.80/46.65 tff(25195,plain,
% 73.80/46.65 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB174, bitIndex2)) | (~v100(constB174)) | v129(constB174, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2) | (~v100(constB174)))),
% 73.80/46.65 inference(transitivity,[status(thm)],[25194, 25192])).
% 73.80/46.65 tff(25196,plain,
% 73.80/46.65 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB174, bitIndex2)) | (~v100(constB174)) | v129(constB174, bitIndex2))),
% 73.80/46.65 inference(quant_inst,[status(thm)],[])).
% 73.80/46.65 tff(25197,plain,
% 73.80/46.65 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2) | (~v100(constB174))),
% 73.80/46.65 inference(modus_ponens,[status(thm)],[25196, 25195])).
% 73.80/46.65 tff(25198,plain,
% 73.80/46.65 (v129(constB174, bitIndex2) | (~v100(constB174))),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25197, 503, 25191])).
% 73.80/46.65 tff(25199,plain,
% 73.80/46.65 (v129(constB174, bitIndex2)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25198, 25190])).
% 73.80/46.65 tff(25200,plain,
% 73.80/46.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB173, constB174)) | v127(constB173, bitIndex2) | (~v129(constB174, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB173, constB174)) | v127(constB173, bitIndex2) | (~v129(constB174, bitIndex2)))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25201,plain,
% 73.80/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB173, constB174)) | v127(constB173, bitIndex2) | (~v129(constB174, bitIndex2)))),
% 73.80/46.65 inference(quant_inst,[status(thm)],[])).
% 73.80/46.65 tff(25202,plain,
% 73.80/46.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB173, constB174)) | v127(constB173, bitIndex2) | (~v129(constB174, bitIndex2))),
% 73.80/46.65 inference(modus_ponens,[status(thm)],[25201, 25200])).
% 73.80/46.65 tff(25203,plain,
% 73.80/46.65 (v127(constB173, bitIndex2) | (~v129(constB174, bitIndex2))),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25202, 488, 24911])).
% 73.80/46.65 tff(25204,plain,
% 73.80/46.65 (v127(constB173, bitIndex2)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25203, 25199])).
% 73.80/46.65 tff(25205,plain,
% 73.80/46.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25206,plain,
% 73.80/46.65 ((v26(constB173) | v130(constB173, bitIndex2) | (~v127(constB173, bitIndex2))) <=> ((~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25207,plain,
% 73.80/46.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB173) | v130(constB173, bitIndex2) | (~v127(constB173, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2)))),
% 73.80/46.65 inference(monotonicity,[status(thm)],[25206])).
% 73.80/46.65 tff(25208,plain,
% 73.80/46.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB173) | v130(constB173, bitIndex2) | (~v127(constB173, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2))),
% 73.80/46.65 inference(transitivity,[status(thm)],[25207, 25205])).
% 73.80/46.65 tff(25209,plain,
% 73.80/46.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB173) | v130(constB173, bitIndex2) | (~v127(constB173, bitIndex2)))),
% 73.80/46.65 inference(quant_inst,[status(thm)],[])).
% 73.80/46.65 tff(25210,plain,
% 73.80/46.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB173, bitIndex2)) | v26(constB173) | v130(constB173, bitIndex2)),
% 73.80/46.65 inference(modus_ponens,[status(thm)],[25209, 25208])).
% 73.80/46.65 tff(25211,plain,
% 73.80/46.65 ((~v127(constB173, bitIndex2)) | v130(constB173, bitIndex2)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25210, 470, 24903])).
% 73.80/46.65 tff(25212,plain,
% 73.80/46.65 (v130(constB173, bitIndex2)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25211, 25204])).
% 73.80/46.65 tff(25213,plain,
% 73.80/46.65 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB173)) | (~v130(constB173, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB173)) | (~v130(constB173, bitIndex2)))),
% 73.80/46.65 inference(rewrite,[status(thm)],[])).
% 73.80/46.65 tff(25214,plain,
% 73.80/46.65 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB173)) | (~v130(constB173, bitIndex2)))),
% 73.80/46.65 inference(quant_inst,[status(thm)],[])).
% 73.80/46.65 tff(25215,plain,
% 73.80/46.65 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB173)) | (~v130(constB173, bitIndex2))),
% 73.80/46.65 inference(modus_ponens,[status(thm)],[25214, 25213])).
% 73.80/46.65 tff(25216,plain,
% 73.80/46.65 (~v121(constB173)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25215, 1059, 25212])).
% 73.80/46.65 tff(25217,plain,
% 73.80/46.65 (v130(constB171, bitIndex1)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[24683, 810, 25180])).
% 73.80/46.65 tff(25218,plain,
% 73.80/46.65 (v127(constB171, bitIndex1)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[24692, 25217])).
% 73.80/46.65 tff(25219,plain,
% 73.80/46.65 (v129(constB172, bitIndex1)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[24700, 25218])).
% 73.80/46.65 tff(25220,plain,
% 73.80/46.65 (v100(constB172)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[24807, 25181, 25178])).
% 73.80/46.65 tff(25221,plain,
% 73.80/46.65 (v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1))),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[24814, 854, 25220])).
% 73.80/46.65 tff(25222,plain,
% 73.80/46.65 (v90(constB172, bitIndex1)),
% 73.80/46.65 inference(unit_resolution,[status(thm)],[25221, 25219])).
% 73.80/46.65 tff(25223,plain,
% 73.80/46.65 (v90(constB173, bitIndex1)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[24842, 25222])).
% 73.80/46.66 tff(25224,plain,
% 73.80/46.66 (~v130(constB171, bitIndex2)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[24846, 730, 25180])).
% 73.80/46.66 tff(25225,plain,
% 73.80/46.66 (~v127(constB171, bitIndex2)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[24854, 25224])).
% 73.80/46.66 tff(25226,plain,
% 73.80/46.66 (~v129(constB172, bitIndex2)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[24859, 25225])).
% 73.80/46.66 tff(25227,plain,
% 73.80/46.66 ((~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[24866, 503, 25220])).
% 73.80/46.66 tff(25228,plain,
% 73.80/46.66 (~v90(constB172, bitIndex2)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25227, 25226])).
% 73.80/46.66 tff(25229,plain,
% 73.80/46.66 (~v90(constB173, bitIndex2)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[24876, 25228])).
% 73.80/46.66 tff(25230,plain,
% 73.80/46.66 ((~v90(constB173, bitIndex1)) | v90(constB173, bitIndex2) | v121(constB173)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[24890, 965, 25182])).
% 73.80/46.66 tff(25231,plain,
% 73.80/46.66 ($false),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25230, 25229, 25223, 25216])).
% 73.80/46.66 tff(25232,plain,(v90(constB171, bitIndex1) | (~v90(constB174, bitIndex2)) | (~v90(constB174, bitIndex0)) | v90(constB171, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 73.80/46.66 tff(25233,plain,
% 73.80/46.66 (~v90(constB174, bitIndex2)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25232, 24996, 24990, 24577])).
% 73.80/46.66 tff(25234,plain,
% 73.80/46.66 ((~v1(constB175)) <=> (~v1(constB175))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25235,axiom,(~v1(constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_175_1_1')).
% 73.80/46.66 tff(25236,plain,
% 73.80/46.66 (~v1(constB175)),
% 73.80/46.66 inference(modus_ponens,[status(thm)],[25235, 25234])).
% 73.80/46.66 tff(25237,plain,
% 73.80/46.66 (nextState(constB174, constB175) <=> nextState(constB174, constB175)),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25238,axiom,(nextState(constB174, constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_174_1')).
% 73.80/46.66 tff(25239,plain,
% 73.80/46.66 (nextState(constB174, constB175)),
% 73.80/46.66 inference(modus_ponens,[status(thm)],[25238, 25237])).
% 73.80/46.66 tff(25240,plain,
% 73.80/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25241,plain,
% 73.80/46.66 (((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175)) <=> (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25242,plain,
% 73.80/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175))))),
% 73.80/46.66 inference(monotonicity,[status(thm)],[25241])).
% 73.80/46.66 tff(25243,plain,
% 73.80/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 73.80/46.66 inference(transitivity,[status(thm)],[25242, 25240])).
% 73.80/46.66 tff(25244,plain,
% 73.80/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))),
% 73.80/46.66 inference(quant_inst,[status(thm)],[])).
% 73.80/46.66 tff(25245,plain,
% 73.80/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175))),
% 73.80/46.66 inference(modus_ponens,[status(thm)],[25244, 25243])).
% 73.80/46.66 tff(25246,plain,
% 73.80/46.66 (~v101(constB175)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25245, 56, 25239, 25236])).
% 73.80/46.66 tff(25247,plain,
% 73.80/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25248,plain,
% 73.80/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))),
% 73.80/46.66 inference(quant_inst,[status(thm)],[])).
% 73.80/46.66 tff(25249,plain,
% 73.80/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175))),
% 73.80/46.66 inference(modus_ponens,[status(thm)],[25248, 25247])).
% 73.80/46.66 tff(25250,plain,
% 73.80/46.66 (v101(constB175) | (~v100(constB175))),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25249, 73, 25239])).
% 73.80/46.66 tff(25251,plain,
% 73.80/46.66 (~v100(constB175)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25250, 25246])).
% 73.80/46.66 tff(25252,plain,
% 73.80/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex2)))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25253,plain,
% 73.80/46.66 (((~nextState(constB174, constB175)) | v90(constB174, bitIndex2) | v100(constB175) | (~v90(constB175, bitIndex2))) <=> (v90(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex2)))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25254,plain,
% 73.80/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB174, constB175)) | v90(constB174, bitIndex2) | v100(constB175) | (~v90(constB175, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex2))))),
% 73.80/46.66 inference(monotonicity,[status(thm)],[25253])).
% 73.80/46.66 tff(25255,plain,
% 73.80/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB174, constB175)) | v90(constB174, bitIndex2) | v100(constB175) | (~v90(constB175, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex2)))),
% 73.80/46.66 inference(transitivity,[status(thm)],[25254, 25252])).
% 73.80/46.66 tff(25256,plain,
% 73.80/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB174, constB175)) | v90(constB174, bitIndex2) | v100(constB175) | (~v90(constB175, bitIndex2)))),
% 73.80/46.66 inference(quant_inst,[status(thm)],[])).
% 73.80/46.66 tff(25257,plain,
% 73.80/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex2))),
% 73.80/46.66 inference(modus_ponens,[status(thm)],[25256, 25255])).
% 73.80/46.66 tff(25258,plain,
% 73.80/46.66 (v90(constB174, bitIndex2) | v100(constB175) | (~v90(constB175, bitIndex2))),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25257, 88, 25239])).
% 73.80/46.66 tff(25259,plain,
% 73.80/46.66 (v90(constB174, bitIndex2) | (~v90(constB175, bitIndex2))),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25258, 25251])).
% 73.80/46.66 tff(25260,plain,
% 73.80/46.66 (~v90(constB175, bitIndex2)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25259, 25233])).
% 73.80/46.66 tff(25261,plain,
% 73.80/46.66 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB173)) | v130(constB173, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB173)) | v130(constB173, bitIndex1))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25262,plain,
% 73.80/46.66 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB173)) | v130(constB173, bitIndex1))),
% 73.80/46.66 inference(quant_inst,[status(thm)],[])).
% 73.80/46.66 tff(25263,plain,
% 73.80/46.66 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB173)) | v130(constB173, bitIndex1)),
% 73.80/46.66 inference(modus_ponens,[status(thm)],[25262, 25261])).
% 73.80/46.66 tff(25264,plain,
% 73.80/46.66 (v130(constB173, bitIndex1)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25263, 1121, 24894])).
% 73.80/46.66 tff(25265,plain,
% 73.80/46.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25266,plain,
% 73.80/46.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1))),
% 73.80/46.66 inference(quant_inst,[status(thm)],[])).
% 73.80/46.66 tff(25267,plain,
% 73.80/46.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1)),
% 73.80/46.66 inference(modus_ponens,[status(thm)],[25266, 25265])).
% 73.80/46.66 tff(25268,plain,
% 73.80/46.66 ((~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25267, 824, 24903])).
% 73.80/46.66 tff(25269,plain,
% 73.80/46.66 (v127(constB173, bitIndex1)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25268, 25264])).
% 73.80/46.66 tff(25270,plain,
% 73.80/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25271,plain,
% 73.80/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1))),
% 73.80/46.66 inference(quant_inst,[status(thm)],[])).
% 73.80/46.66 tff(25272,plain,
% 73.80/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1)),
% 73.80/46.66 inference(modus_ponens,[status(thm)],[25271, 25270])).
% 73.80/46.66 tff(25273,plain,
% 73.80/46.66 ((~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25272, 839, 24911])).
% 73.80/46.66 tff(25274,plain,
% 73.80/46.66 (v129(constB174, bitIndex1)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25273, 25269])).
% 73.80/46.66 tff(25275,plain,
% 73.80/46.66 (v130(constB169, bitIndex0)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[24645, 24509, 24505, 24465])).
% 73.80/46.66 tff(25276,plain,
% 73.80/46.66 (v127(constB169, bitIndex0)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[24650, 25275])).
% 73.80/46.66 tff(25277,plain,
% 73.80/46.66 (v129(constB170, bitIndex0)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[24655, 25276])).
% 73.80/46.66 tff(25278,plain,
% 73.80/46.66 (v90(constB170, bitIndex0) | (~v100(constB170))),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[24662, 401, 25277])).
% 73.80/46.66 tff(25279,plain,
% 73.80/46.66 (v90(constB170, bitIndex0)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25278, 24461])).
% 73.80/46.66 tff(25280,plain,
% 73.80/46.66 (v90(constB171, bitIndex0)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[24672, 25279])).
% 73.80/46.66 tff(25281,plain,
% 73.80/46.66 (v120(constB171)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[24679, 631, 25280, 24996, 24577])).
% 73.80/46.66 tff(25282,plain,
% 73.80/46.66 (~v90(constB172, bitIndex0)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[24799, 25281])).
% 73.80/46.66 tff(25283,plain,
% 73.80/46.66 (~v90(constB173, bitIndex0)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[24886, 25282])).
% 73.80/46.66 tff(25284,plain,
% 73.80/46.66 (v100(constB174)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25189, 25283, 24990])).
% 73.80/46.66 tff(25285,plain,
% 73.80/46.66 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25286,plain,
% 73.80/46.66 ((v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1))) <=> (v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25287,plain,
% 73.80/46.66 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174))))),
% 73.80/46.66 inference(monotonicity,[status(thm)],[25286])).
% 73.80/46.66 tff(25288,plain,
% 73.80/46.66 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))),
% 73.80/46.66 inference(transitivity,[status(thm)],[25287, 25285])).
% 73.80/46.66 tff(25289,plain,
% 73.80/46.66 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1)))),
% 73.80/46.66 inference(quant_inst,[status(thm)],[])).
% 73.80/46.66 tff(25290,plain,
% 73.80/46.66 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174))),
% 73.80/46.66 inference(modus_ponens,[status(thm)],[25289, 25288])).
% 73.80/46.66 tff(25291,plain,
% 73.80/46.66 (v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1))),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25290, 854, 25284])).
% 73.80/46.66 tff(25292,plain,
% 73.80/46.66 (v90(constB174, bitIndex1)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25291, 25274])).
% 73.80/46.66 tff(25293,plain,
% 73.80/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25294,plain,
% 73.80/46.66 (((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1)) <=> ((~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25295,plain,
% 73.80/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1)))),
% 73.80/46.66 inference(monotonicity,[status(thm)],[25294])).
% 73.80/46.66 tff(25296,plain,
% 73.80/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))),
% 73.80/46.66 inference(transitivity,[status(thm)],[25295, 25293])).
% 73.80/46.66 tff(25297,plain,
% 73.80/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1))),
% 73.80/46.66 inference(quant_inst,[status(thm)],[])).
% 73.80/46.66 tff(25298,plain,
% 73.80/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1)),
% 73.80/46.66 inference(modus_ponens,[status(thm)],[25297, 25296])).
% 73.80/46.66 tff(25299,plain,
% 73.80/46.66 ((~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25298, 872, 25239])).
% 73.80/46.66 tff(25300,plain,
% 73.80/46.66 ((~v90(constB174, bitIndex1)) | v90(constB175, bitIndex1)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25299, 25251])).
% 73.80/46.66 tff(25301,plain,
% 73.80/46.66 (v90(constB175, bitIndex1)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25300, 25292])).
% 73.80/46.66 tff(25302,plain,
% 73.80/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25303,plain,
% 73.80/46.66 (((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0)) <=> ((~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25304,plain,
% 73.80/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0)))),
% 73.80/46.66 inference(monotonicity,[status(thm)],[25303])).
% 73.80/46.66 tff(25305,plain,
% 73.80/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0))),
% 73.80/46.66 inference(transitivity,[status(thm)],[25304, 25302])).
% 73.80/46.66 tff(25306,plain,
% 73.80/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0))),
% 73.80/46.66 inference(quant_inst,[status(thm)],[])).
% 73.80/46.66 tff(25307,plain,
% 73.80/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex0)),
% 73.80/46.66 inference(modus_ponens,[status(thm)],[25306, 25305])).
% 73.80/46.66 tff(25308,plain,
% 73.80/46.66 ((~v90(constB174, bitIndex0)) | v100(constB175) | v90(constB175, bitIndex0)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25307, 437, 25239])).
% 73.80/46.66 tff(25309,plain,
% 73.80/46.66 ((~v90(constB174, bitIndex0)) | v90(constB175, bitIndex0)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25308, 25251])).
% 73.80/46.66 tff(25310,plain,
% 73.80/46.66 (v90(constB175, bitIndex0)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25309, 24990])).
% 73.80/46.66 tff(25311,plain,
% 73.80/46.66 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2) | v122(constB175))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2) | v122(constB175))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25312,plain,
% 73.80/46.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2) | v122(constB175))),
% 73.80/46.66 inference(quant_inst,[status(thm)],[])).
% 73.80/46.66 tff(25313,plain,
% 73.80/46.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2) | v122(constB175)),
% 73.80/46.66 inference(modus_ponens,[status(thm)],[25312, 25311])).
% 73.80/46.66 tff(25314,plain,
% 73.80/46.66 ((~v90(constB175, bitIndex1)) | v90(constB175, bitIndex2) | v122(constB175)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25313, 1203, 25310])).
% 73.80/46.66 tff(25315,plain,
% 73.80/46.66 (v122(constB175)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25314, 25301, 25260])).
% 73.80/46.66 tff(25316,plain,
% 73.80/46.66 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB175)) | (~v130(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB175)) | (~v130(constB175, bitIndex1)))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25317,plain,
% 73.80/46.66 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB175)) | (~v130(constB175, bitIndex1)))),
% 73.80/46.66 inference(quant_inst,[status(thm)],[])).
% 73.80/46.66 tff(25318,plain,
% 73.80/46.66 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB175)) | (~v130(constB175, bitIndex1))),
% 73.80/46.66 inference(modus_ponens,[status(thm)],[25317, 25316])).
% 73.80/46.66 tff(25319,plain,
% 73.80/46.66 (~v130(constB175, bitIndex1)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25318, 1389, 25315])).
% 73.80/46.66 tff(25320,assumption,(v26(constB175)), introduced(assumption)).
% 73.80/46.66 tff(25321,plain,
% 73.80/46.66 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB175))),
% 73.80/46.66 inference(quant_inst,[status(thm)],[])).
% 73.80/46.66 tff(25322,plain,
% 73.80/46.66 ($false),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25321, 37, 25320])).
% 73.80/46.66 tff(25323,plain,(~v26(constB175)), inference(lemma,lemma(discharge,[]))).
% 73.80/46.66 tff(25324,plain,
% 73.80/46.66 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25325,plain,
% 73.80/46.66 ((v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1))) <=> ((~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25326,plain,
% 73.80/46.66 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1)))),
% 73.80/46.66 inference(monotonicity,[status(thm)],[25325])).
% 73.80/46.66 tff(25327,plain,
% 73.80/46.66 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))),
% 73.80/46.66 inference(transitivity,[status(thm)],[25326, 25324])).
% 73.80/46.66 tff(25328,plain,
% 73.80/46.66 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1)))),
% 73.80/46.66 inference(quant_inst,[status(thm)],[])).
% 73.80/46.66 tff(25329,plain,
% 73.80/46.66 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1)),
% 73.80/46.66 inference(modus_ponens,[status(thm)],[25328, 25327])).
% 73.80/46.66 tff(25330,plain,
% 73.80/46.66 ((~v127(constB175, bitIndex1)) | v130(constB175, bitIndex1)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25329, 555, 25323])).
% 73.80/46.66 tff(25331,plain,
% 73.80/46.66 (~v127(constB175, bitIndex1)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25330, 25319])).
% 73.80/46.66 tff(25332,plain,
% 73.80/46.66 (nextState(constB175, constB176) <=> nextState(constB175, constB176)),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25333,axiom,(nextState(constB175, constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_175_1')).
% 73.80/46.66 tff(25334,plain,
% 73.80/46.66 (nextState(constB175, constB176)),
% 73.80/46.66 inference(modus_ponens,[status(thm)],[25333, 25332])).
% 73.80/46.66 tff(25335,plain,
% 73.80/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1)))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25336,plain,
% 73.80/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1)))),
% 73.80/46.66 inference(quant_inst,[status(thm)],[])).
% 73.80/46.66 tff(25337,plain,
% 73.80/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1))),
% 73.80/46.66 inference(modus_ponens,[status(thm)],[25336, 25335])).
% 73.80/46.66 tff(25338,plain,
% 73.80/46.66 (v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1))),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25337, 588, 25334])).
% 73.80/46.66 tff(25339,plain,
% 73.80/46.66 (~v129(constB176, bitIndex1)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25338, 25331])).
% 73.80/46.66 tff(25340,assumption,(v122(constB175)), introduced(assumption)).
% 73.80/46.66 tff(25341,plain,
% 73.80/46.66 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB175) | (~v122(constB175)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB175) | (~v122(constB175)))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25342,plain,
% 73.80/46.66 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB175) | (~v122(constB175)))),
% 73.80/46.66 inference(quant_inst,[status(thm)],[])).
% 73.80/46.66 tff(25343,plain,
% 73.80/46.66 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB175) | (~v122(constB175))),
% 73.80/46.66 inference(modus_ponens,[status(thm)],[25342, 25341])).
% 73.80/46.66 tff(25344,plain,
% 73.80/46.66 (v116(constB175)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25343, 1214, 25340])).
% 73.80/46.66 tff(25345,plain,
% 73.80/46.66 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB175) | (~v116(constB175)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB175) | (~v116(constB175)))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25346,plain,
% 73.80/46.66 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB175) | (~v116(constB175)))),
% 73.80/46.66 inference(quant_inst,[status(thm)],[])).
% 73.80/46.66 tff(25347,plain,
% 73.80/46.66 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB175) | (~v116(constB175))),
% 73.80/46.66 inference(modus_ponens,[status(thm)],[25346, 25345])).
% 73.80/46.66 tff(25348,plain,
% 73.80/46.66 (v115(constB175)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25347, 265, 25344])).
% 73.80/46.66 tff(25349,plain,
% 73.80/46.66 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB175) | (~v115(constB175)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB175) | (~v115(constB175)))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25350,plain,
% 73.80/46.66 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB175) | (~v115(constB175)))),
% 73.80/46.66 inference(quant_inst,[status(thm)],[])).
% 73.80/46.66 tff(25351,plain,
% 73.80/46.66 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB175) | (~v115(constB175))),
% 73.80/46.66 inference(modus_ponens,[status(thm)],[25350, 25349])).
% 73.80/46.66 tff(25352,plain,
% 73.80/46.66 (v114(constB175)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25351, 276, 25348])).
% 73.80/46.66 tff(25353,plain,
% 73.80/46.66 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB175)) | (~v130(constB175, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB175)) | (~v130(constB175, bitIndex0)))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25354,plain,
% 73.80/46.66 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB175)) | (~v130(constB175, bitIndex0)))),
% 73.80/46.66 inference(quant_inst,[status(thm)],[])).
% 73.80/46.66 tff(25355,plain,
% 73.80/46.66 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB175)) | (~v130(constB175, bitIndex0))),
% 73.80/46.66 inference(modus_ponens,[status(thm)],[25354, 25353])).
% 73.80/46.66 tff(25356,plain,
% 73.80/46.66 (~v130(constB175, bitIndex0)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25355, 1433, 25340])).
% 73.80/46.66 tff(25357,plain,
% 73.80/46.66 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25358,plain,
% 73.80/46.66 ((v26(constB175) | v130(constB175, bitIndex0) | (~v127(constB175, bitIndex0))) <=> ((~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25359,plain,
% 73.80/46.66 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB175) | v130(constB175, bitIndex0) | (~v127(constB175, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0)))),
% 73.80/46.66 inference(monotonicity,[status(thm)],[25358])).
% 73.80/46.66 tff(25360,plain,
% 73.80/46.66 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB175) | v130(constB175, bitIndex0) | (~v127(constB175, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0))),
% 73.80/46.66 inference(transitivity,[status(thm)],[25359, 25357])).
% 73.80/46.66 tff(25361,plain,
% 73.80/46.66 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB175) | v130(constB175, bitIndex0) | (~v127(constB175, bitIndex0)))),
% 73.80/46.66 inference(quant_inst,[status(thm)],[])).
% 73.80/46.66 tff(25362,plain,
% 73.80/46.66 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB175, bitIndex0)) | v26(constB175) | v130(constB175, bitIndex0)),
% 73.80/46.66 inference(modus_ponens,[status(thm)],[25361, 25360])).
% 73.80/46.66 tff(25363,plain,
% 73.80/46.66 ((~v127(constB175, bitIndex0)) | v130(constB175, bitIndex0)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25362, 905, 25323])).
% 73.80/46.66 tff(25364,plain,
% 73.80/46.66 (~v127(constB175, bitIndex0)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25363, 25356])).
% 73.80/46.66 tff(25365,plain,
% 73.80/46.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex0) | (~v129(constB176, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex0) | (~v129(constB176, bitIndex0)))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25366,plain,
% 73.80/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex0) | (~v129(constB176, bitIndex0)))),
% 73.80/46.66 inference(quant_inst,[status(thm)],[])).
% 73.80/46.66 tff(25367,plain,
% 73.80/46.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex0) | (~v129(constB176, bitIndex0))),
% 73.80/46.66 inference(modus_ponens,[status(thm)],[25366, 25365])).
% 73.80/46.66 tff(25368,plain,
% 73.80/46.66 (v127(constB175, bitIndex0) | (~v129(constB176, bitIndex0))),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25367, 923, 25334])).
% 73.80/46.66 tff(25369,plain,
% 73.80/46.66 (~v129(constB176, bitIndex0)),
% 73.80/46.66 inference(unit_resolution,[status(thm)],[25368, 25364])).
% 73.80/46.66 tff(25370,assumption,(v90(constB176, bitIndex0)), introduced(assumption)).
% 73.80/46.66 tff(25371,plain,
% 73.80/46.66 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0) | (~v100(constB176)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0) | (~v100(constB176)))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25372,plain,
% 73.80/46.66 (((~v90(constB176, bitIndex0)) | (~v100(constB176)) | v129(constB176, bitIndex0)) <=> ((~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0) | (~v100(constB176)))),
% 73.80/46.66 inference(rewrite,[status(thm)],[])).
% 73.80/46.66 tff(25373,plain,
% 73.80/46.66 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | (~v100(constB176)) | v129(constB176, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0) | (~v100(constB176))))),
% 73.80/46.66 inference(monotonicity,[status(thm)],[25372])).
% 73.80/46.66 tff(25374,plain,
% 73.80/46.66 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | (~v100(constB176)) | v129(constB176, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0) | (~v100(constB176)))),
% 73.80/46.66 inference(transitivity,[status(thm)],[25373, 25371])).
% 73.80/46.66 tff(25375,plain,
% 73.80/46.66 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB176, bitIndex0)) | (~v100(constB176)) | v129(constB176, bitIndex0))),
% 73.80/46.66 inference(quant_inst,[status(thm)],[])).
% 73.80/46.66 tff(25376,plain,
% 73.80/46.66 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0) | (~v100(constB176))),
% 73.80/46.67 inference(modus_ponens,[status(thm)],[25375, 25374])).
% 73.80/46.67 tff(25377,plain,
% 73.80/46.67 (v129(constB176, bitIndex0) | (~v100(constB176))),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25376, 938, 25370])).
% 73.80/46.67 tff(25378,plain,
% 73.80/46.67 (~v100(constB176)),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25377, 25369])).
% 73.80/46.67 tff(25379,plain,
% 73.80/46.67 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25380,plain,
% 73.80/46.67 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))),
% 73.80/46.67 inference(quant_inst,[status(thm)],[])).
% 73.80/46.67 tff(25381,plain,
% 73.80/46.67 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176))),
% 73.80/46.67 inference(modus_ponens,[status(thm)],[25380, 25379])).
% 73.80/46.67 tff(25382,plain,
% 73.80/46.67 (~v104(constB176)),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25381, 335, 25334, 25236])).
% 73.80/46.67 tff(25383,plain,
% 73.80/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25384,plain,
% 73.80/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))),
% 73.80/46.67 inference(quant_inst,[status(thm)],[])).
% 73.80/46.67 tff(25385,plain,
% 73.80/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v102(constB176) | v104(constB176)),
% 73.80/46.67 inference(modus_ponens,[status(thm)],[25384, 25383])).
% 73.80/46.67 tff(25386,plain,
% 73.80/46.67 (v102(constB176) | v104(constB176)),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25385, 349, 25334])).
% 73.80/46.67 tff(25387,plain,
% 73.80/46.67 (v102(constB176)),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25386, 25382])).
% 73.80/46.67 tff(25388,plain,
% 73.80/46.67 (v1(constB176) <=> v1(constB176)),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25389,axiom,(v1(constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_176_1')).
% 73.80/46.67 tff(25390,plain,
% 73.80/46.67 (v1(constB176)),
% 73.80/46.67 inference(modus_ponens,[status(thm)],[25389, 25388])).
% 73.80/46.67 tff(25391,plain,
% 73.80/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25392,plain,
% 73.80/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))),
% 73.80/46.67 inference(quant_inst,[status(thm)],[])).
% 73.80/46.67 tff(25393,plain,
% 73.80/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176))),
% 73.80/46.67 inference(modus_ponens,[status(thm)],[25392, 25391])).
% 73.80/46.67 tff(25394,plain,
% 73.80/46.67 (v101(constB176) | (~v102(constB176))),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25393, 367, 25334, 25390])).
% 73.80/46.67 tff(25395,plain,
% 73.80/46.67 (v101(constB176)),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25394, 25387])).
% 73.80/46.67 tff(25396,plain,
% 73.80/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25397,plain,
% 73.80/46.67 (((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176)) <=> ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25398,plain,
% 73.80/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176))))),
% 73.80/46.67 inference(monotonicity,[status(thm)],[25397])).
% 73.80/46.67 tff(25399,plain,
% 73.80/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 73.80/46.67 inference(transitivity,[status(thm)],[25398, 25396])).
% 73.80/46.67 tff(25400,plain,
% 73.80/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))),
% 73.80/46.67 inference(quant_inst,[status(thm)],[])).
% 73.80/46.67 tff(25401,plain,
% 73.80/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176))),
% 73.80/46.67 inference(modus_ponens,[status(thm)],[25400, 25399])).
% 73.80/46.67 tff(25402,plain,
% 73.80/46.67 (v100(constB176) | (~v101(constB176)) | (~v110(constB176))),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25401, 382, 25334])).
% 73.80/46.67 tff(25403,plain,
% 73.80/46.67 (v100(constB176) | (~v110(constB176))),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25402, 25395])).
% 73.80/46.67 tff(25404,plain,
% 73.80/46.67 (~v110(constB176)),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25403, 25378])).
% 73.80/46.67 tff(25405,plain,
% 73.80/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25406,plain,
% 73.80/46.67 (((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176)) <=> ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25407,plain,
% 73.80/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175))))),
% 73.80/46.67 inference(monotonicity,[status(thm)],[25406])).
% 73.80/46.67 tff(25408,plain,
% 73.80/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 73.80/46.67 inference(transitivity,[status(thm)],[25407, 25405])).
% 73.80/46.67 tff(25409,plain,
% 73.80/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))),
% 73.80/46.67 inference(quant_inst,[status(thm)],[])).
% 73.80/46.67 tff(25410,plain,
% 73.80/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175))),
% 73.80/46.67 inference(modus_ponens,[status(thm)],[25409, 25408])).
% 73.80/46.67 tff(25411,plain,
% 73.80/46.67 (v110(constB176) | (~v108(constB175))),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25410, 317, 25334])).
% 73.80/46.67 tff(25412,plain,
% 73.80/46.67 (~v108(constB175)),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25411, 25404])).
% 73.80/46.67 tff(25413,plain,
% 73.80/46.67 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB175) | (~v112(constB175)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB175) | (~v112(constB175)))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25414,plain,
% 73.80/46.67 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB175) | (~v112(constB175)))),
% 73.80/46.67 inference(quant_inst,[status(thm)],[])).
% 73.80/46.67 tff(25415,plain,
% 73.80/46.67 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB175) | (~v112(constB175))),
% 73.80/46.67 inference(modus_ponens,[status(thm)],[25414, 25413])).
% 73.80/46.67 tff(25416,plain,
% 73.80/46.67 (~v112(constB175)),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25415, 210, 25412])).
% 73.80/46.67 tff(25417,plain,
% 73.80/46.67 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | v112(constB175) | (~v113(constB175)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | v112(constB175) | (~v113(constB175)))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25418,plain,
% 73.80/46.67 ((v26(constB175) | (~v113(constB175)) | v112(constB175)) <=> (v26(constB175) | v112(constB175) | (~v113(constB175)))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25419,plain,
% 73.80/46.67 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | v112(constB175) | (~v113(constB175))))),
% 73.80/46.67 inference(monotonicity,[status(thm)],[25418])).
% 73.80/46.67 tff(25420,plain,
% 73.80/46.67 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | v112(constB175) | (~v113(constB175)))),
% 73.80/46.67 inference(transitivity,[status(thm)],[25419, 25417])).
% 73.80/46.67 tff(25421,plain,
% 73.80/46.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))),
% 73.80/46.67 inference(quant_inst,[status(thm)],[])).
% 73.80/46.67 tff(25422,plain,
% 73.80/46.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | v112(constB175) | (~v113(constB175))),
% 73.80/46.67 inference(modus_ponens,[status(thm)],[25421, 25420])).
% 73.80/46.67 tff(25423,plain,
% 73.80/46.67 (v112(constB175) | (~v113(constB175))),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25422, 301, 25323])).
% 73.80/46.67 tff(25424,plain,
% 73.80/46.67 (~v113(constB175)),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25423, 25416])).
% 73.80/46.67 tff(25425,plain,
% 73.80/46.67 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB175) | (~v114(constB175)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB175) | (~v114(constB175)))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25426,plain,
% 73.80/46.67 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB175) | (~v114(constB175)))),
% 73.80/46.67 inference(quant_inst,[status(thm)],[])).
% 73.80/46.67 tff(25427,plain,
% 73.80/46.67 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB175) | (~v114(constB175))),
% 73.80/46.67 inference(modus_ponens,[status(thm)],[25426, 25425])).
% 73.80/46.67 tff(25428,plain,
% 73.80/46.67 ($false),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25427, 287, 25424, 25352])).
% 73.80/46.67 tff(25429,plain,((~v122(constB175)) | (~v90(constB176, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 73.80/46.67 tff(25430,plain,
% 73.80/46.67 (~v90(constB176, bitIndex0)),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25429, 25315])).
% 73.80/46.67 tff(25431,plain,
% 73.80/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB175, bitIndex0)) | (~nextState(constB175, constB176)) | v100(constB176) | v90(constB176, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB175, bitIndex0)) | (~nextState(constB175, constB176)) | v100(constB176) | v90(constB176, bitIndex0))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25432,plain,
% 73.80/46.67 (((~nextState(constB175, constB176)) | (~v90(constB175, bitIndex0)) | v100(constB176) | v90(constB176, bitIndex0)) <=> ((~v90(constB175, bitIndex0)) | (~nextState(constB175, constB176)) | v100(constB176) | v90(constB176, bitIndex0))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25433,plain,
% 73.80/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB175, constB176)) | (~v90(constB175, bitIndex0)) | v100(constB176) | v90(constB176, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB175, bitIndex0)) | (~nextState(constB175, constB176)) | v100(constB176) | v90(constB176, bitIndex0)))),
% 73.80/46.67 inference(monotonicity,[status(thm)],[25432])).
% 73.80/46.67 tff(25434,plain,
% 73.80/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB175, constB176)) | (~v90(constB175, bitIndex0)) | v100(constB176) | v90(constB176, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB175, bitIndex0)) | (~nextState(constB175, constB176)) | v100(constB176) | v90(constB176, bitIndex0))),
% 73.80/46.67 inference(transitivity,[status(thm)],[25433, 25431])).
% 73.80/46.67 tff(25435,plain,
% 73.80/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB175, constB176)) | (~v90(constB175, bitIndex0)) | v100(constB176) | v90(constB176, bitIndex0))),
% 73.80/46.67 inference(quant_inst,[status(thm)],[])).
% 73.80/46.67 tff(25436,plain,
% 73.80/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB175, bitIndex0)) | (~nextState(constB175, constB176)) | v100(constB176) | v90(constB176, bitIndex0)),
% 73.80/46.67 inference(modus_ponens,[status(thm)],[25435, 25434])).
% 73.80/46.67 tff(25437,plain,
% 73.80/46.67 ((~v90(constB175, bitIndex0)) | v100(constB176) | v90(constB176, bitIndex0)),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25436, 437, 25334])).
% 73.80/46.67 tff(25438,plain,
% 73.80/46.67 (v100(constB176)),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25437, 25430, 25310])).
% 73.80/46.67 tff(25439,plain,
% 73.80/46.67 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25440,plain,
% 73.80/46.67 (((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1)) <=> ((~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25441,plain,
% 73.80/46.67 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176))))),
% 73.80/46.67 inference(monotonicity,[status(thm)],[25440])).
% 73.80/46.67 tff(25442,plain,
% 73.80/46.67 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))),
% 73.80/46.67 inference(transitivity,[status(thm)],[25441, 25439])).
% 73.80/46.67 tff(25443,plain,
% 73.80/46.67 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1))),
% 73.80/46.67 inference(quant_inst,[status(thm)],[])).
% 73.80/46.67 tff(25444,plain,
% 73.80/46.67 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176))),
% 73.80/46.67 inference(modus_ponens,[status(thm)],[25443, 25442])).
% 73.80/46.67 tff(25445,plain,
% 73.80/46.67 ((~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1)),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25444, 603, 25438])).
% 73.80/46.67 tff(25446,plain,
% 73.80/46.67 (~v90(constB176, bitIndex1)),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25445, 25339])).
% 73.80/46.67 tff(25447,plain,
% 73.80/46.67 ((~v1(constB177)) <=> (~v1(constB177))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25448,axiom,(~v1(constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_177_1_1')).
% 73.80/46.67 tff(25449,plain,
% 73.80/46.67 (~v1(constB177)),
% 73.80/46.67 inference(modus_ponens,[status(thm)],[25448, 25447])).
% 73.80/46.67 tff(25450,plain,
% 73.80/46.67 (nextState(constB176, constB177) <=> nextState(constB176, constB177)),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25451,axiom,(nextState(constB176, constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_176_1')).
% 73.80/46.67 tff(25452,plain,
% 73.80/46.67 (nextState(constB176, constB177)),
% 73.80/46.67 inference(modus_ponens,[status(thm)],[25451, 25450])).
% 73.80/46.67 tff(25453,plain,
% 73.80/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25454,plain,
% 73.80/46.67 (((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177)) <=> (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25455,plain,
% 73.80/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177))))),
% 73.80/46.67 inference(monotonicity,[status(thm)],[25454])).
% 73.80/46.67 tff(25456,plain,
% 73.80/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 73.80/46.67 inference(transitivity,[status(thm)],[25455, 25453])).
% 73.80/46.67 tff(25457,plain,
% 73.80/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))),
% 73.80/46.67 inference(quant_inst,[status(thm)],[])).
% 73.80/46.67 tff(25458,plain,
% 73.80/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177))),
% 73.80/46.67 inference(modus_ponens,[status(thm)],[25457, 25456])).
% 73.80/46.67 tff(25459,plain,
% 73.80/46.67 (~v101(constB177)),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25458, 56, 25452, 25449])).
% 73.80/46.67 tff(25460,plain,
% 73.80/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25461,plain,
% 73.80/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))),
% 73.80/46.67 inference(quant_inst,[status(thm)],[])).
% 73.80/46.67 tff(25462,plain,
% 73.80/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177))),
% 73.80/46.67 inference(modus_ponens,[status(thm)],[25461, 25460])).
% 73.80/46.67 tff(25463,plain,
% 73.80/46.67 (v101(constB177) | (~v100(constB177))),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25462, 73, 25452])).
% 73.80/46.67 tff(25464,plain,
% 73.80/46.67 (~v100(constB177)),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25463, 25459])).
% 73.80/46.67 tff(25465,plain,
% 73.80/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25466,plain,
% 73.80/46.67 (((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1))) <=> (v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25467,plain,
% 73.80/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1))))),
% 73.80/46.67 inference(monotonicity,[status(thm)],[25466])).
% 73.80/46.67 tff(25468,plain,
% 73.80/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 73.80/46.67 inference(transitivity,[status(thm)],[25467, 25465])).
% 73.80/46.67 tff(25469,plain,
% 73.80/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 73.80/46.67 inference(quant_inst,[status(thm)],[])).
% 73.80/46.67 tff(25470,plain,
% 73.80/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1))),
% 73.80/46.67 inference(modus_ponens,[status(thm)],[25469, 25468])).
% 73.80/46.67 tff(25471,plain,
% 73.80/46.67 (v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1))),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25470, 109, 25452])).
% 73.80/46.67 tff(25472,plain,
% 73.80/46.67 (v90(constB176, bitIndex1) | (~v90(constB177, bitIndex1))),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25471, 25464])).
% 73.80/46.67 tff(25473,plain,
% 73.80/46.67 (~v90(constB177, bitIndex1)),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25472, 25446])).
% 73.80/46.67 tff(25474,plain,
% 73.80/46.67 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB175)) | v130(constB175, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB175)) | v130(constB175, bitIndex2))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25475,plain,
% 73.80/46.67 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB175)) | v130(constB175, bitIndex2))),
% 73.80/46.67 inference(quant_inst,[status(thm)],[])).
% 73.80/46.67 tff(25476,plain,
% 73.80/46.67 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB175)) | v130(constB175, bitIndex2)),
% 73.80/46.67 inference(modus_ponens,[status(thm)],[25475, 25474])).
% 73.80/46.67 tff(25477,plain,
% 73.80/46.67 (v130(constB175, bitIndex2)),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25476, 1290, 25315])).
% 73.80/46.67 tff(25478,plain,
% 73.80/46.67 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB175) | (~v130(constB175, bitIndex2)) | v127(constB175, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB175) | (~v130(constB175, bitIndex2)) | v127(constB175, bitIndex2))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25479,plain,
% 73.80/46.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB175) | (~v130(constB175, bitIndex2)) | v127(constB175, bitIndex2))),
% 73.80/46.67 inference(quant_inst,[status(thm)],[])).
% 73.80/46.67 tff(25480,plain,
% 73.80/46.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB175) | (~v130(constB175, bitIndex2)) | v127(constB175, bitIndex2)),
% 73.80/46.67 inference(modus_ponens,[status(thm)],[25479, 25478])).
% 73.80/46.67 tff(25481,plain,
% 73.80/46.67 ((~v130(constB175, bitIndex2)) | v127(constB175, bitIndex2)),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25480, 1304, 25323])).
% 73.80/46.67 tff(25482,plain,
% 73.80/46.67 (v127(constB175, bitIndex2)),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25481, 25477])).
% 73.80/46.67 tff(25483,plain,
% 73.80/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB175, constB176)) | (~v127(constB175, bitIndex2)) | v129(constB176, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB175, constB176)) | (~v127(constB175, bitIndex2)) | v129(constB176, bitIndex2))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25484,plain,
% 73.80/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB175, constB176)) | (~v127(constB175, bitIndex2)) | v129(constB176, bitIndex2))),
% 73.80/46.67 inference(quant_inst,[status(thm)],[])).
% 73.80/46.67 tff(25485,plain,
% 73.80/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB175, constB176)) | (~v127(constB175, bitIndex2)) | v129(constB176, bitIndex2)),
% 73.80/46.67 inference(modus_ponens,[status(thm)],[25484, 25483])).
% 73.80/46.67 tff(25486,plain,
% 73.80/46.67 ((~v127(constB175, bitIndex2)) | v129(constB176, bitIndex2)),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25485, 1319, 25334])).
% 73.80/46.67 tff(25487,plain,
% 73.80/46.67 (v129(constB176, bitIndex2)),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25486, 25482])).
% 73.80/46.67 tff(25488,plain,
% 73.80/46.67 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2)) | (~v100(constB176)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2)) | (~v100(constB176)))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25489,plain,
% 73.80/46.67 ((v90(constB176, bitIndex2) | (~v100(constB176)) | (~v129(constB176, bitIndex2))) <=> (v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2)) | (~v100(constB176)))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25490,plain,
% 73.80/46.67 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~v100(constB176)) | (~v129(constB176, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2)) | (~v100(constB176))))),
% 73.80/46.67 inference(monotonicity,[status(thm)],[25489])).
% 73.80/46.67 tff(25491,plain,
% 73.80/46.67 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~v100(constB176)) | (~v129(constB176, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2)) | (~v100(constB176)))),
% 73.80/46.67 inference(transitivity,[status(thm)],[25490, 25488])).
% 73.80/46.67 tff(25492,plain,
% 73.80/46.67 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB176, bitIndex2) | (~v100(constB176)) | (~v129(constB176, bitIndex2)))),
% 73.80/46.67 inference(quant_inst,[status(thm)],[])).
% 73.80/46.67 tff(25493,plain,
% 73.80/46.67 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2)) | (~v100(constB176))),
% 73.80/46.67 inference(modus_ponens,[status(thm)],[25492, 25491])).
% 73.80/46.67 tff(25494,plain,
% 73.80/46.67 (v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2))),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25493, 1334, 25438])).
% 73.80/46.67 tff(25495,plain,
% 73.80/46.67 (v90(constB176, bitIndex2)),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25494, 25487])).
% 73.80/46.67 tff(25496,plain,
% 73.80/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex2))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25497,plain,
% 73.80/46.67 (((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex2)) | v100(constB177) | v90(constB177, bitIndex2)) <=> ((~v90(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex2))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25498,plain,
% 73.80/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex2)) | v100(constB177) | v90(constB177, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex2)))),
% 73.80/46.67 inference(monotonicity,[status(thm)],[25497])).
% 73.80/46.67 tff(25499,plain,
% 73.80/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex2)) | v100(constB177) | v90(constB177, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex2))),
% 73.80/46.67 inference(transitivity,[status(thm)],[25498, 25496])).
% 73.80/46.67 tff(25500,plain,
% 73.80/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex2)) | v100(constB177) | v90(constB177, bitIndex2))),
% 73.80/46.67 inference(quant_inst,[status(thm)],[])).
% 73.80/46.67 tff(25501,plain,
% 73.80/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex2)),
% 73.80/46.67 inference(modus_ponens,[status(thm)],[25500, 25499])).
% 73.80/46.67 tff(25502,plain,
% 73.80/46.67 ((~v90(constB176, bitIndex2)) | v100(constB177) | v90(constB177, bitIndex2)),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25501, 1370, 25452])).
% 73.80/46.67 tff(25503,plain,
% 73.80/46.67 ((~v90(constB176, bitIndex2)) | v90(constB177, bitIndex2)),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25502, 25464])).
% 73.80/46.67 tff(25504,plain,
% 73.80/46.67 (v90(constB177, bitIndex2)),
% 73.80/46.67 inference(unit_resolution,[status(thm)],[25503, 25495])).
% 73.80/46.67 tff(25505,plain,
% 73.80/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex0)))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25506,plain,
% 73.80/46.67 (((~nextState(constB176, constB177)) | v90(constB176, bitIndex0) | v100(constB177) | (~v90(constB177, bitIndex0))) <=> (v90(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex0)))),
% 73.80/46.67 inference(rewrite,[status(thm)],[])).
% 73.80/46.67 tff(25507,plain,
% 73.80/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex0) | v100(constB177) | (~v90(constB177, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex0))))),
% 73.80/46.67 inference(monotonicity,[status(thm)],[25506])).
% 73.80/46.67 tff(25508,plain,
% 73.80/46.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex0) | v100(constB177) | (~v90(constB177, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex0)))),
% 73.80/46.67 inference(transitivity,[status(thm)],[25507, 25505])).
% 73.80/46.67 tff(25509,plain,
% 73.80/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB176, constB177)) | v90(constB176, bitIndex0) | v100(constB177) | (~v90(constB177, bitIndex0)))),
% 73.80/46.67 inference(quant_inst,[status(thm)],[])).
% 73.80/46.67 tff(25510,plain,
% 73.80/46.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex0))),
% 73.80/46.67 inference(modus_ponens,[status(thm)],[25509, 25508])).
% 73.80/46.67 tff(25511,plain,
% 73.80/46.67 (v90(constB176, bitIndex0) | v100(constB177) | (~v90(constB177, bitIndex0))),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25510, 130, 25452])).
% 73.80/46.68 tff(25512,plain,
% 73.80/46.68 (v90(constB176, bitIndex0) | (~v90(constB177, bitIndex0))),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25511, 25464])).
% 73.80/46.68 tff(25513,plain,
% 73.80/46.68 (~v90(constB177, bitIndex0)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25512, 25430])).
% 73.80/46.68 tff(25514,plain,
% 73.80/46.68 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)) | v123(constB177))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)) | v123(constB177))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25515,plain,
% 73.80/46.68 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)) | v123(constB177))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25516,plain,
% 73.80/46.68 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)) | v123(constB177)),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25515, 25514])).
% 73.80/46.68 tff(25517,plain,
% 73.80/46.68 (v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)) | v123(constB177)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25516, 1477, 25513])).
% 73.80/46.68 tff(25518,plain,
% 73.80/46.68 (v123(constB177)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25517, 25504, 25473])).
% 73.80/46.68 tff(25519,plain,
% 73.80/46.68 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB177)) | (~v130(constB177, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB177)) | (~v130(constB177, bitIndex1)))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25520,plain,
% 73.80/46.68 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB177)) | (~v130(constB177, bitIndex1)))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25521,plain,
% 73.80/46.68 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB177)) | (~v130(constB177, bitIndex1))),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25520, 25519])).
% 73.80/46.68 tff(25522,plain,
% 73.80/46.68 (~v130(constB177, bitIndex1)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25521, 1622, 25518])).
% 73.80/46.68 tff(25523,assumption,(v26(constB177)), introduced(assumption)).
% 73.80/46.68 tff(25524,plain,
% 73.80/46.68 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB177))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25525,plain,
% 73.80/46.68 ($false),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25524, 37, 25523])).
% 73.80/46.68 tff(25526,plain,(~v26(constB177)), inference(lemma,lemma(discharge,[]))).
% 73.80/46.68 tff(25527,plain,
% 73.80/46.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25528,plain,
% 73.80/46.68 ((v26(constB177) | v130(constB177, bitIndex1) | (~v127(constB177, bitIndex1))) <=> ((~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25529,plain,
% 73.80/46.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB177) | v130(constB177, bitIndex1) | (~v127(constB177, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1)))),
% 73.80/46.68 inference(monotonicity,[status(thm)],[25528])).
% 73.80/46.68 tff(25530,plain,
% 73.80/46.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB177) | v130(constB177, bitIndex1) | (~v127(constB177, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1))),
% 73.80/46.68 inference(transitivity,[status(thm)],[25529, 25527])).
% 73.80/46.68 tff(25531,plain,
% 73.80/46.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB177) | v130(constB177, bitIndex1) | (~v127(constB177, bitIndex1)))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25532,plain,
% 73.80/46.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB177, bitIndex1)) | v26(constB177) | v130(constB177, bitIndex1)),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25531, 25530])).
% 73.80/46.68 tff(25533,plain,
% 73.80/46.68 ((~v127(constB177, bitIndex1)) | v130(constB177, bitIndex1)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25532, 555, 25526])).
% 73.80/46.68 tff(25534,plain,
% 73.80/46.68 (~v127(constB177, bitIndex1)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25533, 25522])).
% 73.80/46.68 tff(25535,plain,
% 73.80/46.68 (nextState(constB177, constB178) <=> nextState(constB177, constB178)),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25536,axiom,(nextState(constB177, constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_177_1')).
% 73.80/46.68 tff(25537,plain,
% 73.80/46.68 (nextState(constB177, constB178)),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25536, 25535])).
% 73.80/46.68 tff(25538,plain,
% 73.80/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB177, constB178)) | v127(constB177, bitIndex1) | (~v129(constB178, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB177, constB178)) | v127(constB177, bitIndex1) | (~v129(constB178, bitIndex1)))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25539,plain,
% 73.80/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB177, constB178)) | v127(constB177, bitIndex1) | (~v129(constB178, bitIndex1)))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25540,plain,
% 73.80/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB177, constB178)) | v127(constB177, bitIndex1) | (~v129(constB178, bitIndex1))),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25539, 25538])).
% 73.80/46.68 tff(25541,plain,
% 73.80/46.68 (v127(constB177, bitIndex1) | (~v129(constB178, bitIndex1))),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25540, 588, 25537])).
% 73.80/46.68 tff(25542,plain,
% 73.80/46.68 (~v129(constB178, bitIndex1)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25541, 25534])).
% 73.80/46.68 tff(25543,assumption,(~v90(constB177, bitIndex0)), introduced(assumption)).
% 73.80/46.68 tff(25544,assumption,(~v100(constB178)), introduced(assumption)).
% 73.80/46.68 tff(25545,assumption,(~v90(constB178, bitIndex2)), introduced(assumption)).
% 73.80/46.68 tff(25546,plain,
% 73.80/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB177, bitIndex2)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB177, bitIndex2)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex2))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25547,plain,
% 73.80/46.68 (((~nextState(constB177, constB178)) | (~v90(constB177, bitIndex2)) | v100(constB178) | v90(constB178, bitIndex2)) <=> ((~v90(constB177, bitIndex2)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex2))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25548,plain,
% 73.80/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB177, constB178)) | (~v90(constB177, bitIndex2)) | v100(constB178) | v90(constB178, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB177, bitIndex2)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex2)))),
% 73.80/46.68 inference(monotonicity,[status(thm)],[25547])).
% 73.80/46.68 tff(25549,plain,
% 73.80/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB177, constB178)) | (~v90(constB177, bitIndex2)) | v100(constB178) | v90(constB178, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB177, bitIndex2)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex2))),
% 73.80/46.68 inference(transitivity,[status(thm)],[25548, 25546])).
% 73.80/46.68 tff(25550,plain,
% 73.80/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB177, constB178)) | (~v90(constB177, bitIndex2)) | v100(constB178) | v90(constB178, bitIndex2))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25551,plain,
% 73.80/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB177, bitIndex2)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex2)),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25550, 25549])).
% 73.80/46.68 tff(25552,plain,
% 73.80/46.68 ((~v90(constB177, bitIndex2)) | v100(constB178) | v90(constB178, bitIndex2)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25551, 1370, 25537])).
% 73.80/46.68 tff(25553,plain,
% 73.80/46.68 (~v90(constB177, bitIndex2)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25552, 25545, 25544])).
% 73.80/46.68 tff(25554,assumption,(~v90(constB178, bitIndex0)), introduced(assumption)).
% 73.80/46.68 tff(25555,plain,
% 73.80/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB177, bitIndex0)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB177, bitIndex0)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex0))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25556,plain,
% 73.80/46.68 (((~nextState(constB177, constB178)) | (~v90(constB177, bitIndex0)) | v100(constB178) | v90(constB178, bitIndex0)) <=> ((~v90(constB177, bitIndex0)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex0))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25557,plain,
% 73.80/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB177, constB178)) | (~v90(constB177, bitIndex0)) | v100(constB178) | v90(constB178, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB177, bitIndex0)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex0)))),
% 73.80/46.68 inference(monotonicity,[status(thm)],[25556])).
% 73.80/46.68 tff(25558,plain,
% 73.80/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB177, constB178)) | (~v90(constB177, bitIndex0)) | v100(constB178) | v90(constB178, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB177, bitIndex0)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex0))),
% 73.80/46.68 inference(transitivity,[status(thm)],[25557, 25555])).
% 73.80/46.68 tff(25559,plain,
% 73.80/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB177, constB178)) | (~v90(constB177, bitIndex0)) | v100(constB178) | v90(constB178, bitIndex0))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25560,plain,
% 73.80/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB177, bitIndex0)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex0)),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25559, 25558])).
% 73.80/46.68 tff(25561,plain,
% 73.80/46.68 ((~v90(constB177, bitIndex0)) | v100(constB178) | v90(constB178, bitIndex0)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25560, 437, 25537])).
% 73.80/46.68 tff(25562,plain,
% 73.80/46.68 (~v90(constB177, bitIndex0)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25561, 25554, 25544])).
% 73.80/46.68 tff(25563,assumption,(~v90(constB178, bitIndex1)), introduced(assumption)).
% 73.80/46.68 tff(25564,plain,
% 73.80/46.68 (~v90(constB177, bitIndex2)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25552, 25544, 25545])).
% 73.80/46.68 tff(25565,plain,
% 73.80/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB177, bitIndex1)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB177, bitIndex1)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex1))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25566,plain,
% 73.80/46.68 (((~nextState(constB177, constB178)) | (~v90(constB177, bitIndex1)) | v100(constB178) | v90(constB178, bitIndex1)) <=> ((~v90(constB177, bitIndex1)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex1))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25567,plain,
% 73.80/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB177, constB178)) | (~v90(constB177, bitIndex1)) | v100(constB178) | v90(constB178, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB177, bitIndex1)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex1)))),
% 73.80/46.68 inference(monotonicity,[status(thm)],[25566])).
% 73.80/46.68 tff(25568,plain,
% 73.80/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB177, constB178)) | (~v90(constB177, bitIndex1)) | v100(constB178) | v90(constB178, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB177, bitIndex1)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex1))),
% 73.80/46.68 inference(transitivity,[status(thm)],[25567, 25565])).
% 73.80/46.68 tff(25569,plain,
% 73.80/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB177, constB178)) | (~v90(constB177, bitIndex1)) | v100(constB178) | v90(constB178, bitIndex1))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25570,plain,
% 73.80/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB177, bitIndex1)) | (~nextState(constB177, constB178)) | v100(constB178) | v90(constB178, bitIndex1)),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25569, 25568])).
% 73.80/46.68 tff(25571,plain,
% 73.80/46.68 ((~v90(constB177, bitIndex1)) | v100(constB178) | v90(constB178, bitIndex1)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25570, 872, 25537])).
% 73.80/46.68 tff(25572,plain,
% 73.80/46.68 (~v90(constB177, bitIndex1)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25571, 25544, 25563])).
% 73.80/46.68 tff(25573,plain,
% 73.80/46.68 (~v90(constB177, bitIndex0)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25561, 25544, 25554])).
% 73.80/46.68 tff(25574,plain,
% 73.80/46.68 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB177) | v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB177) | v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25575,plain,
% 73.80/46.68 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB177) | v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25576,plain,
% 73.80/46.68 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB177) | v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2)),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25575, 25574])).
% 73.80/46.68 tff(25577,plain,
% 73.80/46.68 (v119(constB177)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25576, 151, 25573, 25572, 25564])).
% 73.80/46.68 tff(25578,plain,
% 73.80/46.68 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB177) | (~v119(constB177)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB177) | (~v119(constB177)))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25579,plain,
% 73.80/46.68 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB177) | (~v119(constB177)))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25580,plain,
% 73.80/46.68 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB177) | (~v119(constB177))),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25579, 25578])).
% 73.80/46.68 tff(25581,plain,
% 73.80/46.68 (v118(constB177)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25580, 232, 25577])).
% 73.80/46.68 tff(25582,plain,
% 73.80/46.68 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB177) | (~v118(constB177)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB177) | (~v118(constB177)))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25583,plain,
% 73.80/46.68 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB177) | (~v118(constB177)))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25584,plain,
% 73.80/46.68 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB177) | (~v118(constB177))),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25583, 25582])).
% 73.80/46.68 tff(25585,plain,
% 73.80/46.68 (v117(constB177)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25584, 243, 25581])).
% 73.80/46.68 tff(25586,plain,
% 73.80/46.68 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB177) | (~v117(constB177)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB177) | (~v117(constB177)))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25587,plain,
% 73.80/46.68 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB177) | (~v117(constB177)))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25588,plain,
% 73.80/46.68 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB177) | (~v117(constB177))),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25587, 25586])).
% 73.80/46.68 tff(25589,plain,
% 73.80/46.68 (v116(constB177)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25588, 254, 25585])).
% 73.80/46.68 tff(25590,plain,
% 73.80/46.68 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25591,plain,
% 73.80/46.68 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25592,plain,
% 73.80/46.68 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178))),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25591, 25590])).
% 73.80/46.68 tff(25593,plain,
% 73.80/46.68 (~v104(constB178)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25592, 335, 25537, 25449])).
% 73.80/46.68 tff(25594,plain,
% 73.80/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25595,plain,
% 73.80/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25596,plain,
% 73.80/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v102(constB178) | v104(constB178)),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25595, 25594])).
% 73.80/46.68 tff(25597,plain,
% 73.80/46.68 (v102(constB178) | v104(constB178)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25596, 349, 25537])).
% 73.80/46.68 tff(25598,plain,
% 73.80/46.68 (v102(constB178)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25597, 25593])).
% 73.80/46.68 tff(25599,plain,
% 73.80/46.68 (v1(constB178) <=> v1(constB178)),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25600,axiom,(v1(constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_178_1')).
% 73.80/46.68 tff(25601,plain,
% 73.80/46.68 (v1(constB178)),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25600, 25599])).
% 73.80/46.68 tff(25602,plain,
% 73.80/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25603,plain,
% 73.80/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25604,plain,
% 73.80/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178))),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25603, 25602])).
% 73.80/46.68 tff(25605,plain,
% 73.80/46.68 (v101(constB178) | (~v102(constB178))),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25604, 367, 25537, 25601])).
% 73.80/46.68 tff(25606,plain,
% 73.80/46.68 (v101(constB178)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25605, 25598])).
% 73.80/46.68 tff(25607,plain,
% 73.80/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25608,plain,
% 73.80/46.68 (((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178)) <=> ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25609,plain,
% 73.80/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178))))),
% 73.80/46.68 inference(monotonicity,[status(thm)],[25608])).
% 73.80/46.68 tff(25610,plain,
% 73.80/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 73.80/46.68 inference(transitivity,[status(thm)],[25609, 25607])).
% 73.80/46.68 tff(25611,plain,
% 73.80/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25612,plain,
% 73.80/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178))),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25611, 25610])).
% 73.80/46.68 tff(25613,plain,
% 73.80/46.68 (v100(constB178) | (~v101(constB178)) | (~v110(constB178))),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25612, 382, 25537])).
% 73.80/46.68 tff(25614,plain,
% 73.80/46.68 (v100(constB178) | (~v110(constB178))),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25613, 25606])).
% 73.80/46.68 tff(25615,plain,
% 73.80/46.68 (~v110(constB178)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25614, 25544])).
% 73.80/46.68 tff(25616,plain,
% 73.80/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25617,plain,
% 73.80/46.68 (((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178)) <=> ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25618,plain,
% 73.80/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177))))),
% 73.80/46.68 inference(monotonicity,[status(thm)],[25617])).
% 73.80/46.68 tff(25619,plain,
% 73.80/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 73.80/46.68 inference(transitivity,[status(thm)],[25618, 25616])).
% 73.80/46.68 tff(25620,plain,
% 73.80/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25621,plain,
% 73.80/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177))),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25620, 25619])).
% 73.80/46.68 tff(25622,plain,
% 73.80/46.68 (v110(constB178) | (~v108(constB177))),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25621, 317, 25537])).
% 73.80/46.68 tff(25623,plain,
% 73.80/46.68 (~v108(constB177)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25622, 25615])).
% 73.80/46.68 tff(25624,plain,
% 73.80/46.68 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB177) | (~v112(constB177)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB177) | (~v112(constB177)))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25625,plain,
% 73.80/46.68 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB177) | (~v112(constB177)))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25626,plain,
% 73.80/46.68 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB177) | (~v112(constB177))),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25625, 25624])).
% 73.80/46.68 tff(25627,plain,
% 73.80/46.68 (~v112(constB177)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25626, 210, 25623])).
% 73.80/46.68 tff(25628,plain,
% 73.80/46.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | (~v113(constB177)) | v112(constB177))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25629,plain,
% 73.80/46.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25630,plain,
% 73.80/46.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | (~v113(constB177)) | v112(constB177)),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25629, 25628])).
% 73.80/46.68 tff(25631,plain,
% 73.80/46.68 ((~v113(constB177)) | v112(constB177)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25630, 301, 25526])).
% 73.80/46.68 tff(25632,plain,
% 73.80/46.68 (~v113(constB177)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25631, 25627])).
% 73.80/46.68 tff(25633,plain,
% 73.80/46.68 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB177) | (~v114(constB177)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB177) | (~v114(constB177)))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25634,plain,
% 73.80/46.68 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB177) | (~v114(constB177)))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25635,plain,
% 73.80/46.68 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB177) | (~v114(constB177))),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25634, 25633])).
% 73.80/46.68 tff(25636,plain,
% 73.80/46.68 (~v114(constB177)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25635, 287, 25632])).
% 73.80/46.68 tff(25637,plain,
% 73.80/46.68 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB177) | (~v115(constB177)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB177) | (~v115(constB177)))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25638,plain,
% 73.80/46.68 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB177) | (~v115(constB177)))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25639,plain,
% 73.80/46.68 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB177) | (~v115(constB177))),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25638, 25637])).
% 73.80/46.68 tff(25640,plain,
% 73.80/46.68 (~v115(constB177)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25639, 276, 25636])).
% 73.80/46.68 tff(25641,plain,
% 73.80/46.68 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB177) | (~v116(constB177)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB177) | (~v116(constB177)))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25642,plain,
% 73.80/46.68 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB177) | (~v116(constB177)))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25643,plain,
% 73.80/46.68 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB177) | (~v116(constB177))),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25642, 25641])).
% 73.80/46.68 tff(25644,plain,
% 73.80/46.68 ($false),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25643, 265, 25640, 25589])).
% 73.80/46.68 tff(25645,plain,(v100(constB178) | v90(constB178, bitIndex2) | v90(constB178, bitIndex1) | v90(constB178, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.80/46.68 tff(25646,plain,
% 73.80/46.68 (v100(constB178)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25645, 25545, 25563, 25554])).
% 73.80/46.68 tff(25647,plain,
% 73.80/46.68 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1)) | (~v100(constB178)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1)) | (~v100(constB178)))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25648,plain,
% 73.80/46.68 ((v90(constB178, bitIndex1) | (~v100(constB178)) | (~v129(constB178, bitIndex1))) <=> (v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1)) | (~v100(constB178)))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25649,plain,
% 73.80/46.68 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~v100(constB178)) | (~v129(constB178, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1)) | (~v100(constB178))))),
% 73.80/46.68 inference(monotonicity,[status(thm)],[25648])).
% 73.80/46.68 tff(25650,plain,
% 73.80/46.68 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~v100(constB178)) | (~v129(constB178, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1)) | (~v100(constB178)))),
% 73.80/46.68 inference(transitivity,[status(thm)],[25649, 25647])).
% 73.80/46.68 tff(25651,plain,
% 73.80/46.68 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~v100(constB178)) | (~v129(constB178, bitIndex1)))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25652,plain,
% 73.80/46.68 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1)) | (~v100(constB178))),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25651, 25650])).
% 73.80/46.68 tff(25653,plain,
% 73.80/46.68 ((~v129(constB178, bitIndex1)) | (~v100(constB178))),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25652, 854, 25563])).
% 73.80/46.68 tff(25654,plain,
% 73.80/46.68 (~v129(constB178, bitIndex1)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25653, 25646])).
% 73.80/46.68 tff(25655,plain,
% 73.80/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex1)) | v129(constB178, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex1)) | v129(constB178, bitIndex1))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25656,plain,
% 73.80/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex1)) | v129(constB178, bitIndex1))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25657,plain,
% 73.80/46.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex1)) | v129(constB178, bitIndex1)),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25656, 25655])).
% 73.80/46.68 tff(25658,plain,
% 73.80/46.68 ((~v127(constB177, bitIndex1)) | v129(constB178, bitIndex1)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25657, 839, 25537])).
% 73.80/46.68 tff(25659,plain,
% 73.80/46.68 (~v127(constB177, bitIndex1)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25658, 25654])).
% 73.80/46.68 tff(25660,plain,
% 73.80/46.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB177) | (~v130(constB177, bitIndex1)) | v127(constB177, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB177) | (~v130(constB177, bitIndex1)) | v127(constB177, bitIndex1))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25661,plain,
% 73.80/46.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB177) | (~v130(constB177, bitIndex1)) | v127(constB177, bitIndex1))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25662,plain,
% 73.80/46.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB177) | (~v130(constB177, bitIndex1)) | v127(constB177, bitIndex1)),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25661, 25660])).
% 73.80/46.68 tff(25663,plain,
% 73.80/46.68 ((~v130(constB177, bitIndex1)) | v127(constB177, bitIndex1)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25662, 824, 25526])).
% 73.80/46.68 tff(25664,plain,
% 73.80/46.68 (~v130(constB177, bitIndex1)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25663, 25659])).
% 73.80/46.68 tff(25665,plain,
% 73.80/46.68 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB177)) | v130(constB177, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB177)) | v130(constB177, bitIndex1))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25666,plain,
% 73.80/46.68 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB177)) | v130(constB177, bitIndex1))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25667,plain,
% 73.80/46.68 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB177)) | v130(constB177, bitIndex1)),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25666, 25665])).
% 73.80/46.68 tff(25668,plain,
% 73.80/46.68 (~v121(constB177)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25667, 1121, 25664])).
% 73.80/46.68 tff(25669,plain,
% 73.80/46.68 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0)) | (~v100(constB178)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0)) | (~v100(constB178)))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25670,plain,
% 73.80/46.68 ((v90(constB178, bitIndex0) | (~v100(constB178)) | (~v129(constB178, bitIndex0))) <=> (v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0)) | (~v100(constB178)))),
% 73.80/46.68 inference(rewrite,[status(thm)],[])).
% 73.80/46.68 tff(25671,plain,
% 73.80/46.68 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~v100(constB178)) | (~v129(constB178, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0)) | (~v100(constB178))))),
% 73.80/46.68 inference(monotonicity,[status(thm)],[25670])).
% 73.80/46.68 tff(25672,plain,
% 73.80/46.68 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~v100(constB178)) | (~v129(constB178, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0)) | (~v100(constB178)))),
% 73.80/46.68 inference(transitivity,[status(thm)],[25671, 25669])).
% 73.80/46.68 tff(25673,plain,
% 73.80/46.68 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB178, bitIndex0) | (~v100(constB178)) | (~v129(constB178, bitIndex0)))),
% 73.80/46.68 inference(quant_inst,[status(thm)],[])).
% 73.80/46.68 tff(25674,plain,
% 73.80/46.68 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0)) | (~v100(constB178))),
% 73.80/46.68 inference(modus_ponens,[status(thm)],[25673, 25672])).
% 73.80/46.68 tff(25675,plain,
% 73.80/46.68 ((~v129(constB178, bitIndex0)) | (~v100(constB178))),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25674, 401, 25554])).
% 73.80/46.68 tff(25676,plain,
% 73.80/46.68 (~v129(constB178, bitIndex0)),
% 73.80/46.68 inference(unit_resolution,[status(thm)],[25675, 25646])).
% 73.80/46.68 tff(25677,plain,
% 73.80/46.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex0)) | v129(constB178, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex0)) | v129(constB178, bitIndex0))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25678,plain,
% 73.80/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex0)) | v129(constB178, bitIndex0))),
% 73.80/46.69 inference(quant_inst,[status(thm)],[])).
% 73.80/46.69 tff(25679,plain,
% 73.80/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex0)) | v129(constB178, bitIndex0)),
% 73.80/46.69 inference(modus_ponens,[status(thm)],[25678, 25677])).
% 73.80/46.69 tff(25680,plain,
% 73.80/46.69 ((~v127(constB177, bitIndex0)) | v129(constB178, bitIndex0)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25679, 197, 25537])).
% 73.80/46.69 tff(25681,plain,
% 73.80/46.69 (~v127(constB177, bitIndex0)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25680, 25676])).
% 73.80/46.69 tff(25682,plain,
% 73.80/46.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB177) | (~v130(constB177, bitIndex0)) | v127(constB177, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB177) | (~v130(constB177, bitIndex0)) | v127(constB177, bitIndex0))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25683,plain,
% 73.80/46.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB177) | (~v130(constB177, bitIndex0)) | v127(constB177, bitIndex0))),
% 73.80/46.69 inference(quant_inst,[status(thm)],[])).
% 73.80/46.69 tff(25684,plain,
% 73.80/46.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB177) | (~v130(constB177, bitIndex0)) | v127(constB177, bitIndex0)),
% 73.80/46.69 inference(modus_ponens,[status(thm)],[25683, 25682])).
% 73.80/46.69 tff(25685,plain,
% 73.80/46.69 ((~v130(constB177, bitIndex0)) | v127(constB177, bitIndex0)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25684, 179, 25526])).
% 73.80/46.69 tff(25686,plain,
% 73.80/46.69 (~v130(constB177, bitIndex0)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25685, 25681])).
% 73.80/46.69 tff(25687,plain,
% 73.80/46.69 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB177)) | v130(constB177, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB177)) | v130(constB177, bitIndex0))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25688,plain,
% 73.80/46.69 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB177)) | v130(constB177, bitIndex0))),
% 73.80/46.69 inference(quant_inst,[status(thm)],[])).
% 73.80/46.69 tff(25689,plain,
% 73.80/46.69 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB177)) | v130(constB177, bitIndex0)),
% 73.80/46.69 inference(modus_ponens,[status(thm)],[25688, 25687])).
% 73.80/46.69 tff(25690,plain,
% 73.80/46.69 (~v123(constB177)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25689, 1666, 25686])).
% 73.80/46.69 tff(25691,plain,
% 73.80/46.69 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB177)) | v130(constB177, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB177)) | v130(constB177, bitIndex1))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25692,plain,
% 73.80/46.69 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB177)) | v130(constB177, bitIndex1))),
% 73.80/46.69 inference(quant_inst,[status(thm)],[])).
% 73.80/46.69 tff(25693,plain,
% 73.80/46.69 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB177)) | v130(constB177, bitIndex1)),
% 73.80/46.69 inference(modus_ponens,[status(thm)],[25692, 25691])).
% 73.80/46.69 tff(25694,plain,
% 73.80/46.69 (~v124(constB177)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25693, 1867, 25664])).
% 73.80/46.69 tff(25695,plain,
% 73.80/46.69 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB177)) | v130(constB177, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB177)) | v130(constB177, bitIndex1))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25696,plain,
% 73.80/46.69 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB177)) | v130(constB177, bitIndex1))),
% 73.80/46.69 inference(quant_inst,[status(thm)],[])).
% 73.80/46.69 tff(25697,plain,
% 73.80/46.69 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB177)) | v130(constB177, bitIndex1)),
% 73.80/46.69 inference(modus_ponens,[status(thm)],[25696, 25695])).
% 73.80/46.69 tff(25698,plain,
% 73.80/46.69 (~v120(constB177)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25697, 810, 25664])).
% 73.80/46.69 tff(25699,plain,
% 73.80/46.69 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2)) | (~v100(constB178)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2)) | (~v100(constB178)))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25700,plain,
% 73.80/46.69 ((v90(constB178, bitIndex2) | (~v100(constB178)) | (~v129(constB178, bitIndex2))) <=> (v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2)) | (~v100(constB178)))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25701,plain,
% 73.80/46.69 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~v100(constB178)) | (~v129(constB178, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2)) | (~v100(constB178))))),
% 73.80/46.69 inference(monotonicity,[status(thm)],[25700])).
% 73.80/46.69 tff(25702,plain,
% 73.80/46.69 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~v100(constB178)) | (~v129(constB178, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2)) | (~v100(constB178)))),
% 73.80/46.69 inference(transitivity,[status(thm)],[25701, 25699])).
% 73.80/46.69 tff(25703,plain,
% 73.80/46.69 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB178, bitIndex2) | (~v100(constB178)) | (~v129(constB178, bitIndex2)))),
% 73.80/46.69 inference(quant_inst,[status(thm)],[])).
% 73.80/46.69 tff(25704,plain,
% 73.80/46.69 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2)) | (~v100(constB178))),
% 73.80/46.69 inference(modus_ponens,[status(thm)],[25703, 25702])).
% 73.80/46.69 tff(25705,plain,
% 73.80/46.69 ((~v129(constB178, bitIndex2)) | (~v100(constB178))),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25704, 1334, 25545])).
% 73.80/46.69 tff(25706,plain,
% 73.80/46.69 (~v129(constB178, bitIndex2)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25705, 25646])).
% 73.80/46.69 tff(25707,plain,
% 73.80/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex2)) | v129(constB178, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex2)) | v129(constB178, bitIndex2))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25708,plain,
% 73.80/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex2)) | v129(constB178, bitIndex2))),
% 73.80/46.69 inference(quant_inst,[status(thm)],[])).
% 73.80/46.69 tff(25709,plain,
% 73.80/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex2)) | v129(constB178, bitIndex2)),
% 73.80/46.69 inference(modus_ponens,[status(thm)],[25708, 25707])).
% 73.80/46.69 tff(25710,plain,
% 73.80/46.69 ((~v127(constB177, bitIndex2)) | v129(constB178, bitIndex2)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25709, 1319, 25537])).
% 73.80/46.69 tff(25711,plain,
% 73.80/46.69 (~v127(constB177, bitIndex2)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25710, 25706])).
% 73.80/46.69 tff(25712,plain,
% 73.80/46.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB177) | (~v130(constB177, bitIndex2)) | v127(constB177, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB177) | (~v130(constB177, bitIndex2)) | v127(constB177, bitIndex2))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25713,plain,
% 73.80/46.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB177) | (~v130(constB177, bitIndex2)) | v127(constB177, bitIndex2))),
% 73.80/46.69 inference(quant_inst,[status(thm)],[])).
% 73.80/46.69 tff(25714,plain,
% 73.80/46.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB177) | (~v130(constB177, bitIndex2)) | v127(constB177, bitIndex2)),
% 73.80/46.69 inference(modus_ponens,[status(thm)],[25713, 25712])).
% 73.80/46.69 tff(25715,plain,
% 73.80/46.69 ((~v130(constB177, bitIndex2)) | v127(constB177, bitIndex2)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25714, 1304, 25526])).
% 73.80/46.69 tff(25716,plain,
% 73.80/46.69 (~v130(constB177, bitIndex2)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25715, 25711])).
% 73.80/46.69 tff(25717,plain,
% 73.80/46.69 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB177)) | v130(constB177, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB177)) | v130(constB177, bitIndex2))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25718,plain,
% 73.80/46.69 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB177)) | v130(constB177, bitIndex2))),
% 73.80/46.69 inference(quant_inst,[status(thm)],[])).
% 73.80/46.69 tff(25719,plain,
% 73.80/46.69 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB177)) | v130(constB177, bitIndex2)),
% 73.80/46.69 inference(modus_ponens,[status(thm)],[25718, 25717])).
% 73.80/46.69 tff(25720,plain,
% 73.80/46.69 (~v122(constB177)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25719, 1290, 25716])).
% 73.80/46.69 tff(25721,assumption,(~v120(constB177)), introduced(assumption)).
% 73.80/46.69 tff(25722,assumption,(~v121(constB177)), introduced(assumption)).
% 73.80/46.69 tff(25723,assumption,(~v130(constB177, bitIndex0)), introduced(assumption)).
% 73.80/46.69 tff(25724,assumption,(~v122(constB177)), introduced(assumption)).
% 73.80/46.69 tff(25725,assumption,(~v123(constB177)), introduced(assumption)).
% 73.80/46.69 tff(25726,assumption,(~v124(constB177)), introduced(assumption)).
% 73.80/46.69 tff(25727,plain,
% 73.80/46.69 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB177) | v124(constB177) | v122(constB177) | v121(constB177) | v119(constB177) | v120(constB177) | v130(constB177, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB177) | v124(constB177) | v122(constB177) | v121(constB177) | v119(constB177) | v120(constB177) | v130(constB177, bitIndex0))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25728,plain,
% 73.80/46.69 ((v120(constB177) | v119(constB177) | v121(constB177) | v122(constB177) | v123(constB177) | v124(constB177) | v130(constB177, bitIndex0)) <=> (v123(constB177) | v124(constB177) | v122(constB177) | v121(constB177) | v119(constB177) | v120(constB177) | v130(constB177, bitIndex0))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25729,plain,
% 73.80/46.69 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB177) | v119(constB177) | v121(constB177) | v122(constB177) | v123(constB177) | v124(constB177) | v130(constB177, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB177) | v124(constB177) | v122(constB177) | v121(constB177) | v119(constB177) | v120(constB177) | v130(constB177, bitIndex0)))),
% 73.80/46.69 inference(monotonicity,[status(thm)],[25728])).
% 73.80/46.69 tff(25730,plain,
% 73.80/46.69 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB177) | v119(constB177) | v121(constB177) | v122(constB177) | v123(constB177) | v124(constB177) | v130(constB177, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB177) | v124(constB177) | v122(constB177) | v121(constB177) | v119(constB177) | v120(constB177) | v130(constB177, bitIndex0))),
% 73.80/46.69 inference(transitivity,[status(thm)],[25729, 25727])).
% 73.80/46.69 tff(25731,plain,
% 73.80/46.69 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB177) | v119(constB177) | v121(constB177) | v122(constB177) | v123(constB177) | v124(constB177) | v130(constB177, bitIndex0))),
% 73.80/46.69 inference(quant_inst,[status(thm)],[])).
% 73.80/46.69 tff(25732,plain,
% 73.80/46.69 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB177) | v124(constB177) | v122(constB177) | v121(constB177) | v119(constB177) | v120(constB177) | v130(constB177, bitIndex0)),
% 73.80/46.69 inference(modus_ponens,[status(thm)],[25731, 25730])).
% 73.80/46.69 tff(25733,plain,
% 73.80/46.69 (v121(constB177) | v119(constB177) | v120(constB177) | v130(constB177, bitIndex0)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25732, 2192, 25726, 25725, 25724])).
% 73.80/46.69 tff(25734,plain,
% 73.80/46.69 (v119(constB177)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25733, 25723, 25722, 25721])).
% 73.80/46.69 tff(25735,plain,
% 73.80/46.69 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB177)) | v130(constB177, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB177)) | v130(constB177, bitIndex0))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25736,plain,
% 73.80/46.69 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v119(constB177)) | v130(constB177, bitIndex0))),
% 73.80/46.69 inference(quant_inst,[status(thm)],[])).
% 73.80/46.69 tff(25737,plain,
% 73.80/46.69 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v119(constB177)) | v130(constB177, bitIndex0)),
% 73.80/46.69 inference(modus_ponens,[status(thm)],[25736, 25735])).
% 73.80/46.69 tff(25738,plain,
% 73.80/46.69 ($false),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25737, 165, 25723, 25734])).
% 73.80/46.69 tff(25739,plain,(v130(constB177, bitIndex0) | v121(constB177) | v120(constB177) | v124(constB177) | v123(constB177) | v122(constB177)), inference(lemma,lemma(discharge,[]))).
% 73.80/46.69 tff(25740,plain,
% 73.80/46.69 ($false),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25739, 25720, 25698, 25686, 25694, 25690, 25668])).
% 73.80/46.69 tff(25741,plain,(v90(constB178, bitIndex2) | v90(constB178, bitIndex0) | v90(constB178, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 73.80/46.69 tff(25742,plain,
% 73.80/46.69 (v90(constB178, bitIndex1)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25741, 25554, 25545])).
% 73.80/46.69 tff(25743,plain,
% 73.80/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB177, bitIndex1) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB177, bitIndex1) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex1)))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25744,plain,
% 73.80/46.69 (((~nextState(constB177, constB178)) | v90(constB177, bitIndex1) | v100(constB178) | (~v90(constB178, bitIndex1))) <=> (v90(constB177, bitIndex1) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex1)))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25745,plain,
% 73.80/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB177, constB178)) | v90(constB177, bitIndex1) | v100(constB178) | (~v90(constB178, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB177, bitIndex1) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex1))))),
% 73.80/46.69 inference(monotonicity,[status(thm)],[25744])).
% 73.80/46.69 tff(25746,plain,
% 73.80/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB177, constB178)) | v90(constB177, bitIndex1) | v100(constB178) | (~v90(constB178, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB177, bitIndex1) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex1)))),
% 73.80/46.69 inference(transitivity,[status(thm)],[25745, 25743])).
% 73.80/46.69 tff(25747,plain,
% 73.80/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB177, constB178)) | v90(constB177, bitIndex1) | v100(constB178) | (~v90(constB178, bitIndex1)))),
% 73.80/46.69 inference(quant_inst,[status(thm)],[])).
% 73.80/46.69 tff(25748,plain,
% 73.80/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB177, bitIndex1) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex1))),
% 73.80/46.69 inference(modus_ponens,[status(thm)],[25747, 25746])).
% 73.80/46.69 tff(25749,plain,
% 73.80/46.69 (v90(constB177, bitIndex1) | v100(constB178) | (~v90(constB178, bitIndex1))),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25748, 109, 25537])).
% 73.80/46.69 tff(25750,plain,
% 73.80/46.69 (v90(constB177, bitIndex1)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25749, 25742, 25544])).
% 73.80/46.69 tff(25751,plain,
% 73.80/46.69 (~v116(constB177)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25643, 265, 25640])).
% 73.80/46.69 tff(25752,plain,
% 73.80/46.69 (~v117(constB177)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25588, 254, 25751])).
% 73.80/46.69 tff(25753,plain,
% 73.80/46.69 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB177) | (~v121(constB177)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB177) | (~v121(constB177)))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25754,plain,
% 73.80/46.69 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB177) | (~v121(constB177)))),
% 73.80/46.69 inference(quant_inst,[status(thm)],[])).
% 73.80/46.69 tff(25755,plain,
% 73.80/46.69 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB177) | (~v121(constB177))),
% 73.80/46.69 inference(modus_ponens,[status(thm)],[25754, 25753])).
% 73.80/46.69 tff(25756,plain,
% 73.80/46.69 (~v121(constB177)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25755, 976, 25752])).
% 73.80/46.69 tff(25757,plain,
% 73.80/46.69 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB177, bitIndex0) | (~v90(constB177, bitIndex1)) | v90(constB177, bitIndex2) | v121(constB177))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB177, bitIndex0) | (~v90(constB177, bitIndex1)) | v90(constB177, bitIndex2) | v121(constB177))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25758,plain,
% 73.80/46.69 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB177, bitIndex0) | (~v90(constB177, bitIndex1)) | v90(constB177, bitIndex2) | v121(constB177))),
% 73.80/46.69 inference(quant_inst,[status(thm)],[])).
% 73.80/46.69 tff(25759,plain,
% 73.80/46.69 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB177, bitIndex0) | (~v90(constB177, bitIndex1)) | v90(constB177, bitIndex2) | v121(constB177)),
% 73.80/46.69 inference(modus_ponens,[status(thm)],[25758, 25757])).
% 73.80/46.69 tff(25760,plain,
% 73.80/46.69 (v90(constB177, bitIndex0) | (~v90(constB177, bitIndex1)) | v90(constB177, bitIndex2)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25759, 965, 25756])).
% 73.80/46.69 tff(25761,plain,
% 73.80/46.69 ($false),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25760, 25750, 25562, 25553])).
% 73.80/46.69 tff(25762,plain,(v90(constB178, bitIndex0) | v100(constB178) | v90(constB178, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 73.80/46.69 tff(25763,plain,
% 73.80/46.69 (v90(constB178, bitIndex0)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25762, 25545, 25544])).
% 73.80/46.69 tff(25764,plain,
% 73.80/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex0)))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25765,plain,
% 73.80/46.69 (((~nextState(constB177, constB178)) | v90(constB177, bitIndex0) | v100(constB178) | (~v90(constB178, bitIndex0))) <=> (v90(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex0)))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25766,plain,
% 73.80/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v90(constB177, bitIndex0) | v100(constB178) | (~v90(constB178, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex0))))),
% 73.80/46.69 inference(monotonicity,[status(thm)],[25765])).
% 73.80/46.69 tff(25767,plain,
% 73.80/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v90(constB177, bitIndex0) | v100(constB178) | (~v90(constB178, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex0)))),
% 73.80/46.69 inference(transitivity,[status(thm)],[25766, 25764])).
% 73.80/46.69 tff(25768,plain,
% 73.80/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v90(constB177, bitIndex0) | v100(constB178) | (~v90(constB178, bitIndex0)))),
% 73.80/46.69 inference(quant_inst,[status(thm)],[])).
% 73.80/46.69 tff(25769,plain,
% 73.80/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex0))),
% 73.80/46.69 inference(modus_ponens,[status(thm)],[25768, 25767])).
% 73.80/46.69 tff(25770,plain,
% 73.80/46.69 (v90(constB177, bitIndex0) | v100(constB178) | (~v90(constB178, bitIndex0))),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25769, 130, 25537])).
% 73.80/46.69 tff(25771,plain,
% 73.80/46.69 (v90(constB177, bitIndex0)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25770, 25763, 25544])).
% 73.80/46.69 tff(25772,plain,
% 73.80/46.69 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB177) | (~v122(constB177)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB177) | (~v122(constB177)))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25773,plain,
% 73.80/46.69 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB177) | (~v122(constB177)))),
% 73.80/46.69 inference(quant_inst,[status(thm)],[])).
% 73.80/46.69 tff(25774,plain,
% 73.80/46.69 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB177) | (~v122(constB177))),
% 73.80/46.69 inference(modus_ponens,[status(thm)],[25773, 25772])).
% 73.80/46.69 tff(25775,plain,
% 73.80/46.69 (~v122(constB177)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25774, 1214, 25751])).
% 73.80/46.69 tff(25776,plain,
% 73.80/46.69 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB177, bitIndex0)) | (~v90(constB177, bitIndex1)) | v90(constB177, bitIndex2) | v122(constB177))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB177, bitIndex0)) | (~v90(constB177, bitIndex1)) | v90(constB177, bitIndex2) | v122(constB177))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25777,plain,
% 73.80/46.69 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB177, bitIndex0)) | (~v90(constB177, bitIndex1)) | v90(constB177, bitIndex2) | v122(constB177))),
% 73.80/46.69 inference(quant_inst,[status(thm)],[])).
% 73.80/46.69 tff(25778,plain,
% 73.80/46.69 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB177, bitIndex0)) | (~v90(constB177, bitIndex1)) | v90(constB177, bitIndex2) | v122(constB177)),
% 73.80/46.69 inference(modus_ponens,[status(thm)],[25777, 25776])).
% 73.80/46.69 tff(25779,plain,
% 73.80/46.69 ((~v90(constB177, bitIndex0)) | (~v90(constB177, bitIndex1)) | v90(constB177, bitIndex2)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25778, 1203, 25775])).
% 73.80/46.69 tff(25780,plain,
% 73.80/46.69 (~v90(constB177, bitIndex1)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25779, 25771, 25553])).
% 73.80/46.69 tff(25781,plain,
% 73.80/46.69 (~v118(constB177)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25584, 243, 25752])).
% 73.80/46.69 tff(25782,plain,
% 73.80/46.69 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB177) | (~v120(constB177)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB177) | (~v120(constB177)))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25783,plain,
% 73.80/46.69 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB177) | (~v120(constB177)))),
% 73.80/46.69 inference(quant_inst,[status(thm)],[])).
% 73.80/46.69 tff(25784,plain,
% 73.80/46.69 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB177) | (~v120(constB177))),
% 73.80/46.69 inference(modus_ponens,[status(thm)],[25783, 25782])).
% 73.80/46.69 tff(25785,plain,
% 73.80/46.69 (~v120(constB177)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25784, 646, 25781])).
% 73.80/46.69 tff(25786,plain,
% 73.80/46.69 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB177, bitIndex0)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | v120(constB177))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB177, bitIndex0)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | v120(constB177))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25787,plain,
% 73.80/46.69 (((~v90(constB177, bitIndex0)) | v120(constB177) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2)) <=> ((~v90(constB177, bitIndex0)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | v120(constB177))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25788,plain,
% 73.80/46.69 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB177, bitIndex0)) | v120(constB177) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB177, bitIndex0)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | v120(constB177)))),
% 73.80/46.69 inference(monotonicity,[status(thm)],[25787])).
% 73.80/46.69 tff(25789,plain,
% 73.80/46.69 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB177, bitIndex0)) | v120(constB177) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB177, bitIndex0)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | v120(constB177))),
% 73.80/46.69 inference(transitivity,[status(thm)],[25788, 25786])).
% 73.80/46.69 tff(25790,plain,
% 73.80/46.69 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB177, bitIndex0)) | v120(constB177) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2))),
% 73.80/46.69 inference(quant_inst,[status(thm)],[])).
% 73.80/46.69 tff(25791,plain,
% 73.80/46.69 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB177, bitIndex0)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | v120(constB177)),
% 73.80/46.69 inference(modus_ponens,[status(thm)],[25790, 25789])).
% 73.80/46.69 tff(25792,plain,
% 73.80/46.69 ((~v90(constB177, bitIndex0)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25791, 631, 25785])).
% 73.80/46.69 tff(25793,plain,
% 73.80/46.69 ($false),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25792, 25780, 25771, 25553])).
% 73.80/46.69 tff(25794,plain,(v90(constB178, bitIndex2) | v100(constB178)), inference(lemma,lemma(discharge,[]))).
% 73.80/46.69 tff(25795,plain,
% 73.80/46.69 (v90(constB178, bitIndex2)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25794, 25544])).
% 73.80/46.69 tff(25796,plain,
% 73.80/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB177, bitIndex2) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB177, bitIndex2) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex2)))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25797,plain,
% 73.80/46.69 (((~nextState(constB177, constB178)) | v90(constB177, bitIndex2) | v100(constB178) | (~v90(constB178, bitIndex2))) <=> (v90(constB177, bitIndex2) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex2)))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25798,plain,
% 73.80/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB177, constB178)) | v90(constB177, bitIndex2) | v100(constB178) | (~v90(constB178, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB177, bitIndex2) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex2))))),
% 73.80/46.69 inference(monotonicity,[status(thm)],[25797])).
% 73.80/46.69 tff(25799,plain,
% 73.80/46.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB177, constB178)) | v90(constB177, bitIndex2) | v100(constB178) | (~v90(constB178, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB177, bitIndex2) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex2)))),
% 73.80/46.69 inference(transitivity,[status(thm)],[25798, 25796])).
% 73.80/46.69 tff(25800,plain,
% 73.80/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB177, constB178)) | v90(constB177, bitIndex2) | v100(constB178) | (~v90(constB178, bitIndex2)))),
% 73.80/46.69 inference(quant_inst,[status(thm)],[])).
% 73.80/46.69 tff(25801,plain,
% 73.80/46.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB177, bitIndex2) | (~nextState(constB177, constB178)) | v100(constB178) | (~v90(constB178, bitIndex2))),
% 73.80/46.69 inference(modus_ponens,[status(thm)],[25800, 25799])).
% 73.80/46.69 tff(25802,plain,
% 73.80/46.69 (v90(constB177, bitIndex2) | v100(constB178) | (~v90(constB178, bitIndex2))),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25801, 88, 25537])).
% 73.80/46.69 tff(25803,plain,
% 73.80/46.69 (v90(constB177, bitIndex2)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25802, 25795, 25544])).
% 73.80/46.69 tff(25804,plain,
% 73.80/46.69 (v90(constB178, bitIndex2)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25741, 25554, 25563])).
% 73.80/46.69 tff(25805,plain,
% 73.80/46.69 (v90(constB177, bitIndex2)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25802, 25544, 25804])).
% 73.80/46.69 tff(25806,plain,
% 73.80/46.69 (v123(constB177)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25516, 1477, 25573, 25572, 25805])).
% 73.80/46.69 tff(25807,plain,
% 73.80/46.69 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB177) | (~v123(constB177)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB177) | (~v123(constB177)))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25808,plain,
% 73.80/46.69 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB177) | (~v123(constB177)))),
% 73.80/46.69 inference(quant_inst,[status(thm)],[])).
% 73.80/46.69 tff(25809,plain,
% 73.80/46.69 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB177) | (~v123(constB177))),
% 73.80/46.69 inference(modus_ponens,[status(thm)],[25808, 25807])).
% 73.80/46.69 tff(25810,plain,
% 73.80/46.69 (v115(constB177)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25809, 1488, 25806])).
% 73.80/46.69 tff(25811,plain,
% 73.80/46.69 ($false),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25639, 276, 25810, 25636])).
% 73.80/46.69 tff(25812,plain,(v100(constB178) | v90(constB178, bitIndex1) | v90(constB178, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.80/46.69 tff(25813,plain,
% 73.80/46.69 (v90(constB178, bitIndex1)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25812, 25554, 25544])).
% 73.80/46.69 tff(25814,plain,
% 73.80/46.69 (v90(constB177, bitIndex1)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25749, 25813, 25544])).
% 73.80/46.69 tff(25815,plain,
% 73.80/46.69 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB177) | (~v125(constB177)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB177) | (~v125(constB177)))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25816,plain,
% 73.80/46.69 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB177) | (~v125(constB177)))),
% 73.80/46.69 inference(quant_inst,[status(thm)],[])).
% 73.80/46.69 tff(25817,plain,
% 73.80/46.69 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB177) | (~v125(constB177))),
% 73.80/46.69 inference(modus_ponens,[status(thm)],[25816, 25815])).
% 73.80/46.69 tff(25818,plain,
% 73.80/46.69 (~v125(constB177)),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25817, 2047, 25632])).
% 73.80/46.69 tff(25819,plain,
% 73.80/46.69 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB177, bitIndex0) | (~v90(constB177, bitIndex1)) | (~v90(constB177, bitIndex2)) | v125(constB177))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB177, bitIndex0) | (~v90(constB177, bitIndex1)) | (~v90(constB177, bitIndex2)) | v125(constB177))),
% 73.80/46.69 inference(rewrite,[status(thm)],[])).
% 73.80/46.69 tff(25820,plain,
% 73.80/46.69 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB177, bitIndex0) | (~v90(constB177, bitIndex1)) | (~v90(constB177, bitIndex2)) | v125(constB177))),
% 73.80/46.69 inference(quant_inst,[status(thm)],[])).
% 73.80/46.69 tff(25821,plain,
% 73.80/46.69 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB177, bitIndex0) | (~v90(constB177, bitIndex1)) | (~v90(constB177, bitIndex2)) | v125(constB177)),
% 73.80/46.69 inference(modus_ponens,[status(thm)],[25820, 25819])).
% 73.80/46.69 tff(25822,plain,
% 73.80/46.69 (v90(constB177, bitIndex0) | (~v90(constB177, bitIndex1)) | (~v90(constB177, bitIndex2))),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25821, 2036, 25818])).
% 73.80/46.69 tff(25823,plain,
% 73.80/46.69 ($false),
% 73.80/46.69 inference(unit_resolution,[status(thm)],[25822, 25814, 25562, 25803])).
% 73.80/46.69 tff(25824,plain,(v90(constB178, bitIndex0) | v100(constB178)), inference(lemma,lemma(discharge,[]))).
% 73.80/46.70 tff(25825,plain,
% 73.80/46.70 (v90(constB178, bitIndex0)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25824, 25544])).
% 73.80/46.70 tff(25826,plain,
% 73.80/46.70 ($false),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25770, 25825, 25544, 25543])).
% 73.80/46.70 tff(25827,plain,(v100(constB178) | v90(constB177, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.80/46.70 tff(25828,plain,
% 73.80/46.70 (v100(constB178)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25827, 25513])).
% 73.80/46.70 tff(25829,plain,
% 73.80/46.70 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1) | (~v100(constB178)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1) | (~v100(constB178)))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25830,plain,
% 73.80/46.70 (((~v90(constB178, bitIndex1)) | (~v100(constB178)) | v129(constB178, bitIndex1)) <=> ((~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1) | (~v100(constB178)))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25831,plain,
% 73.80/46.70 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | (~v100(constB178)) | v129(constB178, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1) | (~v100(constB178))))),
% 73.80/46.70 inference(monotonicity,[status(thm)],[25830])).
% 73.80/46.70 tff(25832,plain,
% 73.80/46.70 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | (~v100(constB178)) | v129(constB178, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1) | (~v100(constB178)))),
% 73.80/46.70 inference(transitivity,[status(thm)],[25831, 25829])).
% 73.80/46.70 tff(25833,plain,
% 73.80/46.70 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB178, bitIndex1)) | (~v100(constB178)) | v129(constB178, bitIndex1))),
% 73.80/46.70 inference(quant_inst,[status(thm)],[])).
% 73.80/46.70 tff(25834,plain,
% 73.80/46.70 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1) | (~v100(constB178))),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25833, 25832])).
% 73.80/46.70 tff(25835,plain,
% 73.80/46.70 ((~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25834, 603, 25828])).
% 73.80/46.70 tff(25836,plain,
% 73.80/46.70 (~v90(constB178, bitIndex1)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25835, 25542])).
% 73.80/46.70 tff(25837,plain,
% 73.80/46.70 ((~v1(constB179)) <=> (~v1(constB179))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25838,axiom,(~v1(constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_179_1_1')).
% 73.80/46.70 tff(25839,plain,
% 73.80/46.70 (~v1(constB179)),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25838, 25837])).
% 73.80/46.70 tff(25840,plain,
% 73.80/46.70 (nextState(constB178, constB179) <=> nextState(constB178, constB179)),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25841,axiom,(nextState(constB178, constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_178_1')).
% 73.80/46.70 tff(25842,plain,
% 73.80/46.70 (nextState(constB178, constB179)),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25841, 25840])).
% 73.80/46.70 tff(25843,plain,
% 73.80/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25844,plain,
% 73.80/46.70 (((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179)) <=> (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25845,plain,
% 73.80/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179))))),
% 73.80/46.70 inference(monotonicity,[status(thm)],[25844])).
% 73.80/46.70 tff(25846,plain,
% 73.80/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 73.80/46.70 inference(transitivity,[status(thm)],[25845, 25843])).
% 73.80/46.70 tff(25847,plain,
% 73.80/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))),
% 73.80/46.70 inference(quant_inst,[status(thm)],[])).
% 73.80/46.70 tff(25848,plain,
% 73.80/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179))),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25847, 25846])).
% 73.80/46.70 tff(25849,plain,
% 73.80/46.70 (~v101(constB179)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25848, 56, 25842, 25839])).
% 73.80/46.70 tff(25850,plain,
% 73.80/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25851,plain,
% 73.80/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))),
% 73.80/46.70 inference(quant_inst,[status(thm)],[])).
% 73.80/46.70 tff(25852,plain,
% 73.80/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179))),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25851, 25850])).
% 73.80/46.70 tff(25853,plain,
% 73.80/46.70 (v101(constB179) | (~v100(constB179))),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25852, 73, 25842])).
% 73.80/46.70 tff(25854,plain,
% 73.80/46.70 (~v100(constB179)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25853, 25849])).
% 73.80/46.70 tff(25855,plain,
% 73.80/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex1)))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25856,plain,
% 73.80/46.70 (((~nextState(constB178, constB179)) | v90(constB178, bitIndex1) | v100(constB179) | (~v90(constB179, bitIndex1))) <=> (v90(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex1)))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25857,plain,
% 73.80/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex1) | v100(constB179) | (~v90(constB179, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex1))))),
% 73.80/46.70 inference(monotonicity,[status(thm)],[25856])).
% 73.80/46.70 tff(25858,plain,
% 73.80/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex1) | v100(constB179) | (~v90(constB179, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex1)))),
% 73.80/46.70 inference(transitivity,[status(thm)],[25857, 25855])).
% 73.80/46.70 tff(25859,plain,
% 73.80/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB178, constB179)) | v90(constB178, bitIndex1) | v100(constB179) | (~v90(constB179, bitIndex1)))),
% 73.80/46.70 inference(quant_inst,[status(thm)],[])).
% 73.80/46.70 tff(25860,plain,
% 73.80/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex1))),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25859, 25858])).
% 73.80/46.70 tff(25861,plain,
% 73.80/46.70 (v90(constB178, bitIndex1) | v100(constB179) | (~v90(constB179, bitIndex1))),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25860, 109, 25842])).
% 73.80/46.70 tff(25862,plain,
% 73.80/46.70 (v90(constB178, bitIndex1) | (~v90(constB179, bitIndex1))),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25861, 25854])).
% 73.80/46.70 tff(25863,plain,
% 73.80/46.70 (~v90(constB179, bitIndex1)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25862, 25836])).
% 73.80/46.70 tff(25864,plain,
% 73.80/46.70 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB177)) | v130(constB177, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB177)) | v130(constB177, bitIndex2))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25865,plain,
% 73.80/46.70 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB177)) | v130(constB177, bitIndex2))),
% 73.80/46.70 inference(quant_inst,[status(thm)],[])).
% 73.80/46.70 tff(25866,plain,
% 73.80/46.70 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB177)) | v130(constB177, bitIndex2)),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25865, 25864])).
% 73.80/46.70 tff(25867,plain,
% 73.80/46.70 (v130(constB177, bitIndex2)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25866, 1563, 25518])).
% 73.80/46.70 tff(25868,plain,
% 73.80/46.70 (v127(constB177, bitIndex2)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25715, 25867])).
% 73.80/46.70 tff(25869,plain,
% 73.80/46.70 (v129(constB178, bitIndex2)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25710, 25868])).
% 73.80/46.70 tff(25870,plain,
% 73.80/46.70 (v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2))),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25704, 1334, 25828])).
% 73.80/46.70 tff(25871,plain,
% 73.80/46.70 (v90(constB178, bitIndex2)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25870, 25869])).
% 73.80/46.70 tff(25872,plain,
% 73.80/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex2))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25873,plain,
% 73.80/46.70 (((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex2)) | v100(constB179) | v90(constB179, bitIndex2)) <=> ((~v90(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex2))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25874,plain,
% 73.80/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex2)) | v100(constB179) | v90(constB179, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex2)))),
% 73.80/46.70 inference(monotonicity,[status(thm)],[25873])).
% 73.80/46.70 tff(25875,plain,
% 73.80/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex2)) | v100(constB179) | v90(constB179, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex2))),
% 73.80/46.70 inference(transitivity,[status(thm)],[25874, 25872])).
% 73.80/46.70 tff(25876,plain,
% 73.80/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex2)) | v100(constB179) | v90(constB179, bitIndex2))),
% 73.80/46.70 inference(quant_inst,[status(thm)],[])).
% 73.80/46.70 tff(25877,plain,
% 73.80/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex2)),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25876, 25875])).
% 73.80/46.70 tff(25878,plain,
% 73.80/46.70 ((~v90(constB178, bitIndex2)) | v100(constB179) | v90(constB179, bitIndex2)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25877, 1370, 25842])).
% 73.80/46.70 tff(25879,plain,
% 73.80/46.70 ((~v90(constB178, bitIndex2)) | v90(constB179, bitIndex2)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25878, 25854])).
% 73.80/46.70 tff(25880,plain,
% 73.80/46.70 (v90(constB179, bitIndex2)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25879, 25871])).
% 73.80/46.70 tff(25881,plain,
% 73.80/46.70 (~v119(constB177)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25737, 165, 25723])).
% 73.80/46.70 tff(25882,plain,
% 73.80/46.70 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB177, bitIndex0) | (~v122(constB177)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB177, bitIndex0) | (~v122(constB177)))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25883,plain,
% 73.80/46.70 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB177, bitIndex0) | (~v122(constB177)))),
% 73.80/46.70 inference(quant_inst,[status(thm)],[])).
% 73.80/46.70 tff(25884,plain,
% 73.80/46.70 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB177, bitIndex0) | (~v122(constB177))),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25883, 25882])).
% 73.80/46.70 tff(25885,plain,
% 73.80/46.70 (~v122(constB177)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25884, 3734, 25543])).
% 73.80/46.70 tff(25886,plain,
% 73.80/46.70 (~v123(constB177)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25689, 1666, 25723])).
% 73.80/46.70 tff(25887,plain,
% 73.80/46.70 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB177)) | v130(constB177, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB177)) | v130(constB177, bitIndex0))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25888,plain,
% 73.80/46.70 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB177)) | v130(constB177, bitIndex0))),
% 73.80/46.70 inference(quant_inst,[status(thm)],[])).
% 73.80/46.70 tff(25889,plain,
% 73.80/46.70 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB177)) | v130(constB177, bitIndex0)),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25888, 25887])).
% 73.80/46.70 tff(25890,plain,
% 73.80/46.70 (~v121(constB177)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25889, 1162, 25723])).
% 73.80/46.70 tff(25891,plain,
% 73.80/46.70 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB177, bitIndex0) | (~v124(constB177)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB177, bitIndex0) | (~v124(constB177)))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25892,plain,
% 73.80/46.70 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB177, bitIndex0) | (~v124(constB177)))),
% 73.80/46.70 inference(quant_inst,[status(thm)],[])).
% 73.80/46.70 tff(25893,plain,
% 73.80/46.70 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB177, bitIndex0) | (~v124(constB177))),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25892, 25891])).
% 73.80/46.70 tff(25894,plain,
% 73.80/46.70 (~v124(constB177)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25893, 3745, 25543])).
% 73.80/46.70 tff(25895,plain,
% 73.80/46.70 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB177, bitIndex0) | (~v120(constB177)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB177, bitIndex0) | (~v120(constB177)))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25896,plain,
% 73.80/46.70 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB177, bitIndex0) | (~v120(constB177)))),
% 73.80/46.70 inference(quant_inst,[status(thm)],[])).
% 73.80/46.70 tff(25897,plain,
% 73.80/46.70 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB177, bitIndex0) | (~v120(constB177))),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25896, 25895])).
% 73.80/46.70 tff(25898,plain,
% 73.80/46.70 (~v120(constB177)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25897, 3723, 25543])).
% 73.80/46.70 tff(25899,plain,
% 73.80/46.70 (v123(constB177) | v124(constB177) | v122(constB177) | v121(constB177) | v119(constB177) | v120(constB177)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25732, 2192, 25723])).
% 73.80/46.70 tff(25900,plain,
% 73.80/46.70 ($false),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25899, 25898, 25894, 25890, 25886, 25885, 25881])).
% 73.80/46.70 tff(25901,plain,(v90(constB177, bitIndex0) | v130(constB177, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 73.80/46.70 tff(25902,plain,
% 73.80/46.70 (v130(constB177, bitIndex0)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25901, 25513])).
% 73.80/46.70 tff(25903,plain,
% 73.80/46.70 (v127(constB177, bitIndex0)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25685, 25902])).
% 73.80/46.70 tff(25904,plain,
% 73.80/46.70 (v129(constB178, bitIndex0)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25680, 25903])).
% 73.80/46.70 tff(25905,plain,
% 73.80/46.70 (v90(constB178, bitIndex0)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25674, 401, 25828, 25904])).
% 73.80/46.70 tff(25906,plain,
% 73.80/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex0))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25907,plain,
% 73.80/46.70 (((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex0)) | v100(constB179) | v90(constB179, bitIndex0)) <=> ((~v90(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex0))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25908,plain,
% 73.80/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex0)) | v100(constB179) | v90(constB179, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex0)))),
% 73.80/46.70 inference(monotonicity,[status(thm)],[25907])).
% 73.80/46.70 tff(25909,plain,
% 73.80/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex0)) | v100(constB179) | v90(constB179, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex0))),
% 73.80/46.70 inference(transitivity,[status(thm)],[25908, 25906])).
% 73.80/46.70 tff(25910,plain,
% 73.80/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex0)) | v100(constB179) | v90(constB179, bitIndex0))),
% 73.80/46.70 inference(quant_inst,[status(thm)],[])).
% 73.80/46.70 tff(25911,plain,
% 73.80/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex0)),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25910, 25909])).
% 73.80/46.70 tff(25912,plain,
% 73.80/46.70 ((~v90(constB178, bitIndex0)) | v100(constB179) | v90(constB179, bitIndex0)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25911, 437, 25842])).
% 73.80/46.70 tff(25913,plain,
% 73.80/46.70 ((~v90(constB178, bitIndex0)) | v90(constB179, bitIndex0)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25912, 25854])).
% 73.80/46.70 tff(25914,plain,
% 73.80/46.70 (v90(constB179, bitIndex0)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25913, 25905])).
% 73.80/46.70 tff(25915,plain,
% 73.80/46.70 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB179, bitIndex0)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | v124(constB179))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB179, bitIndex0)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | v124(constB179))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25916,plain,
% 73.80/46.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB179, bitIndex0)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | v124(constB179))),
% 73.80/46.70 inference(quant_inst,[status(thm)],[])).
% 73.80/46.70 tff(25917,plain,
% 73.80/46.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB179, bitIndex0)) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | v124(constB179)),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25916, 25915])).
% 73.80/46.70 tff(25918,plain,
% 73.80/46.70 (v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | v124(constB179)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25917, 1707, 25914])).
% 73.80/46.70 tff(25919,plain,
% 73.80/46.70 (v124(constB179)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25918, 25880, 25863])).
% 73.80/46.70 tff(25920,plain,
% 73.80/46.70 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB179)) | v130(constB179, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB179)) | v130(constB179, bitIndex2))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25921,plain,
% 73.80/46.70 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB179)) | v130(constB179, bitIndex2))),
% 73.80/46.70 inference(quant_inst,[status(thm)],[])).
% 73.80/46.70 tff(25922,plain,
% 73.80/46.70 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB179)) | v130(constB179, bitIndex2)),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25921, 25920])).
% 73.80/46.70 tff(25923,plain,
% 73.80/46.70 (v130(constB179, bitIndex2)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25922, 1786, 25919])).
% 73.80/46.70 tff(25924,plain,
% 73.80/46.70 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB179) | (~v130(constB179, bitIndex2)) | v127(constB179, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB179) | (~v130(constB179, bitIndex2)) | v127(constB179, bitIndex2))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25925,plain,
% 73.80/46.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB179) | (~v130(constB179, bitIndex2)) | v127(constB179, bitIndex2))),
% 73.80/46.70 inference(quant_inst,[status(thm)],[])).
% 73.80/46.70 tff(25926,plain,
% 73.80/46.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB179) | (~v130(constB179, bitIndex2)) | v127(constB179, bitIndex2)),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25925, 25924])).
% 73.80/46.70 tff(25927,plain,
% 73.80/46.70 (v26(constB179) | v127(constB179, bitIndex2)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25926, 1304, 25923])).
% 73.80/46.70 tff(25928,plain,
% 73.80/46.70 (v127(constB179, bitIndex2)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25927, 21204])).
% 73.80/46.70 tff(25929,plain,
% 73.80/46.70 (nextState(constB179, constB180) <=> nextState(constB179, constB180)),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25930,axiom,(nextState(constB179, constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_179_1')).
% 73.80/46.70 tff(25931,plain,
% 73.80/46.70 (nextState(constB179, constB180)),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25930, 25929])).
% 73.80/46.70 tff(25932,plain,
% 73.80/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex2)) | v129(constB180, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex2)) | v129(constB180, bitIndex2))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25933,plain,
% 73.80/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex2)) | v129(constB180, bitIndex2))),
% 73.80/46.70 inference(quant_inst,[status(thm)],[])).
% 73.80/46.70 tff(25934,plain,
% 73.80/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex2)) | v129(constB180, bitIndex2)),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25933, 25932])).
% 73.80/46.70 tff(25935,plain,
% 73.80/46.70 ((~v127(constB179, bitIndex2)) | v129(constB180, bitIndex2)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25934, 1319, 25931])).
% 73.80/46.70 tff(25936,plain,
% 73.80/46.70 (v129(constB180, bitIndex2)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25935, 25928])).
% 73.80/46.70 tff(25937,plain,
% 73.80/46.70 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB179) | (~v124(constB179)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB179) | (~v124(constB179)))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25938,plain,
% 73.80/46.70 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB179) | (~v124(constB179)))),
% 73.80/46.70 inference(quant_inst,[status(thm)],[])).
% 73.80/46.70 tff(25939,plain,
% 73.80/46.70 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB179) | (~v124(constB179))),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25938, 25937])).
% 73.80/46.70 tff(25940,plain,
% 73.80/46.70 (v114(constB179)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25939, 1718, 25919])).
% 73.80/46.70 tff(25941,plain,
% 73.80/46.70 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB179) | (~v114(constB179)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB179) | (~v114(constB179)))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25942,plain,
% 73.80/46.70 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB179) | (~v114(constB179)))),
% 73.80/46.70 inference(quant_inst,[status(thm)],[])).
% 73.80/46.70 tff(25943,plain,
% 73.80/46.70 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB179) | (~v114(constB179))),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25942, 25941])).
% 73.80/46.70 tff(25944,plain,
% 73.80/46.70 (v113(constB179)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25943, 287, 25940])).
% 73.80/46.70 tff(25945,assumption,(~v108(constB179)), introduced(assumption)).
% 73.80/46.70 tff(25946,plain,
% 73.80/46.70 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB179) | (~v112(constB179)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB179) | (~v112(constB179)))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25947,plain,
% 73.80/46.70 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB179) | (~v112(constB179)))),
% 73.80/46.70 inference(quant_inst,[status(thm)],[])).
% 73.80/46.70 tff(25948,plain,
% 73.80/46.70 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB179) | (~v112(constB179))),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25947, 25946])).
% 73.80/46.70 tff(25949,plain,
% 73.80/46.70 (~v112(constB179)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25948, 210, 25945])).
% 73.80/46.70 tff(25950,plain,
% 73.80/46.70 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB179) | (~v26(constB179)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB179) | (~v26(constB179)))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25951,plain,
% 73.80/46.70 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB179) | (~v26(constB179)))),
% 73.80/46.70 inference(quant_inst,[status(thm)],[])).
% 73.80/46.70 tff(25952,plain,
% 73.80/46.70 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB179) | (~v26(constB179))),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25951, 25950])).
% 73.80/46.70 tff(25953,plain,
% 73.80/46.70 (~v26(constB179)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25952, 221, 25945])).
% 73.80/46.70 tff(25954,assumption,(v113(constB179)), introduced(assumption)).
% 73.80/46.70 tff(25955,plain,
% 73.80/46.70 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | v112(constB179) | (~v113(constB179)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | v112(constB179) | (~v113(constB179)))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25956,plain,
% 73.80/46.70 ((v26(constB179) | (~v113(constB179)) | v112(constB179)) <=> (v26(constB179) | v112(constB179) | (~v113(constB179)))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25957,plain,
% 73.80/46.70 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | v112(constB179) | (~v113(constB179))))),
% 73.80/46.70 inference(monotonicity,[status(thm)],[25956])).
% 73.80/46.70 tff(25958,plain,
% 73.80/46.70 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | v112(constB179) | (~v113(constB179)))),
% 73.80/46.70 inference(transitivity,[status(thm)],[25957, 25955])).
% 73.80/46.70 tff(25959,plain,
% 73.80/46.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))),
% 73.80/46.70 inference(quant_inst,[status(thm)],[])).
% 73.80/46.70 tff(25960,plain,
% 73.80/46.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | v112(constB179) | (~v113(constB179))),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25959, 25958])).
% 73.80/46.70 tff(25961,plain,
% 73.80/46.70 (v26(constB179) | v112(constB179)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25960, 301, 25954])).
% 73.80/46.70 tff(25962,plain,
% 73.80/46.70 ($false),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25961, 25953, 25949])).
% 73.80/46.70 tff(25963,plain,(v108(constB179) | (~v113(constB179))), inference(lemma,lemma(discharge,[]))).
% 73.80/46.70 tff(25964,plain,
% 73.80/46.70 (v108(constB179)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25963, 25944])).
% 73.80/46.70 tff(25965,plain,
% 73.80/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25966,plain,
% 73.80/46.70 (((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180)) <=> ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25967,plain,
% 73.80/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179))))),
% 73.80/46.70 inference(monotonicity,[status(thm)],[25966])).
% 73.80/46.70 tff(25968,plain,
% 73.80/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 73.80/46.70 inference(transitivity,[status(thm)],[25967, 25965])).
% 73.80/46.70 tff(25969,plain,
% 73.80/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))),
% 73.80/46.70 inference(quant_inst,[status(thm)],[])).
% 73.80/46.70 tff(25970,plain,
% 73.80/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179))),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25969, 25968])).
% 73.80/46.70 tff(25971,plain,
% 73.80/46.70 (v110(constB180) | (~v108(constB179))),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25970, 317, 25931])).
% 73.80/46.70 tff(25972,plain,
% 73.80/46.70 (v110(constB180)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25971, 25964])).
% 73.80/46.70 tff(25973,plain,
% 73.80/46.70 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25974,plain,
% 73.80/46.70 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))),
% 73.80/46.70 inference(quant_inst,[status(thm)],[])).
% 73.80/46.70 tff(25975,plain,
% 73.80/46.70 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180))),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25974, 25973])).
% 73.80/46.70 tff(25976,plain,
% 73.80/46.70 (~v104(constB180)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25975, 335, 25931, 25839])).
% 73.80/46.70 tff(25977,plain,
% 73.80/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25978,plain,
% 73.80/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))),
% 73.80/46.70 inference(quant_inst,[status(thm)],[])).
% 73.80/46.70 tff(25979,plain,
% 73.80/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB179, constB180)) | v102(constB180) | v104(constB180)),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25978, 25977])).
% 73.80/46.70 tff(25980,plain,
% 73.80/46.70 (v102(constB180) | v104(constB180)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25979, 349, 25931])).
% 73.80/46.70 tff(25981,plain,
% 73.80/46.70 (v102(constB180)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25980, 25976])).
% 73.80/46.70 tff(25982,plain,
% 73.80/46.70 (v1(constB180) <=> v1(constB180)),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25983,axiom,(v1(constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_180_1')).
% 73.80/46.70 tff(25984,plain,
% 73.80/46.70 (v1(constB180)),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25983, 25982])).
% 73.80/46.70 tff(25985,plain,
% 73.80/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25986,plain,
% 73.80/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))),
% 73.80/46.70 inference(quant_inst,[status(thm)],[])).
% 73.80/46.70 tff(25987,plain,
% 73.80/46.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180))),
% 73.80/46.70 inference(modus_ponens,[status(thm)],[25986, 25985])).
% 73.80/46.70 tff(25988,plain,
% 73.80/46.70 (v101(constB180) | (~v102(constB180))),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25987, 367, 25931, 25984])).
% 73.80/46.70 tff(25989,plain,
% 73.80/46.70 (v101(constB180)),
% 73.80/46.70 inference(unit_resolution,[status(thm)],[25988, 25981])).
% 73.80/46.70 tff(25990,plain,
% 73.80/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25991,plain,
% 73.80/46.70 (((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180)) <=> ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 73.80/46.70 inference(rewrite,[status(thm)],[])).
% 73.80/46.70 tff(25992,plain,
% 73.80/46.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180))))),
% 73.80/46.71 inference(monotonicity,[status(thm)],[25991])).
% 73.80/46.71 tff(25993,plain,
% 73.80/46.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 73.80/46.71 inference(transitivity,[status(thm)],[25992, 25990])).
% 73.80/46.71 tff(25994,plain,
% 73.80/46.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))),
% 73.80/46.71 inference(quant_inst,[status(thm)],[])).
% 73.80/46.71 tff(25995,plain,
% 73.80/46.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180))),
% 73.80/46.71 inference(modus_ponens,[status(thm)],[25994, 25993])).
% 73.80/46.71 tff(25996,plain,
% 73.80/46.71 (v100(constB180) | (~v101(constB180)) | (~v110(constB180))),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[25995, 382, 25931])).
% 73.80/46.71 tff(25997,plain,
% 73.80/46.71 (v100(constB180) | (~v110(constB180))),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[25996, 25989])).
% 73.80/46.71 tff(25998,plain,
% 73.80/46.71 (v100(constB180)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[25997, 25972])).
% 73.80/46.71 tff(25999,plain,
% 73.80/46.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2)) | (~v100(constB180)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2)) | (~v100(constB180)))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26000,plain,
% 73.80/46.71 ((v90(constB180, bitIndex2) | (~v100(constB180)) | (~v129(constB180, bitIndex2))) <=> (v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2)) | (~v100(constB180)))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26001,plain,
% 73.80/46.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~v100(constB180)) | (~v129(constB180, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2)) | (~v100(constB180))))),
% 73.80/46.71 inference(monotonicity,[status(thm)],[26000])).
% 73.80/46.71 tff(26002,plain,
% 73.80/46.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~v100(constB180)) | (~v129(constB180, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2)) | (~v100(constB180)))),
% 73.80/46.71 inference(transitivity,[status(thm)],[26001, 25999])).
% 73.80/46.71 tff(26003,plain,
% 73.80/46.71 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB180, bitIndex2) | (~v100(constB180)) | (~v129(constB180, bitIndex2)))),
% 73.80/46.71 inference(quant_inst,[status(thm)],[])).
% 73.80/46.71 tff(26004,plain,
% 73.80/46.71 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2)) | (~v100(constB180))),
% 73.80/46.71 inference(modus_ponens,[status(thm)],[26003, 26002])).
% 73.80/46.71 tff(26005,plain,
% 73.80/46.71 (v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2))),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26004, 1334, 25998])).
% 73.80/46.71 tff(26006,plain,
% 73.80/46.71 (v90(constB180, bitIndex2)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26005, 25936])).
% 73.80/46.71 tff(26007,plain,
% 73.80/46.71 ((~v1(constB181)) <=> (~v1(constB181))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26008,axiom,(~v1(constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_181_1_1')).
% 73.80/46.71 tff(26009,plain,
% 73.80/46.71 (~v1(constB181)),
% 73.80/46.71 inference(modus_ponens,[status(thm)],[26008, 26007])).
% 73.80/46.71 tff(26010,plain,
% 73.80/46.71 (nextState(constB180, constB181) <=> nextState(constB180, constB181)),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26011,axiom,(nextState(constB180, constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_180_1')).
% 73.80/46.71 tff(26012,plain,
% 73.80/46.71 (nextState(constB180, constB181)),
% 73.80/46.71 inference(modus_ponens,[status(thm)],[26011, 26010])).
% 73.80/46.71 tff(26013,plain,
% 73.80/46.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26014,plain,
% 73.80/46.71 (((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181)) <=> (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26015,plain,
% 73.80/46.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181))))),
% 73.80/46.71 inference(monotonicity,[status(thm)],[26014])).
% 73.80/46.71 tff(26016,plain,
% 73.80/46.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 73.80/46.71 inference(transitivity,[status(thm)],[26015, 26013])).
% 73.80/46.71 tff(26017,plain,
% 73.80/46.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))),
% 73.80/46.71 inference(quant_inst,[status(thm)],[])).
% 73.80/46.71 tff(26018,plain,
% 73.80/46.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181))),
% 73.80/46.71 inference(modus_ponens,[status(thm)],[26017, 26016])).
% 73.80/46.71 tff(26019,plain,
% 73.80/46.71 (~v101(constB181)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26018, 56, 26012, 26009])).
% 73.80/46.71 tff(26020,plain,
% 73.80/46.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26021,plain,
% 73.80/46.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))),
% 73.80/46.71 inference(quant_inst,[status(thm)],[])).
% 73.80/46.71 tff(26022,plain,
% 73.80/46.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181))),
% 73.80/46.71 inference(modus_ponens,[status(thm)],[26021, 26020])).
% 73.80/46.71 tff(26023,plain,
% 73.80/46.71 (v101(constB181) | (~v100(constB181))),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26022, 73, 26012])).
% 73.80/46.71 tff(26024,plain,
% 73.80/46.71 (~v100(constB181)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26023, 26019])).
% 73.80/46.71 tff(26025,plain,
% 73.80/46.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex2))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26026,plain,
% 73.80/46.71 (((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex2)) | v100(constB181) | v90(constB181, bitIndex2)) <=> ((~v90(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex2))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26027,plain,
% 73.80/46.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex2)) | v100(constB181) | v90(constB181, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex2)))),
% 73.80/46.71 inference(monotonicity,[status(thm)],[26026])).
% 73.80/46.71 tff(26028,plain,
% 73.80/46.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex2)) | v100(constB181) | v90(constB181, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex2))),
% 73.80/46.71 inference(transitivity,[status(thm)],[26027, 26025])).
% 73.80/46.71 tff(26029,plain,
% 73.80/46.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex2)) | v100(constB181) | v90(constB181, bitIndex2))),
% 73.80/46.71 inference(quant_inst,[status(thm)],[])).
% 73.80/46.71 tff(26030,plain,
% 73.80/46.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex2)),
% 73.80/46.71 inference(modus_ponens,[status(thm)],[26029, 26028])).
% 73.80/46.71 tff(26031,plain,
% 73.80/46.71 ((~v90(constB180, bitIndex2)) | v100(constB181) | v90(constB181, bitIndex2)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26030, 1370, 26012])).
% 73.80/46.71 tff(26032,plain,
% 73.80/46.71 ((~v90(constB180, bitIndex2)) | v90(constB181, bitIndex2)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26031, 26024])).
% 73.80/46.71 tff(26033,plain,
% 73.80/46.71 (v90(constB181, bitIndex2)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26032, 26006])).
% 73.80/46.71 tff(26034,plain,
% 73.80/46.71 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB181, bitIndex2)) | (~v121(constB181)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB181, bitIndex2)) | (~v121(constB181)))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26035,plain,
% 73.80/46.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB181, bitIndex2)) | (~v121(constB181)))),
% 73.80/46.71 inference(quant_inst,[status(thm)],[])).
% 73.80/46.71 tff(26036,plain,
% 73.80/46.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB181, bitIndex2)) | (~v121(constB181))),
% 73.80/46.71 inference(modus_ponens,[status(thm)],[26035, 26034])).
% 73.80/46.71 tff(26037,plain,
% 73.80/46.71 (~v121(constB181)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26036, 1842, 26033])).
% 73.80/46.71 tff(26038,plain,
% 73.80/46.71 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB181, bitIndex2)) | (~v122(constB181)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB181, bitIndex2)) | (~v122(constB181)))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26039,plain,
% 73.80/46.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB181, bitIndex2)) | (~v122(constB181)))),
% 73.80/46.71 inference(quant_inst,[status(thm)],[])).
% 73.80/46.71 tff(26040,plain,
% 73.80/46.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB181, bitIndex2)) | (~v122(constB181))),
% 73.80/46.71 inference(modus_ponens,[status(thm)],[26039, 26038])).
% 73.80/46.71 tff(26041,plain,
% 73.80/46.71 (~v122(constB181)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26040, 1853, 26033])).
% 73.80/46.71 tff(26042,plain,
% 73.80/46.71 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB179)) | v130(constB179, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB179)) | v130(constB179, bitIndex1))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26043,plain,
% 73.80/46.71 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB179)) | v130(constB179, bitIndex1))),
% 73.80/46.71 inference(quant_inst,[status(thm)],[])).
% 73.80/46.71 tff(26044,plain,
% 73.80/46.71 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB179)) | v130(constB179, bitIndex1)),
% 73.80/46.71 inference(modus_ponens,[status(thm)],[26043, 26042])).
% 73.80/46.71 tff(26045,plain,
% 73.80/46.71 (v130(constB179, bitIndex1)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26044, 1867, 25919])).
% 73.80/46.71 tff(26046,plain,
% 73.80/46.71 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26047,plain,
% 73.80/46.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1))),
% 73.80/46.71 inference(quant_inst,[status(thm)],[])).
% 73.80/46.71 tff(26048,plain,
% 73.80/46.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1)),
% 73.80/46.71 inference(modus_ponens,[status(thm)],[26047, 26046])).
% 73.80/46.71 tff(26049,plain,
% 73.80/46.71 (v26(constB179) | v127(constB179, bitIndex1)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26048, 824, 26045])).
% 73.80/46.71 tff(26050,plain,
% 73.80/46.71 (v127(constB179, bitIndex1)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26049, 21204])).
% 73.80/46.71 tff(26051,plain,
% 73.80/46.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26052,plain,
% 73.80/46.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1))),
% 73.80/46.71 inference(quant_inst,[status(thm)],[])).
% 73.80/46.71 tff(26053,plain,
% 73.80/46.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1)),
% 73.80/46.71 inference(modus_ponens,[status(thm)],[26052, 26051])).
% 73.80/46.71 tff(26054,plain,
% 73.80/46.71 ((~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26053, 839, 25931])).
% 73.80/46.71 tff(26055,plain,
% 73.80/46.71 (v129(constB180, bitIndex1)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26054, 26050])).
% 73.80/46.71 tff(26056,plain,
% 73.80/46.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26057,plain,
% 73.80/46.71 ((v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1))) <=> (v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26058,plain,
% 73.80/46.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180))))),
% 73.80/46.71 inference(monotonicity,[status(thm)],[26057])).
% 73.80/46.71 tff(26059,plain,
% 73.80/46.71 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))),
% 73.80/46.71 inference(transitivity,[status(thm)],[26058, 26056])).
% 73.80/46.71 tff(26060,plain,
% 73.80/46.71 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1)))),
% 73.80/46.71 inference(quant_inst,[status(thm)],[])).
% 73.80/46.71 tff(26061,plain,
% 73.80/46.71 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180))),
% 73.80/46.71 inference(modus_ponens,[status(thm)],[26060, 26059])).
% 73.80/46.71 tff(26062,plain,
% 73.80/46.71 (v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1))),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26061, 854, 25998])).
% 73.80/46.71 tff(26063,plain,
% 73.80/46.71 (v90(constB180, bitIndex1)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26062, 26055])).
% 73.80/46.71 tff(26064,plain,
% 73.80/46.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26065,plain,
% 73.80/46.71 (((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1)) <=> ((~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26066,plain,
% 73.80/46.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1)))),
% 73.80/46.71 inference(monotonicity,[status(thm)],[26065])).
% 73.80/46.71 tff(26067,plain,
% 73.80/46.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))),
% 73.80/46.71 inference(transitivity,[status(thm)],[26066, 26064])).
% 73.80/46.71 tff(26068,plain,
% 73.80/46.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1))),
% 73.80/46.71 inference(quant_inst,[status(thm)],[])).
% 73.80/46.71 tff(26069,plain,
% 73.80/46.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1)),
% 73.80/46.71 inference(modus_ponens,[status(thm)],[26068, 26067])).
% 73.80/46.71 tff(26070,plain,
% 73.80/46.71 ((~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26069, 872, 26012])).
% 73.80/46.71 tff(26071,plain,
% 73.80/46.71 ((~v90(constB180, bitIndex1)) | v90(constB181, bitIndex1)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26070, 26024])).
% 73.80/46.71 tff(26072,plain,
% 73.80/46.71 (v90(constB181, bitIndex1)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26071, 26063])).
% 73.80/46.71 tff(26073,plain,
% 73.80/46.71 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB181)) | (~v90(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB181)) | (~v90(constB181, bitIndex1)))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26074,plain,
% 73.80/46.71 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB181)) | (~v90(constB181, bitIndex1)))),
% 73.80/46.71 inference(quant_inst,[status(thm)],[])).
% 73.80/46.71 tff(26075,plain,
% 73.80/46.71 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB181)) | (~v90(constB181, bitIndex1))),
% 73.80/46.71 inference(modus_ponens,[status(thm)],[26074, 26073])).
% 73.80/46.71 tff(26076,plain,
% 73.80/46.71 (~v119(constB181)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26075, 1908, 26072])).
% 73.80/46.71 tff(26077,plain,
% 73.80/46.71 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB181, bitIndex1)) | (~v120(constB181)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB181, bitIndex1)) | (~v120(constB181)))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26078,plain,
% 73.80/46.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB181, bitIndex1)) | (~v120(constB181)))),
% 73.80/46.71 inference(quant_inst,[status(thm)],[])).
% 73.80/46.71 tff(26079,plain,
% 73.80/46.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB181, bitIndex1)) | (~v120(constB181))),
% 73.80/46.71 inference(modus_ponens,[status(thm)],[26078, 26077])).
% 73.80/46.71 tff(26080,plain,
% 73.80/46.71 (~v120(constB181)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26079, 1919, 26072])).
% 73.80/46.71 tff(26081,plain,
% 73.80/46.71 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB181, bitIndex1)) | (~v123(constB181)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB181, bitIndex1)) | (~v123(constB181)))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26082,plain,
% 73.80/46.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB181, bitIndex1)) | (~v123(constB181)))),
% 73.80/46.71 inference(quant_inst,[status(thm)],[])).
% 73.80/46.71 tff(26083,plain,
% 73.80/46.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB181, bitIndex1)) | (~v123(constB181))),
% 73.80/46.71 inference(modus_ponens,[status(thm)],[26082, 26081])).
% 73.80/46.71 tff(26084,plain,
% 73.80/46.71 (~v123(constB181)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26083, 1930, 26072])).
% 73.80/46.71 tff(26085,plain,
% 73.80/46.71 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB181, bitIndex1)) | (~v124(constB181)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB181, bitIndex1)) | (~v124(constB181)))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26086,plain,
% 73.80/46.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB181, bitIndex1)) | (~v124(constB181)))),
% 73.80/46.71 inference(quant_inst,[status(thm)],[])).
% 73.80/46.71 tff(26087,plain,
% 73.80/46.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB181, bitIndex1)) | (~v124(constB181))),
% 73.80/46.71 inference(modus_ponens,[status(thm)],[26086, 26085])).
% 73.80/46.71 tff(26088,plain,
% 73.80/46.71 (~v124(constB181)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26087, 1941, 26072])).
% 73.80/46.71 tff(26089,plain,
% 73.80/46.71 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB181) | v122(constB181) | v123(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v130(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB181) | v122(constB181) | v123(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v130(constB181, bitIndex0))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26090,plain,
% 73.80/46.71 ((v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, bitIndex0)) <=> (v124(constB181) | v122(constB181) | v123(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v130(constB181, bitIndex0))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26091,plain,
% 73.80/46.71 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB181) | v122(constB181) | v123(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v130(constB181, bitIndex0)))),
% 73.80/46.71 inference(monotonicity,[status(thm)],[26090])).
% 73.80/46.71 tff(26092,plain,
% 73.80/46.71 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB181) | v122(constB181) | v123(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v130(constB181, bitIndex0))),
% 73.80/46.71 inference(transitivity,[status(thm)],[26091, 26089])).
% 73.80/46.71 tff(26093,plain,
% 73.80/46.71 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, bitIndex0))),
% 73.80/46.71 inference(quant_inst,[status(thm)],[])).
% 73.80/46.71 tff(26094,plain,
% 73.80/46.71 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB181) | v122(constB181) | v123(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | v130(constB181, bitIndex0)),
% 73.80/46.71 inference(modus_ponens,[status(thm)],[26093, 26092])).
% 73.80/46.71 tff(26095,plain,
% 73.80/46.71 (v130(constB181, bitIndex0)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26094, 2192, 26088, 26084, 26080, 26076, 26041, 26037])).
% 73.80/46.71 tff(26096,assumption,(v26(constB181)), introduced(assumption)).
% 73.80/46.71 tff(26097,plain,
% 73.80/46.71 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB181))),
% 73.80/46.71 inference(quant_inst,[status(thm)],[])).
% 73.80/46.71 tff(26098,plain,
% 73.80/46.71 ($false),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26097, 37, 26096])).
% 73.80/46.71 tff(26099,plain,(~v26(constB181)), inference(lemma,lemma(discharge,[]))).
% 73.80/46.71 tff(26100,plain,
% 73.80/46.71 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB181) | (~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB181) | (~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26101,plain,
% 73.80/46.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB181) | (~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0))),
% 73.80/46.71 inference(quant_inst,[status(thm)],[])).
% 73.80/46.71 tff(26102,plain,
% 73.80/46.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB181) | (~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0)),
% 73.80/46.71 inference(modus_ponens,[status(thm)],[26101, 26100])).
% 73.80/46.71 tff(26103,plain,
% 73.80/46.71 ((~v130(constB181, bitIndex0)) | v127(constB181, bitIndex0)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26102, 179, 26099])).
% 73.80/46.71 tff(26104,plain,
% 73.80/46.71 (v127(constB181, bitIndex0)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26103, 26095])).
% 73.80/46.71 tff(26105,plain,
% 73.80/46.71 (nextState(constB181, constB182) <=> nextState(constB181, constB182)),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26106,axiom,(nextState(constB181, constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_181_1')).
% 73.80/46.71 tff(26107,plain,
% 73.80/46.71 (nextState(constB181, constB182)),
% 73.80/46.71 inference(modus_ponens,[status(thm)],[26106, 26105])).
% 73.80/46.71 tff(26108,plain,
% 73.80/46.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB181, constB182)) | (~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB181, constB182)) | (~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26109,plain,
% 73.80/46.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB181, constB182)) | (~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0))),
% 73.80/46.71 inference(quant_inst,[status(thm)],[])).
% 73.80/46.71 tff(26110,plain,
% 73.80/46.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB181, constB182)) | (~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0)),
% 73.80/46.71 inference(modus_ponens,[status(thm)],[26109, 26108])).
% 73.80/46.71 tff(26111,plain,
% 73.80/46.71 ((~v127(constB181, bitIndex0)) | v129(constB182, bitIndex0)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26110, 197, 26107])).
% 73.80/46.71 tff(26112,plain,
% 73.80/46.71 (v129(constB182, bitIndex0)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26111, 26104])).
% 73.80/46.71 tff(26113,assumption,(~v26(constB179)), introduced(assumption)).
% 73.80/46.71 tff(26114,plain,
% 73.80/46.71 (v127(constB179, bitIndex2)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[25927, 26113])).
% 73.80/46.71 tff(26115,plain,
% 73.80/46.71 (v129(constB180, bitIndex2)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[25935, 26114])).
% 73.80/46.71 tff(26116,plain,
% 73.80/46.71 (v90(constB180, bitIndex2)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26005, 26115])).
% 73.80/46.71 tff(26117,plain,
% 73.80/46.71 (v90(constB181, bitIndex2)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26032, 26116])).
% 73.80/46.71 tff(26118,plain,
% 73.80/46.71 (v127(constB179, bitIndex1)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26049, 26113])).
% 73.80/46.71 tff(26119,plain,
% 73.80/46.71 (v129(constB180, bitIndex1)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26054, 26118])).
% 73.80/46.71 tff(26120,plain,
% 73.80/46.71 (v90(constB180, bitIndex1)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26062, 26119])).
% 73.80/46.71 tff(26121,plain,
% 73.80/46.71 (v90(constB181, bitIndex1)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26071, 26120])).
% 73.80/46.71 tff(26122,plain,
% 73.80/46.71 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB179)) | (~v130(constB179, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB179)) | (~v130(constB179, bitIndex0)))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26123,plain,
% 73.80/46.71 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB179)) | (~v130(constB179, bitIndex0)))),
% 73.80/46.71 inference(quant_inst,[status(thm)],[])).
% 73.80/46.71 tff(26124,plain,
% 73.80/46.71 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB179)) | (~v130(constB179, bitIndex0))),
% 73.80/46.71 inference(modus_ponens,[status(thm)],[26123, 26122])).
% 73.80/46.71 tff(26125,plain,
% 73.80/46.71 (~v130(constB179, bitIndex0)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26124, 1992, 25919])).
% 73.80/46.71 tff(26126,plain,
% 73.80/46.71 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26127,plain,
% 73.80/46.71 ((v26(constB179) | v130(constB179, bitIndex0) | (~v127(constB179, bitIndex0))) <=> ((~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26128,plain,
% 73.80/46.71 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB179) | v130(constB179, bitIndex0) | (~v127(constB179, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0)))),
% 73.80/46.71 inference(monotonicity,[status(thm)],[26127])).
% 73.80/46.71 tff(26129,plain,
% 73.80/46.71 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB179) | v130(constB179, bitIndex0) | (~v127(constB179, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0))),
% 73.80/46.71 inference(transitivity,[status(thm)],[26128, 26126])).
% 73.80/46.71 tff(26130,plain,
% 73.80/46.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB179) | v130(constB179, bitIndex0) | (~v127(constB179, bitIndex0)))),
% 73.80/46.71 inference(quant_inst,[status(thm)],[])).
% 73.80/46.71 tff(26131,plain,
% 73.80/46.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB179, bitIndex0)) | v26(constB179) | v130(constB179, bitIndex0)),
% 73.80/46.71 inference(modus_ponens,[status(thm)],[26130, 26129])).
% 73.80/46.71 tff(26132,plain,
% 73.80/46.71 ((~v127(constB179, bitIndex0)) | v26(constB179)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26131, 905, 26125])).
% 73.80/46.71 tff(26133,plain,
% 73.80/46.71 (~v127(constB179, bitIndex0)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26132, 26113])).
% 73.80/46.71 tff(26134,plain,
% 73.80/46.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB179, constB180)) | v127(constB179, bitIndex0) | (~v129(constB180, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB179, constB180)) | v127(constB179, bitIndex0) | (~v129(constB180, bitIndex0)))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26135,plain,
% 73.80/46.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB179, constB180)) | v127(constB179, bitIndex0) | (~v129(constB180, bitIndex0)))),
% 73.80/46.71 inference(quant_inst,[status(thm)],[])).
% 73.80/46.71 tff(26136,plain,
% 73.80/46.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB179, constB180)) | v127(constB179, bitIndex0) | (~v129(constB180, bitIndex0))),
% 73.80/46.71 inference(modus_ponens,[status(thm)],[26135, 26134])).
% 73.80/46.71 tff(26137,plain,
% 73.80/46.71 (v127(constB179, bitIndex0) | (~v129(constB180, bitIndex0))),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26136, 923, 25931])).
% 73.80/46.71 tff(26138,plain,
% 73.80/46.71 (~v129(constB180, bitIndex0)),
% 73.80/46.71 inference(unit_resolution,[status(thm)],[26137, 26133])).
% 73.80/46.71 tff(26139,plain,
% 73.80/46.71 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0) | (~v100(constB180)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0) | (~v100(constB180)))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26140,plain,
% 73.80/46.71 (((~v90(constB180, bitIndex0)) | (~v100(constB180)) | v129(constB180, bitIndex0)) <=> ((~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0) | (~v100(constB180)))),
% 73.80/46.71 inference(rewrite,[status(thm)],[])).
% 73.80/46.71 tff(26141,plain,
% 73.80/46.71 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | (~v100(constB180)) | v129(constB180, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0) | (~v100(constB180))))),
% 73.80/46.71 inference(monotonicity,[status(thm)],[26140])).
% 73.80/46.71 tff(26142,plain,
% 73.80/46.71 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | (~v100(constB180)) | v129(constB180, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0) | (~v100(constB180)))),
% 73.80/46.71 inference(transitivity,[status(thm)],[26141, 26139])).
% 73.80/46.71 tff(26143,plain,
% 73.80/46.71 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB180, bitIndex0)) | (~v100(constB180)) | v129(constB180, bitIndex0))),
% 73.80/46.71 inference(quant_inst,[status(thm)],[])).
% 73.80/46.71 tff(26144,plain,
% 73.80/46.71 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0) | (~v100(constB180))),
% 73.80/46.72 inference(modus_ponens,[status(thm)],[26143, 26142])).
% 73.80/46.72 tff(26145,plain,
% 73.80/46.72 ((~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26144, 938, 25998])).
% 73.80/46.72 tff(26146,plain,
% 73.80/46.72 (~v90(constB180, bitIndex0)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26145, 26138])).
% 73.80/46.72 tff(26147,plain,
% 73.80/46.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex0)))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26148,plain,
% 73.80/46.72 (((~nextState(constB180, constB181)) | v90(constB180, bitIndex0) | v100(constB181) | (~v90(constB181, bitIndex0))) <=> (v90(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex0)))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26149,plain,
% 73.80/46.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB180, constB181)) | v90(constB180, bitIndex0) | v100(constB181) | (~v90(constB181, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex0))))),
% 73.80/46.72 inference(monotonicity,[status(thm)],[26148])).
% 73.80/46.72 tff(26150,plain,
% 73.80/46.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB180, constB181)) | v90(constB180, bitIndex0) | v100(constB181) | (~v90(constB181, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex0)))),
% 73.80/46.72 inference(transitivity,[status(thm)],[26149, 26147])).
% 73.80/46.72 tff(26151,plain,
% 73.80/46.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB180, constB181)) | v90(constB180, bitIndex0) | v100(constB181) | (~v90(constB181, bitIndex0)))),
% 73.80/46.72 inference(quant_inst,[status(thm)],[])).
% 73.80/46.72 tff(26152,plain,
% 73.80/46.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex0))),
% 73.80/46.72 inference(modus_ponens,[status(thm)],[26151, 26150])).
% 73.80/46.72 tff(26153,plain,
% 73.80/46.72 (v90(constB180, bitIndex0) | v100(constB181) | (~v90(constB181, bitIndex0))),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26152, 130, 26012])).
% 73.80/46.72 tff(26154,plain,
% 73.80/46.72 (v90(constB180, bitIndex0) | (~v90(constB181, bitIndex0))),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26153, 26024])).
% 73.80/46.72 tff(26155,plain,
% 73.80/46.72 (~v90(constB181, bitIndex0)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26154, 26146])).
% 73.80/46.72 tff(26156,plain,
% 73.80/46.72 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)) | v125(constB181))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)) | v125(constB181))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26157,plain,
% 73.80/46.72 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)) | v125(constB181))),
% 73.80/46.72 inference(quant_inst,[status(thm)],[])).
% 73.80/46.72 tff(26158,plain,
% 73.80/46.72 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)) | v125(constB181)),
% 73.80/46.72 inference(modus_ponens,[status(thm)],[26157, 26156])).
% 73.80/46.72 tff(26159,plain,
% 73.80/46.72 (v125(constB181)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26158, 2036, 26155, 26121, 26117])).
% 73.80/46.72 tff(26160,plain,
% 73.80/46.72 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB181) | (~v125(constB181)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB181) | (~v125(constB181)))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26161,plain,
% 73.80/46.72 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB181) | (~v125(constB181)))),
% 73.80/46.72 inference(quant_inst,[status(thm)],[])).
% 73.80/46.72 tff(26162,plain,
% 73.80/46.72 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB181) | (~v125(constB181))),
% 73.80/46.72 inference(modus_ponens,[status(thm)],[26161, 26160])).
% 73.80/46.72 tff(26163,plain,
% 73.80/46.72 (v113(constB181)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26162, 2047, 26159])).
% 73.80/46.72 tff(26164,plain,
% 73.80/46.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | (~v113(constB181)) | v112(constB181))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB181) | (~v113(constB181)) | v112(constB181))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26165,plain,
% 73.80/46.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | (~v113(constB181)) | v112(constB181))),
% 73.80/46.72 inference(quant_inst,[status(thm)],[])).
% 73.80/46.72 tff(26166,plain,
% 73.80/46.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB181) | (~v113(constB181)) | v112(constB181)),
% 73.80/46.72 inference(modus_ponens,[status(thm)],[26165, 26164])).
% 73.80/46.72 tff(26167,plain,
% 73.80/46.72 ((~v113(constB181)) | v112(constB181)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26166, 301, 26099])).
% 73.80/46.72 tff(26168,plain,
% 73.80/46.72 (v112(constB181)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26167, 26163])).
% 73.80/46.72 tff(26169,plain,
% 73.80/46.72 (~v121(constB181)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26036, 1842, 26117])).
% 73.80/46.72 tff(26170,plain,
% 73.80/46.72 (~v122(constB181)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26040, 1853, 26117])).
% 73.80/46.72 tff(26171,plain,
% 73.80/46.72 (~v119(constB181)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26075, 1908, 26121])).
% 73.80/46.72 tff(26172,plain,
% 73.80/46.72 (~v120(constB181)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26079, 1919, 26121])).
% 73.80/46.72 tff(26173,plain,
% 73.80/46.72 (~v123(constB181)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26083, 1930, 26121])).
% 73.80/46.72 tff(26174,plain,
% 73.80/46.72 (~v124(constB181)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26087, 1941, 26121])).
% 73.80/46.72 tff(26175,plain,
% 73.80/46.72 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB181) | v122(constB181) | v123(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~v130(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB181) | v122(constB181) | v123(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~v130(constB181, bitIndex2)))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26176,plain,
% 73.80/46.72 ((v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex2))) <=> (v124(constB181) | v122(constB181) | v123(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~v130(constB181, bitIndex2)))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26177,plain,
% 73.80/46.72 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB181) | v122(constB181) | v123(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~v130(constB181, bitIndex2))))),
% 73.80/46.72 inference(monotonicity,[status(thm)],[26176])).
% 73.80/46.72 tff(26178,plain,
% 73.80/46.72 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB181) | v122(constB181) | v123(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~v130(constB181, bitIndex2)))),
% 73.80/46.72 inference(transitivity,[status(thm)],[26177, 26175])).
% 73.80/46.72 tff(26179,plain,
% 73.80/46.72 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex2)))),
% 73.80/46.72 inference(quant_inst,[status(thm)],[])).
% 73.80/46.72 tff(26180,plain,
% 73.80/46.72 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB181) | v122(constB181) | v123(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~v130(constB181, bitIndex2))),
% 73.80/46.72 inference(modus_ponens,[status(thm)],[26179, 26178])).
% 73.80/46.72 tff(26181,plain,
% 73.80/46.72 (~v130(constB181, bitIndex2)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26180, 1955, 26174, 26173, 26172, 26171, 26170, 26169])).
% 73.80/46.72 tff(26182,plain,
% 73.80/46.72 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26183,plain,
% 73.80/46.72 ((v26(constB181) | v130(constB181, bitIndex2) | (~v127(constB181, bitIndex2))) <=> ((~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26184,plain,
% 73.80/46.72 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB181) | v130(constB181, bitIndex2) | (~v127(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2)))),
% 73.80/46.72 inference(monotonicity,[status(thm)],[26183])).
% 73.80/46.72 tff(26185,plain,
% 73.80/46.72 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB181) | v130(constB181, bitIndex2) | (~v127(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2))),
% 73.80/46.72 inference(transitivity,[status(thm)],[26184, 26182])).
% 73.80/46.72 tff(26186,plain,
% 73.80/46.72 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB181) | v130(constB181, bitIndex2) | (~v127(constB181, bitIndex2)))),
% 73.80/46.72 inference(quant_inst,[status(thm)],[])).
% 73.80/46.72 tff(26187,plain,
% 73.80/46.72 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB181, bitIndex2)) | v26(constB181) | v130(constB181, bitIndex2)),
% 73.80/46.72 inference(modus_ponens,[status(thm)],[26186, 26185])).
% 73.80/46.72 tff(26188,plain,
% 73.80/46.72 ((~v127(constB181, bitIndex2)) | v130(constB181, bitIndex2)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26187, 470, 26099])).
% 73.80/46.72 tff(26189,plain,
% 73.80/46.72 (~v127(constB181, bitIndex2)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26188, 26181])).
% 73.80/46.72 tff(26190,plain,
% 73.80/46.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex2) | (~v129(constB182, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex2) | (~v129(constB182, bitIndex2)))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26191,plain,
% 73.80/46.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex2) | (~v129(constB182, bitIndex2)))),
% 73.80/46.72 inference(quant_inst,[status(thm)],[])).
% 73.80/46.72 tff(26192,plain,
% 73.80/46.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex2) | (~v129(constB182, bitIndex2))),
% 73.80/46.72 inference(modus_ponens,[status(thm)],[26191, 26190])).
% 73.80/46.72 tff(26193,plain,
% 73.80/46.72 (v127(constB181, bitIndex2) | (~v129(constB182, bitIndex2))),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26192, 488, 26107])).
% 73.80/46.72 tff(26194,plain,
% 73.80/46.72 (~v129(constB182, bitIndex2)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26193, 26189])).
% 73.80/46.72 tff(26195,assumption,(v90(constB182, bitIndex2)), introduced(assumption)).
% 73.80/46.72 tff(26196,plain,
% 73.80/46.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2) | (~v100(constB182)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2) | (~v100(constB182)))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26197,plain,
% 73.80/46.72 (((~v90(constB182, bitIndex2)) | (~v100(constB182)) | v129(constB182, bitIndex2)) <=> ((~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2) | (~v100(constB182)))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26198,plain,
% 73.80/46.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB182, bitIndex2)) | (~v100(constB182)) | v129(constB182, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2) | (~v100(constB182))))),
% 73.80/46.72 inference(monotonicity,[status(thm)],[26197])).
% 73.80/46.72 tff(26199,plain,
% 73.80/46.72 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB182, bitIndex2)) | (~v100(constB182)) | v129(constB182, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2) | (~v100(constB182)))),
% 73.80/46.72 inference(transitivity,[status(thm)],[26198, 26196])).
% 73.80/46.72 tff(26200,plain,
% 73.80/46.72 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB182, bitIndex2)) | (~v100(constB182)) | v129(constB182, bitIndex2))),
% 73.80/46.72 inference(quant_inst,[status(thm)],[])).
% 73.80/46.72 tff(26201,plain,
% 73.80/46.72 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2) | (~v100(constB182))),
% 73.80/46.72 inference(modus_ponens,[status(thm)],[26200, 26199])).
% 73.80/46.72 tff(26202,plain,
% 73.80/46.72 (v129(constB182, bitIndex2) | (~v100(constB182))),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26201, 503, 26195])).
% 73.80/46.72 tff(26203,plain,
% 73.80/46.72 (~v100(constB182)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26202, 26194])).
% 73.80/46.72 tff(26204,plain,
% 73.80/46.72 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26205,plain,
% 73.80/46.72 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))),
% 73.80/46.72 inference(quant_inst,[status(thm)],[])).
% 73.80/46.72 tff(26206,plain,
% 73.80/46.72 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182))),
% 73.80/46.72 inference(modus_ponens,[status(thm)],[26205, 26204])).
% 73.80/46.72 tff(26207,plain,
% 73.80/46.72 (~v104(constB182)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26206, 335, 26107, 26009])).
% 73.80/46.72 tff(26208,plain,
% 73.80/46.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26209,plain,
% 73.80/46.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))),
% 73.80/46.72 inference(quant_inst,[status(thm)],[])).
% 73.80/46.72 tff(26210,plain,
% 73.80/46.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB181, constB182)) | v102(constB182) | v104(constB182)),
% 73.80/46.72 inference(modus_ponens,[status(thm)],[26209, 26208])).
% 73.80/46.72 tff(26211,plain,
% 73.80/46.72 (v102(constB182) | v104(constB182)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26210, 349, 26107])).
% 73.80/46.72 tff(26212,plain,
% 73.80/46.72 (v102(constB182)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26211, 26207])).
% 73.80/46.72 tff(26213,plain,
% 73.80/46.72 (v1(constB182) <=> v1(constB182)),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26214,axiom,(v1(constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_182_1')).
% 73.80/46.72 tff(26215,plain,
% 73.80/46.72 (v1(constB182)),
% 73.80/46.72 inference(modus_ponens,[status(thm)],[26214, 26213])).
% 73.80/46.72 tff(26216,plain,
% 73.80/46.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26217,plain,
% 73.80/46.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))),
% 73.80/46.72 inference(quant_inst,[status(thm)],[])).
% 73.80/46.72 tff(26218,plain,
% 73.80/46.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182))),
% 73.80/46.72 inference(modus_ponens,[status(thm)],[26217, 26216])).
% 73.80/46.72 tff(26219,plain,
% 73.80/46.72 (v101(constB182) | (~v102(constB182))),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26218, 367, 26107, 26215])).
% 73.80/46.72 tff(26220,plain,
% 73.80/46.72 (v101(constB182)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26219, 26212])).
% 73.80/46.72 tff(26221,plain,
% 73.80/46.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26222,plain,
% 73.80/46.72 (((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182)) <=> ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26223,plain,
% 73.80/46.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182))))),
% 73.80/46.72 inference(monotonicity,[status(thm)],[26222])).
% 73.80/46.72 tff(26224,plain,
% 73.80/46.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 73.80/46.72 inference(transitivity,[status(thm)],[26223, 26221])).
% 73.80/46.72 tff(26225,plain,
% 73.80/46.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))),
% 73.80/46.72 inference(quant_inst,[status(thm)],[])).
% 73.80/46.72 tff(26226,plain,
% 73.80/46.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182))),
% 73.80/46.72 inference(modus_ponens,[status(thm)],[26225, 26224])).
% 73.80/46.72 tff(26227,plain,
% 73.80/46.72 (v100(constB182) | (~v101(constB182)) | (~v110(constB182))),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26226, 382, 26107])).
% 73.80/46.72 tff(26228,plain,
% 73.80/46.72 (v100(constB182) | (~v110(constB182))),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26227, 26220])).
% 73.80/46.72 tff(26229,plain,
% 73.80/46.72 (~v110(constB182)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26228, 26203])).
% 73.80/46.72 tff(26230,plain,
% 73.80/46.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26231,plain,
% 73.80/46.72 (((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182)) <=> ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26232,plain,
% 73.80/46.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181))))),
% 73.80/46.72 inference(monotonicity,[status(thm)],[26231])).
% 73.80/46.72 tff(26233,plain,
% 73.80/46.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 73.80/46.72 inference(transitivity,[status(thm)],[26232, 26230])).
% 73.80/46.72 tff(26234,plain,
% 73.80/46.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))),
% 73.80/46.72 inference(quant_inst,[status(thm)],[])).
% 73.80/46.72 tff(26235,plain,
% 73.80/46.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181))),
% 73.80/46.72 inference(modus_ponens,[status(thm)],[26234, 26233])).
% 73.80/46.72 tff(26236,plain,
% 73.80/46.72 (v110(constB182) | (~v108(constB181))),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26235, 317, 26107])).
% 73.80/46.72 tff(26237,plain,
% 73.80/46.72 (~v108(constB181)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26236, 26229])).
% 73.80/46.72 tff(26238,plain,
% 73.80/46.72 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB181) | (~v112(constB181)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB181) | (~v112(constB181)))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26239,plain,
% 73.80/46.72 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB181) | (~v112(constB181)))),
% 73.80/46.72 inference(quant_inst,[status(thm)],[])).
% 73.80/46.72 tff(26240,plain,
% 73.80/46.72 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB181) | (~v112(constB181))),
% 73.80/46.72 inference(modus_ponens,[status(thm)],[26239, 26238])).
% 73.80/46.72 tff(26241,plain,
% 73.80/46.72 ($false),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26240, 210, 26237, 26168])).
% 73.80/46.72 tff(26242,plain,(v26(constB179) | (~v90(constB182, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 73.80/46.72 tff(26243,plain,
% 73.80/46.72 (~v90(constB182, bitIndex2)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26242, 21204])).
% 73.80/46.72 tff(26244,plain,
% 73.80/46.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB181, bitIndex2)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB181, bitIndex2)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex2))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26245,plain,
% 73.80/46.72 (((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex2)) | v100(constB182) | v90(constB182, bitIndex2)) <=> ((~v90(constB181, bitIndex2)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex2))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26246,plain,
% 73.80/46.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex2)) | v100(constB182) | v90(constB182, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB181, bitIndex2)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex2)))),
% 73.80/46.72 inference(monotonicity,[status(thm)],[26245])).
% 73.80/46.72 tff(26247,plain,
% 73.80/46.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex2)) | v100(constB182) | v90(constB182, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB181, bitIndex2)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex2))),
% 73.80/46.72 inference(transitivity,[status(thm)],[26246, 26244])).
% 73.80/46.72 tff(26248,plain,
% 73.80/46.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB181, constB182)) | (~v90(constB181, bitIndex2)) | v100(constB182) | v90(constB182, bitIndex2))),
% 73.80/46.72 inference(quant_inst,[status(thm)],[])).
% 73.80/46.72 tff(26249,plain,
% 73.80/46.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB181, bitIndex2)) | (~nextState(constB181, constB182)) | v100(constB182) | v90(constB182, bitIndex2)),
% 73.80/46.72 inference(modus_ponens,[status(thm)],[26248, 26247])).
% 73.80/46.72 tff(26250,plain,
% 73.80/46.72 ((~v90(constB181, bitIndex2)) | v100(constB182) | v90(constB182, bitIndex2)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26249, 1370, 26107])).
% 73.80/46.72 tff(26251,plain,
% 73.80/46.72 (v100(constB182)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26250, 26033, 26243])).
% 73.80/46.72 tff(26252,plain,
% 73.80/46.72 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182)))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26253,plain,
% 73.80/46.72 ((v90(constB182, bitIndex0) | (~v100(constB182)) | (~v129(constB182, bitIndex0))) <=> (v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182)))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26254,plain,
% 73.80/46.72 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~v100(constB182)) | (~v129(constB182, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182))))),
% 73.80/46.72 inference(monotonicity,[status(thm)],[26253])).
% 73.80/46.72 tff(26255,plain,
% 73.80/46.72 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~v100(constB182)) | (~v129(constB182, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182)))),
% 73.80/46.72 inference(transitivity,[status(thm)],[26254, 26252])).
% 73.80/46.72 tff(26256,plain,
% 73.80/46.72 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB182, bitIndex0) | (~v100(constB182)) | (~v129(constB182, bitIndex0)))),
% 73.80/46.72 inference(quant_inst,[status(thm)],[])).
% 73.80/46.72 tff(26257,plain,
% 73.80/46.72 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0)) | (~v100(constB182))),
% 73.80/46.72 inference(modus_ponens,[status(thm)],[26256, 26255])).
% 73.80/46.72 tff(26258,plain,
% 73.80/46.72 (v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0))),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26257, 401, 26251])).
% 73.80/46.72 tff(26259,plain,
% 73.80/46.72 (v90(constB182, bitIndex0)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26258, 26112])).
% 73.80/46.72 tff(26260,plain,
% 73.80/46.72 ((~v1(constB183)) <=> (~v1(constB183))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26261,axiom,(~v1(constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_183_1_1')).
% 73.80/46.72 tff(26262,plain,
% 73.80/46.72 (~v1(constB183)),
% 73.80/46.72 inference(modus_ponens,[status(thm)],[26261, 26260])).
% 73.80/46.72 tff(26263,plain,
% 73.80/46.72 (nextState(constB182, constB183) <=> nextState(constB182, constB183)),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26264,axiom,(nextState(constB182, constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_182_1')).
% 73.80/46.72 tff(26265,plain,
% 73.80/46.72 (nextState(constB182, constB183)),
% 73.80/46.72 inference(modus_ponens,[status(thm)],[26264, 26263])).
% 73.80/46.72 tff(26266,plain,
% 73.80/46.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26267,plain,
% 73.80/46.72 (((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183)) <=> (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26268,plain,
% 73.80/46.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183))))),
% 73.80/46.72 inference(monotonicity,[status(thm)],[26267])).
% 73.80/46.72 tff(26269,plain,
% 73.80/46.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 73.80/46.72 inference(transitivity,[status(thm)],[26268, 26266])).
% 73.80/46.72 tff(26270,plain,
% 73.80/46.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))),
% 73.80/46.72 inference(quant_inst,[status(thm)],[])).
% 73.80/46.72 tff(26271,plain,
% 73.80/46.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183))),
% 73.80/46.72 inference(modus_ponens,[status(thm)],[26270, 26269])).
% 73.80/46.72 tff(26272,plain,
% 73.80/46.72 (~v101(constB183)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26271, 56, 26265, 26262])).
% 73.80/46.72 tff(26273,plain,
% 73.80/46.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26274,plain,
% 73.80/46.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))),
% 73.80/46.72 inference(quant_inst,[status(thm)],[])).
% 73.80/46.72 tff(26275,plain,
% 73.80/46.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183))),
% 73.80/46.72 inference(modus_ponens,[status(thm)],[26274, 26273])).
% 73.80/46.72 tff(26276,plain,
% 73.80/46.72 (v101(constB183) | (~v100(constB183))),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26275, 73, 26265])).
% 73.80/46.72 tff(26277,plain,
% 73.80/46.72 (~v100(constB183)),
% 73.80/46.72 inference(unit_resolution,[status(thm)],[26276, 26272])).
% 73.80/46.72 tff(26278,plain,
% 73.80/46.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26279,plain,
% 73.80/46.72 (((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0)) <=> ((~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0))),
% 73.80/46.72 inference(rewrite,[status(thm)],[])).
% 73.80/46.72 tff(26280,plain,
% 73.80/46.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0)))),
% 73.80/46.72 inference(monotonicity,[status(thm)],[26279])).
% 73.80/46.72 tff(26281,plain,
% 73.80/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0))),
% 73.80/46.73 inference(transitivity,[status(thm)],[26280, 26278])).
% 73.80/46.73 tff(26282,plain,
% 73.80/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0))),
% 73.80/46.73 inference(quant_inst,[status(thm)],[])).
% 73.80/46.73 tff(26283,plain,
% 73.80/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex0)),
% 73.80/46.73 inference(modus_ponens,[status(thm)],[26282, 26281])).
% 73.80/46.73 tff(26284,plain,
% 73.80/46.73 ((~v90(constB182, bitIndex0)) | v100(constB183) | v90(constB183, bitIndex0)),
% 73.80/46.73 inference(unit_resolution,[status(thm)],[26283, 437, 26265])).
% 73.80/46.73 tff(26285,plain,
% 73.80/46.73 ((~v90(constB182, bitIndex0)) | v90(constB183, bitIndex0)),
% 73.80/46.73 inference(unit_resolution,[status(thm)],[26284, 26277])).
% 73.80/46.73 tff(26286,plain,
% 73.80/46.73 (v90(constB183, bitIndex0)),
% 73.80/46.73 inference(unit_resolution,[status(thm)],[26285, 26259])).
% 73.80/46.73 tff(26287,plain,
% 73.80/46.73 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB181) | v122(constB181) | v123(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~v130(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB181) | v122(constB181) | v123(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~v130(constB181, bitIndex1)))),
% 73.80/46.73 inference(rewrite,[status(thm)],[])).
% 73.80/46.73 tff(26288,plain,
% 73.80/46.73 ((v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex1))) <=> (v124(constB181) | v122(constB181) | v123(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~v130(constB181, bitIndex1)))),
% 73.80/46.73 inference(rewrite,[status(thm)],[])).
% 73.80/46.73 tff(26289,plain,
% 73.80/46.73 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB181) | v122(constB181) | v123(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~v130(constB181, bitIndex1))))),
% 73.80/46.73 inference(monotonicity,[status(thm)],[26288])).
% 73.80/46.73 tff(26290,plain,
% 73.80/46.73 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB181) | v122(constB181) | v123(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~v130(constB181, bitIndex1)))),
% 73.80/46.73 inference(transitivity,[status(thm)],[26289, 26287])).
% 73.80/46.73 tff(26291,plain,
% 73.80/46.73 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB181) | v119(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, bitIndex1)))),
% 73.80/46.73 inference(quant_inst,[status(thm)],[])).
% 73.80/46.73 tff(26292,plain,
% 73.80/46.73 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB181) | v122(constB181) | v123(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~v130(constB181, bitIndex1))),
% 73.80/46.73 inference(modus_ponens,[status(thm)],[26291, 26290])).
% 73.80/46.73 tff(26293,plain,
% 73.80/46.73 (~v130(constB181, bitIndex1)),
% 73.80/46.73 inference(unit_resolution,[status(thm)],[26292, 2146, 26088, 26084, 26080, 26076, 26041, 26037])).
% 73.80/46.73 tff(26294,plain,
% 73.80/46.73 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))),
% 73.80/46.73 inference(rewrite,[status(thm)],[])).
% 73.80/46.73 tff(26295,plain,
% 73.80/46.73 ((v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1))) <=> ((~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))),
% 73.80/46.73 inference(rewrite,[status(thm)],[])).
% 73.80/46.73 tff(26296,plain,
% 73.80/46.73 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1)))),
% 73.80/46.73 inference(monotonicity,[status(thm)],[26295])).
% 73.80/46.73 tff(26297,plain,
% 73.80/46.73 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))),
% 73.80/46.73 inference(transitivity,[status(thm)],[26296, 26294])).
% 73.80/46.73 tff(26298,plain,
% 73.80/46.73 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1)))),
% 73.80/46.73 inference(quant_inst,[status(thm)],[])).
% 73.80/46.73 tff(26299,plain,
% 73.80/46.73 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1)),
% 73.80/46.73 inference(modus_ponens,[status(thm)],[26298, 26297])).
% 73.80/46.73 tff(26300,plain,
% 73.80/46.73 ((~v127(constB181, bitIndex1)) | v130(constB181, bitIndex1)),
% 73.80/46.73 inference(unit_resolution,[status(thm)],[26299, 555, 26099])).
% 73.80/46.73 tff(26301,plain,
% 73.80/46.73 (~v127(constB181, bitIndex1)),
% 73.80/46.73 inference(unit_resolution,[status(thm)],[26300, 26293])).
% 73.80/46.73 tff(26302,plain,
% 73.80/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1)))),
% 73.80/46.73 inference(rewrite,[status(thm)],[])).
% 73.80/46.73 tff(26303,plain,
% 73.80/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1)))),
% 73.80/46.73 inference(quant_inst,[status(thm)],[])).
% 73.80/46.73 tff(26304,plain,
% 73.80/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1))),
% 73.80/46.73 inference(modus_ponens,[status(thm)],[26303, 26302])).
% 73.90/46.73 tff(26305,plain,
% 73.90/46.73 (v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1))),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26304, 588, 26107])).
% 73.90/46.73 tff(26306,plain,
% 73.90/46.73 (~v129(constB182, bitIndex1)),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26305, 26301])).
% 73.90/46.73 tff(26307,plain,
% 73.90/46.73 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26308,plain,
% 73.90/46.73 (((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1)) <=> ((~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26309,plain,
% 73.90/46.73 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182))))),
% 73.90/46.73 inference(monotonicity,[status(thm)],[26308])).
% 73.90/46.73 tff(26310,plain,
% 73.90/46.73 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))),
% 73.90/46.73 inference(transitivity,[status(thm)],[26309, 26307])).
% 73.90/46.73 tff(26311,plain,
% 73.90/46.73 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1))),
% 73.90/46.73 inference(quant_inst,[status(thm)],[])).
% 73.90/46.73 tff(26312,plain,
% 73.90/46.73 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182))),
% 73.90/46.73 inference(modus_ponens,[status(thm)],[26311, 26310])).
% 73.90/46.73 tff(26313,plain,
% 73.90/46.73 ((~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1)),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26312, 603, 26251])).
% 73.90/46.73 tff(26314,plain,
% 73.90/46.73 (~v90(constB182, bitIndex1)),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26313, 26306])).
% 73.90/46.73 tff(26315,plain,
% 73.90/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26316,plain,
% 73.90/46.73 (((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1))) <=> (v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26317,plain,
% 73.90/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1))))),
% 73.90/46.73 inference(monotonicity,[status(thm)],[26316])).
% 73.90/46.73 tff(26318,plain,
% 73.90/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 73.90/46.73 inference(transitivity,[status(thm)],[26317, 26315])).
% 73.90/46.73 tff(26319,plain,
% 73.90/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 73.90/46.73 inference(quant_inst,[status(thm)],[])).
% 73.90/46.73 tff(26320,plain,
% 73.90/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1))),
% 73.90/46.73 inference(modus_ponens,[status(thm)],[26319, 26318])).
% 73.90/46.73 tff(26321,plain,
% 73.90/46.73 (v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1))),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26320, 109, 26265])).
% 73.90/46.73 tff(26322,plain,
% 73.90/46.73 (v90(constB182, bitIndex1) | (~v90(constB183, bitIndex1))),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26321, 26277])).
% 73.90/46.73 tff(26323,plain,
% 73.90/46.73 (~v90(constB183, bitIndex1)),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26322, 26314])).
% 73.90/46.73 tff(26324,plain,
% 73.90/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex2)))),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26325,plain,
% 73.90/46.73 (((~nextState(constB182, constB183)) | v90(constB182, bitIndex2) | v100(constB183) | (~v90(constB183, bitIndex2))) <=> (v90(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex2)))),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26326,plain,
% 73.90/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex2) | v100(constB183) | (~v90(constB183, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex2))))),
% 73.90/46.73 inference(monotonicity,[status(thm)],[26325])).
% 73.90/46.73 tff(26327,plain,
% 73.90/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex2) | v100(constB183) | (~v90(constB183, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex2)))),
% 73.90/46.73 inference(transitivity,[status(thm)],[26326, 26324])).
% 73.90/46.73 tff(26328,plain,
% 73.90/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB182, constB183)) | v90(constB182, bitIndex2) | v100(constB183) | (~v90(constB183, bitIndex2)))),
% 73.90/46.73 inference(quant_inst,[status(thm)],[])).
% 73.90/46.73 tff(26329,plain,
% 73.90/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex2))),
% 73.90/46.73 inference(modus_ponens,[status(thm)],[26328, 26327])).
% 73.90/46.73 tff(26330,plain,
% 73.90/46.73 (v90(constB182, bitIndex2) | v100(constB183) | (~v90(constB183, bitIndex2))),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26329, 88, 26265])).
% 73.90/46.73 tff(26331,plain,
% 73.90/46.73 (v90(constB182, bitIndex2) | (~v90(constB183, bitIndex2))),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26330, 26277])).
% 73.90/46.73 tff(26332,plain,
% 73.90/46.73 (~v90(constB183, bitIndex2)),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26331, 26243])).
% 73.90/46.73 tff(26333,plain,
% 73.90/46.73 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183))),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26334,plain,
% 73.90/46.73 (((~v90(constB183, bitIndex0)) | v120(constB183) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2)) <=> ((~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183))),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26335,plain,
% 73.90/46.73 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB183, bitIndex0)) | v120(constB183) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183)))),
% 73.90/46.73 inference(monotonicity,[status(thm)],[26334])).
% 73.90/46.73 tff(26336,plain,
% 73.90/46.73 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB183, bitIndex0)) | v120(constB183) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183))),
% 73.90/46.73 inference(transitivity,[status(thm)],[26335, 26333])).
% 73.90/46.73 tff(26337,plain,
% 73.90/46.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB183, bitIndex0)) | v120(constB183) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2))),
% 73.90/46.73 inference(quant_inst,[status(thm)],[])).
% 73.90/46.73 tff(26338,plain,
% 73.90/46.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | v120(constB183)),
% 73.90/46.73 inference(modus_ponens,[status(thm)],[26337, 26336])).
% 73.90/46.73 tff(26339,plain,
% 73.90/46.73 ((~v90(constB183, bitIndex0)) | v90(constB183, bitIndex1) | v120(constB183)),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26338, 631, 26332])).
% 73.90/46.73 tff(26340,plain,
% 73.90/46.73 (v120(constB183)),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26339, 26323, 26286])).
% 73.90/46.73 tff(26341,plain,
% 73.90/46.73 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB183) | (~v120(constB183)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB183) | (~v120(constB183)))),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26342,plain,
% 73.90/46.73 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB183) | (~v120(constB183)))),
% 73.90/46.73 inference(quant_inst,[status(thm)],[])).
% 73.90/46.73 tff(26343,plain,
% 73.90/46.73 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB183) | (~v120(constB183))),
% 73.90/46.73 inference(modus_ponens,[status(thm)],[26342, 26341])).
% 73.90/46.73 tff(26344,plain,
% 73.90/46.73 (v118(constB183)),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26343, 646, 26340])).
% 73.90/46.73 tff(26345,plain,
% 73.90/46.73 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB183) | (~v118(constB183)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB183) | (~v118(constB183)))),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26346,plain,
% 73.90/46.73 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB183) | (~v118(constB183)))),
% 73.90/46.73 inference(quant_inst,[status(thm)],[])).
% 73.90/46.73 tff(26347,plain,
% 73.90/46.73 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB183) | (~v118(constB183))),
% 73.90/46.73 inference(modus_ponens,[status(thm)],[26346, 26345])).
% 73.90/46.73 tff(26348,plain,
% 73.90/46.73 (v117(constB183)),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26347, 243, 26344])).
% 73.90/46.73 tff(26349,plain,
% 73.90/46.73 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB183) | (~v117(constB183)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB183) | (~v117(constB183)))),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26350,plain,
% 73.90/46.73 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB183) | (~v117(constB183)))),
% 73.90/46.73 inference(quant_inst,[status(thm)],[])).
% 73.90/46.73 tff(26351,plain,
% 73.90/46.73 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB183) | (~v117(constB183))),
% 73.90/46.73 inference(modus_ponens,[status(thm)],[26350, 26349])).
% 73.90/46.73 tff(26352,plain,
% 73.90/46.73 (v116(constB183)),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26351, 254, 26348])).
% 73.90/46.73 tff(26353,plain,
% 73.90/46.73 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB183) | (~v116(constB183)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB183) | (~v116(constB183)))),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26354,plain,
% 73.90/46.73 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB183) | (~v116(constB183)))),
% 73.90/46.73 inference(quant_inst,[status(thm)],[])).
% 73.90/46.73 tff(26355,plain,
% 73.90/46.73 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB183) | (~v116(constB183))),
% 73.90/46.73 inference(modus_ponens,[status(thm)],[26354, 26353])).
% 73.90/46.73 tff(26356,plain,
% 73.90/46.73 (v115(constB183)),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26355, 265, 26352])).
% 73.90/46.73 tff(26357,plain,
% 73.90/46.73 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB183) | (~v115(constB183)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB183) | (~v115(constB183)))),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26358,plain,
% 73.90/46.73 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB183) | (~v115(constB183)))),
% 73.90/46.73 inference(quant_inst,[status(thm)],[])).
% 73.90/46.73 tff(26359,plain,
% 73.90/46.73 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB183) | (~v115(constB183))),
% 73.90/46.73 inference(modus_ponens,[status(thm)],[26358, 26357])).
% 73.90/46.73 tff(26360,plain,
% 73.90/46.73 (v114(constB183)),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26359, 276, 26356])).
% 73.90/46.73 tff(26361,plain,
% 73.90/46.73 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB183) | (~v114(constB183)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB183) | (~v114(constB183)))),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26362,plain,
% 73.90/46.73 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB183) | (~v114(constB183)))),
% 73.90/46.73 inference(quant_inst,[status(thm)],[])).
% 73.90/46.73 tff(26363,plain,
% 73.90/46.73 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB183) | (~v114(constB183))),
% 73.90/46.73 inference(modus_ponens,[status(thm)],[26362, 26361])).
% 73.90/46.73 tff(26364,plain,
% 73.90/46.73 (v113(constB183)),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26363, 287, 26360])).
% 73.90/46.73 tff(26365,assumption,(v26(constB183)), introduced(assumption)).
% 73.90/46.73 tff(26366,plain,
% 73.90/46.73 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB183))),
% 73.90/46.73 inference(quant_inst,[status(thm)],[])).
% 73.90/46.73 tff(26367,plain,
% 73.90/46.73 ($false),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26366, 37, 26365])).
% 73.90/46.73 tff(26368,plain,(~v26(constB183)), inference(lemma,lemma(discharge,[]))).
% 73.90/46.73 tff(26369,plain,
% 73.90/46.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | (~v113(constB183)) | v112(constB183))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB183) | (~v113(constB183)) | v112(constB183))),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26370,plain,
% 73.90/46.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | (~v113(constB183)) | v112(constB183))),
% 73.90/46.73 inference(quant_inst,[status(thm)],[])).
% 73.90/46.73 tff(26371,plain,
% 73.90/46.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB183) | (~v113(constB183)) | v112(constB183)),
% 73.90/46.73 inference(modus_ponens,[status(thm)],[26370, 26369])).
% 73.90/46.73 tff(26372,plain,
% 73.90/46.73 ((~v113(constB183)) | v112(constB183)),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26371, 301, 26368])).
% 73.90/46.73 tff(26373,plain,
% 73.90/46.73 (v112(constB183)),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26372, 26364])).
% 73.90/46.73 tff(26374,plain,
% 73.90/46.73 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB183) | (~v112(constB183)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB183) | (~v112(constB183)))),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26375,plain,
% 73.90/46.73 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB183) | (~v112(constB183)))),
% 73.90/46.73 inference(quant_inst,[status(thm)],[])).
% 73.90/46.73 tff(26376,plain,
% 73.90/46.73 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB183) | (~v112(constB183))),
% 73.90/46.73 inference(modus_ponens,[status(thm)],[26375, 26374])).
% 73.90/46.73 tff(26377,plain,
% 73.90/46.73 (v108(constB183)),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26376, 210, 26373])).
% 73.90/46.73 tff(26378,plain,
% 73.90/46.73 (nextState(constB183, constB184) <=> nextState(constB183, constB184)),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26379,axiom,(nextState(constB183, constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_183_1')).
% 73.90/46.73 tff(26380,plain,
% 73.90/46.73 (nextState(constB183, constB184)),
% 73.90/46.73 inference(modus_ponens,[status(thm)],[26379, 26378])).
% 73.90/46.73 tff(26381,plain,
% 73.90/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26382,plain,
% 73.90/46.73 (((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184)) <=> ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26383,plain,
% 73.90/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183))))),
% 73.90/46.73 inference(monotonicity,[status(thm)],[26382])).
% 73.90/46.73 tff(26384,plain,
% 73.90/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 73.90/46.73 inference(transitivity,[status(thm)],[26383, 26381])).
% 73.90/46.73 tff(26385,plain,
% 73.90/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))),
% 73.90/46.73 inference(quant_inst,[status(thm)],[])).
% 73.90/46.73 tff(26386,plain,
% 73.90/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183))),
% 73.90/46.73 inference(modus_ponens,[status(thm)],[26385, 26384])).
% 73.90/46.73 tff(26387,plain,
% 73.90/46.73 (v110(constB184) | (~v108(constB183))),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26386, 317, 26380])).
% 73.90/46.73 tff(26388,plain,
% 73.90/46.73 (v110(constB184)),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26387, 26377])).
% 73.90/46.73 tff(26389,plain,
% 73.90/46.73 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26390,plain,
% 73.90/46.73 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))),
% 73.90/46.73 inference(quant_inst,[status(thm)],[])).
% 73.90/46.73 tff(26391,plain,
% 73.90/46.73 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184))),
% 73.90/46.73 inference(modus_ponens,[status(thm)],[26390, 26389])).
% 73.90/46.73 tff(26392,plain,
% 73.90/46.73 (~v104(constB184)),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26391, 335, 26380, 26262])).
% 73.90/46.73 tff(26393,plain,
% 73.90/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26394,plain,
% 73.90/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))),
% 73.90/46.73 inference(quant_inst,[status(thm)],[])).
% 73.90/46.73 tff(26395,plain,
% 73.90/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB183, constB184)) | v102(constB184) | v104(constB184)),
% 73.90/46.73 inference(modus_ponens,[status(thm)],[26394, 26393])).
% 73.90/46.73 tff(26396,plain,
% 73.90/46.73 (v102(constB184) | v104(constB184)),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26395, 349, 26380])).
% 73.90/46.73 tff(26397,plain,
% 73.90/46.73 (v102(constB184)),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26396, 26392])).
% 73.90/46.73 tff(26398,plain,
% 73.90/46.73 (v1(constB184) <=> v1(constB184)),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26399,axiom,(v1(constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_184_1')).
% 73.90/46.73 tff(26400,plain,
% 73.90/46.73 (v1(constB184)),
% 73.90/46.73 inference(modus_ponens,[status(thm)],[26399, 26398])).
% 73.90/46.73 tff(26401,plain,
% 73.90/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26402,plain,
% 73.90/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))),
% 73.90/46.73 inference(quant_inst,[status(thm)],[])).
% 73.90/46.73 tff(26403,plain,
% 73.90/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184))),
% 73.90/46.73 inference(modus_ponens,[status(thm)],[26402, 26401])).
% 73.90/46.73 tff(26404,plain,
% 73.90/46.73 (v101(constB184) | (~v102(constB184))),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26403, 367, 26380, 26400])).
% 73.90/46.73 tff(26405,plain,
% 73.90/46.73 (v101(constB184)),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26404, 26397])).
% 73.90/46.73 tff(26406,plain,
% 73.90/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26407,plain,
% 73.90/46.73 (((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184)) <=> ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26408,plain,
% 73.90/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184))))),
% 73.90/46.73 inference(monotonicity,[status(thm)],[26407])).
% 73.90/46.73 tff(26409,plain,
% 73.90/46.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 73.90/46.73 inference(transitivity,[status(thm)],[26408, 26406])).
% 73.90/46.73 tff(26410,plain,
% 73.90/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))),
% 73.90/46.73 inference(quant_inst,[status(thm)],[])).
% 73.90/46.73 tff(26411,plain,
% 73.90/46.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184))),
% 73.90/46.73 inference(modus_ponens,[status(thm)],[26410, 26409])).
% 73.90/46.73 tff(26412,plain,
% 73.90/46.73 (v100(constB184) | (~v101(constB184)) | (~v110(constB184))),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26411, 382, 26380])).
% 73.90/46.73 tff(26413,plain,
% 73.90/46.73 (v100(constB184) | (~v110(constB184))),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26412, 26405])).
% 73.90/46.73 tff(26414,plain,
% 73.90/46.73 (v100(constB184)),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26413, 26388])).
% 73.90/46.73 tff(26415,plain,
% 73.90/46.73 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB183)) | (~v130(constB183, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB183)) | (~v130(constB183, bitIndex2)))),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26416,plain,
% 73.90/46.73 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB183)) | (~v130(constB183, bitIndex2)))),
% 73.90/46.73 inference(quant_inst,[status(thm)],[])).
% 73.90/46.73 tff(26417,plain,
% 73.90/46.73 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB183)) | (~v130(constB183, bitIndex2))),
% 73.90/46.73 inference(modus_ponens,[status(thm)],[26416, 26415])).
% 73.90/46.73 tff(26418,plain,
% 73.90/46.73 (~v130(constB183, bitIndex2)),
% 73.90/46.73 inference(unit_resolution,[status(thm)],[26417, 730, 26340])).
% 73.90/46.73 tff(26419,plain,
% 73.90/46.73 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2))),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.73 tff(26420,plain,
% 73.90/46.73 ((v26(constB183) | v130(constB183, bitIndex2) | (~v127(constB183, bitIndex2))) <=> ((~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2))),
% 73.90/46.73 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26421,plain,
% 73.90/46.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB183) | v130(constB183, bitIndex2) | (~v127(constB183, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2)))),
% 73.90/46.74 inference(monotonicity,[status(thm)],[26420])).
% 73.90/46.74 tff(26422,plain,
% 73.90/46.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB183) | v130(constB183, bitIndex2) | (~v127(constB183, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2))),
% 73.90/46.74 inference(transitivity,[status(thm)],[26421, 26419])).
% 73.90/46.74 tff(26423,plain,
% 73.90/46.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB183) | v130(constB183, bitIndex2) | (~v127(constB183, bitIndex2)))),
% 73.90/46.74 inference(quant_inst,[status(thm)],[])).
% 73.90/46.74 tff(26424,plain,
% 73.90/46.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB183, bitIndex2)) | v26(constB183) | v130(constB183, bitIndex2)),
% 73.90/46.74 inference(modus_ponens,[status(thm)],[26423, 26422])).
% 73.90/46.74 tff(26425,plain,
% 73.90/46.74 ((~v127(constB183, bitIndex2)) | v130(constB183, bitIndex2)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26424, 470, 26368])).
% 73.90/46.74 tff(26426,plain,
% 73.90/46.74 (~v127(constB183, bitIndex2)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26425, 26418])).
% 73.90/46.74 tff(26427,plain,
% 73.90/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex2) | (~v129(constB184, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex2) | (~v129(constB184, bitIndex2)))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26428,plain,
% 73.90/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex2) | (~v129(constB184, bitIndex2)))),
% 73.90/46.74 inference(quant_inst,[status(thm)],[])).
% 73.90/46.74 tff(26429,plain,
% 73.90/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex2) | (~v129(constB184, bitIndex2))),
% 73.90/46.74 inference(modus_ponens,[status(thm)],[26428, 26427])).
% 73.90/46.74 tff(26430,plain,
% 73.90/46.74 (v127(constB183, bitIndex2) | (~v129(constB184, bitIndex2))),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26429, 488, 26380])).
% 73.90/46.74 tff(26431,plain,
% 73.90/46.74 (~v129(constB184, bitIndex2)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26430, 26426])).
% 73.90/46.74 tff(26432,plain,
% 73.90/46.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2) | (~v100(constB184)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2) | (~v100(constB184)))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26433,plain,
% 73.90/46.74 (((~v90(constB184, bitIndex2)) | (~v100(constB184)) | v129(constB184, bitIndex2)) <=> ((~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2) | (~v100(constB184)))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26434,plain,
% 73.90/46.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB184, bitIndex2)) | (~v100(constB184)) | v129(constB184, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2) | (~v100(constB184))))),
% 73.90/46.74 inference(monotonicity,[status(thm)],[26433])).
% 73.90/46.74 tff(26435,plain,
% 73.90/46.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB184, bitIndex2)) | (~v100(constB184)) | v129(constB184, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2) | (~v100(constB184)))),
% 73.90/46.74 inference(transitivity,[status(thm)],[26434, 26432])).
% 73.90/46.74 tff(26436,plain,
% 73.90/46.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB184, bitIndex2)) | (~v100(constB184)) | v129(constB184, bitIndex2))),
% 73.90/46.74 inference(quant_inst,[status(thm)],[])).
% 73.90/46.74 tff(26437,plain,
% 73.90/46.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2) | (~v100(constB184))),
% 73.90/46.74 inference(modus_ponens,[status(thm)],[26436, 26435])).
% 73.90/46.74 tff(26438,plain,
% 73.90/46.74 ((~v90(constB184, bitIndex2)) | (~v100(constB184))),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26437, 503, 26431])).
% 73.90/46.74 tff(26439,plain,
% 73.90/46.74 (~v90(constB184, bitIndex2)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26438, 26414])).
% 73.90/46.74 tff(26440,plain,
% 73.90/46.74 ((~v1(constB185)) <=> (~v1(constB185))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26441,axiom,(~v1(constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_185_1_1')).
% 73.90/46.74 tff(26442,plain,
% 73.90/46.74 (~v1(constB185)),
% 73.90/46.74 inference(modus_ponens,[status(thm)],[26441, 26440])).
% 73.90/46.74 tff(26443,plain,
% 73.90/46.74 (nextState(constB184, constB185) <=> nextState(constB184, constB185)),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26444,axiom,(nextState(constB184, constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_184_1')).
% 73.90/46.74 tff(26445,plain,
% 73.90/46.74 (nextState(constB184, constB185)),
% 73.90/46.74 inference(modus_ponens,[status(thm)],[26444, 26443])).
% 73.90/46.74 tff(26446,plain,
% 73.90/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26447,plain,
% 73.90/46.74 (((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185)) <=> (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26448,plain,
% 73.90/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185))))),
% 73.90/46.74 inference(monotonicity,[status(thm)],[26447])).
% 73.90/46.74 tff(26449,plain,
% 73.90/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 73.90/46.74 inference(transitivity,[status(thm)],[26448, 26446])).
% 73.90/46.74 tff(26450,plain,
% 73.90/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))),
% 73.90/46.74 inference(quant_inst,[status(thm)],[])).
% 73.90/46.74 tff(26451,plain,
% 73.90/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185))),
% 73.90/46.74 inference(modus_ponens,[status(thm)],[26450, 26449])).
% 73.90/46.74 tff(26452,plain,
% 73.90/46.74 (~v101(constB185)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26451, 56, 26445, 26442])).
% 73.90/46.74 tff(26453,plain,
% 73.90/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26454,plain,
% 73.90/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))),
% 73.90/46.74 inference(quant_inst,[status(thm)],[])).
% 73.90/46.74 tff(26455,plain,
% 73.90/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185))),
% 73.90/46.74 inference(modus_ponens,[status(thm)],[26454, 26453])).
% 73.90/46.74 tff(26456,plain,
% 73.90/46.74 (v101(constB185) | (~v100(constB185))),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26455, 73, 26445])).
% 73.90/46.74 tff(26457,plain,
% 73.90/46.74 (~v100(constB185)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26456, 26452])).
% 73.90/46.74 tff(26458,plain,
% 73.90/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex2)))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26459,plain,
% 73.90/46.74 (((~nextState(constB184, constB185)) | v90(constB184, bitIndex2) | v100(constB185) | (~v90(constB185, bitIndex2))) <=> (v90(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex2)))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26460,plain,
% 73.90/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex2) | v100(constB185) | (~v90(constB185, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex2))))),
% 73.90/46.74 inference(monotonicity,[status(thm)],[26459])).
% 73.90/46.74 tff(26461,plain,
% 73.90/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex2) | v100(constB185) | (~v90(constB185, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex2)))),
% 73.90/46.74 inference(transitivity,[status(thm)],[26460, 26458])).
% 73.90/46.74 tff(26462,plain,
% 73.90/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex2) | v100(constB185) | (~v90(constB185, bitIndex2)))),
% 73.90/46.74 inference(quant_inst,[status(thm)],[])).
% 73.90/46.74 tff(26463,plain,
% 73.90/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex2))),
% 73.90/46.74 inference(modus_ponens,[status(thm)],[26462, 26461])).
% 73.90/46.74 tff(26464,plain,
% 73.90/46.74 (v90(constB184, bitIndex2) | v100(constB185) | (~v90(constB185, bitIndex2))),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26463, 88, 26445])).
% 73.90/46.74 tff(26465,plain,
% 73.90/46.74 (v90(constB184, bitIndex2) | (~v90(constB185, bitIndex2))),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26464, 26457])).
% 73.90/46.74 tff(26466,plain,
% 73.90/46.74 (~v90(constB185, bitIndex2)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26465, 26439])).
% 73.90/46.74 tff(26467,plain,
% 73.90/46.74 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB183)) | v130(constB183, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB183)) | v130(constB183, bitIndex1))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26468,plain,
% 73.90/46.74 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB183)) | v130(constB183, bitIndex1))),
% 73.90/46.74 inference(quant_inst,[status(thm)],[])).
% 73.90/46.74 tff(26469,plain,
% 73.90/46.74 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB183)) | v130(constB183, bitIndex1)),
% 73.90/46.74 inference(modus_ponens,[status(thm)],[26468, 26467])).
% 73.90/46.74 tff(26470,plain,
% 73.90/46.74 (v130(constB183, bitIndex1)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26469, 810, 26340])).
% 73.90/46.74 tff(26471,plain,
% 73.90/46.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26472,plain,
% 73.90/46.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1))),
% 73.90/46.74 inference(quant_inst,[status(thm)],[])).
% 73.90/46.74 tff(26473,plain,
% 73.90/46.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1)),
% 73.90/46.74 inference(modus_ponens,[status(thm)],[26472, 26471])).
% 73.90/46.74 tff(26474,plain,
% 73.90/46.74 ((~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26473, 824, 26368])).
% 73.90/46.74 tff(26475,plain,
% 73.90/46.74 (v127(constB183, bitIndex1)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26474, 26470])).
% 73.90/46.74 tff(26476,plain,
% 73.90/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26477,plain,
% 73.90/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1))),
% 73.90/46.74 inference(quant_inst,[status(thm)],[])).
% 73.90/46.74 tff(26478,plain,
% 73.90/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1)),
% 73.90/46.74 inference(modus_ponens,[status(thm)],[26477, 26476])).
% 73.90/46.74 tff(26479,plain,
% 73.90/46.74 ((~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26478, 839, 26380])).
% 73.90/46.74 tff(26480,plain,
% 73.90/46.74 (v129(constB184, bitIndex1)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26479, 26475])).
% 73.90/46.74 tff(26481,plain,
% 73.90/46.74 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26482,plain,
% 73.90/46.74 ((v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1))) <=> (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26483,plain,
% 73.90/46.74 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184))))),
% 73.90/46.74 inference(monotonicity,[status(thm)],[26482])).
% 73.90/46.74 tff(26484,plain,
% 73.90/46.74 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))),
% 73.90/46.74 inference(transitivity,[status(thm)],[26483, 26481])).
% 73.90/46.74 tff(26485,plain,
% 73.90/46.74 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1)))),
% 73.90/46.74 inference(quant_inst,[status(thm)],[])).
% 73.90/46.74 tff(26486,plain,
% 73.90/46.74 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184))),
% 73.90/46.74 inference(modus_ponens,[status(thm)],[26485, 26484])).
% 73.90/46.74 tff(26487,plain,
% 73.90/46.74 (v90(constB184, bitIndex1) | (~v100(constB184))),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26486, 854, 26480])).
% 73.90/46.74 tff(26488,plain,
% 73.90/46.74 (v90(constB184, bitIndex1)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26487, 26414])).
% 73.90/46.74 tff(26489,plain,
% 73.90/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26490,plain,
% 73.90/46.74 (((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1)) <=> ((~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26491,plain,
% 73.90/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1)))),
% 73.90/46.74 inference(monotonicity,[status(thm)],[26490])).
% 73.90/46.74 tff(26492,plain,
% 73.90/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))),
% 73.90/46.74 inference(transitivity,[status(thm)],[26491, 26489])).
% 73.90/46.74 tff(26493,plain,
% 73.90/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1))),
% 73.90/46.74 inference(quant_inst,[status(thm)],[])).
% 73.90/46.74 tff(26494,plain,
% 73.90/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1)),
% 73.90/46.74 inference(modus_ponens,[status(thm)],[26493, 26492])).
% 73.90/46.74 tff(26495,plain,
% 73.90/46.74 ((~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26494, 872, 26445])).
% 73.90/46.74 tff(26496,plain,
% 73.90/46.74 ((~v90(constB184, bitIndex1)) | v90(constB185, bitIndex1)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26495, 26457])).
% 73.90/46.74 tff(26497,plain,
% 73.90/46.74 (v90(constB185, bitIndex1)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26496, 26488])).
% 73.90/46.74 tff(26498,plain,
% 73.90/46.74 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB183)) | (~v130(constB183, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB183)) | (~v130(constB183, bitIndex0)))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26499,plain,
% 73.90/46.74 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB183)) | (~v130(constB183, bitIndex0)))),
% 73.90/46.74 inference(quant_inst,[status(thm)],[])).
% 73.90/46.74 tff(26500,plain,
% 73.90/46.74 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB183)) | (~v130(constB183, bitIndex0))),
% 73.90/46.74 inference(modus_ponens,[status(thm)],[26499, 26498])).
% 73.90/46.74 tff(26501,plain,
% 73.90/46.74 (~v130(constB183, bitIndex0)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26500, 891, 26340])).
% 73.90/46.74 tff(26502,plain,
% 73.90/46.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26503,plain,
% 73.90/46.74 ((v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0))) <=> ((~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26504,plain,
% 73.90/46.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0)))),
% 73.90/46.74 inference(monotonicity,[status(thm)],[26503])).
% 73.90/46.74 tff(26505,plain,
% 73.90/46.74 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))),
% 73.90/46.74 inference(transitivity,[status(thm)],[26504, 26502])).
% 73.90/46.74 tff(26506,plain,
% 73.90/46.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0)))),
% 73.90/46.74 inference(quant_inst,[status(thm)],[])).
% 73.90/46.74 tff(26507,plain,
% 73.90/46.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0)),
% 73.90/46.74 inference(modus_ponens,[status(thm)],[26506, 26505])).
% 73.90/46.74 tff(26508,plain,
% 73.90/46.74 ((~v127(constB183, bitIndex0)) | v130(constB183, bitIndex0)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26507, 905, 26368])).
% 73.90/46.74 tff(26509,plain,
% 73.90/46.74 (~v127(constB183, bitIndex0)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26508, 26501])).
% 73.90/46.74 tff(26510,plain,
% 73.90/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0)))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26511,plain,
% 73.90/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0)))),
% 73.90/46.74 inference(quant_inst,[status(thm)],[])).
% 73.90/46.74 tff(26512,plain,
% 73.90/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0))),
% 73.90/46.74 inference(modus_ponens,[status(thm)],[26511, 26510])).
% 73.90/46.74 tff(26513,plain,
% 73.90/46.74 (v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0))),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26512, 923, 26380])).
% 73.90/46.74 tff(26514,plain,
% 73.90/46.74 (~v129(constB184, bitIndex0)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26513, 26509])).
% 73.90/46.74 tff(26515,plain,
% 73.90/46.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26516,plain,
% 73.90/46.74 (((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0)) <=> ((~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26517,plain,
% 73.90/46.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184))))),
% 73.90/46.74 inference(monotonicity,[status(thm)],[26516])).
% 73.90/46.74 tff(26518,plain,
% 73.90/46.74 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))),
% 73.90/46.74 inference(transitivity,[status(thm)],[26517, 26515])).
% 73.90/46.74 tff(26519,plain,
% 73.90/46.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0))),
% 73.90/46.74 inference(quant_inst,[status(thm)],[])).
% 73.90/46.74 tff(26520,plain,
% 73.90/46.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184))),
% 73.90/46.74 inference(modus_ponens,[status(thm)],[26519, 26518])).
% 73.90/46.74 tff(26521,plain,
% 73.90/46.74 ((~v90(constB184, bitIndex0)) | (~v100(constB184))),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26520, 938, 26514])).
% 73.90/46.74 tff(26522,plain,
% 73.90/46.74 (~v90(constB184, bitIndex0)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26521, 26414])).
% 73.90/46.74 tff(26523,plain,
% 73.90/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26524,plain,
% 73.90/46.74 (((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0))) <=> (v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26525,plain,
% 73.90/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0))))),
% 73.90/46.74 inference(monotonicity,[status(thm)],[26524])).
% 73.90/46.74 tff(26526,plain,
% 73.90/46.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 73.90/46.74 inference(transitivity,[status(thm)],[26525, 26523])).
% 73.90/46.74 tff(26527,plain,
% 73.90/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 73.90/46.74 inference(quant_inst,[status(thm)],[])).
% 73.90/46.74 tff(26528,plain,
% 73.90/46.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0))),
% 73.90/46.74 inference(modus_ponens,[status(thm)],[26527, 26526])).
% 73.90/46.74 tff(26529,plain,
% 73.90/46.74 (v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0))),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26528, 130, 26445])).
% 73.90/46.74 tff(26530,plain,
% 73.90/46.74 (v90(constB184, bitIndex0) | (~v90(constB185, bitIndex0))),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26529, 26457])).
% 73.90/46.74 tff(26531,plain,
% 73.90/46.74 (~v90(constB185, bitIndex0)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26530, 26522])).
% 73.90/46.74 tff(26532,plain,
% 73.90/46.74 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex2) | v121(constB185))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex2) | v121(constB185))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26533,plain,
% 73.90/46.74 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex2) | v121(constB185))),
% 73.90/46.74 inference(quant_inst,[status(thm)],[])).
% 73.90/46.74 tff(26534,plain,
% 73.90/46.74 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex2) | v121(constB185)),
% 73.90/46.74 inference(modus_ponens,[status(thm)],[26533, 26532])).
% 73.90/46.74 tff(26535,plain,
% 73.90/46.74 (v121(constB185)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26534, 965, 26531, 26497, 26466])).
% 73.90/46.74 tff(26536,plain,
% 73.90/46.74 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB185) | (~v121(constB185)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB185) | (~v121(constB185)))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26537,plain,
% 73.90/46.74 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB185) | (~v121(constB185)))),
% 73.90/46.74 inference(quant_inst,[status(thm)],[])).
% 73.90/46.74 tff(26538,plain,
% 73.90/46.74 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB185) | (~v121(constB185))),
% 73.90/46.74 inference(modus_ponens,[status(thm)],[26537, 26536])).
% 73.90/46.74 tff(26539,plain,
% 73.90/46.74 (v117(constB185)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26538, 976, 26535])).
% 73.90/46.74 tff(26540,plain,
% 73.90/46.74 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB185) | (~v117(constB185)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB185) | (~v117(constB185)))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26541,plain,
% 73.90/46.74 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB185) | (~v117(constB185)))),
% 73.90/46.74 inference(quant_inst,[status(thm)],[])).
% 73.90/46.74 tff(26542,plain,
% 73.90/46.74 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB185) | (~v117(constB185))),
% 73.90/46.74 inference(modus_ponens,[status(thm)],[26541, 26540])).
% 73.90/46.74 tff(26543,plain,
% 73.90/46.74 (v116(constB185)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26542, 254, 26539])).
% 73.90/46.74 tff(26544,plain,
% 73.90/46.74 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB185) | (~v116(constB185)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB185) | (~v116(constB185)))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26545,plain,
% 73.90/46.74 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB185) | (~v116(constB185)))),
% 73.90/46.74 inference(quant_inst,[status(thm)],[])).
% 73.90/46.74 tff(26546,plain,
% 73.90/46.74 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB185) | (~v116(constB185))),
% 73.90/46.74 inference(modus_ponens,[status(thm)],[26545, 26544])).
% 73.90/46.74 tff(26547,plain,
% 73.90/46.74 (v115(constB185)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26546, 265, 26543])).
% 73.90/46.74 tff(26548,plain,
% 73.90/46.74 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB185) | (~v115(constB185)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB185) | (~v115(constB185)))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26549,plain,
% 73.90/46.74 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB185) | (~v115(constB185)))),
% 73.90/46.74 inference(quant_inst,[status(thm)],[])).
% 73.90/46.74 tff(26550,plain,
% 73.90/46.74 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB185) | (~v115(constB185))),
% 73.90/46.74 inference(modus_ponens,[status(thm)],[26549, 26548])).
% 73.90/46.74 tff(26551,plain,
% 73.90/46.74 (v114(constB185)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26550, 276, 26547])).
% 73.90/46.74 tff(26552,plain,
% 73.90/46.74 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB185) | (~v114(constB185)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB185) | (~v114(constB185)))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26553,plain,
% 73.90/46.74 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB185) | (~v114(constB185)))),
% 73.90/46.74 inference(quant_inst,[status(thm)],[])).
% 73.90/46.74 tff(26554,plain,
% 73.90/46.74 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB185) | (~v114(constB185))),
% 73.90/46.74 inference(modus_ponens,[status(thm)],[26553, 26552])).
% 73.90/46.74 tff(26555,plain,
% 73.90/46.74 (v113(constB185)),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26554, 287, 26551])).
% 73.90/46.74 tff(26556,assumption,(v26(constB185)), introduced(assumption)).
% 73.90/46.74 tff(26557,plain,
% 73.90/46.74 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB185))),
% 73.90/46.74 inference(quant_inst,[status(thm)],[])).
% 73.90/46.74 tff(26558,plain,
% 73.90/46.74 ($false),
% 73.90/46.74 inference(unit_resolution,[status(thm)],[26557, 37, 26556])).
% 73.90/46.74 tff(26559,plain,(~v26(constB185)), inference(lemma,lemma(discharge,[]))).
% 73.90/46.74 tff(26560,plain,
% 73.90/46.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | (~v113(constB185)) | v112(constB185))),
% 73.90/46.74 inference(rewrite,[status(thm)],[])).
% 73.90/46.74 tff(26561,plain,
% 73.90/46.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))),
% 73.90/46.74 inference(quant_inst,[status(thm)],[])).
% 73.90/46.74 tff(26562,plain,
% 73.90/46.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | (~v113(constB185)) | v112(constB185)),
% 73.90/46.75 inference(modus_ponens,[status(thm)],[26561, 26560])).
% 73.90/46.75 tff(26563,plain,
% 73.90/46.75 ((~v113(constB185)) | v112(constB185)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26562, 301, 26559])).
% 73.90/46.75 tff(26564,plain,
% 73.90/46.75 (v112(constB185)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26563, 26555])).
% 73.90/46.75 tff(26565,plain,
% 73.90/46.75 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB185) | (~v112(constB185)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB185) | (~v112(constB185)))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26566,plain,
% 73.90/46.75 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB185) | (~v112(constB185)))),
% 73.90/46.75 inference(quant_inst,[status(thm)],[])).
% 73.90/46.75 tff(26567,plain,
% 73.90/46.75 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB185) | (~v112(constB185))),
% 73.90/46.75 inference(modus_ponens,[status(thm)],[26566, 26565])).
% 73.90/46.75 tff(26568,plain,
% 73.90/46.75 (v108(constB185)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26567, 210, 26564])).
% 73.90/46.75 tff(26569,plain,
% 73.90/46.75 (nextState(constB185, constB186) <=> nextState(constB185, constB186)),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26570,axiom,(nextState(constB185, constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_185_1')).
% 73.90/46.75 tff(26571,plain,
% 73.90/46.75 (nextState(constB185, constB186)),
% 73.90/46.75 inference(modus_ponens,[status(thm)],[26570, 26569])).
% 73.90/46.75 tff(26572,plain,
% 73.90/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26573,plain,
% 73.90/46.75 (((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186)) <=> ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26574,plain,
% 73.90/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185))))),
% 73.90/46.75 inference(monotonicity,[status(thm)],[26573])).
% 73.90/46.75 tff(26575,plain,
% 73.90/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 73.90/46.75 inference(transitivity,[status(thm)],[26574, 26572])).
% 73.90/46.75 tff(26576,plain,
% 73.90/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))),
% 73.90/46.75 inference(quant_inst,[status(thm)],[])).
% 73.90/46.75 tff(26577,plain,
% 73.90/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185))),
% 73.90/46.75 inference(modus_ponens,[status(thm)],[26576, 26575])).
% 73.90/46.75 tff(26578,plain,
% 73.90/46.75 (v110(constB186) | (~v108(constB185))),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26577, 317, 26571])).
% 73.90/46.75 tff(26579,plain,
% 73.90/46.75 (v110(constB186)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26578, 26568])).
% 73.90/46.75 tff(26580,plain,
% 73.90/46.75 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26581,plain,
% 73.90/46.75 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))),
% 73.90/46.75 inference(quant_inst,[status(thm)],[])).
% 73.90/46.75 tff(26582,plain,
% 73.90/46.75 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186))),
% 73.90/46.75 inference(modus_ponens,[status(thm)],[26581, 26580])).
% 73.90/46.75 tff(26583,plain,
% 73.90/46.75 (~v104(constB186)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26582, 335, 26571, 26442])).
% 73.90/46.75 tff(26584,plain,
% 73.90/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26585,plain,
% 73.90/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))),
% 73.90/46.75 inference(quant_inst,[status(thm)],[])).
% 73.90/46.75 tff(26586,plain,
% 73.90/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB185, constB186)) | v102(constB186) | v104(constB186)),
% 73.90/46.75 inference(modus_ponens,[status(thm)],[26585, 26584])).
% 73.90/46.75 tff(26587,plain,
% 73.90/46.75 (v102(constB186) | v104(constB186)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26586, 349, 26571])).
% 73.90/46.75 tff(26588,plain,
% 73.90/46.75 (v102(constB186)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26587, 26583])).
% 73.90/46.75 tff(26589,plain,
% 73.90/46.75 (v1(constB186) <=> v1(constB186)),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26590,axiom,(v1(constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_186_1')).
% 73.90/46.75 tff(26591,plain,
% 73.90/46.75 (v1(constB186)),
% 73.90/46.75 inference(modus_ponens,[status(thm)],[26590, 26589])).
% 73.90/46.75 tff(26592,plain,
% 73.90/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26593,plain,
% 73.90/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))),
% 73.90/46.75 inference(quant_inst,[status(thm)],[])).
% 73.90/46.75 tff(26594,plain,
% 73.90/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186))),
% 73.90/46.75 inference(modus_ponens,[status(thm)],[26593, 26592])).
% 73.90/46.75 tff(26595,plain,
% 73.90/46.75 (v101(constB186) | (~v102(constB186))),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26594, 367, 26571, 26591])).
% 73.90/46.75 tff(26596,plain,
% 73.90/46.75 (v101(constB186)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26595, 26588])).
% 73.90/46.75 tff(26597,plain,
% 73.90/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26598,plain,
% 73.90/46.75 (((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186)) <=> ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26599,plain,
% 73.90/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186))))),
% 73.90/46.75 inference(monotonicity,[status(thm)],[26598])).
% 73.90/46.75 tff(26600,plain,
% 73.90/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 73.90/46.75 inference(transitivity,[status(thm)],[26599, 26597])).
% 73.90/46.75 tff(26601,plain,
% 73.90/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))),
% 73.90/46.75 inference(quant_inst,[status(thm)],[])).
% 73.90/46.75 tff(26602,plain,
% 73.90/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186))),
% 73.90/46.75 inference(modus_ponens,[status(thm)],[26601, 26600])).
% 73.90/46.75 tff(26603,plain,
% 73.90/46.75 (v100(constB186) | (~v101(constB186)) | (~v110(constB186))),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26602, 382, 26571])).
% 73.90/46.75 tff(26604,plain,
% 73.90/46.75 (v100(constB186) | (~v110(constB186))),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26603, 26596])).
% 73.90/46.75 tff(26605,plain,
% 73.90/46.75 (v100(constB186)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26604, 26579])).
% 73.90/46.75 tff(26606,plain,
% 73.90/46.75 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB185)) | (~v130(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB185)) | (~v130(constB185, bitIndex2)))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26607,plain,
% 73.90/46.75 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB185)) | (~v130(constB185, bitIndex2)))),
% 73.90/46.75 inference(quant_inst,[status(thm)],[])).
% 73.90/46.75 tff(26608,plain,
% 73.90/46.75 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB185)) | (~v130(constB185, bitIndex2))),
% 73.90/46.75 inference(modus_ponens,[status(thm)],[26607, 26606])).
% 73.90/46.75 tff(26609,plain,
% 73.90/46.75 (~v130(constB185, bitIndex2)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26608, 1059, 26535])).
% 73.90/46.75 tff(26610,plain,
% 73.90/46.75 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26611,plain,
% 73.90/46.75 ((v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2))) <=> ((~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26612,plain,
% 73.90/46.75 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2)))),
% 73.90/46.75 inference(monotonicity,[status(thm)],[26611])).
% 73.90/46.75 tff(26613,plain,
% 73.90/46.75 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))),
% 73.90/46.75 inference(transitivity,[status(thm)],[26612, 26610])).
% 73.90/46.75 tff(26614,plain,
% 73.90/46.75 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2)))),
% 73.90/46.75 inference(quant_inst,[status(thm)],[])).
% 73.90/46.75 tff(26615,plain,
% 73.90/46.75 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2)),
% 73.90/46.75 inference(modus_ponens,[status(thm)],[26614, 26613])).
% 73.90/46.75 tff(26616,plain,
% 73.90/46.75 ((~v127(constB185, bitIndex2)) | v130(constB185, bitIndex2)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26615, 470, 26559])).
% 73.90/46.75 tff(26617,plain,
% 73.90/46.75 (~v127(constB185, bitIndex2)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26616, 26609])).
% 73.90/46.75 tff(26618,plain,
% 73.90/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2)))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26619,plain,
% 73.90/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2)))),
% 73.90/46.75 inference(quant_inst,[status(thm)],[])).
% 73.90/46.75 tff(26620,plain,
% 73.90/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2))),
% 73.90/46.75 inference(modus_ponens,[status(thm)],[26619, 26618])).
% 73.90/46.75 tff(26621,plain,
% 73.90/46.75 (v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2))),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26620, 488, 26571])).
% 73.90/46.75 tff(26622,plain,
% 73.90/46.75 (~v129(constB186, bitIndex2)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26621, 26617])).
% 73.90/46.75 tff(26623,plain,
% 73.90/46.75 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26624,plain,
% 73.90/46.75 (((~v90(constB186, bitIndex2)) | (~v100(constB186)) | v129(constB186, bitIndex2)) <=> ((~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26625,plain,
% 73.90/46.75 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB186, bitIndex2)) | (~v100(constB186)) | v129(constB186, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186))))),
% 73.90/46.75 inference(monotonicity,[status(thm)],[26624])).
% 73.90/46.75 tff(26626,plain,
% 73.90/46.75 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB186, bitIndex2)) | (~v100(constB186)) | v129(constB186, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))),
% 73.90/46.75 inference(transitivity,[status(thm)],[26625, 26623])).
% 73.90/46.75 tff(26627,plain,
% 73.90/46.75 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB186, bitIndex2)) | (~v100(constB186)) | v129(constB186, bitIndex2))),
% 73.90/46.75 inference(quant_inst,[status(thm)],[])).
% 73.90/46.75 tff(26628,plain,
% 73.90/46.75 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186))),
% 73.90/46.75 inference(modus_ponens,[status(thm)],[26627, 26626])).
% 73.90/46.75 tff(26629,plain,
% 73.90/46.75 ((~v90(constB186, bitIndex2)) | (~v100(constB186))),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26628, 503, 26622])).
% 73.90/46.75 tff(26630,plain,
% 73.90/46.75 (~v90(constB186, bitIndex2)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26629, 26605])).
% 73.90/46.75 tff(26631,plain,
% 73.90/46.75 ((~v1(constB187)) <=> (~v1(constB187))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26632,axiom,(~v1(constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_187_1_1')).
% 73.90/46.75 tff(26633,plain,
% 73.90/46.75 (~v1(constB187)),
% 73.90/46.75 inference(modus_ponens,[status(thm)],[26632, 26631])).
% 73.90/46.75 tff(26634,plain,
% 73.90/46.75 (nextState(constB186, constB187) <=> nextState(constB186, constB187)),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26635,axiom,(nextState(constB186, constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_186_1')).
% 73.90/46.75 tff(26636,plain,
% 73.90/46.75 (nextState(constB186, constB187)),
% 73.90/46.75 inference(modus_ponens,[status(thm)],[26635, 26634])).
% 73.90/46.75 tff(26637,plain,
% 73.90/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26638,plain,
% 73.90/46.75 (((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187)) <=> (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26639,plain,
% 73.90/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187))))),
% 73.90/46.75 inference(monotonicity,[status(thm)],[26638])).
% 73.90/46.75 tff(26640,plain,
% 73.90/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 73.90/46.75 inference(transitivity,[status(thm)],[26639, 26637])).
% 73.90/46.75 tff(26641,plain,
% 73.90/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))),
% 73.90/46.75 inference(quant_inst,[status(thm)],[])).
% 73.90/46.75 tff(26642,plain,
% 73.90/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187))),
% 73.90/46.75 inference(modus_ponens,[status(thm)],[26641, 26640])).
% 73.90/46.75 tff(26643,plain,
% 73.90/46.75 (~v101(constB187)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26642, 56, 26636, 26633])).
% 73.90/46.75 tff(26644,plain,
% 73.90/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26645,plain,
% 73.90/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))),
% 73.90/46.75 inference(quant_inst,[status(thm)],[])).
% 73.90/46.75 tff(26646,plain,
% 73.90/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187))),
% 73.90/46.75 inference(modus_ponens,[status(thm)],[26645, 26644])).
% 73.90/46.75 tff(26647,plain,
% 73.90/46.75 (v101(constB187) | (~v100(constB187))),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26646, 73, 26636])).
% 73.90/46.75 tff(26648,plain,
% 73.90/46.75 (~v100(constB187)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26647, 26643])).
% 73.90/46.75 tff(26649,plain,
% 73.90/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26650,plain,
% 73.90/46.75 (((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2))) <=> (v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26651,plain,
% 73.90/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2))))),
% 73.90/46.75 inference(monotonicity,[status(thm)],[26650])).
% 73.90/46.75 tff(26652,plain,
% 73.90/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 73.90/46.75 inference(transitivity,[status(thm)],[26651, 26649])).
% 73.90/46.75 tff(26653,plain,
% 73.90/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 73.90/46.75 inference(quant_inst,[status(thm)],[])).
% 73.90/46.75 tff(26654,plain,
% 73.90/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2))),
% 73.90/46.75 inference(modus_ponens,[status(thm)],[26653, 26652])).
% 73.90/46.75 tff(26655,plain,
% 73.90/46.75 (v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2))),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26654, 88, 26636])).
% 73.90/46.75 tff(26656,plain,
% 73.90/46.75 (v90(constB186, bitIndex2) | (~v90(constB187, bitIndex2))),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26655, 26648])).
% 73.90/46.75 tff(26657,plain,
% 73.90/46.75 (~v90(constB187, bitIndex2)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26656, 26630])).
% 73.90/46.75 tff(26658,plain,
% 73.90/46.75 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB185)) | v130(constB185, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB185)) | v130(constB185, bitIndex1))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26659,plain,
% 73.90/46.75 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB185)) | v130(constB185, bitIndex1))),
% 73.90/46.75 inference(quant_inst,[status(thm)],[])).
% 73.90/46.75 tff(26660,plain,
% 73.90/46.75 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB185)) | v130(constB185, bitIndex1)),
% 73.90/46.75 inference(modus_ponens,[status(thm)],[26659, 26658])).
% 73.90/46.75 tff(26661,plain,
% 73.90/46.75 (v130(constB185, bitIndex1)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26660, 1121, 26535])).
% 73.90/46.75 tff(26662,plain,
% 73.90/46.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB185) | (~v130(constB185, bitIndex1)) | v127(constB185, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB185) | (~v130(constB185, bitIndex1)) | v127(constB185, bitIndex1))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26663,plain,
% 73.90/46.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB185) | (~v130(constB185, bitIndex1)) | v127(constB185, bitIndex1))),
% 73.90/46.75 inference(quant_inst,[status(thm)],[])).
% 73.90/46.75 tff(26664,plain,
% 73.90/46.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB185) | (~v130(constB185, bitIndex1)) | v127(constB185, bitIndex1)),
% 73.90/46.75 inference(modus_ponens,[status(thm)],[26663, 26662])).
% 73.90/46.75 tff(26665,plain,
% 73.90/46.75 ((~v130(constB185, bitIndex1)) | v127(constB185, bitIndex1)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26664, 824, 26559])).
% 73.90/46.75 tff(26666,plain,
% 73.90/46.75 (v127(constB185, bitIndex1)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26665, 26661])).
% 73.90/46.75 tff(26667,plain,
% 73.90/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex1)) | v129(constB186, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex1)) | v129(constB186, bitIndex1))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26668,plain,
% 73.90/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex1)) | v129(constB186, bitIndex1))),
% 73.90/46.75 inference(quant_inst,[status(thm)],[])).
% 73.90/46.75 tff(26669,plain,
% 73.90/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex1)) | v129(constB186, bitIndex1)),
% 73.90/46.75 inference(modus_ponens,[status(thm)],[26668, 26667])).
% 73.90/46.75 tff(26670,plain,
% 73.90/46.75 ((~v127(constB185, bitIndex1)) | v129(constB186, bitIndex1)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26669, 839, 26571])).
% 73.90/46.75 tff(26671,plain,
% 73.90/46.75 (v129(constB186, bitIndex1)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26670, 26666])).
% 73.90/46.75 tff(26672,plain,
% 73.90/46.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186)))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26673,plain,
% 73.90/46.75 ((v90(constB186, bitIndex1) | (~v100(constB186)) | (~v129(constB186, bitIndex1))) <=> (v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186)))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26674,plain,
% 73.90/46.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~v100(constB186)) | (~v129(constB186, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186))))),
% 73.90/46.75 inference(monotonicity,[status(thm)],[26673])).
% 73.90/46.75 tff(26675,plain,
% 73.90/46.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~v100(constB186)) | (~v129(constB186, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186)))),
% 73.90/46.75 inference(transitivity,[status(thm)],[26674, 26672])).
% 73.90/46.75 tff(26676,plain,
% 73.90/46.75 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~v100(constB186)) | (~v129(constB186, bitIndex1)))),
% 73.90/46.75 inference(quant_inst,[status(thm)],[])).
% 73.90/46.75 tff(26677,plain,
% 73.90/46.75 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186))),
% 73.90/46.75 inference(modus_ponens,[status(thm)],[26676, 26675])).
% 73.90/46.75 tff(26678,plain,
% 73.90/46.75 (v90(constB186, bitIndex1) | (~v100(constB186))),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26677, 854, 26671])).
% 73.90/46.75 tff(26679,plain,
% 73.90/46.75 (v90(constB186, bitIndex1)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26678, 26605])).
% 73.90/46.75 tff(26680,plain,
% 73.90/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex1))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26681,plain,
% 73.90/46.75 (((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex1)) | v100(constB187) | v90(constB187, bitIndex1)) <=> ((~v90(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex1))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26682,plain,
% 73.90/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex1)) | v100(constB187) | v90(constB187, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex1)))),
% 73.90/46.75 inference(monotonicity,[status(thm)],[26681])).
% 73.90/46.75 tff(26683,plain,
% 73.90/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex1)) | v100(constB187) | v90(constB187, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex1))),
% 73.90/46.75 inference(transitivity,[status(thm)],[26682, 26680])).
% 73.90/46.75 tff(26684,plain,
% 73.90/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex1)) | v100(constB187) | v90(constB187, bitIndex1))),
% 73.90/46.75 inference(quant_inst,[status(thm)],[])).
% 73.90/46.75 tff(26685,plain,
% 73.90/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex1)),
% 73.90/46.75 inference(modus_ponens,[status(thm)],[26684, 26683])).
% 73.90/46.75 tff(26686,plain,
% 73.90/46.75 ((~v90(constB186, bitIndex1)) | v100(constB187) | v90(constB187, bitIndex1)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26685, 872, 26636])).
% 73.90/46.75 tff(26687,plain,
% 73.90/46.75 ((~v90(constB186, bitIndex1)) | v90(constB187, bitIndex1)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26686, 26648])).
% 73.90/46.75 tff(26688,plain,
% 73.90/46.75 (v90(constB187, bitIndex1)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26687, 26679])).
% 73.90/46.75 tff(26689,plain,
% 73.90/46.75 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB185)) | v130(constB185, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB185)) | v130(constB185, bitIndex0))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26690,plain,
% 73.90/46.75 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB185)) | v130(constB185, bitIndex0))),
% 73.90/46.75 inference(quant_inst,[status(thm)],[])).
% 73.90/46.75 tff(26691,plain,
% 73.90/46.75 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB185)) | v130(constB185, bitIndex0)),
% 73.90/46.75 inference(modus_ponens,[status(thm)],[26690, 26689])).
% 73.90/46.75 tff(26692,plain,
% 73.90/46.75 (v130(constB185, bitIndex0)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26691, 1162, 26535])).
% 73.90/46.75 tff(26693,plain,
% 73.90/46.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26694,plain,
% 73.90/46.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0))),
% 73.90/46.75 inference(quant_inst,[status(thm)],[])).
% 73.90/46.75 tff(26695,plain,
% 73.90/46.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0)),
% 73.90/46.75 inference(modus_ponens,[status(thm)],[26694, 26693])).
% 73.90/46.75 tff(26696,plain,
% 73.90/46.75 ((~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26695, 179, 26559])).
% 73.90/46.75 tff(26697,plain,
% 73.90/46.75 (v127(constB185, bitIndex0)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26696, 26692])).
% 73.90/46.75 tff(26698,plain,
% 73.90/46.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.75 tff(26699,plain,
% 73.90/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0))),
% 73.90/46.75 inference(quant_inst,[status(thm)],[])).
% 73.90/46.75 tff(26700,plain,
% 73.90/46.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0)),
% 73.90/46.75 inference(modus_ponens,[status(thm)],[26699, 26698])).
% 73.90/46.75 tff(26701,plain,
% 73.90/46.75 ((~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26700, 197, 26571])).
% 73.90/46.75 tff(26702,plain,
% 73.90/46.75 (v129(constB186, bitIndex0)),
% 73.90/46.75 inference(unit_resolution,[status(thm)],[26701, 26697])).
% 73.90/46.75 tff(26703,plain,
% 73.90/46.75 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))),
% 73.90/46.75 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26704,plain,
% 73.90/46.76 ((v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0))) <=> (v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26705,plain,
% 73.90/46.76 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186))))),
% 73.90/46.76 inference(monotonicity,[status(thm)],[26704])).
% 73.90/46.76 tff(26706,plain,
% 73.90/46.76 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))),
% 73.90/46.76 inference(transitivity,[status(thm)],[26705, 26703])).
% 73.90/46.76 tff(26707,plain,
% 73.90/46.76 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0)))),
% 73.90/46.76 inference(quant_inst,[status(thm)],[])).
% 73.90/46.76 tff(26708,plain,
% 73.90/46.76 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186))),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26707, 26706])).
% 73.90/46.76 tff(26709,plain,
% 73.90/46.76 (v90(constB186, bitIndex0) | (~v100(constB186))),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26708, 401, 26702])).
% 73.90/46.76 tff(26710,plain,
% 73.90/46.76 (v90(constB186, bitIndex0)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26709, 26605])).
% 73.90/46.76 tff(26711,plain,
% 73.90/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26712,plain,
% 73.90/46.76 (((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0)) <=> ((~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26713,plain,
% 73.90/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0)))),
% 73.90/46.76 inference(monotonicity,[status(thm)],[26712])).
% 73.90/46.76 tff(26714,plain,
% 73.90/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))),
% 73.90/46.76 inference(transitivity,[status(thm)],[26713, 26711])).
% 73.90/46.76 tff(26715,plain,
% 73.90/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0))),
% 73.90/46.76 inference(quant_inst,[status(thm)],[])).
% 73.90/46.76 tff(26716,plain,
% 73.90/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0)),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26715, 26714])).
% 73.90/46.76 tff(26717,plain,
% 73.90/46.76 ((~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26716, 437, 26636])).
% 73.90/46.76 tff(26718,plain,
% 73.90/46.76 ((~v90(constB186, bitIndex0)) | v90(constB187, bitIndex0)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26717, 26648])).
% 73.90/46.76 tff(26719,plain,
% 73.90/46.76 (v90(constB187, bitIndex0)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26718, 26710])).
% 73.90/46.76 tff(26720,plain,
% 73.90/46.76 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2) | v122(constB187))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2) | v122(constB187))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26721,plain,
% 73.90/46.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2) | v122(constB187))),
% 73.90/46.76 inference(quant_inst,[status(thm)],[])).
% 73.90/46.76 tff(26722,plain,
% 73.90/46.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2) | v122(constB187)),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26721, 26720])).
% 73.90/46.76 tff(26723,plain,
% 73.90/46.76 (v122(constB187)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26722, 1203, 26719, 26688, 26657])).
% 73.90/46.76 tff(26724,plain,
% 73.90/46.76 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB187) | (~v122(constB187)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB187) | (~v122(constB187)))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26725,plain,
% 73.90/46.76 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB187) | (~v122(constB187)))),
% 73.90/46.76 inference(quant_inst,[status(thm)],[])).
% 73.90/46.76 tff(26726,plain,
% 73.90/46.76 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB187) | (~v122(constB187))),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26725, 26724])).
% 73.90/46.76 tff(26727,plain,
% 73.90/46.76 (v116(constB187)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26726, 1214, 26723])).
% 73.90/46.76 tff(26728,plain,
% 73.90/46.76 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB187) | (~v116(constB187)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB187) | (~v116(constB187)))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26729,plain,
% 73.90/46.76 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB187) | (~v116(constB187)))),
% 73.90/46.76 inference(quant_inst,[status(thm)],[])).
% 73.90/46.76 tff(26730,plain,
% 73.90/46.76 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB187) | (~v116(constB187))),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26729, 26728])).
% 73.90/46.76 tff(26731,plain,
% 73.90/46.76 (v115(constB187)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26730, 265, 26727])).
% 73.90/46.76 tff(26732,plain,
% 73.90/46.76 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB187) | (~v115(constB187)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB187) | (~v115(constB187)))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26733,plain,
% 73.90/46.76 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB187) | (~v115(constB187)))),
% 73.90/46.76 inference(quant_inst,[status(thm)],[])).
% 73.90/46.76 tff(26734,plain,
% 73.90/46.76 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB187) | (~v115(constB187))),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26733, 26732])).
% 73.90/46.76 tff(26735,plain,
% 73.90/46.76 (v114(constB187)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26734, 276, 26731])).
% 73.90/46.76 tff(26736,plain,
% 73.90/46.76 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB187) | (~v114(constB187)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB187) | (~v114(constB187)))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26737,plain,
% 73.90/46.76 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB187) | (~v114(constB187)))),
% 73.90/46.76 inference(quant_inst,[status(thm)],[])).
% 73.90/46.76 tff(26738,plain,
% 73.90/46.76 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB187) | (~v114(constB187))),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26737, 26736])).
% 73.90/46.76 tff(26739,plain,
% 73.90/46.76 (v113(constB187)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26738, 287, 26735])).
% 73.90/46.76 tff(26740,assumption,(~v108(constB187)), introduced(assumption)).
% 73.90/46.76 tff(26741,plain,
% 73.90/46.76 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB187) | (~v112(constB187)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB187) | (~v112(constB187)))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26742,plain,
% 73.90/46.76 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB187) | (~v112(constB187)))),
% 73.90/46.76 inference(quant_inst,[status(thm)],[])).
% 73.90/46.76 tff(26743,plain,
% 73.90/46.76 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB187) | (~v112(constB187))),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26742, 26741])).
% 73.90/46.76 tff(26744,plain,
% 73.90/46.76 (~v112(constB187)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26743, 210, 26740])).
% 73.90/46.76 tff(26745,plain,
% 73.90/46.76 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB187) | (~v26(constB187)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB187) | (~v26(constB187)))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26746,plain,
% 73.90/46.76 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB187) | (~v26(constB187)))),
% 73.90/46.76 inference(quant_inst,[status(thm)],[])).
% 73.90/46.76 tff(26747,plain,
% 73.90/46.76 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB187) | (~v26(constB187))),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26746, 26745])).
% 73.90/46.76 tff(26748,plain,
% 73.90/46.76 (~v26(constB187)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26747, 221, 26740])).
% 73.90/46.76 tff(26749,assumption,(v113(constB187)), introduced(assumption)).
% 73.90/46.76 tff(26750,plain,
% 73.90/46.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | v112(constB187) | (~v113(constB187)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26751,plain,
% 73.90/46.76 ((v26(constB187) | (~v113(constB187)) | v112(constB187)) <=> (v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26752,plain,
% 73.90/46.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | v112(constB187) | (~v113(constB187))))),
% 73.90/46.76 inference(monotonicity,[status(thm)],[26751])).
% 73.90/46.76 tff(26753,plain,
% 73.90/46.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 73.90/46.76 inference(transitivity,[status(thm)],[26752, 26750])).
% 73.90/46.76 tff(26754,plain,
% 73.90/46.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))),
% 73.90/46.76 inference(quant_inst,[status(thm)],[])).
% 73.90/46.76 tff(26755,plain,
% 73.90/46.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187))),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26754, 26753])).
% 73.90/46.76 tff(26756,plain,
% 73.90/46.76 (v26(constB187) | v112(constB187)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26755, 301, 26749])).
% 73.90/46.76 tff(26757,plain,
% 73.90/46.76 ($false),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26756, 26748, 26744])).
% 73.90/46.76 tff(26758,plain,(v108(constB187) | (~v113(constB187))), inference(lemma,lemma(discharge,[]))).
% 73.90/46.76 tff(26759,plain,
% 73.90/46.76 (v108(constB187)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26758, 26739])).
% 73.90/46.76 tff(26760,plain,
% 73.90/46.76 (nextState(constB187, constB188) <=> nextState(constB187, constB188)),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26761,axiom,(nextState(constB187, constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_187_1')).
% 73.90/46.76 tff(26762,plain,
% 73.90/46.76 (nextState(constB187, constB188)),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26761, 26760])).
% 73.90/46.76 tff(26763,plain,
% 73.90/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26764,plain,
% 73.90/46.76 (((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188)) <=> ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26765,plain,
% 73.90/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187))))),
% 73.90/46.76 inference(monotonicity,[status(thm)],[26764])).
% 73.90/46.76 tff(26766,plain,
% 73.90/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 73.90/46.76 inference(transitivity,[status(thm)],[26765, 26763])).
% 73.90/46.76 tff(26767,plain,
% 73.90/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))),
% 73.90/46.76 inference(quant_inst,[status(thm)],[])).
% 73.90/46.76 tff(26768,plain,
% 73.90/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187))),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26767, 26766])).
% 73.90/46.76 tff(26769,plain,
% 73.90/46.76 (v110(constB188) | (~v108(constB187))),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26768, 317, 26762])).
% 73.90/46.76 tff(26770,plain,
% 73.90/46.76 (v110(constB188)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26769, 26759])).
% 73.90/46.76 tff(26771,plain,
% 73.90/46.76 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26772,plain,
% 73.90/46.76 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))),
% 73.90/46.76 inference(quant_inst,[status(thm)],[])).
% 73.90/46.76 tff(26773,plain,
% 73.90/46.76 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188))),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26772, 26771])).
% 73.90/46.76 tff(26774,plain,
% 73.90/46.76 (~v104(constB188)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26773, 335, 26762, 26633])).
% 73.90/46.76 tff(26775,plain,
% 73.90/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26776,plain,
% 73.90/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))),
% 73.90/46.76 inference(quant_inst,[status(thm)],[])).
% 73.90/46.76 tff(26777,plain,
% 73.90/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB187, constB188)) | v102(constB188) | v104(constB188)),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26776, 26775])).
% 73.90/46.76 tff(26778,plain,
% 73.90/46.76 (v102(constB188) | v104(constB188)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26777, 349, 26762])).
% 73.90/46.76 tff(26779,plain,
% 73.90/46.76 (v102(constB188)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26778, 26774])).
% 73.90/46.76 tff(26780,plain,
% 73.90/46.76 (v1(constB188) <=> v1(constB188)),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26781,axiom,(v1(constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_188_1')).
% 73.90/46.76 tff(26782,plain,
% 73.90/46.76 (v1(constB188)),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26781, 26780])).
% 73.90/46.76 tff(26783,plain,
% 73.90/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26784,plain,
% 73.90/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))),
% 73.90/46.76 inference(quant_inst,[status(thm)],[])).
% 73.90/46.76 tff(26785,plain,
% 73.90/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188))),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26784, 26783])).
% 73.90/46.76 tff(26786,plain,
% 73.90/46.76 (v101(constB188) | (~v102(constB188))),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26785, 367, 26762, 26782])).
% 73.90/46.76 tff(26787,plain,
% 73.90/46.76 (v101(constB188)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26786, 26779])).
% 73.90/46.76 tff(26788,plain,
% 73.90/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26789,plain,
% 73.90/46.76 (((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188)) <=> ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26790,plain,
% 73.90/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188))))),
% 73.90/46.76 inference(monotonicity,[status(thm)],[26789])).
% 73.90/46.76 tff(26791,plain,
% 73.90/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 73.90/46.76 inference(transitivity,[status(thm)],[26790, 26788])).
% 73.90/46.76 tff(26792,plain,
% 73.90/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))),
% 73.90/46.76 inference(quant_inst,[status(thm)],[])).
% 73.90/46.76 tff(26793,plain,
% 73.90/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188))),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26792, 26791])).
% 73.90/46.76 tff(26794,plain,
% 73.90/46.76 (v100(constB188) | (~v101(constB188)) | (~v110(constB188))),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26793, 382, 26762])).
% 73.90/46.76 tff(26795,plain,
% 73.90/46.76 (v100(constB188) | (~v110(constB188))),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26794, 26787])).
% 73.90/46.76 tff(26796,plain,
% 73.90/46.76 (v100(constB188)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26795, 26770])).
% 73.90/46.76 tff(26797,plain,
% 73.90/46.76 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB187)) | v130(constB187, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB187)) | v130(constB187, bitIndex2))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26798,plain,
% 73.90/46.76 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB187)) | v130(constB187, bitIndex2))),
% 73.90/46.76 inference(quant_inst,[status(thm)],[])).
% 73.90/46.76 tff(26799,plain,
% 73.90/46.76 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB187)) | v130(constB187, bitIndex2)),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26798, 26797])).
% 73.90/46.76 tff(26800,plain,
% 73.90/46.76 (v130(constB187, bitIndex2)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26799, 1290, 26723])).
% 73.90/46.76 tff(26801,assumption,(v26(constB187)), introduced(assumption)).
% 73.90/46.76 tff(26802,plain,
% 73.90/46.76 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB187))),
% 73.90/46.76 inference(quant_inst,[status(thm)],[])).
% 73.90/46.76 tff(26803,plain,
% 73.90/46.76 ($false),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26802, 37, 26801])).
% 73.90/46.76 tff(26804,plain,(~v26(constB187)), inference(lemma,lemma(discharge,[]))).
% 73.90/46.76 tff(26805,plain,
% 73.90/46.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB187) | (~v130(constB187, bitIndex2)) | v127(constB187, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB187) | (~v130(constB187, bitIndex2)) | v127(constB187, bitIndex2))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26806,plain,
% 73.90/46.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB187) | (~v130(constB187, bitIndex2)) | v127(constB187, bitIndex2))),
% 73.90/46.76 inference(quant_inst,[status(thm)],[])).
% 73.90/46.76 tff(26807,plain,
% 73.90/46.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB187) | (~v130(constB187, bitIndex2)) | v127(constB187, bitIndex2)),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26806, 26805])).
% 73.90/46.76 tff(26808,plain,
% 73.90/46.76 ((~v130(constB187, bitIndex2)) | v127(constB187, bitIndex2)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26807, 1304, 26804])).
% 73.90/46.76 tff(26809,plain,
% 73.90/46.76 (v127(constB187, bitIndex2)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26808, 26800])).
% 73.90/46.76 tff(26810,plain,
% 73.90/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v127(constB187, bitIndex2)) | v129(constB188, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB187, constB188)) | (~v127(constB187, bitIndex2)) | v129(constB188, bitIndex2))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26811,plain,
% 73.90/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v127(constB187, bitIndex2)) | v129(constB188, bitIndex2))),
% 73.90/46.76 inference(quant_inst,[status(thm)],[])).
% 73.90/46.76 tff(26812,plain,
% 73.90/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB187, constB188)) | (~v127(constB187, bitIndex2)) | v129(constB188, bitIndex2)),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26811, 26810])).
% 73.90/46.76 tff(26813,plain,
% 73.90/46.76 ((~v127(constB187, bitIndex2)) | v129(constB188, bitIndex2)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26812, 1319, 26762])).
% 73.90/46.76 tff(26814,plain,
% 73.90/46.76 (v129(constB188, bitIndex2)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26813, 26809])).
% 73.90/46.76 tff(26815,plain,
% 73.90/46.76 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188)))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26816,plain,
% 73.90/46.76 ((v90(constB188, bitIndex2) | (~v100(constB188)) | (~v129(constB188, bitIndex2))) <=> (v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188)))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26817,plain,
% 73.90/46.76 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~v100(constB188)) | (~v129(constB188, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188))))),
% 73.90/46.76 inference(monotonicity,[status(thm)],[26816])).
% 73.90/46.76 tff(26818,plain,
% 73.90/46.76 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~v100(constB188)) | (~v129(constB188, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188)))),
% 73.90/46.76 inference(transitivity,[status(thm)],[26817, 26815])).
% 73.90/46.76 tff(26819,plain,
% 73.90/46.76 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~v100(constB188)) | (~v129(constB188, bitIndex2)))),
% 73.90/46.76 inference(quant_inst,[status(thm)],[])).
% 73.90/46.76 tff(26820,plain,
% 73.90/46.76 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188))),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26819, 26818])).
% 73.90/46.76 tff(26821,plain,
% 73.90/46.76 (v90(constB188, bitIndex2) | (~v100(constB188))),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26820, 1334, 26814])).
% 73.90/46.76 tff(26822,plain,
% 73.90/46.76 (v90(constB188, bitIndex2)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26821, 26796])).
% 73.90/46.76 tff(26823,plain,
% 73.90/46.76 ((~v1(constB189)) <=> (~v1(constB189))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26824,axiom,(~v1(constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_189_1_1')).
% 73.90/46.76 tff(26825,plain,
% 73.90/46.76 (~v1(constB189)),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26824, 26823])).
% 73.90/46.76 tff(26826,plain,
% 73.90/46.76 (nextState(constB188, constB189) <=> nextState(constB188, constB189)),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26827,axiom,(nextState(constB188, constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_188_1')).
% 73.90/46.76 tff(26828,plain,
% 73.90/46.76 (nextState(constB188, constB189)),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26827, 26826])).
% 73.90/46.76 tff(26829,plain,
% 73.90/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26830,plain,
% 73.90/46.76 (((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189)) <=> (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26831,plain,
% 73.90/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189))))),
% 73.90/46.76 inference(monotonicity,[status(thm)],[26830])).
% 73.90/46.76 tff(26832,plain,
% 73.90/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 73.90/46.76 inference(transitivity,[status(thm)],[26831, 26829])).
% 73.90/46.76 tff(26833,plain,
% 73.90/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))),
% 73.90/46.76 inference(quant_inst,[status(thm)],[])).
% 73.90/46.76 tff(26834,plain,
% 73.90/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189))),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26833, 26832])).
% 73.90/46.76 tff(26835,plain,
% 73.90/46.76 (~v101(constB189)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26834, 56, 26828, 26825])).
% 73.90/46.76 tff(26836,plain,
% 73.90/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26837,plain,
% 73.90/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))),
% 73.90/46.76 inference(quant_inst,[status(thm)],[])).
% 73.90/46.76 tff(26838,plain,
% 73.90/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189))),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26837, 26836])).
% 73.90/46.76 tff(26839,plain,
% 73.90/46.76 (v101(constB189) | (~v100(constB189))),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26838, 73, 26828])).
% 73.90/46.76 tff(26840,plain,
% 73.90/46.76 (~v100(constB189)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26839, 26835])).
% 73.90/46.76 tff(26841,plain,
% 73.90/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex2))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26842,plain,
% 73.90/46.76 (((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex2)) | v100(constB189) | v90(constB189, bitIndex2)) <=> ((~v90(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex2))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26843,plain,
% 73.90/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex2)) | v100(constB189) | v90(constB189, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex2)))),
% 73.90/46.76 inference(monotonicity,[status(thm)],[26842])).
% 73.90/46.76 tff(26844,plain,
% 73.90/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex2)) | v100(constB189) | v90(constB189, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex2))),
% 73.90/46.76 inference(transitivity,[status(thm)],[26843, 26841])).
% 73.90/46.76 tff(26845,plain,
% 73.90/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex2)) | v100(constB189) | v90(constB189, bitIndex2))),
% 73.90/46.76 inference(quant_inst,[status(thm)],[])).
% 73.90/46.76 tff(26846,plain,
% 73.90/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex2)),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26845, 26844])).
% 73.90/46.76 tff(26847,plain,
% 73.90/46.76 ((~v90(constB188, bitIndex2)) | v100(constB189) | v90(constB189, bitIndex2)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26846, 1370, 26828])).
% 73.90/46.76 tff(26848,plain,
% 73.90/46.76 ((~v90(constB188, bitIndex2)) | v90(constB189, bitIndex2)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26847, 26840])).
% 73.90/46.76 tff(26849,plain,
% 73.90/46.76 (v90(constB189, bitIndex2)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26848, 26822])).
% 73.90/46.76 tff(26850,plain,
% 73.90/46.76 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB187)) | (~v130(constB187, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB187)) | (~v130(constB187, bitIndex1)))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26851,plain,
% 73.90/46.76 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB187)) | (~v130(constB187, bitIndex1)))),
% 73.90/46.76 inference(quant_inst,[status(thm)],[])).
% 73.90/46.76 tff(26852,plain,
% 73.90/46.76 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB187)) | (~v130(constB187, bitIndex1))),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26851, 26850])).
% 73.90/46.76 tff(26853,plain,
% 73.90/46.76 (~v130(constB187, bitIndex1)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26852, 1389, 26723])).
% 73.90/46.76 tff(26854,plain,
% 73.90/46.76 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26855,plain,
% 73.90/46.76 ((v26(constB187) | v130(constB187, bitIndex1) | (~v127(constB187, bitIndex1))) <=> ((~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26856,plain,
% 73.90/46.76 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB187) | v130(constB187, bitIndex1) | (~v127(constB187, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1)))),
% 73.90/46.76 inference(monotonicity,[status(thm)],[26855])).
% 73.90/46.76 tff(26857,plain,
% 73.90/46.76 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB187) | v130(constB187, bitIndex1) | (~v127(constB187, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1))),
% 73.90/46.76 inference(transitivity,[status(thm)],[26856, 26854])).
% 73.90/46.76 tff(26858,plain,
% 73.90/46.76 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB187) | v130(constB187, bitIndex1) | (~v127(constB187, bitIndex1)))),
% 73.90/46.76 inference(quant_inst,[status(thm)],[])).
% 73.90/46.76 tff(26859,plain,
% 73.90/46.76 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1)),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26858, 26857])).
% 73.90/46.76 tff(26860,plain,
% 73.90/46.76 ((~v127(constB187, bitIndex1)) | v130(constB187, bitIndex1)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26859, 555, 26804])).
% 73.90/46.76 tff(26861,plain,
% 73.90/46.76 (~v127(constB187, bitIndex1)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26860, 26853])).
% 73.90/46.76 tff(26862,plain,
% 73.90/46.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex1) | (~v129(constB188, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex1) | (~v129(constB188, bitIndex1)))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26863,plain,
% 73.90/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex1) | (~v129(constB188, bitIndex1)))),
% 73.90/46.76 inference(quant_inst,[status(thm)],[])).
% 73.90/46.76 tff(26864,plain,
% 73.90/46.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex1) | (~v129(constB188, bitIndex1))),
% 73.90/46.76 inference(modus_ponens,[status(thm)],[26863, 26862])).
% 73.90/46.76 tff(26865,plain,
% 73.90/46.76 (v127(constB187, bitIndex1) | (~v129(constB188, bitIndex1))),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26864, 588, 26762])).
% 73.90/46.76 tff(26866,plain,
% 73.90/46.76 (~v129(constB188, bitIndex1)),
% 73.90/46.76 inference(unit_resolution,[status(thm)],[26865, 26861])).
% 73.90/46.76 tff(26867,plain,
% 73.90/46.76 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188)))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26868,plain,
% 73.90/46.76 (((~v90(constB188, bitIndex1)) | (~v100(constB188)) | v129(constB188, bitIndex1)) <=> ((~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188)))),
% 73.90/46.76 inference(rewrite,[status(thm)],[])).
% 73.90/46.76 tff(26869,plain,
% 73.90/46.76 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | (~v100(constB188)) | v129(constB188, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188))))),
% 73.90/46.76 inference(monotonicity,[status(thm)],[26868])).
% 73.90/46.76 tff(26870,plain,
% 73.90/46.76 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | (~v100(constB188)) | v129(constB188, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188)))),
% 73.90/46.77 inference(transitivity,[status(thm)],[26869, 26867])).
% 73.90/46.77 tff(26871,plain,
% 73.90/46.77 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | (~v100(constB188)) | v129(constB188, bitIndex1))),
% 73.90/46.77 inference(quant_inst,[status(thm)],[])).
% 73.90/46.77 tff(26872,plain,
% 73.90/46.77 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188))),
% 73.90/46.77 inference(modus_ponens,[status(thm)],[26871, 26870])).
% 73.90/46.77 tff(26873,plain,
% 73.90/46.77 ((~v90(constB188, bitIndex1)) | (~v100(constB188))),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26872, 603, 26866])).
% 73.90/46.77 tff(26874,plain,
% 73.90/46.77 (~v90(constB188, bitIndex1)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26873, 26796])).
% 73.90/46.77 tff(26875,plain,
% 73.90/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex1)))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26876,plain,
% 73.90/46.77 (((~nextState(constB188, constB189)) | v90(constB188, bitIndex1) | v100(constB189) | (~v90(constB189, bitIndex1))) <=> (v90(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex1)))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26877,plain,
% 73.90/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex1) | v100(constB189) | (~v90(constB189, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex1))))),
% 73.90/46.77 inference(monotonicity,[status(thm)],[26876])).
% 73.90/46.77 tff(26878,plain,
% 73.90/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex1) | v100(constB189) | (~v90(constB189, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex1)))),
% 73.90/46.77 inference(transitivity,[status(thm)],[26877, 26875])).
% 73.90/46.77 tff(26879,plain,
% 73.90/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex1) | v100(constB189) | (~v90(constB189, bitIndex1)))),
% 73.90/46.77 inference(quant_inst,[status(thm)],[])).
% 73.90/46.77 tff(26880,plain,
% 73.90/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex1))),
% 73.90/46.77 inference(modus_ponens,[status(thm)],[26879, 26878])).
% 73.90/46.77 tff(26881,plain,
% 73.90/46.77 (v90(constB188, bitIndex1) | v100(constB189) | (~v90(constB189, bitIndex1))),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26880, 109, 26828])).
% 73.90/46.77 tff(26882,plain,
% 73.90/46.77 (v90(constB188, bitIndex1) | (~v90(constB189, bitIndex1))),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26881, 26840])).
% 73.90/46.77 tff(26883,plain,
% 73.90/46.77 (~v90(constB189, bitIndex1)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26882, 26874])).
% 73.90/46.77 tff(26884,plain,
% 73.90/46.77 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB187)) | (~v130(constB187, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB187)) | (~v130(constB187, bitIndex0)))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26885,plain,
% 73.90/46.77 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB187)) | (~v130(constB187, bitIndex0)))),
% 73.90/46.77 inference(quant_inst,[status(thm)],[])).
% 73.90/46.77 tff(26886,plain,
% 73.90/46.77 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB187)) | (~v130(constB187, bitIndex0))),
% 73.90/46.77 inference(modus_ponens,[status(thm)],[26885, 26884])).
% 73.90/46.77 tff(26887,plain,
% 73.90/46.77 (~v130(constB187, bitIndex0)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26886, 1433, 26723])).
% 73.90/46.77 tff(26888,plain,
% 73.90/46.77 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26889,plain,
% 73.90/46.77 ((v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0))) <=> ((~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26890,plain,
% 73.90/46.77 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0)))),
% 73.90/46.77 inference(monotonicity,[status(thm)],[26889])).
% 73.90/46.77 tff(26891,plain,
% 73.90/46.77 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))),
% 73.90/46.77 inference(transitivity,[status(thm)],[26890, 26888])).
% 73.90/46.77 tff(26892,plain,
% 73.90/46.77 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0)))),
% 73.90/46.77 inference(quant_inst,[status(thm)],[])).
% 73.90/46.77 tff(26893,plain,
% 73.90/46.77 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0)),
% 73.90/46.77 inference(modus_ponens,[status(thm)],[26892, 26891])).
% 73.90/46.77 tff(26894,plain,
% 73.90/46.77 ((~v127(constB187, bitIndex0)) | v130(constB187, bitIndex0)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26893, 905, 26804])).
% 73.90/46.77 tff(26895,plain,
% 73.90/46.77 (~v127(constB187, bitIndex0)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26894, 26887])).
% 73.90/46.77 tff(26896,plain,
% 73.90/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0)))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26897,plain,
% 73.90/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0)))),
% 73.90/46.77 inference(quant_inst,[status(thm)],[])).
% 73.90/46.77 tff(26898,plain,
% 73.90/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0))),
% 73.90/46.77 inference(modus_ponens,[status(thm)],[26897, 26896])).
% 73.90/46.77 tff(26899,plain,
% 73.90/46.77 (v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0))),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26898, 923, 26762])).
% 73.90/46.77 tff(26900,plain,
% 73.90/46.77 (~v129(constB188, bitIndex0)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26899, 26895])).
% 73.90/46.77 tff(26901,plain,
% 73.90/46.77 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26902,plain,
% 73.90/46.77 (((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0)) <=> ((~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26903,plain,
% 73.90/46.77 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188))))),
% 73.90/46.77 inference(monotonicity,[status(thm)],[26902])).
% 73.90/46.77 tff(26904,plain,
% 73.90/46.77 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))),
% 73.90/46.77 inference(transitivity,[status(thm)],[26903, 26901])).
% 73.90/46.77 tff(26905,plain,
% 73.90/46.77 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0))),
% 73.90/46.77 inference(quant_inst,[status(thm)],[])).
% 73.90/46.77 tff(26906,plain,
% 73.90/46.77 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188))),
% 73.90/46.77 inference(modus_ponens,[status(thm)],[26905, 26904])).
% 73.90/46.77 tff(26907,plain,
% 73.90/46.77 ((~v90(constB188, bitIndex0)) | (~v100(constB188))),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26906, 938, 26900])).
% 73.90/46.77 tff(26908,plain,
% 73.90/46.77 (~v90(constB188, bitIndex0)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26907, 26796])).
% 73.90/46.77 tff(26909,plain,
% 73.90/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26910,plain,
% 73.90/46.77 (((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0))) <=> (v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26911,plain,
% 73.90/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0))))),
% 73.90/46.77 inference(monotonicity,[status(thm)],[26910])).
% 73.90/46.77 tff(26912,plain,
% 73.90/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 73.90/46.77 inference(transitivity,[status(thm)],[26911, 26909])).
% 73.90/46.77 tff(26913,plain,
% 73.90/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 73.90/46.77 inference(quant_inst,[status(thm)],[])).
% 73.90/46.77 tff(26914,plain,
% 73.90/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0))),
% 73.90/46.77 inference(modus_ponens,[status(thm)],[26913, 26912])).
% 73.90/46.77 tff(26915,plain,
% 73.90/46.77 (v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0))),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26914, 130, 26828])).
% 73.90/46.77 tff(26916,plain,
% 73.90/46.77 (v90(constB188, bitIndex0) | (~v90(constB189, bitIndex0))),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26915, 26840])).
% 73.90/46.77 tff(26917,plain,
% 73.90/46.77 (~v90(constB189, bitIndex0)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26916, 26908])).
% 73.90/46.77 tff(26918,plain,
% 73.90/46.77 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)) | v123(constB189))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)) | v123(constB189))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26919,plain,
% 73.90/46.77 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)) | v123(constB189))),
% 73.90/46.77 inference(quant_inst,[status(thm)],[])).
% 73.90/46.77 tff(26920,plain,
% 73.90/46.77 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)) | v123(constB189)),
% 73.90/46.77 inference(modus_ponens,[status(thm)],[26919, 26918])).
% 73.90/46.77 tff(26921,plain,
% 73.90/46.77 (v123(constB189)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26920, 1477, 26917, 26883, 26849])).
% 73.90/46.77 tff(26922,plain,
% 73.90/46.77 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB189) | (~v123(constB189)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB189) | (~v123(constB189)))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26923,plain,
% 73.90/46.77 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB189) | (~v123(constB189)))),
% 73.90/46.77 inference(quant_inst,[status(thm)],[])).
% 73.90/46.77 tff(26924,plain,
% 73.90/46.77 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB189) | (~v123(constB189))),
% 73.90/46.77 inference(modus_ponens,[status(thm)],[26923, 26922])).
% 73.90/46.77 tff(26925,plain,
% 73.90/46.77 (v115(constB189)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26924, 1488, 26921])).
% 73.90/46.77 tff(26926,plain,
% 73.90/46.77 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB189) | (~v115(constB189)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB189) | (~v115(constB189)))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26927,plain,
% 73.90/46.77 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB189) | (~v115(constB189)))),
% 73.90/46.77 inference(quant_inst,[status(thm)],[])).
% 73.90/46.77 tff(26928,plain,
% 73.90/46.77 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB189) | (~v115(constB189))),
% 73.90/46.77 inference(modus_ponens,[status(thm)],[26927, 26926])).
% 73.90/46.77 tff(26929,plain,
% 73.90/46.77 (v114(constB189)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26928, 276, 26925])).
% 73.90/46.77 tff(26930,plain,
% 73.90/46.77 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB189) | (~v114(constB189)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB189) | (~v114(constB189)))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26931,plain,
% 73.90/46.77 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB189) | (~v114(constB189)))),
% 73.90/46.77 inference(quant_inst,[status(thm)],[])).
% 73.90/46.77 tff(26932,plain,
% 73.90/46.77 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB189) | (~v114(constB189))),
% 73.90/46.77 inference(modus_ponens,[status(thm)],[26931, 26930])).
% 73.90/46.77 tff(26933,plain,
% 73.90/46.77 (v113(constB189)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26932, 287, 26929])).
% 73.90/46.77 tff(26934,assumption,(v26(constB189)), introduced(assumption)).
% 73.90/46.77 tff(26935,plain,
% 73.90/46.77 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB189))),
% 73.90/46.77 inference(quant_inst,[status(thm)],[])).
% 73.90/46.77 tff(26936,plain,
% 73.90/46.77 ($false),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26935, 37, 26934])).
% 73.90/46.77 tff(26937,plain,(~v26(constB189)), inference(lemma,lemma(discharge,[]))).
% 73.90/46.77 tff(26938,plain,
% 73.90/46.77 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | (~v113(constB189)) | v112(constB189))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB189) | (~v113(constB189)) | v112(constB189))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26939,plain,
% 73.90/46.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | (~v113(constB189)) | v112(constB189))),
% 73.90/46.77 inference(quant_inst,[status(thm)],[])).
% 73.90/46.77 tff(26940,plain,
% 73.90/46.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB189) | (~v113(constB189)) | v112(constB189)),
% 73.90/46.77 inference(modus_ponens,[status(thm)],[26939, 26938])).
% 73.90/46.77 tff(26941,plain,
% 73.90/46.77 ((~v113(constB189)) | v112(constB189)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26940, 301, 26937])).
% 73.90/46.77 tff(26942,plain,
% 73.90/46.77 (v112(constB189)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26941, 26933])).
% 73.90/46.77 tff(26943,plain,
% 73.90/46.77 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB189) | (~v112(constB189)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB189) | (~v112(constB189)))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26944,plain,
% 73.90/46.77 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB189) | (~v112(constB189)))),
% 73.90/46.77 inference(quant_inst,[status(thm)],[])).
% 73.90/46.77 tff(26945,plain,
% 73.90/46.77 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB189) | (~v112(constB189))),
% 73.90/46.77 inference(modus_ponens,[status(thm)],[26944, 26943])).
% 73.90/46.77 tff(26946,plain,
% 73.90/46.77 (v108(constB189)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26945, 210, 26942])).
% 73.90/46.77 tff(26947,plain,
% 73.90/46.77 (nextState(constB189, constB190) <=> nextState(constB189, constB190)),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26948,axiom,(nextState(constB189, constB190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_189_1')).
% 73.90/46.77 tff(26949,plain,
% 73.90/46.77 (nextState(constB189, constB190)),
% 73.90/46.77 inference(modus_ponens,[status(thm)],[26948, 26947])).
% 73.90/46.77 tff(26950,plain,
% 73.90/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26951,plain,
% 73.90/46.77 (((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190)) <=> ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26952,plain,
% 73.90/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189))))),
% 73.90/46.77 inference(monotonicity,[status(thm)],[26951])).
% 73.90/46.77 tff(26953,plain,
% 73.90/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 73.90/46.77 inference(transitivity,[status(thm)],[26952, 26950])).
% 73.90/46.77 tff(26954,plain,
% 73.90/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))),
% 73.90/46.77 inference(quant_inst,[status(thm)],[])).
% 73.90/46.77 tff(26955,plain,
% 73.90/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189))),
% 73.90/46.77 inference(modus_ponens,[status(thm)],[26954, 26953])).
% 73.90/46.77 tff(26956,plain,
% 73.90/46.77 (v110(constB190) | (~v108(constB189))),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26955, 317, 26949])).
% 73.90/46.77 tff(26957,plain,
% 73.90/46.77 (v110(constB190)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26956, 26946])).
% 73.90/46.77 tff(26958,plain,
% 73.90/46.77 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26959,plain,
% 73.90/46.77 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))),
% 73.90/46.77 inference(quant_inst,[status(thm)],[])).
% 73.90/46.77 tff(26960,plain,
% 73.90/46.77 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190))),
% 73.90/46.77 inference(modus_ponens,[status(thm)],[26959, 26958])).
% 73.90/46.77 tff(26961,plain,
% 73.90/46.77 (~v104(constB190)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26960, 335, 26949, 26825])).
% 73.90/46.77 tff(26962,plain,
% 73.90/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26963,plain,
% 73.90/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))),
% 73.90/46.77 inference(quant_inst,[status(thm)],[])).
% 73.90/46.77 tff(26964,plain,
% 73.90/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB189, constB190)) | v102(constB190) | v104(constB190)),
% 73.90/46.77 inference(modus_ponens,[status(thm)],[26963, 26962])).
% 73.90/46.77 tff(26965,plain,
% 73.90/46.77 (v102(constB190) | v104(constB190)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26964, 349, 26949])).
% 73.90/46.77 tff(26966,plain,
% 73.90/46.77 (v102(constB190)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26965, 26961])).
% 73.90/46.77 tff(26967,plain,
% 73.90/46.77 (v1(constB190) <=> v1(constB190)),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26968,axiom,(v1(constB190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_190_1')).
% 73.90/46.77 tff(26969,plain,
% 73.90/46.77 (v1(constB190)),
% 73.90/46.77 inference(modus_ponens,[status(thm)],[26968, 26967])).
% 73.90/46.77 tff(26970,plain,
% 73.90/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26971,plain,
% 73.90/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))),
% 73.90/46.77 inference(quant_inst,[status(thm)],[])).
% 73.90/46.77 tff(26972,plain,
% 73.90/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190))),
% 73.90/46.77 inference(modus_ponens,[status(thm)],[26971, 26970])).
% 73.90/46.77 tff(26973,plain,
% 73.90/46.77 (v101(constB190) | (~v102(constB190))),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26972, 367, 26949, 26969])).
% 73.90/46.77 tff(26974,plain,
% 73.90/46.77 (v101(constB190)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26973, 26966])).
% 73.90/46.77 tff(26975,plain,
% 73.90/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26976,plain,
% 73.90/46.77 (((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190)) <=> ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26977,plain,
% 73.90/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190))))),
% 73.90/46.77 inference(monotonicity,[status(thm)],[26976])).
% 73.90/46.77 tff(26978,plain,
% 73.90/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 73.90/46.77 inference(transitivity,[status(thm)],[26977, 26975])).
% 73.90/46.77 tff(26979,plain,
% 73.90/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))),
% 73.90/46.77 inference(quant_inst,[status(thm)],[])).
% 73.90/46.77 tff(26980,plain,
% 73.90/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190))),
% 73.90/46.77 inference(modus_ponens,[status(thm)],[26979, 26978])).
% 73.90/46.77 tff(26981,plain,
% 73.90/46.77 (v100(constB190) | (~v101(constB190)) | (~v110(constB190))),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26980, 382, 26949])).
% 73.90/46.77 tff(26982,plain,
% 73.90/46.77 (v100(constB190) | (~v110(constB190))),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26981, 26974])).
% 73.90/46.77 tff(26983,plain,
% 73.90/46.77 (v100(constB190)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26982, 26957])).
% 73.90/46.77 tff(26984,plain,
% 73.90/46.77 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB189)) | v130(constB189, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB189)) | v130(constB189, bitIndex2))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26985,plain,
% 73.90/46.77 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB189)) | v130(constB189, bitIndex2))),
% 73.90/46.77 inference(quant_inst,[status(thm)],[])).
% 73.90/46.77 tff(26986,plain,
% 73.90/46.77 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB189)) | v130(constB189, bitIndex2)),
% 73.90/46.77 inference(modus_ponens,[status(thm)],[26985, 26984])).
% 73.90/46.77 tff(26987,plain,
% 73.90/46.77 (v130(constB189, bitIndex2)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26986, 1563, 26921])).
% 73.90/46.77 tff(26988,plain,
% 73.90/46.77 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB189) | (~v130(constB189, bitIndex2)) | v127(constB189, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB189) | (~v130(constB189, bitIndex2)) | v127(constB189, bitIndex2))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26989,plain,
% 73.90/46.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB189) | (~v130(constB189, bitIndex2)) | v127(constB189, bitIndex2))),
% 73.90/46.77 inference(quant_inst,[status(thm)],[])).
% 73.90/46.77 tff(26990,plain,
% 73.90/46.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB189) | (~v130(constB189, bitIndex2)) | v127(constB189, bitIndex2)),
% 73.90/46.77 inference(modus_ponens,[status(thm)],[26989, 26988])).
% 73.90/46.77 tff(26991,plain,
% 73.90/46.77 ((~v130(constB189, bitIndex2)) | v127(constB189, bitIndex2)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26990, 1304, 26937])).
% 73.90/46.77 tff(26992,plain,
% 73.90/46.77 (v127(constB189, bitIndex2)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26991, 26987])).
% 73.90/46.77 tff(26993,plain,
% 73.90/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex2)) | v129(constB190, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex2)) | v129(constB190, bitIndex2))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26994,plain,
% 73.90/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex2)) | v129(constB190, bitIndex2))),
% 73.90/46.77 inference(quant_inst,[status(thm)],[])).
% 73.90/46.77 tff(26995,plain,
% 73.90/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex2)) | v129(constB190, bitIndex2)),
% 73.90/46.77 inference(modus_ponens,[status(thm)],[26994, 26993])).
% 73.90/46.77 tff(26996,plain,
% 73.90/46.77 ((~v127(constB189, bitIndex2)) | v129(constB190, bitIndex2)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26995, 1319, 26949])).
% 73.90/46.77 tff(26997,plain,
% 73.90/46.77 (v129(constB190, bitIndex2)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[26996, 26992])).
% 73.90/46.77 tff(26998,plain,
% 73.90/46.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190)))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(26999,plain,
% 73.90/46.77 ((v90(constB190, bitIndex2) | (~v100(constB190)) | (~v129(constB190, bitIndex2))) <=> (v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190)))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(27000,plain,
% 73.90/46.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~v100(constB190)) | (~v129(constB190, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190))))),
% 73.90/46.77 inference(monotonicity,[status(thm)],[26999])).
% 73.90/46.77 tff(27001,plain,
% 73.90/46.77 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~v100(constB190)) | (~v129(constB190, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190)))),
% 73.90/46.77 inference(transitivity,[status(thm)],[27000, 26998])).
% 73.90/46.77 tff(27002,plain,
% 73.90/46.77 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~v100(constB190)) | (~v129(constB190, bitIndex2)))),
% 73.90/46.77 inference(quant_inst,[status(thm)],[])).
% 73.90/46.77 tff(27003,plain,
% 73.90/46.77 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190))),
% 73.90/46.77 inference(modus_ponens,[status(thm)],[27002, 27001])).
% 73.90/46.77 tff(27004,plain,
% 73.90/46.77 (v90(constB190, bitIndex2) | (~v100(constB190))),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[27003, 1334, 26997])).
% 73.90/46.77 tff(27005,plain,
% 73.90/46.77 (v90(constB190, bitIndex2)),
% 73.90/46.77 inference(unit_resolution,[status(thm)],[27004, 26983])).
% 73.90/46.77 tff(27006,plain,
% 73.90/46.77 ((~v1(constB191)) <=> (~v1(constB191))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(27007,axiom,(~v1(constB191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_191_1_1')).
% 73.90/46.77 tff(27008,plain,
% 73.90/46.77 (~v1(constB191)),
% 73.90/46.77 inference(modus_ponens,[status(thm)],[27007, 27006])).
% 73.90/46.77 tff(27009,plain,
% 73.90/46.77 (nextState(constB190, constB191) <=> nextState(constB190, constB191)),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(27010,axiom,(nextState(constB190, constB191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_190_1')).
% 73.90/46.77 tff(27011,plain,
% 73.90/46.77 (nextState(constB190, constB191)),
% 73.90/46.77 inference(modus_ponens,[status(thm)],[27010, 27009])).
% 73.90/46.77 tff(27012,plain,
% 73.90/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(27013,plain,
% 73.90/46.77 (((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191)) <=> (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 73.90/46.77 inference(rewrite,[status(thm)],[])).
% 73.90/46.77 tff(27014,plain,
% 73.90/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191))))),
% 73.90/46.77 inference(monotonicity,[status(thm)],[27013])).
% 73.90/46.77 tff(27015,plain,
% 73.90/46.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 73.90/46.77 inference(transitivity,[status(thm)],[27014, 27012])).
% 73.90/46.77 tff(27016,plain,
% 73.90/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))),
% 73.90/46.77 inference(quant_inst,[status(thm)],[])).
% 73.90/46.77 tff(27017,plain,
% 73.90/46.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191))),
% 73.90/46.78 inference(modus_ponens,[status(thm)],[27016, 27015])).
% 73.90/46.78 tff(27018,plain,
% 73.90/46.78 (~v101(constB191)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27017, 56, 27011, 27008])).
% 73.90/46.78 tff(27019,plain,
% 73.90/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27020,plain,
% 73.90/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))),
% 73.90/46.78 inference(quant_inst,[status(thm)],[])).
% 73.90/46.78 tff(27021,plain,
% 73.90/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191))),
% 73.90/46.78 inference(modus_ponens,[status(thm)],[27020, 27019])).
% 73.90/46.78 tff(27022,plain,
% 73.90/46.78 (v101(constB191) | (~v100(constB191))),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27021, 73, 27011])).
% 73.90/46.78 tff(27023,plain,
% 73.90/46.78 (~v100(constB191)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27022, 27018])).
% 73.90/46.78 tff(27024,plain,
% 73.90/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex2))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27025,plain,
% 73.90/46.78 (((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex2)) | v100(constB191) | v90(constB191, bitIndex2)) <=> ((~v90(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex2))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27026,plain,
% 73.90/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex2)) | v100(constB191) | v90(constB191, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex2)))),
% 73.90/46.78 inference(monotonicity,[status(thm)],[27025])).
% 73.90/46.78 tff(27027,plain,
% 73.90/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex2)) | v100(constB191) | v90(constB191, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex2))),
% 73.90/46.78 inference(transitivity,[status(thm)],[27026, 27024])).
% 73.90/46.78 tff(27028,plain,
% 73.90/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex2)) | v100(constB191) | v90(constB191, bitIndex2))),
% 73.90/46.78 inference(quant_inst,[status(thm)],[])).
% 73.90/46.78 tff(27029,plain,
% 73.90/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex2)),
% 73.90/46.78 inference(modus_ponens,[status(thm)],[27028, 27027])).
% 73.90/46.78 tff(27030,plain,
% 73.90/46.78 ((~v90(constB190, bitIndex2)) | v100(constB191) | v90(constB191, bitIndex2)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27029, 1370, 27011])).
% 73.90/46.78 tff(27031,plain,
% 73.90/46.78 ((~v90(constB190, bitIndex2)) | v90(constB191, bitIndex2)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27030, 27023])).
% 73.90/46.78 tff(27032,plain,
% 73.90/46.78 (v90(constB191, bitIndex2)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27031, 27005])).
% 73.90/46.78 tff(27033,plain,
% 73.90/46.78 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB189)) | (~v130(constB189, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB189)) | (~v130(constB189, bitIndex1)))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27034,plain,
% 73.90/46.78 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v123(constB189)) | (~v130(constB189, bitIndex1)))),
% 73.90/46.78 inference(quant_inst,[status(thm)],[])).
% 73.90/46.78 tff(27035,plain,
% 73.90/46.78 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v123(constB189)) | (~v130(constB189, bitIndex1))),
% 73.90/46.78 inference(modus_ponens,[status(thm)],[27034, 27033])).
% 73.90/46.78 tff(27036,plain,
% 73.90/46.78 (~v130(constB189, bitIndex1)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27035, 1622, 26921])).
% 73.90/46.78 tff(27037,plain,
% 73.90/46.78 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27038,plain,
% 73.90/46.78 ((v26(constB189) | v130(constB189, bitIndex1) | (~v127(constB189, bitIndex1))) <=> ((~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27039,plain,
% 73.90/46.78 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB189) | v130(constB189, bitIndex1) | (~v127(constB189, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1)))),
% 73.90/46.78 inference(monotonicity,[status(thm)],[27038])).
% 73.90/46.78 tff(27040,plain,
% 73.90/46.78 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB189) | v130(constB189, bitIndex1) | (~v127(constB189, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1))),
% 73.90/46.78 inference(transitivity,[status(thm)],[27039, 27037])).
% 73.90/46.78 tff(27041,plain,
% 73.90/46.78 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB189) | v130(constB189, bitIndex1) | (~v127(constB189, bitIndex1)))),
% 73.90/46.78 inference(quant_inst,[status(thm)],[])).
% 73.90/46.78 tff(27042,plain,
% 73.90/46.78 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1)),
% 73.90/46.78 inference(modus_ponens,[status(thm)],[27041, 27040])).
% 73.90/46.78 tff(27043,plain,
% 73.90/46.78 ((~v127(constB189, bitIndex1)) | v130(constB189, bitIndex1)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27042, 555, 26937])).
% 73.90/46.78 tff(27044,plain,
% 73.90/46.78 (~v127(constB189, bitIndex1)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27043, 27036])).
% 73.90/46.78 tff(27045,plain,
% 73.90/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB189, constB190)) | v127(constB189, bitIndex1) | (~v129(constB190, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB189, constB190)) | v127(constB189, bitIndex1) | (~v129(constB190, bitIndex1)))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27046,plain,
% 73.90/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB189, constB190)) | v127(constB189, bitIndex1) | (~v129(constB190, bitIndex1)))),
% 73.90/46.78 inference(quant_inst,[status(thm)],[])).
% 73.90/46.78 tff(27047,plain,
% 73.90/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB189, constB190)) | v127(constB189, bitIndex1) | (~v129(constB190, bitIndex1))),
% 73.90/46.78 inference(modus_ponens,[status(thm)],[27046, 27045])).
% 73.90/46.78 tff(27048,plain,
% 73.90/46.78 (v127(constB189, bitIndex1) | (~v129(constB190, bitIndex1))),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27047, 588, 26949])).
% 73.90/46.78 tff(27049,plain,
% 73.90/46.78 (~v129(constB190, bitIndex1)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27048, 27044])).
% 73.90/46.78 tff(27050,plain,
% 73.90/46.78 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190)))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27051,plain,
% 73.90/46.78 (((~v90(constB190, bitIndex1)) | (~v100(constB190)) | v129(constB190, bitIndex1)) <=> ((~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190)))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27052,plain,
% 73.90/46.78 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | (~v100(constB190)) | v129(constB190, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190))))),
% 73.90/46.78 inference(monotonicity,[status(thm)],[27051])).
% 73.90/46.78 tff(27053,plain,
% 73.90/46.78 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | (~v100(constB190)) | v129(constB190, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190)))),
% 73.90/46.78 inference(transitivity,[status(thm)],[27052, 27050])).
% 73.90/46.78 tff(27054,plain,
% 73.90/46.78 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | (~v100(constB190)) | v129(constB190, bitIndex1))),
% 73.90/46.78 inference(quant_inst,[status(thm)],[])).
% 73.90/46.78 tff(27055,plain,
% 73.90/46.78 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190))),
% 73.90/46.78 inference(modus_ponens,[status(thm)],[27054, 27053])).
% 73.90/46.78 tff(27056,plain,
% 73.90/46.78 ((~v90(constB190, bitIndex1)) | (~v100(constB190))),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27055, 603, 27049])).
% 73.90/46.78 tff(27057,plain,
% 73.90/46.78 (~v90(constB190, bitIndex1)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27056, 26983])).
% 73.90/46.78 tff(27058,plain,
% 73.90/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex1)))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27059,plain,
% 73.90/46.78 (((~nextState(constB190, constB191)) | v90(constB190, bitIndex1) | v100(constB191) | (~v90(constB191, bitIndex1))) <=> (v90(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex1)))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27060,plain,
% 73.90/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB190, constB191)) | v90(constB190, bitIndex1) | v100(constB191) | (~v90(constB191, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex1))))),
% 73.90/46.78 inference(monotonicity,[status(thm)],[27059])).
% 73.90/46.78 tff(27061,plain,
% 73.90/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB190, constB191)) | v90(constB190, bitIndex1) | v100(constB191) | (~v90(constB191, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex1)))),
% 73.90/46.78 inference(transitivity,[status(thm)],[27060, 27058])).
% 73.90/46.78 tff(27062,plain,
% 73.90/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB190, constB191)) | v90(constB190, bitIndex1) | v100(constB191) | (~v90(constB191, bitIndex1)))),
% 73.90/46.78 inference(quant_inst,[status(thm)],[])).
% 73.90/46.78 tff(27063,plain,
% 73.90/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex1))),
% 73.90/46.78 inference(modus_ponens,[status(thm)],[27062, 27061])).
% 73.90/46.78 tff(27064,plain,
% 73.90/46.78 (v90(constB190, bitIndex1) | v100(constB191) | (~v90(constB191, bitIndex1))),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27063, 109, 27011])).
% 73.90/46.78 tff(27065,plain,
% 73.90/46.78 (v90(constB190, bitIndex1) | (~v90(constB191, bitIndex1))),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27064, 27023])).
% 73.90/46.78 tff(27066,plain,
% 73.90/46.78 (~v90(constB191, bitIndex1)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27065, 27057])).
% 73.90/46.78 tff(27067,plain,
% 73.90/46.78 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB189)) | v130(constB189, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB189)) | v130(constB189, bitIndex0))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27068,plain,
% 73.90/46.78 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v123(constB189)) | v130(constB189, bitIndex0))),
% 73.90/46.78 inference(quant_inst,[status(thm)],[])).
% 73.90/46.78 tff(27069,plain,
% 73.90/46.78 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v123(constB189)) | v130(constB189, bitIndex0)),
% 73.90/46.78 inference(modus_ponens,[status(thm)],[27068, 27067])).
% 73.90/46.78 tff(27070,plain,
% 73.90/46.78 (v130(constB189, bitIndex0)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27069, 1666, 26921])).
% 73.90/46.78 tff(27071,plain,
% 73.90/46.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27072,plain,
% 73.90/46.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0))),
% 73.90/46.78 inference(quant_inst,[status(thm)],[])).
% 73.90/46.78 tff(27073,plain,
% 73.90/46.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0)),
% 73.90/46.78 inference(modus_ponens,[status(thm)],[27072, 27071])).
% 73.90/46.78 tff(27074,plain,
% 73.90/46.78 ((~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27073, 179, 26937])).
% 73.90/46.78 tff(27075,plain,
% 73.90/46.78 (v127(constB189, bitIndex0)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27074, 27070])).
% 73.90/46.78 tff(27076,plain,
% 73.90/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27077,plain,
% 73.90/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0))),
% 73.90/46.78 inference(quant_inst,[status(thm)],[])).
% 73.90/46.78 tff(27078,plain,
% 73.90/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0)),
% 73.90/46.78 inference(modus_ponens,[status(thm)],[27077, 27076])).
% 73.90/46.78 tff(27079,plain,
% 73.90/46.78 ((~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27078, 197, 26949])).
% 73.90/46.78 tff(27080,plain,
% 73.90/46.78 (v129(constB190, bitIndex0)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27079, 27075])).
% 73.90/46.78 tff(27081,plain,
% 73.90/46.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27082,plain,
% 73.90/46.78 ((v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0))) <=> (v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27083,plain,
% 73.90/46.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190))))),
% 73.90/46.78 inference(monotonicity,[status(thm)],[27082])).
% 73.90/46.78 tff(27084,plain,
% 73.90/46.78 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))),
% 73.90/46.78 inference(transitivity,[status(thm)],[27083, 27081])).
% 73.90/46.78 tff(27085,plain,
% 73.90/46.78 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0)))),
% 73.90/46.78 inference(quant_inst,[status(thm)],[])).
% 73.90/46.78 tff(27086,plain,
% 73.90/46.78 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190))),
% 73.90/46.78 inference(modus_ponens,[status(thm)],[27085, 27084])).
% 73.90/46.78 tff(27087,plain,
% 73.90/46.78 (v90(constB190, bitIndex0) | (~v100(constB190))),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27086, 401, 27080])).
% 73.90/46.78 tff(27088,plain,
% 73.90/46.78 (v90(constB190, bitIndex0)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27087, 26983])).
% 73.90/46.78 tff(27089,plain,
% 73.90/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27090,plain,
% 73.90/46.78 (((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0)) <=> ((~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27091,plain,
% 73.90/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0)))),
% 73.90/46.78 inference(monotonicity,[status(thm)],[27090])).
% 73.90/46.78 tff(27092,plain,
% 73.90/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))),
% 73.90/46.78 inference(transitivity,[status(thm)],[27091, 27089])).
% 73.90/46.78 tff(27093,plain,
% 73.90/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0))),
% 73.90/46.78 inference(quant_inst,[status(thm)],[])).
% 73.90/46.78 tff(27094,plain,
% 73.90/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0)),
% 73.90/46.78 inference(modus_ponens,[status(thm)],[27093, 27092])).
% 73.90/46.78 tff(27095,plain,
% 73.90/46.78 ((~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27094, 437, 27011])).
% 73.90/46.78 tff(27096,plain,
% 73.90/46.78 ((~v90(constB190, bitIndex0)) | v90(constB191, bitIndex0)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27095, 27023])).
% 73.90/46.78 tff(27097,plain,
% 73.90/46.78 (v90(constB191, bitIndex0)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27096, 27088])).
% 73.90/46.78 tff(27098,plain,
% 73.90/46.78 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | v124(constB191))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | v124(constB191))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27099,plain,
% 73.90/46.78 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | v124(constB191))),
% 73.90/46.78 inference(quant_inst,[status(thm)],[])).
% 73.90/46.78 tff(27100,plain,
% 73.90/46.78 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | v124(constB191)),
% 73.90/46.78 inference(modus_ponens,[status(thm)],[27099, 27098])).
% 73.90/46.78 tff(27101,plain,
% 73.90/46.78 (v124(constB191)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27100, 1707, 27097, 27066, 27032])).
% 73.90/46.78 tff(27102,plain,
% 73.90/46.78 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB191) | (~v124(constB191)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB191) | (~v124(constB191)))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27103,plain,
% 73.90/46.78 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB191) | (~v124(constB191)))),
% 73.90/46.78 inference(quant_inst,[status(thm)],[])).
% 73.90/46.78 tff(27104,plain,
% 73.90/46.78 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB191) | (~v124(constB191))),
% 73.90/46.78 inference(modus_ponens,[status(thm)],[27103, 27102])).
% 73.90/46.78 tff(27105,plain,
% 73.90/46.78 (v114(constB191)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27104, 1718, 27101])).
% 73.90/46.78 tff(27106,plain,
% 73.90/46.78 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB191) | (~v114(constB191)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB191) | (~v114(constB191)))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27107,plain,
% 73.90/46.78 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB191) | (~v114(constB191)))),
% 73.90/46.78 inference(quant_inst,[status(thm)],[])).
% 73.90/46.78 tff(27108,plain,
% 73.90/46.78 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB191) | (~v114(constB191))),
% 73.90/46.78 inference(modus_ponens,[status(thm)],[27107, 27106])).
% 73.90/46.78 tff(27109,plain,
% 73.90/46.78 (v113(constB191)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27108, 287, 27105])).
% 73.90/46.78 tff(27110,assumption,(v26(constB191)), introduced(assumption)).
% 73.90/46.78 tff(27111,plain,
% 73.90/46.78 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB191))),
% 73.90/46.78 inference(quant_inst,[status(thm)],[])).
% 73.90/46.78 tff(27112,plain,
% 73.90/46.78 ($false),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27111, 37, 27110])).
% 73.90/46.78 tff(27113,plain,(~v26(constB191)), inference(lemma,lemma(discharge,[]))).
% 73.90/46.78 tff(27114,plain,
% 73.90/46.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | (~v113(constB191)) | v112(constB191))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB191) | (~v113(constB191)) | v112(constB191))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27115,plain,
% 73.90/46.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | (~v113(constB191)) | v112(constB191))),
% 73.90/46.78 inference(quant_inst,[status(thm)],[])).
% 73.90/46.78 tff(27116,plain,
% 73.90/46.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB191) | (~v113(constB191)) | v112(constB191)),
% 73.90/46.78 inference(modus_ponens,[status(thm)],[27115, 27114])).
% 73.90/46.78 tff(27117,plain,
% 73.90/46.78 ((~v113(constB191)) | v112(constB191)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27116, 301, 27113])).
% 73.90/46.78 tff(27118,plain,
% 73.90/46.78 (v112(constB191)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27117, 27109])).
% 73.90/46.78 tff(27119,plain,
% 73.90/46.78 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB191) | (~v112(constB191)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB191) | (~v112(constB191)))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27120,plain,
% 73.90/46.78 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB191) | (~v112(constB191)))),
% 73.90/46.78 inference(quant_inst,[status(thm)],[])).
% 73.90/46.78 tff(27121,plain,
% 73.90/46.78 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB191) | (~v112(constB191))),
% 73.90/46.78 inference(modus_ponens,[status(thm)],[27120, 27119])).
% 73.90/46.78 tff(27122,plain,
% 73.90/46.78 (v108(constB191)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27121, 210, 27118])).
% 73.90/46.78 tff(27123,plain,
% 73.90/46.78 (nextState(constB191, constB192) <=> nextState(constB191, constB192)),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27124,axiom,(nextState(constB191, constB192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_191_1')).
% 73.90/46.78 tff(27125,plain,
% 73.90/46.78 (nextState(constB191, constB192)),
% 73.90/46.78 inference(modus_ponens,[status(thm)],[27124, 27123])).
% 73.90/46.78 tff(27126,plain,
% 73.90/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27127,plain,
% 73.90/46.78 (((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192)) <=> ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27128,plain,
% 73.90/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191))))),
% 73.90/46.78 inference(monotonicity,[status(thm)],[27127])).
% 73.90/46.78 tff(27129,plain,
% 73.90/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 73.90/46.78 inference(transitivity,[status(thm)],[27128, 27126])).
% 73.90/46.78 tff(27130,plain,
% 73.90/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))),
% 73.90/46.78 inference(quant_inst,[status(thm)],[])).
% 73.90/46.78 tff(27131,plain,
% 73.90/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191))),
% 73.90/46.78 inference(modus_ponens,[status(thm)],[27130, 27129])).
% 73.90/46.78 tff(27132,plain,
% 73.90/46.78 (v110(constB192) | (~v108(constB191))),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27131, 317, 27125])).
% 73.90/46.78 tff(27133,plain,
% 73.90/46.78 (v110(constB192)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27132, 27122])).
% 73.90/46.78 tff(27134,plain,
% 73.90/46.78 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27135,plain,
% 73.90/46.78 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))),
% 73.90/46.78 inference(quant_inst,[status(thm)],[])).
% 73.90/46.78 tff(27136,plain,
% 73.90/46.78 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192))),
% 73.90/46.78 inference(modus_ponens,[status(thm)],[27135, 27134])).
% 73.90/46.78 tff(27137,plain,
% 73.90/46.78 (~v104(constB192)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27136, 335, 27125, 27008])).
% 73.90/46.78 tff(27138,plain,
% 73.90/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27139,plain,
% 73.90/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))),
% 73.90/46.78 inference(quant_inst,[status(thm)],[])).
% 73.90/46.78 tff(27140,plain,
% 73.90/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB191, constB192)) | v102(constB192) | v104(constB192)),
% 73.90/46.78 inference(modus_ponens,[status(thm)],[27139, 27138])).
% 73.90/46.78 tff(27141,plain,
% 73.90/46.78 (v102(constB192) | v104(constB192)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27140, 349, 27125])).
% 73.90/46.78 tff(27142,plain,
% 73.90/46.78 (v102(constB192)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27141, 27137])).
% 73.90/46.78 tff(27143,plain,
% 73.90/46.78 (v1(constB192) <=> v1(constB192)),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27144,axiom,(v1(constB192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_192_1')).
% 73.90/46.78 tff(27145,plain,
% 73.90/46.78 (v1(constB192)),
% 73.90/46.78 inference(modus_ponens,[status(thm)],[27144, 27143])).
% 73.90/46.78 tff(27146,plain,
% 73.90/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27147,plain,
% 73.90/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))),
% 73.90/46.78 inference(quant_inst,[status(thm)],[])).
% 73.90/46.78 tff(27148,plain,
% 73.90/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192))),
% 73.90/46.78 inference(modus_ponens,[status(thm)],[27147, 27146])).
% 73.90/46.78 tff(27149,plain,
% 73.90/46.78 (v101(constB192) | (~v102(constB192))),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27148, 367, 27125, 27145])).
% 73.90/46.78 tff(27150,plain,
% 73.90/46.78 (v101(constB192)),
% 73.90/46.78 inference(unit_resolution,[status(thm)],[27149, 27142])).
% 73.90/46.78 tff(27151,plain,
% 73.90/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27152,plain,
% 73.90/46.78 (((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192)) <=> ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 73.90/46.78 inference(rewrite,[status(thm)],[])).
% 73.90/46.78 tff(27153,plain,
% 73.90/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192))))),
% 73.90/46.78 inference(monotonicity,[status(thm)],[27152])).
% 73.90/46.78 tff(27154,plain,
% 73.90/46.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 73.90/46.78 inference(transitivity,[status(thm)],[27153, 27151])).
% 73.90/46.78 tff(27155,plain,
% 73.90/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))),
% 73.90/46.78 inference(quant_inst,[status(thm)],[])).
% 73.90/46.78 tff(27156,plain,
% 73.90/46.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192))),
% 73.90/46.79 inference(modus_ponens,[status(thm)],[27155, 27154])).
% 73.90/46.79 tff(27157,plain,
% 73.90/46.79 (v100(constB192) | (~v101(constB192)) | (~v110(constB192))),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27156, 382, 27125])).
% 73.90/46.79 tff(27158,plain,
% 73.90/46.79 (v100(constB192) | (~v110(constB192))),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27157, 27150])).
% 73.90/46.79 tff(27159,plain,
% 73.90/46.79 (v100(constB192)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27158, 27133])).
% 73.90/46.79 tff(27160,plain,
% 73.90/46.79 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB191)) | v130(constB191, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB191)) | v130(constB191, bitIndex2))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27161,plain,
% 73.90/46.79 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v124(constB191)) | v130(constB191, bitIndex2))),
% 73.90/46.79 inference(quant_inst,[status(thm)],[])).
% 73.90/46.79 tff(27162,plain,
% 73.90/46.79 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v124(constB191)) | v130(constB191, bitIndex2)),
% 73.90/46.79 inference(modus_ponens,[status(thm)],[27161, 27160])).
% 73.90/46.79 tff(27163,plain,
% 73.90/46.79 (v130(constB191, bitIndex2)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27162, 1786, 27101])).
% 73.90/46.79 tff(27164,plain,
% 73.90/46.79 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27165,plain,
% 73.90/46.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2))),
% 73.90/46.79 inference(quant_inst,[status(thm)],[])).
% 73.90/46.79 tff(27166,plain,
% 73.90/46.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2)),
% 73.90/46.79 inference(modus_ponens,[status(thm)],[27165, 27164])).
% 73.90/46.79 tff(27167,plain,
% 73.90/46.79 ((~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27166, 1304, 27113])).
% 73.90/46.79 tff(27168,plain,
% 73.90/46.79 (v127(constB191, bitIndex2)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27167, 27163])).
% 73.90/46.79 tff(27169,plain,
% 73.90/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27170,plain,
% 73.90/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2))),
% 73.90/46.79 inference(quant_inst,[status(thm)],[])).
% 73.90/46.79 tff(27171,plain,
% 73.90/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2)),
% 73.90/46.79 inference(modus_ponens,[status(thm)],[27170, 27169])).
% 73.90/46.79 tff(27172,plain,
% 73.90/46.79 ((~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27171, 1319, 27125])).
% 73.90/46.79 tff(27173,plain,
% 73.90/46.79 (v129(constB192, bitIndex2)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27172, 27168])).
% 73.90/46.79 tff(27174,plain,
% 73.90/46.79 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192)))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27175,plain,
% 73.90/46.79 ((v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2))) <=> (v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192)))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27176,plain,
% 73.90/46.79 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192))))),
% 73.90/46.79 inference(monotonicity,[status(thm)],[27175])).
% 73.90/46.79 tff(27177,plain,
% 73.90/46.79 (((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192)))),
% 73.90/46.79 inference(transitivity,[status(thm)],[27176, 27174])).
% 73.90/46.79 tff(27178,plain,
% 73.90/46.79 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2)))),
% 73.90/46.79 inference(quant_inst,[status(thm)],[])).
% 73.90/46.79 tff(27179,plain,
% 73.90/46.79 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192))),
% 73.90/46.79 inference(modus_ponens,[status(thm)],[27178, 27177])).
% 73.90/46.79 tff(27180,plain,
% 73.90/46.79 (v90(constB192, bitIndex2) | (~v100(constB192))),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27179, 1334, 27173])).
% 73.90/46.79 tff(27181,plain,
% 73.90/46.79 (v90(constB192, bitIndex2)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27180, 27159])).
% 73.90/46.79 tff(27182,plain,
% 73.90/46.79 ((~v1(constB193)) <=> (~v1(constB193))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27183,axiom,(~v1(constB193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_193_1_1')).
% 73.90/46.79 tff(27184,plain,
% 73.90/46.79 (~v1(constB193)),
% 73.90/46.79 inference(modus_ponens,[status(thm)],[27183, 27182])).
% 73.90/46.79 tff(27185,plain,
% 73.90/46.79 (nextState(constB192, constB193) <=> nextState(constB192, constB193)),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27186,axiom,(nextState(constB192, constB193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_192_1')).
% 73.90/46.79 tff(27187,plain,
% 73.90/46.79 (nextState(constB192, constB193)),
% 73.90/46.79 inference(modus_ponens,[status(thm)],[27186, 27185])).
% 73.90/46.79 tff(27188,plain,
% 73.90/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27189,plain,
% 73.90/46.79 (((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193)) <=> (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27190,plain,
% 73.90/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193))))),
% 73.90/46.79 inference(monotonicity,[status(thm)],[27189])).
% 73.90/46.79 tff(27191,plain,
% 73.90/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 73.90/46.79 inference(transitivity,[status(thm)],[27190, 27188])).
% 73.90/46.79 tff(27192,plain,
% 73.90/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))),
% 73.90/46.79 inference(quant_inst,[status(thm)],[])).
% 73.90/46.79 tff(27193,plain,
% 73.90/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193))),
% 73.90/46.79 inference(modus_ponens,[status(thm)],[27192, 27191])).
% 73.90/46.79 tff(27194,plain,
% 73.90/46.79 (~v101(constB193)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27193, 56, 27187, 27184])).
% 73.90/46.79 tff(27195,plain,
% 73.90/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27196,plain,
% 73.90/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))),
% 73.90/46.79 inference(quant_inst,[status(thm)],[])).
% 73.90/46.79 tff(27197,plain,
% 73.90/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193))),
% 73.90/46.79 inference(modus_ponens,[status(thm)],[27196, 27195])).
% 73.90/46.79 tff(27198,plain,
% 73.90/46.79 (v101(constB193) | (~v100(constB193))),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27197, 73, 27187])).
% 73.90/46.79 tff(27199,plain,
% 73.90/46.79 (~v100(constB193)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27198, 27194])).
% 73.90/46.79 tff(27200,plain,
% 73.90/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27201,plain,
% 73.90/46.79 (((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2)) <=> ((~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27202,plain,
% 73.90/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2)))),
% 73.90/46.79 inference(monotonicity,[status(thm)],[27201])).
% 73.90/46.79 tff(27203,plain,
% 73.90/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2))),
% 73.90/46.79 inference(transitivity,[status(thm)],[27202, 27200])).
% 73.90/46.79 tff(27204,plain,
% 73.90/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2))),
% 73.90/46.79 inference(quant_inst,[status(thm)],[])).
% 73.90/46.79 tff(27205,plain,
% 73.90/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2)),
% 73.90/46.79 inference(modus_ponens,[status(thm)],[27204, 27203])).
% 73.90/46.79 tff(27206,plain,
% 73.90/46.79 ((~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27205, 1370, 27187])).
% 73.90/46.79 tff(27207,plain,
% 73.90/46.79 ((~v90(constB192, bitIndex2)) | v90(constB193, bitIndex2)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27206, 27199])).
% 73.90/46.79 tff(27208,plain,
% 73.90/46.79 (v90(constB193, bitIndex2)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27207, 27181])).
% 73.90/46.79 tff(27209,plain,
% 73.90/46.79 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB191)) | v130(constB191, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB191)) | v130(constB191, bitIndex1))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27210,plain,
% 73.90/46.79 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB191)) | v130(constB191, bitIndex1))),
% 73.90/46.79 inference(quant_inst,[status(thm)],[])).
% 73.90/46.79 tff(27211,plain,
% 73.90/46.79 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB191)) | v130(constB191, bitIndex1)),
% 73.90/46.79 inference(modus_ponens,[status(thm)],[27210, 27209])).
% 73.90/46.79 tff(27212,plain,
% 73.90/46.79 (v130(constB191, bitIndex1)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27211, 1867, 27101])).
% 73.90/46.79 tff(27213,plain,
% 73.90/46.79 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB191) | (~v130(constB191, bitIndex1)) | v127(constB191, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB191) | (~v130(constB191, bitIndex1)) | v127(constB191, bitIndex1))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27214,plain,
% 73.90/46.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB191) | (~v130(constB191, bitIndex1)) | v127(constB191, bitIndex1))),
% 73.90/46.79 inference(quant_inst,[status(thm)],[])).
% 73.90/46.79 tff(27215,plain,
% 73.90/46.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB191) | (~v130(constB191, bitIndex1)) | v127(constB191, bitIndex1)),
% 73.90/46.79 inference(modus_ponens,[status(thm)],[27214, 27213])).
% 73.90/46.79 tff(27216,plain,
% 73.90/46.79 ((~v130(constB191, bitIndex1)) | v127(constB191, bitIndex1)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27215, 824, 27113])).
% 73.90/46.79 tff(27217,plain,
% 73.90/46.79 (v127(constB191, bitIndex1)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27216, 27212])).
% 73.90/46.79 tff(27218,plain,
% 73.90/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB191, constB192)) | (~v127(constB191, bitIndex1)) | v129(constB192, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB191, constB192)) | (~v127(constB191, bitIndex1)) | v129(constB192, bitIndex1))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27219,plain,
% 73.90/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB191, constB192)) | (~v127(constB191, bitIndex1)) | v129(constB192, bitIndex1))),
% 73.90/46.79 inference(quant_inst,[status(thm)],[])).
% 73.90/46.79 tff(27220,plain,
% 73.90/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB191, constB192)) | (~v127(constB191, bitIndex1)) | v129(constB192, bitIndex1)),
% 73.90/46.79 inference(modus_ponens,[status(thm)],[27219, 27218])).
% 73.90/46.79 tff(27221,plain,
% 73.90/46.79 ((~v127(constB191, bitIndex1)) | v129(constB192, bitIndex1)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27220, 839, 27125])).
% 73.90/46.79 tff(27222,plain,
% 73.90/46.79 (v129(constB192, bitIndex1)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27221, 27217])).
% 73.90/46.79 tff(27223,plain,
% 73.90/46.79 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1)) | (~v100(constB192)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1)) | (~v100(constB192)))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27224,plain,
% 73.90/46.79 ((v90(constB192, bitIndex1) | (~v100(constB192)) | (~v129(constB192, bitIndex1))) <=> (v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1)) | (~v100(constB192)))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27225,plain,
% 73.90/46.79 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB192, bitIndex1) | (~v100(constB192)) | (~v129(constB192, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1)) | (~v100(constB192))))),
% 73.90/46.79 inference(monotonicity,[status(thm)],[27224])).
% 73.90/46.79 tff(27226,plain,
% 73.90/46.79 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB192, bitIndex1) | (~v100(constB192)) | (~v129(constB192, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1)) | (~v100(constB192)))),
% 73.90/46.79 inference(transitivity,[status(thm)],[27225, 27223])).
% 73.90/46.79 tff(27227,plain,
% 73.90/46.79 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB192, bitIndex1) | (~v100(constB192)) | (~v129(constB192, bitIndex1)))),
% 73.90/46.79 inference(quant_inst,[status(thm)],[])).
% 73.90/46.79 tff(27228,plain,
% 73.90/46.79 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1)) | (~v100(constB192))),
% 73.90/46.79 inference(modus_ponens,[status(thm)],[27227, 27226])).
% 73.90/46.79 tff(27229,plain,
% 73.90/46.79 (v90(constB192, bitIndex1) | (~v100(constB192))),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27228, 854, 27222])).
% 73.90/46.79 tff(27230,plain,
% 73.90/46.79 (v90(constB192, bitIndex1)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27229, 27159])).
% 73.90/46.79 tff(27231,plain,
% 73.90/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex1))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27232,plain,
% 73.90/46.79 (((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex1)) | v100(constB193) | v90(constB193, bitIndex1)) <=> ((~v90(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex1))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27233,plain,
% 73.90/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex1)) | v100(constB193) | v90(constB193, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex1)))),
% 73.90/46.79 inference(monotonicity,[status(thm)],[27232])).
% 73.90/46.79 tff(27234,plain,
% 73.90/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex1)) | v100(constB193) | v90(constB193, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex1))),
% 73.90/46.79 inference(transitivity,[status(thm)],[27233, 27231])).
% 73.90/46.79 tff(27235,plain,
% 73.90/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex1)) | v100(constB193) | v90(constB193, bitIndex1))),
% 73.90/46.79 inference(quant_inst,[status(thm)],[])).
% 73.90/46.79 tff(27236,plain,
% 73.90/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex1)),
% 73.90/46.79 inference(modus_ponens,[status(thm)],[27235, 27234])).
% 73.90/46.79 tff(27237,plain,
% 73.90/46.79 ((~v90(constB192, bitIndex1)) | v100(constB193) | v90(constB193, bitIndex1)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27236, 872, 27187])).
% 73.90/46.79 tff(27238,plain,
% 73.90/46.79 ((~v90(constB192, bitIndex1)) | v90(constB193, bitIndex1)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27237, 27199])).
% 73.90/46.79 tff(27239,plain,
% 73.90/46.79 (v90(constB193, bitIndex1)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27238, 27230])).
% 73.90/46.79 tff(27240,plain,
% 73.90/46.79 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB191)) | (~v130(constB191, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB191)) | (~v130(constB191, bitIndex0)))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27241,plain,
% 73.90/46.79 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v124(constB191)) | (~v130(constB191, bitIndex0)))),
% 73.90/46.79 inference(quant_inst,[status(thm)],[])).
% 73.90/46.79 tff(27242,plain,
% 73.90/46.79 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v124(constB191)) | (~v130(constB191, bitIndex0))),
% 73.90/46.79 inference(modus_ponens,[status(thm)],[27241, 27240])).
% 73.90/46.79 tff(27243,plain,
% 73.90/46.79 (~v130(constB191, bitIndex0)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27242, 1992, 27101])).
% 73.90/46.79 tff(27244,plain,
% 73.90/46.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27245,plain,
% 73.90/46.79 ((v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0))) <=> ((~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27246,plain,
% 73.90/46.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0)))),
% 73.90/46.79 inference(monotonicity,[status(thm)],[27245])).
% 73.90/46.79 tff(27247,plain,
% 73.90/46.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0))),
% 73.90/46.79 inference(transitivity,[status(thm)],[27246, 27244])).
% 73.90/46.79 tff(27248,plain,
% 73.90/46.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0)))),
% 73.90/46.79 inference(quant_inst,[status(thm)],[])).
% 73.90/46.79 tff(27249,plain,
% 73.90/46.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0)),
% 73.90/46.79 inference(modus_ponens,[status(thm)],[27248, 27247])).
% 73.90/46.79 tff(27250,plain,
% 73.90/46.79 ((~v127(constB191, bitIndex0)) | v130(constB191, bitIndex0)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27249, 905, 27113])).
% 73.90/46.79 tff(27251,plain,
% 73.90/46.79 (~v127(constB191, bitIndex0)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27250, 27243])).
% 73.90/46.79 tff(27252,plain,
% 73.90/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0)))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27253,plain,
% 73.90/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0)))),
% 73.90/46.79 inference(quant_inst,[status(thm)],[])).
% 73.90/46.79 tff(27254,plain,
% 73.90/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0))),
% 73.90/46.79 inference(modus_ponens,[status(thm)],[27253, 27252])).
% 73.90/46.79 tff(27255,plain,
% 73.90/46.79 (v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0))),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27254, 923, 27125])).
% 73.90/46.79 tff(27256,plain,
% 73.90/46.79 (~v129(constB192, bitIndex0)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27255, 27251])).
% 73.90/46.79 tff(27257,plain,
% 73.90/46.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192)))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27258,plain,
% 73.90/46.79 (((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0)) <=> ((~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192)))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27259,plain,
% 73.90/46.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192))))),
% 73.90/46.79 inference(monotonicity,[status(thm)],[27258])).
% 73.90/46.79 tff(27260,plain,
% 73.90/46.79 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192)))),
% 73.90/46.79 inference(transitivity,[status(thm)],[27259, 27257])).
% 73.90/46.79 tff(27261,plain,
% 73.90/46.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0))),
% 73.90/46.79 inference(quant_inst,[status(thm)],[])).
% 73.90/46.79 tff(27262,plain,
% 73.90/46.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192))),
% 73.90/46.79 inference(modus_ponens,[status(thm)],[27261, 27260])).
% 73.90/46.79 tff(27263,plain,
% 73.90/46.79 ((~v90(constB192, bitIndex0)) | (~v100(constB192))),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27262, 938, 27256])).
% 73.90/46.79 tff(27264,plain,
% 73.90/46.79 (~v90(constB192, bitIndex0)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27263, 27159])).
% 73.90/46.79 tff(27265,plain,
% 73.90/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0)))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27266,plain,
% 73.90/46.79 (((~nextState(constB192, constB193)) | v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0))) <=> (v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0)))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27267,plain,
% 73.90/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB192, constB193)) | v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0))))),
% 73.90/46.79 inference(monotonicity,[status(thm)],[27266])).
% 73.90/46.79 tff(27268,plain,
% 73.90/46.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB192, constB193)) | v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0)))),
% 73.90/46.79 inference(transitivity,[status(thm)],[27267, 27265])).
% 73.90/46.79 tff(27269,plain,
% 73.90/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB192, constB193)) | v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0)))),
% 73.90/46.79 inference(quant_inst,[status(thm)],[])).
% 73.90/46.79 tff(27270,plain,
% 73.90/46.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0))),
% 73.90/46.79 inference(modus_ponens,[status(thm)],[27269, 27268])).
% 73.90/46.79 tff(27271,plain,
% 73.90/46.79 (v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0))),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27270, 130, 27187])).
% 73.90/46.79 tff(27272,plain,
% 73.90/46.79 (v90(constB192, bitIndex0) | (~v90(constB193, bitIndex0))),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27271, 27199])).
% 73.90/46.79 tff(27273,plain,
% 73.90/46.79 (~v90(constB193, bitIndex0)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27272, 27264])).
% 73.90/46.79 tff(27274,plain,
% 73.90/46.79 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex2)) | v125(constB193))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex2)) | v125(constB193))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27275,plain,
% 73.90/46.79 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex2)) | v125(constB193))),
% 73.90/46.79 inference(quant_inst,[status(thm)],[])).
% 73.90/46.79 tff(27276,plain,
% 73.90/46.79 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex2)) | v125(constB193)),
% 73.90/46.79 inference(modus_ponens,[status(thm)],[27275, 27274])).
% 73.90/46.79 tff(27277,plain,
% 73.90/46.79 (v125(constB193)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27276, 2036, 27273, 27239, 27208])).
% 73.90/46.79 tff(27278,plain,
% 73.90/46.79 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB193) | (~v125(constB193)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB193) | (~v125(constB193)))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27279,plain,
% 73.90/46.79 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB193) | (~v125(constB193)))),
% 73.90/46.79 inference(quant_inst,[status(thm)],[])).
% 73.90/46.79 tff(27280,plain,
% 73.90/46.79 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB193) | (~v125(constB193))),
% 73.90/46.79 inference(modus_ponens,[status(thm)],[27279, 27278])).
% 73.90/46.79 tff(27281,plain,
% 73.90/46.79 (v113(constB193)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27280, 2047, 27277])).
% 73.90/46.79 tff(27282,assumption,(v26(constB193)), introduced(assumption)).
% 73.90/46.79 tff(27283,plain,
% 73.90/46.79 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB193))),
% 73.90/46.79 inference(quant_inst,[status(thm)],[])).
% 73.90/46.79 tff(27284,plain,
% 73.90/46.79 ($false),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27283, 37, 27282])).
% 73.90/46.79 tff(27285,plain,(~v26(constB193)), inference(lemma,lemma(discharge,[]))).
% 73.90/46.79 tff(27286,plain,
% 73.90/46.79 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB193) | v112(constB193) | (~v113(constB193)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB193) | v112(constB193) | (~v113(constB193)))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27287,plain,
% 73.90/46.79 ((v26(constB193) | (~v113(constB193)) | v112(constB193)) <=> (v26(constB193) | v112(constB193) | (~v113(constB193)))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27288,plain,
% 73.90/46.79 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB193) | (~v113(constB193)) | v112(constB193))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB193) | v112(constB193) | (~v113(constB193))))),
% 73.90/46.79 inference(monotonicity,[status(thm)],[27287])).
% 73.90/46.79 tff(27289,plain,
% 73.90/46.79 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB193) | (~v113(constB193)) | v112(constB193))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB193) | v112(constB193) | (~v113(constB193)))),
% 73.90/46.79 inference(transitivity,[status(thm)],[27288, 27286])).
% 73.90/46.79 tff(27290,plain,
% 73.90/46.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB193) | (~v113(constB193)) | v112(constB193))),
% 73.90/46.79 inference(quant_inst,[status(thm)],[])).
% 73.90/46.79 tff(27291,plain,
% 73.90/46.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB193) | v112(constB193) | (~v113(constB193))),
% 73.90/46.79 inference(modus_ponens,[status(thm)],[27290, 27289])).
% 73.90/46.79 tff(27292,plain,
% 73.90/46.79 (v112(constB193) | (~v113(constB193))),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27291, 301, 27285])).
% 73.90/46.79 tff(27293,plain,
% 73.90/46.79 (v112(constB193)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27292, 27281])).
% 73.90/46.79 tff(27294,plain,
% 73.90/46.79 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB193) | (~v112(constB193)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB193) | (~v112(constB193)))),
% 73.90/46.79 inference(rewrite,[status(thm)],[])).
% 73.90/46.79 tff(27295,plain,
% 73.90/46.79 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB193) | (~v112(constB193)))),
% 73.90/46.79 inference(quant_inst,[status(thm)],[])).
% 73.90/46.79 tff(27296,plain,
% 73.90/46.79 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB193) | (~v112(constB193))),
% 73.90/46.79 inference(modus_ponens,[status(thm)],[27295, 27294])).
% 73.90/46.79 tff(27297,plain,
% 73.90/46.79 (v108(constB193)),
% 73.90/46.79 inference(unit_resolution,[status(thm)],[27296, 210, 27293])).
% 73.90/46.80 tff(27298,plain,
% 73.90/46.80 (nextState(constB193, constB194) <=> nextState(constB193, constB194)),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27299,axiom,(nextState(constB193, constB194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_193_1')).
% 73.90/46.80 tff(27300,plain,
% 73.90/46.80 (nextState(constB193, constB194)),
% 73.90/46.80 inference(modus_ponens,[status(thm)],[27299, 27298])).
% 73.90/46.80 tff(27301,plain,
% 73.90/46.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193)))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27302,plain,
% 73.90/46.80 (((~nextState(constB193, constB194)) | (~v108(constB193)) | v110(constB194)) <=> ((~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193)))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27303,plain,
% 73.90/46.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | (~v108(constB193)) | v110(constB194))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193))))),
% 73.90/46.80 inference(monotonicity,[status(thm)],[27302])).
% 73.90/46.80 tff(27304,plain,
% 73.90/46.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | (~v108(constB193)) | v110(constB194))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193)))),
% 73.90/46.80 inference(transitivity,[status(thm)],[27303, 27301])).
% 73.90/46.80 tff(27305,plain,
% 73.90/46.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | (~v108(constB193)) | v110(constB194))),
% 73.90/46.80 inference(quant_inst,[status(thm)],[])).
% 73.90/46.80 tff(27306,plain,
% 73.90/46.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193))),
% 73.90/46.80 inference(modus_ponens,[status(thm)],[27305, 27304])).
% 73.90/46.80 tff(27307,plain,
% 73.90/46.80 (v110(constB194) | (~v108(constB193))),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27306, 317, 27300])).
% 73.90/46.80 tff(27308,plain,
% 73.90/46.80 (v110(constB194)),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27307, 27297])).
% 73.90/46.80 tff(27309,plain,
% 73.90/46.80 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB193) | (~nextState(constB193, constB194)) | (~v104(constB194)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB193) | (~nextState(constB193, constB194)) | (~v104(constB194)))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27310,plain,
% 73.90/46.80 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB193) | (~nextState(constB193, constB194)) | (~v104(constB194)))),
% 73.90/46.80 inference(quant_inst,[status(thm)],[])).
% 73.90/46.80 tff(27311,plain,
% 73.90/46.80 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB193) | (~nextState(constB193, constB194)) | (~v104(constB194))),
% 73.90/46.80 inference(modus_ponens,[status(thm)],[27310, 27309])).
% 73.90/46.80 tff(27312,plain,
% 73.90/46.80 (~v104(constB194)),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27311, 335, 27300, 27184])).
% 73.90/46.80 tff(27313,plain,
% 73.90/46.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB193, constB194)) | v102(constB194) | v104(constB194))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB193, constB194)) | v102(constB194) | v104(constB194))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27314,plain,
% 73.90/46.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB193, constB194)) | v102(constB194) | v104(constB194))),
% 73.90/46.80 inference(quant_inst,[status(thm)],[])).
% 73.90/46.80 tff(27315,plain,
% 73.90/46.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB193, constB194)) | v102(constB194) | v104(constB194)),
% 73.90/46.80 inference(modus_ponens,[status(thm)],[27314, 27313])).
% 73.90/46.80 tff(27316,plain,
% 73.90/46.80 (v102(constB194) | v104(constB194)),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27315, 349, 27300])).
% 73.90/46.80 tff(27317,plain,
% 73.90/46.80 (v102(constB194)),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27316, 27312])).
% 73.90/46.80 tff(27318,plain,
% 73.90/46.80 (v1(constB194) <=> v1(constB194)),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27319,axiom,(v1(constB194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_194_1')).
% 73.90/46.80 tff(27320,plain,
% 73.90/46.80 (v1(constB194)),
% 73.90/46.80 inference(modus_ponens,[status(thm)],[27319, 27318])).
% 73.90/46.80 tff(27321,plain,
% 73.90/46.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB193, constB194)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB193, constB194)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194)))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27322,plain,
% 73.90/46.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB193, constB194)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194)))),
% 73.90/46.80 inference(quant_inst,[status(thm)],[])).
% 73.90/46.80 tff(27323,plain,
% 73.90/46.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB193, constB194)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194))),
% 73.90/46.80 inference(modus_ponens,[status(thm)],[27322, 27321])).
% 73.90/46.80 tff(27324,plain,
% 73.90/46.80 (v101(constB194) | (~v102(constB194))),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27323, 367, 27300, 27320])).
% 73.90/46.80 tff(27325,plain,
% 73.90/46.80 (v101(constB194)),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27324, 27317])).
% 73.90/46.80 tff(27326,plain,
% 73.90/46.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194)))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27327,plain,
% 73.90/46.80 (((~nextState(constB193, constB194)) | (~v101(constB194)) | (~v110(constB194)) | v100(constB194)) <=> ((~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194)))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27328,plain,
% 73.90/46.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | (~v101(constB194)) | (~v110(constB194)) | v100(constB194))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194))))),
% 73.90/46.80 inference(monotonicity,[status(thm)],[27327])).
% 73.90/46.80 tff(27329,plain,
% 73.90/46.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | (~v101(constB194)) | (~v110(constB194)) | v100(constB194))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194)))),
% 73.90/46.80 inference(transitivity,[status(thm)],[27328, 27326])).
% 73.90/46.80 tff(27330,plain,
% 73.90/46.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | (~v101(constB194)) | (~v110(constB194)) | v100(constB194))),
% 73.90/46.80 inference(quant_inst,[status(thm)],[])).
% 73.90/46.80 tff(27331,plain,
% 73.90/46.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194))),
% 73.90/46.80 inference(modus_ponens,[status(thm)],[27330, 27329])).
% 73.90/46.80 tff(27332,plain,
% 73.90/46.80 (v100(constB194) | (~v101(constB194)) | (~v110(constB194))),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27331, 382, 27300])).
% 73.90/46.80 tff(27333,plain,
% 73.90/46.80 (v100(constB194) | (~v110(constB194))),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27332, 27325])).
% 73.90/46.80 tff(27334,plain,
% 73.90/46.80 (v100(constB194)),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27333, 27308])).
% 73.90/46.80 tff(27335,plain,
% 73.90/46.80 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB193)) | (~v90(constB193, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB193)) | (~v90(constB193, bitIndex1)))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27336,plain,
% 73.90/46.80 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB193)) | (~v90(constB193, bitIndex1)))),
% 73.90/46.80 inference(quant_inst,[status(thm)],[])).
% 73.90/46.80 tff(27337,plain,
% 73.90/46.80 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB193)) | (~v90(constB193, bitIndex1))),
% 73.90/46.80 inference(modus_ponens,[status(thm)],[27336, 27335])).
% 73.90/46.80 tff(27338,plain,
% 73.90/46.80 (~v119(constB193)),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27337, 1908, 27239])).
% 73.90/46.80 tff(27339,plain,
% 73.90/46.80 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB193, bitIndex1)) | (~v124(constB193)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB193, bitIndex1)) | (~v124(constB193)))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27340,plain,
% 73.90/46.80 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB193, bitIndex1)) | (~v124(constB193)))),
% 73.90/46.80 inference(quant_inst,[status(thm)],[])).
% 73.90/46.80 tff(27341,plain,
% 73.90/46.80 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB193, bitIndex1)) | (~v124(constB193))),
% 73.90/46.80 inference(modus_ponens,[status(thm)],[27340, 27339])).
% 73.90/46.80 tff(27342,plain,
% 73.90/46.80 (~v124(constB193)),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27341, 1941, 27239])).
% 73.90/46.80 tff(27343,plain,
% 73.90/46.80 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB193, bitIndex1)) | (~v123(constB193)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB193, bitIndex1)) | (~v123(constB193)))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27344,plain,
% 73.90/46.80 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB193, bitIndex1)) | (~v123(constB193)))),
% 73.90/46.80 inference(quant_inst,[status(thm)],[])).
% 73.90/46.80 tff(27345,plain,
% 73.90/46.80 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB193, bitIndex1)) | (~v123(constB193))),
% 73.90/46.80 inference(modus_ponens,[status(thm)],[27344, 27343])).
% 73.90/46.80 tff(27346,plain,
% 73.90/46.80 (~v123(constB193)),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27345, 1930, 27239])).
% 73.90/46.80 tff(27347,plain,
% 73.90/46.80 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB193, bitIndex2)) | (~v122(constB193)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB193, bitIndex2)) | (~v122(constB193)))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27348,plain,
% 73.90/46.80 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB193, bitIndex2)) | (~v122(constB193)))),
% 73.90/46.80 inference(quant_inst,[status(thm)],[])).
% 73.90/46.80 tff(27349,plain,
% 73.90/46.80 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB193, bitIndex2)) | (~v122(constB193))),
% 73.90/46.80 inference(modus_ponens,[status(thm)],[27348, 27347])).
% 73.90/46.80 tff(27350,plain,
% 73.90/46.80 (~v122(constB193)),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27349, 1853, 27208])).
% 73.90/46.80 tff(27351,plain,
% 73.90/46.80 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB193, bitIndex2)) | (~v121(constB193)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB193, bitIndex2)) | (~v121(constB193)))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27352,plain,
% 73.90/46.80 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB193, bitIndex2)) | (~v121(constB193)))),
% 73.90/46.80 inference(quant_inst,[status(thm)],[])).
% 73.90/46.80 tff(27353,plain,
% 73.90/46.80 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB193, bitIndex2)) | (~v121(constB193))),
% 73.90/46.80 inference(modus_ponens,[status(thm)],[27352, 27351])).
% 73.90/46.80 tff(27354,plain,
% 73.90/46.80 (~v121(constB193)),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27353, 1842, 27208])).
% 73.90/46.80 tff(27355,plain,
% 73.90/46.80 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB193, bitIndex1)) | (~v120(constB193)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB193, bitIndex1)) | (~v120(constB193)))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27356,plain,
% 73.90/46.80 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB193, bitIndex1)) | (~v120(constB193)))),
% 73.90/46.80 inference(quant_inst,[status(thm)],[])).
% 73.90/46.80 tff(27357,plain,
% 73.90/46.80 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB193, bitIndex1)) | (~v120(constB193))),
% 73.90/46.80 inference(modus_ponens,[status(thm)],[27356, 27355])).
% 73.90/46.80 tff(27358,plain,
% 73.90/46.80 (~v120(constB193)),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27357, 1919, 27239])).
% 73.90/46.80 tff(27359,plain,
% 73.90/46.80 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB193, bitIndex2)) | v124(constB193) | v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB193, bitIndex2)) | v124(constB193) | v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27360,plain,
% 73.90/46.80 ((v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, bitIndex2))) <=> ((~v130(constB193, bitIndex2)) | v124(constB193) | v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27361,plain,
% 73.90/46.80 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB193, bitIndex2)) | v124(constB193) | v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193)))),
% 73.90/46.80 inference(monotonicity,[status(thm)],[27360])).
% 73.90/46.80 tff(27362,plain,
% 73.90/46.80 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB193, bitIndex2)) | v124(constB193) | v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193))),
% 73.90/46.80 inference(transitivity,[status(thm)],[27361, 27359])).
% 73.90/46.80 tff(27363,plain,
% 73.90/46.80 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, bitIndex2)))),
% 73.90/46.80 inference(quant_inst,[status(thm)],[])).
% 73.90/46.80 tff(27364,plain,
% 73.90/46.80 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB193, bitIndex2)) | v124(constB193) | v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193)),
% 73.90/46.80 inference(modus_ponens,[status(thm)],[27363, 27362])).
% 73.90/46.80 tff(27365,plain,
% 73.90/46.80 (~v130(constB193, bitIndex2)),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27364, 1955, 27358, 27354, 27350, 27346, 27342, 27338])).
% 73.90/46.80 tff(27366,plain,
% 73.90/46.80 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB193, bitIndex2)) | v26(constB193) | v130(constB193, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB193, bitIndex2)) | v26(constB193) | v130(constB193, bitIndex2))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27367,plain,
% 73.90/46.80 ((v26(constB193) | v130(constB193, bitIndex2) | (~v127(constB193, bitIndex2))) <=> ((~v127(constB193, bitIndex2)) | v26(constB193) | v130(constB193, bitIndex2))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27368,plain,
% 73.90/46.80 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB193) | v130(constB193, bitIndex2) | (~v127(constB193, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB193, bitIndex2)) | v26(constB193) | v130(constB193, bitIndex2)))),
% 73.90/46.80 inference(monotonicity,[status(thm)],[27367])).
% 73.90/46.80 tff(27369,plain,
% 73.90/46.80 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB193) | v130(constB193, bitIndex2) | (~v127(constB193, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB193, bitIndex2)) | v26(constB193) | v130(constB193, bitIndex2))),
% 73.90/46.80 inference(transitivity,[status(thm)],[27368, 27366])).
% 73.90/46.80 tff(27370,plain,
% 73.90/46.80 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB193) | v130(constB193, bitIndex2) | (~v127(constB193, bitIndex2)))),
% 73.90/46.80 inference(quant_inst,[status(thm)],[])).
% 73.90/46.80 tff(27371,plain,
% 73.90/46.80 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB193, bitIndex2)) | v26(constB193) | v130(constB193, bitIndex2)),
% 73.90/46.80 inference(modus_ponens,[status(thm)],[27370, 27369])).
% 73.90/46.80 tff(27372,plain,
% 73.90/46.80 ((~v127(constB193, bitIndex2)) | v130(constB193, bitIndex2)),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27371, 470, 27285])).
% 73.90/46.80 tff(27373,plain,
% 73.90/46.80 (~v127(constB193, bitIndex2)),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27372, 27365])).
% 73.90/46.80 tff(27374,plain,
% 73.90/46.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB193, constB194)) | v127(constB193, bitIndex2) | (~v129(constB194, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB193, constB194)) | v127(constB193, bitIndex2) | (~v129(constB194, bitIndex2)))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27375,plain,
% 73.90/46.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB193, constB194)) | v127(constB193, bitIndex2) | (~v129(constB194, bitIndex2)))),
% 73.90/46.80 inference(quant_inst,[status(thm)],[])).
% 73.90/46.80 tff(27376,plain,
% 73.90/46.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB193, constB194)) | v127(constB193, bitIndex2) | (~v129(constB194, bitIndex2))),
% 73.90/46.80 inference(modus_ponens,[status(thm)],[27375, 27374])).
% 73.90/46.80 tff(27377,plain,
% 73.90/46.80 (v127(constB193, bitIndex2) | (~v129(constB194, bitIndex2))),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27376, 488, 27300])).
% 73.90/46.80 tff(27378,plain,
% 73.90/46.80 (~v129(constB194, bitIndex2)),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27377, 27373])).
% 73.90/46.80 tff(27379,plain,
% 73.90/46.80 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB194, bitIndex2)) | v129(constB194, bitIndex2) | (~v100(constB194)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB194, bitIndex2)) | v129(constB194, bitIndex2) | (~v100(constB194)))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27380,plain,
% 73.90/46.80 (((~v90(constB194, bitIndex2)) | (~v100(constB194)) | v129(constB194, bitIndex2)) <=> ((~v90(constB194, bitIndex2)) | v129(constB194, bitIndex2) | (~v100(constB194)))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27381,plain,
% 73.90/46.80 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB194, bitIndex2)) | (~v100(constB194)) | v129(constB194, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB194, bitIndex2)) | v129(constB194, bitIndex2) | (~v100(constB194))))),
% 73.90/46.80 inference(monotonicity,[status(thm)],[27380])).
% 73.90/46.80 tff(27382,plain,
% 73.90/46.80 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB194, bitIndex2)) | (~v100(constB194)) | v129(constB194, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB194, bitIndex2)) | v129(constB194, bitIndex2) | (~v100(constB194)))),
% 73.90/46.80 inference(transitivity,[status(thm)],[27381, 27379])).
% 73.90/46.80 tff(27383,plain,
% 73.90/46.80 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB194, bitIndex2)) | (~v100(constB194)) | v129(constB194, bitIndex2))),
% 73.90/46.80 inference(quant_inst,[status(thm)],[])).
% 73.90/46.80 tff(27384,plain,
% 73.90/46.80 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB194, bitIndex2)) | v129(constB194, bitIndex2) | (~v100(constB194))),
% 73.90/46.80 inference(modus_ponens,[status(thm)],[27383, 27382])).
% 73.90/46.80 tff(27385,plain,
% 73.90/46.80 ((~v90(constB194, bitIndex2)) | (~v100(constB194))),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27384, 503, 27378])).
% 73.90/46.80 tff(27386,plain,
% 73.90/46.80 (~v90(constB194, bitIndex2)),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27385, 27334])).
% 73.90/46.80 tff(27387,plain,
% 73.90/46.80 ((~v1(constB195)) <=> (~v1(constB195))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27388,axiom,(~v1(constB195)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_195_1_1')).
% 73.90/46.80 tff(27389,plain,
% 73.90/46.80 (~v1(constB195)),
% 73.90/46.80 inference(modus_ponens,[status(thm)],[27388, 27387])).
% 73.90/46.80 tff(27390,plain,
% 73.90/46.80 (nextState(constB194, constB195) <=> nextState(constB194, constB195)),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27391,axiom,(nextState(constB194, constB195)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_194_1')).
% 73.90/46.80 tff(27392,plain,
% 73.90/46.80 (nextState(constB194, constB195)),
% 73.90/46.80 inference(modus_ponens,[status(thm)],[27391, 27390])).
% 73.90/46.80 tff(27393,plain,
% 73.90/46.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195)))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27394,plain,
% 73.90/46.80 (((~nextState(constB194, constB195)) | (~v101(constB195)) | v1(constB195)) <=> (v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195)))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27395,plain,
% 73.90/46.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB194, constB195)) | (~v101(constB195)) | v1(constB195))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195))))),
% 73.90/46.80 inference(monotonicity,[status(thm)],[27394])).
% 73.90/46.80 tff(27396,plain,
% 73.90/46.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB194, constB195)) | (~v101(constB195)) | v1(constB195))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195)))),
% 73.90/46.80 inference(transitivity,[status(thm)],[27395, 27393])).
% 73.90/46.80 tff(27397,plain,
% 73.90/46.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB194, constB195)) | (~v101(constB195)) | v1(constB195))),
% 73.90/46.80 inference(quant_inst,[status(thm)],[])).
% 73.90/46.80 tff(27398,plain,
% 73.90/46.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195))),
% 73.90/46.80 inference(modus_ponens,[status(thm)],[27397, 27396])).
% 73.90/46.80 tff(27399,plain,
% 73.90/46.80 (~v101(constB195)),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27398, 56, 27392, 27389])).
% 73.90/46.80 tff(27400,plain,
% 73.90/46.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB194, constB195)) | v101(constB195) | (~v100(constB195)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB194, constB195)) | v101(constB195) | (~v100(constB195)))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27401,plain,
% 73.90/46.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB194, constB195)) | v101(constB195) | (~v100(constB195)))),
% 73.90/46.80 inference(quant_inst,[status(thm)],[])).
% 73.90/46.80 tff(27402,plain,
% 73.90/46.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB194, constB195)) | v101(constB195) | (~v100(constB195))),
% 73.90/46.80 inference(modus_ponens,[status(thm)],[27401, 27400])).
% 73.90/46.80 tff(27403,plain,
% 73.90/46.80 (v101(constB195) | (~v100(constB195))),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27402, 73, 27392])).
% 73.90/46.80 tff(27404,plain,
% 73.90/46.80 (~v100(constB195)),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27403, 27399])).
% 73.90/46.80 tff(27405,plain,
% 73.90/46.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB194, bitIndex2) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB194, bitIndex2) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex2)))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27406,plain,
% 73.90/46.80 (((~nextState(constB194, constB195)) | v90(constB194, bitIndex2) | v100(constB195) | (~v90(constB195, bitIndex2))) <=> (v90(constB194, bitIndex2) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex2)))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27407,plain,
% 73.90/46.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB194, constB195)) | v90(constB194, bitIndex2) | v100(constB195) | (~v90(constB195, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB194, bitIndex2) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex2))))),
% 73.90/46.80 inference(monotonicity,[status(thm)],[27406])).
% 73.90/46.80 tff(27408,plain,
% 73.90/46.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB194, constB195)) | v90(constB194, bitIndex2) | v100(constB195) | (~v90(constB195, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB194, bitIndex2) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex2)))),
% 73.90/46.80 inference(transitivity,[status(thm)],[27407, 27405])).
% 73.90/46.80 tff(27409,plain,
% 73.90/46.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB194, constB195)) | v90(constB194, bitIndex2) | v100(constB195) | (~v90(constB195, bitIndex2)))),
% 73.90/46.80 inference(quant_inst,[status(thm)],[])).
% 73.90/46.80 tff(27410,plain,
% 73.90/46.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB194, bitIndex2) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex2))),
% 73.90/46.80 inference(modus_ponens,[status(thm)],[27409, 27408])).
% 73.90/46.80 tff(27411,plain,
% 73.90/46.80 (v90(constB194, bitIndex2) | v100(constB195) | (~v90(constB195, bitIndex2))),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27410, 88, 27392])).
% 73.90/46.80 tff(27412,plain,
% 73.90/46.80 (v90(constB194, bitIndex2) | (~v90(constB195, bitIndex2))),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27411, 27404])).
% 73.90/46.80 tff(27413,plain,
% 73.90/46.80 (~v90(constB195, bitIndex2)),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27412, 27386])).
% 73.90/46.80 tff(27414,plain,
% 73.90/46.80 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB195, bitIndex2) | (~v88(constB195, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB195, bitIndex2) | (~v88(constB195, bitIndex2)))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27415,plain,
% 73.90/46.80 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB195, bitIndex2) | (~v88(constB195, bitIndex2)))),
% 73.90/46.80 inference(quant_inst,[status(thm)],[])).
% 73.90/46.80 tff(27416,plain,
% 73.90/46.80 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB195, bitIndex2) | (~v88(constB195, bitIndex2))),
% 73.90/46.80 inference(modus_ponens,[status(thm)],[27415, 27414])).
% 73.90/46.80 tff(27417,plain,
% 73.90/46.80 (~v88(constB195, bitIndex2)),
% 73.90/46.80 inference(unit_resolution,[status(thm)],[27416, 20913, 27413])).
% 73.90/46.80 tff(27418,plain,
% 73.90/46.80 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB193, bitIndex1)) | v124(constB193) | v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB193, bitIndex1)) | v124(constB193) | v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27419,plain,
% 73.90/46.80 ((v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, bitIndex1))) <=> ((~v130(constB193, bitIndex1)) | v124(constB193) | v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193))),
% 73.90/46.80 inference(rewrite,[status(thm)],[])).
% 73.90/46.80 tff(27420,plain,
% 73.90/46.80 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB193, bitIndex1)) | v124(constB193) | v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193)))),
% 73.90/46.81 inference(monotonicity,[status(thm)],[27419])).
% 73.90/46.81 tff(27421,plain,
% 73.90/46.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB193, bitIndex1)) | v124(constB193) | v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193))),
% 73.90/46.81 inference(transitivity,[status(thm)],[27420, 27418])).
% 73.90/46.81 tff(27422,plain,
% 73.90/46.81 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, bitIndex1)))),
% 73.90/46.81 inference(quant_inst,[status(thm)],[])).
% 73.90/46.81 tff(27423,plain,
% 73.90/46.81 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB193, bitIndex1)) | v124(constB193) | v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193)),
% 73.90/46.81 inference(modus_ponens,[status(thm)],[27422, 27421])).
% 73.90/46.81 tff(27424,plain,
% 73.90/46.81 (~v130(constB193, bitIndex1)),
% 73.90/46.81 inference(unit_resolution,[status(thm)],[27423, 2146, 27358, 27354, 27350, 27346, 27342, 27338])).
% 73.90/46.81 tff(27425,plain,
% 73.90/46.81 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB193, bitIndex1)) | v26(constB193) | v130(constB193, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB193, bitIndex1)) | v26(constB193) | v130(constB193, bitIndex1))),
% 73.90/46.81 inference(rewrite,[status(thm)],[])).
% 73.90/46.81 tff(27426,plain,
% 73.90/46.81 ((v26(constB193) | v130(constB193, bitIndex1) | (~v127(constB193, bitIndex1))) <=> ((~v127(constB193, bitIndex1)) | v26(constB193) | v130(constB193, bitIndex1))),
% 73.90/46.81 inference(rewrite,[status(thm)],[])).
% 73.90/46.81 tff(27427,plain,
% 73.90/46.81 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB193) | v130(constB193, bitIndex1) | (~v127(constB193, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB193, bitIndex1)) | v26(constB193) | v130(constB193, bitIndex1)))),
% 73.90/46.81 inference(monotonicity,[status(thm)],[27426])).
% 73.90/46.81 tff(27428,plain,
% 73.90/46.81 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB193) | v130(constB193, bitIndex1) | (~v127(constB193, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB193, bitIndex1)) | v26(constB193) | v130(constB193, bitIndex1))),
% 73.90/46.81 inference(transitivity,[status(thm)],[27427, 27425])).
% 73.90/46.81 tff(27429,plain,
% 73.90/46.81 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB193) | v130(constB193, bitIndex1) | (~v127(constB193, bitIndex1)))),
% 73.90/46.81 inference(quant_inst,[status(thm)],[])).
% 73.90/46.81 tff(27430,plain,
% 73.90/46.81 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB193, bitIndex1)) | v26(constB193) | v130(constB193, bitIndex1)),
% 73.90/46.81 inference(modus_ponens,[status(thm)],[27429, 27428])).
% 73.90/46.81 tff(27431,plain,
% 73.90/46.81 ((~v127(constB193, bitIndex1)) | v130(constB193, bitIndex1)),
% 73.90/46.81 inference(unit_resolution,[status(thm)],[27430, 555, 27285])).
% 73.90/46.81 tff(27432,plain,
% 73.90/46.81 (~v127(constB193, bitIndex1)),
% 73.90/46.81 inference(unit_resolution,[status(thm)],[27431, 27424])).
% 73.90/46.81 tff(27433,plain,
% 73.90/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB193, constB194)) | v127(constB193, bitIndex1) | (~v129(constB194, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB193, constB194)) | v127(constB193, bitIndex1) | (~v129(constB194, bitIndex1)))),
% 73.90/46.81 inference(rewrite,[status(thm)],[])).
% 73.90/46.81 tff(27434,plain,
% 73.90/46.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB193, constB194)) | v127(constB193, bitIndex1) | (~v129(constB194, bitIndex1)))),
% 73.90/46.81 inference(quant_inst,[status(thm)],[])).
% 73.90/46.81 tff(27435,plain,
% 73.90/46.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB193, constB194)) | v127(constB193, bitIndex1) | (~v129(constB194, bitIndex1))),
% 73.90/46.81 inference(modus_ponens,[status(thm)],[27434, 27433])).
% 73.90/46.81 tff(27436,plain,
% 73.90/46.81 (v127(constB193, bitIndex1) | (~v129(constB194, bitIndex1))),
% 73.90/46.81 inference(unit_resolution,[status(thm)],[27435, 588, 27300])).
% 73.90/46.81 tff(27437,plain,
% 73.90/46.81 (~v129(constB194, bitIndex1)),
% 73.90/46.81 inference(unit_resolution,[status(thm)],[27436, 27432])).
% 73.90/46.81 tff(27438,plain,
% 73.90/46.81 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB194, bitIndex1)) | v129(constB194, bitIndex1) | (~v100(constB194)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB194, bitIndex1)) | v129(constB194, bitIndex1) | (~v100(constB194)))),
% 73.90/46.81 inference(rewrite,[status(thm)],[])).
% 73.90/46.81 tff(27439,plain,
% 73.90/46.81 (((~v90(constB194, bitIndex1)) | (~v100(constB194)) | v129(constB194, bitIndex1)) <=> ((~v90(constB194, bitIndex1)) | v129(constB194, bitIndex1) | (~v100(constB194)))),
% 73.90/46.81 inference(rewrite,[status(thm)],[])).
% 73.90/46.81 tff(27440,plain,
% 73.90/46.81 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB194, bitIndex1)) | (~v100(constB194)) | v129(constB194, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB194, bitIndex1)) | v129(constB194, bitIndex1) | (~v100(constB194))))),
% 73.90/46.81 inference(monotonicity,[status(thm)],[27439])).
% 73.90/46.81 tff(27441,plain,
% 73.90/46.81 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB194, bitIndex1)) | (~v100(constB194)) | v129(constB194, bitIndex1))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB194, bitIndex1)) | v129(constB194, bitIndex1) | (~v100(constB194)))),
% 73.90/46.81 inference(transitivity,[status(thm)],[27440, 27438])).
% 73.90/46.81 tff(27442,plain,
% 73.90/46.81 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB194, bitIndex1)) | (~v100(constB194)) | v129(constB194, bitIndex1))),
% 73.90/46.81 inference(quant_inst,[status(thm)],[])).
% 73.90/46.81 tff(27443,plain,
% 73.90/46.81 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB194, bitIndex1)) | v129(constB194, bitIndex1) | (~v100(constB194))),
% 73.90/46.81 inference(modus_ponens,[status(thm)],[27442, 27441])).
% 73.90/46.81 tff(27444,plain,
% 73.90/46.81 ((~v90(constB194, bitIndex1)) | (~v100(constB194))),
% 73.90/46.81 inference(unit_resolution,[status(thm)],[27443, 603, 27437])).
% 73.90/46.81 tff(27445,plain,
% 73.90/46.81 (~v90(constB194, bitIndex1)),
% 73.90/46.81 inference(unit_resolution,[status(thm)],[27444, 27334])).
% 73.90/46.81 tff(27446,plain,
% 73.90/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB194, bitIndex1) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB194, bitIndex1) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex1)))),
% 73.90/46.81 inference(rewrite,[status(thm)],[])).
% 73.90/46.81 tff(27447,plain,
% 73.90/46.81 (((~nextState(constB194, constB195)) | v90(constB194, bitIndex1) | v100(constB195) | (~v90(constB195, bitIndex1))) <=> (v90(constB194, bitIndex1) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex1)))),
% 73.90/46.81 inference(rewrite,[status(thm)],[])).
% 73.90/46.81 tff(27448,plain,
% 73.90/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB194, constB195)) | v90(constB194, bitIndex1) | v100(constB195) | (~v90(constB195, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB194, bitIndex1) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex1))))),
% 73.90/46.81 inference(monotonicity,[status(thm)],[27447])).
% 73.90/46.81 tff(27449,plain,
% 73.90/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB194, constB195)) | v90(constB194, bitIndex1) | v100(constB195) | (~v90(constB195, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB194, bitIndex1) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex1)))),
% 73.90/46.81 inference(transitivity,[status(thm)],[27448, 27446])).
% 73.90/46.81 tff(27450,plain,
% 73.90/46.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB194, constB195)) | v90(constB194, bitIndex1) | v100(constB195) | (~v90(constB195, bitIndex1)))),
% 73.90/46.81 inference(quant_inst,[status(thm)],[])).
% 73.90/46.81 tff(27451,plain,
% 73.90/46.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB194, bitIndex1) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex1))),
% 73.90/46.81 inference(modus_ponens,[status(thm)],[27450, 27449])).
% 73.90/46.81 tff(27452,plain,
% 73.90/46.81 (v90(constB194, bitIndex1) | v100(constB195) | (~v90(constB195, bitIndex1))),
% 73.90/46.81 inference(unit_resolution,[status(thm)],[27451, 109, 27392])).
% 73.90/46.81 tff(27453,plain,
% 73.90/46.81 (v90(constB194, bitIndex1) | (~v90(constB195, bitIndex1))),
% 73.90/46.81 inference(unit_resolution,[status(thm)],[27452, 27404])).
% 73.90/46.81 tff(27454,plain,
% 73.90/46.81 (~v90(constB195, bitIndex1)),
% 73.90/46.81 inference(unit_resolution,[status(thm)],[27453, 27445])).
% 73.90/46.81 tff(27455,plain,
% 73.90/46.81 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB195, bitIndex1) | (~v88(constB195, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB195, bitIndex1) | (~v88(constB195, bitIndex1)))),
% 73.90/46.81 inference(rewrite,[status(thm)],[])).
% 73.90/46.81 tff(27456,plain,
% 73.90/46.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB195, bitIndex1) | (~v88(constB195, bitIndex1)))),
% 73.98/46.81 inference(quant_inst,[status(thm)],[])).
% 73.98/46.81 tff(27457,plain,
% 73.98/46.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB195, bitIndex1) | (~v88(constB195, bitIndex1))),
% 73.98/46.81 inference(modus_ponens,[status(thm)],[27456, 27455])).
% 73.98/46.81 tff(27458,plain,
% 73.98/46.81 (~v88(constB195, bitIndex1)),
% 73.98/46.81 inference(unit_resolution,[status(thm)],[27457, 6234, 27454])).
% 73.98/46.81 tff(27459,plain,
% 73.98/46.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB193, bitIndex0) | v124(constB193) | v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB193, bitIndex0) | v124(constB193) | v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193))),
% 73.98/46.81 inference(rewrite,[status(thm)],[])).
% 73.98/46.81 tff(27460,plain,
% 73.98/46.81 ((v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | v130(constB193, bitIndex0)) <=> (v130(constB193, bitIndex0) | v124(constB193) | v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193))),
% 73.98/46.81 inference(rewrite,[status(thm)],[])).
% 73.98/46.81 tff(27461,plain,
% 73.98/46.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | v130(constB193, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB193, bitIndex0) | v124(constB193) | v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193)))),
% 73.98/46.81 inference(monotonicity,[status(thm)],[27460])).
% 73.98/46.81 tff(27462,plain,
% 73.98/46.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | v130(constB193, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB193, bitIndex0) | v124(constB193) | v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193))),
% 73.98/46.81 inference(transitivity,[status(thm)],[27461, 27459])).
% 73.98/46.81 tff(27463,plain,
% 73.98/46.81 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | v130(constB193, bitIndex0))),
% 73.98/46.81 inference(quant_inst,[status(thm)],[])).
% 73.98/46.81 tff(27464,plain,
% 73.98/46.81 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB193, bitIndex0) | v124(constB193) | v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193)),
% 73.98/46.81 inference(modus_ponens,[status(thm)],[27463, 27462])).
% 73.98/46.81 tff(27465,plain,
% 73.98/46.81 (v130(constB193, bitIndex0)),
% 73.98/46.81 inference(unit_resolution,[status(thm)],[27464, 2192, 27358, 27354, 27350, 27346, 27342, 27338])).
% 73.98/46.81 tff(27466,plain,
% 73.98/46.81 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB193) | (~v130(constB193, bitIndex0)) | v127(constB193, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB193) | (~v130(constB193, bitIndex0)) | v127(constB193, bitIndex0))),
% 73.98/46.81 inference(rewrite,[status(thm)],[])).
% 73.98/46.81 tff(27467,plain,
% 73.98/46.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB193) | (~v130(constB193, bitIndex0)) | v127(constB193, bitIndex0))),
% 73.98/46.81 inference(quant_inst,[status(thm)],[])).
% 73.98/46.81 tff(27468,plain,
% 73.98/46.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB193) | (~v130(constB193, bitIndex0)) | v127(constB193, bitIndex0)),
% 73.98/46.81 inference(modus_ponens,[status(thm)],[27467, 27466])).
% 73.98/46.81 tff(27469,plain,
% 73.98/46.81 ((~v130(constB193, bitIndex0)) | v127(constB193, bitIndex0)),
% 73.98/46.81 inference(unit_resolution,[status(thm)],[27468, 179, 27285])).
% 73.98/46.81 tff(27470,plain,
% 73.98/46.81 (v127(constB193, bitIndex0)),
% 73.98/46.81 inference(unit_resolution,[status(thm)],[27469, 27465])).
% 73.98/46.81 tff(27471,plain,
% 73.98/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB193, constB194)) | (~v127(constB193, bitIndex0)) | v129(constB194, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB193, constB194)) | (~v127(constB193, bitIndex0)) | v129(constB194, bitIndex0))),
% 73.98/46.81 inference(rewrite,[status(thm)],[])).
% 73.98/46.81 tff(27472,plain,
% 73.98/46.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB193, constB194)) | (~v127(constB193, bitIndex0)) | v129(constB194, bitIndex0))),
% 73.98/46.81 inference(quant_inst,[status(thm)],[])).
% 73.98/46.81 tff(27473,plain,
% 73.98/46.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB193, constB194)) | (~v127(constB193, bitIndex0)) | v129(constB194, bitIndex0)),
% 73.98/46.81 inference(modus_ponens,[status(thm)],[27472, 27471])).
% 73.98/46.81 tff(27474,plain,
% 73.98/46.81 ((~v127(constB193, bitIndex0)) | v129(constB194, bitIndex0)),
% 73.98/46.81 inference(unit_resolution,[status(thm)],[27473, 197, 27300])).
% 73.98/46.81 tff(27475,plain,
% 73.98/46.81 (v129(constB194, bitIndex0)),
% 73.98/46.81 inference(unit_resolution,[status(thm)],[27474, 27470])).
% 73.98/46.81 tff(27476,plain,
% 73.98/46.81 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB194, bitIndex0) | (~v129(constB194, bitIndex0)) | (~v100(constB194)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB194, bitIndex0) | (~v129(constB194, bitIndex0)) | (~v100(constB194)))),
% 73.98/46.81 inference(rewrite,[status(thm)],[])).
% 73.98/46.81 tff(27477,plain,
% 73.98/46.81 ((v90(constB194, bitIndex0) | (~v100(constB194)) | (~v129(constB194, bitIndex0))) <=> (v90(constB194, bitIndex0) | (~v129(constB194, bitIndex0)) | (~v100(constB194)))),
% 73.98/46.81 inference(rewrite,[status(thm)],[])).
% 73.98/46.81 tff(27478,plain,
% 73.98/46.81 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB194, bitIndex0) | (~v100(constB194)) | (~v129(constB194, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB194, bitIndex0) | (~v129(constB194, bitIndex0)) | (~v100(constB194))))),
% 73.98/46.81 inference(monotonicity,[status(thm)],[27477])).
% 73.98/46.81 tff(27479,plain,
% 73.98/46.81 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB194, bitIndex0) | (~v100(constB194)) | (~v129(constB194, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB194, bitIndex0) | (~v129(constB194, bitIndex0)) | (~v100(constB194)))),
% 73.98/46.81 inference(transitivity,[status(thm)],[27478, 27476])).
% 73.98/46.81 tff(27480,plain,
% 73.98/46.81 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB194, bitIndex0) | (~v100(constB194)) | (~v129(constB194, bitIndex0)))),
% 73.98/46.81 inference(quant_inst,[status(thm)],[])).
% 73.98/46.81 tff(27481,plain,
% 73.98/46.81 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB194, bitIndex0) | (~v129(constB194, bitIndex0)) | (~v100(constB194))),
% 73.98/46.81 inference(modus_ponens,[status(thm)],[27480, 27479])).
% 73.98/46.81 tff(27482,plain,
% 73.98/46.81 (v90(constB194, bitIndex0) | (~v100(constB194))),
% 73.98/46.81 inference(unit_resolution,[status(thm)],[27481, 401, 27475])).
% 73.98/46.81 tff(27483,plain,
% 73.98/46.81 (v90(constB194, bitIndex0)),
% 73.98/46.81 inference(unit_resolution,[status(thm)],[27482, 27334])).
% 73.98/46.81 tff(27484,plain,
% 73.98/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB194, bitIndex0)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB194, bitIndex0)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex0))),
% 73.98/46.81 inference(rewrite,[status(thm)],[])).
% 73.98/46.81 tff(27485,plain,
% 73.98/46.81 (((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex0)) | v100(constB195) | v90(constB195, bitIndex0)) <=> ((~v90(constB194, bitIndex0)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex0))),
% 73.98/46.81 inference(rewrite,[status(thm)],[])).
% 73.98/46.81 tff(27486,plain,
% 73.98/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex0)) | v100(constB195) | v90(constB195, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB194, bitIndex0)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex0)))),
% 73.98/46.81 inference(monotonicity,[status(thm)],[27485])).
% 73.98/46.81 tff(27487,plain,
% 73.98/46.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex0)) | v100(constB195) | v90(constB195, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB194, bitIndex0)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex0))),
% 73.98/46.81 inference(transitivity,[status(thm)],[27486, 27484])).
% 73.98/46.81 tff(27488,plain,
% 73.98/46.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex0)) | v100(constB195) | v90(constB195, bitIndex0))),
% 73.98/46.81 inference(quant_inst,[status(thm)],[])).
% 73.98/46.81 tff(27489,plain,
% 73.98/46.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB194, bitIndex0)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex0)),
% 73.98/46.81 inference(modus_ponens,[status(thm)],[27488, 27487])).
% 73.98/46.81 tff(27490,plain,
% 73.98/46.81 ((~v90(constB194, bitIndex0)) | v100(constB195) | v90(constB195, bitIndex0)),
% 73.98/46.81 inference(unit_resolution,[status(thm)],[27489, 437, 27392])).
% 73.98/46.81 tff(27491,plain,
% 73.98/46.81 ((~v90(constB194, bitIndex0)) | v90(constB195, bitIndex0)),
% 73.98/46.81 inference(unit_resolution,[status(thm)],[27490, 27404])).
% 73.98/46.81 tff(27492,plain,
% 73.98/46.81 (v90(constB195, bitIndex0)),
% 73.98/46.81 inference(unit_resolution,[status(thm)],[27491, 27483])).
% 73.98/46.81 tff(27493,plain,
% 73.98/46.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB195, bitIndex0)) | v88(constB195, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB195, bitIndex0)) | v88(constB195, bitIndex0))),
% 73.98/46.81 inference(rewrite,[status(thm)],[])).
% 73.98/46.81 tff(27494,plain,
% 73.98/46.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB195, bitIndex0)) | v88(constB195, bitIndex0))),
% 73.98/46.81 inference(quant_inst,[status(thm)],[])).
% 73.98/46.81 tff(27495,plain,
% 73.98/46.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB195, bitIndex0)) | v88(constB195, bitIndex0)),
% 73.98/46.81 inference(modus_ponens,[status(thm)],[27494, 27493])).
% 73.98/46.81 tff(27496,plain,
% 73.98/46.81 (v88(constB195, bitIndex0)),
% 73.98/46.81 inference(unit_resolution,[status(thm)],[27495, 6074, 27492])).
% 73.98/46.81 tff(27497,plain,
% 73.98/46.81 (^[VarCurr: $i] : refl((v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)))),
% 73.98/46.81 inference(bind,[status(th)],[])).
% 73.98/46.81 tff(27498,plain,
% 73.98/46.81 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 73.98/46.81 inference(quant_intro,[status(thm)],[27497])).
% 73.98/46.81 tff(27499,plain,
% 73.98/46.81 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 73.98/46.81 inference(rewrite,[status(thm)],[])).
% 73.98/46.81 tff(27500,plain,
% 73.98/46.81 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v140(VarCurr) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))), ((((v140(VarCurr) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1)) <=> ((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)) | v88(VarCurr, bitIndex1)))), rewrite(((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr)) | v88(VarCurr, bitIndex1)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))), ((((v140(VarCurr) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))))),
% 73.98/46.81 inference(bind,[status(th)],[])).
% 73.98/46.81 tff(27501,plain,
% 73.98/46.81 (![VarCurr: $i] : (((v140(VarCurr) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 73.98/46.81 inference(quant_intro,[status(thm)],[27500])).
% 73.98/46.81 tff(27502,axiom,(![VarCurr: $i] : (((v140(VarCurr) | (~v88(VarCurr, bitIndex0))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_1')).
% 73.98/46.81 tff(27503,plain,
% 73.98/46.81 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 73.98/46.81 inference(modus_ponens,[status(thm)],[27502, 27501])).
% 73.98/46.81 tff(27504,plain,
% 73.98/46.81 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 73.98/46.81 inference(modus_ponens,[status(thm)],[27503, 27499])).
% 73.98/46.81 tff(27505,plain,(
% 73.98/46.81 ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 73.98/46.81 inference(skolemize,[status(sab)],[27504])).
% 73.98/46.81 tff(27506,plain,
% 73.98/46.81 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 73.98/46.81 inference(modus_ponens,[status(thm)],[27505, 27498])).
% 73.98/46.81 tff(27507,plain,
% 73.98/46.81 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB195, bitIndex0)) | v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | v140(constB195))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB195, bitIndex0)) | v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | v140(constB195))),
% 73.98/46.81 inference(rewrite,[status(thm)],[])).
% 73.98/46.81 tff(27508,plain,
% 73.98/46.81 ((v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0)) | v140(constB195)) <=> ((~v88(constB195, bitIndex0)) | v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | v140(constB195))),
% 73.98/46.81 inference(rewrite,[status(thm)],[])).
% 73.98/46.81 tff(27509,plain,
% 73.98/46.81 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0)) | v140(constB195))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB195, bitIndex0)) | v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | v140(constB195)))),
% 73.98/46.81 inference(monotonicity,[status(thm)],[27508])).
% 73.98/46.81 tff(27510,plain,
% 73.98/46.81 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0)) | v140(constB195))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB195, bitIndex0)) | v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | v140(constB195))),
% 73.98/46.81 inference(transitivity,[status(thm)],[27509, 27507])).
% 73.98/46.81 tff(27511,plain,
% 73.98/46.81 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | (~v88(constB195, bitIndex0)) | v140(constB195))),
% 73.98/46.81 inference(quant_inst,[status(thm)],[])).
% 73.98/46.81 tff(27512,plain,
% 73.98/46.81 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB195, bitIndex0)) | v88(constB195, bitIndex2) | v88(constB195, bitIndex1) | v140(constB195)),
% 73.98/46.81 inference(modus_ponens,[status(thm)],[27511, 27510])).
% 73.98/46.81 tff(27513,plain,
% 73.98/46.81 (v140(constB195)),
% 73.98/46.81 inference(unit_resolution,[status(thm)],[27512, 27506, 27496, 27458, 27417])).
% 73.98/46.81 tff(27514,plain,
% 73.98/46.81 (^[VarCurr: $i] : refl((v200(VarCurr) | (~v140(VarCurr))) <=> (v200(VarCurr) | (~v140(VarCurr))))),
% 73.98/46.81 inference(bind,[status(th)],[])).
% 73.98/46.81 tff(27515,plain,
% 73.98/46.81 (![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr))) <=> ![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))),
% 73.98/46.81 inference(quant_intro,[status(thm)],[27514])).
% 73.98/46.81 tff(27516,plain,
% 73.98/46.81 (![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr))) <=> ![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))),
% 73.98/46.81 inference(rewrite,[status(thm)],[])).
% 73.98/46.81 tff(27517,axiom,(![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48_1_1')).
% 73.98/46.81 tff(27518,plain,
% 73.98/46.81 (![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))),
% 73.98/46.81 inference(modus_ponens,[status(thm)],[27517, 27516])).
% 73.98/46.81 tff(27519,plain,(
% 73.98/46.81 ![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))),
% 73.98/46.81 inference(skolemize,[status(sab)],[27518])).
% 73.98/46.81 tff(27520,plain,
% 73.98/46.81 (![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))),
% 73.98/46.81 inference(modus_ponens,[status(thm)],[27519, 27515])).
% 73.98/46.81 tff(27521,plain,
% 73.98/46.81 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB195) | (~v140(constB195)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB195) | (~v140(constB195)))),
% 73.98/46.81 inference(rewrite,[status(thm)],[])).
% 73.98/46.81 tff(27522,plain,
% 73.98/46.81 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB195) | (~v140(constB195)))),
% 73.98/46.81 inference(quant_inst,[status(thm)],[])).
% 73.98/46.81 tff(27523,plain,
% 73.98/46.81 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB195) | (~v140(constB195))),
% 73.98/46.81 inference(modus_ponens,[status(thm)],[27522, 27521])).
% 73.98/46.81 tff(27524,plain,
% 73.98/46.81 (v200(constB195)),
% 73.98/46.81 inference(unit_resolution,[status(thm)],[27523, 27520, 27513])).
% 73.98/46.81 tff(27525,plain,
% 73.98/46.81 (^[VarCurr: $i] : refl((v199(VarCurr) | (~v200(VarCurr))) <=> (v199(VarCurr) | (~v200(VarCurr))))),
% 73.98/46.81 inference(bind,[status(th)],[])).
% 73.98/46.81 tff(27526,plain,
% 73.98/46.81 (![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))),
% 73.98/46.81 inference(quant_intro,[status(thm)],[27525])).
% 73.98/46.81 tff(27527,plain,
% 73.98/46.81 (![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))),
% 73.98/46.81 inference(rewrite,[status(thm)],[])).
% 73.98/46.81 tff(27528,axiom,(![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_49_1_1_1')).
% 73.98/46.81 tff(27529,plain,
% 73.98/46.81 (![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))),
% 73.98/46.81 inference(modus_ponens,[status(thm)],[27528, 27527])).
% 73.98/46.81 tff(27530,plain,(
% 73.98/46.81 ![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))),
% 73.98/46.81 inference(skolemize,[status(sab)],[27529])).
% 73.98/46.81 tff(27531,plain,
% 73.98/46.81 (![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))),
% 73.98/46.81 inference(modus_ponens,[status(thm)],[27530, 27526])).
% 73.98/46.81 tff(27532,plain,
% 73.98/46.81 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB195) | (~v200(constB195)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB195) | (~v200(constB195)))),
% 73.98/46.81 inference(rewrite,[status(thm)],[])).
% 73.98/46.81 tff(27533,plain,
% 73.98/46.81 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB195) | (~v200(constB195)))),
% 73.98/46.81 inference(quant_inst,[status(thm)],[])).
% 73.98/46.81 tff(27534,plain,
% 73.98/46.81 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB195) | (~v200(constB195))),
% 73.98/46.81 inference(modus_ponens,[status(thm)],[27533, 27532])).
% 73.98/46.81 tff(27535,plain,
% 73.98/46.81 (v199(constB195)),
% 73.98/46.81 inference(unit_resolution,[status(thm)],[27534, 27531, 27524])).
% 73.98/46.81 tff(27536,plain,
% 73.98/46.81 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB195) | (~v199(constB195)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB195) | (~v199(constB195)))),
% 73.98/46.81 inference(rewrite,[status(thm)],[])).
% 73.98/46.81 tff(27537,plain,
% 73.98/46.81 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB195) | (~v199(constB195)))),
% 73.98/46.81 inference(quant_inst,[status(thm)],[])).
% 73.98/46.81 tff(27538,plain,
% 73.98/46.81 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB195) | (~v199(constB195))),
% 73.98/46.81 inference(modus_ponens,[status(thm)],[27537, 27536])).
% 73.98/46.81 tff(27539,plain,
% 73.98/46.81 (v198(constB195)),
% 73.98/46.81 inference(unit_resolution,[status(thm)],[27538, 20970, 27535])).
% 73.98/46.81 tff(27540,plain,
% 73.98/46.81 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB195)) | (~v201(constB195)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB195)) | (~v201(constB195)))),
% 73.98/46.81 inference(rewrite,[status(thm)],[])).
% 73.98/46.81 tff(27541,plain,
% 73.98/46.81 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB195)) | (~v201(constB195)))),
% 73.98/46.81 inference(quant_inst,[status(thm)],[])).
% 73.98/46.81 tff(27542,plain,
% 73.98/46.81 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB195)) | (~v201(constB195))),
% 73.98/46.81 inference(modus_ponens,[status(thm)],[27541, 27540])).
% 73.98/46.81 tff(27543,plain,
% 73.98/46.81 (~v201(constB195)),
% 73.98/46.81 inference(unit_resolution,[status(thm)],[27542, 20984, 27539])).
% 73.98/46.81 tff(27544,plain,
% 73.98/46.81 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB195) | (~v198(constB195)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB195) | (~v198(constB195)))),
% 73.98/46.81 inference(rewrite,[status(thm)],[])).
% 73.98/46.81 tff(27545,plain,
% 73.98/46.81 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB195) | (~v198(constB195)))),
% 73.98/46.81 inference(quant_inst,[status(thm)],[])).
% 73.98/46.81 tff(27546,plain,
% 73.98/46.81 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB195) | (~v198(constB195))),
% 73.98/46.81 inference(modus_ponens,[status(thm)],[27545, 27544])).
% 73.98/46.81 tff(27547,plain,
% 73.98/46.81 (v197(constB195)),
% 73.98/46.81 inference(unit_resolution,[status(thm)],[27546, 20995, 27539])).
% 73.98/46.81 tff(27548,plain,
% 73.98/46.81 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB195) | (~v197(constB195)) | v201(constB195))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB195) | (~v197(constB195)) | v201(constB195))),
% 73.98/46.81 inference(rewrite,[status(thm)],[])).
% 73.98/46.81 tff(27549,plain,
% 73.98/46.81 (((~v197(constB195)) | v201(constB195) | v227(constB195)) <=> (v227(constB195) | (~v197(constB195)) | v201(constB195))),
% 73.98/46.81 inference(rewrite,[status(thm)],[])).
% 73.98/46.81 tff(27550,plain,
% 73.98/46.81 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB195)) | v201(constB195) | v227(constB195))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB195) | (~v197(constB195)) | v201(constB195)))),
% 73.98/46.81 inference(monotonicity,[status(thm)],[27549])).
% 73.98/46.81 tff(27551,plain,
% 73.98/46.81 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB195)) | v201(constB195) | v227(constB195))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB195) | (~v197(constB195)) | v201(constB195))),
% 73.98/46.81 inference(transitivity,[status(thm)],[27550, 27548])).
% 73.98/46.81 tff(27552,plain,
% 73.98/46.81 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB195)) | v201(constB195) | v227(constB195))),
% 73.98/46.81 inference(quant_inst,[status(thm)],[])).
% 73.98/46.81 tff(27553,plain,
% 73.98/46.81 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB195) | (~v197(constB195)) | v201(constB195)),
% 73.98/46.81 inference(modus_ponens,[status(thm)],[27552, 27551])).
% 73.98/46.81 tff(27554,plain,
% 73.98/46.82 (v227(constB195)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27553, 21009, 27547, 27543])).
% 73.98/46.82 tff(27555,plain,
% 73.98/46.82 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB195)) | (~v223(constB195, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB195)) | (~v223(constB195, bitIndex0)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27556,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB195)) | (~v223(constB195, bitIndex0)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27557,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB195)) | (~v223(constB195, bitIndex0))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27556, 27555])).
% 73.98/46.82 tff(27558,plain,
% 73.98/46.82 (~v223(constB195, bitIndex0)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27557, 21023, 27554])).
% 73.98/46.82 tff(27559,plain,
% 73.98/46.82 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB195)) | (~v199(constB195)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB195)) | (~v199(constB195)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27560,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB195)) | (~v199(constB195)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27561,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB195)) | (~v199(constB195))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27560, 27559])).
% 73.98/46.82 tff(27562,plain,
% 73.98/46.82 (~v183(constB195)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27561, 21034, 27535])).
% 73.98/46.82 tff(27563,plain,
% 73.98/46.82 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB195) | (~v197(constB195)) | v183(constB195))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB195) | (~v197(constB195)) | v183(constB195))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27564,plain,
% 73.98/46.82 (((~v197(constB195)) | v183(constB195) | v228(constB195)) <=> (v228(constB195) | (~v197(constB195)) | v183(constB195))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27565,plain,
% 73.98/46.82 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB195)) | v183(constB195) | v228(constB195))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB195) | (~v197(constB195)) | v183(constB195)))),
% 73.98/46.82 inference(monotonicity,[status(thm)],[27564])).
% 73.98/46.82 tff(27566,plain,
% 73.98/46.82 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB195)) | v183(constB195) | v228(constB195))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB195) | (~v197(constB195)) | v183(constB195))),
% 73.98/46.82 inference(transitivity,[status(thm)],[27565, 27563])).
% 73.98/46.82 tff(27567,plain,
% 73.98/46.82 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB195)) | v183(constB195) | v228(constB195))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27568,plain,
% 73.98/46.82 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB195) | (~v197(constB195)) | v183(constB195)),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27567, 27566])).
% 73.98/46.82 tff(27569,plain,
% 73.98/46.82 (v228(constB195)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27568, 6287, 27547, 27562])).
% 73.98/46.82 tff(27570,plain,
% 73.98/46.82 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB195)) | (~v223(constB195, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB195)) | (~v223(constB195, bitIndex1)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27571,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB195)) | (~v223(constB195, bitIndex1)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27572,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB195)) | (~v223(constB195, bitIndex1))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27571, 27570])).
% 73.98/46.82 tff(27573,plain,
% 73.98/46.82 (~v223(constB195, bitIndex1)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27572, 6301, 27569])).
% 73.98/46.82 tff(27574,plain,
% 73.98/46.82 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB195, bitIndex1) | v223(constB195, bitIndex0) | (~v229(constB195)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB195, bitIndex1) | v223(constB195, bitIndex0) | (~v229(constB195)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27575,plain,
% 73.98/46.82 ((v223(constB195, bitIndex0) | v223(constB195, bitIndex1) | (~v229(constB195))) <=> (v223(constB195, bitIndex1) | v223(constB195, bitIndex0) | (~v229(constB195)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27576,plain,
% 73.98/46.82 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB195, bitIndex0) | v223(constB195, bitIndex1) | (~v229(constB195)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB195, bitIndex1) | v223(constB195, bitIndex0) | (~v229(constB195))))),
% 73.98/46.82 inference(monotonicity,[status(thm)],[27575])).
% 73.98/46.82 tff(27577,plain,
% 73.98/46.82 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB195, bitIndex0) | v223(constB195, bitIndex1) | (~v229(constB195)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB195, bitIndex1) | v223(constB195, bitIndex0) | (~v229(constB195)))),
% 73.98/46.82 inference(transitivity,[status(thm)],[27576, 27574])).
% 73.98/46.82 tff(27578,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB195, bitIndex0) | v223(constB195, bitIndex1) | (~v229(constB195)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27579,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB195, bitIndex1) | v223(constB195, bitIndex0) | (~v229(constB195))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27578, 27577])).
% 73.98/46.82 tff(27580,plain,
% 73.98/46.82 (~v229(constB195)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27579, 21059, 27573, 27558])).
% 73.98/46.82 tff(27581,plain,
% 73.98/46.82 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB195) | (~v225(constB195)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB195) | (~v225(constB195)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27582,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB195) | (~v225(constB195)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27583,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB195) | (~v225(constB195))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27582, 27581])).
% 73.98/46.82 tff(27584,plain,
% 73.98/46.82 (~v225(constB195)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27583, 21073, 27580])).
% 73.98/46.82 tff(27585,plain,
% 73.98/46.82 (^[VarCurr: $i] : refl(((~v166(VarCurr)) | (~v200(VarCurr))) <=> ((~v166(VarCurr)) | (~v200(VarCurr))))),
% 73.98/46.82 inference(bind,[status(th)],[])).
% 73.98/46.82 tff(27586,plain,
% 73.98/46.82 (![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr))) <=> ![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))),
% 73.98/46.82 inference(quant_intro,[status(thm)],[27585])).
% 73.98/46.82 tff(27587,plain,
% 73.98/46.82 (![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr))) <=> ![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27588,axiom,(![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_3_1_1_1')).
% 73.98/46.82 tff(27589,plain,
% 73.98/46.82 (![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27588, 27587])).
% 73.98/46.82 tff(27590,plain,(
% 73.98/46.82 ![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))),
% 73.98/46.82 inference(skolemize,[status(sab)],[27589])).
% 73.98/46.82 tff(27591,plain,
% 73.98/46.82 (![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27590, 27586])).
% 73.98/46.82 tff(27592,plain,
% 73.98/46.82 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB195)) | (~v200(constB195)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB195)) | (~v200(constB195)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27593,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB195)) | (~v200(constB195)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27594,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB195)) | (~v200(constB195))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27593, 27592])).
% 73.98/46.82 tff(27595,plain,
% 73.98/46.82 (~v166(constB195)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27594, 27591, 27524])).
% 73.98/46.82 tff(27596,plain,
% 73.98/46.82 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB195) | (~v197(constB195)) | v166(constB195))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB195) | (~v197(constB195)) | v166(constB195))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27597,plain,
% 73.98/46.82 (((~v197(constB195)) | v166(constB195) | v241(constB195)) <=> (v241(constB195) | (~v197(constB195)) | v166(constB195))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27598,plain,
% 73.98/46.82 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB195)) | v166(constB195) | v241(constB195))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB195) | (~v197(constB195)) | v166(constB195)))),
% 73.98/46.82 inference(monotonicity,[status(thm)],[27597])).
% 73.98/46.82 tff(27599,plain,
% 73.98/46.82 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB195)) | v166(constB195) | v241(constB195))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB195) | (~v197(constB195)) | v166(constB195))),
% 73.98/46.82 inference(transitivity,[status(thm)],[27598, 27596])).
% 73.98/46.82 tff(27600,plain,
% 73.98/46.82 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB195)) | v166(constB195) | v241(constB195))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27601,plain,
% 73.98/46.82 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB195) | (~v197(constB195)) | v166(constB195)),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27600, 27599])).
% 73.98/46.82 tff(27602,plain,
% 73.98/46.82 (v241(constB195) | (~v197(constB195))),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27601, 6343, 27595])).
% 73.98/46.82 tff(27603,plain,
% 73.98/46.82 (v241(constB195)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27602, 27547])).
% 73.98/46.82 tff(27604,plain,
% 73.98/46.82 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB195)) | (~v223(constB195, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB195)) | (~v223(constB195, bitIndex2)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27605,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB195)) | (~v223(constB195, bitIndex2)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27606,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB195)) | (~v223(constB195, bitIndex2))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27605, 27604])).
% 73.98/46.82 tff(27607,plain,
% 73.98/46.82 (~v223(constB195, bitIndex2)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27606, 6357, 27603])).
% 73.98/46.82 tff(27608,plain,
% 73.98/46.82 (^[VarCurr: $i] : refl((v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr))) <=> (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr))))),
% 73.98/46.82 inference(bind,[status(th)],[])).
% 73.98/46.82 tff(27609,plain,
% 73.98/46.82 (![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr))) <=> ![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))),
% 73.98/46.82 inference(quant_intro,[status(thm)],[27608])).
% 73.98/46.82 tff(27610,plain,
% 73.98/46.82 (![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr))) <=> ![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27611,plain,
% 73.98/46.82 (^[VarCurr: $i] : trans(monotonicity(rewrite((v223(VarCurr, bitIndex2) | v225(VarCurr)) <=> (v225(VarCurr) | v223(VarCurr, bitIndex2))), (((v223(VarCurr, bitIndex2) | v225(VarCurr)) | (~v242(VarCurr))) <=> ((v225(VarCurr) | v223(VarCurr, bitIndex2)) | (~v242(VarCurr))))), rewrite(((v225(VarCurr) | v223(VarCurr, bitIndex2)) | (~v242(VarCurr))) <=> (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))), (((v223(VarCurr, bitIndex2) | v225(VarCurr)) | (~v242(VarCurr))) <=> (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))))),
% 73.98/46.82 inference(bind,[status(th)],[])).
% 73.98/46.82 tff(27612,plain,
% 73.98/46.82 (![VarCurr: $i] : ((v223(VarCurr, bitIndex2) | v225(VarCurr)) | (~v242(VarCurr))) <=> ![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))),
% 73.98/46.82 inference(quant_intro,[status(thm)],[27611])).
% 73.98/46.82 tff(27613,axiom,(![VarCurr: $i] : ((v223(VarCurr, bitIndex2) | v225(VarCurr)) | (~v242(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_64_1_3')).
% 73.98/46.82 tff(27614,plain,
% 73.98/46.82 (![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27613, 27612])).
% 73.98/46.82 tff(27615,plain,
% 73.98/46.82 (![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27614, 27610])).
% 73.98/46.82 tff(27616,plain,(
% 73.98/46.82 ![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))),
% 73.98/46.82 inference(skolemize,[status(sab)],[27615])).
% 73.98/46.82 tff(27617,plain,
% 73.98/46.82 (![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27616, 27609])).
% 73.98/46.82 tff(27618,plain,
% 73.98/46.82 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB195, bitIndex2) | v225(constB195) | (~v242(constB195)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB195, bitIndex2) | v225(constB195) | (~v242(constB195)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27619,plain,
% 73.98/46.82 ((v225(constB195) | v223(constB195, bitIndex2) | (~v242(constB195))) <=> (v223(constB195, bitIndex2) | v225(constB195) | (~v242(constB195)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27620,plain,
% 73.98/46.82 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB195) | v223(constB195, bitIndex2) | (~v242(constB195)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB195, bitIndex2) | v225(constB195) | (~v242(constB195))))),
% 73.98/46.82 inference(monotonicity,[status(thm)],[27619])).
% 73.98/46.82 tff(27621,plain,
% 73.98/46.82 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB195) | v223(constB195, bitIndex2) | (~v242(constB195)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB195, bitIndex2) | v225(constB195) | (~v242(constB195)))),
% 73.98/46.82 inference(transitivity,[status(thm)],[27620, 27618])).
% 73.98/46.82 tff(27622,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB195) | v223(constB195, bitIndex2) | (~v242(constB195)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27623,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB195, bitIndex2) | v225(constB195) | (~v242(constB195))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27622, 27621])).
% 73.98/46.82 tff(27624,plain,
% 73.98/46.82 (v225(constB195) | (~v242(constB195))),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27623, 27617, 27607])).
% 73.98/46.82 tff(27625,plain,
% 73.98/46.82 (~v242(constB195)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27624, 27584])).
% 73.98/46.82 tff(27626,plain,
% 73.98/46.82 (^[VarCurr: $i] : refl((v242(VarCurr) | (~v238(VarCurr))) <=> (v242(VarCurr) | (~v238(VarCurr))))),
% 73.98/46.82 inference(bind,[status(th)],[])).
% 73.98/46.82 tff(27627,plain,
% 73.98/46.82 (![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr))) <=> ![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))),
% 73.98/46.82 inference(quant_intro,[status(thm)],[27626])).
% 73.98/46.82 tff(27628,plain,
% 73.98/46.82 (![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr))) <=> ![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27629,axiom,(![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_65_1_2')).
% 73.98/46.82 tff(27630,plain,
% 73.98/46.82 (![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27629, 27628])).
% 73.98/46.82 tff(27631,plain,(
% 73.98/46.82 ![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))),
% 73.98/46.82 inference(skolemize,[status(sab)],[27630])).
% 73.98/46.82 tff(27632,plain,
% 73.98/46.82 (![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27631, 27627])).
% 73.98/46.82 tff(27633,plain,
% 73.98/46.82 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB195) | (~v238(constB195)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB195) | (~v238(constB195)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27634,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB195) | (~v238(constB195)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27635,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB195) | (~v238(constB195))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27634, 27633])).
% 73.98/46.82 tff(27636,plain,
% 73.98/46.82 (~v238(constB195)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27635, 27632, 27625])).
% 73.98/46.82 tff(27637,plain,
% 73.98/46.82 (^[VarCurr: $i] : refl((v238(VarCurr) | (~v237(VarCurr))) <=> (v238(VarCurr) | (~v237(VarCurr))))),
% 73.98/46.82 inference(bind,[status(th)],[])).
% 73.98/46.82 tff(27638,plain,
% 73.98/46.82 (![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr))) <=> ![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))),
% 73.98/46.82 inference(quant_intro,[status(thm)],[27637])).
% 73.98/46.82 tff(27639,plain,
% 73.98/46.82 (![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr))) <=> ![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27640,axiom,(![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_66_1_3')).
% 73.98/46.82 tff(27641,plain,
% 73.98/46.82 (![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27640, 27639])).
% 73.98/46.82 tff(27642,plain,(
% 73.98/46.82 ![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))),
% 73.98/46.82 inference(skolemize,[status(sab)],[27641])).
% 73.98/46.82 tff(27643,plain,
% 73.98/46.82 (![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27642, 27638])).
% 73.98/46.82 tff(27644,plain,
% 73.98/46.82 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB195) | (~v237(constB195)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB195) | (~v237(constB195)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27645,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB195) | (~v237(constB195)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27646,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB195) | (~v237(constB195))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27645, 27644])).
% 73.98/46.82 tff(27647,plain,
% 73.98/46.82 (~v237(constB195)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27646, 27643, 27636])).
% 73.98/46.82 tff(27648,plain,
% 73.98/46.82 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB195)) | v223(constB195, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB195)) | v223(constB195, bitIndex2))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27649,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB195)) | v223(constB195, bitIndex2))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27650,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB195)) | v223(constB195, bitIndex2)),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27649, 27648])).
% 73.98/46.82 tff(27651,plain,
% 73.98/46.82 (~v224(constB195)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27650, 6371, 27607])).
% 73.98/46.82 tff(27652,plain,
% 73.98/46.82 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB195)) | v223(constB195, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB195)) | v223(constB195, bitIndex1))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27653,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB195)) | v223(constB195, bitIndex1))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27654,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB195)) | v223(constB195, bitIndex1)),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27653, 27652])).
% 73.98/46.82 tff(27655,plain,
% 73.98/46.82 (~v222(constB195)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27654, 6315, 27573])).
% 73.98/46.82 tff(27656,plain,
% 73.98/46.82 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB195) | v224(constB195) | (~v236(constB195)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB195) | v224(constB195) | (~v236(constB195)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27657,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB195) | v224(constB195) | (~v236(constB195)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27658,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB195) | v224(constB195) | (~v236(constB195))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27657, 27656])).
% 73.98/46.82 tff(27659,plain,
% 73.98/46.82 (~v236(constB195)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27658, 6385, 27655, 27651])).
% 73.98/46.82 tff(27660,plain,
% 73.98/46.82 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB195) | (~v232(constB195)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB195) | (~v232(constB195)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27661,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB195) | (~v232(constB195)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27662,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB195) | (~v232(constB195))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27661, 27660])).
% 73.98/46.82 tff(27663,plain,
% 73.98/46.82 (~v232(constB195)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27662, 6396, 27659])).
% 73.98/46.82 tff(27664,plain,
% 73.98/46.82 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB195) | v232(constB195) | (~v248(constB195)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB195) | v232(constB195) | (~v248(constB195)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27665,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB195) | v232(constB195) | (~v248(constB195)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27666,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB195) | v232(constB195) | (~v248(constB195))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27665, 27664])).
% 73.98/46.82 tff(27667,plain,
% 73.98/46.82 (v237(constB195) | (~v248(constB195))),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27666, 6469, 27663])).
% 73.98/46.82 tff(27668,plain,
% 73.98/46.82 (~v248(constB195)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27667, 27647])).
% 73.98/46.82 tff(27669,plain,
% 73.98/46.82 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB195) | (~v244(constB195)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB195) | (~v244(constB195)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27670,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB195) | (~v244(constB195)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27671,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB195) | (~v244(constB195))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27670, 27669])).
% 73.98/46.82 tff(27672,plain,
% 73.98/46.82 (~v244(constB195)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27671, 6484, 27668])).
% 73.98/46.82 tff(27673,plain,
% 73.98/46.82 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB195) | (~v216(constB195, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB195) | (~v216(constB195, bitIndex1)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27674,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB195) | (~v216(constB195, bitIndex1)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27675,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB195) | (~v216(constB195, bitIndex1))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27674, 27673])).
% 73.98/46.82 tff(27676,plain,
% 73.98/46.82 (~v216(constB195, bitIndex1)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27675, 6495, 27672])).
% 73.98/46.82 tff(27677,plain,
% 73.98/46.82 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB195, bitIndex1) | (~v254(constB195)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB195, bitIndex1) | (~v254(constB195)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27678,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB195, bitIndex1) | (~v254(constB195)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27679,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB195, bitIndex1) | (~v254(constB195))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27678, 27677])).
% 73.98/46.82 tff(27680,plain,
% 73.98/46.82 (~v254(constB195)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27679, 6506, 27676])).
% 73.98/46.82 tff(27681,plain,
% 73.98/46.82 (^[VarCurr: $i] : refl((v232(VarCurr) | (~v231(VarCurr))) <=> (v232(VarCurr) | (~v231(VarCurr))))),
% 73.98/46.82 inference(bind,[status(th)],[])).
% 73.98/46.82 tff(27682,plain,
% 73.98/46.82 (![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr))) <=> ![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))),
% 73.98/46.82 inference(quant_intro,[status(thm)],[27681])).
% 73.98/46.82 tff(27683,plain,
% 73.98/46.82 (![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr))) <=> ![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27684,axiom,(![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_67_1_3')).
% 73.98/46.82 tff(27685,plain,
% 73.98/46.82 (![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27684, 27683])).
% 73.98/46.82 tff(27686,plain,(
% 73.98/46.82 ![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))),
% 73.98/46.82 inference(skolemize,[status(sab)],[27685])).
% 73.98/46.82 tff(27687,plain,
% 73.98/46.82 (![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27686, 27682])).
% 73.98/46.82 tff(27688,plain,
% 73.98/46.82 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB195) | (~v231(constB195)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB195) | (~v231(constB195)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27689,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB195) | (~v231(constB195)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27690,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB195) | (~v231(constB195))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27689, 27688])).
% 73.98/46.82 tff(27691,plain,
% 73.98/46.82 (~v231(constB195)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27690, 27687, 27663])).
% 73.98/46.82 tff(27692,plain,
% 73.98/46.82 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB195) | (~v221(constB195)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB195) | (~v221(constB195)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27693,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB195) | (~v221(constB195)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27694,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB195) | (~v221(constB195))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27693, 27692])).
% 73.98/46.82 tff(27695,plain,
% 73.98/46.82 (~v221(constB195)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27694, 21170, 27655])).
% 73.98/46.82 tff(27696,plain,
% 73.98/46.82 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB195) | v231(constB195) | (~v243(constB195)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB195) | v231(constB195) | (~v243(constB195)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27697,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB195) | v231(constB195) | (~v243(constB195)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27698,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB195) | v231(constB195) | (~v243(constB195))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27697, 27696])).
% 73.98/46.82 tff(27699,plain,
% 73.98/46.82 (v231(constB195) | (~v243(constB195))),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27698, 6542, 27695])).
% 73.98/46.82 tff(27700,plain,
% 73.98/46.82 (~v243(constB195)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27699, 27691])).
% 73.98/46.82 tff(27701,plain,
% 73.98/46.82 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB195) | v255(constB195))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB195) | v255(constB195))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27702,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB195) | v255(constB195))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27703,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB195) | v255(constB195)),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27702, 27701])).
% 73.98/46.82 tff(27704,plain,
% 73.98/46.82 (v255(constB195)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27703, 6553, 27700])).
% 73.98/46.82 tff(27705,plain,
% 73.98/46.82 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB195)) | (~v216(constB195, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB195)) | (~v216(constB195, bitIndex2)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27706,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB195)) | (~v216(constB195, bitIndex2)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27707,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB195)) | (~v216(constB195, bitIndex2))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27706, 27705])).
% 73.98/46.82 tff(27708,plain,
% 73.98/46.82 (~v216(constB195, bitIndex2)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27707, 6564, 27704])).
% 73.98/46.82 tff(27709,plain,
% 73.98/46.82 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB195, bitIndex2) | v254(constB195) | (~v215(constB195)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB195, bitIndex2) | v254(constB195) | (~v215(constB195)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27710,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB195, bitIndex2) | v254(constB195) | (~v215(constB195)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27711,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB195, bitIndex2) | v254(constB195) | (~v215(constB195))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27710, 27709])).
% 73.98/46.82 tff(27712,plain,
% 73.98/46.82 (v254(constB195) | (~v215(constB195))),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27711, 6578, 27708])).
% 73.98/46.82 tff(27713,plain,
% 73.98/46.82 (~v215(constB195)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27712, 27680])).
% 73.98/46.82 tff(27714,plain,
% 73.98/46.82 ($false),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27713, 21200])).
% 73.98/46.82 tff(27715,plain,(~(constB195 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.98/46.82 tff(27716,assumption,(constB155 = sK0_VarCurr), introduced(assumption)).
% 73.98/46.82 tff(27717,plain,
% 73.98/46.82 (v215(constB155) <=> v215(sK0_VarCurr)),
% 73.98/46.82 inference(monotonicity,[status(thm)],[27716])).
% 73.98/46.82 tff(27718,plain,
% 73.98/46.82 (v215(sK0_VarCurr) <=> v215(constB155)),
% 73.98/46.82 inference(symmetry,[status(thm)],[27717])).
% 73.98/46.82 tff(27719,plain,
% 73.98/46.82 (v215(constB155)),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[28, 27718])).
% 73.98/46.82 tff(27720,plain,
% 73.98/46.82 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB155, bitIndex2)) | v88(constB155, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB155, bitIndex2)) | v88(constB155, bitIndex2))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27721,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB155, bitIndex2)) | v88(constB155, bitIndex2))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27722,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB155, bitIndex2)) | v88(constB155, bitIndex2)),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27721, 27720])).
% 73.98/46.82 tff(27723,plain,
% 73.98/46.82 (v88(constB155, bitIndex2)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27722, 6015, 22870])).
% 73.98/46.82 tff(27724,plain,
% 73.98/46.82 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB155, bitIndex2)) | (~v140(constB155)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB155, bitIndex2)) | (~v140(constB155)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27725,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB155, bitIndex2)) | (~v140(constB155)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27726,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB155, bitIndex2)) | (~v140(constB155))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27725, 27724])).
% 73.98/46.82 tff(27727,plain,
% 73.98/46.82 (~v140(constB155)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27726, 6026, 27723])).
% 73.98/46.82 tff(27728,plain,
% 73.98/46.82 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB155, bitIndex0)) | v88(constB155, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB155, bitIndex0)) | v88(constB155, bitIndex0))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27729,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB155, bitIndex0)) | v88(constB155, bitIndex0))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27730,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB155, bitIndex0)) | v88(constB155, bitIndex0)),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27729, 27728])).
% 73.98/46.82 tff(27731,plain,
% 73.98/46.82 (v88(constB155, bitIndex0)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27730, 6074, 22879])).
% 73.98/46.82 tff(27732,plain,
% 73.98/46.82 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB155, bitIndex0)) | (~v139(constB155)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB155, bitIndex0)) | (~v139(constB155)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27733,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB155, bitIndex0)) | (~v139(constB155)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27734,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB155, bitIndex0)) | (~v139(constB155))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27733, 27732])).
% 73.98/46.82 tff(27735,plain,
% 73.98/46.82 (~v139(constB155)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27734, 6085, 27731])).
% 73.98/46.82 tff(27736,plain,
% 73.98/46.82 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB155) | v139(constB155) | (~v200(constB155)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB155) | v139(constB155) | (~v200(constB155)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27737,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB155) | v139(constB155) | (~v200(constB155)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27738,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB155) | v139(constB155) | (~v200(constB155))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27737, 27736])).
% 73.98/46.82 tff(27739,plain,
% 73.98/46.82 (v140(constB155) | (~v200(constB155))),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27738, 6102, 27735])).
% 73.98/46.82 tff(27740,plain,
% 73.98/46.82 (~v200(constB155)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27739, 27727])).
% 73.98/46.82 tff(27741,plain,
% 73.98/46.82 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB155, bitIndex2)) | (~v141(constB155)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB155, bitIndex2)) | (~v141(constB155)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27742,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB155, bitIndex2)) | (~v141(constB155)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27743,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB155, bitIndex2)) | (~v141(constB155))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27742, 27741])).
% 73.98/46.82 tff(27744,plain,
% 73.98/46.82 (~v141(constB155)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27743, 6116, 27723])).
% 73.98/46.82 tff(27745,plain,
% 73.98/46.82 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB155) | v200(constB155) | (~v199(constB155)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB155) | v200(constB155) | (~v199(constB155)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27746,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB155) | v200(constB155) | (~v199(constB155)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27747,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB155) | v200(constB155) | (~v199(constB155))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27746, 27745])).
% 73.98/46.82 tff(27748,plain,
% 73.98/46.82 (~v199(constB155)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27747, 6133, 27744, 27740])).
% 73.98/46.82 tff(27749,plain,
% 73.98/46.82 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB155, bitIndex0)) | (~v143(constB155)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB155, bitIndex0)) | (~v143(constB155)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27750,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB155, bitIndex0)) | (~v143(constB155)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27751,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB155, bitIndex0)) | (~v143(constB155))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27750, 27749])).
% 73.98/46.82 tff(27752,plain,
% 73.98/46.82 (~v143(constB155)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27751, 6144, 27731])).
% 73.98/46.82 tff(27753,plain,
% 73.98/46.82 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB155, bitIndex0)) | (~v144(constB155)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB155, bitIndex0)) | (~v144(constB155)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27754,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB155, bitIndex0)) | (~v144(constB155)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27755,plain,
% 73.98/46.82 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB155, bitIndex0)) | (~v144(constB155))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27754, 27753])).
% 73.98/46.82 tff(27756,plain,
% 73.98/46.82 (~v144(constB155)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27755, 6158, 27731])).
% 73.98/46.82 tff(27757,plain,
% 73.98/46.82 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB155) | v144(constB155) | (~v142(constB155)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB155) | v144(constB155) | (~v142(constB155)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27758,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB155) | v144(constB155) | (~v142(constB155)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27759,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB155) | v144(constB155) | (~v142(constB155))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27758, 27757])).
% 73.98/46.82 tff(27760,plain,
% 73.98/46.82 (~v142(constB155)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27759, 6175, 27756, 27752])).
% 73.98/46.82 tff(27761,plain,
% 73.98/46.82 (((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB155) | v199(constB155) | (~v183(constB155)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB155) | v199(constB155) | (~v183(constB155)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27762,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB155) | v199(constB155) | (~v183(constB155)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27763,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB155) | v199(constB155) | (~v183(constB155))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27762, 27761])).
% 73.98/46.82 tff(27764,plain,
% 73.98/46.82 (v199(constB155) | (~v183(constB155))),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27763, 6189, 27760])).
% 73.98/46.82 tff(27765,plain,
% 73.98/46.82 (~v183(constB155)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27764, 27748])).
% 73.98/46.82 tff(27766,plain,
% 73.98/46.82 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB155, bitIndex1) | (~v88(constB155, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB155, bitIndex1) | (~v88(constB155, bitIndex1)))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27767,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB155, bitIndex1) | (~v88(constB155, bitIndex1)))),
% 73.98/46.82 inference(quant_inst,[status(thm)],[])).
% 73.98/46.82 tff(27768,plain,
% 73.98/46.82 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB155, bitIndex1) | (~v88(constB155, bitIndex1))),
% 73.98/46.82 inference(modus_ponens,[status(thm)],[27767, 27766])).
% 73.98/46.82 tff(27769,plain,
% 73.98/46.82 (~v88(constB155, bitIndex1)),
% 73.98/46.82 inference(unit_resolution,[status(thm)],[27768, 6234, 22839])).
% 73.98/46.82 tff(27770,plain,
% 73.98/46.82 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB155, bitIndex1) | (~v88(constB155, bitIndex0)) | (~v88(constB155, bitIndex2)) | v147(constB155))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB155, bitIndex1) | (~v88(constB155, bitIndex0)) | (~v88(constB155, bitIndex2)) | v147(constB155))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27771,plain,
% 73.98/46.82 (((~v88(constB155, bitIndex2)) | v88(constB155, bitIndex1) | (~v88(constB155, bitIndex0)) | v147(constB155)) <=> (v88(constB155, bitIndex1) | (~v88(constB155, bitIndex0)) | (~v88(constB155, bitIndex2)) | v147(constB155))),
% 73.98/46.82 inference(rewrite,[status(thm)],[])).
% 73.98/46.82 tff(27772,plain,
% 73.98/46.82 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB155, bitIndex2)) | v88(constB155, bitIndex1) | (~v88(constB155, bitIndex0)) | v147(constB155))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB155, bitIndex1) | (~v88(constB155, bitIndex0)) | (~v88(constB155, bitIndex2)) | v147(constB155)))),
% 73.98/46.82 inference(monotonicity,[status(thm)],[27771])).
% 73.98/46.82 tff(27773,plain,
% 73.98/46.82 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB155, bitIndex2)) | v88(constB155, bitIndex1) | (~v88(constB155, bitIndex0)) | v147(constB155))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB155, bitIndex1) | (~v88(constB155, bitIndex0)) | (~v88(constB155, bitIndex2)) | v147(constB155))),
% 73.98/46.83 inference(transitivity,[status(thm)],[27772, 27770])).
% 73.98/46.83 tff(27774,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB155, bitIndex2)) | v88(constB155, bitIndex1) | (~v88(constB155, bitIndex0)) | v147(constB155))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27775,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB155, bitIndex1) | (~v88(constB155, bitIndex0)) | (~v88(constB155, bitIndex2)) | v147(constB155)),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27774, 27773])).
% 73.98/46.83 tff(27776,plain,
% 73.98/46.83 (v88(constB155, bitIndex1) | (~v88(constB155, bitIndex2)) | v147(constB155)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27775, 6248, 27731])).
% 73.98/46.83 tff(27777,plain,
% 73.98/46.83 (v147(constB155)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27776, 27769, 27723])).
% 73.98/46.83 tff(27778,plain,
% 73.98/46.83 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB155) | (~v147(constB155)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB155) | (~v147(constB155)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27779,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB155) | (~v147(constB155)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27780,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB155) | (~v147(constB155))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27779, 27778])).
% 73.98/46.83 tff(27781,plain,
% 73.98/46.83 (v145(constB155)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27780, 6262, 27777])).
% 73.98/46.83 tff(27782,plain,
% 73.98/46.83 (((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB155) | (~v145(constB155)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB155) | (~v145(constB155)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27783,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB155) | (~v145(constB155)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27784,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB155) | (~v145(constB155))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27783, 27782])).
% 73.98/46.83 tff(27785,plain,
% 73.98/46.83 (v197(constB155)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27784, 6273, 27781])).
% 73.98/46.83 tff(27786,plain,
% 73.98/46.83 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB155) | (~v197(constB155)) | v183(constB155))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB155) | (~v197(constB155)) | v183(constB155))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27787,plain,
% 73.98/46.83 (((~v197(constB155)) | v183(constB155) | v228(constB155)) <=> (v228(constB155) | (~v197(constB155)) | v183(constB155))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27788,plain,
% 73.98/46.83 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB155)) | v183(constB155) | v228(constB155))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB155) | (~v197(constB155)) | v183(constB155)))),
% 73.98/46.83 inference(monotonicity,[status(thm)],[27787])).
% 73.98/46.83 tff(27789,plain,
% 73.98/46.83 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB155)) | v183(constB155) | v228(constB155))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB155) | (~v197(constB155)) | v183(constB155))),
% 73.98/46.83 inference(transitivity,[status(thm)],[27788, 27786])).
% 73.98/46.83 tff(27790,plain,
% 73.98/46.83 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB155)) | v183(constB155) | v228(constB155))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27791,plain,
% 73.98/46.83 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB155) | (~v197(constB155)) | v183(constB155)),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27790, 27789])).
% 73.98/46.83 tff(27792,plain,
% 73.98/46.83 (v228(constB155)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27791, 6287, 27785, 27765])).
% 73.98/46.83 tff(27793,plain,
% 73.98/46.83 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB155)) | (~v223(constB155, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB155)) | (~v223(constB155, bitIndex1)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27794,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB155)) | (~v223(constB155, bitIndex1)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27795,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB155)) | (~v223(constB155, bitIndex1))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27794, 27793])).
% 73.98/46.83 tff(27796,plain,
% 73.98/46.83 (~v223(constB155, bitIndex1)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27795, 6301, 27792])).
% 73.98/46.83 tff(27797,plain,
% 73.98/46.83 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB155)) | v223(constB155, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB155)) | v223(constB155, bitIndex1))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27798,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB155)) | v223(constB155, bitIndex1))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27799,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB155)) | v223(constB155, bitIndex1)),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27798, 27797])).
% 73.98/46.83 tff(27800,plain,
% 73.98/46.83 (~v222(constB155)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27799, 6315, 27796])).
% 73.98/46.83 tff(27801,plain,
% 73.98/46.83 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB155) | v200(constB155) | (~v166(constB155)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB155) | v200(constB155) | (~v166(constB155)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27802,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB155) | v200(constB155) | (~v166(constB155)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27803,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB155) | v200(constB155) | (~v166(constB155))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27802, 27801])).
% 73.98/46.83 tff(27804,plain,
% 73.98/46.83 (~v166(constB155)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27803, 6329, 27744, 27740])).
% 73.98/46.83 tff(27805,plain,
% 73.98/46.83 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB155) | v166(constB155) | (~v197(constB155)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB155) | v166(constB155) | (~v197(constB155)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27806,plain,
% 73.98/46.83 (((~v197(constB155)) | v166(constB155) | v241(constB155)) <=> (v241(constB155) | v166(constB155) | (~v197(constB155)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27807,plain,
% 73.98/46.83 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB155)) | v166(constB155) | v241(constB155))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB155) | v166(constB155) | (~v197(constB155))))),
% 73.98/46.83 inference(monotonicity,[status(thm)],[27806])).
% 73.98/46.83 tff(27808,plain,
% 73.98/46.83 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB155)) | v166(constB155) | v241(constB155))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB155) | v166(constB155) | (~v197(constB155)))),
% 73.98/46.83 inference(transitivity,[status(thm)],[27807, 27805])).
% 73.98/46.83 tff(27809,plain,
% 73.98/46.83 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB155)) | v166(constB155) | v241(constB155))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27810,plain,
% 73.98/46.83 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB155) | v166(constB155) | (~v197(constB155))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27809, 27808])).
% 73.98/46.83 tff(27811,plain,
% 73.98/46.83 (v241(constB155)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27810, 6343, 27785, 27804])).
% 73.98/46.83 tff(27812,plain,
% 73.98/46.83 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB155)) | (~v223(constB155, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB155)) | (~v223(constB155, bitIndex2)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27813,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB155)) | (~v223(constB155, bitIndex2)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27814,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB155)) | (~v223(constB155, bitIndex2))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27813, 27812])).
% 73.98/46.83 tff(27815,plain,
% 73.98/46.83 (~v223(constB155, bitIndex2)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27814, 6357, 27811])).
% 73.98/46.83 tff(27816,plain,
% 73.98/46.83 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB155)) | v223(constB155, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB155)) | v223(constB155, bitIndex2))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27817,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB155)) | v223(constB155, bitIndex2))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27818,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB155)) | v223(constB155, bitIndex2)),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27817, 27816])).
% 73.98/46.83 tff(27819,plain,
% 73.98/46.83 (~v224(constB155)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27818, 6371, 27815])).
% 73.98/46.83 tff(27820,plain,
% 73.98/46.83 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB155) | v224(constB155) | (~v236(constB155)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB155) | v224(constB155) | (~v236(constB155)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27821,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB155) | v224(constB155) | (~v236(constB155)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27822,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB155) | v224(constB155) | (~v236(constB155))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27821, 27820])).
% 73.98/46.83 tff(27823,plain,
% 73.98/46.83 (~v236(constB155)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27822, 6385, 27819, 27800])).
% 73.98/46.83 tff(27824,plain,
% 73.98/46.83 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB155) | (~v232(constB155)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB155) | (~v232(constB155)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27825,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB155) | (~v232(constB155)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27826,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB155) | (~v232(constB155))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27825, 27824])).
% 73.98/46.83 tff(27827,plain,
% 73.98/46.83 (~v232(constB155)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27826, 6396, 27823])).
% 73.98/46.83 tff(27828,plain,
% 73.98/46.83 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB155) | v139(constB155) | (~v148(constB155)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB155) | v139(constB155) | (~v148(constB155)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27829,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB155) | v139(constB155) | (~v148(constB155)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27830,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB155) | v139(constB155) | (~v148(constB155))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27829, 27828])).
% 73.98/46.83 tff(27831,plain,
% 73.98/46.83 (v140(constB155) | (~v148(constB155))),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27830, 6410, 27735])).
% 73.98/46.83 tff(27832,plain,
% 73.98/46.83 (~v148(constB155)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27831, 27727])).
% 73.98/46.83 tff(27833,plain,
% 73.98/46.83 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB155) | v148(constB155) | (~v197(constB155)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB155) | v148(constB155) | (~v197(constB155)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27834,plain,
% 73.98/46.83 ((v148(constB155) | (~v197(constB155)) | v252(constB155)) <=> (v252(constB155) | v148(constB155) | (~v197(constB155)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27835,plain,
% 73.98/46.83 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB155) | (~v197(constB155)) | v252(constB155))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB155) | v148(constB155) | (~v197(constB155))))),
% 73.98/46.83 inference(monotonicity,[status(thm)],[27834])).
% 73.98/46.83 tff(27836,plain,
% 73.98/46.83 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB155) | (~v197(constB155)) | v252(constB155))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB155) | v148(constB155) | (~v197(constB155)))),
% 73.98/46.83 inference(transitivity,[status(thm)],[27835, 27833])).
% 73.98/46.83 tff(27837,plain,
% 73.98/46.83 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB155) | (~v197(constB155)) | v252(constB155))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27838,plain,
% 73.98/46.83 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB155) | v148(constB155) | (~v197(constB155))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27837, 27836])).
% 73.98/46.83 tff(27839,plain,
% 73.98/46.83 (v252(constB155)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27838, 6427, 27785, 27832])).
% 73.98/46.83 tff(27840,plain,
% 73.98/46.83 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB155)) | (~v223(constB155, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB155)) | (~v223(constB155, bitIndex3)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27841,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB155)) | (~v223(constB155, bitIndex3)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27842,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB155)) | (~v223(constB155, bitIndex3))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27841, 27840])).
% 73.98/46.83 tff(27843,plain,
% 73.98/46.83 (~v223(constB155, bitIndex3)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27842, 6441, 27839])).
% 73.98/46.83 tff(27844,plain,
% 73.98/46.83 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB155)) | v223(constB155, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB155)) | v223(constB155, bitIndex3))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27845,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB155)) | v223(constB155, bitIndex3))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27846,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB155)) | v223(constB155, bitIndex3)),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27845, 27844])).
% 73.98/46.83 tff(27847,plain,
% 73.98/46.83 (~v237(constB155)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27846, 6455, 27843])).
% 73.98/46.83 tff(27848,plain,
% 73.98/46.83 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB155) | (~v248(constB155)) | v232(constB155))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB155) | (~v248(constB155)) | v232(constB155))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27849,plain,
% 73.98/46.83 ((v237(constB155) | v232(constB155) | (~v248(constB155))) <=> (v237(constB155) | (~v248(constB155)) | v232(constB155))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27850,plain,
% 73.98/46.83 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB155) | v232(constB155) | (~v248(constB155)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB155) | (~v248(constB155)) | v232(constB155)))),
% 73.98/46.83 inference(monotonicity,[status(thm)],[27849])).
% 73.98/46.83 tff(27851,plain,
% 73.98/46.83 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB155) | v232(constB155) | (~v248(constB155)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB155) | (~v248(constB155)) | v232(constB155))),
% 73.98/46.83 inference(transitivity,[status(thm)],[27850, 27848])).
% 73.98/46.83 tff(27852,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB155) | v232(constB155) | (~v248(constB155)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27853,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB155) | (~v248(constB155)) | v232(constB155)),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27852, 27851])).
% 73.98/46.83 tff(27854,plain,
% 73.98/46.83 ((~v248(constB155)) | v232(constB155)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27853, 6469, 27847])).
% 73.98/46.83 tff(27855,plain,
% 73.98/46.83 (~v248(constB155)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27854, 27827])).
% 73.98/46.83 tff(27856,plain,
% 73.98/46.83 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB155) | (~v244(constB155)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB155) | (~v244(constB155)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27857,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB155) | (~v244(constB155)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27858,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB155) | (~v244(constB155))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27857, 27856])).
% 73.98/46.83 tff(27859,plain,
% 73.98/46.83 (~v244(constB155)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27858, 6484, 27855])).
% 73.98/46.83 tff(27860,plain,
% 73.98/46.83 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB155) | (~v216(constB155, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB155) | (~v216(constB155, bitIndex1)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27861,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB155) | (~v216(constB155, bitIndex1)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27862,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB155) | (~v216(constB155, bitIndex1))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27861, 27860])).
% 73.98/46.83 tff(27863,plain,
% 73.98/46.83 (~v216(constB155, bitIndex1)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27862, 6495, 27859])).
% 73.98/46.83 tff(27864,plain,
% 73.98/46.83 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB155, bitIndex1) | (~v254(constB155)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB155, bitIndex1) | (~v254(constB155)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27865,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB155, bitIndex1) | (~v254(constB155)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27866,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB155, bitIndex1) | (~v254(constB155))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27865, 27864])).
% 73.98/46.83 tff(27867,plain,
% 73.98/46.83 (~v254(constB155)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27866, 6506, 27863])).
% 73.98/46.83 tff(27868,plain,
% 73.98/46.83 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB155) | (~v221(constB155)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB155) | (~v221(constB155)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27869,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB155) | (~v221(constB155)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27870,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB155) | (~v221(constB155))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27869, 27868])).
% 73.98/46.83 tff(27871,plain,
% 73.98/46.83 (~v221(constB155)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27870, 6517, 27819])).
% 73.98/46.83 tff(27872,plain,
% 73.98/46.83 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB155) | (~v231(constB155)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB155) | (~v231(constB155)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27873,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB155) | (~v231(constB155)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27874,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB155) | (~v231(constB155))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27873, 27872])).
% 73.98/46.83 tff(27875,plain,
% 73.98/46.83 (~v231(constB155)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27874, 6528, 27847])).
% 73.98/46.83 tff(27876,plain,
% 73.98/46.83 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB155) | v231(constB155) | (~v243(constB155)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB155) | v231(constB155) | (~v243(constB155)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27877,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB155) | v231(constB155) | (~v243(constB155)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27878,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB155) | v231(constB155) | (~v243(constB155))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27877, 27876])).
% 73.98/46.83 tff(27879,plain,
% 73.98/46.83 (v221(constB155) | (~v243(constB155))),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27878, 6542, 27875])).
% 73.98/46.83 tff(27880,plain,
% 73.98/46.83 (~v243(constB155)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27879, 27871])).
% 73.98/46.83 tff(27881,plain,
% 73.98/46.83 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB155) | v255(constB155))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB155) | v255(constB155))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27882,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB155) | v255(constB155))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27883,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB155) | v255(constB155)),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27882, 27881])).
% 73.98/46.83 tff(27884,plain,
% 73.98/46.83 (v255(constB155)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27883, 6553, 27880])).
% 73.98/46.83 tff(27885,plain,
% 73.98/46.83 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB155)) | (~v216(constB155, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB155)) | (~v216(constB155, bitIndex2)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27886,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB155)) | (~v216(constB155, bitIndex2)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27887,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB155)) | (~v216(constB155, bitIndex2))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27886, 27885])).
% 73.98/46.83 tff(27888,plain,
% 73.98/46.83 (~v216(constB155, bitIndex2)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27887, 6564, 27884])).
% 73.98/46.83 tff(27889,plain,
% 73.98/46.83 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB155, bitIndex2) | v254(constB155) | (~v215(constB155)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB155, bitIndex2) | v254(constB155) | (~v215(constB155)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27890,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB155, bitIndex2) | v254(constB155) | (~v215(constB155)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27891,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB155, bitIndex2) | v254(constB155) | (~v215(constB155))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27890, 27889])).
% 73.98/46.83 tff(27892,plain,
% 73.98/46.83 (v254(constB155) | (~v215(constB155))),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27891, 6578, 27888])).
% 73.98/46.83 tff(27893,plain,
% 73.98/46.83 (~v215(constB155)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27892, 27867])).
% 73.98/46.83 tff(27894,plain,
% 73.98/46.83 ($false),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27893, 27719])).
% 73.98/46.83 tff(27895,plain,(~(constB155 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.98/46.83 tff(27896,assumption,(constB131 = sK0_VarCurr), introduced(assumption)).
% 73.98/46.83 tff(27897,plain,
% 73.98/46.83 (v215(constB131) <=> v215(sK0_VarCurr)),
% 73.98/46.83 inference(monotonicity,[status(thm)],[27896])).
% 73.98/46.83 tff(27898,plain,
% 73.98/46.83 (v215(sK0_VarCurr) <=> v215(constB131)),
% 73.98/46.83 inference(symmetry,[status(thm)],[27897])).
% 73.98/46.83 tff(27899,plain,
% 73.98/46.83 (v215(constB131)),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[28, 27898])).
% 73.98/46.83 tff(27900,plain,
% 73.98/46.83 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB131, bitIndex2)) | v88(constB131, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB131, bitIndex2)) | v88(constB131, bitIndex2))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27901,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB131, bitIndex2)) | v88(constB131, bitIndex2))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27902,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB131, bitIndex2)) | v88(constB131, bitIndex2)),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27901, 27900])).
% 73.98/46.83 tff(27903,plain,
% 73.98/46.83 (v88(constB131, bitIndex2)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27902, 6015, 19195])).
% 73.98/46.83 tff(27904,plain,
% 73.98/46.83 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB131, bitIndex2)) | (~v140(constB131)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB131, bitIndex2)) | (~v140(constB131)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27905,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB131, bitIndex2)) | (~v140(constB131)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27906,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB131, bitIndex2)) | (~v140(constB131))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27905, 27904])).
% 73.98/46.83 tff(27907,plain,
% 73.98/46.83 (~v140(constB131)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27906, 6026, 27903])).
% 73.98/46.83 tff(27908,plain,
% 73.98/46.83 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB131, bitIndex0)) | v88(constB131, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB131, bitIndex0)) | v88(constB131, bitIndex0))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27909,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB131, bitIndex0)) | v88(constB131, bitIndex0))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27910,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB131, bitIndex0)) | v88(constB131, bitIndex0)),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27909, 27908])).
% 73.98/46.83 tff(27911,plain,
% 73.98/46.83 (v88(constB131, bitIndex0)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27910, 6074, 19260])).
% 73.98/46.83 tff(27912,plain,
% 73.98/46.83 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB131, bitIndex0)) | (~v139(constB131)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB131, bitIndex0)) | (~v139(constB131)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27913,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB131, bitIndex0)) | (~v139(constB131)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27914,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB131, bitIndex0)) | (~v139(constB131))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27913, 27912])).
% 73.98/46.83 tff(27915,plain,
% 73.98/46.83 (~v139(constB131)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27914, 6085, 27911])).
% 73.98/46.83 tff(27916,plain,
% 73.98/46.83 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB131) | v139(constB131) | (~v200(constB131)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB131) | v139(constB131) | (~v200(constB131)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27917,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB131) | v139(constB131) | (~v200(constB131)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27918,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB131) | v139(constB131) | (~v200(constB131))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27917, 27916])).
% 73.98/46.83 tff(27919,plain,
% 73.98/46.83 (~v200(constB131)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27918, 6102, 27915, 27907])).
% 73.98/46.83 tff(27920,plain,
% 73.98/46.83 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB131)) | (~v88(constB131, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB131)) | (~v88(constB131, bitIndex2)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27921,plain,
% 73.98/46.83 (((~v88(constB131, bitIndex2)) | (~v141(constB131))) <=> ((~v141(constB131)) | (~v88(constB131, bitIndex2)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27922,plain,
% 73.98/46.83 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB131, bitIndex2)) | (~v141(constB131)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB131)) | (~v88(constB131, bitIndex2))))),
% 73.98/46.83 inference(monotonicity,[status(thm)],[27921])).
% 73.98/46.83 tff(27923,plain,
% 73.98/46.83 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB131, bitIndex2)) | (~v141(constB131)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB131)) | (~v88(constB131, bitIndex2)))),
% 73.98/46.83 inference(transitivity,[status(thm)],[27922, 27920])).
% 73.98/46.83 tff(27924,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB131, bitIndex2)) | (~v141(constB131)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27925,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB131)) | (~v88(constB131, bitIndex2))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27924, 27923])).
% 73.98/46.83 tff(27926,plain,
% 73.98/46.83 (~v141(constB131)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27925, 6116, 27903])).
% 73.98/46.83 tff(27927,plain,
% 73.98/46.83 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB131) | v200(constB131) | (~v199(constB131)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB131) | v200(constB131) | (~v199(constB131)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27928,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB131) | v200(constB131) | (~v199(constB131)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27929,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB131) | v200(constB131) | (~v199(constB131))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27928, 27927])).
% 73.98/46.83 tff(27930,plain,
% 73.98/46.83 (~v199(constB131)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27929, 6133, 27926, 27919])).
% 73.98/46.83 tff(27931,plain,
% 73.98/46.83 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v143(constB131)) | (~v88(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v143(constB131)) | (~v88(constB131, bitIndex0)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27932,plain,
% 73.98/46.83 (((~v88(constB131, bitIndex0)) | (~v143(constB131))) <=> ((~v143(constB131)) | (~v88(constB131, bitIndex0)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27933,plain,
% 73.98/46.83 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB131, bitIndex0)) | (~v143(constB131)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v143(constB131)) | (~v88(constB131, bitIndex0))))),
% 73.98/46.83 inference(monotonicity,[status(thm)],[27932])).
% 73.98/46.83 tff(27934,plain,
% 73.98/46.83 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB131, bitIndex0)) | (~v143(constB131)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v143(constB131)) | (~v88(constB131, bitIndex0)))),
% 73.98/46.83 inference(transitivity,[status(thm)],[27933, 27931])).
% 73.98/46.83 tff(27935,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB131, bitIndex0)) | (~v143(constB131)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27936,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v143(constB131)) | (~v88(constB131, bitIndex0))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27935, 27934])).
% 73.98/46.83 tff(27937,plain,
% 73.98/46.83 (~v143(constB131)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27936, 6144, 27911])).
% 73.98/46.83 tff(27938,plain,
% 73.98/46.83 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v144(constB131)) | (~v88(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v144(constB131)) | (~v88(constB131, bitIndex0)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27939,plain,
% 73.98/46.83 (((~v88(constB131, bitIndex0)) | (~v144(constB131))) <=> ((~v144(constB131)) | (~v88(constB131, bitIndex0)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27940,plain,
% 73.98/46.83 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB131, bitIndex0)) | (~v144(constB131)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v144(constB131)) | (~v88(constB131, bitIndex0))))),
% 73.98/46.83 inference(monotonicity,[status(thm)],[27939])).
% 73.98/46.83 tff(27941,plain,
% 73.98/46.83 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB131, bitIndex0)) | (~v144(constB131)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v144(constB131)) | (~v88(constB131, bitIndex0)))),
% 73.98/46.83 inference(transitivity,[status(thm)],[27940, 27938])).
% 73.98/46.83 tff(27942,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB131, bitIndex0)) | (~v144(constB131)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27943,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v144(constB131)) | (~v88(constB131, bitIndex0))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27942, 27941])).
% 73.98/46.83 tff(27944,plain,
% 73.98/46.83 (~v144(constB131)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27943, 6158, 27911])).
% 73.98/46.83 tff(27945,plain,
% 73.98/46.83 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB131) | v144(constB131) | (~v142(constB131)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB131) | v144(constB131) | (~v142(constB131)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27946,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB131) | v144(constB131) | (~v142(constB131)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27947,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB131) | v144(constB131) | (~v142(constB131))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27946, 27945])).
% 73.98/46.83 tff(27948,plain,
% 73.98/46.83 (~v142(constB131)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27947, 6175, 27944, 27937])).
% 73.98/46.83 tff(27949,plain,
% 73.98/46.83 (((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB131) | v199(constB131) | (~v183(constB131)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB131) | v199(constB131) | (~v183(constB131)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27950,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB131) | v199(constB131) | (~v183(constB131)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27951,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB131) | v199(constB131) | (~v183(constB131))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27950, 27949])).
% 73.98/46.83 tff(27952,plain,
% 73.98/46.83 (~v183(constB131)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27951, 6189, 27948, 27930])).
% 73.98/46.83 tff(27953,plain,
% 73.98/46.83 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB131, bitIndex1) | (~v88(constB131, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB131, bitIndex1) | (~v88(constB131, bitIndex1)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27954,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB131, bitIndex1) | (~v88(constB131, bitIndex1)))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27955,plain,
% 73.98/46.83 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB131, bitIndex1) | (~v88(constB131, bitIndex1))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27954, 27953])).
% 73.98/46.83 tff(27956,plain,
% 73.98/46.83 (~v88(constB131, bitIndex1)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27955, 6234, 19229])).
% 73.98/46.83 tff(27957,plain,
% 73.98/46.83 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB131, bitIndex1) | v147(constB131) | (~v88(constB131, bitIndex2)) | (~v88(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB131, bitIndex1) | v147(constB131) | (~v88(constB131, bitIndex2)) | (~v88(constB131, bitIndex0)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27958,plain,
% 73.98/46.83 (((~v88(constB131, bitIndex2)) | v88(constB131, bitIndex1) | (~v88(constB131, bitIndex0)) | v147(constB131)) <=> (v88(constB131, bitIndex1) | v147(constB131) | (~v88(constB131, bitIndex2)) | (~v88(constB131, bitIndex0)))),
% 73.98/46.83 inference(rewrite,[status(thm)],[])).
% 73.98/46.83 tff(27959,plain,
% 73.98/46.83 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB131, bitIndex2)) | v88(constB131, bitIndex1) | (~v88(constB131, bitIndex0)) | v147(constB131))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB131, bitIndex1) | v147(constB131) | (~v88(constB131, bitIndex2)) | (~v88(constB131, bitIndex0))))),
% 73.98/46.83 inference(monotonicity,[status(thm)],[27958])).
% 73.98/46.83 tff(27960,plain,
% 73.98/46.83 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB131, bitIndex2)) | v88(constB131, bitIndex1) | (~v88(constB131, bitIndex0)) | v147(constB131))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB131, bitIndex1) | v147(constB131) | (~v88(constB131, bitIndex2)) | (~v88(constB131, bitIndex0)))),
% 73.98/46.83 inference(transitivity,[status(thm)],[27959, 27957])).
% 73.98/46.83 tff(27961,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB131, bitIndex2)) | v88(constB131, bitIndex1) | (~v88(constB131, bitIndex0)) | v147(constB131))),
% 73.98/46.83 inference(quant_inst,[status(thm)],[])).
% 73.98/46.83 tff(27962,plain,
% 73.98/46.83 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB131, bitIndex1) | v147(constB131) | (~v88(constB131, bitIndex2)) | (~v88(constB131, bitIndex0))),
% 73.98/46.83 inference(modus_ponens,[status(thm)],[27961, 27960])).
% 73.98/46.83 tff(27963,plain,
% 73.98/46.83 (v147(constB131)),
% 73.98/46.83 inference(unit_resolution,[status(thm)],[27962, 6248, 27911, 27903, 27956])).
% 73.98/46.84 tff(27964,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB131) | (~v147(constB131)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB131) | (~v147(constB131)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(27965,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB131) | (~v147(constB131)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(27966,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB131) | (~v147(constB131))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[27965, 27964])).
% 73.98/46.84 tff(27967,plain,
% 73.98/46.84 (v145(constB131)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[27966, 6262, 27963])).
% 73.98/46.84 tff(27968,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB131) | (~v145(constB131)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB131) | (~v145(constB131)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(27969,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB131) | (~v145(constB131)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(27970,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB131) | (~v145(constB131))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[27969, 27968])).
% 73.98/46.84 tff(27971,plain,
% 73.98/46.84 (v197(constB131)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[27970, 6273, 27967])).
% 73.98/46.84 tff(27972,plain,
% 73.98/46.84 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB131) | (~v197(constB131)) | v183(constB131))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB131) | (~v197(constB131)) | v183(constB131))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(27973,plain,
% 73.98/46.84 (((~v197(constB131)) | v183(constB131) | v228(constB131)) <=> (v228(constB131) | (~v197(constB131)) | v183(constB131))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(27974,plain,
% 73.98/46.84 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB131)) | v183(constB131) | v228(constB131))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB131) | (~v197(constB131)) | v183(constB131)))),
% 73.98/46.84 inference(monotonicity,[status(thm)],[27973])).
% 73.98/46.84 tff(27975,plain,
% 73.98/46.84 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB131)) | v183(constB131) | v228(constB131))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB131) | (~v197(constB131)) | v183(constB131))),
% 73.98/46.84 inference(transitivity,[status(thm)],[27974, 27972])).
% 73.98/46.84 tff(27976,plain,
% 73.98/46.84 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB131)) | v183(constB131) | v228(constB131))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(27977,plain,
% 73.98/46.84 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB131) | (~v197(constB131)) | v183(constB131)),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[27976, 27975])).
% 73.98/46.84 tff(27978,plain,
% 73.98/46.84 (v228(constB131)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[27977, 6287, 27971, 27952])).
% 73.98/46.84 tff(27979,plain,
% 73.98/46.84 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB131)) | (~v223(constB131, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB131)) | (~v223(constB131, bitIndex1)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(27980,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB131)) | (~v223(constB131, bitIndex1)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(27981,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB131)) | (~v223(constB131, bitIndex1))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[27980, 27979])).
% 73.98/46.84 tff(27982,plain,
% 73.98/46.84 (~v223(constB131, bitIndex1)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[27981, 6301, 27978])).
% 73.98/46.84 tff(27983,plain,
% 73.98/46.84 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB131)) | v223(constB131, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB131)) | v223(constB131, bitIndex1))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(27984,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB131)) | v223(constB131, bitIndex1))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(27985,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB131)) | v223(constB131, bitIndex1)),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[27984, 27983])).
% 73.98/46.84 tff(27986,plain,
% 73.98/46.84 (~v222(constB131)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[27985, 6315, 27982])).
% 73.98/46.84 tff(27987,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB131) | v200(constB131) | (~v166(constB131)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB131) | v200(constB131) | (~v166(constB131)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(27988,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB131) | v200(constB131) | (~v166(constB131)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(27989,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB131) | v200(constB131) | (~v166(constB131))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[27988, 27987])).
% 73.98/46.84 tff(27990,plain,
% 73.98/46.84 (~v166(constB131)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[27989, 6329, 27926, 27919])).
% 73.98/46.84 tff(27991,plain,
% 73.98/46.84 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB131) | (~v197(constB131)) | v166(constB131))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB131) | (~v197(constB131)) | v166(constB131))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(27992,plain,
% 73.98/46.84 (((~v197(constB131)) | v166(constB131) | v241(constB131)) <=> (v241(constB131) | (~v197(constB131)) | v166(constB131))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(27993,plain,
% 73.98/46.84 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB131)) | v166(constB131) | v241(constB131))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB131) | (~v197(constB131)) | v166(constB131)))),
% 73.98/46.84 inference(monotonicity,[status(thm)],[27992])).
% 73.98/46.84 tff(27994,plain,
% 73.98/46.84 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB131)) | v166(constB131) | v241(constB131))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB131) | (~v197(constB131)) | v166(constB131))),
% 73.98/46.84 inference(transitivity,[status(thm)],[27993, 27991])).
% 73.98/46.84 tff(27995,plain,
% 73.98/46.84 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB131)) | v166(constB131) | v241(constB131))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(27996,plain,
% 73.98/46.84 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB131) | (~v197(constB131)) | v166(constB131)),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[27995, 27994])).
% 73.98/46.84 tff(27997,plain,
% 73.98/46.84 (v241(constB131)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[27996, 6343, 27971, 27990])).
% 73.98/46.84 tff(27998,plain,
% 73.98/46.84 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB131)) | (~v223(constB131, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB131)) | (~v223(constB131, bitIndex2)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(27999,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB131)) | (~v223(constB131, bitIndex2)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28000,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB131)) | (~v223(constB131, bitIndex2))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[27999, 27998])).
% 73.98/46.84 tff(28001,plain,
% 73.98/46.84 (~v223(constB131, bitIndex2)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28000, 6357, 27997])).
% 73.98/46.84 tff(28002,plain,
% 73.98/46.84 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB131)) | v223(constB131, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB131)) | v223(constB131, bitIndex2))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28003,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB131)) | v223(constB131, bitIndex2))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28004,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB131)) | v223(constB131, bitIndex2)),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28003, 28002])).
% 73.98/46.84 tff(28005,plain,
% 73.98/46.84 (~v224(constB131)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28004, 6371, 28001])).
% 73.98/46.84 tff(28006,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB131) | v224(constB131) | (~v236(constB131)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB131) | v224(constB131) | (~v236(constB131)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28007,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB131) | v224(constB131) | (~v236(constB131)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28008,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB131) | v224(constB131) | (~v236(constB131))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28007, 28006])).
% 73.98/46.84 tff(28009,plain,
% 73.98/46.84 (~v236(constB131)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28008, 6385, 28005, 27986])).
% 73.98/46.84 tff(28010,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB131) | (~v232(constB131)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB131) | (~v232(constB131)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28011,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB131) | (~v232(constB131)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28012,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB131) | (~v232(constB131))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28011, 28010])).
% 73.98/46.84 tff(28013,plain,
% 73.98/46.84 (~v232(constB131)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28012, 6396, 28009])).
% 73.98/46.84 tff(28014,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB131) | v139(constB131) | (~v148(constB131)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB131) | v139(constB131) | (~v148(constB131)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28015,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB131) | v139(constB131) | (~v148(constB131)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28016,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB131) | v139(constB131) | (~v148(constB131))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28015, 28014])).
% 73.98/46.84 tff(28017,plain,
% 73.98/46.84 (~v148(constB131)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28016, 6410, 27915, 27907])).
% 73.98/46.84 tff(28018,plain,
% 73.98/46.84 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB131) | (~v197(constB131)) | v148(constB131))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB131) | (~v197(constB131)) | v148(constB131))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28019,plain,
% 73.98/46.84 ((v148(constB131) | (~v197(constB131)) | v252(constB131)) <=> (v252(constB131) | (~v197(constB131)) | v148(constB131))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28020,plain,
% 73.98/46.84 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB131) | (~v197(constB131)) | v252(constB131))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB131) | (~v197(constB131)) | v148(constB131)))),
% 73.98/46.84 inference(monotonicity,[status(thm)],[28019])).
% 73.98/46.84 tff(28021,plain,
% 73.98/46.84 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB131) | (~v197(constB131)) | v252(constB131))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB131) | (~v197(constB131)) | v148(constB131))),
% 73.98/46.84 inference(transitivity,[status(thm)],[28020, 28018])).
% 73.98/46.84 tff(28022,plain,
% 73.98/46.84 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB131) | (~v197(constB131)) | v252(constB131))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28023,plain,
% 73.98/46.84 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB131) | (~v197(constB131)) | v148(constB131)),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28022, 28021])).
% 73.98/46.84 tff(28024,plain,
% 73.98/46.84 (v252(constB131)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28023, 6427, 27971, 28017])).
% 73.98/46.84 tff(28025,plain,
% 73.98/46.84 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB131)) | (~v223(constB131, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB131)) | (~v223(constB131, bitIndex3)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28026,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB131)) | (~v223(constB131, bitIndex3)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28027,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB131)) | (~v223(constB131, bitIndex3))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28026, 28025])).
% 73.98/46.84 tff(28028,plain,
% 73.98/46.84 (~v223(constB131, bitIndex3)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28027, 6441, 28024])).
% 73.98/46.84 tff(28029,plain,
% 73.98/46.84 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB131)) | v223(constB131, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB131)) | v223(constB131, bitIndex3))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28030,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB131)) | v223(constB131, bitIndex3))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28031,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB131)) | v223(constB131, bitIndex3)),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28030, 28029])).
% 73.98/46.84 tff(28032,plain,
% 73.98/46.84 (~v237(constB131)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28031, 6455, 28028])).
% 73.98/46.84 tff(28033,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | ((~v248(constB131)) | v237(constB131) | v232(constB131))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (~v248(constB131)) | v237(constB131) | v232(constB131))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28034,plain,
% 73.98/46.84 ((v237(constB131) | v232(constB131) | (~v248(constB131))) <=> ((~v248(constB131)) | v237(constB131) | v232(constB131))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28035,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB131) | v232(constB131) | (~v248(constB131)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | ((~v248(constB131)) | v237(constB131) | v232(constB131)))),
% 73.98/46.84 inference(monotonicity,[status(thm)],[28034])).
% 73.98/46.84 tff(28036,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB131) | v232(constB131) | (~v248(constB131)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (~v248(constB131)) | v237(constB131) | v232(constB131))),
% 73.98/46.84 inference(transitivity,[status(thm)],[28035, 28033])).
% 73.98/46.84 tff(28037,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB131) | v232(constB131) | (~v248(constB131)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28038,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (~v248(constB131)) | v237(constB131) | v232(constB131)),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28037, 28036])).
% 73.98/46.84 tff(28039,plain,
% 73.98/46.84 ((~v248(constB131)) | v232(constB131)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28038, 6469, 28032])).
% 73.98/46.84 tff(28040,plain,
% 73.98/46.84 (~v248(constB131)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28039, 28013])).
% 73.98/46.84 tff(28041,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB131) | (~v244(constB131)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB131) | (~v244(constB131)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28042,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB131) | (~v244(constB131)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28043,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB131) | (~v244(constB131))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28042, 28041])).
% 73.98/46.84 tff(28044,plain,
% 73.98/46.84 (~v244(constB131)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28043, 6484, 28040])).
% 73.98/46.84 tff(28045,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB131) | (~v216(constB131, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB131) | (~v216(constB131, bitIndex1)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28046,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB131) | (~v216(constB131, bitIndex1)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28047,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB131) | (~v216(constB131, bitIndex1))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28046, 28045])).
% 73.98/46.84 tff(28048,plain,
% 73.98/46.84 (~v216(constB131, bitIndex1)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28047, 6495, 28044])).
% 73.98/46.84 tff(28049,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB131, bitIndex1) | (~v254(constB131)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB131, bitIndex1) | (~v254(constB131)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28050,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB131, bitIndex1) | (~v254(constB131)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28051,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB131, bitIndex1) | (~v254(constB131))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28050, 28049])).
% 73.98/46.84 tff(28052,plain,
% 73.98/46.84 (~v254(constB131)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28051, 6506, 28048])).
% 73.98/46.84 tff(28053,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB131) | (~v221(constB131)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB131) | (~v221(constB131)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28054,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB131) | (~v221(constB131)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28055,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB131) | (~v221(constB131))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28054, 28053])).
% 73.98/46.84 tff(28056,plain,
% 73.98/46.84 (~v221(constB131)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28055, 6517, 28005])).
% 73.98/46.84 tff(28057,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB131) | (~v231(constB131)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB131) | (~v231(constB131)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28058,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB131) | (~v231(constB131)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28059,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB131) | (~v231(constB131))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28058, 28057])).
% 73.98/46.84 tff(28060,plain,
% 73.98/46.84 (~v231(constB131)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28059, 6528, 28032])).
% 73.98/46.84 tff(28061,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB131) | v231(constB131) | (~v243(constB131)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB131) | v231(constB131) | (~v243(constB131)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28062,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB131) | v231(constB131) | (~v243(constB131)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28063,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB131) | v231(constB131) | (~v243(constB131))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28062, 28061])).
% 73.98/46.84 tff(28064,plain,
% 73.98/46.84 (~v243(constB131)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28063, 6542, 28060, 28056])).
% 73.98/46.84 tff(28065,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB131) | v255(constB131))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB131) | v255(constB131))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28066,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB131) | v255(constB131))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28067,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB131) | v255(constB131)),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28066, 28065])).
% 73.98/46.84 tff(28068,plain,
% 73.98/46.84 (v255(constB131)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28067, 6553, 28064])).
% 73.98/46.84 tff(28069,plain,
% 73.98/46.84 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB131)) | (~v216(constB131, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB131)) | (~v216(constB131, bitIndex2)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28070,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB131)) | (~v216(constB131, bitIndex2)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28071,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB131)) | (~v216(constB131, bitIndex2))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28070, 28069])).
% 73.98/46.84 tff(28072,plain,
% 73.98/46.84 (~v216(constB131, bitIndex2)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28071, 6564, 28068])).
% 73.98/46.84 tff(28073,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB131)) | v254(constB131) | v216(constB131, bitIndex2))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB131)) | v254(constB131) | v216(constB131, bitIndex2))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28074,plain,
% 73.98/46.84 ((v216(constB131, bitIndex2) | v254(constB131) | (~v215(constB131))) <=> ((~v215(constB131)) | v254(constB131) | v216(constB131, bitIndex2))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28075,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB131, bitIndex2) | v254(constB131) | (~v215(constB131)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB131)) | v254(constB131) | v216(constB131, bitIndex2)))),
% 73.98/46.84 inference(monotonicity,[status(thm)],[28074])).
% 73.98/46.84 tff(28076,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB131, bitIndex2) | v254(constB131) | (~v215(constB131)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB131)) | v254(constB131) | v216(constB131, bitIndex2))),
% 73.98/46.84 inference(transitivity,[status(thm)],[28075, 28073])).
% 73.98/46.84 tff(28077,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB131, bitIndex2) | v254(constB131) | (~v215(constB131)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28078,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB131)) | v254(constB131) | v216(constB131, bitIndex2)),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28077, 28076])).
% 73.98/46.84 tff(28079,plain,
% 73.98/46.84 ((~v215(constB131)) | v254(constB131)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28078, 6578, 28072])).
% 73.98/46.84 tff(28080,plain,
% 73.98/46.84 (~v215(constB131)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28079, 28052])).
% 73.98/46.84 tff(28081,plain,
% 73.98/46.84 ($false),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28080, 27899])).
% 73.98/46.84 tff(28082,plain,(~(constB131 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.98/46.84 tff(28083,assumption,(constB171 = sK0_VarCurr), introduced(assumption)).
% 73.98/46.84 tff(28084,plain,
% 73.98/46.84 (v215(constB171) <=> v215(sK0_VarCurr)),
% 73.98/46.84 inference(monotonicity,[status(thm)],[28083])).
% 73.98/46.84 tff(28085,plain,
% 73.98/46.84 (v215(sK0_VarCurr) <=> v215(constB171)),
% 73.98/46.84 inference(symmetry,[status(thm)],[28084])).
% 73.98/46.84 tff(28086,plain,
% 73.98/46.84 (v215(constB171)),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28, 28085])).
% 73.98/46.84 tff(28087,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB171, bitIndex1) | (~v88(constB171, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB171, bitIndex1) | (~v88(constB171, bitIndex1)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28088,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB171, bitIndex1) | (~v88(constB171, bitIndex1)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28089,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB171, bitIndex1) | (~v88(constB171, bitIndex1))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28088, 28087])).
% 73.98/46.84 tff(28090,plain,
% 73.98/46.84 (~v88(constB171, bitIndex1)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28089, 6234, 24996])).
% 73.98/46.84 tff(28091,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB171, bitIndex2) | (~v88(constB171, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB171, bitIndex2) | (~v88(constB171, bitIndex2)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28092,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB171, bitIndex2) | (~v88(constB171, bitIndex2)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28093,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB171, bitIndex2) | (~v88(constB171, bitIndex2))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28092, 28091])).
% 73.98/46.84 tff(28094,plain,
% 73.98/46.84 (~v88(constB171, bitIndex2)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28093, 20913, 24577])).
% 73.98/46.84 tff(28095,plain,
% 73.98/46.84 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB171, bitIndex0)) | v88(constB171, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB171, bitIndex0)) | v88(constB171, bitIndex0))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28096,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB171, bitIndex0)) | v88(constB171, bitIndex0))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28097,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB171, bitIndex0)) | v88(constB171, bitIndex0)),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28096, 28095])).
% 73.98/46.84 tff(28098,plain,
% 73.98/46.84 (v88(constB171, bitIndex0)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28097, 6074, 25280])).
% 73.98/46.84 tff(28099,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB171, bitIndex2) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0)) | v140(constB171))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB171, bitIndex2) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0)) | v140(constB171))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28100,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB171, bitIndex2) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0)) | v140(constB171))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28101,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB171, bitIndex2) | v88(constB171, bitIndex1) | (~v88(constB171, bitIndex0)) | v140(constB171)),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28100, 28099])).
% 73.98/46.84 tff(28102,plain,
% 73.98/46.84 (v140(constB171)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28101, 27506, 28098, 28094, 28090])).
% 73.98/46.84 tff(28103,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB171) | (~v140(constB171)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB171) | (~v140(constB171)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28104,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB171) | (~v140(constB171)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28105,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB171) | (~v140(constB171))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28104, 28103])).
% 73.98/46.84 tff(28106,plain,
% 73.98/46.84 (v200(constB171)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28105, 27520, 28102])).
% 73.98/46.84 tff(28107,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB171) | (~v200(constB171)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB171) | (~v200(constB171)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28108,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB171) | (~v200(constB171)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28109,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB171) | (~v200(constB171))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28108, 28107])).
% 73.98/46.84 tff(28110,plain,
% 73.98/46.84 (v199(constB171)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28109, 27531, 28106])).
% 73.98/46.84 tff(28111,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB171) | (~v199(constB171)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB171) | (~v199(constB171)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28112,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB171) | (~v199(constB171)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28113,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB171) | (~v199(constB171))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28112, 28111])).
% 73.98/46.84 tff(28114,plain,
% 73.98/46.84 (v198(constB171)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28113, 20970, 28110])).
% 73.98/46.84 tff(28115,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB171) | (~v198(constB171)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB171) | (~v198(constB171)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28116,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB171) | (~v198(constB171)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28117,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB171) | (~v198(constB171))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28116, 28115])).
% 73.98/46.84 tff(28118,plain,
% 73.98/46.84 (v197(constB171)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28117, 20995, 28114])).
% 73.98/46.84 tff(28119,plain,
% 73.98/46.84 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB171)) | (~v200(constB171)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB171)) | (~v200(constB171)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28120,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB171)) | (~v200(constB171)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28121,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB171)) | (~v200(constB171))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28120, 28119])).
% 73.98/46.84 tff(28122,plain,
% 73.98/46.84 (~v166(constB171)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28121, 27591, 28106])).
% 73.98/46.84 tff(28123,plain,
% 73.98/46.84 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB171) | (~v197(constB171)) | v166(constB171))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB171) | (~v197(constB171)) | v166(constB171))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28124,plain,
% 73.98/46.84 (((~v197(constB171)) | v166(constB171) | v241(constB171)) <=> (v241(constB171) | (~v197(constB171)) | v166(constB171))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28125,plain,
% 73.98/46.84 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB171)) | v166(constB171) | v241(constB171))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB171) | (~v197(constB171)) | v166(constB171)))),
% 73.98/46.84 inference(monotonicity,[status(thm)],[28124])).
% 73.98/46.84 tff(28126,plain,
% 73.98/46.84 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB171)) | v166(constB171) | v241(constB171))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB171) | (~v197(constB171)) | v166(constB171))),
% 73.98/46.84 inference(transitivity,[status(thm)],[28125, 28123])).
% 73.98/46.84 tff(28127,plain,
% 73.98/46.84 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB171)) | v166(constB171) | v241(constB171))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28128,plain,
% 73.98/46.84 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB171) | (~v197(constB171)) | v166(constB171)),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28127, 28126])).
% 73.98/46.84 tff(28129,plain,
% 73.98/46.84 (v241(constB171) | (~v197(constB171))),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28128, 6343, 28122])).
% 73.98/46.84 tff(28130,plain,
% 73.98/46.84 (v241(constB171)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28129, 28118])).
% 73.98/46.84 tff(28131,plain,
% 73.98/46.84 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB171)) | (~v223(constB171, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB171)) | (~v223(constB171, bitIndex2)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28132,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB171)) | (~v223(constB171, bitIndex2)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28133,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB171)) | (~v223(constB171, bitIndex2))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28132, 28131])).
% 73.98/46.84 tff(28134,plain,
% 73.98/46.84 (~v223(constB171, bitIndex2)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28133, 6357, 28130])).
% 73.98/46.84 tff(28135,plain,
% 73.98/46.84 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB171)) | v223(constB171, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB171)) | v223(constB171, bitIndex2))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28136,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB171)) | v223(constB171, bitIndex2))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28137,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB171)) | v223(constB171, bitIndex2)),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28136, 28135])).
% 73.98/46.84 tff(28138,plain,
% 73.98/46.84 (~v224(constB171)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28137, 6371, 28134])).
% 73.98/46.84 tff(28139,plain,
% 73.98/46.84 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB171)) | (~v199(constB171)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB171)) | (~v199(constB171)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28140,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB171)) | (~v199(constB171)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28141,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB171)) | (~v199(constB171))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28140, 28139])).
% 73.98/46.84 tff(28142,plain,
% 73.98/46.84 (~v183(constB171)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28141, 21034, 28110])).
% 73.98/46.84 tff(28143,plain,
% 73.98/46.84 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB171) | (~v197(constB171)) | v183(constB171))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB171) | (~v197(constB171)) | v183(constB171))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28144,plain,
% 73.98/46.84 (((~v197(constB171)) | v183(constB171) | v228(constB171)) <=> (v228(constB171) | (~v197(constB171)) | v183(constB171))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28145,plain,
% 73.98/46.84 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB171)) | v183(constB171) | v228(constB171))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB171) | (~v197(constB171)) | v183(constB171)))),
% 73.98/46.84 inference(monotonicity,[status(thm)],[28144])).
% 73.98/46.84 tff(28146,plain,
% 73.98/46.84 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB171)) | v183(constB171) | v228(constB171))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB171) | (~v197(constB171)) | v183(constB171))),
% 73.98/46.84 inference(transitivity,[status(thm)],[28145, 28143])).
% 73.98/46.84 tff(28147,plain,
% 73.98/46.84 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB171)) | v183(constB171) | v228(constB171))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28148,plain,
% 73.98/46.84 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB171) | (~v197(constB171)) | v183(constB171)),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28147, 28146])).
% 73.98/46.84 tff(28149,plain,
% 73.98/46.84 (v228(constB171)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28148, 6287, 28118, 28142])).
% 73.98/46.84 tff(28150,plain,
% 73.98/46.84 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB171)) | (~v223(constB171, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB171)) | (~v223(constB171, bitIndex1)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28151,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB171)) | (~v223(constB171, bitIndex1)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28152,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB171)) | (~v223(constB171, bitIndex1))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28151, 28150])).
% 73.98/46.84 tff(28153,plain,
% 73.98/46.84 (~v223(constB171, bitIndex1)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28152, 6301, 28149])).
% 73.98/46.84 tff(28154,plain,
% 73.98/46.84 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB171)) | v223(constB171, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB171)) | v223(constB171, bitIndex1))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28155,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB171)) | v223(constB171, bitIndex1))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28156,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB171)) | v223(constB171, bitIndex1)),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28155, 28154])).
% 73.98/46.84 tff(28157,plain,
% 73.98/46.84 (~v222(constB171)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28156, 6315, 28153])).
% 73.98/46.84 tff(28158,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB171) | v224(constB171) | (~v236(constB171)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB171) | v224(constB171) | (~v236(constB171)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28159,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB171) | v224(constB171) | (~v236(constB171)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28160,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB171) | v224(constB171) | (~v236(constB171))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28159, 28158])).
% 73.98/46.84 tff(28161,plain,
% 73.98/46.84 (~v236(constB171)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28160, 6385, 28157, 28138])).
% 73.98/46.84 tff(28162,plain,
% 73.98/46.84 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB171) | (~v232(constB171)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB171) | (~v232(constB171)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28163,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB171) | (~v232(constB171)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28164,plain,
% 73.98/46.84 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB171) | (~v232(constB171))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28163, 28162])).
% 73.98/46.84 tff(28165,plain,
% 73.98/46.84 (~v232(constB171)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28164, 6396, 28161])).
% 73.98/46.84 tff(28166,plain,
% 73.98/46.84 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB171)) | (~v201(constB171)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB171)) | (~v201(constB171)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28167,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB171)) | (~v201(constB171)))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28168,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB171)) | (~v201(constB171))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28167, 28166])).
% 73.98/46.84 tff(28169,plain,
% 73.98/46.84 (~v201(constB171)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28168, 20984, 28114])).
% 73.98/46.84 tff(28170,plain,
% 73.98/46.84 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB171) | v201(constB171) | (~v197(constB171)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB171) | v201(constB171) | (~v197(constB171)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28171,plain,
% 73.98/46.84 (((~v197(constB171)) | v201(constB171) | v227(constB171)) <=> (v227(constB171) | v201(constB171) | (~v197(constB171)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28172,plain,
% 73.98/46.84 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB171)) | v201(constB171) | v227(constB171))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB171) | v201(constB171) | (~v197(constB171))))),
% 73.98/46.84 inference(monotonicity,[status(thm)],[28171])).
% 73.98/46.84 tff(28173,plain,
% 73.98/46.84 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB171)) | v201(constB171) | v227(constB171))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB171) | v201(constB171) | (~v197(constB171)))),
% 73.98/46.84 inference(transitivity,[status(thm)],[28172, 28170])).
% 73.98/46.84 tff(28174,plain,
% 73.98/46.84 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB171)) | v201(constB171) | v227(constB171))),
% 73.98/46.84 inference(quant_inst,[status(thm)],[])).
% 73.98/46.84 tff(28175,plain,
% 73.98/46.84 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB171) | v201(constB171) | (~v197(constB171))),
% 73.98/46.84 inference(modus_ponens,[status(thm)],[28174, 28173])).
% 73.98/46.84 tff(28176,plain,
% 73.98/46.84 (v227(constB171)),
% 73.98/46.84 inference(unit_resolution,[status(thm)],[28175, 21009, 28118, 28169])).
% 73.98/46.84 tff(28177,plain,
% 73.98/46.84 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB171)) | (~v223(constB171, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB171)) | (~v223(constB171, bitIndex0)))),
% 73.98/46.84 inference(rewrite,[status(thm)],[])).
% 73.98/46.84 tff(28178,plain,
% 73.98/46.84 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB171)) | (~v223(constB171, bitIndex0)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28179,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB171)) | (~v223(constB171, bitIndex0))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28178, 28177])).
% 73.98/46.85 tff(28180,plain,
% 73.98/46.85 (~v223(constB171, bitIndex0)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28179, 21023, 28176])).
% 73.98/46.85 tff(28181,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB171, bitIndex1) | v223(constB171, bitIndex0) | (~v229(constB171)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB171, bitIndex1) | v223(constB171, bitIndex0) | (~v229(constB171)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28182,plain,
% 73.98/46.85 ((v223(constB171, bitIndex0) | v223(constB171, bitIndex1) | (~v229(constB171))) <=> (v223(constB171, bitIndex1) | v223(constB171, bitIndex0) | (~v229(constB171)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28183,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB171, bitIndex0) | v223(constB171, bitIndex1) | (~v229(constB171)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB171, bitIndex1) | v223(constB171, bitIndex0) | (~v229(constB171))))),
% 73.98/46.85 inference(monotonicity,[status(thm)],[28182])).
% 73.98/46.85 tff(28184,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB171, bitIndex0) | v223(constB171, bitIndex1) | (~v229(constB171)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB171, bitIndex1) | v223(constB171, bitIndex0) | (~v229(constB171)))),
% 73.98/46.85 inference(transitivity,[status(thm)],[28183, 28181])).
% 73.98/46.85 tff(28185,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB171, bitIndex0) | v223(constB171, bitIndex1) | (~v229(constB171)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28186,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB171, bitIndex1) | v223(constB171, bitIndex0) | (~v229(constB171))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28185, 28184])).
% 73.98/46.85 tff(28187,plain,
% 73.98/46.85 (~v229(constB171)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28186, 21059, 28153, 28180])).
% 73.98/46.85 tff(28188,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB171) | (~v225(constB171)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB171) | (~v225(constB171)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28189,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB171) | (~v225(constB171)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28190,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB171) | (~v225(constB171))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28189, 28188])).
% 73.98/46.85 tff(28191,plain,
% 73.98/46.85 (~v225(constB171)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28190, 21073, 28187])).
% 73.98/46.85 tff(28192,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB171) | v223(constB171, bitIndex2) | (~v242(constB171)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB171) | v223(constB171, bitIndex2) | (~v242(constB171)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28193,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB171) | v223(constB171, bitIndex2) | (~v242(constB171)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28194,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB171) | v223(constB171, bitIndex2) | (~v242(constB171))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28193, 28192])).
% 73.98/46.85 tff(28195,plain,
% 73.98/46.85 (v225(constB171) | (~v242(constB171))),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28194, 27617, 28134])).
% 73.98/46.85 tff(28196,plain,
% 73.98/46.85 (~v242(constB171)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28195, 28191])).
% 73.98/46.85 tff(28197,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB171) | (~v238(constB171)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB171) | (~v238(constB171)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28198,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB171) | (~v238(constB171)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28199,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB171) | (~v238(constB171))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28198, 28197])).
% 73.98/46.85 tff(28200,plain,
% 73.98/46.85 (~v238(constB171)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28199, 27632, 28196])).
% 73.98/46.85 tff(28201,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB171) | (~v237(constB171)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB171) | (~v237(constB171)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28202,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB171) | (~v237(constB171)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28203,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB171) | (~v237(constB171))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28202, 28201])).
% 73.98/46.85 tff(28204,plain,
% 73.98/46.85 (~v237(constB171)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28203, 27643, 28200])).
% 73.98/46.85 tff(28205,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB171) | (~v248(constB171)) | v232(constB171))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB171) | (~v248(constB171)) | v232(constB171))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28206,plain,
% 73.98/46.85 ((v237(constB171) | v232(constB171) | (~v248(constB171))) <=> (v237(constB171) | (~v248(constB171)) | v232(constB171))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28207,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB171) | v232(constB171) | (~v248(constB171)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB171) | (~v248(constB171)) | v232(constB171)))),
% 73.98/46.85 inference(monotonicity,[status(thm)],[28206])).
% 73.98/46.85 tff(28208,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB171) | v232(constB171) | (~v248(constB171)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB171) | (~v248(constB171)) | v232(constB171))),
% 73.98/46.85 inference(transitivity,[status(thm)],[28207, 28205])).
% 73.98/46.85 tff(28209,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB171) | v232(constB171) | (~v248(constB171)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28210,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB171) | (~v248(constB171)) | v232(constB171)),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28209, 28208])).
% 73.98/46.85 tff(28211,plain,
% 73.98/46.85 (~v248(constB171)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28210, 6469, 28204, 28165])).
% 73.98/46.85 tff(28212,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB171) | (~v244(constB171)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB171) | (~v244(constB171)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28213,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB171) | (~v244(constB171)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28214,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB171) | (~v244(constB171))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28213, 28212])).
% 73.98/46.85 tff(28215,plain,
% 73.98/46.85 (~v244(constB171)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28214, 6484, 28211])).
% 73.98/46.85 tff(28216,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB171) | (~v216(constB171, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB171) | (~v216(constB171, bitIndex1)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28217,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB171) | (~v216(constB171, bitIndex1)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28218,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB171) | (~v216(constB171, bitIndex1))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28217, 28216])).
% 73.98/46.85 tff(28219,plain,
% 73.98/46.85 (~v216(constB171, bitIndex1)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28218, 6495, 28215])).
% 73.98/46.85 tff(28220,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB171, bitIndex1) | (~v254(constB171)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB171, bitIndex1) | (~v254(constB171)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28221,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB171, bitIndex1) | (~v254(constB171)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28222,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB171, bitIndex1) | (~v254(constB171))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28221, 28220])).
% 73.98/46.85 tff(28223,plain,
% 73.98/46.85 (~v254(constB171)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28222, 6506, 28219])).
% 73.98/46.85 tff(28224,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB171) | (~v231(constB171)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB171) | (~v231(constB171)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28225,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB171) | (~v231(constB171)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28226,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB171) | (~v231(constB171))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28225, 28224])).
% 73.98/46.85 tff(28227,plain,
% 73.98/46.85 (~v231(constB171)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28226, 27687, 28165])).
% 73.98/46.85 tff(28228,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB171) | (~v221(constB171)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB171) | (~v221(constB171)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28229,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB171) | (~v221(constB171)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28230,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB171) | (~v221(constB171))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28229, 28228])).
% 73.98/46.85 tff(28231,plain,
% 73.98/46.85 (~v221(constB171)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28230, 21170, 28157])).
% 73.98/46.85 tff(28232,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB171) | v231(constB171) | (~v243(constB171)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB171) | v231(constB171) | (~v243(constB171)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28233,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB171) | v231(constB171) | (~v243(constB171)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28234,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB171) | v231(constB171) | (~v243(constB171))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28233, 28232])).
% 73.98/46.85 tff(28235,plain,
% 73.98/46.85 (v231(constB171) | (~v243(constB171))),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28234, 6542, 28231])).
% 73.98/46.85 tff(28236,plain,
% 73.98/46.85 (~v243(constB171)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28235, 28227])).
% 73.98/46.85 tff(28237,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB171) | v255(constB171))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB171) | v255(constB171))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28238,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB171) | v255(constB171))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28239,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB171) | v255(constB171)),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28238, 28237])).
% 73.98/46.85 tff(28240,plain,
% 73.98/46.85 (v255(constB171)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28239, 6553, 28236])).
% 73.98/46.85 tff(28241,plain,
% 73.98/46.85 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB171)) | (~v216(constB171, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB171)) | (~v216(constB171, bitIndex2)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28242,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB171)) | (~v216(constB171, bitIndex2)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28243,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB171)) | (~v216(constB171, bitIndex2))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28242, 28241])).
% 73.98/46.85 tff(28244,plain,
% 73.98/46.85 (~v216(constB171, bitIndex2)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28243, 6564, 28240])).
% 73.98/46.85 tff(28245,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB171) | v216(constB171, bitIndex2) | (~v215(constB171)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB171) | v216(constB171, bitIndex2) | (~v215(constB171)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28246,plain,
% 73.98/46.85 ((v216(constB171, bitIndex2) | v254(constB171) | (~v215(constB171))) <=> (v254(constB171) | v216(constB171, bitIndex2) | (~v215(constB171)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28247,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB171, bitIndex2) | v254(constB171) | (~v215(constB171)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB171) | v216(constB171, bitIndex2) | (~v215(constB171))))),
% 73.98/46.85 inference(monotonicity,[status(thm)],[28246])).
% 73.98/46.85 tff(28248,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB171, bitIndex2) | v254(constB171) | (~v215(constB171)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB171) | v216(constB171, bitIndex2) | (~v215(constB171)))),
% 73.98/46.85 inference(transitivity,[status(thm)],[28247, 28245])).
% 73.98/46.85 tff(28249,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB171, bitIndex2) | v254(constB171) | (~v215(constB171)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28250,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB171) | v216(constB171, bitIndex2) | (~v215(constB171))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28249, 28248])).
% 73.98/46.85 tff(28251,plain,
% 73.98/46.85 (v254(constB171) | (~v215(constB171))),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28250, 6578, 28244])).
% 73.98/46.85 tff(28252,plain,
% 73.98/46.85 (~v215(constB171)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28251, 28223])).
% 73.98/46.85 tff(28253,plain,
% 73.98/46.85 ($false),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28252, 28086])).
% 73.98/46.85 tff(28254,plain,(~(constB171 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.98/46.85 tff(28255,assumption,(constB95 = sK0_VarCurr), introduced(assumption)).
% 73.98/46.85 tff(28256,plain,
% 73.98/46.85 (v215(constB95) <=> v215(sK0_VarCurr)),
% 73.98/46.85 inference(monotonicity,[status(thm)],[28255])).
% 73.98/46.85 tff(28257,plain,
% 73.98/46.85 (v215(sK0_VarCurr) <=> v215(constB95)),
% 73.98/46.85 inference(symmetry,[status(thm)],[28256])).
% 73.98/46.85 tff(28258,plain,
% 73.98/46.85 (v215(constB95)),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28, 28257])).
% 73.98/46.85 tff(28259,plain,
% 73.98/46.85 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB95, bitIndex2)) | v88(constB95, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB95, bitIndex2)) | v88(constB95, bitIndex2))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28260,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB95, bitIndex2)) | v88(constB95, bitIndex2))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28261,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB95, bitIndex2)) | v88(constB95, bitIndex2)),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28260, 28259])).
% 73.98/46.85 tff(28262,plain,
% 73.98/46.85 (v88(constB95, bitIndex2)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28261, 6015, 14765])).
% 73.98/46.85 tff(28263,plain,
% 73.98/46.85 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB95, bitIndex2)) | (~v140(constB95)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB95, bitIndex2)) | (~v140(constB95)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28264,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB95, bitIndex2)) | (~v140(constB95)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28265,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB95, bitIndex2)) | (~v140(constB95))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28264, 28263])).
% 73.98/46.85 tff(28266,plain,
% 73.98/46.85 (~v140(constB95)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28265, 6026, 28262])).
% 73.98/46.85 tff(28267,plain,
% 73.98/46.85 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB95, bitIndex0)) | v88(constB95, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB95, bitIndex0)) | v88(constB95, bitIndex0))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28268,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB95, bitIndex0)) | v88(constB95, bitIndex0))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28269,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB95, bitIndex0)) | v88(constB95, bitIndex0)),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28268, 28267])).
% 73.98/46.85 tff(28270,plain,
% 73.98/46.85 (v88(constB95, bitIndex0)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28269, 6074, 14830])).
% 73.98/46.85 tff(28271,plain,
% 73.98/46.85 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB95, bitIndex0)) | (~v139(constB95)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB95, bitIndex0)) | (~v139(constB95)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28272,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB95, bitIndex0)) | (~v139(constB95)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28273,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB95, bitIndex0)) | (~v139(constB95))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28272, 28271])).
% 73.98/46.85 tff(28274,plain,
% 73.98/46.85 (~v139(constB95)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28273, 6085, 28270])).
% 73.98/46.85 tff(28275,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB95) | v139(constB95) | (~v200(constB95)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB95) | v139(constB95) | (~v200(constB95)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28276,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB95) | v139(constB95) | (~v200(constB95)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28277,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB95) | v139(constB95) | (~v200(constB95))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28276, 28275])).
% 73.98/46.85 tff(28278,plain,
% 73.98/46.85 (~v200(constB95)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28277, 6102, 28274, 28266])).
% 73.98/46.85 tff(28279,plain,
% 73.98/46.85 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB95, bitIndex2)) | (~v141(constB95)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB95, bitIndex2)) | (~v141(constB95)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28280,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB95, bitIndex2)) | (~v141(constB95)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28281,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB95, bitIndex2)) | (~v141(constB95))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28280, 28279])).
% 73.98/46.85 tff(28282,plain,
% 73.98/46.85 (~v141(constB95)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28281, 6116, 28262])).
% 73.98/46.85 tff(28283,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB95) | v200(constB95) | (~v199(constB95)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB95) | v200(constB95) | (~v199(constB95)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28284,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB95) | v200(constB95) | (~v199(constB95)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28285,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB95) | v200(constB95) | (~v199(constB95))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28284, 28283])).
% 73.98/46.85 tff(28286,plain,
% 73.98/46.85 (~v199(constB95)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28285, 6133, 28282, 28278])).
% 73.98/46.85 tff(28287,plain,
% 73.98/46.85 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB95, bitIndex0)) | (~v143(constB95)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB95, bitIndex0)) | (~v143(constB95)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28288,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB95, bitIndex0)) | (~v143(constB95)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28289,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB95, bitIndex0)) | (~v143(constB95))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28288, 28287])).
% 73.98/46.85 tff(28290,plain,
% 73.98/46.85 (~v143(constB95)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28289, 6144, 28270])).
% 73.98/46.85 tff(28291,plain,
% 73.98/46.85 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB95, bitIndex0)) | (~v144(constB95)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB95, bitIndex0)) | (~v144(constB95)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28292,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB95, bitIndex0)) | (~v144(constB95)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28293,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB95, bitIndex0)) | (~v144(constB95))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28292, 28291])).
% 73.98/46.85 tff(28294,plain,
% 73.98/46.85 (~v144(constB95)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28293, 6158, 28270])).
% 73.98/46.85 tff(28295,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB95) | v144(constB95) | (~v142(constB95)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB95) | v144(constB95) | (~v142(constB95)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28296,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB95) | v144(constB95) | (~v142(constB95)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28297,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB95) | v144(constB95) | (~v142(constB95))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28296, 28295])).
% 73.98/46.85 tff(28298,plain,
% 73.98/46.85 (~v142(constB95)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28297, 6175, 28294, 28290])).
% 73.98/46.85 tff(28299,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB95) | v199(constB95) | (~v183(constB95)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB95) | v199(constB95) | (~v183(constB95)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28300,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB95) | v199(constB95) | (~v183(constB95)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28301,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB95) | v199(constB95) | (~v183(constB95))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28300, 28299])).
% 73.98/46.85 tff(28302,plain,
% 73.98/46.85 (~v183(constB95)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28301, 6189, 28298, 28286])).
% 73.98/46.85 tff(28303,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB95, bitIndex1) | (~v88(constB95, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB95, bitIndex1) | (~v88(constB95, bitIndex1)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28304,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB95, bitIndex1) | (~v88(constB95, bitIndex1)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28305,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB95, bitIndex1) | (~v88(constB95, bitIndex1))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28304, 28303])).
% 73.98/46.85 tff(28306,plain,
% 73.98/46.85 (~v88(constB95, bitIndex1)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28305, 6234, 14799])).
% 73.98/46.85 tff(28307,plain,
% 73.98/46.85 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB95, bitIndex0)) | v147(constB95) | (~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB95, bitIndex0)) | v147(constB95) | (~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28308,plain,
% 73.98/46.85 (((~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)) | v147(constB95)) <=> ((~v88(constB95, bitIndex0)) | v147(constB95) | (~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28309,plain,
% 73.98/46.85 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)) | v147(constB95))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB95, bitIndex0)) | v147(constB95) | (~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1)))),
% 73.98/46.85 inference(monotonicity,[status(thm)],[28308])).
% 73.98/46.85 tff(28310,plain,
% 73.98/46.85 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)) | v147(constB95))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB95, bitIndex0)) | v147(constB95) | (~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1))),
% 73.98/46.85 inference(transitivity,[status(thm)],[28309, 28307])).
% 73.98/46.85 tff(28311,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1) | (~v88(constB95, bitIndex0)) | v147(constB95))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28312,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB95, bitIndex0)) | v147(constB95) | (~v88(constB95, bitIndex2)) | v88(constB95, bitIndex1)),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28311, 28310])).
% 73.98/46.85 tff(28313,plain,
% 73.98/46.85 (v147(constB95)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28312, 6248, 28270, 28262, 28306])).
% 73.98/46.85 tff(28314,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB95) | (~v147(constB95)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB95) | (~v147(constB95)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28315,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB95) | (~v147(constB95)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28316,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB95) | (~v147(constB95))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28315, 28314])).
% 73.98/46.85 tff(28317,plain,
% 73.98/46.85 (v145(constB95)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28316, 6262, 28313])).
% 73.98/46.85 tff(28318,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB95) | (~v145(constB95)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB95) | (~v145(constB95)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28319,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB95) | (~v145(constB95)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28320,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB95) | (~v145(constB95))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28319, 28318])).
% 73.98/46.85 tff(28321,plain,
% 73.98/46.85 (v197(constB95)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28320, 6273, 28317])).
% 73.98/46.85 tff(28322,plain,
% 73.98/46.85 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB95) | v183(constB95) | (~v197(constB95)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB95) | v183(constB95) | (~v197(constB95)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28323,plain,
% 73.98/46.85 (((~v197(constB95)) | v183(constB95) | v228(constB95)) <=> (v228(constB95) | v183(constB95) | (~v197(constB95)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28324,plain,
% 73.98/46.85 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB95)) | v183(constB95) | v228(constB95))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB95) | v183(constB95) | (~v197(constB95))))),
% 73.98/46.85 inference(monotonicity,[status(thm)],[28323])).
% 73.98/46.85 tff(28325,plain,
% 73.98/46.85 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB95)) | v183(constB95) | v228(constB95))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB95) | v183(constB95) | (~v197(constB95)))),
% 73.98/46.85 inference(transitivity,[status(thm)],[28324, 28322])).
% 73.98/46.85 tff(28326,plain,
% 73.98/46.85 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB95)) | v183(constB95) | v228(constB95))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28327,plain,
% 73.98/46.85 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB95) | v183(constB95) | (~v197(constB95))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28326, 28325])).
% 73.98/46.85 tff(28328,plain,
% 73.98/46.85 (v228(constB95)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28327, 6287, 28321, 28302])).
% 73.98/46.85 tff(28329,plain,
% 73.98/46.85 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB95)) | (~v223(constB95, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB95)) | (~v223(constB95, bitIndex1)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28330,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB95)) | (~v223(constB95, bitIndex1)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28331,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB95)) | (~v223(constB95, bitIndex1))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28330, 28329])).
% 73.98/46.85 tff(28332,plain,
% 73.98/46.85 (~v223(constB95, bitIndex1)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28331, 6301, 28328])).
% 73.98/46.85 tff(28333,plain,
% 73.98/46.85 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB95)) | v223(constB95, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB95)) | v223(constB95, bitIndex1))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28334,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB95)) | v223(constB95, bitIndex1))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28335,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB95)) | v223(constB95, bitIndex1)),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28334, 28333])).
% 73.98/46.85 tff(28336,plain,
% 73.98/46.85 (~v222(constB95)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28335, 6315, 28332])).
% 73.98/46.85 tff(28337,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB95) | v200(constB95) | (~v166(constB95)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB95) | v200(constB95) | (~v166(constB95)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28338,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB95) | v200(constB95) | (~v166(constB95)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28339,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB95) | v200(constB95) | (~v166(constB95))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28338, 28337])).
% 73.98/46.85 tff(28340,plain,
% 73.98/46.85 (~v166(constB95)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28339, 6329, 28282, 28278])).
% 73.98/46.85 tff(28341,plain,
% 73.98/46.85 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB95) | v166(constB95) | (~v197(constB95)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB95) | v166(constB95) | (~v197(constB95)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28342,plain,
% 73.98/46.85 (((~v197(constB95)) | v166(constB95) | v241(constB95)) <=> (v241(constB95) | v166(constB95) | (~v197(constB95)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28343,plain,
% 73.98/46.85 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB95)) | v166(constB95) | v241(constB95))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB95) | v166(constB95) | (~v197(constB95))))),
% 73.98/46.85 inference(monotonicity,[status(thm)],[28342])).
% 73.98/46.85 tff(28344,plain,
% 73.98/46.85 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB95)) | v166(constB95) | v241(constB95))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB95) | v166(constB95) | (~v197(constB95)))),
% 73.98/46.85 inference(transitivity,[status(thm)],[28343, 28341])).
% 73.98/46.85 tff(28345,plain,
% 73.98/46.85 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB95)) | v166(constB95) | v241(constB95))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28346,plain,
% 73.98/46.85 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB95) | v166(constB95) | (~v197(constB95))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28345, 28344])).
% 73.98/46.85 tff(28347,plain,
% 73.98/46.85 (v241(constB95)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28346, 6343, 28321, 28340])).
% 73.98/46.85 tff(28348,plain,
% 73.98/46.85 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB95)) | (~v223(constB95, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB95)) | (~v223(constB95, bitIndex2)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28349,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB95)) | (~v223(constB95, bitIndex2)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28350,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB95)) | (~v223(constB95, bitIndex2))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28349, 28348])).
% 73.98/46.85 tff(28351,plain,
% 73.98/46.85 (~v223(constB95, bitIndex2)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28350, 6357, 28347])).
% 73.98/46.85 tff(28352,plain,
% 73.98/46.85 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB95)) | v223(constB95, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB95)) | v223(constB95, bitIndex2))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28353,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB95)) | v223(constB95, bitIndex2))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28354,plain,
% 73.98/46.85 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB95)) | v223(constB95, bitIndex2)),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28353, 28352])).
% 73.98/46.85 tff(28355,plain,
% 73.98/46.85 (~v224(constB95)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28354, 6371, 28351])).
% 73.98/46.85 tff(28356,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB95) | v224(constB95) | (~v236(constB95)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB95) | v224(constB95) | (~v236(constB95)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28357,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB95) | v224(constB95) | (~v236(constB95)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28358,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB95) | v224(constB95) | (~v236(constB95))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28357, 28356])).
% 73.98/46.85 tff(28359,plain,
% 73.98/46.85 (~v236(constB95)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28358, 6385, 28355, 28336])).
% 73.98/46.85 tff(28360,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB95) | (~v232(constB95)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB95) | (~v232(constB95)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28361,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB95) | (~v232(constB95)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28362,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB95) | (~v232(constB95))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28361, 28360])).
% 73.98/46.85 tff(28363,plain,
% 73.98/46.85 (~v232(constB95)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28362, 6396, 28359])).
% 73.98/46.85 tff(28364,plain,
% 73.98/46.85 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB95) | v139(constB95) | (~v148(constB95)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB95) | v139(constB95) | (~v148(constB95)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28365,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB95) | v139(constB95) | (~v148(constB95)))),
% 73.98/46.85 inference(quant_inst,[status(thm)],[])).
% 73.98/46.85 tff(28366,plain,
% 73.98/46.85 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB95) | v139(constB95) | (~v148(constB95))),
% 73.98/46.85 inference(modus_ponens,[status(thm)],[28365, 28364])).
% 73.98/46.85 tff(28367,plain,
% 73.98/46.85 (~v148(constB95)),
% 73.98/46.85 inference(unit_resolution,[status(thm)],[28366, 6410, 28274, 28266])).
% 73.98/46.85 tff(28368,plain,
% 73.98/46.85 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB95) | v148(constB95) | (~v197(constB95)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB95) | v148(constB95) | (~v197(constB95)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28369,plain,
% 73.98/46.85 ((v148(constB95) | (~v197(constB95)) | v252(constB95)) <=> (v252(constB95) | v148(constB95) | (~v197(constB95)))),
% 73.98/46.85 inference(rewrite,[status(thm)],[])).
% 73.98/46.85 tff(28370,plain,
% 73.98/46.85 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB95) | (~v197(constB95)) | v252(constB95))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB95) | v148(constB95) | (~v197(constB95))))),
% 73.98/46.86 inference(monotonicity,[status(thm)],[28369])).
% 73.98/46.86 tff(28371,plain,
% 73.98/46.86 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB95) | (~v197(constB95)) | v252(constB95))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB95) | v148(constB95) | (~v197(constB95)))),
% 73.98/46.86 inference(transitivity,[status(thm)],[28370, 28368])).
% 73.98/46.86 tff(28372,plain,
% 73.98/46.86 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB95) | (~v197(constB95)) | v252(constB95))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28373,plain,
% 73.98/46.86 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB95) | v148(constB95) | (~v197(constB95))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28372, 28371])).
% 73.98/46.86 tff(28374,plain,
% 73.98/46.86 (v252(constB95)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28373, 6427, 28321, 28367])).
% 73.98/46.86 tff(28375,plain,
% 73.98/46.86 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB95)) | (~v223(constB95, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB95)) | (~v223(constB95, bitIndex3)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28376,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB95)) | (~v223(constB95, bitIndex3)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28377,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB95)) | (~v223(constB95, bitIndex3))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28376, 28375])).
% 73.98/46.86 tff(28378,plain,
% 73.98/46.86 (~v223(constB95, bitIndex3)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28377, 6441, 28374])).
% 73.98/46.86 tff(28379,plain,
% 73.98/46.86 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB95)) | v223(constB95, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB95)) | v223(constB95, bitIndex3))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28380,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB95)) | v223(constB95, bitIndex3))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28381,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB95)) | v223(constB95, bitIndex3)),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28380, 28379])).
% 73.98/46.86 tff(28382,plain,
% 73.98/46.86 (~v237(constB95)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28381, 6455, 28378])).
% 73.98/46.86 tff(28383,plain,
% 73.98/46.86 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB95) | v232(constB95) | (~v248(constB95)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB95) | v232(constB95) | (~v248(constB95)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28384,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB95) | v232(constB95) | (~v248(constB95)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28385,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB95) | v232(constB95) | (~v248(constB95))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28384, 28383])).
% 73.98/46.86 tff(28386,plain,
% 73.98/46.86 (v232(constB95) | (~v248(constB95))),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28385, 6469, 28382])).
% 73.98/46.86 tff(28387,plain,
% 73.98/46.86 (~v248(constB95)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28386, 28363])).
% 73.98/46.86 tff(28388,plain,
% 73.98/46.86 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB95) | (~v244(constB95)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB95) | (~v244(constB95)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28389,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB95) | (~v244(constB95)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28390,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB95) | (~v244(constB95))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28389, 28388])).
% 73.98/46.86 tff(28391,plain,
% 73.98/46.86 (~v244(constB95)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28390, 6484, 28387])).
% 73.98/46.86 tff(28392,plain,
% 73.98/46.86 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB95) | (~v216(constB95, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB95) | (~v216(constB95, bitIndex1)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28393,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB95) | (~v216(constB95, bitIndex1)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28394,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB95) | (~v216(constB95, bitIndex1))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28393, 28392])).
% 73.98/46.86 tff(28395,plain,
% 73.98/46.86 (~v216(constB95, bitIndex1)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28394, 6495, 28391])).
% 73.98/46.86 tff(28396,plain,
% 73.98/46.86 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB95, bitIndex1) | (~v254(constB95)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB95, bitIndex1) | (~v254(constB95)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28397,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB95, bitIndex1) | (~v254(constB95)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28398,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB95, bitIndex1) | (~v254(constB95))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28397, 28396])).
% 73.98/46.86 tff(28399,plain,
% 73.98/46.86 (~v254(constB95)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28398, 6506, 28395])).
% 73.98/46.86 tff(28400,plain,
% 73.98/46.86 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB95) | (~v221(constB95)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB95) | (~v221(constB95)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28401,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB95) | (~v221(constB95)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28402,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB95) | (~v221(constB95))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28401, 28400])).
% 73.98/46.86 tff(28403,plain,
% 73.98/46.86 (~v221(constB95)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28402, 6517, 28355])).
% 73.98/46.86 tff(28404,plain,
% 73.98/46.86 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB95) | (~v231(constB95)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB95) | (~v231(constB95)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28405,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB95) | (~v231(constB95)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28406,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB95) | (~v231(constB95))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28405, 28404])).
% 73.98/46.86 tff(28407,plain,
% 73.98/46.86 (~v231(constB95)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28406, 6528, 28382])).
% 73.98/46.86 tff(28408,plain,
% 73.98/46.86 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB95) | v231(constB95) | (~v243(constB95)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB95) | v231(constB95) | (~v243(constB95)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28409,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB95) | v231(constB95) | (~v243(constB95)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28410,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB95) | v231(constB95) | (~v243(constB95))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28409, 28408])).
% 73.98/46.86 tff(28411,plain,
% 73.98/46.86 (~v243(constB95)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28410, 6542, 28407, 28403])).
% 73.98/46.86 tff(28412,plain,
% 73.98/46.86 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB95) | v255(constB95))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB95) | v255(constB95))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28413,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB95) | v255(constB95))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28414,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB95) | v255(constB95)),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28413, 28412])).
% 73.98/46.86 tff(28415,plain,
% 73.98/46.86 (v255(constB95)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28414, 6553, 28411])).
% 73.98/46.86 tff(28416,plain,
% 73.98/46.86 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB95)) | (~v216(constB95, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB95)) | (~v216(constB95, bitIndex2)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28417,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB95)) | (~v216(constB95, bitIndex2)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28418,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB95)) | (~v216(constB95, bitIndex2))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28417, 28416])).
% 73.98/46.86 tff(28419,plain,
% 73.98/46.86 (~v216(constB95, bitIndex2)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28418, 6564, 28415])).
% 73.98/46.86 tff(28420,plain,
% 73.98/46.86 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB95, bitIndex2) | (~v215(constB95)) | v254(constB95))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB95, bitIndex2) | (~v215(constB95)) | v254(constB95))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28421,plain,
% 73.98/46.86 ((v216(constB95, bitIndex2) | v254(constB95) | (~v215(constB95))) <=> (v216(constB95, bitIndex2) | (~v215(constB95)) | v254(constB95))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28422,plain,
% 73.98/46.86 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB95, bitIndex2) | v254(constB95) | (~v215(constB95)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB95, bitIndex2) | (~v215(constB95)) | v254(constB95)))),
% 73.98/46.86 inference(monotonicity,[status(thm)],[28421])).
% 73.98/46.86 tff(28423,plain,
% 73.98/46.86 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB95, bitIndex2) | v254(constB95) | (~v215(constB95)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB95, bitIndex2) | (~v215(constB95)) | v254(constB95))),
% 73.98/46.86 inference(transitivity,[status(thm)],[28422, 28420])).
% 73.98/46.86 tff(28424,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB95, bitIndex2) | v254(constB95) | (~v215(constB95)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28425,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB95, bitIndex2) | (~v215(constB95)) | v254(constB95)),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28424, 28423])).
% 73.98/46.86 tff(28426,plain,
% 73.98/46.86 ((~v215(constB95)) | v254(constB95)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28425, 6578, 28419])).
% 73.98/46.86 tff(28427,plain,
% 73.98/46.86 (~v215(constB95)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28426, 28399])).
% 73.98/46.86 tff(28428,plain,
% 73.98/46.86 ($false),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28427, 28258])).
% 73.98/46.86 tff(28429,plain,(~(constB95 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.98/46.86 tff(28430,assumption,(constB107 = sK0_VarCurr), introduced(assumption)).
% 73.98/46.86 tff(28431,plain,
% 73.98/46.86 (v215(constB107) <=> v215(sK0_VarCurr)),
% 73.98/46.86 inference(monotonicity,[status(thm)],[28430])).
% 73.98/46.86 tff(28432,plain,
% 73.98/46.86 (v215(sK0_VarCurr) <=> v215(constB107)),
% 73.98/46.86 inference(symmetry,[status(thm)],[28431])).
% 73.98/46.86 tff(28433,plain,
% 73.98/46.86 (v215(constB107)),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28, 28432])).
% 73.98/46.86 tff(28434,plain,
% 73.98/46.86 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB107, bitIndex2)) | v88(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB107, bitIndex2)) | v88(constB107, bitIndex2))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28435,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB107, bitIndex2)) | v88(constB107, bitIndex2))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28436,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB107, bitIndex2)) | v88(constB107, bitIndex2)),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28435, 28434])).
% 73.98/46.86 tff(28437,plain,
% 73.98/46.86 (v88(constB107, bitIndex2)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28436, 6015, 16113])).
% 73.98/46.86 tff(28438,plain,
% 73.98/46.86 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB107, bitIndex2)) | (~v140(constB107)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB107, bitIndex2)) | (~v140(constB107)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28439,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB107, bitIndex2)) | (~v140(constB107)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28440,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB107, bitIndex2)) | (~v140(constB107))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28439, 28438])).
% 73.98/46.86 tff(28441,plain,
% 73.98/46.86 (~v140(constB107)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28440, 6026, 28437])).
% 73.98/46.86 tff(28442,plain,
% 73.98/46.86 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB107, bitIndex0)) | v88(constB107, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB107, bitIndex0)) | v88(constB107, bitIndex0))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28443,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB107, bitIndex0)) | v88(constB107, bitIndex0))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28444,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB107, bitIndex0)) | v88(constB107, bitIndex0)),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28443, 28442])).
% 73.98/46.86 tff(28445,plain,
% 73.98/46.86 (v88(constB107, bitIndex0)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28444, 6074, 16122])).
% 73.98/46.86 tff(28446,plain,
% 73.98/46.86 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB107, bitIndex0)) | (~v139(constB107)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB107, bitIndex0)) | (~v139(constB107)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28447,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB107, bitIndex0)) | (~v139(constB107)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28448,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB107, bitIndex0)) | (~v139(constB107))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28447, 28446])).
% 73.98/46.86 tff(28449,plain,
% 73.98/46.86 (~v139(constB107)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28448, 6085, 28445])).
% 73.98/46.86 tff(28450,plain,
% 73.98/46.86 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB107) | v139(constB107) | (~v200(constB107)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB107) | v139(constB107) | (~v200(constB107)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28451,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB107) | v139(constB107) | (~v200(constB107)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28452,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB107) | v139(constB107) | (~v200(constB107))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28451, 28450])).
% 73.98/46.86 tff(28453,plain,
% 73.98/46.86 (v140(constB107) | (~v200(constB107))),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28452, 6102, 28449])).
% 73.98/46.86 tff(28454,plain,
% 73.98/46.86 (~v200(constB107)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28453, 28441])).
% 73.98/46.86 tff(28455,plain,
% 73.98/46.86 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB107, bitIndex2)) | (~v141(constB107)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB107, bitIndex2)) | (~v141(constB107)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28456,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB107, bitIndex2)) | (~v141(constB107)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28457,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB107, bitIndex2)) | (~v141(constB107))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28456, 28455])).
% 73.98/46.86 tff(28458,plain,
% 73.98/46.86 (~v141(constB107)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28457, 6116, 28437])).
% 73.98/46.86 tff(28459,plain,
% 73.98/46.86 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB107) | v200(constB107) | (~v199(constB107)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB107) | v200(constB107) | (~v199(constB107)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28460,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB107) | v200(constB107) | (~v199(constB107)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28461,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB107) | v200(constB107) | (~v199(constB107))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28460, 28459])).
% 73.98/46.86 tff(28462,plain,
% 73.98/46.86 (~v199(constB107)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28461, 6133, 28458, 28454])).
% 73.98/46.86 tff(28463,plain,
% 73.98/46.86 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB107, bitIndex0)) | (~v143(constB107)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB107, bitIndex0)) | (~v143(constB107)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28464,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB107, bitIndex0)) | (~v143(constB107)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28465,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB107, bitIndex0)) | (~v143(constB107))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28464, 28463])).
% 73.98/46.86 tff(28466,plain,
% 73.98/46.86 (~v143(constB107)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28465, 6144, 28445])).
% 73.98/46.86 tff(28467,plain,
% 73.98/46.86 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB107, bitIndex0)) | (~v144(constB107)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB107, bitIndex0)) | (~v144(constB107)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28468,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB107, bitIndex0)) | (~v144(constB107)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28469,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB107, bitIndex0)) | (~v144(constB107))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28468, 28467])).
% 73.98/46.86 tff(28470,plain,
% 73.98/46.86 (~v144(constB107)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28469, 6158, 28445])).
% 73.98/46.86 tff(28471,plain,
% 73.98/46.86 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB107) | v144(constB107) | (~v142(constB107)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB107) | v144(constB107) | (~v142(constB107)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28472,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB107) | v144(constB107) | (~v142(constB107)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28473,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB107) | v144(constB107) | (~v142(constB107))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28472, 28471])).
% 73.98/46.86 tff(28474,plain,
% 73.98/46.86 (~v142(constB107)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28473, 6175, 28470, 28466])).
% 73.98/46.86 tff(28475,plain,
% 73.98/46.86 (((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB107) | v199(constB107) | (~v183(constB107)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB107) | v199(constB107) | (~v183(constB107)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28476,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB107) | v199(constB107) | (~v183(constB107)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28477,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB107) | v199(constB107) | (~v183(constB107))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28476, 28475])).
% 73.98/46.86 tff(28478,plain,
% 73.98/46.86 (v199(constB107) | (~v183(constB107))),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28477, 6189, 28474])).
% 73.98/46.86 tff(28479,plain,
% 73.98/46.86 (~v183(constB107)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28478, 28462])).
% 73.98/46.86 tff(28480,plain,
% 73.98/46.86 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB107, bitIndex1) | (~v88(constB107, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB107, bitIndex1) | (~v88(constB107, bitIndex1)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28481,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB107, bitIndex1) | (~v88(constB107, bitIndex1)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28482,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB107, bitIndex1) | (~v88(constB107, bitIndex1))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28481, 28480])).
% 73.98/46.86 tff(28483,plain,
% 73.98/46.86 (~v88(constB107, bitIndex1)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28482, 6234, 16082])).
% 73.98/46.86 tff(28484,plain,
% 73.98/46.86 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB107, bitIndex1) | (~v88(constB107, bitIndex2)) | (~v88(constB107, bitIndex0)) | v147(constB107))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex2)) | (~v88(constB107, bitIndex0)) | v147(constB107))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28485,plain,
% 73.98/46.86 (((~v88(constB107, bitIndex2)) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)) | v147(constB107)) <=> (v88(constB107, bitIndex1) | (~v88(constB107, bitIndex2)) | (~v88(constB107, bitIndex0)) | v147(constB107))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28486,plain,
% 73.98/46.86 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB107, bitIndex2)) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)) | v147(constB107))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB107, bitIndex1) | (~v88(constB107, bitIndex2)) | (~v88(constB107, bitIndex0)) | v147(constB107)))),
% 73.98/46.86 inference(monotonicity,[status(thm)],[28485])).
% 73.98/46.86 tff(28487,plain,
% 73.98/46.86 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB107, bitIndex2)) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)) | v147(constB107))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex2)) | (~v88(constB107, bitIndex0)) | v147(constB107))),
% 73.98/46.86 inference(transitivity,[status(thm)],[28486, 28484])).
% 73.98/46.86 tff(28488,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB107, bitIndex2)) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)) | v147(constB107))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28489,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex2)) | (~v88(constB107, bitIndex0)) | v147(constB107)),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28488, 28487])).
% 73.98/46.86 tff(28490,plain,
% 73.98/46.86 (v88(constB107, bitIndex1) | (~v88(constB107, bitIndex2)) | v147(constB107)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28489, 6248, 28445])).
% 73.98/46.86 tff(28491,plain,
% 73.98/46.86 (v147(constB107)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28490, 28483, 28437])).
% 73.98/46.86 tff(28492,plain,
% 73.98/46.86 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB107) | (~v147(constB107)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB107) | (~v147(constB107)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28493,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB107) | (~v147(constB107)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28494,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB107) | (~v147(constB107))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28493, 28492])).
% 73.98/46.86 tff(28495,plain,
% 73.98/46.86 (v145(constB107)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28494, 6262, 28491])).
% 73.98/46.86 tff(28496,plain,
% 73.98/46.86 (((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB107) | (~v145(constB107)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB107) | (~v145(constB107)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28497,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB107) | (~v145(constB107)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28498,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB107) | (~v145(constB107))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28497, 28496])).
% 73.98/46.86 tff(28499,plain,
% 73.98/46.86 (v197(constB107)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28498, 6273, 28495])).
% 73.98/46.86 tff(28500,plain,
% 73.98/46.86 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB107) | v183(constB107) | (~v197(constB107)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB107) | v183(constB107) | (~v197(constB107)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28501,plain,
% 73.98/46.86 (((~v197(constB107)) | v183(constB107) | v228(constB107)) <=> (v228(constB107) | v183(constB107) | (~v197(constB107)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28502,plain,
% 73.98/46.86 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB107)) | v183(constB107) | v228(constB107))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB107) | v183(constB107) | (~v197(constB107))))),
% 73.98/46.86 inference(monotonicity,[status(thm)],[28501])).
% 73.98/46.86 tff(28503,plain,
% 73.98/46.86 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB107)) | v183(constB107) | v228(constB107))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB107) | v183(constB107) | (~v197(constB107)))),
% 73.98/46.86 inference(transitivity,[status(thm)],[28502, 28500])).
% 73.98/46.86 tff(28504,plain,
% 73.98/46.86 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB107)) | v183(constB107) | v228(constB107))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28505,plain,
% 73.98/46.86 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB107) | v183(constB107) | (~v197(constB107))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28504, 28503])).
% 73.98/46.86 tff(28506,plain,
% 73.98/46.86 (v228(constB107)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28505, 6287, 28499, 28479])).
% 73.98/46.86 tff(28507,plain,
% 73.98/46.86 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB107)) | (~v223(constB107, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB107)) | (~v223(constB107, bitIndex1)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28508,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB107)) | (~v223(constB107, bitIndex1)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28509,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB107)) | (~v223(constB107, bitIndex1))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28508, 28507])).
% 73.98/46.86 tff(28510,plain,
% 73.98/46.86 (~v223(constB107, bitIndex1)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28509, 6301, 28506])).
% 73.98/46.86 tff(28511,plain,
% 73.98/46.86 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB107)) | v223(constB107, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB107)) | v223(constB107, bitIndex1))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28512,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB107)) | v223(constB107, bitIndex1))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28513,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB107)) | v223(constB107, bitIndex1)),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28512, 28511])).
% 73.98/46.86 tff(28514,plain,
% 73.98/46.86 (~v222(constB107)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28513, 6315, 28510])).
% 73.98/46.86 tff(28515,plain,
% 73.98/46.86 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB107) | v200(constB107) | (~v166(constB107)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB107) | v200(constB107) | (~v166(constB107)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28516,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB107) | v200(constB107) | (~v166(constB107)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28517,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB107) | v200(constB107) | (~v166(constB107))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28516, 28515])).
% 73.98/46.86 tff(28518,plain,
% 73.98/46.86 (~v166(constB107)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28517, 6329, 28458, 28454])).
% 73.98/46.86 tff(28519,plain,
% 73.98/46.86 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB107) | v166(constB107) | (~v197(constB107)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB107) | v166(constB107) | (~v197(constB107)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28520,plain,
% 73.98/46.86 (((~v197(constB107)) | v166(constB107) | v241(constB107)) <=> (v241(constB107) | v166(constB107) | (~v197(constB107)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28521,plain,
% 73.98/46.86 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB107)) | v166(constB107) | v241(constB107))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB107) | v166(constB107) | (~v197(constB107))))),
% 73.98/46.86 inference(monotonicity,[status(thm)],[28520])).
% 73.98/46.86 tff(28522,plain,
% 73.98/46.86 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB107)) | v166(constB107) | v241(constB107))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB107) | v166(constB107) | (~v197(constB107)))),
% 73.98/46.86 inference(transitivity,[status(thm)],[28521, 28519])).
% 73.98/46.86 tff(28523,plain,
% 73.98/46.86 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB107)) | v166(constB107) | v241(constB107))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28524,plain,
% 73.98/46.86 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB107) | v166(constB107) | (~v197(constB107))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28523, 28522])).
% 73.98/46.86 tff(28525,plain,
% 73.98/46.86 (v241(constB107)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28524, 6343, 28499, 28518])).
% 73.98/46.86 tff(28526,plain,
% 73.98/46.86 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB107)) | (~v223(constB107, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB107)) | (~v223(constB107, bitIndex2)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28527,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB107)) | (~v223(constB107, bitIndex2)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28528,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB107)) | (~v223(constB107, bitIndex2))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28527, 28526])).
% 73.98/46.86 tff(28529,plain,
% 73.98/46.86 (~v223(constB107, bitIndex2)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28528, 6357, 28525])).
% 73.98/46.86 tff(28530,plain,
% 73.98/46.86 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB107)) | v223(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB107)) | v223(constB107, bitIndex2))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28531,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB107)) | v223(constB107, bitIndex2))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28532,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB107)) | v223(constB107, bitIndex2)),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28531, 28530])).
% 73.98/46.86 tff(28533,plain,
% 73.98/46.86 (~v224(constB107)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28532, 6371, 28529])).
% 73.98/46.86 tff(28534,plain,
% 73.98/46.86 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB107) | v224(constB107) | (~v236(constB107)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB107) | v224(constB107) | (~v236(constB107)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28535,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB107) | v224(constB107) | (~v236(constB107)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28536,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB107) | v224(constB107) | (~v236(constB107))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28535, 28534])).
% 73.98/46.86 tff(28537,plain,
% 73.98/46.86 (~v236(constB107)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28536, 6385, 28533, 28514])).
% 73.98/46.86 tff(28538,plain,
% 73.98/46.86 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB107) | (~v232(constB107)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB107) | (~v232(constB107)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28539,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB107) | (~v232(constB107)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28540,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB107) | (~v232(constB107))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28539, 28538])).
% 73.98/46.86 tff(28541,plain,
% 73.98/46.86 (~v232(constB107)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28540, 6396, 28537])).
% 73.98/46.86 tff(28542,plain,
% 73.98/46.86 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB107) | v139(constB107) | (~v148(constB107)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB107) | v139(constB107) | (~v148(constB107)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28543,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB107) | v139(constB107) | (~v148(constB107)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28544,plain,
% 73.98/46.86 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB107) | v139(constB107) | (~v148(constB107))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28543, 28542])).
% 73.98/46.86 tff(28545,plain,
% 73.98/46.86 (v140(constB107) | (~v148(constB107))),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28544, 6410, 28449])).
% 73.98/46.86 tff(28546,plain,
% 73.98/46.86 (~v148(constB107)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28545, 28441])).
% 73.98/46.86 tff(28547,plain,
% 73.98/46.86 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB107) | v148(constB107) | (~v197(constB107)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB107) | v148(constB107) | (~v197(constB107)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28548,plain,
% 73.98/46.86 ((v148(constB107) | (~v197(constB107)) | v252(constB107)) <=> (v252(constB107) | v148(constB107) | (~v197(constB107)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28549,plain,
% 73.98/46.86 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB107) | (~v197(constB107)) | v252(constB107))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB107) | v148(constB107) | (~v197(constB107))))),
% 73.98/46.86 inference(monotonicity,[status(thm)],[28548])).
% 73.98/46.86 tff(28550,plain,
% 73.98/46.86 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB107) | (~v197(constB107)) | v252(constB107))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB107) | v148(constB107) | (~v197(constB107)))),
% 73.98/46.86 inference(transitivity,[status(thm)],[28549, 28547])).
% 73.98/46.86 tff(28551,plain,
% 73.98/46.86 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB107) | (~v197(constB107)) | v252(constB107))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28552,plain,
% 73.98/46.86 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB107) | v148(constB107) | (~v197(constB107))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28551, 28550])).
% 73.98/46.86 tff(28553,plain,
% 73.98/46.86 (v252(constB107)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28552, 6427, 28499, 28546])).
% 73.98/46.86 tff(28554,plain,
% 73.98/46.86 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB107)) | (~v223(constB107, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB107)) | (~v223(constB107, bitIndex3)))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28555,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB107)) | (~v223(constB107, bitIndex3)))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28556,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB107)) | (~v223(constB107, bitIndex3))),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28555, 28554])).
% 73.98/46.86 tff(28557,plain,
% 73.98/46.86 (~v223(constB107, bitIndex3)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28556, 6441, 28553])).
% 73.98/46.86 tff(28558,plain,
% 73.98/46.86 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB107)) | v223(constB107, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB107)) | v223(constB107, bitIndex3))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28559,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB107)) | v223(constB107, bitIndex3))),
% 73.98/46.86 inference(quant_inst,[status(thm)],[])).
% 73.98/46.86 tff(28560,plain,
% 73.98/46.86 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB107)) | v223(constB107, bitIndex3)),
% 73.98/46.86 inference(modus_ponens,[status(thm)],[28559, 28558])).
% 73.98/46.86 tff(28561,plain,
% 73.98/46.86 (~v237(constB107)),
% 73.98/46.86 inference(unit_resolution,[status(thm)],[28560, 6455, 28557])).
% 73.98/46.86 tff(28562,plain,
% 73.98/46.86 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB107) | (~v248(constB107)) | v232(constB107))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB107) | (~v248(constB107)) | v232(constB107))),
% 73.98/46.86 inference(rewrite,[status(thm)],[])).
% 73.98/46.86 tff(28563,plain,
% 73.98/46.86 ((v237(constB107) | v232(constB107) | (~v248(constB107))) <=> (v237(constB107) | (~v248(constB107)) | v232(constB107))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28564,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB107) | v232(constB107) | (~v248(constB107)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB107) | (~v248(constB107)) | v232(constB107)))),
% 73.98/46.87 inference(monotonicity,[status(thm)],[28563])).
% 73.98/46.87 tff(28565,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB107) | v232(constB107) | (~v248(constB107)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB107) | (~v248(constB107)) | v232(constB107))),
% 73.98/46.87 inference(transitivity,[status(thm)],[28564, 28562])).
% 73.98/46.87 tff(28566,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB107) | v232(constB107) | (~v248(constB107)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28567,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB107) | (~v248(constB107)) | v232(constB107)),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28566, 28565])).
% 73.98/46.87 tff(28568,plain,
% 73.98/46.87 ((~v248(constB107)) | v232(constB107)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28567, 6469, 28561])).
% 73.98/46.87 tff(28569,plain,
% 73.98/46.87 (~v248(constB107)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28568, 28541])).
% 73.98/46.87 tff(28570,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB107) | (~v244(constB107)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB107) | (~v244(constB107)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28571,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB107) | (~v244(constB107)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28572,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB107) | (~v244(constB107))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28571, 28570])).
% 73.98/46.87 tff(28573,plain,
% 73.98/46.87 (~v244(constB107)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28572, 6484, 28569])).
% 73.98/46.87 tff(28574,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB107) | (~v216(constB107, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB107) | (~v216(constB107, bitIndex1)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28575,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB107) | (~v216(constB107, bitIndex1)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28576,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB107) | (~v216(constB107, bitIndex1))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28575, 28574])).
% 73.98/46.87 tff(28577,plain,
% 73.98/46.87 (~v216(constB107, bitIndex1)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28576, 6495, 28573])).
% 73.98/46.87 tff(28578,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB107, bitIndex1) | (~v254(constB107)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB107, bitIndex1) | (~v254(constB107)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28579,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB107, bitIndex1) | (~v254(constB107)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28580,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB107, bitIndex1) | (~v254(constB107))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28579, 28578])).
% 73.98/46.87 tff(28581,plain,
% 73.98/46.87 (~v254(constB107)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28580, 6506, 28577])).
% 73.98/46.87 tff(28582,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB107) | (~v221(constB107)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB107) | (~v221(constB107)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28583,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB107) | (~v221(constB107)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28584,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB107) | (~v221(constB107))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28583, 28582])).
% 73.98/46.87 tff(28585,plain,
% 73.98/46.87 (~v221(constB107)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28584, 6517, 28533])).
% 73.98/46.87 tff(28586,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB107) | (~v231(constB107)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB107) | (~v231(constB107)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28587,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB107) | (~v231(constB107)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28588,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB107) | (~v231(constB107))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28587, 28586])).
% 73.98/46.87 tff(28589,plain,
% 73.98/46.87 (~v231(constB107)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28588, 6528, 28561])).
% 73.98/46.87 tff(28590,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB107) | v231(constB107) | (~v243(constB107)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB107) | v231(constB107) | (~v243(constB107)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28591,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB107) | v231(constB107) | (~v243(constB107)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28592,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB107) | v231(constB107) | (~v243(constB107))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28591, 28590])).
% 73.98/46.87 tff(28593,plain,
% 73.98/46.87 (v221(constB107) | (~v243(constB107))),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28592, 6542, 28589])).
% 73.98/46.87 tff(28594,plain,
% 73.98/46.87 (~v243(constB107)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28593, 28585])).
% 73.98/46.87 tff(28595,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB107) | v255(constB107))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB107) | v255(constB107))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28596,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB107) | v255(constB107))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28597,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB107) | v255(constB107)),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28596, 28595])).
% 73.98/46.87 tff(28598,plain,
% 73.98/46.87 (v255(constB107)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28597, 6553, 28594])).
% 73.98/46.87 tff(28599,plain,
% 73.98/46.87 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB107)) | (~v216(constB107, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB107)) | (~v216(constB107, bitIndex2)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28600,plain,
% 73.98/46.87 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB107)) | (~v216(constB107, bitIndex2)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28601,plain,
% 73.98/46.87 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB107)) | (~v216(constB107, bitIndex2))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28600, 28599])).
% 73.98/46.87 tff(28602,plain,
% 73.98/46.87 (~v216(constB107, bitIndex2)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28601, 6564, 28598])).
% 73.98/46.87 tff(28603,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB107, bitIndex2) | (~v215(constB107)) | v254(constB107))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB107, bitIndex2) | (~v215(constB107)) | v254(constB107))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28604,plain,
% 73.98/46.87 ((v216(constB107, bitIndex2) | v254(constB107) | (~v215(constB107))) <=> (v216(constB107, bitIndex2) | (~v215(constB107)) | v254(constB107))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28605,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB107, bitIndex2) | v254(constB107) | (~v215(constB107)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB107, bitIndex2) | (~v215(constB107)) | v254(constB107)))),
% 73.98/46.87 inference(monotonicity,[status(thm)],[28604])).
% 73.98/46.87 tff(28606,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB107, bitIndex2) | v254(constB107) | (~v215(constB107)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB107, bitIndex2) | (~v215(constB107)) | v254(constB107))),
% 73.98/46.87 inference(transitivity,[status(thm)],[28605, 28603])).
% 73.98/46.87 tff(28607,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB107, bitIndex2) | v254(constB107) | (~v215(constB107)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28608,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB107, bitIndex2) | (~v215(constB107)) | v254(constB107)),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28607, 28606])).
% 73.98/46.87 tff(28609,plain,
% 73.98/46.87 ((~v215(constB107)) | v254(constB107)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28608, 6578, 28602])).
% 73.98/46.87 tff(28610,plain,
% 73.98/46.87 (~v215(constB107)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28609, 28581])).
% 73.98/46.87 tff(28611,plain,
% 73.98/46.87 ($false),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28610, 28433])).
% 73.98/46.87 tff(28612,plain,(~(constB107 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 73.98/46.87 tff(28613,assumption,(constB15 = sK0_VarCurr), introduced(assumption)).
% 73.98/46.87 tff(28614,plain,
% 73.98/46.87 (v215(constB15) <=> v215(sK0_VarCurr)),
% 73.98/46.87 inference(monotonicity,[status(thm)],[28613])).
% 73.98/46.87 tff(28615,plain,
% 73.98/46.87 (v215(sK0_VarCurr) <=> v215(constB15)),
% 73.98/46.87 inference(symmetry,[status(thm)],[28614])).
% 73.98/46.87 tff(28616,plain,
% 73.98/46.87 (v215(constB15)),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28, 28615])).
% 73.98/46.87 tff(28617,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB15, bitIndex2) | (~v88(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB15, bitIndex2) | (~v88(constB15, bitIndex2)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28618,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB15, bitIndex2) | (~v88(constB15, bitIndex2)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28619,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB15, bitIndex2) | (~v88(constB15, bitIndex2))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28618, 28617])).
% 73.98/46.87 tff(28620,plain,
% 73.98/46.87 (~v88(constB15, bitIndex2)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28619, 20913, 2136])).
% 73.98/46.87 tff(28621,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB15, bitIndex1) | (~v88(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB15, bitIndex1) | (~v88(constB15, bitIndex1)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28622,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB15, bitIndex1) | (~v88(constB15, bitIndex1)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28623,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB15, bitIndex1) | (~v88(constB15, bitIndex1))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28622, 28621])).
% 73.98/46.87 tff(28624,plain,
% 73.98/46.87 (~v88(constB15, bitIndex1)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28623, 6234, 2182])).
% 73.98/46.87 tff(28625,plain,
% 73.98/46.87 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB15, bitIndex0)) | v88(constB15, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB15, bitIndex0)) | v88(constB15, bitIndex0))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28626,plain,
% 73.98/46.87 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB15, bitIndex0)) | v88(constB15, bitIndex0))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28627,plain,
% 73.98/46.87 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB15, bitIndex0)) | v88(constB15, bitIndex0)),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28626, 28625])).
% 73.98/46.87 tff(28628,plain,
% 73.98/46.87 (v88(constB15, bitIndex0)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28627, 6074, 2225])).
% 73.98/46.87 tff(28629,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB15, bitIndex2) | v88(constB15, bitIndex1) | (~v88(constB15, bitIndex0)) | v140(constB15))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB15, bitIndex2) | v88(constB15, bitIndex1) | (~v88(constB15, bitIndex0)) | v140(constB15))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28630,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB15, bitIndex2) | v88(constB15, bitIndex1) | (~v88(constB15, bitIndex0)) | v140(constB15))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28631,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB15, bitIndex2) | v88(constB15, bitIndex1) | (~v88(constB15, bitIndex0)) | v140(constB15)),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28630, 28629])).
% 73.98/46.87 tff(28632,plain,
% 73.98/46.87 (v140(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28631, 27506, 28628, 28624, 28620])).
% 73.98/46.87 tff(28633,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB15) | (~v140(constB15)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB15) | (~v140(constB15)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28634,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB15) | (~v140(constB15)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28635,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB15) | (~v140(constB15))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28634, 28633])).
% 73.98/46.87 tff(28636,plain,
% 73.98/46.87 (v200(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28635, 27520, 28632])).
% 73.98/46.87 tff(28637,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB15) | (~v200(constB15)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB15) | (~v200(constB15)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28638,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB15) | (~v200(constB15)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28639,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB15) | (~v200(constB15))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28638, 28637])).
% 73.98/46.87 tff(28640,plain,
% 73.98/46.87 (v199(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28639, 27531, 28636])).
% 73.98/46.87 tff(28641,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB15) | (~v199(constB15)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB15) | (~v199(constB15)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28642,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB15) | (~v199(constB15)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28643,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB15) | (~v199(constB15))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28642, 28641])).
% 73.98/46.87 tff(28644,plain,
% 73.98/46.87 (v198(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28643, 20970, 28640])).
% 73.98/46.87 tff(28645,plain,
% 73.98/46.87 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB15)) | (~v201(constB15)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB15)) | (~v201(constB15)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28646,plain,
% 73.98/46.87 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB15)) | (~v201(constB15)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28647,plain,
% 73.98/46.87 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB15)) | (~v201(constB15))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28646, 28645])).
% 73.98/46.87 tff(28648,plain,
% 73.98/46.87 (~v201(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28647, 20984, 28644])).
% 73.98/46.87 tff(28649,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB15) | (~v198(constB15)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB15) | (~v198(constB15)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28650,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB15) | (~v198(constB15)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28651,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB15) | (~v198(constB15))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28650, 28649])).
% 73.98/46.87 tff(28652,plain,
% 73.98/46.87 (v197(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28651, 20995, 28644])).
% 73.98/46.87 tff(28653,plain,
% 73.98/46.87 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB15) | (~v197(constB15)) | v201(constB15))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB15) | (~v197(constB15)) | v201(constB15))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28654,plain,
% 73.98/46.87 (((~v197(constB15)) | v201(constB15) | v227(constB15)) <=> (v227(constB15) | (~v197(constB15)) | v201(constB15))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28655,plain,
% 73.98/46.87 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB15)) | v201(constB15) | v227(constB15))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB15) | (~v197(constB15)) | v201(constB15)))),
% 73.98/46.87 inference(monotonicity,[status(thm)],[28654])).
% 73.98/46.87 tff(28656,plain,
% 73.98/46.87 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB15)) | v201(constB15) | v227(constB15))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB15) | (~v197(constB15)) | v201(constB15))),
% 73.98/46.87 inference(transitivity,[status(thm)],[28655, 28653])).
% 73.98/46.87 tff(28657,plain,
% 73.98/46.87 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB15)) | v201(constB15) | v227(constB15))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28658,plain,
% 73.98/46.87 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB15) | (~v197(constB15)) | v201(constB15)),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28657, 28656])).
% 73.98/46.87 tff(28659,plain,
% 73.98/46.87 (v227(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28658, 21009, 28652, 28648])).
% 73.98/46.87 tff(28660,plain,
% 73.98/46.87 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB15)) | (~v223(constB15, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB15)) | (~v223(constB15, bitIndex0)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28661,plain,
% 73.98/46.87 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB15)) | (~v223(constB15, bitIndex0)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28662,plain,
% 73.98/46.87 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB15)) | (~v223(constB15, bitIndex0))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28661, 28660])).
% 73.98/46.87 tff(28663,plain,
% 73.98/46.87 (~v223(constB15, bitIndex0)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28662, 21023, 28659])).
% 73.98/46.87 tff(28664,plain,
% 73.98/46.87 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB15)) | (~v199(constB15)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB15)) | (~v199(constB15)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28665,plain,
% 73.98/46.87 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB15)) | (~v199(constB15)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28666,plain,
% 73.98/46.87 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB15)) | (~v199(constB15))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28665, 28664])).
% 73.98/46.87 tff(28667,plain,
% 73.98/46.87 (~v183(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28666, 21034, 28640])).
% 73.98/46.87 tff(28668,plain,
% 73.98/46.87 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB15) | (~v197(constB15)) | v183(constB15))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB15) | (~v197(constB15)) | v183(constB15))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28669,plain,
% 73.98/46.87 (((~v197(constB15)) | v183(constB15) | v228(constB15)) <=> (v228(constB15) | (~v197(constB15)) | v183(constB15))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28670,plain,
% 73.98/46.87 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB15)) | v183(constB15) | v228(constB15))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB15) | (~v197(constB15)) | v183(constB15)))),
% 73.98/46.87 inference(monotonicity,[status(thm)],[28669])).
% 73.98/46.87 tff(28671,plain,
% 73.98/46.87 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB15)) | v183(constB15) | v228(constB15))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB15) | (~v197(constB15)) | v183(constB15))),
% 73.98/46.87 inference(transitivity,[status(thm)],[28670, 28668])).
% 73.98/46.87 tff(28672,plain,
% 73.98/46.87 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB15)) | v183(constB15) | v228(constB15))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28673,plain,
% 73.98/46.87 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB15) | (~v197(constB15)) | v183(constB15)),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28672, 28671])).
% 73.98/46.87 tff(28674,plain,
% 73.98/46.87 (v228(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28673, 6287, 28652, 28667])).
% 73.98/46.87 tff(28675,plain,
% 73.98/46.87 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB15)) | (~v223(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB15)) | (~v223(constB15, bitIndex1)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28676,plain,
% 73.98/46.87 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB15)) | (~v223(constB15, bitIndex1)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28677,plain,
% 73.98/46.87 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB15)) | (~v223(constB15, bitIndex1))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28676, 28675])).
% 73.98/46.87 tff(28678,plain,
% 73.98/46.87 (~v223(constB15, bitIndex1)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28677, 6301, 28674])).
% 73.98/46.87 tff(28679,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB15, bitIndex1) | v223(constB15, bitIndex0) | (~v229(constB15)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB15, bitIndex1) | v223(constB15, bitIndex0) | (~v229(constB15)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28680,plain,
% 73.98/46.87 ((v223(constB15, bitIndex0) | v223(constB15, bitIndex1) | (~v229(constB15))) <=> (v223(constB15, bitIndex1) | v223(constB15, bitIndex0) | (~v229(constB15)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28681,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB15, bitIndex0) | v223(constB15, bitIndex1) | (~v229(constB15)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB15, bitIndex1) | v223(constB15, bitIndex0) | (~v229(constB15))))),
% 73.98/46.87 inference(monotonicity,[status(thm)],[28680])).
% 73.98/46.87 tff(28682,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB15, bitIndex0) | v223(constB15, bitIndex1) | (~v229(constB15)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB15, bitIndex1) | v223(constB15, bitIndex0) | (~v229(constB15)))),
% 73.98/46.87 inference(transitivity,[status(thm)],[28681, 28679])).
% 73.98/46.87 tff(28683,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB15, bitIndex0) | v223(constB15, bitIndex1) | (~v229(constB15)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28684,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB15, bitIndex1) | v223(constB15, bitIndex0) | (~v229(constB15))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28683, 28682])).
% 73.98/46.87 tff(28685,plain,
% 73.98/46.87 (~v229(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28684, 21059, 28678, 28663])).
% 73.98/46.87 tff(28686,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB15) | (~v225(constB15)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB15) | (~v225(constB15)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28687,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB15) | (~v225(constB15)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28688,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB15) | (~v225(constB15))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28687, 28686])).
% 73.98/46.87 tff(28689,plain,
% 73.98/46.87 (~v225(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28688, 21073, 28685])).
% 73.98/46.87 tff(28690,plain,
% 73.98/46.87 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB15)) | (~v200(constB15)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB15)) | (~v200(constB15)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28691,plain,
% 73.98/46.87 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB15)) | (~v200(constB15)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28692,plain,
% 73.98/46.87 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB15)) | (~v200(constB15))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28691, 28690])).
% 73.98/46.87 tff(28693,plain,
% 73.98/46.87 (~v166(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28692, 27591, 28636])).
% 73.98/46.87 tff(28694,plain,
% 73.98/46.87 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB15) | (~v197(constB15)) | v166(constB15))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB15) | (~v197(constB15)) | v166(constB15))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28695,plain,
% 73.98/46.87 (((~v197(constB15)) | v166(constB15) | v241(constB15)) <=> (v241(constB15) | (~v197(constB15)) | v166(constB15))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28696,plain,
% 73.98/46.87 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB15)) | v166(constB15) | v241(constB15))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB15) | (~v197(constB15)) | v166(constB15)))),
% 73.98/46.87 inference(monotonicity,[status(thm)],[28695])).
% 73.98/46.87 tff(28697,plain,
% 73.98/46.87 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB15)) | v166(constB15) | v241(constB15))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB15) | (~v197(constB15)) | v166(constB15))),
% 73.98/46.87 inference(transitivity,[status(thm)],[28696, 28694])).
% 73.98/46.87 tff(28698,plain,
% 73.98/46.87 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB15)) | v166(constB15) | v241(constB15))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28699,plain,
% 73.98/46.87 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB15) | (~v197(constB15)) | v166(constB15)),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28698, 28697])).
% 73.98/46.87 tff(28700,plain,
% 73.98/46.87 (v241(constB15) | (~v197(constB15))),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28699, 6343, 28693])).
% 73.98/46.87 tff(28701,plain,
% 73.98/46.87 (v241(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28700, 28652])).
% 73.98/46.87 tff(28702,plain,
% 73.98/46.87 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB15)) | (~v223(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB15)) | (~v223(constB15, bitIndex2)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28703,plain,
% 73.98/46.87 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB15)) | (~v223(constB15, bitIndex2)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28704,plain,
% 73.98/46.87 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB15)) | (~v223(constB15, bitIndex2))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28703, 28702])).
% 73.98/46.87 tff(28705,plain,
% 73.98/46.87 (~v223(constB15, bitIndex2)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28704, 6357, 28701])).
% 73.98/46.87 tff(28706,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB15) | v223(constB15, bitIndex2) | (~v242(constB15)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB15) | v223(constB15, bitIndex2) | (~v242(constB15)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28707,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB15) | v223(constB15, bitIndex2) | (~v242(constB15)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28708,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB15) | v223(constB15, bitIndex2) | (~v242(constB15))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28707, 28706])).
% 73.98/46.87 tff(28709,plain,
% 73.98/46.87 (v225(constB15) | (~v242(constB15))),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28708, 27617, 28705])).
% 73.98/46.87 tff(28710,plain,
% 73.98/46.87 (~v242(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28709, 28689])).
% 73.98/46.87 tff(28711,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB15) | (~v238(constB15)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB15) | (~v238(constB15)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28712,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB15) | (~v238(constB15)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28713,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB15) | (~v238(constB15))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28712, 28711])).
% 73.98/46.87 tff(28714,plain,
% 73.98/46.87 (~v238(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28713, 27632, 28710])).
% 73.98/46.87 tff(28715,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB15) | (~v237(constB15)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB15) | (~v237(constB15)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28716,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB15) | (~v237(constB15)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28717,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB15) | (~v237(constB15))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28716, 28715])).
% 73.98/46.87 tff(28718,plain,
% 73.98/46.87 (~v237(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28717, 27643, 28714])).
% 73.98/46.87 tff(28719,plain,
% 73.98/46.87 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB15)) | v223(constB15, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB15)) | v223(constB15, bitIndex2))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28720,plain,
% 73.98/46.87 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB15)) | v223(constB15, bitIndex2))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28721,plain,
% 73.98/46.87 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB15)) | v223(constB15, bitIndex2)),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28720, 28719])).
% 73.98/46.87 tff(28722,plain,
% 73.98/46.87 (~v224(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28721, 6371, 28705])).
% 73.98/46.87 tff(28723,plain,
% 73.98/46.87 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB15)) | v223(constB15, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB15)) | v223(constB15, bitIndex1))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28724,plain,
% 73.98/46.87 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB15)) | v223(constB15, bitIndex1))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28725,plain,
% 73.98/46.87 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB15)) | v223(constB15, bitIndex1)),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28724, 28723])).
% 73.98/46.87 tff(28726,plain,
% 73.98/46.87 (~v222(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28725, 6315, 28678])).
% 73.98/46.87 tff(28727,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB15) | v224(constB15) | (~v236(constB15)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB15) | v224(constB15) | (~v236(constB15)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28728,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB15) | v224(constB15) | (~v236(constB15)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28729,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB15) | v224(constB15) | (~v236(constB15))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28728, 28727])).
% 73.98/46.87 tff(28730,plain,
% 73.98/46.87 (~v236(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28729, 6385, 28726, 28722])).
% 73.98/46.87 tff(28731,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB15) | (~v232(constB15)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB15) | (~v232(constB15)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28732,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB15) | (~v232(constB15)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28733,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB15) | (~v232(constB15))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28732, 28731])).
% 73.98/46.87 tff(28734,plain,
% 73.98/46.87 (~v232(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28733, 6396, 28730])).
% 73.98/46.87 tff(28735,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v232(constB15) | v237(constB15) | (~v248(constB15)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB15) | v237(constB15) | (~v248(constB15)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28736,plain,
% 73.98/46.87 ((v237(constB15) | v232(constB15) | (~v248(constB15))) <=> (v232(constB15) | v237(constB15) | (~v248(constB15)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28737,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB15) | v232(constB15) | (~v248(constB15)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v232(constB15) | v237(constB15) | (~v248(constB15))))),
% 73.98/46.87 inference(monotonicity,[status(thm)],[28736])).
% 73.98/46.87 tff(28738,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB15) | v232(constB15) | (~v248(constB15)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB15) | v237(constB15) | (~v248(constB15)))),
% 73.98/46.87 inference(transitivity,[status(thm)],[28737, 28735])).
% 73.98/46.87 tff(28739,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB15) | v232(constB15) | (~v248(constB15)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28740,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB15) | v237(constB15) | (~v248(constB15))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28739, 28738])).
% 73.98/46.87 tff(28741,plain,
% 73.98/46.87 (v237(constB15) | (~v248(constB15))),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28740, 6469, 28734])).
% 73.98/46.87 tff(28742,plain,
% 73.98/46.87 (~v248(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28741, 28718])).
% 73.98/46.87 tff(28743,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB15) | (~v244(constB15)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB15) | (~v244(constB15)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28744,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB15) | (~v244(constB15)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28745,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB15) | (~v244(constB15))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28744, 28743])).
% 73.98/46.87 tff(28746,plain,
% 73.98/46.87 (~v244(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28745, 6484, 28742])).
% 73.98/46.87 tff(28747,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB15) | (~v216(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB15) | (~v216(constB15, bitIndex1)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28748,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB15) | (~v216(constB15, bitIndex1)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28749,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB15) | (~v216(constB15, bitIndex1))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28748, 28747])).
% 73.98/46.87 tff(28750,plain,
% 73.98/46.87 (~v216(constB15, bitIndex1)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28749, 6495, 28746])).
% 73.98/46.87 tff(28751,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB15, bitIndex1) | (~v254(constB15)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB15, bitIndex1) | (~v254(constB15)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28752,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB15, bitIndex1) | (~v254(constB15)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28753,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB15, bitIndex1) | (~v254(constB15))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28752, 28751])).
% 73.98/46.87 tff(28754,plain,
% 73.98/46.87 (~v254(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28753, 6506, 28750])).
% 73.98/46.87 tff(28755,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB15) | (~v231(constB15)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB15) | (~v231(constB15)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28756,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB15) | (~v231(constB15)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28757,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB15) | (~v231(constB15))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28756, 28755])).
% 73.98/46.87 tff(28758,plain,
% 73.98/46.87 (~v231(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28757, 27687, 28734])).
% 73.98/46.87 tff(28759,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB15) | (~v221(constB15)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB15) | (~v221(constB15)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28760,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB15) | (~v221(constB15)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28761,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB15) | (~v221(constB15))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28760, 28759])).
% 73.98/46.87 tff(28762,plain,
% 73.98/46.87 (~v221(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28761, 21170, 28726])).
% 73.98/46.87 tff(28763,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB15) | v231(constB15) | (~v243(constB15)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB15) | v231(constB15) | (~v243(constB15)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28764,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB15) | v231(constB15) | (~v243(constB15)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28765,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB15) | v231(constB15) | (~v243(constB15))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28764, 28763])).
% 73.98/46.87 tff(28766,plain,
% 73.98/46.87 (v231(constB15) | (~v243(constB15))),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28765, 6542, 28762])).
% 73.98/46.87 tff(28767,plain,
% 73.98/46.87 (~v243(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28766, 28758])).
% 73.98/46.87 tff(28768,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB15) | v255(constB15))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB15) | v255(constB15))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28769,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB15) | v255(constB15))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28770,plain,
% 73.98/46.87 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB15) | v255(constB15)),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28769, 28768])).
% 73.98/46.87 tff(28771,plain,
% 73.98/46.87 (v255(constB15)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28770, 6553, 28767])).
% 73.98/46.87 tff(28772,plain,
% 73.98/46.87 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB15)) | (~v216(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB15)) | (~v216(constB15, bitIndex2)))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28773,plain,
% 73.98/46.87 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB15)) | (~v216(constB15, bitIndex2)))),
% 73.98/46.87 inference(quant_inst,[status(thm)],[])).
% 73.98/46.87 tff(28774,plain,
% 73.98/46.87 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB15)) | (~v216(constB15, bitIndex2))),
% 73.98/46.87 inference(modus_ponens,[status(thm)],[28773, 28772])).
% 73.98/46.87 tff(28775,plain,
% 73.98/46.87 (~v216(constB15, bitIndex2)),
% 73.98/46.87 inference(unit_resolution,[status(thm)],[28774, 6564, 28771])).
% 73.98/46.87 tff(28776,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB15)) | v254(constB15) | v216(constB15, bitIndex2))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB15)) | v254(constB15) | v216(constB15, bitIndex2))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28777,plain,
% 73.98/46.87 ((v216(constB15, bitIndex2) | v254(constB15) | (~v215(constB15))) <=> ((~v215(constB15)) | v254(constB15) | v216(constB15, bitIndex2))),
% 73.98/46.87 inference(rewrite,[status(thm)],[])).
% 73.98/46.87 tff(28778,plain,
% 73.98/46.87 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB15, bitIndex2) | v254(constB15) | (~v215(constB15)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB15)) | v254(constB15) | v216(constB15, bitIndex2)))),
% 73.98/46.88 inference(monotonicity,[status(thm)],[28777])).
% 73.98/46.88 tff(28779,plain,
% 73.98/46.88 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB15, bitIndex2) | v254(constB15) | (~v215(constB15)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB15)) | v254(constB15) | v216(constB15, bitIndex2))),
% 73.98/46.88 inference(transitivity,[status(thm)],[28778, 28776])).
% 73.98/46.88 tff(28780,plain,
% 73.98/46.88 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB15, bitIndex2) | v254(constB15) | (~v215(constB15)))),
% 73.98/46.88 inference(quant_inst,[status(thm)],[])).
% 73.98/46.88 tff(28781,plain,
% 73.98/46.88 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB15)) | v254(constB15) | v216(constB15, bitIndex2)),
% 73.98/46.88 inference(modus_ponens,[status(thm)],[28780, 28779])).
% 74.05/46.88 tff(28782,plain,
% 74.05/46.88 ((~v215(constB15)) | v254(constB15)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28781, 6578, 28775])).
% 74.05/46.88 tff(28783,plain,
% 74.05/46.88 (~v215(constB15)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28782, 28754])).
% 74.05/46.88 tff(28784,plain,
% 74.05/46.88 ($false),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28783, 28616])).
% 74.05/46.88 tff(28785,plain,(~(constB15 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.05/46.88 tff(28786,assumption,(constB7 = sK0_VarCurr), introduced(assumption)).
% 74.05/46.88 tff(28787,plain,
% 74.05/46.88 (v215(constB7) <=> v215(sK0_VarCurr)),
% 74.05/46.88 inference(monotonicity,[status(thm)],[28786])).
% 74.05/46.88 tff(28788,plain,
% 74.05/46.88 (v215(sK0_VarCurr) <=> v215(constB7)),
% 74.05/46.88 inference(symmetry,[status(thm)],[28787])).
% 74.05/46.88 tff(28789,plain,
% 74.05/46.88 (v215(constB7)),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28, 28788])).
% 74.05/46.88 tff(28790,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB7, bitIndex2) | (~v88(constB7, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB7, bitIndex2) | (~v88(constB7, bitIndex2)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28791,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB7, bitIndex2) | (~v88(constB7, bitIndex2)))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28792,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB7, bitIndex2) | (~v88(constB7, bitIndex2))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28791, 28790])).
% 74.05/46.88 tff(28793,plain,
% 74.05/46.88 (~v88(constB7, bitIndex2)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28792, 20913, 1111])).
% 74.05/46.88 tff(28794,plain,
% 74.05/46.88 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB7, bitIndex1)) | v88(constB7, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB7, bitIndex1)) | v88(constB7, bitIndex1))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28795,plain,
% 74.05/46.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB7, bitIndex1)) | v88(constB7, bitIndex1))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28796,plain,
% 74.05/46.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB7, bitIndex1)) | v88(constB7, bitIndex1)),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28795, 28794])).
% 74.05/46.88 tff(28797,plain,
% 74.05/46.88 (v88(constB7, bitIndex1)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28796, 20927, 1152])).
% 74.05/46.88 tff(28798,plain,
% 74.05/46.88 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB7, bitIndex0)) | v88(constB7, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB7, bitIndex0)) | v88(constB7, bitIndex0))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28799,plain,
% 74.05/46.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB7, bitIndex0)) | v88(constB7, bitIndex0))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28800,plain,
% 74.05/46.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB7, bitIndex0)) | v88(constB7, bitIndex0)),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28799, 28798])).
% 74.05/46.88 tff(28801,plain,
% 74.05/46.88 (v88(constB7, bitIndex0)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28800, 6074, 1193])).
% 74.05/46.88 tff(28802,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB7, bitIndex1)) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)) | v141(constB7))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB7, bitIndex1)) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)) | v141(constB7))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28803,plain,
% 74.05/46.88 ((v88(constB7, bitIndex2) | (~v88(constB7, bitIndex1)) | (~v88(constB7, bitIndex0)) | v141(constB7)) <=> ((~v88(constB7, bitIndex1)) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)) | v141(constB7))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28804,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB7, bitIndex2) | (~v88(constB7, bitIndex1)) | (~v88(constB7, bitIndex0)) | v141(constB7))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB7, bitIndex1)) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)) | v141(constB7)))),
% 74.05/46.88 inference(monotonicity,[status(thm)],[28803])).
% 74.05/46.88 tff(28805,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB7, bitIndex2) | (~v88(constB7, bitIndex1)) | (~v88(constB7, bitIndex0)) | v141(constB7))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB7, bitIndex1)) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)) | v141(constB7))),
% 74.05/46.88 inference(transitivity,[status(thm)],[28804, 28802])).
% 74.05/46.88 tff(28806,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB7, bitIndex2) | (~v88(constB7, bitIndex1)) | (~v88(constB7, bitIndex0)) | v141(constB7))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28807,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB7, bitIndex1)) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)) | v141(constB7)),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28806, 28805])).
% 74.05/46.88 tff(28808,plain,
% 74.05/46.88 (v141(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28807, 20945, 28801, 28797, 28793])).
% 74.05/46.88 tff(28809,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB7) | (~v141(constB7)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB7) | (~v141(constB7)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28810,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB7) | (~v141(constB7)))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28811,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB7) | (~v141(constB7))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28810, 28809])).
% 74.05/46.88 tff(28812,plain,
% 74.05/46.88 (v199(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28811, 20959, 28808])).
% 74.05/46.88 tff(28813,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB7) | (~v199(constB7)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB7) | (~v199(constB7)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28814,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB7) | (~v199(constB7)))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28815,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB7) | (~v199(constB7))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28814, 28813])).
% 74.05/46.88 tff(28816,plain,
% 74.05/46.88 (v198(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28815, 20970, 28812])).
% 74.05/46.88 tff(28817,plain,
% 74.05/46.88 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB7)) | (~v201(constB7)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB7)) | (~v201(constB7)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28818,plain,
% 74.05/46.88 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB7)) | (~v201(constB7)))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28819,plain,
% 74.05/46.88 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB7)) | (~v201(constB7))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28818, 28817])).
% 74.05/46.88 tff(28820,plain,
% 74.05/46.88 (~v201(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28819, 20984, 28816])).
% 74.05/46.88 tff(28821,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB7) | (~v198(constB7)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB7) | (~v198(constB7)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28822,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB7) | (~v198(constB7)))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28823,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB7) | (~v198(constB7))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28822, 28821])).
% 74.05/46.88 tff(28824,plain,
% 74.05/46.88 (v197(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28823, 20995, 28816])).
% 74.05/46.88 tff(28825,plain,
% 74.05/46.88 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB7) | (~v197(constB7)) | v201(constB7))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB7) | (~v197(constB7)) | v201(constB7))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28826,plain,
% 74.05/46.88 (((~v197(constB7)) | v201(constB7) | v227(constB7)) <=> (v227(constB7) | (~v197(constB7)) | v201(constB7))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28827,plain,
% 74.05/46.88 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB7)) | v201(constB7) | v227(constB7))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB7) | (~v197(constB7)) | v201(constB7)))),
% 74.05/46.88 inference(monotonicity,[status(thm)],[28826])).
% 74.05/46.88 tff(28828,plain,
% 74.05/46.88 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB7)) | v201(constB7) | v227(constB7))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB7) | (~v197(constB7)) | v201(constB7))),
% 74.05/46.88 inference(transitivity,[status(thm)],[28827, 28825])).
% 74.05/46.88 tff(28829,plain,
% 74.05/46.88 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB7)) | v201(constB7) | v227(constB7))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28830,plain,
% 74.05/46.88 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB7) | (~v197(constB7)) | v201(constB7)),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28829, 28828])).
% 74.05/46.88 tff(28831,plain,
% 74.05/46.88 (v227(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28830, 21009, 28824, 28820])).
% 74.05/46.88 tff(28832,plain,
% 74.05/46.88 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB7)) | (~v223(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB7)) | (~v223(constB7, bitIndex0)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28833,plain,
% 74.05/46.88 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB7)) | (~v223(constB7, bitIndex0)))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28834,plain,
% 74.05/46.88 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB7)) | (~v223(constB7, bitIndex0))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28833, 28832])).
% 74.05/46.88 tff(28835,plain,
% 74.05/46.88 (~v223(constB7, bitIndex0)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28834, 21023, 28831])).
% 74.05/46.88 tff(28836,plain,
% 74.05/46.88 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB7)) | (~v199(constB7)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB7)) | (~v199(constB7)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28837,plain,
% 74.05/46.88 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB7)) | (~v199(constB7)))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28838,plain,
% 74.05/46.88 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB7)) | (~v199(constB7))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28837, 28836])).
% 74.05/46.88 tff(28839,plain,
% 74.05/46.88 (~v183(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28838, 21034, 28812])).
% 74.05/46.88 tff(28840,plain,
% 74.05/46.88 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB7) | v183(constB7) | (~v197(constB7)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB7) | v183(constB7) | (~v197(constB7)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28841,plain,
% 74.05/46.88 (((~v197(constB7)) | v183(constB7) | v228(constB7)) <=> (v228(constB7) | v183(constB7) | (~v197(constB7)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28842,plain,
% 74.05/46.88 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB7)) | v183(constB7) | v228(constB7))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB7) | v183(constB7) | (~v197(constB7))))),
% 74.05/46.88 inference(monotonicity,[status(thm)],[28841])).
% 74.05/46.88 tff(28843,plain,
% 74.05/46.88 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB7)) | v183(constB7) | v228(constB7))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB7) | v183(constB7) | (~v197(constB7)))),
% 74.05/46.88 inference(transitivity,[status(thm)],[28842, 28840])).
% 74.05/46.88 tff(28844,plain,
% 74.05/46.88 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB7)) | v183(constB7) | v228(constB7))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28845,plain,
% 74.05/46.88 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB7) | v183(constB7) | (~v197(constB7))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28844, 28843])).
% 74.05/46.88 tff(28846,plain,
% 74.05/46.88 (v228(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28845, 6287, 28824, 28839])).
% 74.05/46.88 tff(28847,plain,
% 74.05/46.88 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB7)) | (~v223(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB7)) | (~v223(constB7, bitIndex1)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28848,plain,
% 74.05/46.88 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB7)) | (~v223(constB7, bitIndex1)))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28849,plain,
% 74.05/46.88 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB7)) | (~v223(constB7, bitIndex1))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28848, 28847])).
% 74.05/46.88 tff(28850,plain,
% 74.05/46.88 (~v223(constB7, bitIndex1)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28849, 6301, 28846])).
% 74.05/46.88 tff(28851,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB7, bitIndex1) | v223(constB7, bitIndex0) | (~v229(constB7)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB7, bitIndex1) | v223(constB7, bitIndex0) | (~v229(constB7)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28852,plain,
% 74.05/46.88 ((v223(constB7, bitIndex0) | v223(constB7, bitIndex1) | (~v229(constB7))) <=> (v223(constB7, bitIndex1) | v223(constB7, bitIndex0) | (~v229(constB7)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28853,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB7, bitIndex0) | v223(constB7, bitIndex1) | (~v229(constB7)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB7, bitIndex1) | v223(constB7, bitIndex0) | (~v229(constB7))))),
% 74.05/46.88 inference(monotonicity,[status(thm)],[28852])).
% 74.05/46.88 tff(28854,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB7, bitIndex0) | v223(constB7, bitIndex1) | (~v229(constB7)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB7, bitIndex1) | v223(constB7, bitIndex0) | (~v229(constB7)))),
% 74.05/46.88 inference(transitivity,[status(thm)],[28853, 28851])).
% 74.05/46.88 tff(28855,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB7, bitIndex0) | v223(constB7, bitIndex1) | (~v229(constB7)))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28856,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB7, bitIndex1) | v223(constB7, bitIndex0) | (~v229(constB7))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28855, 28854])).
% 74.05/46.88 tff(28857,plain,
% 74.05/46.88 (~v229(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28856, 21059, 28850, 28835])).
% 74.05/46.88 tff(28858,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB7) | (~v225(constB7)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB7) | (~v225(constB7)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28859,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB7) | (~v225(constB7)))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28860,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB7) | (~v225(constB7))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28859, 28858])).
% 74.05/46.88 tff(28861,plain,
% 74.05/46.88 (~v225(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28860, 21073, 28857])).
% 74.05/46.88 tff(28862,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB7) | (~v224(constB7)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB7) | (~v224(constB7)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28863,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB7) | (~v224(constB7)))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28864,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB7) | (~v224(constB7))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28863, 28862])).
% 74.05/46.88 tff(28865,plain,
% 74.05/46.88 (~v224(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28864, 21084, 28861])).
% 74.05/46.88 tff(28866,plain,
% 74.05/46.88 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB7)) | v223(constB7, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB7)) | v223(constB7, bitIndex1))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28867,plain,
% 74.05/46.88 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB7)) | v223(constB7, bitIndex1))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28868,plain,
% 74.05/46.88 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB7)) | v223(constB7, bitIndex1)),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28867, 28866])).
% 74.05/46.88 tff(28869,plain,
% 74.05/46.88 (~v222(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28868, 6315, 28850])).
% 74.05/46.88 tff(28870,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB7) | v224(constB7) | (~v236(constB7)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB7) | v224(constB7) | (~v236(constB7)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28871,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB7) | v224(constB7) | (~v236(constB7)))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28872,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB7) | v224(constB7) | (~v236(constB7))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28871, 28870])).
% 74.05/46.88 tff(28873,plain,
% 74.05/46.88 (v224(constB7) | (~v236(constB7))),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28872, 6385, 28869])).
% 74.05/46.88 tff(28874,plain,
% 74.05/46.88 (~v236(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28873, 28865])).
% 74.05/46.88 tff(28875,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB7) | (~v232(constB7)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB7) | (~v232(constB7)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28876,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB7) | (~v232(constB7)))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28877,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB7) | (~v232(constB7))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28876, 28875])).
% 74.05/46.88 tff(28878,plain,
% 74.05/46.88 (~v232(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28877, 6396, 28874])).
% 74.05/46.88 tff(28879,plain,
% 74.05/46.88 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB7, bitIndex1)) | (~v140(constB7)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB7, bitIndex1)) | (~v140(constB7)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28880,plain,
% 74.05/46.88 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB7, bitIndex1)) | (~v140(constB7)))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28881,plain,
% 74.05/46.88 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB7, bitIndex1)) | (~v140(constB7))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28880, 28879])).
% 74.05/46.88 tff(28882,plain,
% 74.05/46.88 (~v140(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28881, 21108, 28797])).
% 74.05/46.88 tff(28883,plain,
% 74.05/46.88 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB7, bitIndex0)) | (~v139(constB7)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB7, bitIndex0)) | (~v139(constB7)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28884,plain,
% 74.05/46.88 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB7, bitIndex0)) | (~v139(constB7)))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28885,plain,
% 74.05/46.88 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB7, bitIndex0)) | (~v139(constB7))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28884, 28883])).
% 74.05/46.88 tff(28886,plain,
% 74.05/46.88 (~v139(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28885, 6085, 28801])).
% 74.05/46.88 tff(28887,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB7) | v139(constB7) | (~v148(constB7)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB7) | v139(constB7) | (~v148(constB7)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28888,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB7) | v139(constB7) | (~v148(constB7)))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28889,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB7) | v139(constB7) | (~v148(constB7))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28888, 28887])).
% 74.05/46.88 tff(28890,plain,
% 74.05/46.88 (~v148(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28889, 6410, 28886, 28882])).
% 74.05/46.88 tff(28891,plain,
% 74.05/46.88 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB7) | v148(constB7) | (~v197(constB7)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB7) | v148(constB7) | (~v197(constB7)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28892,plain,
% 74.05/46.88 ((v148(constB7) | (~v197(constB7)) | v252(constB7)) <=> (v252(constB7) | v148(constB7) | (~v197(constB7)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28893,plain,
% 74.05/46.88 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB7) | (~v197(constB7)) | v252(constB7))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB7) | v148(constB7) | (~v197(constB7))))),
% 74.05/46.88 inference(monotonicity,[status(thm)],[28892])).
% 74.05/46.88 tff(28894,plain,
% 74.05/46.88 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB7) | (~v197(constB7)) | v252(constB7))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB7) | v148(constB7) | (~v197(constB7)))),
% 74.05/46.88 inference(transitivity,[status(thm)],[28893, 28891])).
% 74.05/46.88 tff(28895,plain,
% 74.05/46.88 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB7) | (~v197(constB7)) | v252(constB7))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28896,plain,
% 74.05/46.88 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB7) | v148(constB7) | (~v197(constB7))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28895, 28894])).
% 74.05/46.88 tff(28897,plain,
% 74.05/46.88 (v252(constB7) | (~v197(constB7))),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28896, 6427, 28890])).
% 74.05/46.88 tff(28898,plain,
% 74.05/46.88 (v252(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28897, 28824])).
% 74.05/46.88 tff(28899,plain,
% 74.05/46.88 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB7)) | (~v223(constB7, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB7)) | (~v223(constB7, bitIndex3)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28900,plain,
% 74.05/46.88 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB7)) | (~v223(constB7, bitIndex3)))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28901,plain,
% 74.05/46.88 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB7)) | (~v223(constB7, bitIndex3))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28900, 28899])).
% 74.05/46.88 tff(28902,plain,
% 74.05/46.88 (~v223(constB7, bitIndex3)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28901, 6441, 28898])).
% 74.05/46.88 tff(28903,plain,
% 74.05/46.88 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB7)) | v223(constB7, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB7)) | v223(constB7, bitIndex3))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28904,plain,
% 74.05/46.88 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB7)) | v223(constB7, bitIndex3))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28905,plain,
% 74.05/46.88 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB7)) | v223(constB7, bitIndex3)),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28904, 28903])).
% 74.05/46.88 tff(28906,plain,
% 74.05/46.88 (~v237(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28905, 6455, 28902])).
% 74.05/46.88 tff(28907,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB7) | v232(constB7) | (~v248(constB7)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB7) | v232(constB7) | (~v248(constB7)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28908,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB7) | v232(constB7) | (~v248(constB7)))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28909,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB7) | v232(constB7) | (~v248(constB7))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28908, 28907])).
% 74.05/46.88 tff(28910,plain,
% 74.05/46.88 (v232(constB7) | (~v248(constB7))),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28909, 6469, 28906])).
% 74.05/46.88 tff(28911,plain,
% 74.05/46.88 (~v248(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28910, 28878])).
% 74.05/46.88 tff(28912,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB7) | (~v244(constB7)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB7) | (~v244(constB7)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28913,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB7) | (~v244(constB7)))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28914,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB7) | (~v244(constB7))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28913, 28912])).
% 74.05/46.88 tff(28915,plain,
% 74.05/46.88 (~v244(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28914, 6484, 28911])).
% 74.05/46.88 tff(28916,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB7) | (~v216(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB7) | (~v216(constB7, bitIndex1)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28917,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB7) | (~v216(constB7, bitIndex1)))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28918,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB7) | (~v216(constB7, bitIndex1))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28917, 28916])).
% 74.05/46.88 tff(28919,plain,
% 74.05/46.88 (~v216(constB7, bitIndex1)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28918, 6495, 28915])).
% 74.05/46.88 tff(28920,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB7)) | v216(constB7, bitIndex1))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB7)) | v216(constB7, bitIndex1))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28921,plain,
% 74.05/46.88 ((v216(constB7, bitIndex1) | (~v254(constB7))) <=> ((~v254(constB7)) | v216(constB7, bitIndex1))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28922,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB7, bitIndex1) | (~v254(constB7)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB7)) | v216(constB7, bitIndex1)))),
% 74.05/46.88 inference(monotonicity,[status(thm)],[28921])).
% 74.05/46.88 tff(28923,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB7, bitIndex1) | (~v254(constB7)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB7)) | v216(constB7, bitIndex1))),
% 74.05/46.88 inference(transitivity,[status(thm)],[28922, 28920])).
% 74.05/46.88 tff(28924,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB7, bitIndex1) | (~v254(constB7)))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28925,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB7)) | v216(constB7, bitIndex1)),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28924, 28923])).
% 74.05/46.88 tff(28926,plain,
% 74.05/46.88 (~v254(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28925, 6506, 28919])).
% 74.05/46.88 tff(28927,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB7) | (~v231(constB7)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB7) | (~v231(constB7)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28928,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB7) | (~v231(constB7)))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28929,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB7) | (~v231(constB7))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28928, 28927])).
% 74.05/46.88 tff(28930,plain,
% 74.05/46.88 (~v231(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28929, 6528, 28906])).
% 74.05/46.88 tff(28931,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB7) | (~v221(constB7)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB7) | (~v221(constB7)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28932,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB7) | (~v221(constB7)))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28933,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB7) | (~v221(constB7))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28932, 28931])).
% 74.05/46.88 tff(28934,plain,
% 74.05/46.88 (~v221(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28933, 21170, 28869])).
% 74.05/46.88 tff(28935,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB7) | v231(constB7) | (~v243(constB7)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB7) | v231(constB7) | (~v243(constB7)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28936,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB7) | v231(constB7) | (~v243(constB7)))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28937,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB7) | v231(constB7) | (~v243(constB7))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28936, 28935])).
% 74.05/46.88 tff(28938,plain,
% 74.05/46.88 (~v243(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28937, 6542, 28934, 28930])).
% 74.05/46.88 tff(28939,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB7) | v255(constB7))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB7) | v255(constB7))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28940,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB7) | v255(constB7))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28941,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB7) | v255(constB7)),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28940, 28939])).
% 74.05/46.88 tff(28942,plain,
% 74.05/46.88 (v255(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28941, 6553, 28938])).
% 74.05/46.88 tff(28943,plain,
% 74.05/46.88 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB7)) | (~v216(constB7, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB7)) | (~v216(constB7, bitIndex2)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28944,plain,
% 74.05/46.88 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB7)) | (~v216(constB7, bitIndex2)))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28945,plain,
% 74.05/46.88 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB7)) | (~v216(constB7, bitIndex2))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28944, 28943])).
% 74.05/46.88 tff(28946,plain,
% 74.05/46.88 (~v216(constB7, bitIndex2)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28945, 6564, 28942])).
% 74.05/46.88 tff(28947,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB7) | v216(constB7, bitIndex2) | (~v215(constB7)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB7) | v216(constB7, bitIndex2) | (~v215(constB7)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28948,plain,
% 74.05/46.88 ((v216(constB7, bitIndex2) | v254(constB7) | (~v215(constB7))) <=> (v254(constB7) | v216(constB7, bitIndex2) | (~v215(constB7)))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28949,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB7, bitIndex2) | v254(constB7) | (~v215(constB7)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB7) | v216(constB7, bitIndex2) | (~v215(constB7))))),
% 74.05/46.88 inference(monotonicity,[status(thm)],[28948])).
% 74.05/46.88 tff(28950,plain,
% 74.05/46.88 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB7, bitIndex2) | v254(constB7) | (~v215(constB7)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB7) | v216(constB7, bitIndex2) | (~v215(constB7)))),
% 74.05/46.88 inference(transitivity,[status(thm)],[28949, 28947])).
% 74.05/46.88 tff(28951,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB7, bitIndex2) | v254(constB7) | (~v215(constB7)))),
% 74.05/46.88 inference(quant_inst,[status(thm)],[])).
% 74.05/46.88 tff(28952,plain,
% 74.05/46.88 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB7) | v216(constB7, bitIndex2) | (~v215(constB7))),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28951, 28950])).
% 74.05/46.88 tff(28953,plain,
% 74.05/46.88 (v254(constB7) | (~v215(constB7))),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28952, 6578, 28946])).
% 74.05/46.88 tff(28954,plain,
% 74.05/46.88 (~v215(constB7)),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28953, 28926])).
% 74.05/46.88 tff(28955,plain,
% 74.05/46.88 ($false),
% 74.05/46.88 inference(unit_resolution,[status(thm)],[28954, 28789])).
% 74.05/46.88 tff(28956,plain,(~(constB7 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.05/46.88 tff(28957,assumption,(constB179 = sK0_VarCurr), introduced(assumption)).
% 74.05/46.88 tff(28958,plain,
% 74.05/46.88 (v215(constB179) <=> v215(sK0_VarCurr)),
% 74.05/46.88 inference(monotonicity,[status(thm)],[28957])).
% 74.05/46.88 tff(28959,plain,
% 74.05/46.88 (v215(sK0_VarCurr) <=> v215(constB179)),
% 74.05/46.88 inference(symmetry,[status(thm)],[28958])).
% 74.05/46.88 tff(28960,plain,
% 74.05/46.88 (v215(constB179)),
% 74.05/46.88 inference(modus_ponens,[status(thm)],[28, 28959])).
% 74.05/46.88 tff(28961,plain,
% 74.05/46.88 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB179, bitIndex2)) | v88(constB179, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB179, bitIndex2)) | v88(constB179, bitIndex2))),
% 74.05/46.88 inference(rewrite,[status(thm)],[])).
% 74.05/46.88 tff(28962,plain,
% 74.05/46.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB179, bitIndex2)) | v88(constB179, bitIndex2))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(28963,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB179, bitIndex2)) | v88(constB179, bitIndex2)),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[28962, 28961])).
% 74.05/46.89 tff(28964,plain,
% 74.05/46.89 (v88(constB179, bitIndex2)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[28963, 6015, 25880])).
% 74.05/46.89 tff(28965,plain,
% 74.05/46.89 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB179, bitIndex2)) | (~v140(constB179)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB179, bitIndex2)) | (~v140(constB179)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(28966,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB179, bitIndex2)) | (~v140(constB179)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(28967,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB179, bitIndex2)) | (~v140(constB179))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[28966, 28965])).
% 74.05/46.89 tff(28968,plain,
% 74.05/46.89 (~v140(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[28967, 6026, 28964])).
% 74.05/46.89 tff(28969,plain,
% 74.05/46.89 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB179, bitIndex0)) | v88(constB179, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB179, bitIndex0)) | v88(constB179, bitIndex0))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(28970,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB179, bitIndex0)) | v88(constB179, bitIndex0))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(28971,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB179, bitIndex0)) | v88(constB179, bitIndex0)),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[28970, 28969])).
% 74.05/46.89 tff(28972,plain,
% 74.05/46.89 (v88(constB179, bitIndex0)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[28971, 6074, 25914])).
% 74.05/46.89 tff(28973,plain,
% 74.05/46.89 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB179, bitIndex0)) | (~v139(constB179)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB179, bitIndex0)) | (~v139(constB179)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(28974,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB179, bitIndex0)) | (~v139(constB179)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(28975,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB179, bitIndex0)) | (~v139(constB179))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[28974, 28973])).
% 74.05/46.89 tff(28976,plain,
% 74.05/46.89 (~v139(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[28975, 6085, 28972])).
% 74.05/46.89 tff(28977,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB179) | v139(constB179) | (~v200(constB179)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB179) | v139(constB179) | (~v200(constB179)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(28978,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB179) | v139(constB179) | (~v200(constB179)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(28979,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB179) | v139(constB179) | (~v200(constB179))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[28978, 28977])).
% 74.05/46.89 tff(28980,plain,
% 74.05/46.89 (v140(constB179) | (~v200(constB179))),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[28979, 6102, 28976])).
% 74.05/46.89 tff(28981,plain,
% 74.05/46.89 (~v200(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[28980, 28968])).
% 74.05/46.89 tff(28982,plain,
% 74.05/46.89 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB179, bitIndex2)) | (~v141(constB179)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB179, bitIndex2)) | (~v141(constB179)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(28983,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB179, bitIndex2)) | (~v141(constB179)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(28984,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB179, bitIndex2)) | (~v141(constB179))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[28983, 28982])).
% 74.05/46.89 tff(28985,plain,
% 74.05/46.89 (~v141(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[28984, 6116, 28964])).
% 74.05/46.89 tff(28986,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB179) | v200(constB179) | (~v199(constB179)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB179) | v200(constB179) | (~v199(constB179)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(28987,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB179) | v200(constB179) | (~v199(constB179)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(28988,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB179) | v200(constB179) | (~v199(constB179))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[28987, 28986])).
% 74.05/46.89 tff(28989,plain,
% 74.05/46.89 (~v199(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[28988, 6133, 28985, 28981])).
% 74.05/46.89 tff(28990,plain,
% 74.05/46.89 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB179, bitIndex0)) | (~v143(constB179)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB179, bitIndex0)) | (~v143(constB179)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(28991,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB179, bitIndex0)) | (~v143(constB179)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(28992,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB179, bitIndex0)) | (~v143(constB179))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[28991, 28990])).
% 74.05/46.89 tff(28993,plain,
% 74.05/46.89 (~v143(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[28992, 6144, 28972])).
% 74.05/46.89 tff(28994,plain,
% 74.05/46.89 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB179, bitIndex0)) | (~v144(constB179)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB179, bitIndex0)) | (~v144(constB179)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(28995,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB179, bitIndex0)) | (~v144(constB179)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(28996,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB179, bitIndex0)) | (~v144(constB179))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[28995, 28994])).
% 74.05/46.89 tff(28997,plain,
% 74.05/46.89 (~v144(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[28996, 6158, 28972])).
% 74.05/46.89 tff(28998,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB179) | v144(constB179) | (~v142(constB179)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB179) | v144(constB179) | (~v142(constB179)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(28999,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB179) | v144(constB179) | (~v142(constB179)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29000,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB179) | v144(constB179) | (~v142(constB179))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[28999, 28998])).
% 74.05/46.89 tff(29001,plain,
% 74.05/46.89 (~v142(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29000, 6175, 28997, 28993])).
% 74.05/46.89 tff(29002,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB179) | v199(constB179) | (~v183(constB179)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB179) | v199(constB179) | (~v183(constB179)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29003,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB179) | v199(constB179) | (~v183(constB179)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29004,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB179) | v199(constB179) | (~v183(constB179))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29003, 29002])).
% 74.05/46.89 tff(29005,plain,
% 74.05/46.89 (v199(constB179) | (~v183(constB179))),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29004, 6189, 29001])).
% 74.05/46.89 tff(29006,plain,
% 74.05/46.89 (~v183(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29005, 28989])).
% 74.05/46.89 tff(29007,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB179, bitIndex1) | (~v88(constB179, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB179, bitIndex1) | (~v88(constB179, bitIndex1)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29008,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB179, bitIndex1) | (~v88(constB179, bitIndex1)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29009,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB179, bitIndex1) | (~v88(constB179, bitIndex1))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29008, 29007])).
% 74.05/46.89 tff(29010,plain,
% 74.05/46.89 (~v88(constB179, bitIndex1)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29009, 6234, 25863])).
% 74.05/46.89 tff(29011,plain,
% 74.05/46.89 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB179, bitIndex0)) | v147(constB179) | (~v88(constB179, bitIndex2)) | v88(constB179, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB179, bitIndex0)) | v147(constB179) | (~v88(constB179, bitIndex2)) | v88(constB179, bitIndex1))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29012,plain,
% 74.05/46.89 (((~v88(constB179, bitIndex2)) | v88(constB179, bitIndex1) | (~v88(constB179, bitIndex0)) | v147(constB179)) <=> ((~v88(constB179, bitIndex0)) | v147(constB179) | (~v88(constB179, bitIndex2)) | v88(constB179, bitIndex1))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29013,plain,
% 74.05/46.89 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB179, bitIndex2)) | v88(constB179, bitIndex1) | (~v88(constB179, bitIndex0)) | v147(constB179))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB179, bitIndex0)) | v147(constB179) | (~v88(constB179, bitIndex2)) | v88(constB179, bitIndex1)))),
% 74.05/46.89 inference(monotonicity,[status(thm)],[29012])).
% 74.05/46.89 tff(29014,plain,
% 74.05/46.89 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB179, bitIndex2)) | v88(constB179, bitIndex1) | (~v88(constB179, bitIndex0)) | v147(constB179))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB179, bitIndex0)) | v147(constB179) | (~v88(constB179, bitIndex2)) | v88(constB179, bitIndex1))),
% 74.05/46.89 inference(transitivity,[status(thm)],[29013, 29011])).
% 74.05/46.89 tff(29015,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB179, bitIndex2)) | v88(constB179, bitIndex1) | (~v88(constB179, bitIndex0)) | v147(constB179))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29016,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB179, bitIndex0)) | v147(constB179) | (~v88(constB179, bitIndex2)) | v88(constB179, bitIndex1)),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29015, 29014])).
% 74.05/46.89 tff(29017,plain,
% 74.05/46.89 (v147(constB179) | (~v88(constB179, bitIndex2)) | v88(constB179, bitIndex1)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29016, 6248, 28972])).
% 74.05/46.89 tff(29018,plain,
% 74.05/46.89 (v147(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29017, 28964, 29010])).
% 74.05/46.89 tff(29019,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB179) | (~v147(constB179)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB179) | (~v147(constB179)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29020,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB179) | (~v147(constB179)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29021,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB179) | (~v147(constB179))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29020, 29019])).
% 74.05/46.89 tff(29022,plain,
% 74.05/46.89 (v145(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29021, 6262, 29018])).
% 74.05/46.89 tff(29023,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB179) | (~v145(constB179)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB179) | (~v145(constB179)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29024,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB179) | (~v145(constB179)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29025,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB179) | (~v145(constB179))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29024, 29023])).
% 74.05/46.89 tff(29026,plain,
% 74.05/46.89 (v197(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29025, 6273, 29022])).
% 74.05/46.89 tff(29027,plain,
% 74.05/46.89 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB179) | (~v197(constB179)) | v183(constB179))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB179) | (~v197(constB179)) | v183(constB179))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29028,plain,
% 74.05/46.89 (((~v197(constB179)) | v183(constB179) | v228(constB179)) <=> (v228(constB179) | (~v197(constB179)) | v183(constB179))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29029,plain,
% 74.05/46.89 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB179)) | v183(constB179) | v228(constB179))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB179) | (~v197(constB179)) | v183(constB179)))),
% 74.05/46.89 inference(monotonicity,[status(thm)],[29028])).
% 74.05/46.89 tff(29030,plain,
% 74.05/46.89 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB179)) | v183(constB179) | v228(constB179))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB179) | (~v197(constB179)) | v183(constB179))),
% 74.05/46.89 inference(transitivity,[status(thm)],[29029, 29027])).
% 74.05/46.89 tff(29031,plain,
% 74.05/46.89 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB179)) | v183(constB179) | v228(constB179))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29032,plain,
% 74.05/46.89 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB179) | (~v197(constB179)) | v183(constB179)),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29031, 29030])).
% 74.05/46.89 tff(29033,plain,
% 74.05/46.89 (v228(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29032, 6287, 29026, 29006])).
% 74.05/46.89 tff(29034,plain,
% 74.05/46.89 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB179)) | (~v223(constB179, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB179)) | (~v223(constB179, bitIndex1)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29035,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB179)) | (~v223(constB179, bitIndex1)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29036,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB179)) | (~v223(constB179, bitIndex1))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29035, 29034])).
% 74.05/46.89 tff(29037,plain,
% 74.05/46.89 (~v223(constB179, bitIndex1)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29036, 6301, 29033])).
% 74.05/46.89 tff(29038,plain,
% 74.05/46.89 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB179)) | v223(constB179, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB179)) | v223(constB179, bitIndex1))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29039,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB179)) | v223(constB179, bitIndex1))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29040,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB179)) | v223(constB179, bitIndex1)),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29039, 29038])).
% 74.05/46.89 tff(29041,plain,
% 74.05/46.89 (~v222(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29040, 6315, 29037])).
% 74.05/46.89 tff(29042,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB179) | v200(constB179) | (~v166(constB179)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB179) | v200(constB179) | (~v166(constB179)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29043,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB179) | v200(constB179) | (~v166(constB179)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29044,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB179) | v200(constB179) | (~v166(constB179))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29043, 29042])).
% 74.05/46.89 tff(29045,plain,
% 74.05/46.89 (~v166(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29044, 6329, 28985, 28981])).
% 74.05/46.89 tff(29046,plain,
% 74.05/46.89 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB179) | (~v197(constB179)) | v166(constB179))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB179) | (~v197(constB179)) | v166(constB179))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29047,plain,
% 74.05/46.89 (((~v197(constB179)) | v166(constB179) | v241(constB179)) <=> (v241(constB179) | (~v197(constB179)) | v166(constB179))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29048,plain,
% 74.05/46.89 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB179)) | v166(constB179) | v241(constB179))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB179) | (~v197(constB179)) | v166(constB179)))),
% 74.05/46.89 inference(monotonicity,[status(thm)],[29047])).
% 74.05/46.89 tff(29049,plain,
% 74.05/46.89 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB179)) | v166(constB179) | v241(constB179))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB179) | (~v197(constB179)) | v166(constB179))),
% 74.05/46.89 inference(transitivity,[status(thm)],[29048, 29046])).
% 74.05/46.89 tff(29050,plain,
% 74.05/46.89 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB179)) | v166(constB179) | v241(constB179))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29051,plain,
% 74.05/46.89 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB179) | (~v197(constB179)) | v166(constB179)),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29050, 29049])).
% 74.05/46.89 tff(29052,plain,
% 74.05/46.89 (v241(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29051, 6343, 29026, 29045])).
% 74.05/46.89 tff(29053,plain,
% 74.05/46.89 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB179)) | (~v223(constB179, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB179)) | (~v223(constB179, bitIndex2)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29054,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB179)) | (~v223(constB179, bitIndex2)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29055,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB179)) | (~v223(constB179, bitIndex2))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29054, 29053])).
% 74.05/46.89 tff(29056,plain,
% 74.05/46.89 (~v223(constB179, bitIndex2)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29055, 6357, 29052])).
% 74.05/46.89 tff(29057,plain,
% 74.05/46.89 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB179)) | v223(constB179, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB179)) | v223(constB179, bitIndex2))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29058,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB179)) | v223(constB179, bitIndex2))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29059,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB179)) | v223(constB179, bitIndex2)),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29058, 29057])).
% 74.05/46.89 tff(29060,plain,
% 74.05/46.89 (~v224(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29059, 6371, 29056])).
% 74.05/46.89 tff(29061,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB179) | v224(constB179) | (~v236(constB179)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB179) | v224(constB179) | (~v236(constB179)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29062,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB179) | v224(constB179) | (~v236(constB179)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29063,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB179) | v224(constB179) | (~v236(constB179))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29062, 29061])).
% 74.05/46.89 tff(29064,plain,
% 74.05/46.89 (~v236(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29063, 6385, 29060, 29041])).
% 74.05/46.89 tff(29065,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB179) | (~v232(constB179)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB179) | (~v232(constB179)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29066,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB179) | (~v232(constB179)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29067,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB179) | (~v232(constB179))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29066, 29065])).
% 74.05/46.89 tff(29068,plain,
% 74.05/46.89 (~v232(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29067, 6396, 29064])).
% 74.05/46.89 tff(29069,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB179) | v139(constB179) | (~v148(constB179)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB179) | v139(constB179) | (~v148(constB179)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29070,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB179) | v139(constB179) | (~v148(constB179)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29071,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB179) | v139(constB179) | (~v148(constB179))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29070, 29069])).
% 74.05/46.89 tff(29072,plain,
% 74.05/46.89 (v140(constB179) | (~v148(constB179))),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29071, 6410, 28976])).
% 74.05/46.89 tff(29073,plain,
% 74.05/46.89 (~v148(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29072, 28968])).
% 74.05/46.89 tff(29074,plain,
% 74.05/46.89 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB179) | v148(constB179) | (~v197(constB179)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB179) | v148(constB179) | (~v197(constB179)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29075,plain,
% 74.05/46.89 ((v148(constB179) | (~v197(constB179)) | v252(constB179)) <=> (v252(constB179) | v148(constB179) | (~v197(constB179)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29076,plain,
% 74.05/46.89 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB179) | (~v197(constB179)) | v252(constB179))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB179) | v148(constB179) | (~v197(constB179))))),
% 74.05/46.89 inference(monotonicity,[status(thm)],[29075])).
% 74.05/46.89 tff(29077,plain,
% 74.05/46.89 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB179) | (~v197(constB179)) | v252(constB179))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB179) | v148(constB179) | (~v197(constB179)))),
% 74.05/46.89 inference(transitivity,[status(thm)],[29076, 29074])).
% 74.05/46.89 tff(29078,plain,
% 74.05/46.89 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB179) | (~v197(constB179)) | v252(constB179))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29079,plain,
% 74.05/46.89 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB179) | v148(constB179) | (~v197(constB179))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29078, 29077])).
% 74.05/46.89 tff(29080,plain,
% 74.05/46.89 (v252(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29079, 6427, 29026, 29073])).
% 74.05/46.89 tff(29081,plain,
% 74.05/46.89 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB179)) | (~v223(constB179, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB179)) | (~v223(constB179, bitIndex3)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29082,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB179)) | (~v223(constB179, bitIndex3)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29083,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB179)) | (~v223(constB179, bitIndex3))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29082, 29081])).
% 74.05/46.89 tff(29084,plain,
% 74.05/46.89 (~v223(constB179, bitIndex3)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29083, 6441, 29080])).
% 74.05/46.89 tff(29085,plain,
% 74.05/46.89 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB179)) | v223(constB179, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB179)) | v223(constB179, bitIndex3))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29086,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB179)) | v223(constB179, bitIndex3))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29087,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB179)) | v223(constB179, bitIndex3)),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29086, 29085])).
% 74.05/46.89 tff(29088,plain,
% 74.05/46.89 (~v237(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29087, 6455, 29084])).
% 74.05/46.89 tff(29089,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB179) | (~v248(constB179)) | v232(constB179))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB179) | (~v248(constB179)) | v232(constB179))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29090,plain,
% 74.05/46.89 ((v237(constB179) | v232(constB179) | (~v248(constB179))) <=> (v237(constB179) | (~v248(constB179)) | v232(constB179))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29091,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB179) | v232(constB179) | (~v248(constB179)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB179) | (~v248(constB179)) | v232(constB179)))),
% 74.05/46.89 inference(monotonicity,[status(thm)],[29090])).
% 74.05/46.89 tff(29092,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB179) | v232(constB179) | (~v248(constB179)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB179) | (~v248(constB179)) | v232(constB179))),
% 74.05/46.89 inference(transitivity,[status(thm)],[29091, 29089])).
% 74.05/46.89 tff(29093,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB179) | v232(constB179) | (~v248(constB179)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29094,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB179) | (~v248(constB179)) | v232(constB179)),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29093, 29092])).
% 74.05/46.89 tff(29095,plain,
% 74.05/46.89 ((~v248(constB179)) | v232(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29094, 6469, 29088])).
% 74.05/46.89 tff(29096,plain,
% 74.05/46.89 (~v248(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29095, 29068])).
% 74.05/46.89 tff(29097,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB179) | (~v244(constB179)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB179) | (~v244(constB179)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29098,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB179) | (~v244(constB179)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29099,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB179) | (~v244(constB179))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29098, 29097])).
% 74.05/46.89 tff(29100,plain,
% 74.05/46.89 (~v244(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29099, 6484, 29096])).
% 74.05/46.89 tff(29101,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB179) | (~v216(constB179, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB179) | (~v216(constB179, bitIndex1)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29102,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB179) | (~v216(constB179, bitIndex1)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29103,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB179) | (~v216(constB179, bitIndex1))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29102, 29101])).
% 74.05/46.89 tff(29104,plain,
% 74.05/46.89 (~v216(constB179, bitIndex1)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29103, 6495, 29100])).
% 74.05/46.89 tff(29105,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB179)) | v216(constB179, bitIndex1))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB179)) | v216(constB179, bitIndex1))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29106,plain,
% 74.05/46.89 ((v216(constB179, bitIndex1) | (~v254(constB179))) <=> ((~v254(constB179)) | v216(constB179, bitIndex1))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29107,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB179, bitIndex1) | (~v254(constB179)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB179)) | v216(constB179, bitIndex1)))),
% 74.05/46.89 inference(monotonicity,[status(thm)],[29106])).
% 74.05/46.89 tff(29108,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB179, bitIndex1) | (~v254(constB179)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB179)) | v216(constB179, bitIndex1))),
% 74.05/46.89 inference(transitivity,[status(thm)],[29107, 29105])).
% 74.05/46.89 tff(29109,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB179, bitIndex1) | (~v254(constB179)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29110,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB179)) | v216(constB179, bitIndex1)),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29109, 29108])).
% 74.05/46.89 tff(29111,plain,
% 74.05/46.89 (~v254(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29110, 6506, 29104])).
% 74.05/46.89 tff(29112,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB179) | (~v221(constB179)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB179) | (~v221(constB179)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29113,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB179) | (~v221(constB179)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29114,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB179) | (~v221(constB179))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29113, 29112])).
% 74.05/46.89 tff(29115,plain,
% 74.05/46.89 (~v221(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29114, 6517, 29060])).
% 74.05/46.89 tff(29116,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB179) | (~v231(constB179)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB179) | (~v231(constB179)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29117,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB179) | (~v231(constB179)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29118,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB179) | (~v231(constB179))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29117, 29116])).
% 74.05/46.89 tff(29119,plain,
% 74.05/46.89 (~v231(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29118, 6528, 29088])).
% 74.05/46.89 tff(29120,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB179) | v231(constB179) | (~v243(constB179)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB179) | v231(constB179) | (~v243(constB179)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29121,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB179) | v231(constB179) | (~v243(constB179)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29122,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB179) | v231(constB179) | (~v243(constB179))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29121, 29120])).
% 74.05/46.89 tff(29123,plain,
% 74.05/46.89 (v221(constB179) | (~v243(constB179))),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29122, 6542, 29119])).
% 74.05/46.89 tff(29124,plain,
% 74.05/46.89 (~v243(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29123, 29115])).
% 74.05/46.89 tff(29125,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB179) | v255(constB179))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB179) | v255(constB179))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29126,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB179) | v255(constB179))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29127,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB179) | v255(constB179)),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29126, 29125])).
% 74.05/46.89 tff(29128,plain,
% 74.05/46.89 (v255(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29127, 6553, 29124])).
% 74.05/46.89 tff(29129,plain,
% 74.05/46.89 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB179)) | (~v216(constB179, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB179)) | (~v216(constB179, bitIndex2)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29130,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB179)) | (~v216(constB179, bitIndex2)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29131,plain,
% 74.05/46.89 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB179)) | (~v216(constB179, bitIndex2))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29130, 29129])).
% 74.05/46.89 tff(29132,plain,
% 74.05/46.89 (~v216(constB179, bitIndex2)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29131, 6564, 29128])).
% 74.05/46.89 tff(29133,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB179)) | v216(constB179, bitIndex2) | v254(constB179))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB179)) | v216(constB179, bitIndex2) | v254(constB179))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29134,plain,
% 74.05/46.89 ((v216(constB179, bitIndex2) | v254(constB179) | (~v215(constB179))) <=> ((~v215(constB179)) | v216(constB179, bitIndex2) | v254(constB179))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29135,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB179, bitIndex2) | v254(constB179) | (~v215(constB179)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB179)) | v216(constB179, bitIndex2) | v254(constB179)))),
% 74.05/46.89 inference(monotonicity,[status(thm)],[29134])).
% 74.05/46.89 tff(29136,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB179, bitIndex2) | v254(constB179) | (~v215(constB179)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB179)) | v216(constB179, bitIndex2) | v254(constB179))),
% 74.05/46.89 inference(transitivity,[status(thm)],[29135, 29133])).
% 74.05/46.89 tff(29137,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB179, bitIndex2) | v254(constB179) | (~v215(constB179)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29138,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB179)) | v216(constB179, bitIndex2) | v254(constB179)),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29137, 29136])).
% 74.05/46.89 tff(29139,plain,
% 74.05/46.89 ((~v215(constB179)) | v254(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29138, 6578, 29132])).
% 74.05/46.89 tff(29140,plain,
% 74.05/46.89 (~v215(constB179)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29139, 29111])).
% 74.05/46.89 tff(29141,plain,
% 74.05/46.89 ($false),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29140, 28960])).
% 74.05/46.89 tff(29142,plain,(~(constB179 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.05/46.89 tff(29143,assumption,(constB63 = sK0_VarCurr), introduced(assumption)).
% 74.05/46.89 tff(29144,plain,
% 74.05/46.89 (v215(constB63) <=> v215(sK0_VarCurr)),
% 74.05/46.89 inference(monotonicity,[status(thm)],[29143])).
% 74.05/46.89 tff(29145,plain,
% 74.05/46.89 (v215(sK0_VarCurr) <=> v215(constB63)),
% 74.05/46.89 inference(symmetry,[status(thm)],[29144])).
% 74.05/46.89 tff(29146,plain,
% 74.05/46.89 (v215(constB63)),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[28, 29145])).
% 74.05/46.89 tff(29147,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB63, bitIndex2) | (~v88(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB63, bitIndex2) | (~v88(constB63, bitIndex2)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29148,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB63, bitIndex2) | (~v88(constB63, bitIndex2)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29149,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB63, bitIndex2) | (~v88(constB63, bitIndex2))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29148, 29147])).
% 74.05/46.89 tff(29150,plain,
% 74.05/46.89 (~v88(constB63, bitIndex2)),
% 74.05/46.89 inference(unit_resolution,[status(thm)],[29149, 20913, 9891])).
% 74.05/46.89 tff(29151,plain,
% 74.05/46.89 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB63, bitIndex1) | (~v88(constB63, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB63, bitIndex1) | (~v88(constB63, bitIndex1)))),
% 74.05/46.89 inference(rewrite,[status(thm)],[])).
% 74.05/46.89 tff(29152,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB63, bitIndex1) | (~v88(constB63, bitIndex1)))),
% 74.05/46.89 inference(quant_inst,[status(thm)],[])).
% 74.05/46.89 tff(29153,plain,
% 74.05/46.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB63, bitIndex1) | (~v88(constB63, bitIndex1))),
% 74.05/46.89 inference(modus_ponens,[status(thm)],[29152, 29151])).
% 74.05/46.89 tff(29154,plain,
% 74.05/46.90 (~v88(constB63, bitIndex1)),
% 74.05/46.90 inference(unit_resolution,[status(thm)],[29153, 6234, 9929])).
% 74.05/46.90 tff(29155,plain,
% 74.05/46.90 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB63, bitIndex0)) | v88(constB63, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB63, bitIndex0)) | v88(constB63, bitIndex0))),
% 74.05/46.90 inference(rewrite,[status(thm)],[])).
% 74.05/46.90 tff(29156,plain,
% 74.05/46.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB63, bitIndex0)) | v88(constB63, bitIndex0))),
% 74.05/46.90 inference(quant_inst,[status(thm)],[])).
% 74.05/46.90 tff(29157,plain,
% 74.05/46.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB63, bitIndex0)) | v88(constB63, bitIndex0)),
% 74.05/46.90 inference(modus_ponens,[status(thm)],[29156, 29155])).
% 74.05/46.90 tff(29158,plain,
% 74.05/46.90 (v88(constB63, bitIndex0)),
% 74.05/46.90 inference(unit_resolution,[status(thm)],[29157, 6074, 9964])).
% 74.05/46.90 tff(29159,plain,
% 74.05/46.90 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | v140(constB63) | (~v88(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | v140(constB63) | (~v88(constB63, bitIndex0)))),
% 74.05/46.90 inference(rewrite,[status(thm)],[])).
% 74.05/46.90 tff(29160,plain,
% 74.05/46.90 ((v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)) | v140(constB63)) <=> (v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | v140(constB63) | (~v88(constB63, bitIndex0)))),
% 74.05/46.90 inference(rewrite,[status(thm)],[])).
% 74.05/46.90 tff(29161,plain,
% 74.05/46.90 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)) | v140(constB63))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | v140(constB63) | (~v88(constB63, bitIndex0))))),
% 74.05/46.90 inference(monotonicity,[status(thm)],[29160])).
% 74.05/46.90 tff(29162,plain,
% 74.05/46.90 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)) | v140(constB63))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | v140(constB63) | (~v88(constB63, bitIndex0)))),
% 74.05/46.90 inference(transitivity,[status(thm)],[29161, 29159])).
% 74.05/46.90 tff(29163,plain,
% 74.05/46.90 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | (~v88(constB63, bitIndex0)) | v140(constB63))),
% 74.05/46.90 inference(quant_inst,[status(thm)],[])).
% 74.05/46.90 tff(29164,plain,
% 74.05/46.90 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB63, bitIndex2) | v88(constB63, bitIndex1) | v140(constB63) | (~v88(constB63, bitIndex0))),
% 74.05/46.90 inference(modus_ponens,[status(thm)],[29163, 29162])).
% 74.05/46.90 tff(29165,plain,
% 74.05/46.90 (v140(constB63)),
% 74.05/46.90 inference(unit_resolution,[status(thm)],[29164, 27506, 29158, 29154, 29150])).
% 74.05/46.90 tff(29166,plain,
% 74.05/46.90 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB63) | (~v140(constB63)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB63) | (~v140(constB63)))),
% 74.05/46.90 inference(rewrite,[status(thm)],[])).
% 74.05/46.90 tff(29167,plain,
% 74.05/46.90 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB63) | (~v140(constB63)))),
% 74.05/46.90 inference(quant_inst,[status(thm)],[])).
% 74.05/46.90 tff(29168,plain,
% 74.05/46.90 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB63) | (~v140(constB63))),
% 74.05/46.90 inference(modus_ponens,[status(thm)],[29167, 29166])).
% 74.05/46.90 tff(29169,plain,
% 74.05/46.90 (v200(constB63)),
% 74.05/46.90 inference(unit_resolution,[status(thm)],[29168, 27520, 29165])).
% 74.05/46.90 tff(29170,plain,
% 74.05/46.90 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB63) | (~v200(constB63)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB63) | (~v200(constB63)))),
% 74.05/46.90 inference(rewrite,[status(thm)],[])).
% 74.05/46.90 tff(29171,plain,
% 74.05/46.90 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB63) | (~v200(constB63)))),
% 74.05/46.90 inference(quant_inst,[status(thm)],[])).
% 74.05/46.90 tff(29172,plain,
% 74.05/46.90 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB63) | (~v200(constB63))),
% 74.05/46.90 inference(modus_ponens,[status(thm)],[29171, 29170])).
% 74.05/46.90 tff(29173,plain,
% 74.05/46.90 (v199(constB63)),
% 74.05/46.90 inference(unit_resolution,[status(thm)],[29172, 27531, 29169])).
% 74.05/46.90 tff(29174,plain,
% 74.05/46.90 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB63) | (~v199(constB63)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB63) | (~v199(constB63)))),
% 74.05/46.90 inference(rewrite,[status(thm)],[])).
% 74.05/46.90 tff(29175,plain,
% 74.05/46.90 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB63) | (~v199(constB63)))),
% 74.05/46.90 inference(quant_inst,[status(thm)],[])).
% 74.05/46.90 tff(29176,plain,
% 74.05/46.90 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB63) | (~v199(constB63))),
% 74.05/46.90 inference(modus_ponens,[status(thm)],[29175, 29174])).
% 74.05/46.90 tff(29177,plain,
% 74.05/46.90 (v198(constB63)),
% 74.05/46.90 inference(unit_resolution,[status(thm)],[29176, 20970, 29173])).
% 74.05/46.90 tff(29178,plain,
% 74.05/46.90 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB63)) | (~v201(constB63)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB63)) | (~v201(constB63)))),
% 74.05/46.90 inference(rewrite,[status(thm)],[])).
% 74.05/46.90 tff(29179,plain,
% 74.05/46.90 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB63)) | (~v201(constB63)))),
% 74.05/46.90 inference(quant_inst,[status(thm)],[])).
% 74.05/46.90 tff(29180,plain,
% 74.05/46.90 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB63)) | (~v201(constB63))),
% 74.05/46.90 inference(modus_ponens,[status(thm)],[29179, 29178])).
% 74.05/46.90 tff(29181,plain,
% 74.05/46.90 (~v201(constB63)),
% 74.05/46.90 inference(unit_resolution,[status(thm)],[29180, 20984, 29177])).
% 74.05/46.90 tff(29182,plain,
% 74.05/46.90 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB63) | (~v198(constB63)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB63) | (~v198(constB63)))),
% 74.05/46.90 inference(rewrite,[status(thm)],[])).
% 74.05/46.90 tff(29183,plain,
% 74.05/46.90 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB63) | (~v198(constB63)))),
% 74.05/46.90 inference(quant_inst,[status(thm)],[])).
% 74.05/46.90 tff(29184,plain,
% 74.05/46.90 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB63) | (~v198(constB63))),
% 74.05/46.90 inference(modus_ponens,[status(thm)],[29183, 29182])).
% 74.05/46.90 tff(29185,plain,
% 74.05/46.90 (v197(constB63)),
% 74.05/46.90 inference(unit_resolution,[status(thm)],[29184, 20995, 29177])).
% 74.05/46.90 tff(29186,plain,
% 74.05/46.90 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB63) | (~v197(constB63)) | v201(constB63))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB63) | (~v197(constB63)) | v201(constB63))),
% 74.05/46.90 inference(rewrite,[status(thm)],[])).
% 74.05/46.90 tff(29187,plain,
% 74.05/46.90 (((~v197(constB63)) | v201(constB63) | v227(constB63)) <=> (v227(constB63) | (~v197(constB63)) | v201(constB63))),
% 74.05/46.90 inference(rewrite,[status(thm)],[])).
% 74.05/46.90 tff(29188,plain,
% 74.05/46.90 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB63)) | v201(constB63) | v227(constB63))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB63) | (~v197(constB63)) | v201(constB63)))),
% 74.05/46.90 inference(monotonicity,[status(thm)],[29187])).
% 74.05/46.90 tff(29189,plain,
% 74.05/46.90 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB63)) | v201(constB63) | v227(constB63))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB63) | (~v197(constB63)) | v201(constB63))),
% 74.05/46.90 inference(transitivity,[status(thm)],[29188, 29186])).
% 74.05/46.90 tff(29190,plain,
% 74.05/46.90 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB63)) | v201(constB63) | v227(constB63))),
% 74.05/46.90 inference(quant_inst,[status(thm)],[])).
% 74.05/46.90 tff(29191,plain,
% 74.05/46.90 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB63) | (~v197(constB63)) | v201(constB63)),
% 74.05/46.90 inference(modus_ponens,[status(thm)],[29190, 29189])).
% 74.05/46.90 tff(29192,plain,
% 74.05/46.90 (v227(constB63)),
% 74.05/46.90 inference(unit_resolution,[status(thm)],[29191, 21009, 29185, 29181])).
% 74.05/46.90 tff(29193,plain,
% 74.05/46.90 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB63)) | (~v223(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB63)) | (~v223(constB63, bitIndex0)))),
% 74.05/46.90 inference(rewrite,[status(thm)],[])).
% 74.05/46.90 tff(29194,plain,
% 74.05/46.90 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB63)) | (~v223(constB63, bitIndex0)))),
% 74.05/46.90 inference(quant_inst,[status(thm)],[])).
% 74.05/46.90 tff(29195,plain,
% 74.05/46.90 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB63)) | (~v223(constB63, bitIndex0))),
% 74.05/46.90 inference(modus_ponens,[status(thm)],[29194, 29193])).
% 74.05/46.90 tff(29196,plain,
% 74.05/46.90 (~v223(constB63, bitIndex0)),
% 74.05/46.90 inference(unit_resolution,[status(thm)],[29195, 21023, 29192])).
% 74.05/46.90 tff(29197,plain,
% 74.05/46.90 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB63)) | (~v199(constB63)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB63)) | (~v199(constB63)))),
% 74.05/46.90 inference(rewrite,[status(thm)],[])).
% 74.05/46.90 tff(29198,plain,
% 74.05/46.90 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB63)) | (~v199(constB63)))),
% 74.05/46.90 inference(quant_inst,[status(thm)],[])).
% 74.05/46.90 tff(29199,plain,
% 74.05/46.90 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB63)) | (~v199(constB63))),
% 74.05/46.90 inference(modus_ponens,[status(thm)],[29198, 29197])).
% 74.05/46.90 tff(29200,plain,
% 74.05/46.90 (~v183(constB63)),
% 74.05/46.90 inference(unit_resolution,[status(thm)],[29199, 21034, 29173])).
% 74.05/46.90 tff(29201,plain,
% 74.05/46.90 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB63) | (~v197(constB63)) | v183(constB63))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB63) | (~v197(constB63)) | v183(constB63))),
% 74.05/46.90 inference(rewrite,[status(thm)],[])).
% 74.05/46.90 tff(29202,plain,
% 74.05/46.90 (((~v197(constB63)) | v183(constB63) | v228(constB63)) <=> (v228(constB63) | (~v197(constB63)) | v183(constB63))),
% 74.05/46.90 inference(rewrite,[status(thm)],[])).
% 74.05/46.90 tff(29203,plain,
% 74.05/46.90 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB63)) | v183(constB63) | v228(constB63))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB63) | (~v197(constB63)) | v183(constB63)))),
% 74.05/46.90 inference(monotonicity,[status(thm)],[29202])).
% 74.05/46.90 tff(29204,plain,
% 74.05/46.90 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB63)) | v183(constB63) | v228(constB63))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB63) | (~v197(constB63)) | v183(constB63))),
% 74.05/46.90 inference(transitivity,[status(thm)],[29203, 29201])).
% 74.05/46.90 tff(29205,plain,
% 74.05/46.90 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB63)) | v183(constB63) | v228(constB63))),
% 74.05/46.90 inference(quant_inst,[status(thm)],[])).
% 74.05/46.90 tff(29206,plain,
% 74.05/46.90 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB63) | (~v197(constB63)) | v183(constB63)),
% 74.05/46.90 inference(modus_ponens,[status(thm)],[29205, 29204])).
% 74.05/46.90 tff(29207,plain,
% 74.05/46.90 (v228(constB63)),
% 74.05/46.90 inference(unit_resolution,[status(thm)],[29206, 6287, 29185, 29200])).
% 74.05/46.90 tff(29208,plain,
% 74.05/46.90 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB63)) | (~v223(constB63, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB63)) | (~v223(constB63, bitIndex1)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29209,plain,
% 74.07/46.90 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB63)) | (~v223(constB63, bitIndex1)))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29210,plain,
% 74.07/46.90 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB63)) | (~v223(constB63, bitIndex1))),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29209, 29208])).
% 74.07/46.90 tff(29211,plain,
% 74.07/46.90 (~v223(constB63, bitIndex1)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29210, 6301, 29207])).
% 74.07/46.90 tff(29212,plain,
% 74.07/46.90 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB63, bitIndex1) | v223(constB63, bitIndex0) | (~v229(constB63)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB63, bitIndex1) | v223(constB63, bitIndex0) | (~v229(constB63)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29213,plain,
% 74.07/46.90 ((v223(constB63, bitIndex0) | v223(constB63, bitIndex1) | (~v229(constB63))) <=> (v223(constB63, bitIndex1) | v223(constB63, bitIndex0) | (~v229(constB63)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29214,plain,
% 74.07/46.90 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB63, bitIndex0) | v223(constB63, bitIndex1) | (~v229(constB63)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB63, bitIndex1) | v223(constB63, bitIndex0) | (~v229(constB63))))),
% 74.07/46.90 inference(monotonicity,[status(thm)],[29213])).
% 74.07/46.90 tff(29215,plain,
% 74.07/46.90 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB63, bitIndex0) | v223(constB63, bitIndex1) | (~v229(constB63)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB63, bitIndex1) | v223(constB63, bitIndex0) | (~v229(constB63)))),
% 74.07/46.90 inference(transitivity,[status(thm)],[29214, 29212])).
% 74.07/46.90 tff(29216,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB63, bitIndex0) | v223(constB63, bitIndex1) | (~v229(constB63)))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29217,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB63, bitIndex1) | v223(constB63, bitIndex0) | (~v229(constB63))),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29216, 29215])).
% 74.07/46.90 tff(29218,plain,
% 74.07/46.90 (~v229(constB63)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29217, 21059, 29211, 29196])).
% 74.07/46.90 tff(29219,plain,
% 74.07/46.90 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB63) | (~v225(constB63)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB63) | (~v225(constB63)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29220,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB63) | (~v225(constB63)))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29221,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB63) | (~v225(constB63))),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29220, 29219])).
% 74.07/46.90 tff(29222,plain,
% 74.07/46.90 (~v225(constB63)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29221, 21073, 29218])).
% 74.07/46.90 tff(29223,plain,
% 74.07/46.90 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB63)) | (~v200(constB63)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB63)) | (~v200(constB63)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29224,plain,
% 74.07/46.90 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB63)) | (~v200(constB63)))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29225,plain,
% 74.07/46.90 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB63)) | (~v200(constB63))),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29224, 29223])).
% 74.07/46.90 tff(29226,plain,
% 74.07/46.90 (~v166(constB63)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29225, 27591, 29169])).
% 74.07/46.90 tff(29227,plain,
% 74.07/46.90 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB63) | v166(constB63) | (~v197(constB63)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB63) | v166(constB63) | (~v197(constB63)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29228,plain,
% 74.07/46.90 (((~v197(constB63)) | v166(constB63) | v241(constB63)) <=> (v241(constB63) | v166(constB63) | (~v197(constB63)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29229,plain,
% 74.07/46.90 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB63)) | v166(constB63) | v241(constB63))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB63) | v166(constB63) | (~v197(constB63))))),
% 74.07/46.90 inference(monotonicity,[status(thm)],[29228])).
% 74.07/46.90 tff(29230,plain,
% 74.07/46.90 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB63)) | v166(constB63) | v241(constB63))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB63) | v166(constB63) | (~v197(constB63)))),
% 74.07/46.90 inference(transitivity,[status(thm)],[29229, 29227])).
% 74.07/46.90 tff(29231,plain,
% 74.07/46.90 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB63)) | v166(constB63) | v241(constB63))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29232,plain,
% 74.07/46.90 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB63) | v166(constB63) | (~v197(constB63))),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29231, 29230])).
% 74.07/46.90 tff(29233,plain,
% 74.07/46.90 (v241(constB63) | (~v197(constB63))),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29232, 6343, 29226])).
% 74.07/46.90 tff(29234,plain,
% 74.07/46.90 (v241(constB63)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29233, 29185])).
% 74.07/46.90 tff(29235,plain,
% 74.07/46.90 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB63)) | (~v223(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB63)) | (~v223(constB63, bitIndex2)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29236,plain,
% 74.07/46.90 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB63)) | (~v223(constB63, bitIndex2)))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29237,plain,
% 74.07/46.90 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB63)) | (~v223(constB63, bitIndex2))),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29236, 29235])).
% 74.07/46.90 tff(29238,plain,
% 74.07/46.90 (~v223(constB63, bitIndex2)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29237, 6357, 29234])).
% 74.07/46.90 tff(29239,plain,
% 74.07/46.90 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB63) | v223(constB63, bitIndex2) | (~v242(constB63)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB63) | v223(constB63, bitIndex2) | (~v242(constB63)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29240,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB63) | v223(constB63, bitIndex2) | (~v242(constB63)))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29241,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB63) | v223(constB63, bitIndex2) | (~v242(constB63))),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29240, 29239])).
% 74.07/46.90 tff(29242,plain,
% 74.07/46.90 (v225(constB63) | (~v242(constB63))),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29241, 27617, 29238])).
% 74.07/46.90 tff(29243,plain,
% 74.07/46.90 (~v242(constB63)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29242, 29222])).
% 74.07/46.90 tff(29244,plain,
% 74.07/46.90 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB63) | (~v238(constB63)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB63) | (~v238(constB63)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29245,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB63) | (~v238(constB63)))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29246,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB63) | (~v238(constB63))),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29245, 29244])).
% 74.07/46.90 tff(29247,plain,
% 74.07/46.90 (~v238(constB63)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29246, 27632, 29243])).
% 74.07/46.90 tff(29248,plain,
% 74.07/46.90 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB63) | (~v237(constB63)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB63) | (~v237(constB63)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29249,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB63) | (~v237(constB63)))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29250,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB63) | (~v237(constB63))),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29249, 29248])).
% 74.07/46.90 tff(29251,plain,
% 74.07/46.90 (~v237(constB63)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29250, 27643, 29247])).
% 74.07/46.90 tff(29252,plain,
% 74.07/46.90 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB63)) | v223(constB63, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB63)) | v223(constB63, bitIndex2))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29253,plain,
% 74.07/46.90 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB63)) | v223(constB63, bitIndex2))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29254,plain,
% 74.07/46.90 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB63)) | v223(constB63, bitIndex2)),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29253, 29252])).
% 74.07/46.90 tff(29255,plain,
% 74.07/46.90 (~v224(constB63)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29254, 6371, 29238])).
% 74.07/46.90 tff(29256,plain,
% 74.07/46.90 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB63)) | v223(constB63, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB63)) | v223(constB63, bitIndex1))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29257,plain,
% 74.07/46.90 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB63)) | v223(constB63, bitIndex1))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29258,plain,
% 74.07/46.90 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB63)) | v223(constB63, bitIndex1)),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29257, 29256])).
% 74.07/46.90 tff(29259,plain,
% 74.07/46.90 (~v222(constB63)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29258, 6315, 29211])).
% 74.07/46.90 tff(29260,plain,
% 74.07/46.90 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB63) | v224(constB63) | (~v236(constB63)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB63) | v224(constB63) | (~v236(constB63)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29261,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB63) | v224(constB63) | (~v236(constB63)))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29262,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB63) | v224(constB63) | (~v236(constB63))),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29261, 29260])).
% 74.07/46.90 tff(29263,plain,
% 74.07/46.90 (~v236(constB63)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29262, 6385, 29259, 29255])).
% 74.07/46.90 tff(29264,plain,
% 74.07/46.90 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB63) | (~v232(constB63)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB63) | (~v232(constB63)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29265,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB63) | (~v232(constB63)))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29266,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB63) | (~v232(constB63))),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29265, 29264])).
% 74.07/46.90 tff(29267,plain,
% 74.07/46.90 (~v232(constB63)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29266, 6396, 29263])).
% 74.07/46.90 tff(29268,plain,
% 74.07/46.90 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB63) | (~v248(constB63)) | v232(constB63))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB63) | (~v248(constB63)) | v232(constB63))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29269,plain,
% 74.07/46.90 ((v237(constB63) | v232(constB63) | (~v248(constB63))) <=> (v237(constB63) | (~v248(constB63)) | v232(constB63))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29270,plain,
% 74.07/46.90 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB63) | v232(constB63) | (~v248(constB63)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB63) | (~v248(constB63)) | v232(constB63)))),
% 74.07/46.90 inference(monotonicity,[status(thm)],[29269])).
% 74.07/46.90 tff(29271,plain,
% 74.07/46.90 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB63) | v232(constB63) | (~v248(constB63)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB63) | (~v248(constB63)) | v232(constB63))),
% 74.07/46.90 inference(transitivity,[status(thm)],[29270, 29268])).
% 74.07/46.90 tff(29272,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB63) | v232(constB63) | (~v248(constB63)))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29273,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB63) | (~v248(constB63)) | v232(constB63)),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29272, 29271])).
% 74.07/46.90 tff(29274,plain,
% 74.07/46.90 (v237(constB63) | (~v248(constB63))),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29273, 6469, 29267])).
% 74.07/46.90 tff(29275,plain,
% 74.07/46.90 (~v248(constB63)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29274, 29251])).
% 74.07/46.90 tff(29276,plain,
% 74.07/46.90 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB63) | (~v244(constB63)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB63) | (~v244(constB63)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29277,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB63) | (~v244(constB63)))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29278,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB63) | (~v244(constB63))),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29277, 29276])).
% 74.07/46.90 tff(29279,plain,
% 74.07/46.90 (~v244(constB63)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29278, 6484, 29275])).
% 74.07/46.90 tff(29280,plain,
% 74.07/46.90 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB63) | (~v216(constB63, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB63) | (~v216(constB63, bitIndex1)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29281,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB63) | (~v216(constB63, bitIndex1)))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29282,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB63) | (~v216(constB63, bitIndex1))),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29281, 29280])).
% 74.07/46.90 tff(29283,plain,
% 74.07/46.90 (~v216(constB63, bitIndex1)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29282, 6495, 29279])).
% 74.07/46.90 tff(29284,plain,
% 74.07/46.90 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB63, bitIndex1) | (~v254(constB63)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB63, bitIndex1) | (~v254(constB63)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29285,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB63, bitIndex1) | (~v254(constB63)))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29286,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB63, bitIndex1) | (~v254(constB63))),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29285, 29284])).
% 74.07/46.90 tff(29287,plain,
% 74.07/46.90 (~v254(constB63)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29286, 6506, 29283])).
% 74.07/46.90 tff(29288,plain,
% 74.07/46.90 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB63) | (~v231(constB63)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB63) | (~v231(constB63)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29289,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB63) | (~v231(constB63)))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29290,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB63) | (~v231(constB63))),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29289, 29288])).
% 74.07/46.90 tff(29291,plain,
% 74.07/46.90 (~v231(constB63)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29290, 27687, 29267])).
% 74.07/46.90 tff(29292,plain,
% 74.07/46.90 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB63) | (~v221(constB63)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB63) | (~v221(constB63)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29293,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB63) | (~v221(constB63)))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29294,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB63) | (~v221(constB63))),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29293, 29292])).
% 74.07/46.90 tff(29295,plain,
% 74.07/46.90 (~v221(constB63)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29294, 21170, 29259])).
% 74.07/46.90 tff(29296,plain,
% 74.07/46.90 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB63) | v231(constB63) | (~v243(constB63)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB63) | v231(constB63) | (~v243(constB63)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29297,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB63) | v231(constB63) | (~v243(constB63)))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29298,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB63) | v231(constB63) | (~v243(constB63))),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29297, 29296])).
% 74.07/46.90 tff(29299,plain,
% 74.07/46.90 (v231(constB63) | (~v243(constB63))),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29298, 6542, 29295])).
% 74.07/46.90 tff(29300,plain,
% 74.07/46.90 (~v243(constB63)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29299, 29291])).
% 74.07/46.90 tff(29301,plain,
% 74.07/46.90 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB63) | v255(constB63))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB63) | v255(constB63))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29302,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB63) | v255(constB63))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29303,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB63) | v255(constB63)),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29302, 29301])).
% 74.07/46.90 tff(29304,plain,
% 74.07/46.90 (v255(constB63)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29303, 6553, 29300])).
% 74.07/46.90 tff(29305,plain,
% 74.07/46.90 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB63)) | (~v216(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB63)) | (~v216(constB63, bitIndex2)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29306,plain,
% 74.07/46.90 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB63)) | (~v216(constB63, bitIndex2)))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29307,plain,
% 74.07/46.90 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB63)) | (~v216(constB63, bitIndex2))),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29306, 29305])).
% 74.07/46.90 tff(29308,plain,
% 74.07/46.90 (~v216(constB63, bitIndex2)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29307, 6564, 29304])).
% 74.07/46.90 tff(29309,plain,
% 74.07/46.90 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB63, bitIndex2) | v254(constB63) | (~v215(constB63)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB63, bitIndex2) | v254(constB63) | (~v215(constB63)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29310,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB63, bitIndex2) | v254(constB63) | (~v215(constB63)))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29311,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB63, bitIndex2) | v254(constB63) | (~v215(constB63))),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29310, 29309])).
% 74.07/46.90 tff(29312,plain,
% 74.07/46.90 (v254(constB63) | (~v215(constB63))),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29311, 6578, 29308])).
% 74.07/46.90 tff(29313,plain,
% 74.07/46.90 (~v215(constB63)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29312, 29287])).
% 74.07/46.90 tff(29314,plain,
% 74.07/46.90 ($false),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29313, 29146])).
% 74.07/46.90 tff(29315,plain,(~(constB63 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.07/46.90 tff(29316,assumption,(constB167 = sK0_VarCurr), introduced(assumption)).
% 74.07/46.90 tff(29317,plain,
% 74.07/46.90 (v215(constB167) <=> v215(sK0_VarCurr)),
% 74.07/46.90 inference(monotonicity,[status(thm)],[29316])).
% 74.07/46.90 tff(29318,plain,
% 74.07/46.90 (v215(sK0_VarCurr) <=> v215(constB167)),
% 74.07/46.90 inference(symmetry,[status(thm)],[29317])).
% 74.07/46.90 tff(29319,plain,
% 74.07/46.90 (v215(constB167)),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[28, 29318])).
% 74.07/46.90 tff(29320,plain,
% 74.07/46.90 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB167, bitIndex2)) | v88(constB167, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB167, bitIndex2)) | v88(constB167, bitIndex2))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29321,plain,
% 74.07/46.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB167, bitIndex2)) | v88(constB167, bitIndex2))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29322,plain,
% 74.07/46.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB167, bitIndex2)) | v88(constB167, bitIndex2)),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29321, 29320])).
% 74.07/46.90 tff(29323,plain,
% 74.07/46.90 (v88(constB167, bitIndex2)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29322, 6015, 24148])).
% 74.07/46.90 tff(29324,plain,
% 74.07/46.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB167, bitIndex2)) | (~v140(constB167)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB167, bitIndex2)) | (~v140(constB167)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29325,plain,
% 74.07/46.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB167, bitIndex2)) | (~v140(constB167)))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29326,plain,
% 74.07/46.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB167, bitIndex2)) | (~v140(constB167))),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29325, 29324])).
% 74.07/46.90 tff(29327,plain,
% 74.07/46.90 (~v140(constB167)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29326, 6026, 29323])).
% 74.07/46.90 tff(29328,plain,
% 74.07/46.90 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB167, bitIndex0)) | v88(constB167, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB167, bitIndex0)) | v88(constB167, bitIndex0))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29329,plain,
% 74.07/46.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB167, bitIndex0)) | v88(constB167, bitIndex0))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29330,plain,
% 74.07/46.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB167, bitIndex0)) | v88(constB167, bitIndex0)),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29329, 29328])).
% 74.07/46.90 tff(29331,plain,
% 74.07/46.90 (v88(constB167, bitIndex0)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29330, 6074, 24213])).
% 74.07/46.90 tff(29332,plain,
% 74.07/46.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB167, bitIndex0)) | (~v139(constB167)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB167, bitIndex0)) | (~v139(constB167)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29333,plain,
% 74.07/46.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB167, bitIndex0)) | (~v139(constB167)))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29334,plain,
% 74.07/46.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB167, bitIndex0)) | (~v139(constB167))),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29333, 29332])).
% 74.07/46.90 tff(29335,plain,
% 74.07/46.90 (~v139(constB167)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29334, 6085, 29331])).
% 74.07/46.90 tff(29336,plain,
% 74.07/46.90 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB167) | v139(constB167) | (~v200(constB167)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB167) | v139(constB167) | (~v200(constB167)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29337,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB167) | v139(constB167) | (~v200(constB167)))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29338,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB167) | v139(constB167) | (~v200(constB167))),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29337, 29336])).
% 74.07/46.90 tff(29339,plain,
% 74.07/46.90 (~v200(constB167)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29338, 6102, 29335, 29327])).
% 74.07/46.90 tff(29340,plain,
% 74.07/46.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB167, bitIndex2)) | (~v141(constB167)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB167, bitIndex2)) | (~v141(constB167)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29341,plain,
% 74.07/46.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB167, bitIndex2)) | (~v141(constB167)))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29342,plain,
% 74.07/46.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB167, bitIndex2)) | (~v141(constB167))),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29341, 29340])).
% 74.07/46.90 tff(29343,plain,
% 74.07/46.90 (~v141(constB167)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29342, 6116, 29323])).
% 74.07/46.90 tff(29344,plain,
% 74.07/46.90 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB167) | v200(constB167) | (~v199(constB167)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB167) | v200(constB167) | (~v199(constB167)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29345,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB167) | v200(constB167) | (~v199(constB167)))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29346,plain,
% 74.07/46.90 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB167) | v200(constB167) | (~v199(constB167))),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29345, 29344])).
% 74.07/46.90 tff(29347,plain,
% 74.07/46.90 (~v199(constB167)),
% 74.07/46.90 inference(unit_resolution,[status(thm)],[29346, 6133, 29343, 29339])).
% 74.07/46.90 tff(29348,plain,
% 74.07/46.90 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB167, bitIndex0)) | (~v143(constB167)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB167, bitIndex0)) | (~v143(constB167)))),
% 74.07/46.90 inference(rewrite,[status(thm)],[])).
% 74.07/46.90 tff(29349,plain,
% 74.07/46.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB167, bitIndex0)) | (~v143(constB167)))),
% 74.07/46.90 inference(quant_inst,[status(thm)],[])).
% 74.07/46.90 tff(29350,plain,
% 74.07/46.90 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB167, bitIndex0)) | (~v143(constB167))),
% 74.07/46.90 inference(modus_ponens,[status(thm)],[29349, 29348])).
% 74.07/46.90 tff(29351,plain,
% 74.07/46.91 (~v143(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29350, 6144, 29331])).
% 74.07/46.91 tff(29352,plain,
% 74.07/46.91 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB167, bitIndex0)) | (~v144(constB167)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB167, bitIndex0)) | (~v144(constB167)))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29353,plain,
% 74.07/46.91 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB167, bitIndex0)) | (~v144(constB167)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29354,plain,
% 74.07/46.91 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB167, bitIndex0)) | (~v144(constB167))),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29353, 29352])).
% 74.07/46.91 tff(29355,plain,
% 74.07/46.91 (~v144(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29354, 6158, 29331])).
% 74.07/46.91 tff(29356,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB167) | v144(constB167) | (~v142(constB167)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB167) | v144(constB167) | (~v142(constB167)))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29357,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB167) | v144(constB167) | (~v142(constB167)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29358,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB167) | v144(constB167) | (~v142(constB167))),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29357, 29356])).
% 74.07/46.91 tff(29359,plain,
% 74.07/46.91 (~v142(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29358, 6175, 29355, 29351])).
% 74.07/46.91 tff(29360,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB167) | v199(constB167) | (~v183(constB167)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB167) | v199(constB167) | (~v183(constB167)))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29361,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB167) | v199(constB167) | (~v183(constB167)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29362,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB167) | v199(constB167) | (~v183(constB167))),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29361, 29360])).
% 74.07/46.91 tff(29363,plain,
% 74.07/46.91 (~v183(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29362, 6189, 29359, 29347])).
% 74.07/46.91 tff(29364,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB167, bitIndex1) | (~v88(constB167, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB167, bitIndex1) | (~v88(constB167, bitIndex1)))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29365,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB167, bitIndex1) | (~v88(constB167, bitIndex1)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29366,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB167, bitIndex1) | (~v88(constB167, bitIndex1))),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29365, 29364])).
% 74.07/46.91 tff(29367,plain,
% 74.07/46.91 (~v88(constB167, bitIndex1)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29366, 6234, 24182])).
% 74.07/46.91 tff(29368,plain,
% 74.07/46.91 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB167, bitIndex0)) | v147(constB167) | (~v88(constB167, bitIndex2)) | v88(constB167, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB167, bitIndex0)) | v147(constB167) | (~v88(constB167, bitIndex2)) | v88(constB167, bitIndex1))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29369,plain,
% 74.07/46.91 (((~v88(constB167, bitIndex2)) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)) | v147(constB167)) <=> ((~v88(constB167, bitIndex0)) | v147(constB167) | (~v88(constB167, bitIndex2)) | v88(constB167, bitIndex1))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29370,plain,
% 74.07/46.91 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB167, bitIndex2)) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)) | v147(constB167))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB167, bitIndex0)) | v147(constB167) | (~v88(constB167, bitIndex2)) | v88(constB167, bitIndex1)))),
% 74.07/46.91 inference(monotonicity,[status(thm)],[29369])).
% 74.07/46.91 tff(29371,plain,
% 74.07/46.91 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB167, bitIndex2)) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)) | v147(constB167))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB167, bitIndex0)) | v147(constB167) | (~v88(constB167, bitIndex2)) | v88(constB167, bitIndex1))),
% 74.07/46.91 inference(transitivity,[status(thm)],[29370, 29368])).
% 74.07/46.91 tff(29372,plain,
% 74.07/46.91 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB167, bitIndex2)) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)) | v147(constB167))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29373,plain,
% 74.07/46.91 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB167, bitIndex0)) | v147(constB167) | (~v88(constB167, bitIndex2)) | v88(constB167, bitIndex1)),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29372, 29371])).
% 74.07/46.91 tff(29374,plain,
% 74.07/46.91 (v147(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29373, 6248, 29331, 29323, 29367])).
% 74.07/46.91 tff(29375,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB167) | (~v147(constB167)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB167) | (~v147(constB167)))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29376,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB167) | (~v147(constB167)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29377,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB167) | (~v147(constB167))),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29376, 29375])).
% 74.07/46.91 tff(29378,plain,
% 74.07/46.91 (v145(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29377, 6262, 29374])).
% 74.07/46.91 tff(29379,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB167) | (~v145(constB167)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB167) | (~v145(constB167)))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29380,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB167) | (~v145(constB167)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29381,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB167) | (~v145(constB167))),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29380, 29379])).
% 74.07/46.91 tff(29382,plain,
% 74.07/46.91 (v197(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29381, 6273, 29378])).
% 74.07/46.91 tff(29383,plain,
% 74.07/46.91 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB167) | v183(constB167) | (~v197(constB167)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB167) | v183(constB167) | (~v197(constB167)))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29384,plain,
% 74.07/46.91 (((~v197(constB167)) | v183(constB167) | v228(constB167)) <=> (v228(constB167) | v183(constB167) | (~v197(constB167)))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29385,plain,
% 74.07/46.91 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB167)) | v183(constB167) | v228(constB167))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB167) | v183(constB167) | (~v197(constB167))))),
% 74.07/46.91 inference(monotonicity,[status(thm)],[29384])).
% 74.07/46.91 tff(29386,plain,
% 74.07/46.91 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB167)) | v183(constB167) | v228(constB167))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB167) | v183(constB167) | (~v197(constB167)))),
% 74.07/46.91 inference(transitivity,[status(thm)],[29385, 29383])).
% 74.07/46.91 tff(29387,plain,
% 74.07/46.91 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB167)) | v183(constB167) | v228(constB167))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29388,plain,
% 74.07/46.91 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB167) | v183(constB167) | (~v197(constB167))),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29387, 29386])).
% 74.07/46.91 tff(29389,plain,
% 74.07/46.91 (v228(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29388, 6287, 29382, 29363])).
% 74.07/46.91 tff(29390,plain,
% 74.07/46.91 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB167)) | (~v223(constB167, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB167)) | (~v223(constB167, bitIndex1)))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29391,plain,
% 74.07/46.91 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB167)) | (~v223(constB167, bitIndex1)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29392,plain,
% 74.07/46.91 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB167)) | (~v223(constB167, bitIndex1))),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29391, 29390])).
% 74.07/46.91 tff(29393,plain,
% 74.07/46.91 (~v223(constB167, bitIndex1)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29392, 6301, 29389])).
% 74.07/46.91 tff(29394,plain,
% 74.07/46.91 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB167)) | v223(constB167, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB167)) | v223(constB167, bitIndex1))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29395,plain,
% 74.07/46.91 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB167)) | v223(constB167, bitIndex1))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29396,plain,
% 74.07/46.91 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB167)) | v223(constB167, bitIndex1)),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29395, 29394])).
% 74.07/46.91 tff(29397,plain,
% 74.07/46.91 (~v222(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29396, 6315, 29393])).
% 74.07/46.91 tff(29398,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB167) | v200(constB167) | (~v166(constB167)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB167) | v200(constB167) | (~v166(constB167)))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29399,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB167) | v200(constB167) | (~v166(constB167)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29400,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB167) | v200(constB167) | (~v166(constB167))),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29399, 29398])).
% 74.07/46.91 tff(29401,plain,
% 74.07/46.91 (~v166(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29400, 6329, 29343, 29339])).
% 74.07/46.91 tff(29402,plain,
% 74.07/46.91 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB167) | (~v197(constB167)) | v166(constB167))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB167) | (~v197(constB167)) | v166(constB167))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29403,plain,
% 74.07/46.91 (((~v197(constB167)) | v166(constB167) | v241(constB167)) <=> (v241(constB167) | (~v197(constB167)) | v166(constB167))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29404,plain,
% 74.07/46.91 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB167)) | v166(constB167) | v241(constB167))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB167) | (~v197(constB167)) | v166(constB167)))),
% 74.07/46.91 inference(monotonicity,[status(thm)],[29403])).
% 74.07/46.91 tff(29405,plain,
% 74.07/46.91 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB167)) | v166(constB167) | v241(constB167))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB167) | (~v197(constB167)) | v166(constB167))),
% 74.07/46.91 inference(transitivity,[status(thm)],[29404, 29402])).
% 74.07/46.91 tff(29406,plain,
% 74.07/46.91 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB167)) | v166(constB167) | v241(constB167))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29407,plain,
% 74.07/46.91 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB167) | (~v197(constB167)) | v166(constB167)),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29406, 29405])).
% 74.07/46.91 tff(29408,plain,
% 74.07/46.91 (v241(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29407, 6343, 29382, 29401])).
% 74.07/46.91 tff(29409,plain,
% 74.07/46.91 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB167)) | (~v223(constB167, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB167)) | (~v223(constB167, bitIndex2)))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29410,plain,
% 74.07/46.91 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB167)) | (~v223(constB167, bitIndex2)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29411,plain,
% 74.07/46.91 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB167)) | (~v223(constB167, bitIndex2))),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29410, 29409])).
% 74.07/46.91 tff(29412,plain,
% 74.07/46.91 (~v223(constB167, bitIndex2)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29411, 6357, 29408])).
% 74.07/46.91 tff(29413,plain,
% 74.07/46.91 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB167)) | v223(constB167, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB167)) | v223(constB167, bitIndex2))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29414,plain,
% 74.07/46.91 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB167)) | v223(constB167, bitIndex2))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29415,plain,
% 74.07/46.91 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB167)) | v223(constB167, bitIndex2)),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29414, 29413])).
% 74.07/46.91 tff(29416,plain,
% 74.07/46.91 (~v224(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29415, 6371, 29412])).
% 74.07/46.91 tff(29417,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB167) | v224(constB167) | (~v236(constB167)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB167) | v224(constB167) | (~v236(constB167)))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29418,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB167) | v224(constB167) | (~v236(constB167)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29419,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB167) | v224(constB167) | (~v236(constB167))),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29418, 29417])).
% 74.07/46.91 tff(29420,plain,
% 74.07/46.91 (~v236(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29419, 6385, 29416, 29397])).
% 74.07/46.91 tff(29421,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB167) | (~v232(constB167)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB167) | (~v232(constB167)))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29422,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB167) | (~v232(constB167)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29423,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB167) | (~v232(constB167))),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29422, 29421])).
% 74.07/46.91 tff(29424,plain,
% 74.07/46.91 (~v232(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29423, 6396, 29420])).
% 74.07/46.91 tff(29425,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB167) | v139(constB167) | (~v148(constB167)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB167) | v139(constB167) | (~v148(constB167)))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29426,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB167) | v139(constB167) | (~v148(constB167)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29427,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB167) | v139(constB167) | (~v148(constB167))),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29426, 29425])).
% 74.07/46.91 tff(29428,plain,
% 74.07/46.91 (~v148(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29427, 6410, 29335, 29327])).
% 74.07/46.91 tff(29429,plain,
% 74.07/46.91 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB167) | (~v197(constB167)) | v148(constB167))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB167) | (~v197(constB167)) | v148(constB167))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29430,plain,
% 74.07/46.91 ((v148(constB167) | (~v197(constB167)) | v252(constB167)) <=> (v252(constB167) | (~v197(constB167)) | v148(constB167))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29431,plain,
% 74.07/46.91 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB167) | (~v197(constB167)) | v252(constB167))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB167) | (~v197(constB167)) | v148(constB167)))),
% 74.07/46.91 inference(monotonicity,[status(thm)],[29430])).
% 74.07/46.91 tff(29432,plain,
% 74.07/46.91 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB167) | (~v197(constB167)) | v252(constB167))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB167) | (~v197(constB167)) | v148(constB167))),
% 74.07/46.91 inference(transitivity,[status(thm)],[29431, 29429])).
% 74.07/46.91 tff(29433,plain,
% 74.07/46.91 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB167) | (~v197(constB167)) | v252(constB167))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29434,plain,
% 74.07/46.91 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB167) | (~v197(constB167)) | v148(constB167)),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29433, 29432])).
% 74.07/46.91 tff(29435,plain,
% 74.07/46.91 (v252(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29434, 6427, 29382, 29428])).
% 74.07/46.91 tff(29436,plain,
% 74.07/46.91 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB167)) | (~v223(constB167, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB167)) | (~v223(constB167, bitIndex3)))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29437,plain,
% 74.07/46.91 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB167)) | (~v223(constB167, bitIndex3)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29438,plain,
% 74.07/46.91 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB167)) | (~v223(constB167, bitIndex3))),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29437, 29436])).
% 74.07/46.91 tff(29439,plain,
% 74.07/46.91 (~v223(constB167, bitIndex3)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29438, 6441, 29435])).
% 74.07/46.91 tff(29440,plain,
% 74.07/46.91 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB167)) | v223(constB167, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB167)) | v223(constB167, bitIndex3))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29441,plain,
% 74.07/46.91 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB167)) | v223(constB167, bitIndex3))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29442,plain,
% 74.07/46.91 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB167)) | v223(constB167, bitIndex3)),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29441, 29440])).
% 74.07/46.91 tff(29443,plain,
% 74.07/46.91 (~v237(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29442, 6455, 29439])).
% 74.07/46.91 tff(29444,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB167) | (~v248(constB167)) | v232(constB167))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB167) | (~v248(constB167)) | v232(constB167))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29445,plain,
% 74.07/46.91 ((v237(constB167) | v232(constB167) | (~v248(constB167))) <=> (v237(constB167) | (~v248(constB167)) | v232(constB167))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29446,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB167) | v232(constB167) | (~v248(constB167)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB167) | (~v248(constB167)) | v232(constB167)))),
% 74.07/46.91 inference(monotonicity,[status(thm)],[29445])).
% 74.07/46.91 tff(29447,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB167) | v232(constB167) | (~v248(constB167)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB167) | (~v248(constB167)) | v232(constB167))),
% 74.07/46.91 inference(transitivity,[status(thm)],[29446, 29444])).
% 74.07/46.91 tff(29448,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB167) | v232(constB167) | (~v248(constB167)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29449,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB167) | (~v248(constB167)) | v232(constB167)),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29448, 29447])).
% 74.07/46.91 tff(29450,plain,
% 74.07/46.91 ((~v248(constB167)) | v232(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29449, 6469, 29443])).
% 74.07/46.91 tff(29451,plain,
% 74.07/46.91 (~v248(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29450, 29424])).
% 74.07/46.91 tff(29452,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB167) | (~v244(constB167)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB167) | (~v244(constB167)))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29453,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB167) | (~v244(constB167)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29454,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB167) | (~v244(constB167))),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29453, 29452])).
% 74.07/46.91 tff(29455,plain,
% 74.07/46.91 (~v244(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29454, 6484, 29451])).
% 74.07/46.91 tff(29456,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB167) | (~v216(constB167, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB167) | (~v216(constB167, bitIndex1)))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29457,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB167) | (~v216(constB167, bitIndex1)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29458,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB167) | (~v216(constB167, bitIndex1))),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29457, 29456])).
% 74.07/46.91 tff(29459,plain,
% 74.07/46.91 (~v216(constB167, bitIndex1)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29458, 6495, 29455])).
% 74.07/46.91 tff(29460,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB167)) | v216(constB167, bitIndex1))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB167)) | v216(constB167, bitIndex1))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29461,plain,
% 74.07/46.91 ((v216(constB167, bitIndex1) | (~v254(constB167))) <=> ((~v254(constB167)) | v216(constB167, bitIndex1))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29462,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB167, bitIndex1) | (~v254(constB167)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB167)) | v216(constB167, bitIndex1)))),
% 74.07/46.91 inference(monotonicity,[status(thm)],[29461])).
% 74.07/46.91 tff(29463,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB167, bitIndex1) | (~v254(constB167)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB167)) | v216(constB167, bitIndex1))),
% 74.07/46.91 inference(transitivity,[status(thm)],[29462, 29460])).
% 74.07/46.91 tff(29464,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB167, bitIndex1) | (~v254(constB167)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29465,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB167)) | v216(constB167, bitIndex1)),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29464, 29463])).
% 74.07/46.91 tff(29466,plain,
% 74.07/46.91 (~v254(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29465, 6506, 29459])).
% 74.07/46.91 tff(29467,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB167) | (~v221(constB167)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB167) | (~v221(constB167)))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29468,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB167) | (~v221(constB167)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29469,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB167) | (~v221(constB167))),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29468, 29467])).
% 74.07/46.91 tff(29470,plain,
% 74.07/46.91 (~v221(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29469, 6517, 29416])).
% 74.07/46.91 tff(29471,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB167) | (~v231(constB167)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB167) | (~v231(constB167)))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29472,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB167) | (~v231(constB167)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29473,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB167) | (~v231(constB167))),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29472, 29471])).
% 74.07/46.91 tff(29474,plain,
% 74.07/46.91 (~v231(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29473, 6528, 29443])).
% 74.07/46.91 tff(29475,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB167) | v231(constB167) | (~v243(constB167)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB167) | v231(constB167) | (~v243(constB167)))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29476,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB167) | v231(constB167) | (~v243(constB167)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29477,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB167) | v231(constB167) | (~v243(constB167))),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29476, 29475])).
% 74.07/46.91 tff(29478,plain,
% 74.07/46.91 (~v243(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29477, 6542, 29474, 29470])).
% 74.07/46.91 tff(29479,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB167) | v255(constB167))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB167) | v255(constB167))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29480,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB167) | v255(constB167))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29481,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB167) | v255(constB167)),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29480, 29479])).
% 74.07/46.91 tff(29482,plain,
% 74.07/46.91 (v255(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29481, 6553, 29478])).
% 74.07/46.91 tff(29483,plain,
% 74.07/46.91 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB167)) | (~v216(constB167, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB167)) | (~v216(constB167, bitIndex2)))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29484,plain,
% 74.07/46.91 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB167)) | (~v216(constB167, bitIndex2)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29485,plain,
% 74.07/46.91 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB167)) | (~v216(constB167, bitIndex2))),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29484, 29483])).
% 74.07/46.91 tff(29486,plain,
% 74.07/46.91 (~v216(constB167, bitIndex2)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29485, 6564, 29482])).
% 74.07/46.91 tff(29487,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB167)) | v216(constB167, bitIndex2) | v254(constB167))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB167)) | v216(constB167, bitIndex2) | v254(constB167))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29488,plain,
% 74.07/46.91 ((v216(constB167, bitIndex2) | v254(constB167) | (~v215(constB167))) <=> ((~v215(constB167)) | v216(constB167, bitIndex2) | v254(constB167))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29489,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB167, bitIndex2) | v254(constB167) | (~v215(constB167)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB167)) | v216(constB167, bitIndex2) | v254(constB167)))),
% 74.07/46.91 inference(monotonicity,[status(thm)],[29488])).
% 74.07/46.91 tff(29490,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB167, bitIndex2) | v254(constB167) | (~v215(constB167)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB167)) | v216(constB167, bitIndex2) | v254(constB167))),
% 74.07/46.91 inference(transitivity,[status(thm)],[29489, 29487])).
% 74.07/46.91 tff(29491,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB167, bitIndex2) | v254(constB167) | (~v215(constB167)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29492,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB167)) | v216(constB167, bitIndex2) | v254(constB167)),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29491, 29490])).
% 74.07/46.91 tff(29493,plain,
% 74.07/46.91 ((~v215(constB167)) | v254(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29492, 6578, 29486])).
% 74.07/46.91 tff(29494,plain,
% 74.07/46.91 (~v215(constB167)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29493, 29466])).
% 74.07/46.91 tff(29495,plain,
% 74.07/46.91 ($false),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29494, 29319])).
% 74.07/46.91 tff(29496,plain,(~(constB167 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.07/46.91 tff(29497,assumption,(constB187 = sK0_VarCurr), introduced(assumption)).
% 74.07/46.91 tff(29498,plain,
% 74.07/46.91 (v215(constB187) <=> v215(sK0_VarCurr)),
% 74.07/46.91 inference(monotonicity,[status(thm)],[29497])).
% 74.07/46.91 tff(29499,plain,
% 74.07/46.91 (v215(sK0_VarCurr) <=> v215(constB187)),
% 74.07/46.91 inference(symmetry,[status(thm)],[29498])).
% 74.07/46.91 tff(29500,plain,
% 74.07/46.91 (v215(constB187)),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[28, 29499])).
% 74.07/46.91 tff(29501,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB187, bitIndex2) | (~v88(constB187, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB187, bitIndex2) | (~v88(constB187, bitIndex2)))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29502,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB187, bitIndex2) | (~v88(constB187, bitIndex2)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29503,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB187, bitIndex2) | (~v88(constB187, bitIndex2))),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29502, 29501])).
% 74.07/46.91 tff(29504,plain,
% 74.07/46.91 (~v88(constB187, bitIndex2)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29503, 20913, 26657])).
% 74.07/46.91 tff(29505,plain,
% 74.07/46.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB187, bitIndex1)) | v88(constB187, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB187, bitIndex1)) | v88(constB187, bitIndex1))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29506,plain,
% 74.07/46.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB187, bitIndex1)) | v88(constB187, bitIndex1))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29507,plain,
% 74.07/46.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB187, bitIndex1)) | v88(constB187, bitIndex1)),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29506, 29505])).
% 74.07/46.91 tff(29508,plain,
% 74.07/46.91 (v88(constB187, bitIndex1)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29507, 20927, 26688])).
% 74.07/46.91 tff(29509,plain,
% 74.07/46.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB187, bitIndex0)) | v88(constB187, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB187, bitIndex0)) | v88(constB187, bitIndex0))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29510,plain,
% 74.07/46.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB187, bitIndex0)) | v88(constB187, bitIndex0))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29511,plain,
% 74.07/46.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB187, bitIndex0)) | v88(constB187, bitIndex0)),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29510, 29509])).
% 74.07/46.91 tff(29512,plain,
% 74.07/46.91 (v88(constB187, bitIndex0)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29511, 6074, 26719])).
% 74.07/46.91 tff(29513,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB187, bitIndex1)) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)) | v141(constB187))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB187, bitIndex1)) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)) | v141(constB187))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29514,plain,
% 74.07/46.91 ((v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0)) | v141(constB187)) <=> ((~v88(constB187, bitIndex1)) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)) | v141(constB187))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29515,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0)) | v141(constB187))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB187, bitIndex1)) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)) | v141(constB187)))),
% 74.07/46.91 inference(monotonicity,[status(thm)],[29514])).
% 74.07/46.91 tff(29516,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0)) | v141(constB187))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB187, bitIndex1)) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)) | v141(constB187))),
% 74.07/46.91 inference(transitivity,[status(thm)],[29515, 29513])).
% 74.07/46.91 tff(29517,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0)) | v141(constB187))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29518,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB187, bitIndex1)) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)) | v141(constB187)),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29517, 29516])).
% 74.07/46.91 tff(29519,plain,
% 74.07/46.91 (v141(constB187)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29518, 20945, 29512, 29508, 29504])).
% 74.07/46.91 tff(29520,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB187) | (~v141(constB187)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB187) | (~v141(constB187)))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29521,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB187) | (~v141(constB187)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29522,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB187) | (~v141(constB187))),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29521, 29520])).
% 74.07/46.91 tff(29523,plain,
% 74.07/46.91 (v199(constB187)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29522, 20959, 29519])).
% 74.07/46.91 tff(29524,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB187) | (~v199(constB187)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB187) | (~v199(constB187)))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29525,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB187) | (~v199(constB187)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29526,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB187) | (~v199(constB187))),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29525, 29524])).
% 74.07/46.91 tff(29527,plain,
% 74.07/46.91 (v198(constB187)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29526, 20970, 29523])).
% 74.07/46.91 tff(29528,plain,
% 74.07/46.91 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB187)) | (~v201(constB187)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB187)) | (~v201(constB187)))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29529,plain,
% 74.07/46.91 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB187)) | (~v201(constB187)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29530,plain,
% 74.07/46.91 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB187)) | (~v201(constB187))),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29529, 29528])).
% 74.07/46.91 tff(29531,plain,
% 74.07/46.91 (~v201(constB187)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29530, 20984, 29527])).
% 74.07/46.91 tff(29532,plain,
% 74.07/46.91 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB187) | (~v198(constB187)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB187) | (~v198(constB187)))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29533,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB187) | (~v198(constB187)))),
% 74.07/46.91 inference(quant_inst,[status(thm)],[])).
% 74.07/46.91 tff(29534,plain,
% 74.07/46.91 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB187) | (~v198(constB187))),
% 74.07/46.91 inference(modus_ponens,[status(thm)],[29533, 29532])).
% 74.07/46.91 tff(29535,plain,
% 74.07/46.91 (v197(constB187)),
% 74.07/46.91 inference(unit_resolution,[status(thm)],[29534, 20995, 29527])).
% 74.07/46.91 tff(29536,plain,
% 74.07/46.91 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB187) | (~v197(constB187)) | v201(constB187))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB187) | (~v197(constB187)) | v201(constB187))),
% 74.07/46.91 inference(rewrite,[status(thm)],[])).
% 74.07/46.91 tff(29537,plain,
% 74.09/46.92 (((~v197(constB187)) | v201(constB187) | v227(constB187)) <=> (v227(constB187) | (~v197(constB187)) | v201(constB187))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29538,plain,
% 74.09/46.92 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB187)) | v201(constB187) | v227(constB187))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB187) | (~v197(constB187)) | v201(constB187)))),
% 74.09/46.92 inference(monotonicity,[status(thm)],[29537])).
% 74.09/46.92 tff(29539,plain,
% 74.09/46.92 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB187)) | v201(constB187) | v227(constB187))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB187) | (~v197(constB187)) | v201(constB187))),
% 74.09/46.92 inference(transitivity,[status(thm)],[29538, 29536])).
% 74.09/46.92 tff(29540,plain,
% 74.09/46.92 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB187)) | v201(constB187) | v227(constB187))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29541,plain,
% 74.09/46.92 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB187) | (~v197(constB187)) | v201(constB187)),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29540, 29539])).
% 74.09/46.92 tff(29542,plain,
% 74.09/46.92 (v227(constB187)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29541, 21009, 29535, 29531])).
% 74.09/46.92 tff(29543,plain,
% 74.09/46.92 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB187)) | (~v223(constB187, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB187)) | (~v223(constB187, bitIndex0)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29544,plain,
% 74.09/46.92 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB187)) | (~v223(constB187, bitIndex0)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29545,plain,
% 74.09/46.92 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB187)) | (~v223(constB187, bitIndex0))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29544, 29543])).
% 74.09/46.92 tff(29546,plain,
% 74.09/46.92 (~v223(constB187, bitIndex0)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29545, 21023, 29542])).
% 74.09/46.92 tff(29547,plain,
% 74.09/46.92 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB187)) | (~v199(constB187)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB187)) | (~v199(constB187)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29548,plain,
% 74.09/46.92 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB187)) | (~v199(constB187)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29549,plain,
% 74.09/46.92 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB187)) | (~v199(constB187))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29548, 29547])).
% 74.09/46.92 tff(29550,plain,
% 74.09/46.92 (~v183(constB187)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29549, 21034, 29523])).
% 74.09/46.92 tff(29551,plain,
% 74.09/46.92 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB187) | v183(constB187) | (~v197(constB187)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB187) | v183(constB187) | (~v197(constB187)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29552,plain,
% 74.09/46.92 (((~v197(constB187)) | v183(constB187) | v228(constB187)) <=> (v228(constB187) | v183(constB187) | (~v197(constB187)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29553,plain,
% 74.09/46.92 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB187)) | v183(constB187) | v228(constB187))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB187) | v183(constB187) | (~v197(constB187))))),
% 74.09/46.92 inference(monotonicity,[status(thm)],[29552])).
% 74.09/46.92 tff(29554,plain,
% 74.09/46.92 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB187)) | v183(constB187) | v228(constB187))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB187) | v183(constB187) | (~v197(constB187)))),
% 74.09/46.92 inference(transitivity,[status(thm)],[29553, 29551])).
% 74.09/46.92 tff(29555,plain,
% 74.09/46.92 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB187)) | v183(constB187) | v228(constB187))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29556,plain,
% 74.09/46.92 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB187) | v183(constB187) | (~v197(constB187))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29555, 29554])).
% 74.09/46.92 tff(29557,plain,
% 74.09/46.92 (v228(constB187)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29556, 6287, 29535, 29550])).
% 74.09/46.92 tff(29558,plain,
% 74.09/46.92 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB187)) | (~v223(constB187, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB187)) | (~v223(constB187, bitIndex1)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29559,plain,
% 74.09/46.92 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB187)) | (~v223(constB187, bitIndex1)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29560,plain,
% 74.09/46.92 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB187)) | (~v223(constB187, bitIndex1))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29559, 29558])).
% 74.09/46.92 tff(29561,plain,
% 74.09/46.92 (~v223(constB187, bitIndex1)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29560, 6301, 29557])).
% 74.09/46.92 tff(29562,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB187, bitIndex0) | v223(constB187, bitIndex1) | (~v229(constB187)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB187, bitIndex0) | v223(constB187, bitIndex1) | (~v229(constB187)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29563,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB187, bitIndex0) | v223(constB187, bitIndex1) | (~v229(constB187)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29564,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB187, bitIndex0) | v223(constB187, bitIndex1) | (~v229(constB187))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29563, 29562])).
% 74.09/46.92 tff(29565,plain,
% 74.09/46.92 (~v229(constB187)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29564, 21059, 29561, 29546])).
% 74.09/46.92 tff(29566,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB187) | (~v225(constB187)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB187) | (~v225(constB187)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29567,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB187) | (~v225(constB187)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29568,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB187) | (~v225(constB187))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29567, 29566])).
% 74.09/46.92 tff(29569,plain,
% 74.09/46.92 (~v225(constB187)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29568, 21073, 29565])).
% 74.09/46.92 tff(29570,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB187) | (~v224(constB187)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB187) | (~v224(constB187)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29571,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB187) | (~v224(constB187)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29572,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB187) | (~v224(constB187))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29571, 29570])).
% 74.09/46.92 tff(29573,plain,
% 74.09/46.92 (~v224(constB187)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29572, 21084, 29569])).
% 74.09/46.92 tff(29574,plain,
% 74.09/46.92 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB187)) | v223(constB187, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB187)) | v223(constB187, bitIndex1))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29575,plain,
% 74.09/46.92 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB187)) | v223(constB187, bitIndex1))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29576,plain,
% 74.09/46.92 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB187)) | v223(constB187, bitIndex1)),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29575, 29574])).
% 74.09/46.92 tff(29577,plain,
% 74.09/46.92 (~v222(constB187)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29576, 6315, 29561])).
% 74.09/46.92 tff(29578,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB187) | v224(constB187) | (~v236(constB187)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB187) | v224(constB187) | (~v236(constB187)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29579,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB187) | v224(constB187) | (~v236(constB187)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29580,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB187) | v224(constB187) | (~v236(constB187))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29579, 29578])).
% 74.09/46.92 tff(29581,plain,
% 74.09/46.92 (v224(constB187) | (~v236(constB187))),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29580, 6385, 29577])).
% 74.09/46.92 tff(29582,plain,
% 74.09/46.92 (~v236(constB187)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29581, 29573])).
% 74.09/46.92 tff(29583,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB187) | (~v232(constB187)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB187) | (~v232(constB187)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29584,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB187) | (~v232(constB187)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29585,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB187) | (~v232(constB187))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29584, 29583])).
% 74.09/46.92 tff(29586,plain,
% 74.09/46.92 (~v232(constB187)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29585, 6396, 29582])).
% 74.09/46.92 tff(29587,plain,
% 74.09/46.92 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB187, bitIndex1)) | (~v140(constB187)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB187, bitIndex1)) | (~v140(constB187)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29588,plain,
% 74.09/46.92 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB187, bitIndex1)) | (~v140(constB187)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29589,plain,
% 74.09/46.92 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB187, bitIndex1)) | (~v140(constB187))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29588, 29587])).
% 74.09/46.92 tff(29590,plain,
% 74.09/46.92 (~v140(constB187)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29589, 21108, 29508])).
% 74.09/46.92 tff(29591,plain,
% 74.09/46.92 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB187, bitIndex0)) | (~v139(constB187)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB187, bitIndex0)) | (~v139(constB187)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29592,plain,
% 74.09/46.92 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB187, bitIndex0)) | (~v139(constB187)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29593,plain,
% 74.09/46.92 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB187, bitIndex0)) | (~v139(constB187))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29592, 29591])).
% 74.09/46.92 tff(29594,plain,
% 74.09/46.92 (~v139(constB187)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29593, 6085, 29512])).
% 74.09/46.92 tff(29595,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB187) | v139(constB187) | (~v148(constB187)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB187) | v139(constB187) | (~v148(constB187)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29596,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB187) | v139(constB187) | (~v148(constB187)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29597,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB187) | v139(constB187) | (~v148(constB187))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29596, 29595])).
% 74.09/46.92 tff(29598,plain,
% 74.09/46.92 (~v148(constB187)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29597, 6410, 29594, 29590])).
% 74.09/46.92 tff(29599,plain,
% 74.09/46.92 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB187) | v148(constB187) | (~v197(constB187)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB187) | v148(constB187) | (~v197(constB187)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29600,plain,
% 74.09/46.92 ((v148(constB187) | (~v197(constB187)) | v252(constB187)) <=> (v252(constB187) | v148(constB187) | (~v197(constB187)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29601,plain,
% 74.09/46.92 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB187) | (~v197(constB187)) | v252(constB187))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB187) | v148(constB187) | (~v197(constB187))))),
% 74.09/46.92 inference(monotonicity,[status(thm)],[29600])).
% 74.09/46.92 tff(29602,plain,
% 74.09/46.92 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB187) | (~v197(constB187)) | v252(constB187))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB187) | v148(constB187) | (~v197(constB187)))),
% 74.09/46.92 inference(transitivity,[status(thm)],[29601, 29599])).
% 74.09/46.92 tff(29603,plain,
% 74.09/46.92 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB187) | (~v197(constB187)) | v252(constB187))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29604,plain,
% 74.09/46.92 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB187) | v148(constB187) | (~v197(constB187))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29603, 29602])).
% 74.09/46.92 tff(29605,plain,
% 74.09/46.92 (v252(constB187) | (~v197(constB187))),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29604, 6427, 29598])).
% 74.09/46.92 tff(29606,plain,
% 74.09/46.92 (v252(constB187)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29605, 29535])).
% 74.09/46.92 tff(29607,plain,
% 74.09/46.92 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB187)) | (~v223(constB187, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB187)) | (~v223(constB187, bitIndex3)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29608,plain,
% 74.09/46.92 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB187)) | (~v223(constB187, bitIndex3)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29609,plain,
% 74.09/46.92 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB187)) | (~v223(constB187, bitIndex3))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29608, 29607])).
% 74.09/46.92 tff(29610,plain,
% 74.09/46.92 (~v223(constB187, bitIndex3)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29609, 6441, 29606])).
% 74.09/46.92 tff(29611,plain,
% 74.09/46.92 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB187)) | v223(constB187, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB187)) | v223(constB187, bitIndex3))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29612,plain,
% 74.09/46.92 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB187)) | v223(constB187, bitIndex3))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29613,plain,
% 74.09/46.92 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB187)) | v223(constB187, bitIndex3)),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29612, 29611])).
% 74.09/46.92 tff(29614,plain,
% 74.09/46.92 (~v237(constB187)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29613, 6455, 29610])).
% 74.09/46.92 tff(29615,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB187) | v232(constB187) | (~v248(constB187)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB187) | v232(constB187) | (~v248(constB187)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29616,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB187) | v232(constB187) | (~v248(constB187)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29617,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB187) | v232(constB187) | (~v248(constB187))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29616, 29615])).
% 74.09/46.92 tff(29618,plain,
% 74.09/46.92 (v232(constB187) | (~v248(constB187))),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29617, 6469, 29614])).
% 74.09/46.92 tff(29619,plain,
% 74.09/46.92 (~v248(constB187)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29618, 29586])).
% 74.09/46.92 tff(29620,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB187) | (~v244(constB187)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB187) | (~v244(constB187)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29621,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB187) | (~v244(constB187)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29622,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB187) | (~v244(constB187))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29621, 29620])).
% 74.09/46.92 tff(29623,plain,
% 74.09/46.92 (~v244(constB187)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29622, 6484, 29619])).
% 74.09/46.92 tff(29624,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB187) | (~v216(constB187, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB187) | (~v216(constB187, bitIndex1)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29625,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB187) | (~v216(constB187, bitIndex1)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29626,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB187) | (~v216(constB187, bitIndex1))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29625, 29624])).
% 74.09/46.92 tff(29627,plain,
% 74.09/46.92 (~v216(constB187, bitIndex1)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29626, 6495, 29623])).
% 74.09/46.92 tff(29628,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB187)) | v216(constB187, bitIndex1))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB187)) | v216(constB187, bitIndex1))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29629,plain,
% 74.09/46.92 ((v216(constB187, bitIndex1) | (~v254(constB187))) <=> ((~v254(constB187)) | v216(constB187, bitIndex1))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29630,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB187, bitIndex1) | (~v254(constB187)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB187)) | v216(constB187, bitIndex1)))),
% 74.09/46.92 inference(monotonicity,[status(thm)],[29629])).
% 74.09/46.92 tff(29631,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB187, bitIndex1) | (~v254(constB187)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB187)) | v216(constB187, bitIndex1))),
% 74.09/46.92 inference(transitivity,[status(thm)],[29630, 29628])).
% 74.09/46.92 tff(29632,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB187, bitIndex1) | (~v254(constB187)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29633,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB187)) | v216(constB187, bitIndex1)),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29632, 29631])).
% 74.09/46.92 tff(29634,plain,
% 74.09/46.92 (~v254(constB187)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29633, 6506, 29627])).
% 74.09/46.92 tff(29635,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB187) | (~v231(constB187)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB187) | (~v231(constB187)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29636,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB187) | (~v231(constB187)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29637,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB187) | (~v231(constB187))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29636, 29635])).
% 74.09/46.92 tff(29638,plain,
% 74.09/46.92 (~v231(constB187)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29637, 6528, 29614])).
% 74.09/46.92 tff(29639,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB187) | (~v221(constB187)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB187) | (~v221(constB187)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29640,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB187) | (~v221(constB187)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29641,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB187) | (~v221(constB187))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29640, 29639])).
% 74.09/46.92 tff(29642,plain,
% 74.09/46.92 (~v221(constB187)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29641, 21170, 29577])).
% 74.09/46.92 tff(29643,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB187) | v231(constB187) | (~v243(constB187)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB187) | v231(constB187) | (~v243(constB187)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29644,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB187) | v231(constB187) | (~v243(constB187)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29645,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB187) | v231(constB187) | (~v243(constB187))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29644, 29643])).
% 74.09/46.92 tff(29646,plain,
% 74.09/46.92 (~v243(constB187)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29645, 6542, 29642, 29638])).
% 74.09/46.92 tff(29647,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB187) | v255(constB187))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB187) | v255(constB187))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29648,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB187) | v255(constB187))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29649,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB187) | v255(constB187)),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29648, 29647])).
% 74.09/46.92 tff(29650,plain,
% 74.09/46.92 (v255(constB187)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29649, 6553, 29646])).
% 74.09/46.92 tff(29651,plain,
% 74.09/46.92 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB187)) | (~v216(constB187, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB187)) | (~v216(constB187, bitIndex2)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29652,plain,
% 74.09/46.92 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB187)) | (~v216(constB187, bitIndex2)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29653,plain,
% 74.09/46.92 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB187)) | (~v216(constB187, bitIndex2))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29652, 29651])).
% 74.09/46.92 tff(29654,plain,
% 74.09/46.92 (~v216(constB187, bitIndex2)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29653, 6564, 29650])).
% 74.09/46.92 tff(29655,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB187)) | v216(constB187, bitIndex2) | v254(constB187))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB187)) | v216(constB187, bitIndex2) | v254(constB187))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29656,plain,
% 74.09/46.92 ((v216(constB187, bitIndex2) | v254(constB187) | (~v215(constB187))) <=> ((~v215(constB187)) | v216(constB187, bitIndex2) | v254(constB187))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29657,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB187, bitIndex2) | v254(constB187) | (~v215(constB187)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB187)) | v216(constB187, bitIndex2) | v254(constB187)))),
% 74.09/46.92 inference(monotonicity,[status(thm)],[29656])).
% 74.09/46.92 tff(29658,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB187, bitIndex2) | v254(constB187) | (~v215(constB187)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB187)) | v216(constB187, bitIndex2) | v254(constB187))),
% 74.09/46.92 inference(transitivity,[status(thm)],[29657, 29655])).
% 74.09/46.92 tff(29659,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB187, bitIndex2) | v254(constB187) | (~v215(constB187)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29660,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB187)) | v216(constB187, bitIndex2) | v254(constB187)),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29659, 29658])).
% 74.09/46.92 tff(29661,plain,
% 74.09/46.92 ((~v215(constB187)) | v254(constB187)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29660, 6578, 29654])).
% 74.09/46.92 tff(29662,plain,
% 74.09/46.92 (~v215(constB187)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29661, 29634])).
% 74.09/46.92 tff(29663,plain,
% 74.09/46.92 ($false),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29662, 29500])).
% 74.09/46.92 tff(29664,plain,(~(constB187 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.09/46.92 tff(29665,assumption,(constB39 = sK0_VarCurr), introduced(assumption)).
% 74.09/46.92 tff(29666,plain,
% 74.09/46.92 (v215(constB39) <=> v215(sK0_VarCurr)),
% 74.09/46.92 inference(monotonicity,[status(thm)],[29665])).
% 74.09/46.92 tff(29667,plain,
% 74.09/46.92 (v215(sK0_VarCurr) <=> v215(constB39)),
% 74.09/46.92 inference(symmetry,[status(thm)],[29666])).
% 74.09/46.92 tff(29668,plain,
% 74.09/46.92 (v215(constB39)),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[28, 29667])).
% 74.09/46.92 tff(29669,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB39, bitIndex2) | (~v88(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB39, bitIndex2) | (~v88(constB39, bitIndex2)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29670,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB39, bitIndex2) | (~v88(constB39, bitIndex2)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29671,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB39, bitIndex2) | (~v88(constB39, bitIndex2))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29670, 29669])).
% 74.09/46.92 tff(29672,plain,
% 74.09/46.92 (~v88(constB39, bitIndex2)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29671, 20913, 6908])).
% 74.09/46.92 tff(29673,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB39, bitIndex1) | (~v88(constB39, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB39, bitIndex1) | (~v88(constB39, bitIndex1)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29674,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB39, bitIndex1) | (~v88(constB39, bitIndex1)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29675,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB39, bitIndex1) | (~v88(constB39, bitIndex1))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29674, 29673])).
% 74.09/46.92 tff(29676,plain,
% 74.09/46.92 (~v88(constB39, bitIndex1)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29675, 6234, 6945])).
% 74.09/46.92 tff(29677,plain,
% 74.09/46.92 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB39, bitIndex0)) | v88(constB39, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB39, bitIndex0)) | v88(constB39, bitIndex0))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29678,plain,
% 74.09/46.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB39, bitIndex0)) | v88(constB39, bitIndex0))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29679,plain,
% 74.09/46.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB39, bitIndex0)) | v88(constB39, bitIndex0)),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29678, 29677])).
% 74.09/46.92 tff(29680,plain,
% 74.09/46.92 (v88(constB39, bitIndex0)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29679, 6074, 6979])).
% 74.09/46.92 tff(29681,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB39, bitIndex0)) | v88(constB39, bitIndex1) | v88(constB39, bitIndex2) | v140(constB39))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB39, bitIndex0)) | v88(constB39, bitIndex1) | v88(constB39, bitIndex2) | v140(constB39))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29682,plain,
% 74.09/46.92 ((v88(constB39, bitIndex2) | v88(constB39, bitIndex1) | (~v88(constB39, bitIndex0)) | v140(constB39)) <=> ((~v88(constB39, bitIndex0)) | v88(constB39, bitIndex1) | v88(constB39, bitIndex2) | v140(constB39))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29683,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB39, bitIndex2) | v88(constB39, bitIndex1) | (~v88(constB39, bitIndex0)) | v140(constB39))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB39, bitIndex0)) | v88(constB39, bitIndex1) | v88(constB39, bitIndex2) | v140(constB39)))),
% 74.09/46.92 inference(monotonicity,[status(thm)],[29682])).
% 74.09/46.92 tff(29684,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB39, bitIndex2) | v88(constB39, bitIndex1) | (~v88(constB39, bitIndex0)) | v140(constB39))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB39, bitIndex0)) | v88(constB39, bitIndex1) | v88(constB39, bitIndex2) | v140(constB39))),
% 74.09/46.92 inference(transitivity,[status(thm)],[29683, 29681])).
% 74.09/46.92 tff(29685,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB39, bitIndex2) | v88(constB39, bitIndex1) | (~v88(constB39, bitIndex0)) | v140(constB39))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29686,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB39, bitIndex0)) | v88(constB39, bitIndex1) | v88(constB39, bitIndex2) | v140(constB39)),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29685, 29684])).
% 74.09/46.92 tff(29687,plain,
% 74.09/46.92 (v140(constB39)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29686, 27506, 29680, 29676, 29672])).
% 74.09/46.92 tff(29688,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB39) | (~v140(constB39)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB39) | (~v140(constB39)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29689,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB39) | (~v140(constB39)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29690,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB39) | (~v140(constB39))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29689, 29688])).
% 74.09/46.92 tff(29691,plain,
% 74.09/46.92 (v200(constB39)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29690, 27520, 29687])).
% 74.09/46.92 tff(29692,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB39) | (~v200(constB39)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB39) | (~v200(constB39)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29693,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB39) | (~v200(constB39)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29694,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB39) | (~v200(constB39))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29693, 29692])).
% 74.09/46.92 tff(29695,plain,
% 74.09/46.92 (v199(constB39)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29694, 27531, 29691])).
% 74.09/46.92 tff(29696,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB39) | (~v199(constB39)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB39) | (~v199(constB39)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29697,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB39) | (~v199(constB39)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29698,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB39) | (~v199(constB39))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29697, 29696])).
% 74.09/46.92 tff(29699,plain,
% 74.09/46.92 (v198(constB39)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29698, 20970, 29695])).
% 74.09/46.92 tff(29700,plain,
% 74.09/46.92 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB39)) | (~v201(constB39)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB39)) | (~v201(constB39)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29701,plain,
% 74.09/46.92 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB39)) | (~v201(constB39)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29702,plain,
% 74.09/46.92 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB39)) | (~v201(constB39))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29701, 29700])).
% 74.09/46.92 tff(29703,plain,
% 74.09/46.92 (~v201(constB39)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29702, 20984, 29699])).
% 74.09/46.92 tff(29704,plain,
% 74.09/46.92 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB39) | (~v198(constB39)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB39) | (~v198(constB39)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29705,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB39) | (~v198(constB39)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29706,plain,
% 74.09/46.92 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB39) | (~v198(constB39))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29705, 29704])).
% 74.09/46.92 tff(29707,plain,
% 74.09/46.92 (v197(constB39)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29706, 20995, 29699])).
% 74.09/46.92 tff(29708,plain,
% 74.09/46.92 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB39) | v201(constB39) | (~v197(constB39)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB39) | v201(constB39) | (~v197(constB39)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29709,plain,
% 74.09/46.92 (((~v197(constB39)) | v201(constB39) | v227(constB39)) <=> (v227(constB39) | v201(constB39) | (~v197(constB39)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29710,plain,
% 74.09/46.92 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB39)) | v201(constB39) | v227(constB39))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB39) | v201(constB39) | (~v197(constB39))))),
% 74.09/46.92 inference(monotonicity,[status(thm)],[29709])).
% 74.09/46.92 tff(29711,plain,
% 74.09/46.92 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB39)) | v201(constB39) | v227(constB39))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB39) | v201(constB39) | (~v197(constB39)))),
% 74.09/46.92 inference(transitivity,[status(thm)],[29710, 29708])).
% 74.09/46.92 tff(29712,plain,
% 74.09/46.92 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB39)) | v201(constB39) | v227(constB39))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29713,plain,
% 74.09/46.92 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB39) | v201(constB39) | (~v197(constB39))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29712, 29711])).
% 74.09/46.92 tff(29714,plain,
% 74.09/46.92 (v227(constB39)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29713, 21009, 29707, 29703])).
% 74.09/46.92 tff(29715,plain,
% 74.09/46.92 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB39)) | (~v223(constB39, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB39)) | (~v223(constB39, bitIndex0)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29716,plain,
% 74.09/46.92 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB39)) | (~v223(constB39, bitIndex0)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29717,plain,
% 74.09/46.92 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB39)) | (~v223(constB39, bitIndex0))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29716, 29715])).
% 74.09/46.92 tff(29718,plain,
% 74.09/46.92 (~v223(constB39, bitIndex0)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29717, 21023, 29714])).
% 74.09/46.92 tff(29719,plain,
% 74.09/46.92 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB39)) | (~v199(constB39)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB39)) | (~v199(constB39)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29720,plain,
% 74.09/46.92 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB39)) | (~v199(constB39)))),
% 74.09/46.92 inference(quant_inst,[status(thm)],[])).
% 74.09/46.92 tff(29721,plain,
% 74.09/46.92 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB39)) | (~v199(constB39))),
% 74.09/46.92 inference(modus_ponens,[status(thm)],[29720, 29719])).
% 74.09/46.92 tff(29722,plain,
% 74.09/46.92 (~v183(constB39)),
% 74.09/46.92 inference(unit_resolution,[status(thm)],[29721, 21034, 29695])).
% 74.09/46.92 tff(29723,plain,
% 74.09/46.92 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB39) | v183(constB39) | (~v197(constB39)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB39) | v183(constB39) | (~v197(constB39)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29724,plain,
% 74.09/46.92 (((~v197(constB39)) | v183(constB39) | v228(constB39)) <=> (v228(constB39) | v183(constB39) | (~v197(constB39)))),
% 74.09/46.92 inference(rewrite,[status(thm)],[])).
% 74.09/46.92 tff(29725,plain,
% 74.09/46.92 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB39)) | v183(constB39) | v228(constB39))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB39) | v183(constB39) | (~v197(constB39))))),
% 74.09/46.92 inference(monotonicity,[status(thm)],[29724])).
% 74.09/46.92 tff(29726,plain,
% 74.09/46.92 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB39)) | v183(constB39) | v228(constB39))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB39) | v183(constB39) | (~v197(constB39)))),
% 74.09/46.93 inference(transitivity,[status(thm)],[29725, 29723])).
% 74.09/46.93 tff(29727,plain,
% 74.09/46.93 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB39)) | v183(constB39) | v228(constB39))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29728,plain,
% 74.09/46.93 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB39) | v183(constB39) | (~v197(constB39))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29727, 29726])).
% 74.09/46.93 tff(29729,plain,
% 74.09/46.93 (v228(constB39)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29728, 6287, 29707, 29722])).
% 74.09/46.93 tff(29730,plain,
% 74.09/46.93 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB39)) | (~v223(constB39, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB39)) | (~v223(constB39, bitIndex1)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29731,plain,
% 74.09/46.93 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB39)) | (~v223(constB39, bitIndex1)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29732,plain,
% 74.09/46.93 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB39)) | (~v223(constB39, bitIndex1))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29731, 29730])).
% 74.09/46.93 tff(29733,plain,
% 74.09/46.93 (~v223(constB39, bitIndex1)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29732, 6301, 29729])).
% 74.09/46.93 tff(29734,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB39, bitIndex1) | v223(constB39, bitIndex0) | (~v229(constB39)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB39, bitIndex1) | v223(constB39, bitIndex0) | (~v229(constB39)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29735,plain,
% 74.09/46.93 ((v223(constB39, bitIndex0) | v223(constB39, bitIndex1) | (~v229(constB39))) <=> (v223(constB39, bitIndex1) | v223(constB39, bitIndex0) | (~v229(constB39)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29736,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB39, bitIndex0) | v223(constB39, bitIndex1) | (~v229(constB39)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB39, bitIndex1) | v223(constB39, bitIndex0) | (~v229(constB39))))),
% 74.09/46.93 inference(monotonicity,[status(thm)],[29735])).
% 74.09/46.93 tff(29737,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB39, bitIndex0) | v223(constB39, bitIndex1) | (~v229(constB39)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB39, bitIndex1) | v223(constB39, bitIndex0) | (~v229(constB39)))),
% 74.09/46.93 inference(transitivity,[status(thm)],[29736, 29734])).
% 74.09/46.93 tff(29738,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB39, bitIndex0) | v223(constB39, bitIndex1) | (~v229(constB39)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29739,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB39, bitIndex1) | v223(constB39, bitIndex0) | (~v229(constB39))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29738, 29737])).
% 74.09/46.93 tff(29740,plain,
% 74.09/46.93 (~v229(constB39)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29739, 21059, 29733, 29718])).
% 74.09/46.93 tff(29741,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB39) | (~v225(constB39)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB39) | (~v225(constB39)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29742,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB39) | (~v225(constB39)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29743,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB39) | (~v225(constB39))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29742, 29741])).
% 74.09/46.93 tff(29744,plain,
% 74.09/46.93 (~v225(constB39)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29743, 21073, 29740])).
% 74.09/46.93 tff(29745,plain,
% 74.09/46.93 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB39)) | (~v200(constB39)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB39)) | (~v200(constB39)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29746,plain,
% 74.09/46.93 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB39)) | (~v200(constB39)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29747,plain,
% 74.09/46.93 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB39)) | (~v200(constB39))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29746, 29745])).
% 74.09/46.93 tff(29748,plain,
% 74.09/46.93 (~v166(constB39)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29747, 27591, 29691])).
% 74.09/46.93 tff(29749,plain,
% 74.09/46.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB39) | v166(constB39) | (~v197(constB39)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB39) | v166(constB39) | (~v197(constB39)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29750,plain,
% 74.09/46.93 (((~v197(constB39)) | v166(constB39) | v241(constB39)) <=> (v241(constB39) | v166(constB39) | (~v197(constB39)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29751,plain,
% 74.09/46.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB39)) | v166(constB39) | v241(constB39))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB39) | v166(constB39) | (~v197(constB39))))),
% 74.09/46.93 inference(monotonicity,[status(thm)],[29750])).
% 74.09/46.93 tff(29752,plain,
% 74.09/46.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB39)) | v166(constB39) | v241(constB39))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB39) | v166(constB39) | (~v197(constB39)))),
% 74.09/46.93 inference(transitivity,[status(thm)],[29751, 29749])).
% 74.09/46.93 tff(29753,plain,
% 74.09/46.93 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB39)) | v166(constB39) | v241(constB39))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29754,plain,
% 74.09/46.93 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB39) | v166(constB39) | (~v197(constB39))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29753, 29752])).
% 74.09/46.93 tff(29755,plain,
% 74.09/46.93 (v241(constB39) | (~v197(constB39))),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29754, 6343, 29748])).
% 74.09/46.93 tff(29756,plain,
% 74.09/46.93 (v241(constB39)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29755, 29707])).
% 74.09/46.93 tff(29757,plain,
% 74.09/46.93 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB39)) | (~v223(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB39)) | (~v223(constB39, bitIndex2)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29758,plain,
% 74.09/46.93 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB39)) | (~v223(constB39, bitIndex2)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29759,plain,
% 74.09/46.93 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB39)) | (~v223(constB39, bitIndex2))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29758, 29757])).
% 74.09/46.93 tff(29760,plain,
% 74.09/46.93 (~v223(constB39, bitIndex2)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29759, 6357, 29756])).
% 74.09/46.93 tff(29761,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB39, bitIndex2) | v225(constB39) | (~v242(constB39)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB39, bitIndex2) | v225(constB39) | (~v242(constB39)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29762,plain,
% 74.09/46.93 ((v225(constB39) | v223(constB39, bitIndex2) | (~v242(constB39))) <=> (v223(constB39, bitIndex2) | v225(constB39) | (~v242(constB39)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29763,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB39) | v223(constB39, bitIndex2) | (~v242(constB39)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB39, bitIndex2) | v225(constB39) | (~v242(constB39))))),
% 74.09/46.93 inference(monotonicity,[status(thm)],[29762])).
% 74.09/46.93 tff(29764,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB39) | v223(constB39, bitIndex2) | (~v242(constB39)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB39, bitIndex2) | v225(constB39) | (~v242(constB39)))),
% 74.09/46.93 inference(transitivity,[status(thm)],[29763, 29761])).
% 74.09/46.93 tff(29765,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB39) | v223(constB39, bitIndex2) | (~v242(constB39)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29766,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB39, bitIndex2) | v225(constB39) | (~v242(constB39))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29765, 29764])).
% 74.09/46.93 tff(29767,plain,
% 74.09/46.93 (v225(constB39) | (~v242(constB39))),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29766, 27617, 29760])).
% 74.09/46.93 tff(29768,plain,
% 74.09/46.93 (~v242(constB39)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29767, 29744])).
% 74.09/46.93 tff(29769,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB39) | (~v238(constB39)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB39) | (~v238(constB39)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29770,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB39) | (~v238(constB39)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29771,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB39) | (~v238(constB39))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29770, 29769])).
% 74.09/46.93 tff(29772,plain,
% 74.09/46.93 (~v238(constB39)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29771, 27632, 29768])).
% 74.09/46.93 tff(29773,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB39) | (~v237(constB39)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB39) | (~v237(constB39)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29774,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB39) | (~v237(constB39)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29775,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB39) | (~v237(constB39))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29774, 29773])).
% 74.09/46.93 tff(29776,plain,
% 74.09/46.93 (~v237(constB39)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29775, 27643, 29772])).
% 74.09/46.93 tff(29777,plain,
% 74.09/46.93 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB39)) | v223(constB39, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB39)) | v223(constB39, bitIndex2))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29778,plain,
% 74.09/46.93 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB39)) | v223(constB39, bitIndex2))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29779,plain,
% 74.09/46.93 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB39)) | v223(constB39, bitIndex2)),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29778, 29777])).
% 74.09/46.93 tff(29780,plain,
% 74.09/46.93 (~v224(constB39)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29779, 6371, 29760])).
% 74.09/46.93 tff(29781,plain,
% 74.09/46.93 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB39)) | v223(constB39, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB39)) | v223(constB39, bitIndex1))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29782,plain,
% 74.09/46.93 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB39)) | v223(constB39, bitIndex1))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29783,plain,
% 74.09/46.93 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB39)) | v223(constB39, bitIndex1)),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29782, 29781])).
% 74.09/46.93 tff(29784,plain,
% 74.09/46.93 (~v222(constB39)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29783, 6315, 29733])).
% 74.09/46.93 tff(29785,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB39) | v224(constB39) | (~v236(constB39)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB39) | v224(constB39) | (~v236(constB39)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29786,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB39) | v224(constB39) | (~v236(constB39)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29787,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB39) | v224(constB39) | (~v236(constB39))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29786, 29785])).
% 74.09/46.93 tff(29788,plain,
% 74.09/46.93 (~v236(constB39)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29787, 6385, 29784, 29780])).
% 74.09/46.93 tff(29789,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB39) | (~v232(constB39)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB39) | (~v232(constB39)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29790,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB39) | (~v232(constB39)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29791,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB39) | (~v232(constB39))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29790, 29789])).
% 74.09/46.93 tff(29792,plain,
% 74.09/46.93 (~v232(constB39)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29791, 6396, 29788])).
% 74.09/46.93 tff(29793,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | ((~v248(constB39)) | v232(constB39) | v237(constB39))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (~v248(constB39)) | v232(constB39) | v237(constB39))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29794,plain,
% 74.09/46.93 ((v237(constB39) | v232(constB39) | (~v248(constB39))) <=> ((~v248(constB39)) | v232(constB39) | v237(constB39))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29795,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB39) | v232(constB39) | (~v248(constB39)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | ((~v248(constB39)) | v232(constB39) | v237(constB39)))),
% 74.09/46.93 inference(monotonicity,[status(thm)],[29794])).
% 74.09/46.93 tff(29796,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB39) | v232(constB39) | (~v248(constB39)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (~v248(constB39)) | v232(constB39) | v237(constB39))),
% 74.09/46.93 inference(transitivity,[status(thm)],[29795, 29793])).
% 74.09/46.93 tff(29797,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB39) | v232(constB39) | (~v248(constB39)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29798,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (~v248(constB39)) | v232(constB39) | v237(constB39)),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29797, 29796])).
% 74.09/46.93 tff(29799,plain,
% 74.09/46.93 ((~v248(constB39)) | v237(constB39)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29798, 6469, 29792])).
% 74.09/46.93 tff(29800,plain,
% 74.09/46.93 (~v248(constB39)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29799, 29776])).
% 74.09/46.93 tff(29801,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB39) | (~v244(constB39)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB39) | (~v244(constB39)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29802,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB39) | (~v244(constB39)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29803,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB39) | (~v244(constB39))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29802, 29801])).
% 74.09/46.93 tff(29804,plain,
% 74.09/46.93 (~v244(constB39)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29803, 6484, 29800])).
% 74.09/46.93 tff(29805,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB39) | (~v216(constB39, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB39) | (~v216(constB39, bitIndex1)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29806,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB39) | (~v216(constB39, bitIndex1)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29807,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB39) | (~v216(constB39, bitIndex1))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29806, 29805])).
% 74.09/46.93 tff(29808,plain,
% 74.09/46.93 (~v216(constB39, bitIndex1)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29807, 6495, 29804])).
% 74.09/46.93 tff(29809,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB39, bitIndex1) | (~v254(constB39)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB39, bitIndex1) | (~v254(constB39)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29810,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB39, bitIndex1) | (~v254(constB39)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29811,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB39, bitIndex1) | (~v254(constB39))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29810, 29809])).
% 74.09/46.93 tff(29812,plain,
% 74.09/46.93 (~v254(constB39)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29811, 6506, 29808])).
% 74.09/46.93 tff(29813,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB39) | (~v231(constB39)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB39) | (~v231(constB39)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29814,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB39) | (~v231(constB39)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29815,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB39) | (~v231(constB39))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29814, 29813])).
% 74.09/46.93 tff(29816,plain,
% 74.09/46.93 (~v231(constB39)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29815, 27687, 29792])).
% 74.09/46.93 tff(29817,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB39) | (~v221(constB39)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB39) | (~v221(constB39)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29818,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB39) | (~v221(constB39)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29819,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB39) | (~v221(constB39))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29818, 29817])).
% 74.09/46.93 tff(29820,plain,
% 74.09/46.93 (~v221(constB39)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29819, 21170, 29784])).
% 74.09/46.93 tff(29821,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB39) | v231(constB39) | (~v243(constB39)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB39) | v231(constB39) | (~v243(constB39)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29822,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB39) | v231(constB39) | (~v243(constB39)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29823,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB39) | v231(constB39) | (~v243(constB39))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29822, 29821])).
% 74.09/46.93 tff(29824,plain,
% 74.09/46.93 (v231(constB39) | (~v243(constB39))),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29823, 6542, 29820])).
% 74.09/46.93 tff(29825,plain,
% 74.09/46.93 (~v243(constB39)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29824, 29816])).
% 74.09/46.93 tff(29826,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB39) | v255(constB39))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB39) | v255(constB39))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29827,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB39) | v255(constB39))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29828,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB39) | v255(constB39)),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29827, 29826])).
% 74.09/46.93 tff(29829,plain,
% 74.09/46.93 (v255(constB39)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29828, 6553, 29825])).
% 74.09/46.93 tff(29830,plain,
% 74.09/46.93 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB39)) | (~v216(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB39)) | (~v216(constB39, bitIndex2)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29831,plain,
% 74.09/46.93 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB39)) | (~v216(constB39, bitIndex2)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29832,plain,
% 74.09/46.93 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB39)) | (~v216(constB39, bitIndex2))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29831, 29830])).
% 74.09/46.93 tff(29833,plain,
% 74.09/46.93 (~v216(constB39, bitIndex2)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29832, 6564, 29829])).
% 74.09/46.93 tff(29834,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB39) | (~v215(constB39)) | v216(constB39, bitIndex2))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB39) | (~v215(constB39)) | v216(constB39, bitIndex2))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29835,plain,
% 74.09/46.93 ((v216(constB39, bitIndex2) | v254(constB39) | (~v215(constB39))) <=> (v254(constB39) | (~v215(constB39)) | v216(constB39, bitIndex2))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29836,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB39, bitIndex2) | v254(constB39) | (~v215(constB39)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB39) | (~v215(constB39)) | v216(constB39, bitIndex2)))),
% 74.09/46.93 inference(monotonicity,[status(thm)],[29835])).
% 74.09/46.93 tff(29837,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB39, bitIndex2) | v254(constB39) | (~v215(constB39)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB39) | (~v215(constB39)) | v216(constB39, bitIndex2))),
% 74.09/46.93 inference(transitivity,[status(thm)],[29836, 29834])).
% 74.09/46.93 tff(29838,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB39, bitIndex2) | v254(constB39) | (~v215(constB39)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29839,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB39) | (~v215(constB39)) | v216(constB39, bitIndex2)),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29838, 29837])).
% 74.09/46.93 tff(29840,plain,
% 74.09/46.93 (v254(constB39) | (~v215(constB39))),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29839, 6578, 29833])).
% 74.09/46.93 tff(29841,plain,
% 74.09/46.93 (~v215(constB39)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29840, 29812])).
% 74.09/46.93 tff(29842,plain,
% 74.09/46.93 ($false),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29841, 29668])).
% 74.09/46.93 tff(29843,plain,(~(constB39 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.09/46.93 tff(29844,assumption,(constB87 = sK0_VarCurr), introduced(assumption)).
% 74.09/46.93 tff(29845,plain,
% 74.09/46.93 (v215(constB87) <=> v215(sK0_VarCurr)),
% 74.09/46.93 inference(monotonicity,[status(thm)],[29844])).
% 74.09/46.93 tff(29846,plain,
% 74.09/46.93 (v215(sK0_VarCurr) <=> v215(constB87)),
% 74.09/46.93 inference(symmetry,[status(thm)],[29845])).
% 74.09/46.93 tff(29847,plain,
% 74.09/46.93 (v215(constB87)),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[28, 29846])).
% 74.09/46.93 tff(29848,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB87, bitIndex2) | (~v88(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB87, bitIndex2) | (~v88(constB87, bitIndex2)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29849,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB87, bitIndex2) | (~v88(constB87, bitIndex2)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29850,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB87, bitIndex2) | (~v88(constB87, bitIndex2))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29849, 29848])).
% 74.09/46.93 tff(29851,plain,
% 74.09/46.93 (~v88(constB87, bitIndex2)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29850, 20913, 13778])).
% 74.09/46.93 tff(29852,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB87, bitIndex1) | (~v88(constB87, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB87, bitIndex1) | (~v88(constB87, bitIndex1)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29853,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB87, bitIndex1) | (~v88(constB87, bitIndex1)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29854,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB87, bitIndex1) | (~v88(constB87, bitIndex1))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29853, 29852])).
% 74.09/46.93 tff(29855,plain,
% 74.09/46.93 (~v88(constB87, bitIndex1)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29854, 6234, 13815])).
% 74.09/46.93 tff(29856,plain,
% 74.09/46.93 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB87, bitIndex0)) | v88(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB87, bitIndex0)) | v88(constB87, bitIndex0))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29857,plain,
% 74.09/46.93 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB87, bitIndex0)) | v88(constB87, bitIndex0))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29858,plain,
% 74.09/46.93 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB87, bitIndex0)) | v88(constB87, bitIndex0)),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29857, 29856])).
% 74.09/46.93 tff(29859,plain,
% 74.09/46.93 (v88(constB87, bitIndex0)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29858, 6074, 13849])).
% 74.09/46.93 tff(29860,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)) | v140(constB87))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)) | v140(constB87))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29861,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)) | v140(constB87))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29862,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)) | v140(constB87)),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29861, 29860])).
% 74.09/46.93 tff(29863,plain,
% 74.09/46.93 (v140(constB87)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29862, 27506, 29859, 29855, 29851])).
% 74.09/46.93 tff(29864,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB87) | (~v140(constB87)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB87) | (~v140(constB87)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29865,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB87) | (~v140(constB87)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29866,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB87) | (~v140(constB87))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29865, 29864])).
% 74.09/46.93 tff(29867,plain,
% 74.09/46.93 (v200(constB87)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29866, 27520, 29863])).
% 74.09/46.93 tff(29868,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB87) | (~v200(constB87)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB87) | (~v200(constB87)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29869,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB87) | (~v200(constB87)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29870,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB87) | (~v200(constB87))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29869, 29868])).
% 74.09/46.93 tff(29871,plain,
% 74.09/46.93 (v199(constB87)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29870, 27531, 29867])).
% 74.09/46.93 tff(29872,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB87) | (~v199(constB87)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB87) | (~v199(constB87)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29873,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB87) | (~v199(constB87)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29874,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB87) | (~v199(constB87))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29873, 29872])).
% 74.09/46.93 tff(29875,plain,
% 74.09/46.93 (v198(constB87)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29874, 20970, 29871])).
% 74.09/46.93 tff(29876,plain,
% 74.09/46.93 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB87)) | (~v201(constB87)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB87)) | (~v201(constB87)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29877,plain,
% 74.09/46.93 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB87)) | (~v201(constB87)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29878,plain,
% 74.09/46.93 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB87)) | (~v201(constB87))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29877, 29876])).
% 74.09/46.93 tff(29879,plain,
% 74.09/46.93 (~v201(constB87)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29878, 20984, 29875])).
% 74.09/46.93 tff(29880,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB87) | (~v198(constB87)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB87) | (~v198(constB87)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29881,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB87) | (~v198(constB87)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29882,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB87) | (~v198(constB87))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29881, 29880])).
% 74.09/46.93 tff(29883,plain,
% 74.09/46.93 (v197(constB87)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29882, 20995, 29875])).
% 74.09/46.93 tff(29884,plain,
% 74.09/46.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB87) | (~v197(constB87)) | v201(constB87))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB87) | (~v197(constB87)) | v201(constB87))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29885,plain,
% 74.09/46.93 (((~v197(constB87)) | v201(constB87) | v227(constB87)) <=> (v227(constB87) | (~v197(constB87)) | v201(constB87))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29886,plain,
% 74.09/46.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB87)) | v201(constB87) | v227(constB87))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB87) | (~v197(constB87)) | v201(constB87)))),
% 74.09/46.93 inference(monotonicity,[status(thm)],[29885])).
% 74.09/46.93 tff(29887,plain,
% 74.09/46.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB87)) | v201(constB87) | v227(constB87))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB87) | (~v197(constB87)) | v201(constB87))),
% 74.09/46.93 inference(transitivity,[status(thm)],[29886, 29884])).
% 74.09/46.93 tff(29888,plain,
% 74.09/46.93 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB87)) | v201(constB87) | v227(constB87))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29889,plain,
% 74.09/46.93 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB87) | (~v197(constB87)) | v201(constB87)),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29888, 29887])).
% 74.09/46.93 tff(29890,plain,
% 74.09/46.93 (v227(constB87)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29889, 21009, 29883, 29879])).
% 74.09/46.93 tff(29891,plain,
% 74.09/46.93 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB87)) | (~v223(constB87, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB87)) | (~v223(constB87, bitIndex0)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29892,plain,
% 74.09/46.93 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB87)) | (~v223(constB87, bitIndex0)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29893,plain,
% 74.09/46.93 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB87)) | (~v223(constB87, bitIndex0))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29892, 29891])).
% 74.09/46.93 tff(29894,plain,
% 74.09/46.93 (~v223(constB87, bitIndex0)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29893, 21023, 29890])).
% 74.09/46.93 tff(29895,plain,
% 74.09/46.93 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB87)) | (~v199(constB87)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB87)) | (~v199(constB87)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29896,plain,
% 74.09/46.93 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB87)) | (~v199(constB87)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29897,plain,
% 74.09/46.93 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB87)) | (~v199(constB87))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29896, 29895])).
% 74.09/46.93 tff(29898,plain,
% 74.09/46.93 (~v183(constB87)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29897, 21034, 29871])).
% 74.09/46.93 tff(29899,plain,
% 74.09/46.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB87) | (~v197(constB87)) | v183(constB87))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB87) | (~v197(constB87)) | v183(constB87))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29900,plain,
% 74.09/46.93 (((~v197(constB87)) | v183(constB87) | v228(constB87)) <=> (v228(constB87) | (~v197(constB87)) | v183(constB87))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29901,plain,
% 74.09/46.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB87)) | v183(constB87) | v228(constB87))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB87) | (~v197(constB87)) | v183(constB87)))),
% 74.09/46.93 inference(monotonicity,[status(thm)],[29900])).
% 74.09/46.93 tff(29902,plain,
% 74.09/46.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB87)) | v183(constB87) | v228(constB87))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB87) | (~v197(constB87)) | v183(constB87))),
% 74.09/46.93 inference(transitivity,[status(thm)],[29901, 29899])).
% 74.09/46.93 tff(29903,plain,
% 74.09/46.93 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB87)) | v183(constB87) | v228(constB87))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29904,plain,
% 74.09/46.93 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB87) | (~v197(constB87)) | v183(constB87)),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29903, 29902])).
% 74.09/46.93 tff(29905,plain,
% 74.09/46.93 (v228(constB87)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29904, 6287, 29883, 29898])).
% 74.09/46.93 tff(29906,plain,
% 74.09/46.93 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB87)) | (~v223(constB87, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB87)) | (~v223(constB87, bitIndex1)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29907,plain,
% 74.09/46.93 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB87)) | (~v223(constB87, bitIndex1)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29908,plain,
% 74.09/46.93 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB87)) | (~v223(constB87, bitIndex1))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29907, 29906])).
% 74.09/46.93 tff(29909,plain,
% 74.09/46.93 (~v223(constB87, bitIndex1)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29908, 6301, 29905])).
% 74.09/46.93 tff(29910,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB87, bitIndex0) | v223(constB87, bitIndex1) | (~v229(constB87)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB87, bitIndex0) | v223(constB87, bitIndex1) | (~v229(constB87)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29911,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB87, bitIndex0) | v223(constB87, bitIndex1) | (~v229(constB87)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29912,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB87, bitIndex0) | v223(constB87, bitIndex1) | (~v229(constB87))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29911, 29910])).
% 74.09/46.93 tff(29913,plain,
% 74.09/46.93 (~v229(constB87)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29912, 21059, 29909, 29894])).
% 74.09/46.93 tff(29914,plain,
% 74.09/46.93 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB87) | (~v225(constB87)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB87) | (~v225(constB87)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29915,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB87) | (~v225(constB87)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29916,plain,
% 74.09/46.93 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB87) | (~v225(constB87))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29915, 29914])).
% 74.09/46.93 tff(29917,plain,
% 74.09/46.93 (~v225(constB87)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29916, 21073, 29913])).
% 74.09/46.93 tff(29918,plain,
% 74.09/46.93 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB87)) | (~v200(constB87)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB87)) | (~v200(constB87)))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29919,plain,
% 74.09/46.93 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB87)) | (~v200(constB87)))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.93 tff(29920,plain,
% 74.09/46.93 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB87)) | (~v200(constB87))),
% 74.09/46.93 inference(modus_ponens,[status(thm)],[29919, 29918])).
% 74.09/46.93 tff(29921,plain,
% 74.09/46.93 (~v166(constB87)),
% 74.09/46.93 inference(unit_resolution,[status(thm)],[29920, 27591, 29867])).
% 74.09/46.93 tff(29922,plain,
% 74.09/46.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB87) | (~v197(constB87)) | v166(constB87))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB87) | (~v197(constB87)) | v166(constB87))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29923,plain,
% 74.09/46.93 (((~v197(constB87)) | v166(constB87) | v241(constB87)) <=> (v241(constB87) | (~v197(constB87)) | v166(constB87))),
% 74.09/46.93 inference(rewrite,[status(thm)],[])).
% 74.09/46.93 tff(29924,plain,
% 74.09/46.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB87)) | v166(constB87) | v241(constB87))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB87) | (~v197(constB87)) | v166(constB87)))),
% 74.09/46.93 inference(monotonicity,[status(thm)],[29923])).
% 74.09/46.93 tff(29925,plain,
% 74.09/46.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB87)) | v166(constB87) | v241(constB87))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB87) | (~v197(constB87)) | v166(constB87))),
% 74.09/46.93 inference(transitivity,[status(thm)],[29924, 29922])).
% 74.09/46.93 tff(29926,plain,
% 74.09/46.93 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB87)) | v166(constB87) | v241(constB87))),
% 74.09/46.93 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(29927,plain,
% 74.09/46.94 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB87) | (~v197(constB87)) | v166(constB87)),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[29926, 29925])).
% 74.09/46.94 tff(29928,plain,
% 74.09/46.94 (v241(constB87) | (~v197(constB87))),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[29927, 6343, 29921])).
% 74.09/46.94 tff(29929,plain,
% 74.09/46.94 (v241(constB87)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[29928, 29883])).
% 74.09/46.94 tff(29930,plain,
% 74.09/46.94 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB87)) | (~v223(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB87)) | (~v223(constB87, bitIndex2)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(29931,plain,
% 74.09/46.94 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB87)) | (~v223(constB87, bitIndex2)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(29932,plain,
% 74.09/46.94 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB87)) | (~v223(constB87, bitIndex2))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[29931, 29930])).
% 74.09/46.94 tff(29933,plain,
% 74.09/46.94 (~v223(constB87, bitIndex2)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[29932, 6357, 29929])).
% 74.09/46.94 tff(29934,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB87) | v223(constB87, bitIndex2) | (~v242(constB87)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB87) | v223(constB87, bitIndex2) | (~v242(constB87)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(29935,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB87) | v223(constB87, bitIndex2) | (~v242(constB87)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(29936,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB87) | v223(constB87, bitIndex2) | (~v242(constB87))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[29935, 29934])).
% 74.09/46.94 tff(29937,plain,
% 74.09/46.94 (v225(constB87) | (~v242(constB87))),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[29936, 27617, 29933])).
% 74.09/46.94 tff(29938,plain,
% 74.09/46.94 (~v242(constB87)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[29937, 29917])).
% 74.09/46.94 tff(29939,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB87) | (~v238(constB87)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB87) | (~v238(constB87)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(29940,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB87) | (~v238(constB87)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(29941,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB87) | (~v238(constB87))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[29940, 29939])).
% 74.09/46.94 tff(29942,plain,
% 74.09/46.94 (~v238(constB87)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[29941, 27632, 29938])).
% 74.09/46.94 tff(29943,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB87) | (~v237(constB87)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB87) | (~v237(constB87)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(29944,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB87) | (~v237(constB87)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(29945,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB87) | (~v237(constB87))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[29944, 29943])).
% 74.09/46.94 tff(29946,plain,
% 74.09/46.94 (~v237(constB87)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[29945, 27643, 29942])).
% 74.09/46.94 tff(29947,plain,
% 74.09/46.94 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB87)) | v223(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB87)) | v223(constB87, bitIndex2))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(29948,plain,
% 74.09/46.94 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB87)) | v223(constB87, bitIndex2))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(29949,plain,
% 74.09/46.94 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB87)) | v223(constB87, bitIndex2)),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[29948, 29947])).
% 74.09/46.94 tff(29950,plain,
% 74.09/46.94 (~v224(constB87)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[29949, 6371, 29933])).
% 74.09/46.94 tff(29951,plain,
% 74.09/46.94 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB87)) | v223(constB87, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB87)) | v223(constB87, bitIndex1))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(29952,plain,
% 74.09/46.94 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB87)) | v223(constB87, bitIndex1))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(29953,plain,
% 74.09/46.94 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB87)) | v223(constB87, bitIndex1)),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[29952, 29951])).
% 74.09/46.94 tff(29954,plain,
% 74.09/46.94 (~v222(constB87)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[29953, 6315, 29909])).
% 74.09/46.94 tff(29955,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB87) | v224(constB87) | (~v236(constB87)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB87) | v224(constB87) | (~v236(constB87)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(29956,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB87) | v224(constB87) | (~v236(constB87)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(29957,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB87) | v224(constB87) | (~v236(constB87))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[29956, 29955])).
% 74.09/46.94 tff(29958,plain,
% 74.09/46.94 (~v236(constB87)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[29957, 6385, 29954, 29950])).
% 74.09/46.94 tff(29959,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB87) | (~v232(constB87)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB87) | (~v232(constB87)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(29960,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB87) | (~v232(constB87)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(29961,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB87) | (~v232(constB87))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[29960, 29959])).
% 74.09/46.94 tff(29962,plain,
% 74.09/46.94 (~v232(constB87)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[29961, 6396, 29958])).
% 74.09/46.94 tff(29963,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v232(constB87) | v237(constB87) | (~v248(constB87)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB87) | v237(constB87) | (~v248(constB87)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(29964,plain,
% 74.09/46.94 ((v237(constB87) | v232(constB87) | (~v248(constB87))) <=> (v232(constB87) | v237(constB87) | (~v248(constB87)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(29965,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB87) | v232(constB87) | (~v248(constB87)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v232(constB87) | v237(constB87) | (~v248(constB87))))),
% 74.09/46.94 inference(monotonicity,[status(thm)],[29964])).
% 74.09/46.94 tff(29966,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB87) | v232(constB87) | (~v248(constB87)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB87) | v237(constB87) | (~v248(constB87)))),
% 74.09/46.94 inference(transitivity,[status(thm)],[29965, 29963])).
% 74.09/46.94 tff(29967,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB87) | v232(constB87) | (~v248(constB87)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(29968,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB87) | v237(constB87) | (~v248(constB87))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[29967, 29966])).
% 74.09/46.94 tff(29969,plain,
% 74.09/46.94 (v237(constB87) | (~v248(constB87))),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[29968, 6469, 29962])).
% 74.09/46.94 tff(29970,plain,
% 74.09/46.94 (~v248(constB87)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[29969, 29946])).
% 74.09/46.94 tff(29971,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB87) | (~v244(constB87)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB87) | (~v244(constB87)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(29972,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB87) | (~v244(constB87)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(29973,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB87) | (~v244(constB87))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[29972, 29971])).
% 74.09/46.94 tff(29974,plain,
% 74.09/46.94 (~v244(constB87)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[29973, 6484, 29970])).
% 74.09/46.94 tff(29975,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB87) | (~v216(constB87, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB87) | (~v216(constB87, bitIndex1)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(29976,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB87) | (~v216(constB87, bitIndex1)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(29977,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB87) | (~v216(constB87, bitIndex1))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[29976, 29975])).
% 74.09/46.94 tff(29978,plain,
% 74.09/46.94 (~v216(constB87, bitIndex1)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[29977, 6495, 29974])).
% 74.09/46.94 tff(29979,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB87)) | v216(constB87, bitIndex1))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB87)) | v216(constB87, bitIndex1))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(29980,plain,
% 74.09/46.94 ((v216(constB87, bitIndex1) | (~v254(constB87))) <=> ((~v254(constB87)) | v216(constB87, bitIndex1))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(29981,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB87, bitIndex1) | (~v254(constB87)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB87)) | v216(constB87, bitIndex1)))),
% 74.09/46.94 inference(monotonicity,[status(thm)],[29980])).
% 74.09/46.94 tff(29982,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB87, bitIndex1) | (~v254(constB87)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB87)) | v216(constB87, bitIndex1))),
% 74.09/46.94 inference(transitivity,[status(thm)],[29981, 29979])).
% 74.09/46.94 tff(29983,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB87, bitIndex1) | (~v254(constB87)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(29984,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB87)) | v216(constB87, bitIndex1)),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[29983, 29982])).
% 74.09/46.94 tff(29985,plain,
% 74.09/46.94 (~v254(constB87)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[29984, 6506, 29978])).
% 74.09/46.94 tff(29986,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB87) | (~v231(constB87)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB87) | (~v231(constB87)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(29987,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB87) | (~v231(constB87)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(29988,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB87) | (~v231(constB87))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[29987, 29986])).
% 74.09/46.94 tff(29989,plain,
% 74.09/46.94 (~v231(constB87)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[29988, 27687, 29962])).
% 74.09/46.94 tff(29990,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB87) | (~v221(constB87)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB87) | (~v221(constB87)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(29991,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB87) | (~v221(constB87)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(29992,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB87) | (~v221(constB87))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[29991, 29990])).
% 74.09/46.94 tff(29993,plain,
% 74.09/46.94 (~v221(constB87)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[29992, 21170, 29954])).
% 74.09/46.94 tff(29994,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB87) | v231(constB87) | (~v243(constB87)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB87) | v231(constB87) | (~v243(constB87)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(29995,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB87) | v231(constB87) | (~v243(constB87)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(29996,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB87) | v231(constB87) | (~v243(constB87))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[29995, 29994])).
% 74.09/46.94 tff(29997,plain,
% 74.09/46.94 (v231(constB87) | (~v243(constB87))),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[29996, 6542, 29993])).
% 74.09/46.94 tff(29998,plain,
% 74.09/46.94 (~v243(constB87)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[29997, 29989])).
% 74.09/46.94 tff(29999,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB87) | v255(constB87))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB87) | v255(constB87))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30000,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB87) | v255(constB87))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(30001,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB87) | v255(constB87)),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[30000, 29999])).
% 74.09/46.94 tff(30002,plain,
% 74.09/46.94 (v255(constB87)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30001, 6553, 29998])).
% 74.09/46.94 tff(30003,plain,
% 74.09/46.94 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB87)) | (~v216(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB87)) | (~v216(constB87, bitIndex2)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30004,plain,
% 74.09/46.94 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB87)) | (~v216(constB87, bitIndex2)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(30005,plain,
% 74.09/46.94 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB87)) | (~v216(constB87, bitIndex2))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[30004, 30003])).
% 74.09/46.94 tff(30006,plain,
% 74.09/46.94 (~v216(constB87, bitIndex2)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30005, 6564, 30002])).
% 74.09/46.94 tff(30007,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB87, bitIndex2) | (~v215(constB87)) | v254(constB87))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB87, bitIndex2) | (~v215(constB87)) | v254(constB87))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30008,plain,
% 74.09/46.94 ((v216(constB87, bitIndex2) | v254(constB87) | (~v215(constB87))) <=> (v216(constB87, bitIndex2) | (~v215(constB87)) | v254(constB87))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30009,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB87, bitIndex2) | v254(constB87) | (~v215(constB87)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB87, bitIndex2) | (~v215(constB87)) | v254(constB87)))),
% 74.09/46.94 inference(monotonicity,[status(thm)],[30008])).
% 74.09/46.94 tff(30010,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB87, bitIndex2) | v254(constB87) | (~v215(constB87)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB87, bitIndex2) | (~v215(constB87)) | v254(constB87))),
% 74.09/46.94 inference(transitivity,[status(thm)],[30009, 30007])).
% 74.09/46.94 tff(30011,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB87, bitIndex2) | v254(constB87) | (~v215(constB87)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(30012,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB87, bitIndex2) | (~v215(constB87)) | v254(constB87)),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[30011, 30010])).
% 74.09/46.94 tff(30013,plain,
% 74.09/46.94 ((~v215(constB87)) | v254(constB87)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30012, 6578, 30006])).
% 74.09/46.94 tff(30014,plain,
% 74.09/46.94 (~v215(constB87)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30013, 29985])).
% 74.09/46.94 tff(30015,plain,
% 74.09/46.94 ($false),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30014, 29847])).
% 74.09/46.94 tff(30016,plain,(~(constB87 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.09/46.94 tff(30017,assumption,(constB55 = sK0_VarCurr), introduced(assumption)).
% 74.09/46.94 tff(30018,plain,
% 74.09/46.94 (v215(constB55) <=> v215(sK0_VarCurr)),
% 74.09/46.94 inference(monotonicity,[status(thm)],[30017])).
% 74.09/46.94 tff(30019,plain,
% 74.09/46.94 (v215(sK0_VarCurr) <=> v215(constB55)),
% 74.09/46.94 inference(symmetry,[status(thm)],[30018])).
% 74.09/46.94 tff(30020,plain,
% 74.09/46.94 (v215(constB55)),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[28, 30019])).
% 74.09/46.94 tff(30021,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB55, bitIndex2) | (~v88(constB55, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB55, bitIndex2) | (~v88(constB55, bitIndex2)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30022,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB55, bitIndex2) | (~v88(constB55, bitIndex2)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(30023,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB55, bitIndex2) | (~v88(constB55, bitIndex2))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[30022, 30021])).
% 74.09/46.94 tff(30024,plain,
% 74.09/46.94 (~v88(constB55, bitIndex2)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30023, 20913, 8719])).
% 74.09/46.94 tff(30025,plain,
% 74.09/46.94 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB55, bitIndex1)) | v88(constB55, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB55, bitIndex1)) | v88(constB55, bitIndex1))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30026,plain,
% 74.09/46.94 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB55, bitIndex1)) | v88(constB55, bitIndex1))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(30027,plain,
% 74.09/46.94 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB55, bitIndex1)) | v88(constB55, bitIndex1)),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[30026, 30025])).
% 74.09/46.94 tff(30028,plain,
% 74.09/46.94 (v88(constB55, bitIndex1)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30027, 20927, 8750])).
% 74.09/46.94 tff(30029,plain,
% 74.09/46.94 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB55, bitIndex0)) | v88(constB55, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB55, bitIndex0)) | v88(constB55, bitIndex0))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30030,plain,
% 74.09/46.94 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB55, bitIndex0)) | v88(constB55, bitIndex0))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(30031,plain,
% 74.09/46.94 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB55, bitIndex0)) | v88(constB55, bitIndex0)),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[30030, 30029])).
% 74.09/46.94 tff(30032,plain,
% 74.09/46.94 (v88(constB55, bitIndex0)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30031, 6074, 8781])).
% 74.09/46.94 tff(30033,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB55, bitIndex0)) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | v141(constB55))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB55, bitIndex0)) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | v141(constB55))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30034,plain,
% 74.09/46.94 ((v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex0)) | v141(constB55)) <=> ((~v88(constB55, bitIndex0)) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | v141(constB55))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30035,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex0)) | v141(constB55))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB55, bitIndex0)) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | v141(constB55)))),
% 74.09/46.94 inference(monotonicity,[status(thm)],[30034])).
% 74.09/46.94 tff(30036,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex0)) | v141(constB55))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB55, bitIndex0)) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | v141(constB55))),
% 74.09/46.94 inference(transitivity,[status(thm)],[30035, 30033])).
% 74.09/46.94 tff(30037,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex0)) | v141(constB55))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(30038,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB55, bitIndex0)) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | v141(constB55)),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[30037, 30036])).
% 74.09/46.94 tff(30039,plain,
% 74.09/46.94 (v141(constB55)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30038, 20945, 30032, 30028, 30024])).
% 74.09/46.94 tff(30040,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB55) | (~v141(constB55)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB55) | (~v141(constB55)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30041,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB55) | (~v141(constB55)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(30042,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB55) | (~v141(constB55))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[30041, 30040])).
% 74.09/46.94 tff(30043,plain,
% 74.09/46.94 (v199(constB55)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30042, 20959, 30039])).
% 74.09/46.94 tff(30044,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB55) | (~v199(constB55)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB55) | (~v199(constB55)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30045,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB55) | (~v199(constB55)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(30046,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB55) | (~v199(constB55))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[30045, 30044])).
% 74.09/46.94 tff(30047,plain,
% 74.09/46.94 (v198(constB55)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30046, 20970, 30043])).
% 74.09/46.94 tff(30048,plain,
% 74.09/46.94 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB55)) | (~v201(constB55)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB55)) | (~v201(constB55)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30049,plain,
% 74.09/46.94 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB55)) | (~v201(constB55)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(30050,plain,
% 74.09/46.94 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB55)) | (~v201(constB55))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[30049, 30048])).
% 74.09/46.94 tff(30051,plain,
% 74.09/46.94 (~v201(constB55)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30050, 20984, 30047])).
% 74.09/46.94 tff(30052,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB55) | (~v198(constB55)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB55) | (~v198(constB55)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30053,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB55) | (~v198(constB55)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(30054,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB55) | (~v198(constB55))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[30053, 30052])).
% 74.09/46.94 tff(30055,plain,
% 74.09/46.94 (v197(constB55)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30054, 20995, 30047])).
% 74.09/46.94 tff(30056,plain,
% 74.09/46.94 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB55) | (~v197(constB55)) | v201(constB55))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB55) | (~v197(constB55)) | v201(constB55))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30057,plain,
% 74.09/46.94 (((~v197(constB55)) | v201(constB55) | v227(constB55)) <=> (v227(constB55) | (~v197(constB55)) | v201(constB55))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30058,plain,
% 74.09/46.94 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB55)) | v201(constB55) | v227(constB55))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB55) | (~v197(constB55)) | v201(constB55)))),
% 74.09/46.94 inference(monotonicity,[status(thm)],[30057])).
% 74.09/46.94 tff(30059,plain,
% 74.09/46.94 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB55)) | v201(constB55) | v227(constB55))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB55) | (~v197(constB55)) | v201(constB55))),
% 74.09/46.94 inference(transitivity,[status(thm)],[30058, 30056])).
% 74.09/46.94 tff(30060,plain,
% 74.09/46.94 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB55)) | v201(constB55) | v227(constB55))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(30061,plain,
% 74.09/46.94 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB55) | (~v197(constB55)) | v201(constB55)),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[30060, 30059])).
% 74.09/46.94 tff(30062,plain,
% 74.09/46.94 (v227(constB55)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30061, 21009, 30055, 30051])).
% 74.09/46.94 tff(30063,plain,
% 74.09/46.94 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB55)) | (~v223(constB55, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB55)) | (~v223(constB55, bitIndex0)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30064,plain,
% 74.09/46.94 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB55)) | (~v223(constB55, bitIndex0)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(30065,plain,
% 74.09/46.94 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB55)) | (~v223(constB55, bitIndex0))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[30064, 30063])).
% 74.09/46.94 tff(30066,plain,
% 74.09/46.94 (~v223(constB55, bitIndex0)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30065, 21023, 30062])).
% 74.09/46.94 tff(30067,plain,
% 74.09/46.94 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB55)) | (~v199(constB55)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB55)) | (~v199(constB55)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30068,plain,
% 74.09/46.94 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB55)) | (~v199(constB55)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(30069,plain,
% 74.09/46.94 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB55)) | (~v199(constB55))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[30068, 30067])).
% 74.09/46.94 tff(30070,plain,
% 74.09/46.94 (~v183(constB55)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30069, 21034, 30043])).
% 74.09/46.94 tff(30071,plain,
% 74.09/46.94 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB55) | v183(constB55) | (~v197(constB55)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB55) | v183(constB55) | (~v197(constB55)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30072,plain,
% 74.09/46.94 (((~v197(constB55)) | v183(constB55) | v228(constB55)) <=> (v228(constB55) | v183(constB55) | (~v197(constB55)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30073,plain,
% 74.09/46.94 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB55)) | v183(constB55) | v228(constB55))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB55) | v183(constB55) | (~v197(constB55))))),
% 74.09/46.94 inference(monotonicity,[status(thm)],[30072])).
% 74.09/46.94 tff(30074,plain,
% 74.09/46.94 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB55)) | v183(constB55) | v228(constB55))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB55) | v183(constB55) | (~v197(constB55)))),
% 74.09/46.94 inference(transitivity,[status(thm)],[30073, 30071])).
% 74.09/46.94 tff(30075,plain,
% 74.09/46.94 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB55)) | v183(constB55) | v228(constB55))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(30076,plain,
% 74.09/46.94 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB55) | v183(constB55) | (~v197(constB55))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[30075, 30074])).
% 74.09/46.94 tff(30077,plain,
% 74.09/46.94 (v228(constB55)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30076, 6287, 30055, 30070])).
% 74.09/46.94 tff(30078,plain,
% 74.09/46.94 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB55)) | (~v223(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB55)) | (~v223(constB55, bitIndex1)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30079,plain,
% 74.09/46.94 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB55)) | (~v223(constB55, bitIndex1)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(30080,plain,
% 74.09/46.94 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB55)) | (~v223(constB55, bitIndex1))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[30079, 30078])).
% 74.09/46.94 tff(30081,plain,
% 74.09/46.94 (~v223(constB55, bitIndex1)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30080, 6301, 30077])).
% 74.09/46.94 tff(30082,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB55, bitIndex1) | v223(constB55, bitIndex0) | (~v229(constB55)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB55, bitIndex1) | v223(constB55, bitIndex0) | (~v229(constB55)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30083,plain,
% 74.09/46.94 ((v223(constB55, bitIndex0) | v223(constB55, bitIndex1) | (~v229(constB55))) <=> (v223(constB55, bitIndex1) | v223(constB55, bitIndex0) | (~v229(constB55)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30084,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB55, bitIndex0) | v223(constB55, bitIndex1) | (~v229(constB55)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB55, bitIndex1) | v223(constB55, bitIndex0) | (~v229(constB55))))),
% 74.09/46.94 inference(monotonicity,[status(thm)],[30083])).
% 74.09/46.94 tff(30085,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB55, bitIndex0) | v223(constB55, bitIndex1) | (~v229(constB55)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB55, bitIndex1) | v223(constB55, bitIndex0) | (~v229(constB55)))),
% 74.09/46.94 inference(transitivity,[status(thm)],[30084, 30082])).
% 74.09/46.94 tff(30086,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB55, bitIndex0) | v223(constB55, bitIndex1) | (~v229(constB55)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(30087,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB55, bitIndex1) | v223(constB55, bitIndex0) | (~v229(constB55))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[30086, 30085])).
% 74.09/46.94 tff(30088,plain,
% 74.09/46.94 (~v229(constB55)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30087, 21059, 30081, 30066])).
% 74.09/46.94 tff(30089,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB55) | (~v225(constB55)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB55) | (~v225(constB55)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30090,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB55) | (~v225(constB55)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(30091,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB55) | (~v225(constB55))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[30090, 30089])).
% 74.09/46.94 tff(30092,plain,
% 74.09/46.94 (~v225(constB55)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30091, 21073, 30088])).
% 74.09/46.94 tff(30093,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB55) | (~v224(constB55)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB55) | (~v224(constB55)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30094,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB55) | (~v224(constB55)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(30095,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB55) | (~v224(constB55))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[30094, 30093])).
% 74.09/46.94 tff(30096,plain,
% 74.09/46.94 (~v224(constB55)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30095, 21084, 30092])).
% 74.09/46.94 tff(30097,plain,
% 74.09/46.94 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB55)) | v223(constB55, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB55)) | v223(constB55, bitIndex1))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30098,plain,
% 74.09/46.94 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB55)) | v223(constB55, bitIndex1))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(30099,plain,
% 74.09/46.94 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB55)) | v223(constB55, bitIndex1)),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[30098, 30097])).
% 74.09/46.94 tff(30100,plain,
% 74.09/46.94 (~v222(constB55)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30099, 6315, 30081])).
% 74.09/46.94 tff(30101,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB55) | v224(constB55) | (~v236(constB55)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB55) | v224(constB55) | (~v236(constB55)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30102,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB55) | v224(constB55) | (~v236(constB55)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(30103,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB55) | v224(constB55) | (~v236(constB55))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[30102, 30101])).
% 74.09/46.94 tff(30104,plain,
% 74.09/46.94 (v224(constB55) | (~v236(constB55))),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30103, 6385, 30100])).
% 74.09/46.94 tff(30105,plain,
% 74.09/46.94 (~v236(constB55)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30104, 30096])).
% 74.09/46.94 tff(30106,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB55) | (~v232(constB55)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB55) | (~v232(constB55)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30107,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB55) | (~v232(constB55)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(30108,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB55) | (~v232(constB55))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[30107, 30106])).
% 74.09/46.94 tff(30109,plain,
% 74.09/46.94 (~v232(constB55)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30108, 6396, 30105])).
% 74.09/46.94 tff(30110,plain,
% 74.09/46.94 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB55, bitIndex1)) | (~v140(constB55)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB55, bitIndex1)) | (~v140(constB55)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30111,plain,
% 74.09/46.94 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB55, bitIndex1)) | (~v140(constB55)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(30112,plain,
% 74.09/46.94 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB55, bitIndex1)) | (~v140(constB55))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[30111, 30110])).
% 74.09/46.94 tff(30113,plain,
% 74.09/46.94 (~v140(constB55)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30112, 21108, 30028])).
% 74.09/46.94 tff(30114,plain,
% 74.09/46.94 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB55, bitIndex0)) | (~v139(constB55)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB55, bitIndex0)) | (~v139(constB55)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30115,plain,
% 74.09/46.94 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB55, bitIndex0)) | (~v139(constB55)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(30116,plain,
% 74.09/46.94 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB55, bitIndex0)) | (~v139(constB55))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[30115, 30114])).
% 74.09/46.94 tff(30117,plain,
% 74.09/46.94 (~v139(constB55)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30116, 6085, 30032])).
% 74.09/46.94 tff(30118,plain,
% 74.09/46.94 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB55) | v139(constB55) | (~v148(constB55)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB55) | v139(constB55) | (~v148(constB55)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30119,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB55) | v139(constB55) | (~v148(constB55)))),
% 74.09/46.94 inference(quant_inst,[status(thm)],[])).
% 74.09/46.94 tff(30120,plain,
% 74.09/46.94 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB55) | v139(constB55) | (~v148(constB55))),
% 74.09/46.94 inference(modus_ponens,[status(thm)],[30119, 30118])).
% 74.09/46.94 tff(30121,plain,
% 74.09/46.94 (~v148(constB55)),
% 74.09/46.94 inference(unit_resolution,[status(thm)],[30120, 6410, 30117, 30113])).
% 74.09/46.94 tff(30122,plain,
% 74.09/46.94 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB55) | v148(constB55) | (~v197(constB55)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB55) | v148(constB55) | (~v197(constB55)))),
% 74.09/46.94 inference(rewrite,[status(thm)],[])).
% 74.09/46.94 tff(30123,plain,
% 74.09/46.94 ((v148(constB55) | (~v197(constB55)) | v252(constB55)) <=> (v252(constB55) | v148(constB55) | (~v197(constB55)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30124,plain,
% 74.09/46.95 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB55) | (~v197(constB55)) | v252(constB55))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB55) | v148(constB55) | (~v197(constB55))))),
% 74.09/46.95 inference(monotonicity,[status(thm)],[30123])).
% 74.09/46.95 tff(30125,plain,
% 74.09/46.95 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB55) | (~v197(constB55)) | v252(constB55))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB55) | v148(constB55) | (~v197(constB55)))),
% 74.09/46.95 inference(transitivity,[status(thm)],[30124, 30122])).
% 74.09/46.95 tff(30126,plain,
% 74.09/46.95 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB55) | (~v197(constB55)) | v252(constB55))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30127,plain,
% 74.09/46.95 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB55) | v148(constB55) | (~v197(constB55))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30126, 30125])).
% 74.09/46.95 tff(30128,plain,
% 74.09/46.95 (v252(constB55) | (~v197(constB55))),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30127, 6427, 30121])).
% 74.09/46.95 tff(30129,plain,
% 74.09/46.95 (v252(constB55)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30128, 30055])).
% 74.09/46.95 tff(30130,plain,
% 74.09/46.95 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB55)) | (~v223(constB55, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB55)) | (~v223(constB55, bitIndex3)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30131,plain,
% 74.09/46.95 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB55)) | (~v223(constB55, bitIndex3)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30132,plain,
% 74.09/46.95 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB55)) | (~v223(constB55, bitIndex3))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30131, 30130])).
% 74.09/46.95 tff(30133,plain,
% 74.09/46.95 (~v223(constB55, bitIndex3)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30132, 6441, 30129])).
% 74.09/46.95 tff(30134,plain,
% 74.09/46.95 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB55)) | v223(constB55, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB55)) | v223(constB55, bitIndex3))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30135,plain,
% 74.09/46.95 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB55)) | v223(constB55, bitIndex3))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30136,plain,
% 74.09/46.95 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB55)) | v223(constB55, bitIndex3)),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30135, 30134])).
% 74.09/46.95 tff(30137,plain,
% 74.09/46.95 (~v237(constB55)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30136, 6455, 30133])).
% 74.09/46.95 tff(30138,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB55) | (~v248(constB55)) | v232(constB55))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB55) | (~v248(constB55)) | v232(constB55))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30139,plain,
% 74.09/46.95 ((v237(constB55) | v232(constB55) | (~v248(constB55))) <=> (v237(constB55) | (~v248(constB55)) | v232(constB55))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30140,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB55) | v232(constB55) | (~v248(constB55)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB55) | (~v248(constB55)) | v232(constB55)))),
% 74.09/46.95 inference(monotonicity,[status(thm)],[30139])).
% 74.09/46.95 tff(30141,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB55) | v232(constB55) | (~v248(constB55)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB55) | (~v248(constB55)) | v232(constB55))),
% 74.09/46.95 inference(transitivity,[status(thm)],[30140, 30138])).
% 74.09/46.95 tff(30142,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB55) | v232(constB55) | (~v248(constB55)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30143,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB55) | (~v248(constB55)) | v232(constB55)),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30142, 30141])).
% 74.09/46.95 tff(30144,plain,
% 74.09/46.95 ((~v248(constB55)) | v232(constB55)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30143, 6469, 30137])).
% 74.09/46.95 tff(30145,plain,
% 74.09/46.95 (~v248(constB55)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30144, 30109])).
% 74.09/46.95 tff(30146,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB55) | (~v244(constB55)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB55) | (~v244(constB55)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30147,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB55) | (~v244(constB55)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30148,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB55) | (~v244(constB55))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30147, 30146])).
% 74.09/46.95 tff(30149,plain,
% 74.09/46.95 (~v244(constB55)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30148, 6484, 30145])).
% 74.09/46.95 tff(30150,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB55) | (~v216(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB55) | (~v216(constB55, bitIndex1)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30151,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB55) | (~v216(constB55, bitIndex1)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30152,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB55) | (~v216(constB55, bitIndex1))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30151, 30150])).
% 74.09/46.95 tff(30153,plain,
% 74.09/46.95 (~v216(constB55, bitIndex1)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30152, 6495, 30149])).
% 74.09/46.95 tff(30154,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB55, bitIndex1) | (~v254(constB55)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB55, bitIndex1) | (~v254(constB55)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30155,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB55, bitIndex1) | (~v254(constB55)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30156,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB55, bitIndex1) | (~v254(constB55))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30155, 30154])).
% 74.09/46.95 tff(30157,plain,
% 74.09/46.95 (~v254(constB55)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30156, 6506, 30153])).
% 74.09/46.95 tff(30158,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB55) | (~v231(constB55)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB55) | (~v231(constB55)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30159,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB55) | (~v231(constB55)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30160,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB55) | (~v231(constB55))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30159, 30158])).
% 74.09/46.95 tff(30161,plain,
% 74.09/46.95 (~v231(constB55)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30160, 6528, 30137])).
% 74.09/46.95 tff(30162,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB55) | (~v221(constB55)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB55) | (~v221(constB55)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30163,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB55) | (~v221(constB55)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30164,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB55) | (~v221(constB55))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30163, 30162])).
% 74.09/46.95 tff(30165,plain,
% 74.09/46.95 (~v221(constB55)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30164, 21170, 30100])).
% 74.09/46.95 tff(30166,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB55) | v231(constB55) | (~v243(constB55)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB55) | v231(constB55) | (~v243(constB55)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30167,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB55) | v231(constB55) | (~v243(constB55)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30168,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB55) | v231(constB55) | (~v243(constB55))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30167, 30166])).
% 74.09/46.95 tff(30169,plain,
% 74.09/46.95 (~v243(constB55)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30168, 6542, 30165, 30161])).
% 74.09/46.95 tff(30170,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB55) | v255(constB55))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB55) | v255(constB55))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30171,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB55) | v255(constB55))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30172,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB55) | v255(constB55)),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30171, 30170])).
% 74.09/46.95 tff(30173,plain,
% 74.09/46.95 (v255(constB55)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30172, 6553, 30169])).
% 74.09/46.95 tff(30174,plain,
% 74.09/46.95 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB55)) | (~v216(constB55, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB55)) | (~v216(constB55, bitIndex2)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30175,plain,
% 74.09/46.95 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB55)) | (~v216(constB55, bitIndex2)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30176,plain,
% 74.09/46.95 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB55)) | (~v216(constB55, bitIndex2))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30175, 30174])).
% 74.09/46.95 tff(30177,plain,
% 74.09/46.95 (~v216(constB55, bitIndex2)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30176, 6564, 30173])).
% 74.09/46.95 tff(30178,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB55, bitIndex2) | v254(constB55) | (~v215(constB55)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB55, bitIndex2) | v254(constB55) | (~v215(constB55)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30179,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB55, bitIndex2) | v254(constB55) | (~v215(constB55)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30180,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB55, bitIndex2) | v254(constB55) | (~v215(constB55))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30179, 30178])).
% 74.09/46.95 tff(30181,plain,
% 74.09/46.95 (v254(constB55) | (~v215(constB55))),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30180, 6578, 30177])).
% 74.09/46.95 tff(30182,plain,
% 74.09/46.95 (~v215(constB55)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30181, 30157])).
% 74.09/46.95 tff(30183,plain,
% 74.09/46.95 ($false),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30182, 30020])).
% 74.09/46.95 tff(30184,plain,(~(constB55 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.09/46.95 tff(30185,assumption,(constB3 = sK0_VarCurr), introduced(assumption)).
% 74.09/46.95 tff(30186,plain,
% 74.09/46.95 (v215(constB3) <=> v215(sK0_VarCurr)),
% 74.09/46.95 inference(monotonicity,[status(thm)],[30185])).
% 74.09/46.95 tff(30187,plain,
% 74.09/46.95 (v215(sK0_VarCurr) <=> v215(constB3)),
% 74.09/46.95 inference(symmetry,[status(thm)],[30186])).
% 74.09/46.95 tff(30188,plain,
% 74.09/46.95 (v215(constB3)),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[28, 30187])).
% 74.09/46.95 tff(30189,plain,
% 74.09/46.95 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB3, bitIndex0)) | v88(constB3, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB3, bitIndex0)) | v88(constB3, bitIndex0))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30190,plain,
% 74.09/46.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB3, bitIndex0)) | v88(constB3, bitIndex0))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30191,plain,
% 74.09/46.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB3, bitIndex0)) | v88(constB3, bitIndex0)),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30190, 30189])).
% 74.09/46.95 tff(30192,plain,
% 74.09/46.95 (v88(constB3, bitIndex0)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30191, 6074, 446])).
% 74.09/46.95 tff(30193,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB3, bitIndex2) | (~v88(constB3, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB3, bitIndex2) | (~v88(constB3, bitIndex2)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30194,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB3, bitIndex2) | (~v88(constB3, bitIndex2)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30195,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB3, bitIndex2) | (~v88(constB3, bitIndex2))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30194, 30193])).
% 74.09/46.95 tff(30196,plain,
% 74.09/46.95 (~v88(constB3, bitIndex2)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30195, 20913, 520])).
% 74.09/46.95 tff(30197,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB3, bitIndex1) | (~v88(constB3, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB3, bitIndex1) | (~v88(constB3, bitIndex1)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30198,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB3, bitIndex1) | (~v88(constB3, bitIndex1)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30199,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB3, bitIndex1) | (~v88(constB3, bitIndex1))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30198, 30197])).
% 74.09/46.95 tff(30200,plain,
% 74.09/46.95 (~v88(constB3, bitIndex1)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30199, 6234, 621])).
% 74.09/46.95 tff(30201,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB3, bitIndex1) | v88(constB3, bitIndex2) | (~v88(constB3, bitIndex0)) | v140(constB3))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB3, bitIndex1) | v88(constB3, bitIndex2) | (~v88(constB3, bitIndex0)) | v140(constB3))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30202,plain,
% 74.09/46.95 ((v88(constB3, bitIndex2) | v88(constB3, bitIndex1) | (~v88(constB3, bitIndex0)) | v140(constB3)) <=> (v88(constB3, bitIndex1) | v88(constB3, bitIndex2) | (~v88(constB3, bitIndex0)) | v140(constB3))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30203,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB3, bitIndex2) | v88(constB3, bitIndex1) | (~v88(constB3, bitIndex0)) | v140(constB3))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB3, bitIndex1) | v88(constB3, bitIndex2) | (~v88(constB3, bitIndex0)) | v140(constB3)))),
% 74.09/46.95 inference(monotonicity,[status(thm)],[30202])).
% 74.09/46.95 tff(30204,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB3, bitIndex2) | v88(constB3, bitIndex1) | (~v88(constB3, bitIndex0)) | v140(constB3))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB3, bitIndex1) | v88(constB3, bitIndex2) | (~v88(constB3, bitIndex0)) | v140(constB3))),
% 74.09/46.95 inference(transitivity,[status(thm)],[30203, 30201])).
% 74.09/46.95 tff(30205,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB3, bitIndex2) | v88(constB3, bitIndex1) | (~v88(constB3, bitIndex0)) | v140(constB3))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30206,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB3, bitIndex1) | v88(constB3, bitIndex2) | (~v88(constB3, bitIndex0)) | v140(constB3)),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30205, 30204])).
% 74.09/46.95 tff(30207,plain,
% 74.09/46.95 (v88(constB3, bitIndex2) | (~v88(constB3, bitIndex0)) | v140(constB3)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30206, 27506, 30200])).
% 74.09/46.95 tff(30208,plain,
% 74.09/46.95 (v140(constB3)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30207, 30196, 30192])).
% 74.09/46.95 tff(30209,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB3) | (~v140(constB3)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB3) | (~v140(constB3)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30210,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB3) | (~v140(constB3)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30211,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB3) | (~v140(constB3))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30210, 30209])).
% 74.09/46.95 tff(30212,plain,
% 74.09/46.95 (v200(constB3)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30211, 27520, 30208])).
% 74.09/46.95 tff(30213,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB3) | (~v200(constB3)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB3) | (~v200(constB3)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30214,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB3) | (~v200(constB3)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30215,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB3) | (~v200(constB3))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30214, 30213])).
% 74.09/46.95 tff(30216,plain,
% 74.09/46.95 (v199(constB3)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30215, 27531, 30212])).
% 74.09/46.95 tff(30217,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB3) | (~v199(constB3)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB3) | (~v199(constB3)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30218,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB3) | (~v199(constB3)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30219,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB3) | (~v199(constB3))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30218, 30217])).
% 74.09/46.95 tff(30220,plain,
% 74.09/46.95 (v198(constB3)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30219, 20970, 30216])).
% 74.09/46.95 tff(30221,plain,
% 74.09/46.95 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB3)) | (~v201(constB3)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB3)) | (~v201(constB3)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30222,plain,
% 74.09/46.95 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB3)) | (~v201(constB3)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30223,plain,
% 74.09/46.95 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB3)) | (~v201(constB3))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30222, 30221])).
% 74.09/46.95 tff(30224,plain,
% 74.09/46.95 (~v201(constB3)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30223, 20984, 30220])).
% 74.09/46.95 tff(30225,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB3) | (~v198(constB3)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB3) | (~v198(constB3)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30226,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB3) | (~v198(constB3)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30227,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB3) | (~v198(constB3))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30226, 30225])).
% 74.09/46.95 tff(30228,plain,
% 74.09/46.95 (v197(constB3)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30227, 20995, 30220])).
% 74.09/46.95 tff(30229,plain,
% 74.09/46.95 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB3) | (~v197(constB3)) | v201(constB3))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB3) | (~v197(constB3)) | v201(constB3))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30230,plain,
% 74.09/46.95 (((~v197(constB3)) | v201(constB3) | v227(constB3)) <=> (v227(constB3) | (~v197(constB3)) | v201(constB3))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30231,plain,
% 74.09/46.95 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB3)) | v201(constB3) | v227(constB3))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB3) | (~v197(constB3)) | v201(constB3)))),
% 74.09/46.95 inference(monotonicity,[status(thm)],[30230])).
% 74.09/46.95 tff(30232,plain,
% 74.09/46.95 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB3)) | v201(constB3) | v227(constB3))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB3) | (~v197(constB3)) | v201(constB3))),
% 74.09/46.95 inference(transitivity,[status(thm)],[30231, 30229])).
% 74.09/46.95 tff(30233,plain,
% 74.09/46.95 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB3)) | v201(constB3) | v227(constB3))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30234,plain,
% 74.09/46.95 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB3) | (~v197(constB3)) | v201(constB3)),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30233, 30232])).
% 74.09/46.95 tff(30235,plain,
% 74.09/46.95 (v227(constB3)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30234, 21009, 30228, 30224])).
% 74.09/46.95 tff(30236,plain,
% 74.09/46.95 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB3)) | (~v223(constB3, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB3)) | (~v223(constB3, bitIndex0)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30237,plain,
% 74.09/46.95 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB3)) | (~v223(constB3, bitIndex0)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30238,plain,
% 74.09/46.95 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB3)) | (~v223(constB3, bitIndex0))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30237, 30236])).
% 74.09/46.95 tff(30239,plain,
% 74.09/46.95 (~v223(constB3, bitIndex0)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30238, 21023, 30235])).
% 74.09/46.95 tff(30240,plain,
% 74.09/46.95 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB3)) | (~v199(constB3)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB3)) | (~v199(constB3)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30241,plain,
% 74.09/46.95 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB3)) | (~v199(constB3)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30242,plain,
% 74.09/46.95 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB3)) | (~v199(constB3))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30241, 30240])).
% 74.09/46.95 tff(30243,plain,
% 74.09/46.95 (~v183(constB3)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30242, 21034, 30216])).
% 74.09/46.95 tff(30244,plain,
% 74.09/46.95 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB3) | (~v197(constB3)) | v183(constB3))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB3) | (~v197(constB3)) | v183(constB3))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30245,plain,
% 74.09/46.95 (((~v197(constB3)) | v183(constB3) | v228(constB3)) <=> (v228(constB3) | (~v197(constB3)) | v183(constB3))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30246,plain,
% 74.09/46.95 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB3)) | v183(constB3) | v228(constB3))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB3) | (~v197(constB3)) | v183(constB3)))),
% 74.09/46.95 inference(monotonicity,[status(thm)],[30245])).
% 74.09/46.95 tff(30247,plain,
% 74.09/46.95 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB3)) | v183(constB3) | v228(constB3))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB3) | (~v197(constB3)) | v183(constB3))),
% 74.09/46.95 inference(transitivity,[status(thm)],[30246, 30244])).
% 74.09/46.95 tff(30248,plain,
% 74.09/46.95 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB3)) | v183(constB3) | v228(constB3))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30249,plain,
% 74.09/46.95 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB3) | (~v197(constB3)) | v183(constB3)),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30248, 30247])).
% 74.09/46.95 tff(30250,plain,
% 74.09/46.95 (v228(constB3)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30249, 6287, 30228, 30243])).
% 74.09/46.95 tff(30251,plain,
% 74.09/46.95 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB3)) | (~v223(constB3, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB3)) | (~v223(constB3, bitIndex1)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30252,plain,
% 74.09/46.95 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB3)) | (~v223(constB3, bitIndex1)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30253,plain,
% 74.09/46.95 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB3)) | (~v223(constB3, bitIndex1))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30252, 30251])).
% 74.09/46.95 tff(30254,plain,
% 74.09/46.95 (~v223(constB3, bitIndex1)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30253, 6301, 30250])).
% 74.09/46.95 tff(30255,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB3, bitIndex1) | v223(constB3, bitIndex0) | (~v229(constB3)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB3, bitIndex1) | v223(constB3, bitIndex0) | (~v229(constB3)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30256,plain,
% 74.09/46.95 ((v223(constB3, bitIndex0) | v223(constB3, bitIndex1) | (~v229(constB3))) <=> (v223(constB3, bitIndex1) | v223(constB3, bitIndex0) | (~v229(constB3)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30257,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB3, bitIndex0) | v223(constB3, bitIndex1) | (~v229(constB3)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB3, bitIndex1) | v223(constB3, bitIndex0) | (~v229(constB3))))),
% 74.09/46.95 inference(monotonicity,[status(thm)],[30256])).
% 74.09/46.95 tff(30258,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB3, bitIndex0) | v223(constB3, bitIndex1) | (~v229(constB3)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB3, bitIndex1) | v223(constB3, bitIndex0) | (~v229(constB3)))),
% 74.09/46.95 inference(transitivity,[status(thm)],[30257, 30255])).
% 74.09/46.95 tff(30259,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB3, bitIndex0) | v223(constB3, bitIndex1) | (~v229(constB3)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30260,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB3, bitIndex1) | v223(constB3, bitIndex0) | (~v229(constB3))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30259, 30258])).
% 74.09/46.95 tff(30261,plain,
% 74.09/46.95 (~v229(constB3)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30260, 21059, 30254, 30239])).
% 74.09/46.95 tff(30262,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB3) | (~v225(constB3)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB3) | (~v225(constB3)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30263,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB3) | (~v225(constB3)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30264,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB3) | (~v225(constB3))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30263, 30262])).
% 74.09/46.95 tff(30265,plain,
% 74.09/46.95 (~v225(constB3)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30264, 21073, 30261])).
% 74.09/46.95 tff(30266,plain,
% 74.09/46.95 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB3)) | (~v200(constB3)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB3)) | (~v200(constB3)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30267,plain,
% 74.09/46.95 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB3)) | (~v200(constB3)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30268,plain,
% 74.09/46.95 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB3)) | (~v200(constB3))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30267, 30266])).
% 74.09/46.95 tff(30269,plain,
% 74.09/46.95 (~v166(constB3)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30268, 27591, 30212])).
% 74.09/46.95 tff(30270,plain,
% 74.09/46.95 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB3) | (~v197(constB3)) | v166(constB3))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB3) | (~v197(constB3)) | v166(constB3))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30271,plain,
% 74.09/46.95 (((~v197(constB3)) | v166(constB3) | v241(constB3)) <=> (v241(constB3) | (~v197(constB3)) | v166(constB3))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30272,plain,
% 74.09/46.95 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB3)) | v166(constB3) | v241(constB3))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB3) | (~v197(constB3)) | v166(constB3)))),
% 74.09/46.95 inference(monotonicity,[status(thm)],[30271])).
% 74.09/46.95 tff(30273,plain,
% 74.09/46.95 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB3)) | v166(constB3) | v241(constB3))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB3) | (~v197(constB3)) | v166(constB3))),
% 74.09/46.95 inference(transitivity,[status(thm)],[30272, 30270])).
% 74.09/46.95 tff(30274,plain,
% 74.09/46.95 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB3)) | v166(constB3) | v241(constB3))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30275,plain,
% 74.09/46.95 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB3) | (~v197(constB3)) | v166(constB3)),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30274, 30273])).
% 74.09/46.95 tff(30276,plain,
% 74.09/46.95 (v241(constB3) | (~v197(constB3))),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30275, 6343, 30269])).
% 74.09/46.95 tff(30277,plain,
% 74.09/46.95 (v241(constB3)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30276, 30228])).
% 74.09/46.95 tff(30278,plain,
% 74.09/46.95 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB3)) | (~v223(constB3, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB3)) | (~v223(constB3, bitIndex2)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30279,plain,
% 74.09/46.95 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB3)) | (~v223(constB3, bitIndex2)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30280,plain,
% 74.09/46.95 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB3)) | (~v223(constB3, bitIndex2))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30279, 30278])).
% 74.09/46.95 tff(30281,plain,
% 74.09/46.95 (~v223(constB3, bitIndex2)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30280, 6357, 30277])).
% 74.09/46.95 tff(30282,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB3, bitIndex2) | v225(constB3) | (~v242(constB3)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB3, bitIndex2) | v225(constB3) | (~v242(constB3)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30283,plain,
% 74.09/46.95 ((v225(constB3) | v223(constB3, bitIndex2) | (~v242(constB3))) <=> (v223(constB3, bitIndex2) | v225(constB3) | (~v242(constB3)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30284,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB3) | v223(constB3, bitIndex2) | (~v242(constB3)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB3, bitIndex2) | v225(constB3) | (~v242(constB3))))),
% 74.09/46.95 inference(monotonicity,[status(thm)],[30283])).
% 74.09/46.95 tff(30285,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB3) | v223(constB3, bitIndex2) | (~v242(constB3)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB3, bitIndex2) | v225(constB3) | (~v242(constB3)))),
% 74.09/46.95 inference(transitivity,[status(thm)],[30284, 30282])).
% 74.09/46.95 tff(30286,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB3) | v223(constB3, bitIndex2) | (~v242(constB3)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30287,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB3, bitIndex2) | v225(constB3) | (~v242(constB3))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30286, 30285])).
% 74.09/46.95 tff(30288,plain,
% 74.09/46.95 (v225(constB3) | (~v242(constB3))),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30287, 27617, 30281])).
% 74.09/46.95 tff(30289,plain,
% 74.09/46.95 (~v242(constB3)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30288, 30265])).
% 74.09/46.95 tff(30290,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB3) | (~v238(constB3)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB3) | (~v238(constB3)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30291,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB3) | (~v238(constB3)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30292,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB3) | (~v238(constB3))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30291, 30290])).
% 74.09/46.95 tff(30293,plain,
% 74.09/46.95 (~v238(constB3)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30292, 27632, 30289])).
% 74.09/46.95 tff(30294,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB3) | (~v237(constB3)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB3) | (~v237(constB3)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30295,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB3) | (~v237(constB3)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30296,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB3) | (~v237(constB3))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30295, 30294])).
% 74.09/46.95 tff(30297,plain,
% 74.09/46.95 (~v237(constB3)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30296, 27643, 30293])).
% 74.09/46.95 tff(30298,plain,
% 74.09/46.95 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB3)) | v223(constB3, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB3)) | v223(constB3, bitIndex2))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30299,plain,
% 74.09/46.95 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB3)) | v223(constB3, bitIndex2))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30300,plain,
% 74.09/46.95 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB3)) | v223(constB3, bitIndex2)),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30299, 30298])).
% 74.09/46.95 tff(30301,plain,
% 74.09/46.95 (~v224(constB3)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30300, 6371, 30281])).
% 74.09/46.95 tff(30302,plain,
% 74.09/46.95 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB3)) | v223(constB3, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB3)) | v223(constB3, bitIndex1))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30303,plain,
% 74.09/46.95 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB3)) | v223(constB3, bitIndex1))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30304,plain,
% 74.09/46.95 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB3)) | v223(constB3, bitIndex1)),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30303, 30302])).
% 74.09/46.95 tff(30305,plain,
% 74.09/46.95 (~v222(constB3)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30304, 6315, 30254])).
% 74.09/46.95 tff(30306,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB3) | v224(constB3) | (~v236(constB3)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB3) | v224(constB3) | (~v236(constB3)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30307,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB3) | v224(constB3) | (~v236(constB3)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30308,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB3) | v224(constB3) | (~v236(constB3))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30307, 30306])).
% 74.09/46.95 tff(30309,plain,
% 74.09/46.95 (~v236(constB3)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30308, 6385, 30305, 30301])).
% 74.09/46.95 tff(30310,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB3) | (~v232(constB3)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB3) | (~v232(constB3)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30311,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB3) | (~v232(constB3)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30312,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB3) | (~v232(constB3))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30311, 30310])).
% 74.09/46.95 tff(30313,plain,
% 74.09/46.95 (~v232(constB3)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30312, 6396, 30309])).
% 74.09/46.95 tff(30314,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB3) | v232(constB3) | (~v248(constB3)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB3) | v232(constB3) | (~v248(constB3)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30315,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB3) | v232(constB3) | (~v248(constB3)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.95 tff(30316,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB3) | v232(constB3) | (~v248(constB3))),
% 74.09/46.95 inference(modus_ponens,[status(thm)],[30315, 30314])).
% 74.09/46.95 tff(30317,plain,
% 74.09/46.95 (v237(constB3) | (~v248(constB3))),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30316, 6469, 30313])).
% 74.09/46.95 tff(30318,plain,
% 74.09/46.95 (~v248(constB3)),
% 74.09/46.95 inference(unit_resolution,[status(thm)],[30317, 30297])).
% 74.09/46.95 tff(30319,plain,
% 74.09/46.95 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB3) | (~v244(constB3)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB3) | (~v244(constB3)))),
% 74.09/46.95 inference(rewrite,[status(thm)],[])).
% 74.09/46.95 tff(30320,plain,
% 74.09/46.95 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB3) | (~v244(constB3)))),
% 74.09/46.95 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30321,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB3) | (~v244(constB3))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30320, 30319])).
% 74.09/46.96 tff(30322,plain,
% 74.09/46.96 (~v244(constB3)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30321, 6484, 30318])).
% 74.09/46.96 tff(30323,plain,
% 74.09/46.96 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB3) | (~v216(constB3, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB3) | (~v216(constB3, bitIndex1)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30324,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB3) | (~v216(constB3, bitIndex1)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30325,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB3) | (~v216(constB3, bitIndex1))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30324, 30323])).
% 74.09/46.96 tff(30326,plain,
% 74.09/46.96 (~v216(constB3, bitIndex1)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30325, 6495, 30322])).
% 74.09/46.96 tff(30327,plain,
% 74.09/46.96 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB3, bitIndex1) | (~v254(constB3)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB3, bitIndex1) | (~v254(constB3)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30328,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB3, bitIndex1) | (~v254(constB3)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30329,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB3, bitIndex1) | (~v254(constB3))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30328, 30327])).
% 74.09/46.96 tff(30330,plain,
% 74.09/46.96 (~v254(constB3)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30329, 6506, 30326])).
% 74.09/46.96 tff(30331,plain,
% 74.09/46.96 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB3) | (~v231(constB3)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB3) | (~v231(constB3)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30332,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB3) | (~v231(constB3)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30333,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB3) | (~v231(constB3))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30332, 30331])).
% 74.09/46.96 tff(30334,plain,
% 74.09/46.96 (~v231(constB3)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30333, 27687, 30313])).
% 74.09/46.96 tff(30335,plain,
% 74.09/46.96 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB3) | (~v221(constB3)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB3) | (~v221(constB3)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30336,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB3) | (~v221(constB3)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30337,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB3) | (~v221(constB3))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30336, 30335])).
% 74.09/46.96 tff(30338,plain,
% 74.09/46.96 (~v221(constB3)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30337, 21170, 30305])).
% 74.09/46.96 tff(30339,plain,
% 74.09/46.96 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB3) | v231(constB3) | (~v243(constB3)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB3) | v231(constB3) | (~v243(constB3)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30340,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB3) | v231(constB3) | (~v243(constB3)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30341,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB3) | v231(constB3) | (~v243(constB3))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30340, 30339])).
% 74.09/46.96 tff(30342,plain,
% 74.09/46.96 (v231(constB3) | (~v243(constB3))),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30341, 6542, 30338])).
% 74.09/46.96 tff(30343,plain,
% 74.09/46.96 (~v243(constB3)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30342, 30334])).
% 74.09/46.96 tff(30344,plain,
% 74.09/46.96 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB3) | v255(constB3))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB3) | v255(constB3))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30345,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB3) | v255(constB3))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30346,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB3) | v255(constB3)),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30345, 30344])).
% 74.09/46.96 tff(30347,plain,
% 74.09/46.96 (v255(constB3)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30346, 6553, 30343])).
% 74.09/46.96 tff(30348,plain,
% 74.09/46.96 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB3)) | (~v216(constB3, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB3)) | (~v216(constB3, bitIndex2)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30349,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB3)) | (~v216(constB3, bitIndex2)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30350,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB3)) | (~v216(constB3, bitIndex2))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30349, 30348])).
% 74.09/46.96 tff(30351,plain,
% 74.09/46.96 (~v216(constB3, bitIndex2)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30350, 6564, 30347])).
% 74.09/46.96 tff(30352,plain,
% 74.09/46.96 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB3, bitIndex2) | v254(constB3) | (~v215(constB3)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB3, bitIndex2) | v254(constB3) | (~v215(constB3)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30353,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB3, bitIndex2) | v254(constB3) | (~v215(constB3)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30354,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB3, bitIndex2) | v254(constB3) | (~v215(constB3))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30353, 30352])).
% 74.09/46.96 tff(30355,plain,
% 74.09/46.96 (v254(constB3) | (~v215(constB3))),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30354, 6578, 30351])).
% 74.09/46.96 tff(30356,plain,
% 74.09/46.96 (~v215(constB3)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30355, 30330])).
% 74.09/46.96 tff(30357,plain,
% 74.09/46.96 ($false),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30356, 30188])).
% 74.09/46.96 tff(30358,plain,(~(constB3 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.09/46.96 tff(30359,assumption,(constB83 = sK0_VarCurr), introduced(assumption)).
% 74.09/46.96 tff(30360,plain,
% 74.09/46.96 (v215(constB83) <=> v215(sK0_VarCurr)),
% 74.09/46.96 inference(monotonicity,[status(thm)],[30359])).
% 74.09/46.96 tff(30361,plain,
% 74.09/46.96 (v215(sK0_VarCurr) <=> v215(constB83)),
% 74.09/46.96 inference(symmetry,[status(thm)],[30360])).
% 74.09/46.96 tff(30362,plain,
% 74.09/46.96 (v215(constB83)),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[28, 30361])).
% 74.09/46.96 tff(30363,plain,
% 74.09/46.96 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB83, bitIndex0)) | v88(constB83, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB83, bitIndex0)) | v88(constB83, bitIndex0))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30364,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB83, bitIndex0)) | v88(constB83, bitIndex0))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30365,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB83, bitIndex0)) | v88(constB83, bitIndex0)),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30364, 30363])).
% 74.09/46.96 tff(30366,plain,
% 74.09/46.96 (v88(constB83, bitIndex0)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30365, 6074, 13470])).
% 74.09/46.96 tff(30367,plain,
% 74.09/46.96 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB83, bitIndex0)) | (~v139(constB83)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB83, bitIndex0)) | (~v139(constB83)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30368,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB83, bitIndex0)) | (~v139(constB83)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30369,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB83, bitIndex0)) | (~v139(constB83))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30368, 30367])).
% 74.09/46.96 tff(30370,plain,
% 74.09/46.96 (~v139(constB83)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30369, 6085, 30366])).
% 74.09/46.96 tff(30371,plain,
% 74.09/46.96 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB83, bitIndex2)) | v88(constB83, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB83, bitIndex2)) | v88(constB83, bitIndex2))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30372,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB83, bitIndex2)) | v88(constB83, bitIndex2))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30373,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB83, bitIndex2)) | v88(constB83, bitIndex2)),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30372, 30371])).
% 74.09/46.96 tff(30374,plain,
% 74.09/46.96 (v88(constB83, bitIndex2)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30373, 6015, 13405])).
% 74.09/46.96 tff(30375,plain,
% 74.09/46.96 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB83, bitIndex2)) | (~v140(constB83)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB83, bitIndex2)) | (~v140(constB83)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30376,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB83, bitIndex2)) | (~v140(constB83)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30377,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB83, bitIndex2)) | (~v140(constB83))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30376, 30375])).
% 74.09/46.96 tff(30378,plain,
% 74.09/46.96 (~v140(constB83)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30377, 6026, 30374])).
% 74.09/46.96 tff(30379,plain,
% 74.09/46.96 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB83) | v139(constB83) | (~v200(constB83)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB83) | v139(constB83) | (~v200(constB83)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30380,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB83) | v139(constB83) | (~v200(constB83)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30381,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB83) | v139(constB83) | (~v200(constB83))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30380, 30379])).
% 74.09/46.96 tff(30382,plain,
% 74.09/46.96 (~v200(constB83)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30381, 6102, 30378, 30370])).
% 74.09/46.96 tff(30383,plain,
% 74.09/46.96 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB83, bitIndex2)) | (~v141(constB83)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB83, bitIndex2)) | (~v141(constB83)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30384,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB83, bitIndex2)) | (~v141(constB83)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30385,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB83, bitIndex2)) | (~v141(constB83))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30384, 30383])).
% 74.09/46.96 tff(30386,plain,
% 74.09/46.96 (~v141(constB83)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30385, 6116, 30374])).
% 74.09/46.96 tff(30387,plain,
% 74.09/46.96 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB83) | v200(constB83) | (~v199(constB83)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB83) | v200(constB83) | (~v199(constB83)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30388,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB83) | v200(constB83) | (~v199(constB83)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30389,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB83) | v200(constB83) | (~v199(constB83))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30388, 30387])).
% 74.09/46.96 tff(30390,plain,
% 74.09/46.96 (~v199(constB83)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30389, 6133, 30386, 30382])).
% 74.09/46.96 tff(30391,plain,
% 74.09/46.96 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB83, bitIndex0)) | (~v143(constB83)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB83, bitIndex0)) | (~v143(constB83)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30392,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB83, bitIndex0)) | (~v143(constB83)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30393,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB83, bitIndex0)) | (~v143(constB83))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30392, 30391])).
% 74.09/46.96 tff(30394,plain,
% 74.09/46.96 (~v143(constB83)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30393, 6144, 30366])).
% 74.09/46.96 tff(30395,plain,
% 74.09/46.96 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB83, bitIndex0)) | (~v144(constB83)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB83, bitIndex0)) | (~v144(constB83)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30396,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB83, bitIndex0)) | (~v144(constB83)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30397,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB83, bitIndex0)) | (~v144(constB83))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30396, 30395])).
% 74.09/46.96 tff(30398,plain,
% 74.09/46.96 (~v144(constB83)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30397, 6158, 30366])).
% 74.09/46.96 tff(30399,plain,
% 74.09/46.96 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB83) | v144(constB83) | (~v142(constB83)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB83) | v144(constB83) | (~v142(constB83)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30400,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB83) | v144(constB83) | (~v142(constB83)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30401,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB83) | v144(constB83) | (~v142(constB83))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30400, 30399])).
% 74.09/46.96 tff(30402,plain,
% 74.09/46.96 (~v142(constB83)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30401, 6175, 30398, 30394])).
% 74.09/46.96 tff(30403,plain,
% 74.09/46.96 (((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB83) | v199(constB83) | (~v183(constB83)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB83) | v199(constB83) | (~v183(constB83)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30404,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB83) | v199(constB83) | (~v183(constB83)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30405,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB83) | v199(constB83) | (~v183(constB83))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30404, 30403])).
% 74.09/46.96 tff(30406,plain,
% 74.09/46.96 (~v183(constB83)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30405, 6189, 30402, 30390])).
% 74.09/46.96 tff(30407,plain,
% 74.09/46.96 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB83, bitIndex1) | (~v88(constB83, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB83, bitIndex1) | (~v88(constB83, bitIndex1)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30408,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB83, bitIndex1) | (~v88(constB83, bitIndex1)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30409,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB83, bitIndex1) | (~v88(constB83, bitIndex1))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30408, 30407])).
% 74.09/46.96 tff(30410,plain,
% 74.09/46.96 (~v88(constB83, bitIndex1)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30409, 6234, 13439])).
% 74.09/46.96 tff(30411,plain,
% 74.09/46.96 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB83, bitIndex0)) | v147(constB83) | (~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB83, bitIndex0)) | v147(constB83) | (~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30412,plain,
% 74.09/46.96 (((~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)) | v147(constB83)) <=> ((~v88(constB83, bitIndex0)) | v147(constB83) | (~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30413,plain,
% 74.09/46.96 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)) | v147(constB83))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB83, bitIndex0)) | v147(constB83) | (~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1)))),
% 74.09/46.96 inference(monotonicity,[status(thm)],[30412])).
% 74.09/46.96 tff(30414,plain,
% 74.09/46.96 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)) | v147(constB83))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB83, bitIndex0)) | v147(constB83) | (~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1))),
% 74.09/46.96 inference(transitivity,[status(thm)],[30413, 30411])).
% 74.09/46.96 tff(30415,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1) | (~v88(constB83, bitIndex0)) | v147(constB83))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30416,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB83, bitIndex0)) | v147(constB83) | (~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1)),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30415, 30414])).
% 74.09/46.96 tff(30417,plain,
% 74.09/46.96 (v147(constB83)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30416, 6248, 30366, 30374, 30410])).
% 74.09/46.96 tff(30418,plain,
% 74.09/46.96 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB83) | (~v147(constB83)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB83) | (~v147(constB83)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30419,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB83) | (~v147(constB83)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30420,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB83) | (~v147(constB83))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30419, 30418])).
% 74.09/46.96 tff(30421,plain,
% 74.09/46.96 (v145(constB83)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30420, 6262, 30417])).
% 74.09/46.96 tff(30422,plain,
% 74.09/46.96 (((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB83) | (~v145(constB83)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB83) | (~v145(constB83)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30423,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB83) | (~v145(constB83)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30424,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB83) | (~v145(constB83))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30423, 30422])).
% 74.09/46.96 tff(30425,plain,
% 74.09/46.96 (v197(constB83)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30424, 6273, 30421])).
% 74.09/46.96 tff(30426,plain,
% 74.09/46.96 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB83) | (~v197(constB83)) | v183(constB83))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB83) | (~v197(constB83)) | v183(constB83))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30427,plain,
% 74.09/46.96 (((~v197(constB83)) | v183(constB83) | v228(constB83)) <=> (v228(constB83) | (~v197(constB83)) | v183(constB83))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30428,plain,
% 74.09/46.96 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB83)) | v183(constB83) | v228(constB83))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB83) | (~v197(constB83)) | v183(constB83)))),
% 74.09/46.96 inference(monotonicity,[status(thm)],[30427])).
% 74.09/46.96 tff(30429,plain,
% 74.09/46.96 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB83)) | v183(constB83) | v228(constB83))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB83) | (~v197(constB83)) | v183(constB83))),
% 74.09/46.96 inference(transitivity,[status(thm)],[30428, 30426])).
% 74.09/46.96 tff(30430,plain,
% 74.09/46.96 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB83)) | v183(constB83) | v228(constB83))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30431,plain,
% 74.09/46.96 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB83) | (~v197(constB83)) | v183(constB83)),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30430, 30429])).
% 74.09/46.96 tff(30432,plain,
% 74.09/46.96 (v228(constB83)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30431, 6287, 30425, 30406])).
% 74.09/46.96 tff(30433,plain,
% 74.09/46.96 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB83)) | (~v223(constB83, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB83)) | (~v223(constB83, bitIndex1)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30434,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB83)) | (~v223(constB83, bitIndex1)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30435,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB83)) | (~v223(constB83, bitIndex1))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30434, 30433])).
% 74.09/46.96 tff(30436,plain,
% 74.09/46.96 (~v223(constB83, bitIndex1)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30435, 6301, 30432])).
% 74.09/46.96 tff(30437,plain,
% 74.09/46.96 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB83)) | v223(constB83, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB83)) | v223(constB83, bitIndex1))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30438,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB83)) | v223(constB83, bitIndex1))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30439,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB83)) | v223(constB83, bitIndex1)),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30438, 30437])).
% 74.09/46.96 tff(30440,plain,
% 74.09/46.96 (~v222(constB83)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30439, 6315, 30436])).
% 74.09/46.96 tff(30441,plain,
% 74.09/46.96 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB83) | v200(constB83) | (~v166(constB83)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB83) | v200(constB83) | (~v166(constB83)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30442,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB83) | v200(constB83) | (~v166(constB83)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30443,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB83) | v200(constB83) | (~v166(constB83))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30442, 30441])).
% 74.09/46.96 tff(30444,plain,
% 74.09/46.96 (~v166(constB83)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30443, 6329, 30386, 30382])).
% 74.09/46.96 tff(30445,plain,
% 74.09/46.96 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB83) | (~v197(constB83)) | v166(constB83))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB83) | (~v197(constB83)) | v166(constB83))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30446,plain,
% 74.09/46.96 (((~v197(constB83)) | v166(constB83) | v241(constB83)) <=> (v241(constB83) | (~v197(constB83)) | v166(constB83))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30447,plain,
% 74.09/46.96 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB83)) | v166(constB83) | v241(constB83))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB83) | (~v197(constB83)) | v166(constB83)))),
% 74.09/46.96 inference(monotonicity,[status(thm)],[30446])).
% 74.09/46.96 tff(30448,plain,
% 74.09/46.96 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB83)) | v166(constB83) | v241(constB83))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB83) | (~v197(constB83)) | v166(constB83))),
% 74.09/46.96 inference(transitivity,[status(thm)],[30447, 30445])).
% 74.09/46.96 tff(30449,plain,
% 74.09/46.96 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB83)) | v166(constB83) | v241(constB83))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30450,plain,
% 74.09/46.96 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB83) | (~v197(constB83)) | v166(constB83)),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30449, 30448])).
% 74.09/46.96 tff(30451,plain,
% 74.09/46.96 (v241(constB83)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30450, 6343, 30425, 30444])).
% 74.09/46.96 tff(30452,plain,
% 74.09/46.96 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB83)) | (~v223(constB83, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB83)) | (~v223(constB83, bitIndex2)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30453,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB83)) | (~v223(constB83, bitIndex2)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30454,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB83)) | (~v223(constB83, bitIndex2))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30453, 30452])).
% 74.09/46.96 tff(30455,plain,
% 74.09/46.96 (~v223(constB83, bitIndex2)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30454, 6357, 30451])).
% 74.09/46.96 tff(30456,plain,
% 74.09/46.96 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB83)) | v223(constB83, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB83)) | v223(constB83, bitIndex2))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30457,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB83)) | v223(constB83, bitIndex2))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30458,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB83)) | v223(constB83, bitIndex2)),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30457, 30456])).
% 74.09/46.96 tff(30459,plain,
% 74.09/46.96 (~v224(constB83)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30458, 6371, 30455])).
% 74.09/46.96 tff(30460,plain,
% 74.09/46.96 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB83) | v224(constB83) | (~v236(constB83)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB83) | v224(constB83) | (~v236(constB83)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30461,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB83) | v224(constB83) | (~v236(constB83)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30462,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB83) | v224(constB83) | (~v236(constB83))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30461, 30460])).
% 74.09/46.96 tff(30463,plain,
% 74.09/46.96 (~v236(constB83)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30462, 6385, 30459, 30440])).
% 74.09/46.96 tff(30464,plain,
% 74.09/46.96 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB83) | (~v232(constB83)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB83) | (~v232(constB83)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30465,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB83) | (~v232(constB83)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30466,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB83) | (~v232(constB83))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30465, 30464])).
% 74.09/46.96 tff(30467,plain,
% 74.09/46.96 (~v232(constB83)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30466, 6396, 30463])).
% 74.09/46.96 tff(30468,assumption,(~v252(constB83)), introduced(assumption)).
% 74.09/46.96 tff(30469,assumption,(~v90(constB82, bitIndex0)), introduced(assumption)).
% 74.09/46.96 tff(30470,plain,
% 74.09/46.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex0)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30471,plain,
% 74.09/46.96 (((~nextState(constB82, constB83)) | v90(constB82, bitIndex0) | v100(constB83) | (~v90(constB83, bitIndex0))) <=> (v90(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex0)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30472,plain,
% 74.09/46.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex0) | v100(constB83) | (~v90(constB83, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex0))))),
% 74.09/46.96 inference(monotonicity,[status(thm)],[30471])).
% 74.09/46.96 tff(30473,plain,
% 74.09/46.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex0) | v100(constB83) | (~v90(constB83, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex0)))),
% 74.09/46.96 inference(transitivity,[status(thm)],[30472, 30470])).
% 74.09/46.96 tff(30474,plain,
% 74.09/46.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB82, constB83)) | v90(constB82, bitIndex0) | v100(constB83) | (~v90(constB83, bitIndex0)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30475,plain,
% 74.09/46.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex0))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30474, 30473])).
% 74.09/46.96 tff(30476,plain,
% 74.09/46.96 (v90(constB82, bitIndex0) | v100(constB83) | (~v90(constB83, bitIndex0))),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30475, 130, 13384])).
% 74.09/46.96 tff(30477,plain,
% 74.09/46.96 (v90(constB82, bitIndex0) | (~v90(constB83, bitIndex0))),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30476, 13396])).
% 74.09/46.96 tff(30478,plain,
% 74.09/46.96 (~v90(constB83, bitIndex0)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30477, 30469])).
% 74.09/46.96 tff(30479,plain,
% 74.09/46.96 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0))) <=> (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0))))),
% 74.09/46.96 inference(bind,[status(th)],[])).
% 74.09/46.96 tff(30480,plain,
% 74.09/46.96 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 74.09/46.96 inference(quant_intro,[status(thm)],[30479])).
% 74.09/46.96 tff(30481,plain,
% 74.09/46.96 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30482,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_2')).
% 74.09/46.96 tff(30483,plain,
% 74.09/46.96 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30482, 30481])).
% 74.09/46.96 tff(30484,plain,(
% 74.09/46.96 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 74.09/46.96 inference(skolemize,[status(sab)],[30483])).
% 74.09/46.96 tff(30485,plain,
% 74.09/46.96 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30484, 30480])).
% 74.09/46.96 tff(30486,plain,
% 74.09/46.96 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB83, bitIndex0) | (~v88(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB83, bitIndex0) | (~v88(constB83, bitIndex0)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30487,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB83, bitIndex0) | (~v88(constB83, bitIndex0)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30488,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB83, bitIndex0) | (~v88(constB83, bitIndex0))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30487, 30486])).
% 74.09/46.96 tff(30489,plain,
% 74.09/46.96 (~v88(constB83, bitIndex0)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30488, 30485, 30478])).
% 74.09/46.96 tff(30490,plain,
% 74.09/46.96 (^[VarCurr: $i] : refl((v88(VarCurr, bitIndex0) | (~v140(VarCurr))) <=> (v88(VarCurr, bitIndex0) | (~v140(VarCurr))))),
% 74.09/46.96 inference(bind,[status(th)],[])).
% 74.09/46.96 tff(30491,plain,
% 74.09/46.96 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr))) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))),
% 74.09/46.96 inference(quant_intro,[status(thm)],[30490])).
% 74.09/46.96 tff(30492,plain,
% 74.09/46.96 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr))) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30493,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_2')).
% 74.09/46.96 tff(30494,plain,
% 74.09/46.96 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30493, 30492])).
% 74.09/46.96 tff(30495,plain,(
% 74.09/46.96 ![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))),
% 74.09/46.96 inference(skolemize,[status(sab)],[30494])).
% 74.09/46.96 tff(30496,plain,
% 74.09/46.96 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30495, 30491])).
% 74.09/46.96 tff(30497,plain,
% 74.09/46.96 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (v88(constB83, bitIndex0) | (~v140(constB83)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | v88(constB83, bitIndex0) | (~v140(constB83)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30498,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (v88(constB83, bitIndex0) | (~v140(constB83)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30499,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | v88(constB83, bitIndex0) | (~v140(constB83))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30498, 30497])).
% 74.09/46.96 tff(30500,plain,
% 74.09/46.96 (~v140(constB83)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30499, 30496, 30489])).
% 74.09/46.96 tff(30501,assumption,(v148(constB83)), introduced(assumption)).
% 74.09/46.96 tff(30502,assumption,(~v140(constB83)), introduced(assumption)).
% 74.09/46.96 tff(30503,plain,
% 74.09/46.96 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB83) | v139(constB83) | (~v148(constB83)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB83) | v139(constB83) | (~v148(constB83)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30504,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB83) | v139(constB83) | (~v148(constB83)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30505,plain,
% 74.09/46.96 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB83) | v139(constB83) | (~v148(constB83))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30504, 30503])).
% 74.09/46.96 tff(30506,plain,
% 74.09/46.96 (v139(constB83) | (~v148(constB83))),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30505, 6410, 30502])).
% 74.09/46.96 tff(30507,plain,
% 74.09/46.96 (v139(constB83)),
% 74.09/46.96 inference(unit_resolution,[status(thm)],[30506, 30501])).
% 74.09/46.96 tff(30508,plain,
% 74.09/46.96 (^[VarCurr: $i] : refl(((~v139(VarCurr)) | (~v148(VarCurr))) <=> ((~v139(VarCurr)) | (~v148(VarCurr))))),
% 74.09/46.96 inference(bind,[status(th)],[])).
% 74.09/46.96 tff(30509,plain,
% 74.09/46.96 (![VarCurr: $i] : ((~v139(VarCurr)) | (~v148(VarCurr))) <=> ![VarCurr: $i] : ((~v139(VarCurr)) | (~v148(VarCurr)))),
% 74.09/46.96 inference(quant_intro,[status(thm)],[30508])).
% 74.09/46.96 tff(30510,plain,
% 74.09/46.96 (![VarCurr: $i] : ((~v139(VarCurr)) | (~v148(VarCurr))) <=> ![VarCurr: $i] : ((~v139(VarCurr)) | (~v148(VarCurr)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30511,plain,
% 74.09/46.96 (^[VarCurr: $i] : rewrite(((~v148(VarCurr)) | (~v139(VarCurr))) <=> ((~v139(VarCurr)) | (~v148(VarCurr))))),
% 74.09/46.96 inference(bind,[status(th)],[])).
% 74.09/46.96 tff(30512,plain,
% 74.09/46.96 (![VarCurr: $i] : ((~v148(VarCurr)) | (~v139(VarCurr))) <=> ![VarCurr: $i] : ((~v139(VarCurr)) | (~v148(VarCurr)))),
% 74.09/46.96 inference(quant_intro,[status(thm)],[30511])).
% 74.09/46.96 tff(30513,axiom,(![VarCurr: $i] : ((~v148(VarCurr)) | (~v139(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_2_1_1')).
% 74.09/46.96 tff(30514,plain,
% 74.09/46.96 (![VarCurr: $i] : ((~v139(VarCurr)) | (~v148(VarCurr)))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30513, 30512])).
% 74.09/46.96 tff(30515,plain,
% 74.09/46.96 (![VarCurr: $i] : ((~v139(VarCurr)) | (~v148(VarCurr)))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30514, 30510])).
% 74.09/46.96 tff(30516,plain,(
% 74.09/46.96 ![VarCurr: $i] : ((~v139(VarCurr)) | (~v148(VarCurr)))),
% 74.09/46.96 inference(skolemize,[status(sab)],[30515])).
% 74.09/46.96 tff(30517,plain,
% 74.09/46.96 (![VarCurr: $i] : ((~v139(VarCurr)) | (~v148(VarCurr)))),
% 74.09/46.96 inference(modus_ponens,[status(thm)],[30516, 30509])).
% 74.09/46.96 tff(30518,plain,
% 74.09/46.96 (((~![VarCurr: $i] : ((~v139(VarCurr)) | (~v148(VarCurr)))) | ((~v139(constB83)) | (~v148(constB83)))) <=> ((~![VarCurr: $i] : ((~v139(VarCurr)) | (~v148(VarCurr)))) | (~v139(constB83)) | (~v148(constB83)))),
% 74.09/46.96 inference(rewrite,[status(thm)],[])).
% 74.09/46.96 tff(30519,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v139(VarCurr)) | (~v148(VarCurr)))) | ((~v139(constB83)) | (~v148(constB83)))),
% 74.09/46.96 inference(quant_inst,[status(thm)],[])).
% 74.09/46.96 tff(30520,plain,
% 74.09/46.96 ((~![VarCurr: $i] : ((~v139(VarCurr)) | (~v148(VarCurr)))) | (~v139(constB83)) | (~v148(constB83))),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30519, 30518])).
% 74.09/46.97 tff(30521,plain,
% 74.09/46.97 ($false),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30520, 30517, 30501, 30507])).
% 74.09/46.97 tff(30522,plain,((~v148(constB83)) | v140(constB83)), inference(lemma,lemma(discharge,[]))).
% 74.09/46.97 tff(30523,plain,
% 74.09/46.97 (~v148(constB83)),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30522, 30500])).
% 74.09/46.97 tff(30524,plain,
% 74.09/46.97 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB83) | v148(constB83) | (~v197(constB83)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB83) | v148(constB83) | (~v197(constB83)))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30525,plain,
% 74.09/46.97 ((v148(constB83) | (~v197(constB83)) | v252(constB83)) <=> (v252(constB83) | v148(constB83) | (~v197(constB83)))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30526,plain,
% 74.09/46.97 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB83) | (~v197(constB83)) | v252(constB83))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB83) | v148(constB83) | (~v197(constB83))))),
% 74.09/46.97 inference(monotonicity,[status(thm)],[30525])).
% 74.09/46.97 tff(30527,plain,
% 74.09/46.97 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB83) | (~v197(constB83)) | v252(constB83))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB83) | v148(constB83) | (~v197(constB83)))),
% 74.09/46.97 inference(transitivity,[status(thm)],[30526, 30524])).
% 74.09/46.97 tff(30528,plain,
% 74.09/46.97 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB83) | (~v197(constB83)) | v252(constB83))),
% 74.09/46.97 inference(quant_inst,[status(thm)],[])).
% 74.09/46.97 tff(30529,plain,
% 74.09/46.97 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB83) | v148(constB83) | (~v197(constB83))),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30528, 30527])).
% 74.09/46.97 tff(30530,plain,
% 74.09/46.97 (v148(constB83) | (~v197(constB83))),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30529, 6427, 30468])).
% 74.09/46.97 tff(30531,plain,
% 74.09/46.97 (~v197(constB83)),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30530, 30523])).
% 74.09/46.97 tff(30532,plain,
% 74.09/46.97 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext)))),
% 74.09/46.97 inference(bind,[status(th)],[])).
% 74.09/46.97 tff(30533,plain,
% 74.09/46.97 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext))),
% 74.09/46.97 inference(quant_intro,[status(thm)],[30532])).
% 74.09/46.97 tff(30534,plain,
% 74.09/46.97 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30535,plain,
% 74.09/46.97 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v252(VarCurr)) | v252(VarNext)) <=> ((~v252(VarCurr)) | v252(VarNext))), ((((~v252(VarCurr)) | v252(VarNext)) | v197(VarNext)) <=> (((~v252(VarCurr)) | v252(VarNext)) | v197(VarNext)))), rewrite((((~v252(VarCurr)) | v252(VarNext)) | v197(VarNext)) <=> ((~v252(VarCurr)) | v197(VarNext) | v252(VarNext))), ((((~v252(VarCurr)) | v252(VarNext)) | v197(VarNext)) <=> ((~v252(VarCurr)) | v197(VarNext) | v252(VarNext)))), (((((~v252(VarCurr)) | v252(VarNext)) | v197(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (((~v252(VarCurr)) | v197(VarNext) | v252(VarNext)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v252(VarCurr)) | v197(VarNext) | v252(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext))), (((((~v252(VarCurr)) | v252(VarNext)) | v197(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext))))),
% 74.09/46.97 inference(bind,[status(th)],[])).
% 74.09/46.97 tff(30536,plain,
% 74.09/46.97 (![VarNext: $i, VarCurr: $i] : ((((~v252(VarCurr)) | v252(VarNext)) | v197(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext))),
% 74.09/46.97 inference(quant_intro,[status(thm)],[30535])).
% 74.09/46.97 tff(30537,axiom,(![VarNext: $i, VarCurr: $i] : ((((~v252(VarCurr)) | v252(VarNext)) | v197(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','aaddConditionBooleanCondEqualRangesElseBranch_4_1_1_2')).
% 74.09/46.97 tff(30538,plain,
% 74.09/46.97 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext))),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30537, 30536])).
% 74.09/46.97 tff(30539,plain,
% 74.09/46.97 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext))),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30538, 30534])).
% 74.09/46.97 tff(30540,plain,(
% 74.09/46.97 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext))),
% 74.09/46.97 inference(skolemize,[status(sab)],[30539])).
% 74.09/46.97 tff(30541,plain,
% 74.09/46.97 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext))),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30540, 30533])).
% 74.09/46.97 tff(30542,plain,
% 74.09/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext))) | ((~v252(constB82)) | (~nextState(constB82, constB83)) | v197(constB83) | v252(constB83))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext))) | (~v252(constB82)) | (~nextState(constB82, constB83)) | v197(constB83) | v252(constB83))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30543,plain,
% 74.09/46.97 (((~nextState(constB82, constB83)) | (~v252(constB82)) | v197(constB83) | v252(constB83)) <=> ((~v252(constB82)) | (~nextState(constB82, constB83)) | v197(constB83) | v252(constB83))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30544,plain,
% 74.09/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext))) | ((~nextState(constB82, constB83)) | (~v252(constB82)) | v197(constB83) | v252(constB83))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext))) | ((~v252(constB82)) | (~nextState(constB82, constB83)) | v197(constB83) | v252(constB83)))),
% 74.09/46.97 inference(monotonicity,[status(thm)],[30543])).
% 74.09/46.97 tff(30545,plain,
% 74.09/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext))) | ((~nextState(constB82, constB83)) | (~v252(constB82)) | v197(constB83) | v252(constB83))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext))) | (~v252(constB82)) | (~nextState(constB82, constB83)) | v197(constB83) | v252(constB83))),
% 74.09/46.97 inference(transitivity,[status(thm)],[30544, 30542])).
% 74.09/46.97 tff(30546,plain,
% 74.09/46.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext))) | ((~nextState(constB82, constB83)) | (~v252(constB82)) | v197(constB83) | v252(constB83))),
% 74.09/46.97 inference(quant_inst,[status(thm)],[])).
% 74.09/46.97 tff(30547,plain,
% 74.09/46.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext))) | (~v252(constB82)) | (~nextState(constB82, constB83)) | v197(constB83) | v252(constB83)),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30546, 30545])).
% 74.09/46.97 tff(30548,plain,
% 74.09/46.97 ((~v252(constB82)) | v197(constB83) | v252(constB83)),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30547, 30541, 13384])).
% 74.09/46.97 tff(30549,plain,
% 74.09/46.97 (~v252(constB82)),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30548, 30531, 30468])).
% 74.09/46.97 tff(30550,plain,
% 74.09/46.97 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB81, bitIndex2)) | v88(constB81, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB81, bitIndex2)) | v88(constB81, bitIndex2))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30551,plain,
% 74.09/46.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB81, bitIndex2)) | v88(constB81, bitIndex2))),
% 74.09/46.97 inference(quant_inst,[status(thm)],[])).
% 74.09/46.97 tff(30552,plain,
% 74.09/46.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB81, bitIndex2)) | v88(constB81, bitIndex2)),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30551, 30550])).
% 74.09/46.97 tff(30553,plain,
% 74.09/46.97 (v88(constB81, bitIndex2)),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30552, 6015, 13223])).
% 74.09/46.97 tff(30554,plain,
% 74.09/46.97 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr))) <=> ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr))))),
% 74.09/46.97 inference(bind,[status(th)],[])).
% 74.09/46.97 tff(30555,plain,
% 74.09/46.97 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))),
% 74.09/46.97 inference(quant_intro,[status(thm)],[30554])).
% 74.09/46.97 tff(30556,plain,
% 74.09/46.97 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30557,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_2')).
% 74.09/46.97 tff(30558,plain,
% 74.09/46.97 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30557, 30556])).
% 74.09/46.97 tff(30559,plain,(
% 74.09/46.97 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))),
% 74.09/46.97 inference(skolemize,[status(sab)],[30558])).
% 74.09/46.97 tff(30560,plain,
% 74.09/46.97 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30559, 30555])).
% 74.09/46.97 tff(30561,plain,
% 74.09/46.97 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v139(constB81)) | (~v88(constB81, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v139(constB81)) | (~v88(constB81, bitIndex2)))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30562,plain,
% 74.09/46.97 (((~v88(constB81, bitIndex2)) | (~v139(constB81))) <=> ((~v139(constB81)) | (~v88(constB81, bitIndex2)))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30563,plain,
% 74.09/46.97 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB81, bitIndex2)) | (~v139(constB81)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v139(constB81)) | (~v88(constB81, bitIndex2))))),
% 74.09/46.97 inference(monotonicity,[status(thm)],[30562])).
% 74.09/46.97 tff(30564,plain,
% 74.09/46.97 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB81, bitIndex2)) | (~v139(constB81)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v139(constB81)) | (~v88(constB81, bitIndex2)))),
% 74.09/46.97 inference(transitivity,[status(thm)],[30563, 30561])).
% 74.09/46.97 tff(30565,plain,
% 74.09/46.97 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | ((~v88(constB81, bitIndex2)) | (~v139(constB81)))),
% 74.09/46.97 inference(quant_inst,[status(thm)],[])).
% 74.09/46.97 tff(30566,plain,
% 74.09/46.97 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v139(VarCurr)))) | (~v139(constB81)) | (~v88(constB81, bitIndex2))),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30565, 30564])).
% 74.09/46.97 tff(30567,plain,
% 74.09/46.97 (~v139(constB81)),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30566, 30560, 30553])).
% 74.09/46.97 tff(30568,plain,
% 74.09/46.97 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v140(constB81)) | (~v88(constB81, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB81)) | (~v88(constB81, bitIndex2)))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30569,plain,
% 74.09/46.97 (((~v88(constB81, bitIndex2)) | (~v140(constB81))) <=> ((~v140(constB81)) | (~v88(constB81, bitIndex2)))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30570,plain,
% 74.09/46.97 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB81, bitIndex2)) | (~v140(constB81)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v140(constB81)) | (~v88(constB81, bitIndex2))))),
% 74.09/46.97 inference(monotonicity,[status(thm)],[30569])).
% 74.09/46.97 tff(30571,plain,
% 74.09/46.97 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB81, bitIndex2)) | (~v140(constB81)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB81)) | (~v88(constB81, bitIndex2)))),
% 74.09/46.97 inference(transitivity,[status(thm)],[30570, 30568])).
% 74.09/46.97 tff(30572,plain,
% 74.09/46.97 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB81, bitIndex2)) | (~v140(constB81)))),
% 74.09/46.97 inference(quant_inst,[status(thm)],[])).
% 74.09/46.97 tff(30573,plain,
% 74.09/46.97 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB81)) | (~v88(constB81, bitIndex2))),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30572, 30571])).
% 74.09/46.97 tff(30574,plain,
% 74.09/46.97 (~v140(constB81)),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30573, 6026, 30553])).
% 74.09/46.97 tff(30575,plain,
% 74.09/46.97 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB81)) | v140(constB81) | v139(constB81))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB81)) | v140(constB81) | v139(constB81))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30576,plain,
% 74.09/46.97 ((v140(constB81) | v139(constB81) | (~v148(constB81))) <=> ((~v148(constB81)) | v140(constB81) | v139(constB81))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30577,plain,
% 74.09/46.97 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB81) | v139(constB81) | (~v148(constB81)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB81)) | v140(constB81) | v139(constB81)))),
% 74.09/46.97 inference(monotonicity,[status(thm)],[30576])).
% 74.09/46.97 tff(30578,plain,
% 74.09/46.97 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB81) | v139(constB81) | (~v148(constB81)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB81)) | v140(constB81) | v139(constB81))),
% 74.09/46.97 inference(transitivity,[status(thm)],[30577, 30575])).
% 74.09/46.97 tff(30579,plain,
% 74.09/46.97 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB81) | v139(constB81) | (~v148(constB81)))),
% 74.09/46.97 inference(quant_inst,[status(thm)],[])).
% 74.09/46.97 tff(30580,plain,
% 74.09/46.97 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB81)) | v140(constB81) | v139(constB81)),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30579, 30578])).
% 74.09/46.97 tff(30581,plain,
% 74.09/46.97 (~v148(constB81)),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30580, 6410, 30574, 30567])).
% 74.09/46.97 tff(30582,plain,
% 74.09/46.97 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB81, bitIndex1) | (~v88(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB81, bitIndex1) | (~v88(constB81, bitIndex1)))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30583,plain,
% 74.09/46.97 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB81, bitIndex1) | (~v88(constB81, bitIndex1)))),
% 74.09/46.97 inference(quant_inst,[status(thm)],[])).
% 74.09/46.97 tff(30584,plain,
% 74.09/46.97 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB81, bitIndex1) | (~v88(constB81, bitIndex1))),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30583, 30582])).
% 74.09/46.97 tff(30585,plain,
% 74.09/46.97 (~v88(constB81, bitIndex1)),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30584, 6234, 13257])).
% 74.09/46.97 tff(30586,plain,
% 74.09/46.97 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB81, bitIndex0) | (~v88(constB81, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB81, bitIndex0) | (~v88(constB81, bitIndex0)))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30587,plain,
% 74.09/46.97 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB81, bitIndex0) | (~v88(constB81, bitIndex0)))),
% 74.09/46.97 inference(quant_inst,[status(thm)],[])).
% 74.09/46.97 tff(30588,plain,
% 74.09/46.97 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB81, bitIndex0) | (~v88(constB81, bitIndex0))),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30587, 30586])).
% 74.09/46.97 tff(30589,plain,
% 74.09/46.97 (~v88(constB81, bitIndex0)),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30588, 30485, 13291])).
% 74.09/46.97 tff(30590,plain,
% 74.09/46.97 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr)))),
% 74.09/46.97 inference(bind,[status(th)],[])).
% 74.09/46.97 tff(30591,plain,
% 74.09/46.97 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 74.09/46.97 inference(quant_intro,[status(thm)],[30590])).
% 74.09/46.97 tff(30592,plain,
% 74.09/46.97 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30593,plain,
% 74.09/46.97 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v146(VarCurr) | (~v88(VarCurr, bitIndex2))) | v88(VarCurr, bitIndex1)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v146(VarCurr))), ((((v146(VarCurr) | (~v88(VarCurr, bitIndex2))) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) <=> (((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v146(VarCurr)) | v88(VarCurr, bitIndex0)))), rewrite((((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v146(VarCurr)) | v88(VarCurr, bitIndex0)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))), ((((v146(VarCurr) | (~v88(VarCurr, bitIndex2))) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) <=> ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))))),
% 74.09/46.97 inference(bind,[status(th)],[])).
% 74.09/46.97 tff(30594,plain,
% 74.09/46.97 (![VarCurr: $i] : (((v146(VarCurr) | (~v88(VarCurr, bitIndex2))) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 74.09/46.97 inference(quant_intro,[status(thm)],[30593])).
% 74.09/46.97 tff(30595,axiom,(![VarCurr: $i] : (((v146(VarCurr) | (~v88(VarCurr, bitIndex2))) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_14_1_1_1')).
% 74.09/46.97 tff(30596,plain,
% 74.09/46.97 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30595, 30594])).
% 74.09/46.97 tff(30597,plain,
% 74.09/46.97 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30596, 30592])).
% 74.09/46.97 tff(30598,plain,(
% 74.09/46.97 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 74.09/46.97 inference(skolemize,[status(sab)],[30597])).
% 74.09/46.97 tff(30599,plain,
% 74.09/46.97 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30598, 30591])).
% 74.09/46.97 tff(30600,plain,
% 74.09/46.97 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB81, bitIndex2)) | v146(constB81) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (~v88(constB81, bitIndex2)) | v146(constB81) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30601,plain,
% 74.09/46.97 (((~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0) | v146(constB81)) <=> ((~v88(constB81, bitIndex2)) | v146(constB81) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30602,plain,
% 74.09/46.97 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0) | v146(constB81))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB81, bitIndex2)) | v146(constB81) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0)))),
% 74.09/46.97 inference(monotonicity,[status(thm)],[30601])).
% 74.09/46.97 tff(30603,plain,
% 74.09/46.97 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0) | v146(constB81))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (~v88(constB81, bitIndex2)) | v146(constB81) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0))),
% 74.09/46.97 inference(transitivity,[status(thm)],[30602, 30600])).
% 74.09/46.97 tff(30604,plain,
% 74.09/46.97 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | ((~v88(constB81, bitIndex2)) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0) | v146(constB81))),
% 74.09/46.97 inference(quant_inst,[status(thm)],[])).
% 74.09/46.97 tff(30605,plain,
% 74.09/46.97 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v146(VarCurr))) | (~v88(constB81, bitIndex2)) | v146(constB81) | v88(constB81, bitIndex1) | v88(constB81, bitIndex0)),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30604, 30603])).
% 74.09/46.97 tff(30606,plain,
% 74.09/46.97 (v146(constB81)),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30605, 30599, 30553, 30589, 30585])).
% 74.09/46.97 tff(30607,plain,
% 74.09/46.97 (^[VarCurr: $i] : refl((v145(VarCurr) | (~v146(VarCurr))) <=> (v145(VarCurr) | (~v146(VarCurr))))),
% 74.09/46.97 inference(bind,[status(th)],[])).
% 74.09/46.97 tff(30608,plain,
% 74.09/46.97 (![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr))) <=> ![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))),
% 74.09/46.97 inference(quant_intro,[status(thm)],[30607])).
% 74.09/46.97 tff(30609,plain,
% 74.09/46.97 (![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr))) <=> ![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30610,axiom,(![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_32_1_2')).
% 74.09/46.97 tff(30611,plain,
% 74.09/46.97 (![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30610, 30609])).
% 74.09/46.97 tff(30612,plain,(
% 74.09/46.97 ![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))),
% 74.09/46.97 inference(skolemize,[status(sab)],[30611])).
% 74.09/46.97 tff(30613,plain,
% 74.09/46.97 (![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30612, 30608])).
% 74.09/46.97 tff(30614,plain,
% 74.09/46.97 (((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB81) | (~v146(constB81)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB81) | (~v146(constB81)))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30615,plain,
% 74.09/46.97 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | (v145(constB81) | (~v146(constB81)))),
% 74.09/46.97 inference(quant_inst,[status(thm)],[])).
% 74.09/46.97 tff(30616,plain,
% 74.09/46.97 ((~![VarCurr: $i] : (v145(VarCurr) | (~v146(VarCurr)))) | v145(constB81) | (~v146(constB81))),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30615, 30614])).
% 74.09/46.97 tff(30617,plain,
% 74.09/46.97 (v145(constB81)),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30616, 30613, 30606])).
% 74.09/46.97 tff(30618,plain,
% 74.09/46.97 (((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB81) | (~v145(constB81)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB81) | (~v145(constB81)))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30619,plain,
% 74.09/46.97 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB81) | (~v145(constB81)))),
% 74.09/46.97 inference(quant_inst,[status(thm)],[])).
% 74.09/46.97 tff(30620,plain,
% 74.09/46.97 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB81) | (~v145(constB81))),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30619, 30618])).
% 74.09/46.97 tff(30621,plain,
% 74.09/46.97 (v197(constB81)),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30620, 6273, 30617])).
% 74.09/46.97 tff(30622,plain,
% 74.09/46.97 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB81) | v148(constB81) | (~v197(constB81)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB81) | v148(constB81) | (~v197(constB81)))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30623,plain,
% 74.09/46.97 ((v148(constB81) | (~v197(constB81)) | v252(constB81)) <=> (v252(constB81) | v148(constB81) | (~v197(constB81)))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30624,plain,
% 74.09/46.97 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB81) | (~v197(constB81)) | v252(constB81))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB81) | v148(constB81) | (~v197(constB81))))),
% 74.09/46.97 inference(monotonicity,[status(thm)],[30623])).
% 74.09/46.97 tff(30625,plain,
% 74.09/46.97 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB81) | (~v197(constB81)) | v252(constB81))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB81) | v148(constB81) | (~v197(constB81)))),
% 74.09/46.97 inference(transitivity,[status(thm)],[30624, 30622])).
% 74.09/46.97 tff(30626,plain,
% 74.09/46.97 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB81) | (~v197(constB81)) | v252(constB81))),
% 74.09/46.97 inference(quant_inst,[status(thm)],[])).
% 74.09/46.97 tff(30627,plain,
% 74.09/46.97 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB81) | v148(constB81) | (~v197(constB81))),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30626, 30625])).
% 74.09/46.97 tff(30628,plain,
% 74.09/46.97 (v252(constB81)),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30627, 6427, 30621, 30581])).
% 74.09/46.97 tff(30629,plain,
% 74.09/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext))) | ((~v252(constB81)) | (~nextState(constB81, constB82)) | v197(constB82) | v252(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext))) | (~v252(constB81)) | (~nextState(constB81, constB82)) | v197(constB82) | v252(constB82))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30630,plain,
% 74.09/46.97 (((~nextState(constB81, constB82)) | (~v252(constB81)) | v197(constB82) | v252(constB82)) <=> ((~v252(constB81)) | (~nextState(constB81, constB82)) | v197(constB82) | v252(constB82))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30631,plain,
% 74.09/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext))) | ((~nextState(constB81, constB82)) | (~v252(constB81)) | v197(constB82) | v252(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext))) | ((~v252(constB81)) | (~nextState(constB81, constB82)) | v197(constB82) | v252(constB82)))),
% 74.09/46.97 inference(monotonicity,[status(thm)],[30630])).
% 74.09/46.97 tff(30632,plain,
% 74.09/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext))) | ((~nextState(constB81, constB82)) | (~v252(constB81)) | v197(constB82) | v252(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext))) | (~v252(constB81)) | (~nextState(constB81, constB82)) | v197(constB82) | v252(constB82))),
% 74.09/46.97 inference(transitivity,[status(thm)],[30631, 30629])).
% 74.09/46.97 tff(30633,plain,
% 74.09/46.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext))) | ((~nextState(constB81, constB82)) | (~v252(constB81)) | v197(constB82) | v252(constB82))),
% 74.09/46.97 inference(quant_inst,[status(thm)],[])).
% 74.09/46.97 tff(30634,plain,
% 74.09/46.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v252(VarCurr)) | v197(VarNext) | v252(VarNext))) | (~v252(constB81)) | (~nextState(constB81, constB82)) | v197(constB82) | v252(constB82)),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30633, 30632])).
% 74.09/46.97 tff(30635,plain,
% 74.09/46.97 ((~v252(constB81)) | v197(constB82) | v252(constB82)),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30634, 30541, 13322])).
% 74.09/46.97 tff(30636,plain,
% 74.09/46.97 (v197(constB82) | v252(constB82)),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30635, 30628])).
% 74.09/46.97 tff(30637,plain,
% 74.09/46.97 (v197(constB82)),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30636, 30549])).
% 74.09/46.97 tff(30638,plain,
% 74.09/46.97 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB82) | v148(constB82) | (~v197(constB82)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB82) | v148(constB82) | (~v197(constB82)))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30639,plain,
% 74.09/46.97 ((v148(constB82) | (~v197(constB82)) | v252(constB82)) <=> (v252(constB82) | v148(constB82) | (~v197(constB82)))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30640,plain,
% 74.09/46.97 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB82) | (~v197(constB82)) | v252(constB82))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB82) | v148(constB82) | (~v197(constB82))))),
% 74.09/46.97 inference(monotonicity,[status(thm)],[30639])).
% 74.09/46.97 tff(30641,plain,
% 74.09/46.97 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB82) | (~v197(constB82)) | v252(constB82))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB82) | v148(constB82) | (~v197(constB82)))),
% 74.09/46.97 inference(transitivity,[status(thm)],[30640, 30638])).
% 74.09/46.97 tff(30642,plain,
% 74.09/46.97 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB82) | (~v197(constB82)) | v252(constB82))),
% 74.09/46.97 inference(quant_inst,[status(thm)],[])).
% 74.09/46.97 tff(30643,plain,
% 74.09/46.97 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB82) | v148(constB82) | (~v197(constB82))),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30642, 30641])).
% 74.09/46.97 tff(30644,plain,
% 74.09/46.97 (v148(constB82)),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30643, 6427, 30637, 30549])).
% 74.09/46.97 tff(30645,plain,
% 74.09/46.97 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v88(constB82, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB82, bitIndex0) | (~v88(constB82, bitIndex0)))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30646,plain,
% 74.09/46.97 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB82, bitIndex0) | (~v88(constB82, bitIndex0)))),
% 74.09/46.97 inference(quant_inst,[status(thm)],[])).
% 74.09/46.97 tff(30647,plain,
% 74.09/46.97 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB82, bitIndex0) | (~v88(constB82, bitIndex0))),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30646, 30645])).
% 74.09/46.97 tff(30648,plain,
% 74.09/46.97 (~v88(constB82, bitIndex0)),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30647, 30485, 30469])).
% 74.09/46.97 tff(30649,plain,
% 74.09/46.97 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (v88(constB82, bitIndex0) | (~v140(constB82)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | v88(constB82, bitIndex0) | (~v140(constB82)))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30650,plain,
% 74.09/46.97 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (v88(constB82, bitIndex0) | (~v140(constB82)))),
% 74.09/46.97 inference(quant_inst,[status(thm)],[])).
% 74.09/46.97 tff(30651,plain,
% 74.09/46.97 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | v88(constB82, bitIndex0) | (~v140(constB82))),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30650, 30649])).
% 74.09/46.97 tff(30652,plain,
% 74.09/46.97 (~v140(constB82)),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30651, 30496, 30648])).
% 74.09/46.97 tff(30653,plain,
% 74.09/46.97 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB82) | v139(constB82) | (~v148(constB82)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB82) | v139(constB82) | (~v148(constB82)))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30654,plain,
% 74.09/46.97 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB82) | v139(constB82) | (~v148(constB82)))),
% 74.09/46.97 inference(quant_inst,[status(thm)],[])).
% 74.09/46.97 tff(30655,plain,
% 74.09/46.97 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB82) | v139(constB82) | (~v148(constB82))),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30654, 30653])).
% 74.09/46.97 tff(30656,plain,
% 74.09/46.97 (v139(constB82) | (~v148(constB82))),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30655, 6410, 30652])).
% 74.09/46.97 tff(30657,plain,
% 74.09/46.97 (v139(constB82)),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30656, 30644])).
% 74.09/46.97 tff(30658,plain,
% 74.09/46.97 (((~![VarCurr: $i] : ((~v139(VarCurr)) | (~v148(VarCurr)))) | ((~v139(constB82)) | (~v148(constB82)))) <=> ((~![VarCurr: $i] : ((~v139(VarCurr)) | (~v148(VarCurr)))) | (~v139(constB82)) | (~v148(constB82)))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30659,plain,
% 74.09/46.97 ((~![VarCurr: $i] : ((~v139(VarCurr)) | (~v148(VarCurr)))) | ((~v139(constB82)) | (~v148(constB82)))),
% 74.09/46.97 inference(quant_inst,[status(thm)],[])).
% 74.09/46.97 tff(30660,plain,
% 74.09/46.97 ((~![VarCurr: $i] : ((~v139(VarCurr)) | (~v148(VarCurr)))) | (~v139(constB82)) | (~v148(constB82))),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30659, 30658])).
% 74.09/46.97 tff(30661,plain,
% 74.09/46.97 ($false),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30660, 30517, 30657, 30644])).
% 74.09/46.97 tff(30662,plain,(v90(constB82, bitIndex0) | v252(constB83)), inference(lemma,lemma(discharge,[]))).
% 74.09/46.97 tff(30663,plain,
% 74.09/46.97 (v90(constB82, bitIndex0)),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30662, 30468])).
% 74.09/46.97 tff(30664,plain,
% 74.09/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB81, bitIndex0) | (~nextState(constB81, constB82)) | v100(constB82) | (~v90(constB82, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB81, bitIndex0) | (~nextState(constB81, constB82)) | v100(constB82) | (~v90(constB82, bitIndex0)))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30665,plain,
% 74.09/46.97 (((~nextState(constB81, constB82)) | v90(constB81, bitIndex0) | v100(constB82) | (~v90(constB82, bitIndex0))) <=> (v90(constB81, bitIndex0) | (~nextState(constB81, constB82)) | v100(constB82) | (~v90(constB82, bitIndex0)))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30666,plain,
% 74.09/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB81, constB82)) | v90(constB81, bitIndex0) | v100(constB82) | (~v90(constB82, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB81, bitIndex0) | (~nextState(constB81, constB82)) | v100(constB82) | (~v90(constB82, bitIndex0))))),
% 74.09/46.97 inference(monotonicity,[status(thm)],[30665])).
% 74.09/46.97 tff(30667,plain,
% 74.09/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB81, constB82)) | v90(constB81, bitIndex0) | v100(constB82) | (~v90(constB82, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB81, bitIndex0) | (~nextState(constB81, constB82)) | v100(constB82) | (~v90(constB82, bitIndex0)))),
% 74.09/46.97 inference(transitivity,[status(thm)],[30666, 30664])).
% 74.09/46.97 tff(30668,plain,
% 74.09/46.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB81, constB82)) | v90(constB81, bitIndex0) | v100(constB82) | (~v90(constB82, bitIndex0)))),
% 74.09/46.97 inference(quant_inst,[status(thm)],[])).
% 74.09/46.97 tff(30669,plain,
% 74.09/46.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB81, bitIndex0) | (~nextState(constB81, constB82)) | v100(constB82) | (~v90(constB82, bitIndex0))),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30668, 30667])).
% 74.09/46.97 tff(30670,plain,
% 74.09/46.97 (v90(constB81, bitIndex0) | v100(constB82) | (~v90(constB82, bitIndex0))),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30669, 130, 13322])).
% 74.09/46.97 tff(30671,plain,
% 74.09/46.97 (v100(constB82) | (~v90(constB82, bitIndex0))),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30670, 13291])).
% 74.09/46.97 tff(30672,plain,
% 74.09/46.97 (v100(constB82)),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30671, 30663])).
% 74.09/46.97 tff(30673,plain,
% 74.09/46.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0) | (~v100(constB82)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0) | (~v100(constB82)))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30674,plain,
% 74.09/46.97 (((~v90(constB82, bitIndex0)) | (~v100(constB82)) | v129(constB82, bitIndex0)) <=> ((~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0) | (~v100(constB82)))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30675,plain,
% 74.09/46.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | (~v100(constB82)) | v129(constB82, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0) | (~v100(constB82))))),
% 74.09/46.97 inference(monotonicity,[status(thm)],[30674])).
% 74.09/46.97 tff(30676,plain,
% 74.09/46.97 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | (~v100(constB82)) | v129(constB82, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0) | (~v100(constB82)))),
% 74.09/46.97 inference(transitivity,[status(thm)],[30675, 30673])).
% 74.09/46.97 tff(30677,plain,
% 74.09/46.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | (~v100(constB82)) | v129(constB82, bitIndex0))),
% 74.09/46.97 inference(quant_inst,[status(thm)],[])).
% 74.09/46.97 tff(30678,plain,
% 74.09/46.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0) | (~v100(constB82))),
% 74.09/46.97 inference(modus_ponens,[status(thm)],[30677, 30676])).
% 74.09/46.97 tff(30679,plain,
% 74.09/46.97 (v129(constB82, bitIndex0)),
% 74.09/46.97 inference(unit_resolution,[status(thm)],[30678, 938, 30672, 30663])).
% 74.09/46.97 tff(30680,plain,
% 74.09/46.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB81, constB82)) | v127(constB81, bitIndex0) | (~v129(constB82, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB81, constB82)) | v127(constB81, bitIndex0) | (~v129(constB82, bitIndex0)))),
% 74.09/46.97 inference(rewrite,[status(thm)],[])).
% 74.09/46.97 tff(30681,plain,
% 74.09/46.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB81, constB82)) | v127(constB81, bitIndex0) | (~v129(constB82, bitIndex0)))),
% 74.09/46.97 inference(quant_inst,[status(thm)],[])).
% 74.09/46.97 tff(30682,plain,
% 74.09/46.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB81, constB82)) | v127(constB81, bitIndex0) | (~v129(constB82, bitIndex0))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30681, 30680])).
% 74.09/46.98 tff(30683,plain,
% 74.09/46.98 (v127(constB81, bitIndex0) | (~v129(constB82, bitIndex0))),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30682, 923, 13322])).
% 74.09/46.98 tff(30684,plain,
% 74.09/46.98 (v127(constB81, bitIndex0)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30683, 30679])).
% 74.09/46.98 tff(30685,plain,
% 74.09/46.98 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB81)) | (~v127(constB81, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB81)) | (~v127(constB81, bitIndex0)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30686,plain,
% 74.09/46.98 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB81)) | (~v127(constB81, bitIndex0)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30687,plain,
% 74.09/46.98 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB81)) | (~v127(constB81, bitIndex0))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30686, 30685])).
% 74.09/46.98 tff(30688,plain,
% 74.09/46.98 (~v26(constB81)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30687, 3417, 30684])).
% 74.09/46.98 tff(30689,plain,
% 74.09/46.98 (~v127(constB81, bitIndex1)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[13416, 30688])).
% 74.09/46.98 tff(30690,plain,
% 74.09/46.98 (~v129(constB82, bitIndex1)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[13421, 30689])).
% 74.09/46.98 tff(30691,plain,
% 74.09/46.98 ((~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[13428, 603, 30672])).
% 74.09/46.98 tff(30692,plain,
% 74.09/46.98 (~v90(constB82, bitIndex1)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30691, 30690])).
% 74.09/46.98 tff(30693,plain,
% 74.09/46.98 (~v90(constB83, bitIndex1)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[13438, 30692])).
% 74.09/46.98 tff(30694,plain,
% 74.09/46.98 (~v88(constB83, bitIndex1)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30409, 6234, 30693])).
% 74.09/46.98 tff(30695,plain,
% 74.09/46.98 (v127(constB81, bitIndex2)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[13364, 30688])).
% 74.09/46.98 tff(30696,plain,
% 74.09/46.98 (v129(constB82, bitIndex2)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[13369, 30695])).
% 74.09/46.98 tff(30697,plain,
% 74.09/46.98 (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2))),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[13376, 1334, 30672])).
% 74.09/46.98 tff(30698,plain,
% 74.09/46.98 (v90(constB82, bitIndex2)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30697, 30696])).
% 74.09/46.98 tff(30699,plain,
% 74.09/46.98 (v90(constB83, bitIndex2)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[13404, 30698])).
% 74.09/46.98 tff(30700,plain,
% 74.09/46.98 (v88(constB83, bitIndex2)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30373, 6015, 30699])).
% 74.09/46.98 tff(30701,plain,
% 74.09/46.98 (v90(constB83, bitIndex0)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[13469, 30663])).
% 74.09/46.98 tff(30702,plain,
% 74.09/46.98 (v88(constB83, bitIndex0)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30365, 6074, 30701])).
% 74.09/46.98 tff(30703,plain,
% 74.09/46.98 (v147(constB83) | (~v88(constB83, bitIndex2)) | v88(constB83, bitIndex1)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30416, 6248, 30702])).
% 74.09/46.98 tff(30704,plain,
% 74.09/46.98 (v147(constB83)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30703, 30700, 30694])).
% 74.09/46.98 tff(30705,plain,
% 74.09/46.98 (v145(constB83)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30420, 6262, 30704])).
% 74.09/46.98 tff(30706,plain,
% 74.09/46.98 (~v140(constB83)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30377, 6026, 30700])).
% 74.09/46.98 tff(30707,plain,
% 74.09/46.98 (~v148(constB83)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30522, 30706])).
% 74.09/46.98 tff(30708,plain,
% 74.09/46.98 (~v197(constB83)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30530, 30707])).
% 74.09/46.98 tff(30709,plain,
% 74.09/46.98 ($false),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30424, 6273, 30708, 30705])).
% 74.09/46.98 tff(30710,plain,(v252(constB83)), inference(lemma,lemma(discharge,[]))).
% 74.09/46.98 tff(30711,plain,
% 74.09/46.98 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB83)) | (~v223(constB83, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB83)) | (~v223(constB83, bitIndex3)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30712,plain,
% 74.09/46.98 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB83)) | (~v223(constB83, bitIndex3)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30713,plain,
% 74.09/46.98 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB83)) | (~v223(constB83, bitIndex3))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30712, 30711])).
% 74.09/46.98 tff(30714,plain,
% 74.09/46.98 (~v223(constB83, bitIndex3)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30713, 6441, 30710])).
% 74.09/46.98 tff(30715,plain,
% 74.09/46.98 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB83)) | v223(constB83, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB83)) | v223(constB83, bitIndex3))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30716,plain,
% 74.09/46.98 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB83)) | v223(constB83, bitIndex3))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30717,plain,
% 74.09/46.98 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB83)) | v223(constB83, bitIndex3)),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30716, 30715])).
% 74.09/46.98 tff(30718,plain,
% 74.09/46.98 (~v237(constB83)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30717, 6455, 30714])).
% 74.09/46.98 tff(30719,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB83) | v232(constB83) | (~v248(constB83)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB83) | v232(constB83) | (~v248(constB83)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30720,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB83) | v232(constB83) | (~v248(constB83)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30721,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB83) | v232(constB83) | (~v248(constB83))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30720, 30719])).
% 74.09/46.98 tff(30722,plain,
% 74.09/46.98 (v232(constB83) | (~v248(constB83))),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30721, 6469, 30718])).
% 74.09/46.98 tff(30723,plain,
% 74.09/46.98 (~v248(constB83)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30722, 30467])).
% 74.09/46.98 tff(30724,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB83) | (~v244(constB83)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB83) | (~v244(constB83)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30725,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB83) | (~v244(constB83)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30726,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB83) | (~v244(constB83))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30725, 30724])).
% 74.09/46.98 tff(30727,plain,
% 74.09/46.98 (~v244(constB83)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30726, 6484, 30723])).
% 74.09/46.98 tff(30728,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB83) | (~v216(constB83, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB83) | (~v216(constB83, bitIndex1)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30729,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB83) | (~v216(constB83, bitIndex1)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30730,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB83) | (~v216(constB83, bitIndex1))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30729, 30728])).
% 74.09/46.98 tff(30731,plain,
% 74.09/46.98 (~v216(constB83, bitIndex1)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30730, 6495, 30727])).
% 74.09/46.98 tff(30732,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB83, bitIndex1) | (~v254(constB83)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB83, bitIndex1) | (~v254(constB83)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30733,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB83, bitIndex1) | (~v254(constB83)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30734,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB83, bitIndex1) | (~v254(constB83))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30733, 30732])).
% 74.09/46.98 tff(30735,plain,
% 74.09/46.98 (~v254(constB83)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30734, 6506, 30731])).
% 74.09/46.98 tff(30736,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB83) | (~v221(constB83)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB83) | (~v221(constB83)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30737,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB83) | (~v221(constB83)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30738,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB83) | (~v221(constB83))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30737, 30736])).
% 74.09/46.98 tff(30739,plain,
% 74.09/46.98 (~v221(constB83)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30738, 6517, 30459])).
% 74.09/46.98 tff(30740,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB83) | (~v231(constB83)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB83) | (~v231(constB83)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30741,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB83) | (~v231(constB83)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30742,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB83) | (~v231(constB83))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30741, 30740])).
% 74.09/46.98 tff(30743,plain,
% 74.09/46.98 (~v231(constB83)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30742, 6528, 30718])).
% 74.09/46.98 tff(30744,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB83) | v231(constB83) | (~v243(constB83)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB83) | v231(constB83) | (~v243(constB83)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30745,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB83) | v231(constB83) | (~v243(constB83)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30746,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB83) | v231(constB83) | (~v243(constB83))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30745, 30744])).
% 74.09/46.98 tff(30747,plain,
% 74.09/46.98 (v221(constB83) | (~v243(constB83))),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30746, 6542, 30743])).
% 74.09/46.98 tff(30748,plain,
% 74.09/46.98 (~v243(constB83)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30747, 30739])).
% 74.09/46.98 tff(30749,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB83) | v255(constB83))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB83) | v255(constB83))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30750,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB83) | v255(constB83))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30751,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB83) | v255(constB83)),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30750, 30749])).
% 74.09/46.98 tff(30752,plain,
% 74.09/46.98 (v255(constB83)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30751, 6553, 30748])).
% 74.09/46.98 tff(30753,plain,
% 74.09/46.98 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB83)) | (~v216(constB83, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB83)) | (~v216(constB83, bitIndex2)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30754,plain,
% 74.09/46.98 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB83)) | (~v216(constB83, bitIndex2)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30755,plain,
% 74.09/46.98 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB83)) | (~v216(constB83, bitIndex2))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30754, 30753])).
% 74.09/46.98 tff(30756,plain,
% 74.09/46.98 (~v216(constB83, bitIndex2)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30755, 6564, 30752])).
% 74.09/46.98 tff(30757,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB83)) | v216(constB83, bitIndex2) | v254(constB83))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB83)) | v216(constB83, bitIndex2) | v254(constB83))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30758,plain,
% 74.09/46.98 ((v216(constB83, bitIndex2) | v254(constB83) | (~v215(constB83))) <=> ((~v215(constB83)) | v216(constB83, bitIndex2) | v254(constB83))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30759,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB83, bitIndex2) | v254(constB83) | (~v215(constB83)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB83)) | v216(constB83, bitIndex2) | v254(constB83)))),
% 74.09/46.98 inference(monotonicity,[status(thm)],[30758])).
% 74.09/46.98 tff(30760,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB83, bitIndex2) | v254(constB83) | (~v215(constB83)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB83)) | v216(constB83, bitIndex2) | v254(constB83))),
% 74.09/46.98 inference(transitivity,[status(thm)],[30759, 30757])).
% 74.09/46.98 tff(30761,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB83, bitIndex2) | v254(constB83) | (~v215(constB83)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30762,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB83)) | v216(constB83, bitIndex2) | v254(constB83)),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30761, 30760])).
% 74.09/46.98 tff(30763,plain,
% 74.09/46.98 ((~v215(constB83)) | v254(constB83)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30762, 6578, 30756])).
% 74.09/46.98 tff(30764,plain,
% 74.09/46.98 (~v215(constB83)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30763, 30735])).
% 74.09/46.98 tff(30765,plain,
% 74.09/46.98 ($false),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30764, 30362])).
% 74.09/46.98 tff(30766,plain,(~(constB83 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.09/46.98 tff(30767,assumption,(constB135 = sK0_VarCurr), introduced(assumption)).
% 74.09/46.98 tff(30768,plain,
% 74.09/46.98 (v215(constB135) <=> v215(sK0_VarCurr)),
% 74.09/46.98 inference(monotonicity,[status(thm)],[30767])).
% 74.09/46.98 tff(30769,plain,
% 74.09/46.98 (v215(sK0_VarCurr) <=> v215(constB135)),
% 74.09/46.98 inference(symmetry,[status(thm)],[30768])).
% 74.09/46.98 tff(30770,plain,
% 74.09/46.98 (v215(constB135)),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[28, 30769])).
% 74.09/46.98 tff(30771,plain,
% 74.09/46.98 (~v130(constB133, bitIndex2)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[19549, 1955, 19846, 19845, 19844, 19843, 19842, 19841])).
% 74.09/46.98 tff(30772,plain,
% 74.09/46.98 (~v127(constB133, bitIndex2)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[19557, 30771])).
% 74.09/46.98 tff(30773,plain,
% 74.09/46.98 (~v129(constB134, bitIndex2)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[19562, 30772])).
% 74.09/46.98 tff(30774,plain,
% 74.09/46.98 ((~v90(constB134, bitIndex2)) | (~v100(constB134))),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[19570, 503, 30773])).
% 74.09/46.98 tff(30775,plain,
% 74.09/46.98 (~v90(constB134, bitIndex2)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30774, 19500])).
% 74.09/46.98 tff(30776,plain,
% 74.09/46.98 (~v90(constB135, bitIndex2)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[19598, 30775])).
% 74.09/46.98 tff(30777,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB135, bitIndex2) | (~v88(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB135, bitIndex2) | (~v88(constB135, bitIndex2)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30778,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB135, bitIndex2) | (~v88(constB135, bitIndex2)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30779,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB135, bitIndex2) | (~v88(constB135, bitIndex2))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30778, 30777])).
% 74.09/46.98 tff(30780,plain,
% 74.09/46.98 (~v88(constB135, bitIndex2)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30779, 20913, 30776])).
% 74.09/46.98 tff(30781,plain,
% 74.09/46.98 (~v130(constB133, bitIndex1)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[19639, 2146, 19846, 19845, 19844, 19843, 19842, 19841])).
% 74.09/46.98 tff(30782,plain,
% 74.09/46.98 (~v127(constB133, bitIndex1)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[19647, 30781])).
% 74.09/46.98 tff(30783,plain,
% 74.09/46.98 (~v129(constB134, bitIndex1)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[19652, 30782])).
% 74.09/46.98 tff(30784,plain,
% 74.09/46.98 ((~v90(constB134, bitIndex1)) | (~v100(constB134))),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[19659, 603, 30783])).
% 74.09/46.98 tff(30785,plain,
% 74.09/46.98 (~v90(constB134, bitIndex1)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30784, 19500])).
% 74.09/46.98 tff(30786,plain,
% 74.09/46.98 (~v90(constB135, bitIndex1)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[19669, 30785])).
% 74.09/46.98 tff(30787,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB135, bitIndex1) | (~v88(constB135, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB135, bitIndex1) | (~v88(constB135, bitIndex1)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30788,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB135, bitIndex1) | (~v88(constB135, bitIndex1)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30789,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB135, bitIndex1) | (~v88(constB135, bitIndex1))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30788, 30787])).
% 74.09/46.98 tff(30790,plain,
% 74.09/46.98 (~v88(constB135, bitIndex1)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30789, 6234, 30786])).
% 74.09/46.98 tff(30791,plain,
% 74.09/46.98 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB135, bitIndex0)) | v88(constB135, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB135, bitIndex0)) | v88(constB135, bitIndex0))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30792,plain,
% 74.09/46.98 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB135, bitIndex0)) | v88(constB135, bitIndex0))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30793,plain,
% 74.09/46.98 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB135, bitIndex0)) | v88(constB135, bitIndex0)),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30792, 30791])).
% 74.09/46.98 tff(30794,plain,
% 74.09/46.98 (v88(constB135, bitIndex0)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30793, 6074, 19852])).
% 74.09/46.98 tff(30795,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB135, bitIndex1) | v88(constB135, bitIndex2) | (~v88(constB135, bitIndex0)) | v140(constB135))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB135, bitIndex1) | v88(constB135, bitIndex2) | (~v88(constB135, bitIndex0)) | v140(constB135))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30796,plain,
% 74.09/46.98 ((v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0)) | v140(constB135)) <=> (v88(constB135, bitIndex1) | v88(constB135, bitIndex2) | (~v88(constB135, bitIndex0)) | v140(constB135))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30797,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0)) | v140(constB135))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB135, bitIndex1) | v88(constB135, bitIndex2) | (~v88(constB135, bitIndex0)) | v140(constB135)))),
% 74.09/46.98 inference(monotonicity,[status(thm)],[30796])).
% 74.09/46.98 tff(30798,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0)) | v140(constB135))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB135, bitIndex1) | v88(constB135, bitIndex2) | (~v88(constB135, bitIndex0)) | v140(constB135))),
% 74.09/46.98 inference(transitivity,[status(thm)],[30797, 30795])).
% 74.09/46.98 tff(30799,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB135, bitIndex2) | v88(constB135, bitIndex1) | (~v88(constB135, bitIndex0)) | v140(constB135))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30800,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB135, bitIndex1) | v88(constB135, bitIndex2) | (~v88(constB135, bitIndex0)) | v140(constB135)),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30799, 30798])).
% 74.09/46.98 tff(30801,plain,
% 74.09/46.98 (v140(constB135)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30800, 27506, 30794, 30790, 30780])).
% 74.09/46.98 tff(30802,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB135) | (~v140(constB135)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB135) | (~v140(constB135)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30803,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB135) | (~v140(constB135)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30804,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB135) | (~v140(constB135))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30803, 30802])).
% 74.09/46.98 tff(30805,plain,
% 74.09/46.98 (v200(constB135)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30804, 27520, 30801])).
% 74.09/46.98 tff(30806,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB135) | (~v200(constB135)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB135) | (~v200(constB135)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30807,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB135) | (~v200(constB135)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30808,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB135) | (~v200(constB135))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30807, 30806])).
% 74.09/46.98 tff(30809,plain,
% 74.09/46.98 (v199(constB135)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30808, 27531, 30805])).
% 74.09/46.98 tff(30810,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB135) | (~v199(constB135)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB135) | (~v199(constB135)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30811,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB135) | (~v199(constB135)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30812,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB135) | (~v199(constB135))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30811, 30810])).
% 74.09/46.98 tff(30813,plain,
% 74.09/46.98 (v198(constB135)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30812, 20970, 30809])).
% 74.09/46.98 tff(30814,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB135) | (~v198(constB135)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB135) | (~v198(constB135)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30815,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB135) | (~v198(constB135)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30816,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB135) | (~v198(constB135))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30815, 30814])).
% 74.09/46.98 tff(30817,plain,
% 74.09/46.98 (v197(constB135)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30816, 20995, 30813])).
% 74.09/46.98 tff(30818,plain,
% 74.09/46.98 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB135)) | (~v200(constB135)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB135)) | (~v200(constB135)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30819,plain,
% 74.09/46.98 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB135)) | (~v200(constB135)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30820,plain,
% 74.09/46.98 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB135)) | (~v200(constB135))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30819, 30818])).
% 74.09/46.98 tff(30821,plain,
% 74.09/46.98 (~v166(constB135)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30820, 27591, 30805])).
% 74.09/46.98 tff(30822,plain,
% 74.09/46.98 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB135) | v166(constB135) | (~v197(constB135)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB135) | v166(constB135) | (~v197(constB135)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30823,plain,
% 74.09/46.98 (((~v197(constB135)) | v166(constB135) | v241(constB135)) <=> (v241(constB135) | v166(constB135) | (~v197(constB135)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30824,plain,
% 74.09/46.98 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB135)) | v166(constB135) | v241(constB135))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB135) | v166(constB135) | (~v197(constB135))))),
% 74.09/46.98 inference(monotonicity,[status(thm)],[30823])).
% 74.09/46.98 tff(30825,plain,
% 74.09/46.98 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB135)) | v166(constB135) | v241(constB135))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB135) | v166(constB135) | (~v197(constB135)))),
% 74.09/46.98 inference(transitivity,[status(thm)],[30824, 30822])).
% 74.09/46.98 tff(30826,plain,
% 74.09/46.98 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB135)) | v166(constB135) | v241(constB135))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30827,plain,
% 74.09/46.98 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB135) | v166(constB135) | (~v197(constB135))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30826, 30825])).
% 74.09/46.98 tff(30828,plain,
% 74.09/46.98 (v241(constB135) | (~v197(constB135))),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30827, 6343, 30821])).
% 74.09/46.98 tff(30829,plain,
% 74.09/46.98 (v241(constB135)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30828, 30817])).
% 74.09/46.98 tff(30830,plain,
% 74.09/46.98 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB135)) | (~v223(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB135)) | (~v223(constB135, bitIndex2)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30831,plain,
% 74.09/46.98 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB135)) | (~v223(constB135, bitIndex2)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30832,plain,
% 74.09/46.98 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB135)) | (~v223(constB135, bitIndex2))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30831, 30830])).
% 74.09/46.98 tff(30833,plain,
% 74.09/46.98 (~v223(constB135, bitIndex2)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30832, 6357, 30829])).
% 74.09/46.98 tff(30834,plain,
% 74.09/46.98 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB135)) | v223(constB135, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB135)) | v223(constB135, bitIndex2))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30835,plain,
% 74.09/46.98 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB135)) | v223(constB135, bitIndex2))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30836,plain,
% 74.09/46.98 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB135)) | v223(constB135, bitIndex2)),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30835, 30834])).
% 74.09/46.98 tff(30837,plain,
% 74.09/46.98 (~v224(constB135)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30836, 6371, 30833])).
% 74.09/46.98 tff(30838,plain,
% 74.09/46.98 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB135)) | (~v199(constB135)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB135)) | (~v199(constB135)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30839,plain,
% 74.09/46.98 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB135)) | (~v199(constB135)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30840,plain,
% 74.09/46.98 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB135)) | (~v199(constB135))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30839, 30838])).
% 74.09/46.98 tff(30841,plain,
% 74.09/46.98 (~v183(constB135)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30840, 21034, 30809])).
% 74.09/46.98 tff(30842,plain,
% 74.09/46.98 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB135) | v183(constB135) | (~v197(constB135)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB135) | v183(constB135) | (~v197(constB135)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30843,plain,
% 74.09/46.98 (((~v197(constB135)) | v183(constB135) | v228(constB135)) <=> (v228(constB135) | v183(constB135) | (~v197(constB135)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30844,plain,
% 74.09/46.98 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB135)) | v183(constB135) | v228(constB135))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB135) | v183(constB135) | (~v197(constB135))))),
% 74.09/46.98 inference(monotonicity,[status(thm)],[30843])).
% 74.09/46.98 tff(30845,plain,
% 74.09/46.98 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB135)) | v183(constB135) | v228(constB135))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB135) | v183(constB135) | (~v197(constB135)))),
% 74.09/46.98 inference(transitivity,[status(thm)],[30844, 30842])).
% 74.09/46.98 tff(30846,plain,
% 74.09/46.98 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB135)) | v183(constB135) | v228(constB135))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30847,plain,
% 74.09/46.98 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB135) | v183(constB135) | (~v197(constB135))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30846, 30845])).
% 74.09/46.98 tff(30848,plain,
% 74.09/46.98 (v228(constB135)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30847, 6287, 30817, 30841])).
% 74.09/46.98 tff(30849,plain,
% 74.09/46.98 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB135)) | (~v223(constB135, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB135)) | (~v223(constB135, bitIndex1)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30850,plain,
% 74.09/46.98 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB135)) | (~v223(constB135, bitIndex1)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30851,plain,
% 74.09/46.98 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB135)) | (~v223(constB135, bitIndex1))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30850, 30849])).
% 74.09/46.98 tff(30852,plain,
% 74.09/46.98 (~v223(constB135, bitIndex1)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30851, 6301, 30848])).
% 74.09/46.98 tff(30853,plain,
% 74.09/46.98 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB135)) | v223(constB135, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB135)) | v223(constB135, bitIndex1))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30854,plain,
% 74.09/46.98 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB135)) | v223(constB135, bitIndex1))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30855,plain,
% 74.09/46.98 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB135)) | v223(constB135, bitIndex1)),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30854, 30853])).
% 74.09/46.98 tff(30856,plain,
% 74.09/46.98 (~v222(constB135)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30855, 6315, 30852])).
% 74.09/46.98 tff(30857,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB135) | v224(constB135) | (~v236(constB135)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB135) | v224(constB135) | (~v236(constB135)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30858,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB135) | v224(constB135) | (~v236(constB135)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30859,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB135) | v224(constB135) | (~v236(constB135))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30858, 30857])).
% 74.09/46.98 tff(30860,plain,
% 74.09/46.98 (~v236(constB135)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30859, 6385, 30856, 30837])).
% 74.09/46.98 tff(30861,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB135) | (~v232(constB135)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB135) | (~v232(constB135)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30862,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB135) | (~v232(constB135)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30863,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB135) | (~v232(constB135))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30862, 30861])).
% 74.09/46.98 tff(30864,plain,
% 74.09/46.98 (~v232(constB135)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30863, 6396, 30860])).
% 74.09/46.98 tff(30865,plain,
% 74.09/46.98 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB135)) | (~v201(constB135)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB135)) | (~v201(constB135)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30866,plain,
% 74.09/46.98 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB135)) | (~v201(constB135)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30867,plain,
% 74.09/46.98 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB135)) | (~v201(constB135))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30866, 30865])).
% 74.09/46.98 tff(30868,plain,
% 74.09/46.98 (~v201(constB135)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30867, 20984, 30813])).
% 74.09/46.98 tff(30869,plain,
% 74.09/46.98 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB135) | (~v197(constB135)) | v201(constB135))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB135) | (~v197(constB135)) | v201(constB135))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30870,plain,
% 74.09/46.98 (((~v197(constB135)) | v201(constB135) | v227(constB135)) <=> (v227(constB135) | (~v197(constB135)) | v201(constB135))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30871,plain,
% 74.09/46.98 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB135)) | v201(constB135) | v227(constB135))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB135) | (~v197(constB135)) | v201(constB135)))),
% 74.09/46.98 inference(monotonicity,[status(thm)],[30870])).
% 74.09/46.98 tff(30872,plain,
% 74.09/46.98 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB135)) | v201(constB135) | v227(constB135))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB135) | (~v197(constB135)) | v201(constB135))),
% 74.09/46.98 inference(transitivity,[status(thm)],[30871, 30869])).
% 74.09/46.98 tff(30873,plain,
% 74.09/46.98 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB135)) | v201(constB135) | v227(constB135))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30874,plain,
% 74.09/46.98 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB135) | (~v197(constB135)) | v201(constB135)),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30873, 30872])).
% 74.09/46.98 tff(30875,plain,
% 74.09/46.98 (v227(constB135)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30874, 21009, 30817, 30868])).
% 74.09/46.98 tff(30876,plain,
% 74.09/46.98 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB135)) | (~v223(constB135, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB135)) | (~v223(constB135, bitIndex0)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30877,plain,
% 74.09/46.98 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB135)) | (~v223(constB135, bitIndex0)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30878,plain,
% 74.09/46.98 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB135)) | (~v223(constB135, bitIndex0))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30877, 30876])).
% 74.09/46.98 tff(30879,plain,
% 74.09/46.98 (~v223(constB135, bitIndex0)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30878, 21023, 30875])).
% 74.09/46.98 tff(30880,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB135, bitIndex1) | v223(constB135, bitIndex0) | (~v229(constB135)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB135, bitIndex1) | v223(constB135, bitIndex0) | (~v229(constB135)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30881,plain,
% 74.09/46.98 ((v223(constB135, bitIndex0) | v223(constB135, bitIndex1) | (~v229(constB135))) <=> (v223(constB135, bitIndex1) | v223(constB135, bitIndex0) | (~v229(constB135)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30882,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB135, bitIndex0) | v223(constB135, bitIndex1) | (~v229(constB135)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB135, bitIndex1) | v223(constB135, bitIndex0) | (~v229(constB135))))),
% 74.09/46.98 inference(monotonicity,[status(thm)],[30881])).
% 74.09/46.98 tff(30883,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB135, bitIndex0) | v223(constB135, bitIndex1) | (~v229(constB135)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB135, bitIndex1) | v223(constB135, bitIndex0) | (~v229(constB135)))),
% 74.09/46.98 inference(transitivity,[status(thm)],[30882, 30880])).
% 74.09/46.98 tff(30884,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB135, bitIndex0) | v223(constB135, bitIndex1) | (~v229(constB135)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30885,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB135, bitIndex1) | v223(constB135, bitIndex0) | (~v229(constB135))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30884, 30883])).
% 74.09/46.98 tff(30886,plain,
% 74.09/46.98 (~v229(constB135)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30885, 21059, 30852, 30879])).
% 74.09/46.98 tff(30887,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB135) | (~v225(constB135)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB135) | (~v225(constB135)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30888,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB135) | (~v225(constB135)))),
% 74.09/46.98 inference(quant_inst,[status(thm)],[])).
% 74.09/46.98 tff(30889,plain,
% 74.09/46.98 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB135) | (~v225(constB135))),
% 74.09/46.98 inference(modus_ponens,[status(thm)],[30888, 30887])).
% 74.09/46.98 tff(30890,plain,
% 74.09/46.98 (~v225(constB135)),
% 74.09/46.98 inference(unit_resolution,[status(thm)],[30889, 21073, 30886])).
% 74.09/46.98 tff(30891,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB135, bitIndex2) | v225(constB135) | (~v242(constB135)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB135, bitIndex2) | v225(constB135) | (~v242(constB135)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30892,plain,
% 74.09/46.98 ((v225(constB135) | v223(constB135, bitIndex2) | (~v242(constB135))) <=> (v223(constB135, bitIndex2) | v225(constB135) | (~v242(constB135)))),
% 74.09/46.98 inference(rewrite,[status(thm)],[])).
% 74.09/46.98 tff(30893,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB135) | v223(constB135, bitIndex2) | (~v242(constB135)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB135, bitIndex2) | v225(constB135) | (~v242(constB135))))),
% 74.09/46.98 inference(monotonicity,[status(thm)],[30892])).
% 74.09/46.98 tff(30894,plain,
% 74.09/46.98 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB135) | v223(constB135, bitIndex2) | (~v242(constB135)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB135, bitIndex2) | v225(constB135) | (~v242(constB135)))),
% 74.09/46.99 inference(transitivity,[status(thm)],[30893, 30891])).
% 74.09/46.99 tff(30895,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB135) | v223(constB135, bitIndex2) | (~v242(constB135)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(30896,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB135, bitIndex2) | v225(constB135) | (~v242(constB135))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[30895, 30894])).
% 74.09/46.99 tff(30897,plain,
% 74.09/46.99 (v225(constB135) | (~v242(constB135))),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[30896, 27617, 30833])).
% 74.09/46.99 tff(30898,plain,
% 74.09/46.99 (~v242(constB135)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[30897, 30890])).
% 74.09/46.99 tff(30899,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB135) | (~v238(constB135)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB135) | (~v238(constB135)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(30900,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB135) | (~v238(constB135)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(30901,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB135) | (~v238(constB135))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[30900, 30899])).
% 74.09/46.99 tff(30902,plain,
% 74.09/46.99 (~v238(constB135)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[30901, 27632, 30898])).
% 74.09/46.99 tff(30903,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB135) | (~v237(constB135)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB135) | (~v237(constB135)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(30904,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB135) | (~v237(constB135)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(30905,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB135) | (~v237(constB135))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[30904, 30903])).
% 74.09/46.99 tff(30906,plain,
% 74.09/46.99 (~v237(constB135)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[30905, 27643, 30902])).
% 74.09/46.99 tff(30907,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB135) | v232(constB135) | (~v248(constB135)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB135) | v232(constB135) | (~v248(constB135)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(30908,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB135) | v232(constB135) | (~v248(constB135)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(30909,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB135) | v232(constB135) | (~v248(constB135))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[30908, 30907])).
% 74.09/46.99 tff(30910,plain,
% 74.09/46.99 (~v248(constB135)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[30909, 6469, 30906, 30864])).
% 74.09/46.99 tff(30911,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB135) | (~v244(constB135)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB135) | (~v244(constB135)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(30912,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB135) | (~v244(constB135)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(30913,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB135) | (~v244(constB135))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[30912, 30911])).
% 74.09/46.99 tff(30914,plain,
% 74.09/46.99 (~v244(constB135)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[30913, 6484, 30910])).
% 74.09/46.99 tff(30915,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB135) | (~v216(constB135, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB135) | (~v216(constB135, bitIndex1)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(30916,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB135) | (~v216(constB135, bitIndex1)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(30917,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB135) | (~v216(constB135, bitIndex1))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[30916, 30915])).
% 74.09/46.99 tff(30918,plain,
% 74.09/46.99 (~v216(constB135, bitIndex1)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[30917, 6495, 30914])).
% 74.09/46.99 tff(30919,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB135, bitIndex1) | (~v254(constB135)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB135, bitIndex1) | (~v254(constB135)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(30920,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB135, bitIndex1) | (~v254(constB135)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(30921,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB135, bitIndex1) | (~v254(constB135))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[30920, 30919])).
% 74.09/46.99 tff(30922,plain,
% 74.09/46.99 (~v254(constB135)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[30921, 6506, 30918])).
% 74.09/46.99 tff(30923,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB135) | (~v231(constB135)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB135) | (~v231(constB135)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(30924,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB135) | (~v231(constB135)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(30925,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB135) | (~v231(constB135))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[30924, 30923])).
% 74.09/46.99 tff(30926,plain,
% 74.09/46.99 (~v231(constB135)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[30925, 27687, 30864])).
% 74.09/46.99 tff(30927,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB135) | (~v221(constB135)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB135) | (~v221(constB135)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(30928,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB135) | (~v221(constB135)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(30929,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB135) | (~v221(constB135))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[30928, 30927])).
% 74.09/46.99 tff(30930,plain,
% 74.09/46.99 (~v221(constB135)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[30929, 21170, 30856])).
% 74.09/46.99 tff(30931,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB135) | v231(constB135) | (~v243(constB135)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB135) | v231(constB135) | (~v243(constB135)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(30932,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB135) | v231(constB135) | (~v243(constB135)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(30933,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB135) | v231(constB135) | (~v243(constB135))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[30932, 30931])).
% 74.09/46.99 tff(30934,plain,
% 74.09/46.99 (v231(constB135) | (~v243(constB135))),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[30933, 6542, 30930])).
% 74.09/46.99 tff(30935,plain,
% 74.09/46.99 (~v243(constB135)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[30934, 30926])).
% 74.09/46.99 tff(30936,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB135) | v255(constB135))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB135) | v255(constB135))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(30937,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB135) | v255(constB135))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(30938,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB135) | v255(constB135)),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[30937, 30936])).
% 74.09/46.99 tff(30939,plain,
% 74.09/46.99 (v255(constB135)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[30938, 6553, 30935])).
% 74.09/46.99 tff(30940,plain,
% 74.09/46.99 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB135)) | (~v216(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB135)) | (~v216(constB135, bitIndex2)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(30941,plain,
% 74.09/46.99 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB135)) | (~v216(constB135, bitIndex2)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(30942,plain,
% 74.09/46.99 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB135)) | (~v216(constB135, bitIndex2))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[30941, 30940])).
% 74.09/46.99 tff(30943,plain,
% 74.09/46.99 (~v216(constB135, bitIndex2)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[30942, 6564, 30939])).
% 74.09/46.99 tff(30944,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB135, bitIndex2) | (~v215(constB135)) | v254(constB135))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB135, bitIndex2) | (~v215(constB135)) | v254(constB135))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(30945,plain,
% 74.09/46.99 ((v216(constB135, bitIndex2) | v254(constB135) | (~v215(constB135))) <=> (v216(constB135, bitIndex2) | (~v215(constB135)) | v254(constB135))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(30946,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB135, bitIndex2) | v254(constB135) | (~v215(constB135)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB135, bitIndex2) | (~v215(constB135)) | v254(constB135)))),
% 74.09/46.99 inference(monotonicity,[status(thm)],[30945])).
% 74.09/46.99 tff(30947,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB135, bitIndex2) | v254(constB135) | (~v215(constB135)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB135, bitIndex2) | (~v215(constB135)) | v254(constB135))),
% 74.09/46.99 inference(transitivity,[status(thm)],[30946, 30944])).
% 74.09/46.99 tff(30948,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB135, bitIndex2) | v254(constB135) | (~v215(constB135)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(30949,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB135, bitIndex2) | (~v215(constB135)) | v254(constB135)),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[30948, 30947])).
% 74.09/46.99 tff(30950,plain,
% 74.09/46.99 ((~v215(constB135)) | v254(constB135)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[30949, 6578, 30943])).
% 74.09/46.99 tff(30951,plain,
% 74.09/46.99 (~v215(constB135)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[30950, 30922])).
% 74.09/46.99 tff(30952,plain,
% 74.09/46.99 ($false),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[30951, 30770])).
% 74.09/46.99 tff(30953,plain,(~(constB135 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.09/46.99 tff(30954,assumption,(constB99 = sK0_VarCurr), introduced(assumption)).
% 74.09/46.99 tff(30955,plain,
% 74.09/46.99 (v215(constB99) <=> v215(sK0_VarCurr)),
% 74.09/46.99 inference(monotonicity,[status(thm)],[30954])).
% 74.09/46.99 tff(30956,plain,
% 74.09/46.99 (v215(sK0_VarCurr) <=> v215(constB99)),
% 74.09/46.99 inference(symmetry,[status(thm)],[30955])).
% 74.09/46.99 tff(30957,plain,
% 74.09/46.99 (v215(constB99)),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[28, 30956])).
% 74.09/46.99 tff(30958,plain,
% 74.09/46.99 (v130(constB95, bitIndex1)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[14971, 1867, 14834])).
% 74.09/46.99 tff(30959,plain,
% 74.09/46.99 (v127(constB95, bitIndex1)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[14976, 30958])).
% 74.09/46.99 tff(30960,plain,
% 74.09/46.99 (v129(constB96, bitIndex1)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[14981, 30959])).
% 74.09/46.99 tff(30961,plain,
% 74.09/46.99 (v90(constB96, bitIndex1) | (~v100(constB96))),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[14988, 854, 30960])).
% 74.09/46.99 tff(30962,plain,
% 74.09/46.99 (v90(constB96, bitIndex1)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[30961, 14899])).
% 74.09/46.99 tff(30963,plain,
% 74.09/46.99 (v90(constB97, bitIndex1)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[14998, 30962])).
% 74.09/46.99 tff(30964,plain,
% 74.09/46.99 (~v130(constB95, bitIndex0)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15002, 1992, 14834])).
% 74.09/46.99 tff(30965,plain,
% 74.09/46.99 (~v127(constB95, bitIndex0)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15010, 30964])).
% 74.09/46.99 tff(30966,plain,
% 74.09/46.99 (~v129(constB96, bitIndex0)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15015, 30965])).
% 74.09/46.99 tff(30967,plain,
% 74.09/46.99 ((~v90(constB96, bitIndex0)) | (~v100(constB96))),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15022, 938, 30966])).
% 74.09/46.99 tff(30968,plain,
% 74.09/46.99 (~v90(constB96, bitIndex0)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[30967, 14899])).
% 74.09/46.99 tff(30969,plain,
% 74.09/46.99 (~v90(constB97, bitIndex0)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15032, 30968])).
% 74.09/46.99 tff(30970,plain,
% 74.09/46.99 (v125(constB97)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15036, 2036, 30969, 30963, 14952])).
% 74.09/46.99 tff(30971,plain,
% 74.09/46.99 (v113(constB97)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15040, 2047, 30970])).
% 74.09/46.99 tff(30972,plain,
% 74.09/46.99 (v112(constB97)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15049, 30971])).
% 74.09/46.99 tff(30973,plain,
% 74.09/46.99 (v108(constB97)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15053, 210, 30972])).
% 74.09/46.99 tff(30974,plain,
% 74.09/46.99 (v110(constB98)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15064, 30973])).
% 74.09/46.99 tff(30975,plain,
% 74.09/46.99 (v100(constB98)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15090, 30974])).
% 74.09/46.99 tff(30976,plain,
% 74.09/46.99 (~v119(constB97)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15094, 1908, 30963])).
% 74.09/46.99 tff(30977,plain,
% 74.09/46.99 (~v120(constB97)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15098, 1919, 30963])).
% 74.09/46.99 tff(30978,plain,
% 74.09/46.99 (~v123(constB97)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15102, 1930, 30963])).
% 74.09/46.99 tff(30979,plain,
% 74.09/46.99 (~v124(constB97)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15106, 1941, 30963])).
% 74.09/46.99 tff(30980,plain,
% 74.09/46.99 (~v130(constB97, bitIndex2)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15115, 1955, 14956, 14960, 30979, 30978, 30977, 30976])).
% 74.09/46.99 tff(30981,plain,
% 74.09/46.99 (~v127(constB97, bitIndex2)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15123, 30980])).
% 74.09/46.99 tff(30982,plain,
% 74.09/46.99 (~v129(constB98, bitIndex2)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15128, 30981])).
% 74.09/46.99 tff(30983,plain,
% 74.09/46.99 ((~v90(constB98, bitIndex2)) | (~v100(constB98))),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15135, 503, 30982])).
% 74.09/46.99 tff(30984,plain,
% 74.09/46.99 (~v90(constB98, bitIndex2)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[30983, 30975])).
% 74.09/46.99 tff(30985,plain,
% 74.09/46.99 (~v90(constB99, bitIndex2)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15163, 30984])).
% 74.09/46.99 tff(30986,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB99, bitIndex2) | (~v88(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB99, bitIndex2) | (~v88(constB99, bitIndex2)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(30987,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB99, bitIndex2) | (~v88(constB99, bitIndex2)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(30988,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB99, bitIndex2) | (~v88(constB99, bitIndex2))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[30987, 30986])).
% 74.09/46.99 tff(30989,plain,
% 74.09/46.99 (~v88(constB99, bitIndex2)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[30988, 20913, 30985])).
% 74.09/46.99 tff(30990,plain,
% 74.09/46.99 (~v130(constB97, bitIndex1)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15204, 2146, 14956, 14960, 30979, 30978, 30977, 30976])).
% 74.09/46.99 tff(30991,plain,
% 74.09/46.99 (~v127(constB97, bitIndex1)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15212, 30990])).
% 74.09/46.99 tff(30992,plain,
% 74.09/46.99 (~v129(constB98, bitIndex1)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15217, 30991])).
% 74.09/46.99 tff(30993,plain,
% 74.09/46.99 ((~v90(constB98, bitIndex1)) | (~v100(constB98))),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15224, 603, 30992])).
% 74.09/46.99 tff(30994,plain,
% 74.09/46.99 (~v90(constB98, bitIndex1)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[30993, 30975])).
% 74.09/46.99 tff(30995,plain,
% 74.09/46.99 (~v90(constB99, bitIndex1)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15234, 30994])).
% 74.09/46.99 tff(30996,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB99, bitIndex1) | (~v88(constB99, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB99, bitIndex1) | (~v88(constB99, bitIndex1)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(30997,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB99, bitIndex1) | (~v88(constB99, bitIndex1)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(30998,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB99, bitIndex1) | (~v88(constB99, bitIndex1))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[30997, 30996])).
% 74.09/46.99 tff(30999,plain,
% 74.09/46.99 (~v88(constB99, bitIndex1)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[30998, 6234, 30995])).
% 74.09/46.99 tff(31000,plain,
% 74.09/46.99 (v130(constB97, bitIndex0)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15170, 2192, 14956, 14960, 30979, 30978, 30977, 30976])).
% 74.09/46.99 tff(31001,plain,
% 74.09/46.99 (v127(constB97, bitIndex0)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15175, 31000])).
% 74.09/46.99 tff(31002,plain,
% 74.09/46.99 (v129(constB98, bitIndex0)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15180, 31001])).
% 74.09/46.99 tff(31003,plain,
% 74.09/46.99 (v90(constB98, bitIndex0) | (~v100(constB98))),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15187, 401, 31002])).
% 74.09/46.99 tff(31004,plain,
% 74.09/46.99 (v90(constB98, bitIndex0)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31003, 30975])).
% 74.09/46.99 tff(31005,plain,
% 74.09/46.99 (v90(constB99, bitIndex0)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[15197, 31004])).
% 74.09/46.99 tff(31006,plain,
% 74.09/46.99 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB99, bitIndex0)) | v88(constB99, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB99, bitIndex0)) | v88(constB99, bitIndex0))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31007,plain,
% 74.09/46.99 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB99, bitIndex0)) | v88(constB99, bitIndex0))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(31008,plain,
% 74.09/46.99 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB99, bitIndex0)) | v88(constB99, bitIndex0)),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[31007, 31006])).
% 74.09/46.99 tff(31009,plain,
% 74.09/46.99 (v88(constB99, bitIndex0)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31008, 6074, 31005])).
% 74.09/46.99 tff(31010,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB99, bitIndex1) | v88(constB99, bitIndex2) | (~v88(constB99, bitIndex0)) | v140(constB99))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB99, bitIndex1) | v88(constB99, bitIndex2) | (~v88(constB99, bitIndex0)) | v140(constB99))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31011,plain,
% 74.09/46.99 ((v88(constB99, bitIndex2) | v88(constB99, bitIndex1) | (~v88(constB99, bitIndex0)) | v140(constB99)) <=> (v88(constB99, bitIndex1) | v88(constB99, bitIndex2) | (~v88(constB99, bitIndex0)) | v140(constB99))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31012,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB99, bitIndex2) | v88(constB99, bitIndex1) | (~v88(constB99, bitIndex0)) | v140(constB99))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB99, bitIndex1) | v88(constB99, bitIndex2) | (~v88(constB99, bitIndex0)) | v140(constB99)))),
% 74.09/46.99 inference(monotonicity,[status(thm)],[31011])).
% 74.09/46.99 tff(31013,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB99, bitIndex2) | v88(constB99, bitIndex1) | (~v88(constB99, bitIndex0)) | v140(constB99))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB99, bitIndex1) | v88(constB99, bitIndex2) | (~v88(constB99, bitIndex0)) | v140(constB99))),
% 74.09/46.99 inference(transitivity,[status(thm)],[31012, 31010])).
% 74.09/46.99 tff(31014,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB99, bitIndex2) | v88(constB99, bitIndex1) | (~v88(constB99, bitIndex0)) | v140(constB99))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(31015,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB99, bitIndex1) | v88(constB99, bitIndex2) | (~v88(constB99, bitIndex0)) | v140(constB99)),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[31014, 31013])).
% 74.09/46.99 tff(31016,plain,
% 74.09/46.99 (v140(constB99)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31015, 27506, 31009, 30999, 30989])).
% 74.09/46.99 tff(31017,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB99) | (~v140(constB99)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB99) | (~v140(constB99)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31018,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB99) | (~v140(constB99)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(31019,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB99) | (~v140(constB99))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[31018, 31017])).
% 74.09/46.99 tff(31020,plain,
% 74.09/46.99 (v200(constB99)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31019, 27520, 31016])).
% 74.09/46.99 tff(31021,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB99) | (~v200(constB99)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB99) | (~v200(constB99)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31022,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB99) | (~v200(constB99)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(31023,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB99) | (~v200(constB99))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[31022, 31021])).
% 74.09/46.99 tff(31024,plain,
% 74.09/46.99 (v199(constB99)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31023, 27531, 31020])).
% 74.09/46.99 tff(31025,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB99) | (~v199(constB99)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB99) | (~v199(constB99)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31026,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB99) | (~v199(constB99)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(31027,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB99) | (~v199(constB99))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[31026, 31025])).
% 74.09/46.99 tff(31028,plain,
% 74.09/46.99 (v198(constB99)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31027, 20970, 31024])).
% 74.09/46.99 tff(31029,plain,
% 74.09/46.99 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB99)) | (~v201(constB99)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB99)) | (~v201(constB99)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31030,plain,
% 74.09/46.99 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB99)) | (~v201(constB99)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(31031,plain,
% 74.09/46.99 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB99)) | (~v201(constB99))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[31030, 31029])).
% 74.09/46.99 tff(31032,plain,
% 74.09/46.99 (~v201(constB99)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31031, 20984, 31028])).
% 74.09/46.99 tff(31033,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB99) | (~v198(constB99)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB99) | (~v198(constB99)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31034,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB99) | (~v198(constB99)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(31035,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB99) | (~v198(constB99))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[31034, 31033])).
% 74.09/46.99 tff(31036,plain,
% 74.09/46.99 (v197(constB99)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31035, 20995, 31028])).
% 74.09/46.99 tff(31037,plain,
% 74.09/46.99 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB99) | (~v197(constB99)) | v201(constB99))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB99) | (~v197(constB99)) | v201(constB99))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31038,plain,
% 74.09/46.99 (((~v197(constB99)) | v201(constB99) | v227(constB99)) <=> (v227(constB99) | (~v197(constB99)) | v201(constB99))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31039,plain,
% 74.09/46.99 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB99)) | v201(constB99) | v227(constB99))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB99) | (~v197(constB99)) | v201(constB99)))),
% 74.09/46.99 inference(monotonicity,[status(thm)],[31038])).
% 74.09/46.99 tff(31040,plain,
% 74.09/46.99 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB99)) | v201(constB99) | v227(constB99))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB99) | (~v197(constB99)) | v201(constB99))),
% 74.09/46.99 inference(transitivity,[status(thm)],[31039, 31037])).
% 74.09/46.99 tff(31041,plain,
% 74.09/46.99 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB99)) | v201(constB99) | v227(constB99))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(31042,plain,
% 74.09/46.99 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB99) | (~v197(constB99)) | v201(constB99)),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[31041, 31040])).
% 74.09/46.99 tff(31043,plain,
% 74.09/46.99 (v227(constB99)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31042, 21009, 31036, 31032])).
% 74.09/46.99 tff(31044,plain,
% 74.09/46.99 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB99)) | (~v223(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB99)) | (~v223(constB99, bitIndex0)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31045,plain,
% 74.09/46.99 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB99)) | (~v223(constB99, bitIndex0)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(31046,plain,
% 74.09/46.99 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB99)) | (~v223(constB99, bitIndex0))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[31045, 31044])).
% 74.09/46.99 tff(31047,plain,
% 74.09/46.99 (~v223(constB99, bitIndex0)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31046, 21023, 31043])).
% 74.09/46.99 tff(31048,plain,
% 74.09/46.99 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB99)) | (~v199(constB99)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB99)) | (~v199(constB99)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31049,plain,
% 74.09/46.99 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB99)) | (~v199(constB99)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(31050,plain,
% 74.09/46.99 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB99)) | (~v199(constB99))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[31049, 31048])).
% 74.09/46.99 tff(31051,plain,
% 74.09/46.99 (~v183(constB99)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31050, 21034, 31024])).
% 74.09/46.99 tff(31052,plain,
% 74.09/46.99 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB99) | v183(constB99) | (~v197(constB99)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB99) | v183(constB99) | (~v197(constB99)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31053,plain,
% 74.09/46.99 (((~v197(constB99)) | v183(constB99) | v228(constB99)) <=> (v228(constB99) | v183(constB99) | (~v197(constB99)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31054,plain,
% 74.09/46.99 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB99)) | v183(constB99) | v228(constB99))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB99) | v183(constB99) | (~v197(constB99))))),
% 74.09/46.99 inference(monotonicity,[status(thm)],[31053])).
% 74.09/46.99 tff(31055,plain,
% 74.09/46.99 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB99)) | v183(constB99) | v228(constB99))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB99) | v183(constB99) | (~v197(constB99)))),
% 74.09/46.99 inference(transitivity,[status(thm)],[31054, 31052])).
% 74.09/46.99 tff(31056,plain,
% 74.09/46.99 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB99)) | v183(constB99) | v228(constB99))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(31057,plain,
% 74.09/46.99 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB99) | v183(constB99) | (~v197(constB99))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[31056, 31055])).
% 74.09/46.99 tff(31058,plain,
% 74.09/46.99 (v228(constB99)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31057, 6287, 31036, 31051])).
% 74.09/46.99 tff(31059,plain,
% 74.09/46.99 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB99)) | (~v223(constB99, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB99)) | (~v223(constB99, bitIndex1)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31060,plain,
% 74.09/46.99 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB99)) | (~v223(constB99, bitIndex1)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(31061,plain,
% 74.09/46.99 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB99)) | (~v223(constB99, bitIndex1))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[31060, 31059])).
% 74.09/46.99 tff(31062,plain,
% 74.09/46.99 (~v223(constB99, bitIndex1)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31061, 6301, 31058])).
% 74.09/46.99 tff(31063,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB99, bitIndex1) | v223(constB99, bitIndex0) | (~v229(constB99)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB99, bitIndex1) | v223(constB99, bitIndex0) | (~v229(constB99)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31064,plain,
% 74.09/46.99 ((v223(constB99, bitIndex0) | v223(constB99, bitIndex1) | (~v229(constB99))) <=> (v223(constB99, bitIndex1) | v223(constB99, bitIndex0) | (~v229(constB99)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31065,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB99, bitIndex0) | v223(constB99, bitIndex1) | (~v229(constB99)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB99, bitIndex1) | v223(constB99, bitIndex0) | (~v229(constB99))))),
% 74.09/46.99 inference(monotonicity,[status(thm)],[31064])).
% 74.09/46.99 tff(31066,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB99, bitIndex0) | v223(constB99, bitIndex1) | (~v229(constB99)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB99, bitIndex1) | v223(constB99, bitIndex0) | (~v229(constB99)))),
% 74.09/46.99 inference(transitivity,[status(thm)],[31065, 31063])).
% 74.09/46.99 tff(31067,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB99, bitIndex0) | v223(constB99, bitIndex1) | (~v229(constB99)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(31068,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB99, bitIndex1) | v223(constB99, bitIndex0) | (~v229(constB99))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[31067, 31066])).
% 74.09/46.99 tff(31069,plain,
% 74.09/46.99 (~v229(constB99)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31068, 21059, 31062, 31047])).
% 74.09/46.99 tff(31070,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB99) | (~v225(constB99)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB99) | (~v225(constB99)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31071,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB99) | (~v225(constB99)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(31072,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB99) | (~v225(constB99))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[31071, 31070])).
% 74.09/46.99 tff(31073,plain,
% 74.09/46.99 (~v225(constB99)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31072, 21073, 31069])).
% 74.09/46.99 tff(31074,plain,
% 74.09/46.99 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB99)) | (~v200(constB99)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB99)) | (~v200(constB99)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31075,plain,
% 74.09/46.99 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB99)) | (~v200(constB99)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(31076,plain,
% 74.09/46.99 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB99)) | (~v200(constB99))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[31075, 31074])).
% 74.09/46.99 tff(31077,plain,
% 74.09/46.99 (~v166(constB99)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31076, 27591, 31020])).
% 74.09/46.99 tff(31078,plain,
% 74.09/46.99 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB99) | v166(constB99) | (~v197(constB99)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB99) | v166(constB99) | (~v197(constB99)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31079,plain,
% 74.09/46.99 (((~v197(constB99)) | v166(constB99) | v241(constB99)) <=> (v241(constB99) | v166(constB99) | (~v197(constB99)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31080,plain,
% 74.09/46.99 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB99)) | v166(constB99) | v241(constB99))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB99) | v166(constB99) | (~v197(constB99))))),
% 74.09/46.99 inference(monotonicity,[status(thm)],[31079])).
% 74.09/46.99 tff(31081,plain,
% 74.09/46.99 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB99)) | v166(constB99) | v241(constB99))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB99) | v166(constB99) | (~v197(constB99)))),
% 74.09/46.99 inference(transitivity,[status(thm)],[31080, 31078])).
% 74.09/46.99 tff(31082,plain,
% 74.09/46.99 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB99)) | v166(constB99) | v241(constB99))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(31083,plain,
% 74.09/46.99 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB99) | v166(constB99) | (~v197(constB99))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[31082, 31081])).
% 74.09/46.99 tff(31084,plain,
% 74.09/46.99 (v241(constB99) | (~v197(constB99))),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31083, 6343, 31077])).
% 74.09/46.99 tff(31085,plain,
% 74.09/46.99 (v241(constB99)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31084, 31036])).
% 74.09/46.99 tff(31086,plain,
% 74.09/46.99 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB99)) | (~v223(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB99)) | (~v223(constB99, bitIndex2)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31087,plain,
% 74.09/46.99 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB99)) | (~v223(constB99, bitIndex2)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(31088,plain,
% 74.09/46.99 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB99)) | (~v223(constB99, bitIndex2))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[31087, 31086])).
% 74.09/46.99 tff(31089,plain,
% 74.09/46.99 (~v223(constB99, bitIndex2)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31088, 6357, 31085])).
% 74.09/46.99 tff(31090,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB99, bitIndex2) | v225(constB99) | (~v242(constB99)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB99, bitIndex2) | v225(constB99) | (~v242(constB99)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31091,plain,
% 74.09/46.99 ((v225(constB99) | v223(constB99, bitIndex2) | (~v242(constB99))) <=> (v223(constB99, bitIndex2) | v225(constB99) | (~v242(constB99)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31092,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB99) | v223(constB99, bitIndex2) | (~v242(constB99)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB99, bitIndex2) | v225(constB99) | (~v242(constB99))))),
% 74.09/46.99 inference(monotonicity,[status(thm)],[31091])).
% 74.09/46.99 tff(31093,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB99) | v223(constB99, bitIndex2) | (~v242(constB99)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB99, bitIndex2) | v225(constB99) | (~v242(constB99)))),
% 74.09/46.99 inference(transitivity,[status(thm)],[31092, 31090])).
% 74.09/46.99 tff(31094,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB99) | v223(constB99, bitIndex2) | (~v242(constB99)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(31095,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB99, bitIndex2) | v225(constB99) | (~v242(constB99))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[31094, 31093])).
% 74.09/46.99 tff(31096,plain,
% 74.09/46.99 (v225(constB99) | (~v242(constB99))),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31095, 27617, 31089])).
% 74.09/46.99 tff(31097,plain,
% 74.09/46.99 (~v242(constB99)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31096, 31073])).
% 74.09/46.99 tff(31098,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB99) | (~v238(constB99)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB99) | (~v238(constB99)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31099,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB99) | (~v238(constB99)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(31100,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB99) | (~v238(constB99))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[31099, 31098])).
% 74.09/46.99 tff(31101,plain,
% 74.09/46.99 (~v238(constB99)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31100, 27632, 31097])).
% 74.09/46.99 tff(31102,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB99) | (~v237(constB99)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB99) | (~v237(constB99)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31103,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB99) | (~v237(constB99)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(31104,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB99) | (~v237(constB99))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[31103, 31102])).
% 74.09/46.99 tff(31105,plain,
% 74.09/46.99 (~v237(constB99)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31104, 27643, 31101])).
% 74.09/46.99 tff(31106,plain,
% 74.09/46.99 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB99)) | v223(constB99, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB99)) | v223(constB99, bitIndex2))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31107,plain,
% 74.09/46.99 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB99)) | v223(constB99, bitIndex2))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(31108,plain,
% 74.09/46.99 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB99)) | v223(constB99, bitIndex2)),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[31107, 31106])).
% 74.09/46.99 tff(31109,plain,
% 74.09/46.99 (~v224(constB99)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31108, 6371, 31089])).
% 74.09/46.99 tff(31110,plain,
% 74.09/46.99 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB99)) | v223(constB99, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB99)) | v223(constB99, bitIndex1))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31111,plain,
% 74.09/46.99 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB99)) | v223(constB99, bitIndex1))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(31112,plain,
% 74.09/46.99 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB99)) | v223(constB99, bitIndex1)),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[31111, 31110])).
% 74.09/46.99 tff(31113,plain,
% 74.09/46.99 (~v222(constB99)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31112, 6315, 31062])).
% 74.09/46.99 tff(31114,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB99) | v224(constB99) | (~v236(constB99)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB99) | v224(constB99) | (~v236(constB99)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31115,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB99) | v224(constB99) | (~v236(constB99)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(31116,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB99) | v224(constB99) | (~v236(constB99))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[31115, 31114])).
% 74.09/46.99 tff(31117,plain,
% 74.09/46.99 (~v236(constB99)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31116, 6385, 31113, 31109])).
% 74.09/46.99 tff(31118,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB99) | (~v232(constB99)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB99) | (~v232(constB99)))),
% 74.09/46.99 inference(rewrite,[status(thm)],[])).
% 74.09/46.99 tff(31119,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB99) | (~v232(constB99)))),
% 74.09/46.99 inference(quant_inst,[status(thm)],[])).
% 74.09/46.99 tff(31120,plain,
% 74.09/46.99 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB99) | (~v232(constB99))),
% 74.09/46.99 inference(modus_ponens,[status(thm)],[31119, 31118])).
% 74.09/46.99 tff(31121,plain,
% 74.09/46.99 (~v232(constB99)),
% 74.09/46.99 inference(unit_resolution,[status(thm)],[31120, 6396, 31117])).
% 74.09/46.99 tff(31122,plain,
% 74.09/46.99 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB99) | v232(constB99) | (~v248(constB99)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB99) | v232(constB99) | (~v248(constB99)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31123,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB99) | v232(constB99) | (~v248(constB99)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31124,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB99) | v232(constB99) | (~v248(constB99))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31123, 31122])).
% 74.09/47.00 tff(31125,plain,
% 74.09/47.00 (v237(constB99) | (~v248(constB99))),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31124, 6469, 31121])).
% 74.09/47.00 tff(31126,plain,
% 74.09/47.00 (~v248(constB99)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31125, 31105])).
% 74.09/47.00 tff(31127,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB99) | (~v244(constB99)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB99) | (~v244(constB99)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31128,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB99) | (~v244(constB99)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31129,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB99) | (~v244(constB99))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31128, 31127])).
% 74.09/47.00 tff(31130,plain,
% 74.09/47.00 (~v244(constB99)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31129, 6484, 31126])).
% 74.09/47.00 tff(31131,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB99) | (~v216(constB99, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB99) | (~v216(constB99, bitIndex1)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31132,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB99) | (~v216(constB99, bitIndex1)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31133,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB99) | (~v216(constB99, bitIndex1))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31132, 31131])).
% 74.09/47.00 tff(31134,plain,
% 74.09/47.00 (~v216(constB99, bitIndex1)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31133, 6495, 31130])).
% 74.09/47.00 tff(31135,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB99)) | v216(constB99, bitIndex1))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB99)) | v216(constB99, bitIndex1))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31136,plain,
% 74.09/47.00 ((v216(constB99, bitIndex1) | (~v254(constB99))) <=> ((~v254(constB99)) | v216(constB99, bitIndex1))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31137,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB99, bitIndex1) | (~v254(constB99)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB99)) | v216(constB99, bitIndex1)))),
% 74.09/47.00 inference(monotonicity,[status(thm)],[31136])).
% 74.09/47.00 tff(31138,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB99, bitIndex1) | (~v254(constB99)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB99)) | v216(constB99, bitIndex1))),
% 74.09/47.00 inference(transitivity,[status(thm)],[31137, 31135])).
% 74.09/47.00 tff(31139,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB99, bitIndex1) | (~v254(constB99)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31140,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB99)) | v216(constB99, bitIndex1)),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31139, 31138])).
% 74.09/47.00 tff(31141,plain,
% 74.09/47.00 (~v254(constB99)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31140, 6506, 31134])).
% 74.09/47.00 tff(31142,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB99) | (~v231(constB99)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB99) | (~v231(constB99)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31143,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB99) | (~v231(constB99)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31144,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB99) | (~v231(constB99))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31143, 31142])).
% 74.09/47.00 tff(31145,plain,
% 74.09/47.00 (~v231(constB99)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31144, 27687, 31121])).
% 74.09/47.00 tff(31146,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB99) | (~v221(constB99)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB99) | (~v221(constB99)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31147,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB99) | (~v221(constB99)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31148,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB99) | (~v221(constB99))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31147, 31146])).
% 74.09/47.00 tff(31149,plain,
% 74.09/47.00 (~v221(constB99)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31148, 21170, 31113])).
% 74.09/47.00 tff(31150,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB99) | v231(constB99) | (~v243(constB99)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB99) | v231(constB99) | (~v243(constB99)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31151,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB99) | v231(constB99) | (~v243(constB99)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31152,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB99) | v231(constB99) | (~v243(constB99))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31151, 31150])).
% 74.09/47.00 tff(31153,plain,
% 74.09/47.00 (v231(constB99) | (~v243(constB99))),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31152, 6542, 31149])).
% 74.09/47.00 tff(31154,plain,
% 74.09/47.00 (~v243(constB99)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31153, 31145])).
% 74.09/47.00 tff(31155,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB99) | v255(constB99))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB99) | v255(constB99))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31156,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB99) | v255(constB99))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31157,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB99) | v255(constB99)),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31156, 31155])).
% 74.09/47.00 tff(31158,plain,
% 74.09/47.00 (v255(constB99)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31157, 6553, 31154])).
% 74.09/47.00 tff(31159,plain,
% 74.09/47.00 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB99)) | (~v216(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB99)) | (~v216(constB99, bitIndex2)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31160,plain,
% 74.09/47.00 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB99)) | (~v216(constB99, bitIndex2)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31161,plain,
% 74.09/47.00 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB99)) | (~v216(constB99, bitIndex2))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31160, 31159])).
% 74.09/47.00 tff(31162,plain,
% 74.09/47.00 (~v216(constB99, bitIndex2)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31161, 6564, 31158])).
% 74.09/47.00 tff(31163,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB99, bitIndex2) | (~v215(constB99)) | v254(constB99))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB99, bitIndex2) | (~v215(constB99)) | v254(constB99))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31164,plain,
% 74.09/47.00 ((v216(constB99, bitIndex2) | v254(constB99) | (~v215(constB99))) <=> (v216(constB99, bitIndex2) | (~v215(constB99)) | v254(constB99))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31165,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB99, bitIndex2) | v254(constB99) | (~v215(constB99)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB99, bitIndex2) | (~v215(constB99)) | v254(constB99)))),
% 74.09/47.00 inference(monotonicity,[status(thm)],[31164])).
% 74.09/47.00 tff(31166,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB99, bitIndex2) | v254(constB99) | (~v215(constB99)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB99, bitIndex2) | (~v215(constB99)) | v254(constB99))),
% 74.09/47.00 inference(transitivity,[status(thm)],[31165, 31163])).
% 74.09/47.00 tff(31167,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB99, bitIndex2) | v254(constB99) | (~v215(constB99)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31168,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB99, bitIndex2) | (~v215(constB99)) | v254(constB99)),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31167, 31166])).
% 74.09/47.00 tff(31169,plain,
% 74.09/47.00 ((~v215(constB99)) | v254(constB99)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31168, 6578, 31162])).
% 74.09/47.00 tff(31170,plain,
% 74.09/47.00 (~v215(constB99)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31169, 31141])).
% 74.09/47.00 tff(31171,plain,
% 74.09/47.00 ($false),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31170, 30957])).
% 74.09/47.00 tff(31172,plain,(~(constB99 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.09/47.00 tff(31173,assumption,(constB159 = sK0_VarCurr), introduced(assumption)).
% 74.09/47.00 tff(31174,plain,
% 74.09/47.00 (v215(constB159) <=> v215(sK0_VarCurr)),
% 74.09/47.00 inference(monotonicity,[status(thm)],[31173])).
% 74.09/47.00 tff(31175,plain,
% 74.09/47.00 (v215(sK0_VarCurr) <=> v215(constB159)),
% 74.09/47.00 inference(symmetry,[status(thm)],[31174])).
% 74.09/47.00 tff(31176,plain,
% 74.09/47.00 (v215(constB159)),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[28, 31175])).
% 74.09/47.00 tff(31177,plain,
% 74.09/47.00 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB159, bitIndex1)) | (~v120(constB159)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB159, bitIndex1)) | (~v120(constB159)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31178,plain,
% 74.09/47.00 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB159, bitIndex1)) | (~v120(constB159)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31179,plain,
% 74.09/47.00 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB159, bitIndex1)) | (~v120(constB159))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31178, 31177])).
% 74.09/47.00 tff(31180,plain,
% 74.09/47.00 (~v90(constB159, bitIndex1)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31179, 1919, 23364])).
% 74.09/47.00 tff(31181,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB159, bitIndex1) | (~v88(constB159, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB159, bitIndex1) | (~v88(constB159, bitIndex1)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31182,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB159, bitIndex1) | (~v88(constB159, bitIndex1)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31183,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB159, bitIndex1) | (~v88(constB159, bitIndex1))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31182, 31181])).
% 74.09/47.00 tff(31184,plain,
% 74.09/47.00 (~v88(constB159, bitIndex1)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31183, 6234, 31180])).
% 74.09/47.00 tff(31185,plain,
% 74.09/47.00 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB159, bitIndex2)) | (~v120(constB159)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB159, bitIndex2)) | (~v120(constB159)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31186,plain,
% 74.09/47.00 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB159, bitIndex2)) | (~v120(constB159)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31187,plain,
% 74.09/47.00 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB159, bitIndex2)) | (~v120(constB159))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31186, 31185])).
% 74.09/47.00 tff(31188,plain,
% 74.09/47.00 (~v90(constB159, bitIndex2)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31187, 4525, 23364])).
% 74.09/47.00 tff(31189,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB159, bitIndex2) | (~v88(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB159, bitIndex2) | (~v88(constB159, bitIndex2)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31190,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB159, bitIndex2) | (~v88(constB159, bitIndex2)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31191,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB159, bitIndex2) | (~v88(constB159, bitIndex2))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31190, 31189])).
% 74.09/47.00 tff(31192,plain,
% 74.09/47.00 (~v88(constB159, bitIndex2)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31191, 20913, 31188])).
% 74.09/47.00 tff(31193,plain,
% 74.09/47.00 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB159, bitIndex0)) | v88(constB159, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB159, bitIndex0)) | v88(constB159, bitIndex0))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31194,plain,
% 74.09/47.00 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB159, bitIndex0)) | v88(constB159, bitIndex0))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31195,plain,
% 74.09/47.00 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB159, bitIndex0)) | v88(constB159, bitIndex0)),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31194, 31193])).
% 74.09/47.00 tff(31196,plain,
% 74.09/47.00 (v88(constB159, bitIndex0)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31195, 6074, 23411])).
% 74.09/47.00 tff(31197,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB159, bitIndex0)) | v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | v140(constB159))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB159, bitIndex0)) | v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | v140(constB159))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31198,plain,
% 74.09/47.00 ((v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | (~v88(constB159, bitIndex0)) | v140(constB159)) <=> ((~v88(constB159, bitIndex0)) | v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | v140(constB159))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31199,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | (~v88(constB159, bitIndex0)) | v140(constB159))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB159, bitIndex0)) | v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | v140(constB159)))),
% 74.09/47.00 inference(monotonicity,[status(thm)],[31198])).
% 74.09/47.00 tff(31200,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | (~v88(constB159, bitIndex0)) | v140(constB159))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB159, bitIndex0)) | v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | v140(constB159))),
% 74.09/47.00 inference(transitivity,[status(thm)],[31199, 31197])).
% 74.09/47.00 tff(31201,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | (~v88(constB159, bitIndex0)) | v140(constB159))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31202,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB159, bitIndex0)) | v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | v140(constB159)),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31201, 31200])).
% 74.09/47.00 tff(31203,plain,
% 74.09/47.00 (v88(constB159, bitIndex2) | v88(constB159, bitIndex1) | v140(constB159)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31202, 27506, 31196])).
% 74.09/47.00 tff(31204,plain,
% 74.09/47.00 (v140(constB159)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31203, 31192, 31184])).
% 74.09/47.00 tff(31205,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB159) | (~v140(constB159)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB159) | (~v140(constB159)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31206,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB159) | (~v140(constB159)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31207,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB159) | (~v140(constB159))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31206, 31205])).
% 74.09/47.00 tff(31208,plain,
% 74.09/47.00 (v200(constB159)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31207, 27520, 31204])).
% 74.09/47.00 tff(31209,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB159) | (~v200(constB159)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB159) | (~v200(constB159)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31210,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB159) | (~v200(constB159)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31211,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB159) | (~v200(constB159))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31210, 31209])).
% 74.09/47.00 tff(31212,plain,
% 74.09/47.00 (v199(constB159)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31211, 27531, 31208])).
% 74.09/47.00 tff(31213,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB159) | (~v199(constB159)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB159) | (~v199(constB159)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31214,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB159) | (~v199(constB159)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31215,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB159) | (~v199(constB159))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31214, 31213])).
% 74.09/47.00 tff(31216,plain,
% 74.09/47.00 (v198(constB159)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31215, 20970, 31212])).
% 74.09/47.00 tff(31217,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB159) | (~v198(constB159)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB159) | (~v198(constB159)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31218,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB159) | (~v198(constB159)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31219,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB159) | (~v198(constB159))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31218, 31217])).
% 74.09/47.00 tff(31220,plain,
% 74.09/47.00 (v197(constB159)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31219, 20995, 31216])).
% 74.09/47.00 tff(31221,plain,
% 74.09/47.00 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB159)) | (~v200(constB159)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB159)) | (~v200(constB159)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31222,plain,
% 74.09/47.00 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB159)) | (~v200(constB159)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31223,plain,
% 74.09/47.00 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB159)) | (~v200(constB159))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31222, 31221])).
% 74.09/47.00 tff(31224,plain,
% 74.09/47.00 (~v166(constB159)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31223, 27591, 31208])).
% 74.09/47.00 tff(31225,plain,
% 74.09/47.00 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB159) | v166(constB159) | (~v197(constB159)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB159) | v166(constB159) | (~v197(constB159)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31226,plain,
% 74.09/47.00 (((~v197(constB159)) | v166(constB159) | v241(constB159)) <=> (v241(constB159) | v166(constB159) | (~v197(constB159)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31227,plain,
% 74.09/47.00 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB159)) | v166(constB159) | v241(constB159))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB159) | v166(constB159) | (~v197(constB159))))),
% 74.09/47.00 inference(monotonicity,[status(thm)],[31226])).
% 74.09/47.00 tff(31228,plain,
% 74.09/47.00 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB159)) | v166(constB159) | v241(constB159))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB159) | v166(constB159) | (~v197(constB159)))),
% 74.09/47.00 inference(transitivity,[status(thm)],[31227, 31225])).
% 74.09/47.00 tff(31229,plain,
% 74.09/47.00 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB159)) | v166(constB159) | v241(constB159))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31230,plain,
% 74.09/47.00 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB159) | v166(constB159) | (~v197(constB159))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31229, 31228])).
% 74.09/47.00 tff(31231,plain,
% 74.09/47.00 (v241(constB159) | (~v197(constB159))),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31230, 6343, 31224])).
% 74.09/47.00 tff(31232,plain,
% 74.09/47.00 (v241(constB159)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31231, 31220])).
% 74.09/47.00 tff(31233,plain,
% 74.09/47.00 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB159)) | (~v223(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB159)) | (~v223(constB159, bitIndex2)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31234,plain,
% 74.09/47.00 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB159)) | (~v223(constB159, bitIndex2)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31235,plain,
% 74.09/47.00 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB159)) | (~v223(constB159, bitIndex2))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31234, 31233])).
% 74.09/47.00 tff(31236,plain,
% 74.09/47.00 (~v223(constB159, bitIndex2)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31235, 6357, 31232])).
% 74.09/47.00 tff(31237,plain,
% 74.09/47.00 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB159)) | v223(constB159, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB159)) | v223(constB159, bitIndex2))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31238,plain,
% 74.09/47.00 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB159)) | v223(constB159, bitIndex2))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31239,plain,
% 74.09/47.00 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB159)) | v223(constB159, bitIndex2)),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31238, 31237])).
% 74.09/47.00 tff(31240,plain,
% 74.09/47.00 (~v224(constB159)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31239, 6371, 31236])).
% 74.09/47.00 tff(31241,plain,
% 74.09/47.00 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB159)) | (~v199(constB159)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB159)) | (~v199(constB159)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31242,plain,
% 74.09/47.00 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB159)) | (~v199(constB159)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31243,plain,
% 74.09/47.00 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB159)) | (~v199(constB159))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31242, 31241])).
% 74.09/47.00 tff(31244,plain,
% 74.09/47.00 (~v183(constB159)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31243, 21034, 31212])).
% 74.09/47.00 tff(31245,plain,
% 74.09/47.00 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB159) | v183(constB159) | (~v197(constB159)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB159) | v183(constB159) | (~v197(constB159)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31246,plain,
% 74.09/47.00 (((~v197(constB159)) | v183(constB159) | v228(constB159)) <=> (v228(constB159) | v183(constB159) | (~v197(constB159)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31247,plain,
% 74.09/47.00 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB159)) | v183(constB159) | v228(constB159))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB159) | v183(constB159) | (~v197(constB159))))),
% 74.09/47.00 inference(monotonicity,[status(thm)],[31246])).
% 74.09/47.00 tff(31248,plain,
% 74.09/47.00 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB159)) | v183(constB159) | v228(constB159))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB159) | v183(constB159) | (~v197(constB159)))),
% 74.09/47.00 inference(transitivity,[status(thm)],[31247, 31245])).
% 74.09/47.00 tff(31249,plain,
% 74.09/47.00 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB159)) | v183(constB159) | v228(constB159))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31250,plain,
% 74.09/47.00 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB159) | v183(constB159) | (~v197(constB159))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31249, 31248])).
% 74.09/47.00 tff(31251,plain,
% 74.09/47.00 (v228(constB159)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31250, 6287, 31220, 31244])).
% 74.09/47.00 tff(31252,plain,
% 74.09/47.00 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB159)) | (~v223(constB159, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB159)) | (~v223(constB159, bitIndex1)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31253,plain,
% 74.09/47.00 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB159)) | (~v223(constB159, bitIndex1)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31254,plain,
% 74.09/47.00 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB159)) | (~v223(constB159, bitIndex1))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31253, 31252])).
% 74.09/47.00 tff(31255,plain,
% 74.09/47.00 (~v223(constB159, bitIndex1)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31254, 6301, 31251])).
% 74.09/47.00 tff(31256,plain,
% 74.09/47.00 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB159)) | v223(constB159, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB159)) | v223(constB159, bitIndex1))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31257,plain,
% 74.09/47.00 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB159)) | v223(constB159, bitIndex1))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31258,plain,
% 74.09/47.00 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB159)) | v223(constB159, bitIndex1)),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31257, 31256])).
% 74.09/47.00 tff(31259,plain,
% 74.09/47.00 (~v222(constB159)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31258, 6315, 31255])).
% 74.09/47.00 tff(31260,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB159) | v224(constB159) | (~v236(constB159)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB159) | v224(constB159) | (~v236(constB159)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31261,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB159) | v224(constB159) | (~v236(constB159)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31262,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB159) | v224(constB159) | (~v236(constB159))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31261, 31260])).
% 74.09/47.00 tff(31263,plain,
% 74.09/47.00 (~v236(constB159)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31262, 6385, 31259, 31240])).
% 74.09/47.00 tff(31264,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB159) | (~v232(constB159)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB159) | (~v232(constB159)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31265,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB159) | (~v232(constB159)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31266,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB159) | (~v232(constB159))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31265, 31264])).
% 74.09/47.00 tff(31267,plain,
% 74.09/47.00 (~v232(constB159)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31266, 6396, 31263])).
% 74.09/47.00 tff(31268,plain,
% 74.09/47.00 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB159)) | (~v201(constB159)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB159)) | (~v201(constB159)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31269,plain,
% 74.09/47.00 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB159)) | (~v201(constB159)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31270,plain,
% 74.09/47.00 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB159)) | (~v201(constB159))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31269, 31268])).
% 74.09/47.00 tff(31271,plain,
% 74.09/47.00 (~v201(constB159)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31270, 20984, 31216])).
% 74.09/47.00 tff(31272,plain,
% 74.09/47.00 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB159) | (~v197(constB159)) | v201(constB159))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB159) | (~v197(constB159)) | v201(constB159))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31273,plain,
% 74.09/47.00 (((~v197(constB159)) | v201(constB159) | v227(constB159)) <=> (v227(constB159) | (~v197(constB159)) | v201(constB159))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31274,plain,
% 74.09/47.00 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB159)) | v201(constB159) | v227(constB159))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB159) | (~v197(constB159)) | v201(constB159)))),
% 74.09/47.00 inference(monotonicity,[status(thm)],[31273])).
% 74.09/47.00 tff(31275,plain,
% 74.09/47.00 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB159)) | v201(constB159) | v227(constB159))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB159) | (~v197(constB159)) | v201(constB159))),
% 74.09/47.00 inference(transitivity,[status(thm)],[31274, 31272])).
% 74.09/47.00 tff(31276,plain,
% 74.09/47.00 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB159)) | v201(constB159) | v227(constB159))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31277,plain,
% 74.09/47.00 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB159) | (~v197(constB159)) | v201(constB159)),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31276, 31275])).
% 74.09/47.00 tff(31278,plain,
% 74.09/47.00 (v227(constB159)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31277, 21009, 31220, 31271])).
% 74.09/47.00 tff(31279,plain,
% 74.09/47.00 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB159)) | (~v223(constB159, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB159)) | (~v223(constB159, bitIndex0)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31280,plain,
% 74.09/47.00 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB159)) | (~v223(constB159, bitIndex0)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31281,plain,
% 74.09/47.00 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB159)) | (~v223(constB159, bitIndex0))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31280, 31279])).
% 74.09/47.00 tff(31282,plain,
% 74.09/47.00 (~v223(constB159, bitIndex0)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31281, 21023, 31278])).
% 74.09/47.00 tff(31283,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB159, bitIndex1) | v223(constB159, bitIndex0) | (~v229(constB159)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB159, bitIndex1) | v223(constB159, bitIndex0) | (~v229(constB159)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31284,plain,
% 74.09/47.00 ((v223(constB159, bitIndex0) | v223(constB159, bitIndex1) | (~v229(constB159))) <=> (v223(constB159, bitIndex1) | v223(constB159, bitIndex0) | (~v229(constB159)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31285,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB159, bitIndex0) | v223(constB159, bitIndex1) | (~v229(constB159)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB159, bitIndex1) | v223(constB159, bitIndex0) | (~v229(constB159))))),
% 74.09/47.00 inference(monotonicity,[status(thm)],[31284])).
% 74.09/47.00 tff(31286,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB159, bitIndex0) | v223(constB159, bitIndex1) | (~v229(constB159)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB159, bitIndex1) | v223(constB159, bitIndex0) | (~v229(constB159)))),
% 74.09/47.00 inference(transitivity,[status(thm)],[31285, 31283])).
% 74.09/47.00 tff(31287,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB159, bitIndex0) | v223(constB159, bitIndex1) | (~v229(constB159)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31288,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB159, bitIndex1) | v223(constB159, bitIndex0) | (~v229(constB159))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31287, 31286])).
% 74.09/47.00 tff(31289,plain,
% 74.09/47.00 (~v229(constB159)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31288, 21059, 31255, 31282])).
% 74.09/47.00 tff(31290,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB159) | (~v225(constB159)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB159) | (~v225(constB159)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31291,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB159) | (~v225(constB159)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31292,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB159) | (~v225(constB159))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31291, 31290])).
% 74.09/47.00 tff(31293,plain,
% 74.09/47.00 (~v225(constB159)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31292, 21073, 31289])).
% 74.09/47.00 tff(31294,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB159, bitIndex2) | v225(constB159) | (~v242(constB159)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB159, bitIndex2) | v225(constB159) | (~v242(constB159)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31295,plain,
% 74.09/47.00 ((v225(constB159) | v223(constB159, bitIndex2) | (~v242(constB159))) <=> (v223(constB159, bitIndex2) | v225(constB159) | (~v242(constB159)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31296,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB159) | v223(constB159, bitIndex2) | (~v242(constB159)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB159, bitIndex2) | v225(constB159) | (~v242(constB159))))),
% 74.09/47.00 inference(monotonicity,[status(thm)],[31295])).
% 74.09/47.00 tff(31297,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB159) | v223(constB159, bitIndex2) | (~v242(constB159)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB159, bitIndex2) | v225(constB159) | (~v242(constB159)))),
% 74.09/47.00 inference(transitivity,[status(thm)],[31296, 31294])).
% 74.09/47.00 tff(31298,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB159) | v223(constB159, bitIndex2) | (~v242(constB159)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31299,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB159, bitIndex2) | v225(constB159) | (~v242(constB159))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31298, 31297])).
% 74.09/47.00 tff(31300,plain,
% 74.09/47.00 (v225(constB159) | (~v242(constB159))),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31299, 27617, 31236])).
% 74.09/47.00 tff(31301,plain,
% 74.09/47.00 (~v242(constB159)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31300, 31293])).
% 74.09/47.00 tff(31302,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB159) | (~v238(constB159)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB159) | (~v238(constB159)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31303,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB159) | (~v238(constB159)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31304,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB159) | (~v238(constB159))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31303, 31302])).
% 74.09/47.00 tff(31305,plain,
% 74.09/47.00 (~v238(constB159)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31304, 27632, 31301])).
% 74.09/47.00 tff(31306,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB159) | (~v237(constB159)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB159) | (~v237(constB159)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31307,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB159) | (~v237(constB159)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31308,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB159) | (~v237(constB159))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31307, 31306])).
% 74.09/47.00 tff(31309,plain,
% 74.09/47.00 (~v237(constB159)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31308, 27643, 31305])).
% 74.09/47.00 tff(31310,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB159) | v232(constB159) | (~v248(constB159)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB159) | v232(constB159) | (~v248(constB159)))),
% 74.09/47.00 inference(rewrite,[status(thm)],[])).
% 74.09/47.00 tff(31311,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB159) | v232(constB159) | (~v248(constB159)))),
% 74.09/47.00 inference(quant_inst,[status(thm)],[])).
% 74.09/47.00 tff(31312,plain,
% 74.09/47.00 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB159) | v232(constB159) | (~v248(constB159))),
% 74.09/47.00 inference(modus_ponens,[status(thm)],[31311, 31310])).
% 74.09/47.00 tff(31313,plain,
% 74.09/47.00 (~v248(constB159)),
% 74.09/47.00 inference(unit_resolution,[status(thm)],[31312, 6469, 31309, 31267])).
% 74.09/47.00 tff(31314,plain,
% 74.09/47.00 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB159) | (~v244(constB159)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB159) | (~v244(constB159)))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31315,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB159) | (~v244(constB159)))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31316,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB159) | (~v244(constB159))),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31315, 31314])).
% 74.09/47.01 tff(31317,plain,
% 74.09/47.01 (~v244(constB159)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31316, 6484, 31313])).
% 74.09/47.01 tff(31318,plain,
% 74.09/47.01 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB159) | (~v216(constB159, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB159) | (~v216(constB159, bitIndex1)))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31319,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB159) | (~v216(constB159, bitIndex1)))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31320,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB159) | (~v216(constB159, bitIndex1))),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31319, 31318])).
% 74.09/47.01 tff(31321,plain,
% 74.09/47.01 (~v216(constB159, bitIndex1)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31320, 6495, 31317])).
% 74.09/47.01 tff(31322,plain,
% 74.09/47.01 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB159)) | v216(constB159, bitIndex1))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB159)) | v216(constB159, bitIndex1))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31323,plain,
% 74.09/47.01 ((v216(constB159, bitIndex1) | (~v254(constB159))) <=> ((~v254(constB159)) | v216(constB159, bitIndex1))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31324,plain,
% 74.09/47.01 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB159, bitIndex1) | (~v254(constB159)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB159)) | v216(constB159, bitIndex1)))),
% 74.09/47.01 inference(monotonicity,[status(thm)],[31323])).
% 74.09/47.01 tff(31325,plain,
% 74.09/47.01 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB159, bitIndex1) | (~v254(constB159)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB159)) | v216(constB159, bitIndex1))),
% 74.09/47.01 inference(transitivity,[status(thm)],[31324, 31322])).
% 74.09/47.01 tff(31326,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB159, bitIndex1) | (~v254(constB159)))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31327,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB159)) | v216(constB159, bitIndex1)),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31326, 31325])).
% 74.09/47.01 tff(31328,plain,
% 74.09/47.01 (~v254(constB159)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31327, 6506, 31321])).
% 74.09/47.01 tff(31329,plain,
% 74.09/47.01 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB159) | (~v231(constB159)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB159) | (~v231(constB159)))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31330,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB159) | (~v231(constB159)))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31331,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB159) | (~v231(constB159))),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31330, 31329])).
% 74.09/47.01 tff(31332,plain,
% 74.09/47.01 (~v231(constB159)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31331, 27687, 31267])).
% 74.09/47.01 tff(31333,plain,
% 74.09/47.01 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB159) | (~v221(constB159)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB159) | (~v221(constB159)))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31334,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB159) | (~v221(constB159)))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31335,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB159) | (~v221(constB159))),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31334, 31333])).
% 74.09/47.01 tff(31336,plain,
% 74.09/47.01 (~v221(constB159)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31335, 21170, 31259])).
% 74.09/47.01 tff(31337,plain,
% 74.09/47.01 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB159) | v231(constB159) | (~v243(constB159)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB159) | v231(constB159) | (~v243(constB159)))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31338,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB159) | v231(constB159) | (~v243(constB159)))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31339,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB159) | v231(constB159) | (~v243(constB159))),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31338, 31337])).
% 74.09/47.01 tff(31340,plain,
% 74.09/47.01 (v231(constB159) | (~v243(constB159))),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31339, 6542, 31336])).
% 74.09/47.01 tff(31341,plain,
% 74.09/47.01 (~v243(constB159)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31340, 31332])).
% 74.09/47.01 tff(31342,plain,
% 74.09/47.01 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB159) | v255(constB159))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB159) | v255(constB159))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31343,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB159) | v255(constB159))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31344,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB159) | v255(constB159)),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31343, 31342])).
% 74.09/47.01 tff(31345,plain,
% 74.09/47.01 (v255(constB159)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31344, 6553, 31341])).
% 74.09/47.01 tff(31346,plain,
% 74.09/47.01 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB159)) | (~v216(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB159)) | (~v216(constB159, bitIndex2)))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31347,plain,
% 74.09/47.01 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB159)) | (~v216(constB159, bitIndex2)))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31348,plain,
% 74.09/47.01 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB159)) | (~v216(constB159, bitIndex2))),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31347, 31346])).
% 74.09/47.01 tff(31349,plain,
% 74.09/47.01 (~v216(constB159, bitIndex2)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31348, 6564, 31345])).
% 74.09/47.01 tff(31350,plain,
% 74.09/47.01 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB159, bitIndex2) | v254(constB159) | (~v215(constB159)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB159, bitIndex2) | v254(constB159) | (~v215(constB159)))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31351,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB159, bitIndex2) | v254(constB159) | (~v215(constB159)))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31352,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB159, bitIndex2) | v254(constB159) | (~v215(constB159))),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31351, 31350])).
% 74.09/47.01 tff(31353,plain,
% 74.09/47.01 (v254(constB159) | (~v215(constB159))),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31352, 6578, 31349])).
% 74.09/47.01 tff(31354,plain,
% 74.09/47.01 (~v215(constB159)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31353, 31328])).
% 74.09/47.01 tff(31355,plain,
% 74.09/47.01 ($false),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31354, 31176])).
% 74.09/47.01 tff(31356,plain,(~(constB159 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.09/47.01 tff(31357,assumption,(constB115 = sK0_VarCurr), introduced(assumption)).
% 74.09/47.01 tff(31358,plain,
% 74.09/47.01 (v215(constB115) <=> v215(sK0_VarCurr)),
% 74.09/47.01 inference(monotonicity,[status(thm)],[31357])).
% 74.09/47.01 tff(31359,plain,
% 74.09/47.01 (v215(sK0_VarCurr) <=> v215(constB115)),
% 74.09/47.01 inference(symmetry,[status(thm)],[31358])).
% 74.09/47.01 tff(31360,plain,
% 74.09/47.01 (v215(constB115)),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[28, 31359])).
% 74.09/47.01 tff(31361,plain,
% 74.09/47.01 (v117(constB113)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[17020, 976, 17016])).
% 74.09/47.01 tff(31362,plain,
% 74.09/47.01 (v116(constB113)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[17024, 254, 31361])).
% 74.09/47.01 tff(31363,plain,
% 74.09/47.01 (v115(constB113)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[17028, 265, 31362])).
% 74.09/47.01 tff(31364,plain,
% 74.09/47.01 (v114(constB113)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[17032, 276, 31363])).
% 74.09/47.01 tff(31365,plain,
% 74.09/47.01 (v113(constB113)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[17036, 287, 31364])).
% 74.09/47.01 tff(31366,plain,
% 74.09/47.01 (v112(constB113)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[17045, 31365])).
% 74.09/47.01 tff(31367,plain,
% 74.09/47.01 (v108(constB113)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[17049, 210, 31366])).
% 74.09/47.01 tff(31368,plain,
% 74.09/47.01 (v110(constB114)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[17060, 31367])).
% 74.09/47.01 tff(31369,plain,
% 74.09/47.01 (v100(constB114)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[17086, 31368])).
% 74.09/47.01 tff(31370,plain,
% 74.09/47.01 (~v130(constB113, bitIndex2)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[17090, 1059, 17016])).
% 74.09/47.01 tff(31371,plain,
% 74.09/47.01 (~v127(constB113, bitIndex2)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[17098, 31370])).
% 74.09/47.01 tff(31372,plain,
% 74.09/47.01 (~v129(constB114, bitIndex2)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[17103, 31371])).
% 74.09/47.01 tff(31373,plain,
% 74.09/47.01 ((~v90(constB114, bitIndex2)) | (~v100(constB114))),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[17110, 503, 31372])).
% 74.09/47.01 tff(31374,plain,
% 74.09/47.01 (~v90(constB114, bitIndex2)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31373, 31369])).
% 74.09/47.01 tff(31375,plain,
% 74.09/47.01 (~v90(constB115, bitIndex2)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[17138, 31374])).
% 74.09/47.01 tff(31376,plain,
% 74.09/47.01 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB115, bitIndex2) | (~v88(constB115, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB115, bitIndex2) | (~v88(constB115, bitIndex2)))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31377,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB115, bitIndex2) | (~v88(constB115, bitIndex2)))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31378,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB115, bitIndex2) | (~v88(constB115, bitIndex2))),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31377, 31376])).
% 74.09/47.01 tff(31379,plain,
% 74.09/47.01 (~v88(constB115, bitIndex2)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31378, 20913, 31375])).
% 74.09/47.01 tff(31380,plain,
% 74.09/47.01 (v130(constB113, bitIndex1)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[17173, 1121, 17016])).
% 74.09/47.01 tff(31381,plain,
% 74.09/47.01 (v127(constB113, bitIndex1)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[17178, 31380])).
% 74.09/47.01 tff(31382,plain,
% 74.09/47.01 (v129(constB114, bitIndex1)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[17183, 31381])).
% 74.09/47.01 tff(31383,plain,
% 74.09/47.01 (v90(constB114, bitIndex1) | (~v100(constB114))),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[17190, 854, 31382])).
% 74.09/47.01 tff(31384,plain,
% 74.09/47.01 (v90(constB114, bitIndex1)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31383, 31369])).
% 74.09/47.01 tff(31385,plain,
% 74.09/47.01 (v90(constB115, bitIndex1)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[17200, 31384])).
% 74.09/47.01 tff(31386,plain,
% 74.09/47.01 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB115, bitIndex1)) | v88(constB115, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB115, bitIndex1)) | v88(constB115, bitIndex1))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31387,plain,
% 74.09/47.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB115, bitIndex1)) | v88(constB115, bitIndex1))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31388,plain,
% 74.09/47.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB115, bitIndex1)) | v88(constB115, bitIndex1)),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31387, 31386])).
% 74.09/47.01 tff(31389,plain,
% 74.09/47.01 (v88(constB115, bitIndex1)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31388, 20927, 31385])).
% 74.09/47.01 tff(31390,plain,
% 74.09/47.01 (v130(constB113, bitIndex0)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[17142, 1162, 17016])).
% 74.09/47.01 tff(31391,plain,
% 74.09/47.01 (v127(constB113, bitIndex0)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[17147, 31390])).
% 74.09/47.01 tff(31392,plain,
% 74.09/47.01 (v129(constB114, bitIndex0)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[17152, 31391])).
% 74.09/47.01 tff(31393,plain,
% 74.09/47.01 (v90(constB114, bitIndex0) | (~v100(constB114))),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[17159, 401, 31392])).
% 74.09/47.01 tff(31394,plain,
% 74.09/47.01 (v90(constB114, bitIndex0)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31393, 31369])).
% 74.09/47.01 tff(31395,plain,
% 74.09/47.01 (v90(constB115, bitIndex0)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[17169, 31394])).
% 74.09/47.01 tff(31396,plain,
% 74.09/47.01 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB115, bitIndex0)) | v88(constB115, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB115, bitIndex0)) | v88(constB115, bitIndex0))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31397,plain,
% 74.09/47.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB115, bitIndex0)) | v88(constB115, bitIndex0))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31398,plain,
% 74.09/47.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB115, bitIndex0)) | v88(constB115, bitIndex0)),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31397, 31396])).
% 74.09/47.01 tff(31399,plain,
% 74.09/47.01 (v88(constB115, bitIndex0)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31398, 6074, 31395])).
% 74.09/47.01 tff(31400,plain,
% 74.09/47.01 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v141(constB115) | (~v88(constB115, bitIndex0)) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex2))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v141(constB115) | (~v88(constB115, bitIndex0)) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex2))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31401,plain,
% 74.09/47.01 ((v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0)) | v141(constB115)) <=> (v141(constB115) | (~v88(constB115, bitIndex0)) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex2))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31402,plain,
% 74.09/47.01 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0)) | v141(constB115))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v141(constB115) | (~v88(constB115, bitIndex0)) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex2)))),
% 74.09/47.01 inference(monotonicity,[status(thm)],[31401])).
% 74.09/47.01 tff(31403,plain,
% 74.09/47.01 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0)) | v141(constB115))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v141(constB115) | (~v88(constB115, bitIndex0)) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex2))),
% 74.09/47.01 inference(transitivity,[status(thm)],[31402, 31400])).
% 74.09/47.01 tff(31404,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0)) | v141(constB115))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31405,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v141(constB115) | (~v88(constB115, bitIndex0)) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex2)),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31404, 31403])).
% 74.09/47.01 tff(31406,plain,
% 74.09/47.01 (v141(constB115)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31405, 20945, 31399, 31389, 31379])).
% 74.09/47.01 tff(31407,plain,
% 74.09/47.01 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB115) | (~v141(constB115)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB115) | (~v141(constB115)))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31408,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB115) | (~v141(constB115)))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31409,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB115) | (~v141(constB115))),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31408, 31407])).
% 74.09/47.01 tff(31410,plain,
% 74.09/47.01 (v199(constB115)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31409, 20959, 31406])).
% 74.09/47.01 tff(31411,plain,
% 74.09/47.01 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB115) | (~v199(constB115)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB115) | (~v199(constB115)))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31412,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB115) | (~v199(constB115)))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31413,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB115) | (~v199(constB115))),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31412, 31411])).
% 74.09/47.01 tff(31414,plain,
% 74.09/47.01 (v198(constB115)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31413, 20970, 31410])).
% 74.09/47.01 tff(31415,plain,
% 74.09/47.01 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB115)) | (~v201(constB115)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB115)) | (~v201(constB115)))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31416,plain,
% 74.09/47.01 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB115)) | (~v201(constB115)))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31417,plain,
% 74.09/47.01 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB115)) | (~v201(constB115))),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31416, 31415])).
% 74.09/47.01 tff(31418,plain,
% 74.09/47.01 (~v201(constB115)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31417, 20984, 31414])).
% 74.09/47.01 tff(31419,plain,
% 74.09/47.01 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB115) | (~v198(constB115)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB115) | (~v198(constB115)))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31420,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB115) | (~v198(constB115)))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31421,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB115) | (~v198(constB115))),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31420, 31419])).
% 74.09/47.01 tff(31422,plain,
% 74.09/47.01 (v197(constB115)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31421, 20995, 31414])).
% 74.09/47.01 tff(31423,plain,
% 74.09/47.01 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB115) | v201(constB115) | (~v197(constB115)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB115) | v201(constB115) | (~v197(constB115)))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31424,plain,
% 74.09/47.01 (((~v197(constB115)) | v201(constB115) | v227(constB115)) <=> (v227(constB115) | v201(constB115) | (~v197(constB115)))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31425,plain,
% 74.09/47.01 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB115)) | v201(constB115) | v227(constB115))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB115) | v201(constB115) | (~v197(constB115))))),
% 74.09/47.01 inference(monotonicity,[status(thm)],[31424])).
% 74.09/47.01 tff(31426,plain,
% 74.09/47.01 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB115)) | v201(constB115) | v227(constB115))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB115) | v201(constB115) | (~v197(constB115)))),
% 74.09/47.01 inference(transitivity,[status(thm)],[31425, 31423])).
% 74.09/47.01 tff(31427,plain,
% 74.09/47.01 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB115)) | v201(constB115) | v227(constB115))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31428,plain,
% 74.09/47.01 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB115) | v201(constB115) | (~v197(constB115))),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31427, 31426])).
% 74.09/47.01 tff(31429,plain,
% 74.09/47.01 (v227(constB115)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31428, 21009, 31422, 31418])).
% 74.09/47.01 tff(31430,plain,
% 74.09/47.01 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB115)) | (~v223(constB115, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB115)) | (~v223(constB115, bitIndex0)))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31431,plain,
% 74.09/47.01 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB115)) | (~v223(constB115, bitIndex0)))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31432,plain,
% 74.09/47.01 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB115)) | (~v223(constB115, bitIndex0))),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31431, 31430])).
% 74.09/47.01 tff(31433,plain,
% 74.09/47.01 (~v223(constB115, bitIndex0)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31432, 21023, 31429])).
% 74.09/47.01 tff(31434,plain,
% 74.09/47.01 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB115)) | (~v199(constB115)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB115)) | (~v199(constB115)))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31435,plain,
% 74.09/47.01 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB115)) | (~v199(constB115)))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31436,plain,
% 74.09/47.01 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB115)) | (~v199(constB115))),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31435, 31434])).
% 74.09/47.01 tff(31437,plain,
% 74.09/47.01 (~v183(constB115)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31436, 21034, 31410])).
% 74.09/47.01 tff(31438,plain,
% 74.09/47.01 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB115) | (~v197(constB115)) | v183(constB115))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB115) | (~v197(constB115)) | v183(constB115))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31439,plain,
% 74.09/47.01 (((~v197(constB115)) | v183(constB115) | v228(constB115)) <=> (v228(constB115) | (~v197(constB115)) | v183(constB115))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31440,plain,
% 74.09/47.01 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB115)) | v183(constB115) | v228(constB115))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB115) | (~v197(constB115)) | v183(constB115)))),
% 74.09/47.01 inference(monotonicity,[status(thm)],[31439])).
% 74.09/47.01 tff(31441,plain,
% 74.09/47.01 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB115)) | v183(constB115) | v228(constB115))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB115) | (~v197(constB115)) | v183(constB115))),
% 74.09/47.01 inference(transitivity,[status(thm)],[31440, 31438])).
% 74.09/47.01 tff(31442,plain,
% 74.09/47.01 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB115)) | v183(constB115) | v228(constB115))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31443,plain,
% 74.09/47.01 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB115) | (~v197(constB115)) | v183(constB115)),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31442, 31441])).
% 74.09/47.01 tff(31444,plain,
% 74.09/47.01 (v228(constB115)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31443, 6287, 31422, 31437])).
% 74.09/47.01 tff(31445,plain,
% 74.09/47.01 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB115)) | (~v223(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB115)) | (~v223(constB115, bitIndex1)))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31446,plain,
% 74.09/47.01 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB115)) | (~v223(constB115, bitIndex1)))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31447,plain,
% 74.09/47.01 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB115)) | (~v223(constB115, bitIndex1))),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31446, 31445])).
% 74.09/47.01 tff(31448,plain,
% 74.09/47.01 (~v223(constB115, bitIndex1)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31447, 6301, 31444])).
% 74.09/47.01 tff(31449,plain,
% 74.09/47.01 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB115, bitIndex0) | (~v229(constB115)) | v223(constB115, bitIndex1))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB115, bitIndex0) | (~v229(constB115)) | v223(constB115, bitIndex1))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31450,plain,
% 74.09/47.01 ((v223(constB115, bitIndex0) | v223(constB115, bitIndex1) | (~v229(constB115))) <=> (v223(constB115, bitIndex0) | (~v229(constB115)) | v223(constB115, bitIndex1))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31451,plain,
% 74.09/47.01 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB115, bitIndex0) | v223(constB115, bitIndex1) | (~v229(constB115)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB115, bitIndex0) | (~v229(constB115)) | v223(constB115, bitIndex1)))),
% 74.09/47.01 inference(monotonicity,[status(thm)],[31450])).
% 74.09/47.01 tff(31452,plain,
% 74.09/47.01 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB115, bitIndex0) | v223(constB115, bitIndex1) | (~v229(constB115)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB115, bitIndex0) | (~v229(constB115)) | v223(constB115, bitIndex1))),
% 74.09/47.01 inference(transitivity,[status(thm)],[31451, 31449])).
% 74.09/47.01 tff(31453,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB115, bitIndex0) | v223(constB115, bitIndex1) | (~v229(constB115)))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31454,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB115, bitIndex0) | (~v229(constB115)) | v223(constB115, bitIndex1)),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31453, 31452])).
% 74.09/47.01 tff(31455,plain,
% 74.09/47.01 (~v229(constB115)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31454, 21059, 31448, 31433])).
% 74.09/47.01 tff(31456,plain,
% 74.09/47.01 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB115) | (~v225(constB115)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB115) | (~v225(constB115)))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31457,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB115) | (~v225(constB115)))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31458,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB115) | (~v225(constB115))),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31457, 31456])).
% 74.09/47.01 tff(31459,plain,
% 74.09/47.01 (~v225(constB115)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31458, 21073, 31455])).
% 74.09/47.01 tff(31460,plain,
% 74.09/47.01 (((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB115) | (~v224(constB115)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB115) | (~v224(constB115)))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31461,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB115) | (~v224(constB115)))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31462,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB115) | (~v224(constB115))),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31461, 31460])).
% 74.09/47.01 tff(31463,plain,
% 74.09/47.01 (~v224(constB115)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31462, 21084, 31459])).
% 74.09/47.01 tff(31464,plain,
% 74.09/47.01 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB115)) | v223(constB115, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB115)) | v223(constB115, bitIndex1))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31465,plain,
% 74.09/47.01 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB115)) | v223(constB115, bitIndex1))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31466,plain,
% 74.09/47.01 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB115)) | v223(constB115, bitIndex1)),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31465, 31464])).
% 74.09/47.01 tff(31467,plain,
% 74.09/47.01 (~v222(constB115)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31466, 6315, 31448])).
% 74.09/47.01 tff(31468,plain,
% 74.09/47.01 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB115) | v224(constB115) | (~v236(constB115)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB115) | v224(constB115) | (~v236(constB115)))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31469,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB115) | v224(constB115) | (~v236(constB115)))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31470,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB115) | v224(constB115) | (~v236(constB115))),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31469, 31468])).
% 74.09/47.01 tff(31471,plain,
% 74.09/47.01 (v224(constB115) | (~v236(constB115))),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31470, 6385, 31467])).
% 74.09/47.01 tff(31472,plain,
% 74.09/47.01 (~v236(constB115)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31471, 31463])).
% 74.09/47.01 tff(31473,plain,
% 74.09/47.01 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB115) | (~v232(constB115)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB115) | (~v232(constB115)))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31474,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB115) | (~v232(constB115)))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31475,plain,
% 74.09/47.01 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB115) | (~v232(constB115))),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31474, 31473])).
% 74.09/47.01 tff(31476,plain,
% 74.09/47.01 (~v232(constB115)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31475, 6396, 31472])).
% 74.09/47.01 tff(31477,plain,
% 74.09/47.01 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB115, bitIndex1)) | (~v140(constB115)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB115, bitIndex1)) | (~v140(constB115)))),
% 74.09/47.01 inference(rewrite,[status(thm)],[])).
% 74.09/47.01 tff(31478,plain,
% 74.09/47.01 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB115, bitIndex1)) | (~v140(constB115)))),
% 74.09/47.01 inference(quant_inst,[status(thm)],[])).
% 74.09/47.01 tff(31479,plain,
% 74.09/47.01 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB115, bitIndex1)) | (~v140(constB115))),
% 74.09/47.01 inference(modus_ponens,[status(thm)],[31478, 31477])).
% 74.09/47.01 tff(31480,plain,
% 74.09/47.01 (~v140(constB115)),
% 74.09/47.01 inference(unit_resolution,[status(thm)],[31479, 21108, 31389])).
% 74.09/47.01 tff(31481,plain,
% 74.09/47.01 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB115)) | (~v88(constB115, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB115)) | (~v88(constB115, bitIndex0)))),
% 74.19/47.01 inference(rewrite,[status(thm)],[])).
% 74.19/47.01 tff(31482,plain,
% 74.19/47.01 (((~v88(constB115, bitIndex0)) | (~v139(constB115))) <=> ((~v139(constB115)) | (~v88(constB115, bitIndex0)))),
% 74.19/47.01 inference(rewrite,[status(thm)],[])).
% 74.19/47.01 tff(31483,plain,
% 74.19/47.01 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB115, bitIndex0)) | (~v139(constB115)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB115)) | (~v88(constB115, bitIndex0))))),
% 74.19/47.01 inference(monotonicity,[status(thm)],[31482])).
% 74.19/47.01 tff(31484,plain,
% 74.19/47.01 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB115, bitIndex0)) | (~v139(constB115)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB115)) | (~v88(constB115, bitIndex0)))),
% 74.19/47.01 inference(transitivity,[status(thm)],[31483, 31481])).
% 74.19/47.01 tff(31485,plain,
% 74.19/47.01 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB115, bitIndex0)) | (~v139(constB115)))),
% 74.19/47.01 inference(quant_inst,[status(thm)],[])).
% 74.19/47.01 tff(31486,plain,
% 74.19/47.01 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB115)) | (~v88(constB115, bitIndex0))),
% 74.19/47.01 inference(modus_ponens,[status(thm)],[31485, 31484])).
% 74.19/47.01 tff(31487,plain,
% 74.19/47.01 (~v139(constB115)),
% 74.19/47.01 inference(unit_resolution,[status(thm)],[31486, 6085, 31399])).
% 74.19/47.01 tff(31488,plain,
% 74.19/47.01 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB115)) | v140(constB115) | v139(constB115))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB115)) | v140(constB115) | v139(constB115))),
% 74.19/47.01 inference(rewrite,[status(thm)],[])).
% 74.19/47.01 tff(31489,plain,
% 74.19/47.01 ((v140(constB115) | v139(constB115) | (~v148(constB115))) <=> ((~v148(constB115)) | v140(constB115) | v139(constB115))),
% 74.19/47.01 inference(rewrite,[status(thm)],[])).
% 74.19/47.01 tff(31490,plain,
% 74.19/47.01 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB115) | v139(constB115) | (~v148(constB115)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB115)) | v140(constB115) | v139(constB115)))),
% 74.19/47.01 inference(monotonicity,[status(thm)],[31489])).
% 74.19/47.01 tff(31491,plain,
% 74.19/47.01 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB115) | v139(constB115) | (~v148(constB115)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB115)) | v140(constB115) | v139(constB115))),
% 74.19/47.01 inference(transitivity,[status(thm)],[31490, 31488])).
% 74.19/47.01 tff(31492,plain,
% 74.19/47.01 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB115) | v139(constB115) | (~v148(constB115)))),
% 74.19/47.01 inference(quant_inst,[status(thm)],[])).
% 74.19/47.01 tff(31493,plain,
% 74.19/47.01 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB115)) | v140(constB115) | v139(constB115)),
% 74.19/47.01 inference(modus_ponens,[status(thm)],[31492, 31491])).
% 74.19/47.01 tff(31494,plain,
% 74.19/47.01 (~v148(constB115)),
% 74.19/47.01 inference(unit_resolution,[status(thm)],[31493, 6410, 31487, 31480])).
% 74.19/47.01 tff(31495,plain,
% 74.19/47.01 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB115) | v148(constB115) | (~v197(constB115)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB115) | v148(constB115) | (~v197(constB115)))),
% 74.19/47.01 inference(rewrite,[status(thm)],[])).
% 74.19/47.01 tff(31496,plain,
% 74.19/47.01 ((v148(constB115) | (~v197(constB115)) | v252(constB115)) <=> (v252(constB115) | v148(constB115) | (~v197(constB115)))),
% 74.19/47.01 inference(rewrite,[status(thm)],[])).
% 74.19/47.01 tff(31497,plain,
% 74.19/47.01 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB115) | (~v197(constB115)) | v252(constB115))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB115) | v148(constB115) | (~v197(constB115))))),
% 74.19/47.01 inference(monotonicity,[status(thm)],[31496])).
% 74.19/47.01 tff(31498,plain,
% 74.19/47.01 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB115) | (~v197(constB115)) | v252(constB115))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB115) | v148(constB115) | (~v197(constB115)))),
% 74.19/47.01 inference(transitivity,[status(thm)],[31497, 31495])).
% 74.19/47.01 tff(31499,plain,
% 74.19/47.01 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB115) | (~v197(constB115)) | v252(constB115))),
% 74.19/47.01 inference(quant_inst,[status(thm)],[])).
% 74.19/47.01 tff(31500,plain,
% 74.19/47.01 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB115) | v148(constB115) | (~v197(constB115))),
% 74.19/47.01 inference(modus_ponens,[status(thm)],[31499, 31498])).
% 74.19/47.01 tff(31501,plain,
% 74.19/47.01 (v252(constB115) | (~v197(constB115))),
% 74.19/47.01 inference(unit_resolution,[status(thm)],[31500, 6427, 31494])).
% 74.19/47.01 tff(31502,plain,
% 74.19/47.01 (v252(constB115)),
% 74.19/47.01 inference(unit_resolution,[status(thm)],[31501, 31422])).
% 74.19/47.01 tff(31503,plain,
% 74.19/47.01 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB115)) | (~v223(constB115, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB115)) | (~v223(constB115, bitIndex3)))),
% 74.19/47.01 inference(rewrite,[status(thm)],[])).
% 74.19/47.01 tff(31504,plain,
% 74.19/47.01 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB115)) | (~v223(constB115, bitIndex3)))),
% 74.19/47.01 inference(quant_inst,[status(thm)],[])).
% 74.19/47.01 tff(31505,plain,
% 74.19/47.01 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB115)) | (~v223(constB115, bitIndex3))),
% 74.19/47.01 inference(modus_ponens,[status(thm)],[31504, 31503])).
% 74.19/47.01 tff(31506,plain,
% 74.19/47.01 (~v223(constB115, bitIndex3)),
% 74.19/47.01 inference(unit_resolution,[status(thm)],[31505, 6441, 31502])).
% 74.19/47.01 tff(31507,plain,
% 74.19/47.01 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB115)) | v223(constB115, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB115)) | v223(constB115, bitIndex3))),
% 74.19/47.01 inference(rewrite,[status(thm)],[])).
% 74.19/47.01 tff(31508,plain,
% 74.19/47.01 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB115)) | v223(constB115, bitIndex3))),
% 74.19/47.01 inference(quant_inst,[status(thm)],[])).
% 74.19/47.01 tff(31509,plain,
% 74.19/47.01 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB115)) | v223(constB115, bitIndex3)),
% 74.19/47.01 inference(modus_ponens,[status(thm)],[31508, 31507])).
% 74.19/47.01 tff(31510,plain,
% 74.19/47.01 (~v237(constB115)),
% 74.19/47.01 inference(unit_resolution,[status(thm)],[31509, 6455, 31506])).
% 74.19/47.01 tff(31511,plain,
% 74.19/47.01 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v232(constB115) | v237(constB115) | (~v248(constB115)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB115) | v237(constB115) | (~v248(constB115)))),
% 74.19/47.01 inference(rewrite,[status(thm)],[])).
% 74.19/47.01 tff(31512,plain,
% 74.19/47.01 ((v237(constB115) | v232(constB115) | (~v248(constB115))) <=> (v232(constB115) | v237(constB115) | (~v248(constB115)))),
% 74.19/47.01 inference(rewrite,[status(thm)],[])).
% 74.19/47.01 tff(31513,plain,
% 74.19/47.01 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB115) | v232(constB115) | (~v248(constB115)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v232(constB115) | v237(constB115) | (~v248(constB115))))),
% 74.19/47.01 inference(monotonicity,[status(thm)],[31512])).
% 74.19/47.01 tff(31514,plain,
% 74.19/47.01 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB115) | v232(constB115) | (~v248(constB115)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB115) | v237(constB115) | (~v248(constB115)))),
% 74.19/47.01 inference(transitivity,[status(thm)],[31513, 31511])).
% 74.19/47.01 tff(31515,plain,
% 74.19/47.01 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB115) | v232(constB115) | (~v248(constB115)))),
% 74.19/47.01 inference(quant_inst,[status(thm)],[])).
% 74.19/47.01 tff(31516,plain,
% 74.19/47.01 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB115) | v237(constB115) | (~v248(constB115))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31515, 31514])).
% 74.19/47.02 tff(31517,plain,
% 74.19/47.02 (v232(constB115) | (~v248(constB115))),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31516, 6469, 31510])).
% 74.19/47.02 tff(31518,plain,
% 74.19/47.02 (~v248(constB115)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31517, 31476])).
% 74.19/47.02 tff(31519,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB115) | (~v244(constB115)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB115) | (~v244(constB115)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31520,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB115) | (~v244(constB115)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31521,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB115) | (~v244(constB115))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31520, 31519])).
% 74.19/47.02 tff(31522,plain,
% 74.19/47.02 (~v244(constB115)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31521, 6484, 31518])).
% 74.19/47.02 tff(31523,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB115) | (~v216(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB115) | (~v216(constB115, bitIndex1)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31524,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB115) | (~v216(constB115, bitIndex1)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31525,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB115) | (~v216(constB115, bitIndex1))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31524, 31523])).
% 74.19/47.02 tff(31526,plain,
% 74.19/47.02 (~v216(constB115, bitIndex1)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31525, 6495, 31522])).
% 74.19/47.02 tff(31527,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB115, bitIndex1) | (~v254(constB115)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB115, bitIndex1) | (~v254(constB115)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31528,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB115, bitIndex1) | (~v254(constB115)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31529,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB115, bitIndex1) | (~v254(constB115))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31528, 31527])).
% 74.19/47.02 tff(31530,plain,
% 74.19/47.02 (~v254(constB115)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31529, 6506, 31526])).
% 74.19/47.02 tff(31531,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB115) | (~v231(constB115)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB115) | (~v231(constB115)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31532,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB115) | (~v231(constB115)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31533,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB115) | (~v231(constB115))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31532, 31531])).
% 74.19/47.02 tff(31534,plain,
% 74.19/47.02 (~v231(constB115)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31533, 6528, 31510])).
% 74.19/47.02 tff(31535,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB115) | (~v221(constB115)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB115) | (~v221(constB115)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31536,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB115) | (~v221(constB115)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31537,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB115) | (~v221(constB115))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31536, 31535])).
% 74.19/47.02 tff(31538,plain,
% 74.19/47.02 (~v221(constB115)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31537, 21170, 31467])).
% 74.19/47.02 tff(31539,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB115) | v231(constB115) | (~v243(constB115)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB115) | v231(constB115) | (~v243(constB115)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31540,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB115) | v231(constB115) | (~v243(constB115)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31541,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB115) | v231(constB115) | (~v243(constB115))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31540, 31539])).
% 74.19/47.02 tff(31542,plain,
% 74.19/47.02 (~v243(constB115)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31541, 6542, 31538, 31534])).
% 74.19/47.02 tff(31543,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB115) | v255(constB115))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB115) | v255(constB115))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31544,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB115) | v255(constB115))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31545,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB115) | v255(constB115)),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31544, 31543])).
% 74.19/47.02 tff(31546,plain,
% 74.19/47.02 (v255(constB115)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31545, 6553, 31542])).
% 74.19/47.02 tff(31547,plain,
% 74.19/47.02 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB115)) | (~v216(constB115, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB115)) | (~v216(constB115, bitIndex2)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31548,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB115)) | (~v216(constB115, bitIndex2)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31549,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB115)) | (~v216(constB115, bitIndex2))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31548, 31547])).
% 74.19/47.02 tff(31550,plain,
% 74.19/47.02 (~v216(constB115, bitIndex2)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31549, 6564, 31546])).
% 74.19/47.02 tff(31551,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB115)) | v254(constB115) | v216(constB115, bitIndex2))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB115)) | v254(constB115) | v216(constB115, bitIndex2))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31552,plain,
% 74.19/47.02 ((v216(constB115, bitIndex2) | v254(constB115) | (~v215(constB115))) <=> ((~v215(constB115)) | v254(constB115) | v216(constB115, bitIndex2))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31553,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB115, bitIndex2) | v254(constB115) | (~v215(constB115)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB115)) | v254(constB115) | v216(constB115, bitIndex2)))),
% 74.19/47.02 inference(monotonicity,[status(thm)],[31552])).
% 74.19/47.02 tff(31554,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB115, bitIndex2) | v254(constB115) | (~v215(constB115)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB115)) | v254(constB115) | v216(constB115, bitIndex2))),
% 74.19/47.02 inference(transitivity,[status(thm)],[31553, 31551])).
% 74.19/47.02 tff(31555,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB115, bitIndex2) | v254(constB115) | (~v215(constB115)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31556,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB115)) | v254(constB115) | v216(constB115, bitIndex2)),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31555, 31554])).
% 74.19/47.02 tff(31557,plain,
% 74.19/47.02 ((~v215(constB115)) | v254(constB115)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31556, 6578, 31550])).
% 74.19/47.02 tff(31558,plain,
% 74.19/47.02 (~v215(constB115)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31557, 31530])).
% 74.19/47.02 tff(31559,plain,
% 74.19/47.02 ($false),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31558, 31360])).
% 74.19/47.02 tff(31560,plain,(~(constB115 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.19/47.02 tff(31561,assumption,(constB11 = sK0_VarCurr), introduced(assumption)).
% 74.19/47.02 tff(31562,plain,
% 74.19/47.02 (v215(constB11) <=> v215(sK0_VarCurr)),
% 74.19/47.02 inference(monotonicity,[status(thm)],[31561])).
% 74.19/47.02 tff(31563,plain,
% 74.19/47.02 (v215(sK0_VarCurr) <=> v215(constB11)),
% 74.19/47.02 inference(symmetry,[status(thm)],[31562])).
% 74.19/47.02 tff(31564,plain,
% 74.19/47.02 (v215(constB11)),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[28, 31563])).
% 74.19/47.02 tff(31565,plain,
% 74.19/47.02 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB11, bitIndex2)) | v88(constB11, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB11, bitIndex2)) | v88(constB11, bitIndex2))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31566,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB11, bitIndex2)) | v88(constB11, bitIndex2))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31567,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB11, bitIndex2)) | v88(constB11, bitIndex2)),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31566, 31565])).
% 74.19/47.02 tff(31568,plain,
% 74.19/47.02 (v88(constB11, bitIndex2)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31567, 6015, 1612])).
% 74.19/47.02 tff(31569,plain,
% 74.19/47.02 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB11, bitIndex2)) | (~v140(constB11)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB11, bitIndex2)) | (~v140(constB11)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31570,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB11, bitIndex2)) | (~v140(constB11)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31571,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB11, bitIndex2)) | (~v140(constB11))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31570, 31569])).
% 74.19/47.02 tff(31572,plain,
% 74.19/47.02 (~v140(constB11)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31571, 6026, 31568])).
% 74.19/47.02 tff(31573,plain,
% 74.19/47.02 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB11, bitIndex0)) | v88(constB11, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB11, bitIndex0)) | v88(constB11, bitIndex0))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31574,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB11, bitIndex0)) | v88(constB11, bitIndex0))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31575,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB11, bitIndex0)) | v88(constB11, bitIndex0)),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31574, 31573])).
% 74.19/47.02 tff(31576,plain,
% 74.19/47.02 (v88(constB11, bitIndex0)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31575, 6074, 1697])).
% 74.19/47.02 tff(31577,plain,
% 74.19/47.02 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB11, bitIndex0)) | (~v139(constB11)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB11, bitIndex0)) | (~v139(constB11)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31578,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB11, bitIndex0)) | (~v139(constB11)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31579,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB11, bitIndex0)) | (~v139(constB11))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31578, 31577])).
% 74.19/47.02 tff(31580,plain,
% 74.19/47.02 (~v139(constB11)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31579, 6085, 31576])).
% 74.19/47.02 tff(31581,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB11) | v139(constB11) | (~v200(constB11)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB11) | v139(constB11) | (~v200(constB11)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31582,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB11) | v139(constB11) | (~v200(constB11)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31583,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB11) | v139(constB11) | (~v200(constB11))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31582, 31581])).
% 74.19/47.02 tff(31584,plain,
% 74.19/47.02 (~v200(constB11)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31583, 6102, 31580, 31572])).
% 74.19/47.02 tff(31585,plain,
% 74.19/47.02 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB11, bitIndex2)) | (~v141(constB11)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB11, bitIndex2)) | (~v141(constB11)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31586,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB11, bitIndex2)) | (~v141(constB11)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31587,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB11, bitIndex2)) | (~v141(constB11))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31586, 31585])).
% 74.19/47.02 tff(31588,plain,
% 74.19/47.02 (~v141(constB11)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31587, 6116, 31568])).
% 74.19/47.02 tff(31589,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB11) | v200(constB11) | (~v199(constB11)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB11) | v200(constB11) | (~v199(constB11)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31590,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB11) | v200(constB11) | (~v199(constB11)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31591,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB11) | v200(constB11) | (~v199(constB11))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31590, 31589])).
% 74.19/47.02 tff(31592,plain,
% 74.19/47.02 (~v199(constB11)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31591, 6133, 31588, 31584])).
% 74.19/47.02 tff(31593,plain,
% 74.19/47.02 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB11, bitIndex0)) | (~v143(constB11)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB11, bitIndex0)) | (~v143(constB11)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31594,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB11, bitIndex0)) | (~v143(constB11)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31595,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB11, bitIndex0)) | (~v143(constB11))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31594, 31593])).
% 74.19/47.02 tff(31596,plain,
% 74.19/47.02 (~v143(constB11)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31595, 6144, 31576])).
% 74.19/47.02 tff(31597,plain,
% 74.19/47.02 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB11, bitIndex0)) | (~v144(constB11)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB11, bitIndex0)) | (~v144(constB11)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31598,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB11, bitIndex0)) | (~v144(constB11)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31599,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB11, bitIndex0)) | (~v144(constB11))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31598, 31597])).
% 74.19/47.02 tff(31600,plain,
% 74.19/47.02 (~v144(constB11)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31599, 6158, 31576])).
% 74.19/47.02 tff(31601,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB11) | v144(constB11) | (~v142(constB11)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB11) | v144(constB11) | (~v142(constB11)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31602,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB11) | v144(constB11) | (~v142(constB11)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31603,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB11) | v144(constB11) | (~v142(constB11))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31602, 31601])).
% 74.19/47.02 tff(31604,plain,
% 74.19/47.02 (~v142(constB11)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31603, 6175, 31600, 31596])).
% 74.19/47.02 tff(31605,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB11) | v199(constB11) | (~v183(constB11)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB11) | v199(constB11) | (~v183(constB11)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31606,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB11) | v199(constB11) | (~v183(constB11)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31607,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB11) | v199(constB11) | (~v183(constB11))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31606, 31605])).
% 74.19/47.02 tff(31608,plain,
% 74.19/47.02 (~v183(constB11)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31607, 6189, 31604, 31592])).
% 74.19/47.02 tff(31609,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB11, bitIndex1) | (~v88(constB11, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB11, bitIndex1) | (~v88(constB11, bitIndex1)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31610,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB11, bitIndex1) | (~v88(constB11, bitIndex1)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31611,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB11, bitIndex1) | (~v88(constB11, bitIndex1))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31610, 31609])).
% 74.19/47.02 tff(31612,plain,
% 74.19/47.02 (~v88(constB11, bitIndex1)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31611, 6234, 1656])).
% 74.19/47.02 tff(31613,plain,
% 74.19/47.02 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB11, bitIndex0)) | v147(constB11) | (~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB11, bitIndex0)) | v147(constB11) | (~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31614,plain,
% 74.19/47.02 (((~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)) | v147(constB11)) <=> ((~v88(constB11, bitIndex0)) | v147(constB11) | (~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31615,plain,
% 74.19/47.02 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)) | v147(constB11))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB11, bitIndex0)) | v147(constB11) | (~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1)))),
% 74.19/47.02 inference(monotonicity,[status(thm)],[31614])).
% 74.19/47.02 tff(31616,plain,
% 74.19/47.02 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)) | v147(constB11))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB11, bitIndex0)) | v147(constB11) | (~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1))),
% 74.19/47.02 inference(transitivity,[status(thm)],[31615, 31613])).
% 74.19/47.02 tff(31617,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1) | (~v88(constB11, bitIndex0)) | v147(constB11))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31618,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB11, bitIndex0)) | v147(constB11) | (~v88(constB11, bitIndex2)) | v88(constB11, bitIndex1)),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31617, 31616])).
% 74.19/47.02 tff(31619,plain,
% 74.19/47.02 (v147(constB11)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31618, 6248, 31576, 31568, 31612])).
% 74.19/47.02 tff(31620,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB11) | (~v147(constB11)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB11) | (~v147(constB11)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31621,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB11) | (~v147(constB11)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31622,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB11) | (~v147(constB11))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31621, 31620])).
% 74.19/47.02 tff(31623,plain,
% 74.19/47.02 (v145(constB11)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31622, 6262, 31619])).
% 74.19/47.02 tff(31624,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB11) | (~v145(constB11)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB11) | (~v145(constB11)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31625,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB11) | (~v145(constB11)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31626,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB11) | (~v145(constB11))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31625, 31624])).
% 74.19/47.02 tff(31627,plain,
% 74.19/47.02 (v197(constB11)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31626, 6273, 31623])).
% 74.19/47.02 tff(31628,plain,
% 74.19/47.02 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB11) | v183(constB11) | (~v197(constB11)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB11) | v183(constB11) | (~v197(constB11)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31629,plain,
% 74.19/47.02 (((~v197(constB11)) | v183(constB11) | v228(constB11)) <=> (v228(constB11) | v183(constB11) | (~v197(constB11)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31630,plain,
% 74.19/47.02 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB11)) | v183(constB11) | v228(constB11))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB11) | v183(constB11) | (~v197(constB11))))),
% 74.19/47.02 inference(monotonicity,[status(thm)],[31629])).
% 74.19/47.02 tff(31631,plain,
% 74.19/47.02 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB11)) | v183(constB11) | v228(constB11))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB11) | v183(constB11) | (~v197(constB11)))),
% 74.19/47.02 inference(transitivity,[status(thm)],[31630, 31628])).
% 74.19/47.02 tff(31632,plain,
% 74.19/47.02 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB11)) | v183(constB11) | v228(constB11))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31633,plain,
% 74.19/47.02 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB11) | v183(constB11) | (~v197(constB11))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31632, 31631])).
% 74.19/47.02 tff(31634,plain,
% 74.19/47.02 (v228(constB11)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31633, 6287, 31627, 31608])).
% 74.19/47.02 tff(31635,plain,
% 74.19/47.02 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB11)) | (~v223(constB11, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB11)) | (~v223(constB11, bitIndex1)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31636,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB11)) | (~v223(constB11, bitIndex1)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31637,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB11)) | (~v223(constB11, bitIndex1))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31636, 31635])).
% 74.19/47.02 tff(31638,plain,
% 74.19/47.02 (~v223(constB11, bitIndex1)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31637, 6301, 31634])).
% 74.19/47.02 tff(31639,plain,
% 74.19/47.02 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB11)) | v223(constB11, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB11)) | v223(constB11, bitIndex1))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31640,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB11)) | v223(constB11, bitIndex1))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31641,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB11)) | v223(constB11, bitIndex1)),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31640, 31639])).
% 74.19/47.02 tff(31642,plain,
% 74.19/47.02 (~v222(constB11)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31641, 6315, 31638])).
% 74.19/47.02 tff(31643,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB11) | v200(constB11) | (~v166(constB11)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB11) | v200(constB11) | (~v166(constB11)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31644,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB11) | v200(constB11) | (~v166(constB11)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31645,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB11) | v200(constB11) | (~v166(constB11))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31644, 31643])).
% 74.19/47.02 tff(31646,plain,
% 74.19/47.02 (~v166(constB11)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31645, 6329, 31588, 31584])).
% 74.19/47.02 tff(31647,plain,
% 74.19/47.02 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB11) | v166(constB11) | (~v197(constB11)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB11) | v166(constB11) | (~v197(constB11)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31648,plain,
% 74.19/47.02 (((~v197(constB11)) | v166(constB11) | v241(constB11)) <=> (v241(constB11) | v166(constB11) | (~v197(constB11)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31649,plain,
% 74.19/47.02 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB11)) | v166(constB11) | v241(constB11))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB11) | v166(constB11) | (~v197(constB11))))),
% 74.19/47.02 inference(monotonicity,[status(thm)],[31648])).
% 74.19/47.02 tff(31650,plain,
% 74.19/47.02 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB11)) | v166(constB11) | v241(constB11))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB11) | v166(constB11) | (~v197(constB11)))),
% 74.19/47.02 inference(transitivity,[status(thm)],[31649, 31647])).
% 74.19/47.02 tff(31651,plain,
% 74.19/47.02 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB11)) | v166(constB11) | v241(constB11))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31652,plain,
% 74.19/47.02 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB11) | v166(constB11) | (~v197(constB11))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31651, 31650])).
% 74.19/47.02 tff(31653,plain,
% 74.19/47.02 (v241(constB11)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31652, 6343, 31627, 31646])).
% 74.19/47.02 tff(31654,plain,
% 74.19/47.02 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB11)) | (~v223(constB11, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB11)) | (~v223(constB11, bitIndex2)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31655,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB11)) | (~v223(constB11, bitIndex2)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31656,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB11)) | (~v223(constB11, bitIndex2))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31655, 31654])).
% 74.19/47.02 tff(31657,plain,
% 74.19/47.02 (~v223(constB11, bitIndex2)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31656, 6357, 31653])).
% 74.19/47.02 tff(31658,plain,
% 74.19/47.02 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB11)) | v223(constB11, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB11)) | v223(constB11, bitIndex2))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31659,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB11)) | v223(constB11, bitIndex2))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31660,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB11)) | v223(constB11, bitIndex2)),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31659, 31658])).
% 74.19/47.02 tff(31661,plain,
% 74.19/47.02 (~v224(constB11)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31660, 6371, 31657])).
% 74.19/47.02 tff(31662,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB11) | v224(constB11) | (~v236(constB11)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB11) | v224(constB11) | (~v236(constB11)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31663,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB11) | v224(constB11) | (~v236(constB11)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31664,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB11) | v224(constB11) | (~v236(constB11))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31663, 31662])).
% 74.19/47.02 tff(31665,plain,
% 74.19/47.02 (~v236(constB11)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31664, 6385, 31661, 31642])).
% 74.19/47.02 tff(31666,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB11) | (~v232(constB11)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB11) | (~v232(constB11)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31667,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB11) | (~v232(constB11)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31668,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB11) | (~v232(constB11))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31667, 31666])).
% 74.19/47.02 tff(31669,plain,
% 74.19/47.02 (~v232(constB11)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31668, 6396, 31665])).
% 74.19/47.02 tff(31670,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB11) | v139(constB11) | (~v148(constB11)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB11) | v139(constB11) | (~v148(constB11)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31671,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB11) | v139(constB11) | (~v148(constB11)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31672,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB11) | v139(constB11) | (~v148(constB11))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31671, 31670])).
% 74.19/47.02 tff(31673,plain,
% 74.19/47.02 (~v148(constB11)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31672, 6410, 31580, 31572])).
% 74.19/47.02 tff(31674,plain,
% 74.19/47.02 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB11) | v148(constB11) | (~v197(constB11)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB11) | v148(constB11) | (~v197(constB11)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31675,plain,
% 74.19/47.02 ((v148(constB11) | (~v197(constB11)) | v252(constB11)) <=> (v252(constB11) | v148(constB11) | (~v197(constB11)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31676,plain,
% 74.19/47.02 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB11) | (~v197(constB11)) | v252(constB11))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB11) | v148(constB11) | (~v197(constB11))))),
% 74.19/47.02 inference(monotonicity,[status(thm)],[31675])).
% 74.19/47.02 tff(31677,plain,
% 74.19/47.02 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB11) | (~v197(constB11)) | v252(constB11))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB11) | v148(constB11) | (~v197(constB11)))),
% 74.19/47.02 inference(transitivity,[status(thm)],[31676, 31674])).
% 74.19/47.02 tff(31678,plain,
% 74.19/47.02 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB11) | (~v197(constB11)) | v252(constB11))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31679,plain,
% 74.19/47.02 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB11) | v148(constB11) | (~v197(constB11))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31678, 31677])).
% 74.19/47.02 tff(31680,plain,
% 74.19/47.02 (v252(constB11)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31679, 6427, 31627, 31673])).
% 74.19/47.02 tff(31681,plain,
% 74.19/47.02 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB11)) | (~v223(constB11, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB11)) | (~v223(constB11, bitIndex3)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31682,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB11)) | (~v223(constB11, bitIndex3)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31683,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB11)) | (~v223(constB11, bitIndex3))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31682, 31681])).
% 74.19/47.02 tff(31684,plain,
% 74.19/47.02 (~v223(constB11, bitIndex3)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31683, 6441, 31680])).
% 74.19/47.02 tff(31685,plain,
% 74.19/47.02 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB11)) | v223(constB11, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB11)) | v223(constB11, bitIndex3))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31686,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB11)) | v223(constB11, bitIndex3))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31687,plain,
% 74.19/47.02 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB11)) | v223(constB11, bitIndex3)),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31686, 31685])).
% 74.19/47.02 tff(31688,plain,
% 74.19/47.02 (~v237(constB11)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31687, 6455, 31684])).
% 74.19/47.02 tff(31689,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | ((~v248(constB11)) | v237(constB11) | v232(constB11))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (~v248(constB11)) | v237(constB11) | v232(constB11))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31690,plain,
% 74.19/47.02 ((v237(constB11) | v232(constB11) | (~v248(constB11))) <=> ((~v248(constB11)) | v237(constB11) | v232(constB11))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31691,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB11) | v232(constB11) | (~v248(constB11)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | ((~v248(constB11)) | v237(constB11) | v232(constB11)))),
% 74.19/47.02 inference(monotonicity,[status(thm)],[31690])).
% 74.19/47.02 tff(31692,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB11) | v232(constB11) | (~v248(constB11)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (~v248(constB11)) | v237(constB11) | v232(constB11))),
% 74.19/47.02 inference(transitivity,[status(thm)],[31691, 31689])).
% 74.19/47.02 tff(31693,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB11) | v232(constB11) | (~v248(constB11)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31694,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (~v248(constB11)) | v237(constB11) | v232(constB11)),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31693, 31692])).
% 74.19/47.02 tff(31695,plain,
% 74.19/47.02 ((~v248(constB11)) | v232(constB11)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31694, 6469, 31688])).
% 74.19/47.02 tff(31696,plain,
% 74.19/47.02 (~v248(constB11)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31695, 31669])).
% 74.19/47.02 tff(31697,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB11) | (~v244(constB11)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB11) | (~v244(constB11)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31698,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB11) | (~v244(constB11)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31699,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB11) | (~v244(constB11))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31698, 31697])).
% 74.19/47.02 tff(31700,plain,
% 74.19/47.02 (~v244(constB11)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31699, 6484, 31696])).
% 74.19/47.02 tff(31701,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB11) | (~v216(constB11, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB11) | (~v216(constB11, bitIndex1)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31702,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB11) | (~v216(constB11, bitIndex1)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31703,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB11) | (~v216(constB11, bitIndex1))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31702, 31701])).
% 74.19/47.02 tff(31704,plain,
% 74.19/47.02 (~v216(constB11, bitIndex1)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31703, 6495, 31700])).
% 74.19/47.02 tff(31705,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB11, bitIndex1) | (~v254(constB11)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB11, bitIndex1) | (~v254(constB11)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31706,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB11, bitIndex1) | (~v254(constB11)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31707,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB11, bitIndex1) | (~v254(constB11))),
% 74.19/47.02 inference(modus_ponens,[status(thm)],[31706, 31705])).
% 74.19/47.02 tff(31708,plain,
% 74.19/47.02 (~v254(constB11)),
% 74.19/47.02 inference(unit_resolution,[status(thm)],[31707, 6506, 31704])).
% 74.19/47.02 tff(31709,plain,
% 74.19/47.02 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB11) | (~v221(constB11)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB11) | (~v221(constB11)))),
% 74.19/47.02 inference(rewrite,[status(thm)],[])).
% 74.19/47.02 tff(31710,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB11) | (~v221(constB11)))),
% 74.19/47.02 inference(quant_inst,[status(thm)],[])).
% 74.19/47.02 tff(31711,plain,
% 74.19/47.02 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB11) | (~v221(constB11))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31710, 31709])).
% 74.19/47.03 tff(31712,plain,
% 74.19/47.03 (~v221(constB11)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31711, 6517, 31661])).
% 74.19/47.03 tff(31713,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB11) | (~v231(constB11)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB11) | (~v231(constB11)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31714,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB11) | (~v231(constB11)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31715,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB11) | (~v231(constB11))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31714, 31713])).
% 74.19/47.03 tff(31716,plain,
% 74.19/47.03 (~v231(constB11)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31715, 6528, 31688])).
% 74.19/47.03 tff(31717,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB11) | v231(constB11) | (~v243(constB11)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB11) | v231(constB11) | (~v243(constB11)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31718,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB11) | v231(constB11) | (~v243(constB11)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31719,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB11) | v231(constB11) | (~v243(constB11))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31718, 31717])).
% 74.19/47.03 tff(31720,plain,
% 74.19/47.03 (~v243(constB11)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31719, 6542, 31716, 31712])).
% 74.19/47.03 tff(31721,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB11) | v255(constB11))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB11) | v255(constB11))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31722,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB11) | v255(constB11))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31723,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB11) | v255(constB11)),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31722, 31721])).
% 74.19/47.03 tff(31724,plain,
% 74.19/47.03 (v255(constB11)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31723, 6553, 31720])).
% 74.19/47.03 tff(31725,plain,
% 74.19/47.03 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB11)) | (~v216(constB11, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB11)) | (~v216(constB11, bitIndex2)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31726,plain,
% 74.19/47.03 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB11)) | (~v216(constB11, bitIndex2)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31727,plain,
% 74.19/47.03 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB11)) | (~v216(constB11, bitIndex2))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31726, 31725])).
% 74.19/47.03 tff(31728,plain,
% 74.19/47.03 (~v216(constB11, bitIndex2)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31727, 6564, 31724])).
% 74.19/47.03 tff(31729,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB11)) | v254(constB11) | v216(constB11, bitIndex2))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB11)) | v254(constB11) | v216(constB11, bitIndex2))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31730,plain,
% 74.19/47.03 ((v216(constB11, bitIndex2) | v254(constB11) | (~v215(constB11))) <=> ((~v215(constB11)) | v254(constB11) | v216(constB11, bitIndex2))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31731,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB11, bitIndex2) | v254(constB11) | (~v215(constB11)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB11)) | v254(constB11) | v216(constB11, bitIndex2)))),
% 74.19/47.03 inference(monotonicity,[status(thm)],[31730])).
% 74.19/47.03 tff(31732,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB11, bitIndex2) | v254(constB11) | (~v215(constB11)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB11)) | v254(constB11) | v216(constB11, bitIndex2))),
% 74.19/47.03 inference(transitivity,[status(thm)],[31731, 31729])).
% 74.19/47.03 tff(31733,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB11, bitIndex2) | v254(constB11) | (~v215(constB11)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31734,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB11)) | v254(constB11) | v216(constB11, bitIndex2)),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31733, 31732])).
% 74.19/47.03 tff(31735,plain,
% 74.19/47.03 ((~v215(constB11)) | v254(constB11)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31734, 6578, 31728])).
% 74.19/47.03 tff(31736,plain,
% 74.19/47.03 (~v215(constB11)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31735, 31708])).
% 74.19/47.03 tff(31737,plain,
% 74.19/47.03 ($false),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31736, 31564])).
% 74.19/47.03 tff(31738,plain,(~(constB11 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.19/47.03 tff(31739,assumption,(constB19 = sK0_VarCurr), introduced(assumption)).
% 74.19/47.03 tff(31740,plain,
% 74.19/47.03 (v215(constB19) <=> v215(sK0_VarCurr)),
% 74.19/47.03 inference(monotonicity,[status(thm)],[31739])).
% 74.19/47.03 tff(31741,plain,
% 74.19/47.03 (v215(sK0_VarCurr) <=> v215(constB19)),
% 74.19/47.03 inference(symmetry,[status(thm)],[31740])).
% 74.19/47.03 tff(31742,plain,
% 74.19/47.03 (v215(constB19)),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[28, 31741])).
% 74.19/47.03 tff(31743,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB19, bitIndex2) | (~v88(constB19, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB19, bitIndex2) | (~v88(constB19, bitIndex2)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31744,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB19, bitIndex2) | (~v88(constB19, bitIndex2)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31745,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB19, bitIndex2) | (~v88(constB19, bitIndex2))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31744, 31743])).
% 74.19/47.03 tff(31746,plain,
% 74.19/47.03 (~v88(constB19, bitIndex2)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31745, 20913, 2555])).
% 74.19/47.03 tff(31747,plain,
% 74.19/47.03 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB19, bitIndex1)) | v88(constB19, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB19, bitIndex1)) | v88(constB19, bitIndex1))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31748,plain,
% 74.19/47.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB19, bitIndex1)) | v88(constB19, bitIndex1))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31749,plain,
% 74.19/47.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB19, bitIndex1)) | v88(constB19, bitIndex1)),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31748, 31747])).
% 74.19/47.03 tff(31750,plain,
% 74.19/47.03 (v88(constB19, bitIndex1)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31749, 20927, 2586])).
% 74.19/47.03 tff(31751,plain,
% 74.19/47.03 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB19, bitIndex0)) | v88(constB19, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB19, bitIndex0)) | v88(constB19, bitIndex0))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31752,plain,
% 74.19/47.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB19, bitIndex0)) | v88(constB19, bitIndex0))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31753,plain,
% 74.19/47.03 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB19, bitIndex0)) | v88(constB19, bitIndex0)),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31752, 31751])).
% 74.19/47.03 tff(31754,plain,
% 74.19/47.03 (v88(constB19, bitIndex0)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31753, 6074, 2617])).
% 74.19/47.03 tff(31755,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | (~v88(constB19, bitIndex0)) | v141(constB19))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | (~v88(constB19, bitIndex0)) | v141(constB19))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31756,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | (~v88(constB19, bitIndex0)) | v141(constB19))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31757,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | (~v88(constB19, bitIndex0)) | v141(constB19)),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31756, 31755])).
% 74.19/47.03 tff(31758,plain,
% 74.19/47.03 (v141(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31757, 20945, 31754, 31750, 31746])).
% 74.19/47.03 tff(31759,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB19) | (~v141(constB19)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB19) | (~v141(constB19)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31760,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB19) | (~v141(constB19)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31761,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB19) | (~v141(constB19))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31760, 31759])).
% 74.19/47.03 tff(31762,plain,
% 74.19/47.03 (v199(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31761, 20959, 31758])).
% 74.19/47.03 tff(31763,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB19) | (~v199(constB19)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB19) | (~v199(constB19)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31764,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB19) | (~v199(constB19)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31765,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB19) | (~v199(constB19))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31764, 31763])).
% 74.19/47.03 tff(31766,plain,
% 74.19/47.03 (v198(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31765, 20970, 31762])).
% 74.19/47.03 tff(31767,plain,
% 74.19/47.03 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB19)) | (~v201(constB19)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB19)) | (~v201(constB19)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31768,plain,
% 74.19/47.03 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB19)) | (~v201(constB19)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31769,plain,
% 74.19/47.03 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB19)) | (~v201(constB19))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31768, 31767])).
% 74.19/47.03 tff(31770,plain,
% 74.19/47.03 (~v201(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31769, 20984, 31766])).
% 74.19/47.03 tff(31771,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB19) | (~v198(constB19)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB19) | (~v198(constB19)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31772,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB19) | (~v198(constB19)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31773,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB19) | (~v198(constB19))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31772, 31771])).
% 74.19/47.03 tff(31774,plain,
% 74.19/47.03 (v197(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31773, 20995, 31766])).
% 74.19/47.03 tff(31775,plain,
% 74.19/47.03 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB19) | (~v197(constB19)) | v201(constB19))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB19) | (~v197(constB19)) | v201(constB19))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31776,plain,
% 74.19/47.03 (((~v197(constB19)) | v201(constB19) | v227(constB19)) <=> (v227(constB19) | (~v197(constB19)) | v201(constB19))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31777,plain,
% 74.19/47.03 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB19)) | v201(constB19) | v227(constB19))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB19) | (~v197(constB19)) | v201(constB19)))),
% 74.19/47.03 inference(monotonicity,[status(thm)],[31776])).
% 74.19/47.03 tff(31778,plain,
% 74.19/47.03 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB19)) | v201(constB19) | v227(constB19))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB19) | (~v197(constB19)) | v201(constB19))),
% 74.19/47.03 inference(transitivity,[status(thm)],[31777, 31775])).
% 74.19/47.03 tff(31779,plain,
% 74.19/47.03 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB19)) | v201(constB19) | v227(constB19))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31780,plain,
% 74.19/47.03 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB19) | (~v197(constB19)) | v201(constB19)),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31779, 31778])).
% 74.19/47.03 tff(31781,plain,
% 74.19/47.03 (v227(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31780, 21009, 31774, 31770])).
% 74.19/47.03 tff(31782,plain,
% 74.19/47.03 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB19)) | (~v223(constB19, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB19)) | (~v223(constB19, bitIndex0)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31783,plain,
% 74.19/47.03 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB19)) | (~v223(constB19, bitIndex0)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31784,plain,
% 74.19/47.03 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB19)) | (~v223(constB19, bitIndex0))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31783, 31782])).
% 74.19/47.03 tff(31785,plain,
% 74.19/47.03 (~v223(constB19, bitIndex0)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31784, 21023, 31781])).
% 74.19/47.03 tff(31786,plain,
% 74.19/47.03 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB19)) | (~v199(constB19)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB19)) | (~v199(constB19)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31787,plain,
% 74.19/47.03 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB19)) | (~v199(constB19)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31788,plain,
% 74.19/47.03 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB19)) | (~v199(constB19))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31787, 31786])).
% 74.19/47.03 tff(31789,plain,
% 74.19/47.03 (~v183(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31788, 21034, 31762])).
% 74.19/47.03 tff(31790,plain,
% 74.19/47.03 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB19) | (~v197(constB19)) | v183(constB19))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB19) | (~v197(constB19)) | v183(constB19))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31791,plain,
% 74.19/47.03 (((~v197(constB19)) | v183(constB19) | v228(constB19)) <=> (v228(constB19) | (~v197(constB19)) | v183(constB19))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31792,plain,
% 74.19/47.03 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB19)) | v183(constB19) | v228(constB19))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB19) | (~v197(constB19)) | v183(constB19)))),
% 74.19/47.03 inference(monotonicity,[status(thm)],[31791])).
% 74.19/47.03 tff(31793,plain,
% 74.19/47.03 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB19)) | v183(constB19) | v228(constB19))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB19) | (~v197(constB19)) | v183(constB19))),
% 74.19/47.03 inference(transitivity,[status(thm)],[31792, 31790])).
% 74.19/47.03 tff(31794,plain,
% 74.19/47.03 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB19)) | v183(constB19) | v228(constB19))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31795,plain,
% 74.19/47.03 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB19) | (~v197(constB19)) | v183(constB19)),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31794, 31793])).
% 74.19/47.03 tff(31796,plain,
% 74.19/47.03 (v228(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31795, 6287, 31774, 31789])).
% 74.19/47.03 tff(31797,plain,
% 74.19/47.03 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB19)) | (~v223(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB19)) | (~v223(constB19, bitIndex1)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31798,plain,
% 74.19/47.03 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB19)) | (~v223(constB19, bitIndex1)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31799,plain,
% 74.19/47.03 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB19)) | (~v223(constB19, bitIndex1))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31798, 31797])).
% 74.19/47.03 tff(31800,plain,
% 74.19/47.03 (~v223(constB19, bitIndex1)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31799, 6301, 31796])).
% 74.19/47.03 tff(31801,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB19, bitIndex1) | v223(constB19, bitIndex0) | (~v229(constB19)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB19, bitIndex1) | v223(constB19, bitIndex0) | (~v229(constB19)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31802,plain,
% 74.19/47.03 ((v223(constB19, bitIndex0) | v223(constB19, bitIndex1) | (~v229(constB19))) <=> (v223(constB19, bitIndex1) | v223(constB19, bitIndex0) | (~v229(constB19)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31803,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB19, bitIndex0) | v223(constB19, bitIndex1) | (~v229(constB19)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB19, bitIndex1) | v223(constB19, bitIndex0) | (~v229(constB19))))),
% 74.19/47.03 inference(monotonicity,[status(thm)],[31802])).
% 74.19/47.03 tff(31804,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB19, bitIndex0) | v223(constB19, bitIndex1) | (~v229(constB19)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB19, bitIndex1) | v223(constB19, bitIndex0) | (~v229(constB19)))),
% 74.19/47.03 inference(transitivity,[status(thm)],[31803, 31801])).
% 74.19/47.03 tff(31805,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB19, bitIndex0) | v223(constB19, bitIndex1) | (~v229(constB19)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31806,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB19, bitIndex1) | v223(constB19, bitIndex0) | (~v229(constB19))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31805, 31804])).
% 74.19/47.03 tff(31807,plain,
% 74.19/47.03 (~v229(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31806, 21059, 31800, 31785])).
% 74.19/47.03 tff(31808,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB19) | (~v225(constB19)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB19) | (~v225(constB19)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31809,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB19) | (~v225(constB19)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31810,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB19) | (~v225(constB19))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31809, 31808])).
% 74.19/47.03 tff(31811,plain,
% 74.19/47.03 (~v225(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31810, 21073, 31807])).
% 74.19/47.03 tff(31812,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB19) | (~v224(constB19)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB19) | (~v224(constB19)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31813,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB19) | (~v224(constB19)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31814,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB19) | (~v224(constB19))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31813, 31812])).
% 74.19/47.03 tff(31815,plain,
% 74.19/47.03 (~v224(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31814, 21084, 31811])).
% 74.19/47.03 tff(31816,plain,
% 74.19/47.03 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB19)) | v223(constB19, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB19)) | v223(constB19, bitIndex1))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31817,plain,
% 74.19/47.03 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB19)) | v223(constB19, bitIndex1))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31818,plain,
% 74.19/47.03 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB19)) | v223(constB19, bitIndex1)),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31817, 31816])).
% 74.19/47.03 tff(31819,plain,
% 74.19/47.03 (~v222(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31818, 6315, 31800])).
% 74.19/47.03 tff(31820,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB19) | v224(constB19) | (~v236(constB19)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB19) | v224(constB19) | (~v236(constB19)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31821,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB19) | v224(constB19) | (~v236(constB19)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31822,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB19) | v224(constB19) | (~v236(constB19))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31821, 31820])).
% 74.19/47.03 tff(31823,plain,
% 74.19/47.03 (v224(constB19) | (~v236(constB19))),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31822, 6385, 31819])).
% 74.19/47.03 tff(31824,plain,
% 74.19/47.03 (~v236(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31823, 31815])).
% 74.19/47.03 tff(31825,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB19) | (~v232(constB19)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB19) | (~v232(constB19)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31826,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB19) | (~v232(constB19)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31827,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB19) | (~v232(constB19))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31826, 31825])).
% 74.19/47.03 tff(31828,plain,
% 74.19/47.03 (~v232(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31827, 6396, 31824])).
% 74.19/47.03 tff(31829,plain,
% 74.19/47.03 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB19, bitIndex1)) | (~v140(constB19)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB19, bitIndex1)) | (~v140(constB19)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31830,plain,
% 74.19/47.03 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB19, bitIndex1)) | (~v140(constB19)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31831,plain,
% 74.19/47.03 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB19, bitIndex1)) | (~v140(constB19))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31830, 31829])).
% 74.19/47.03 tff(31832,plain,
% 74.19/47.03 (~v140(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31831, 21108, 31750])).
% 74.19/47.03 tff(31833,plain,
% 74.19/47.03 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB19, bitIndex0)) | (~v139(constB19)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB19, bitIndex0)) | (~v139(constB19)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31834,plain,
% 74.19/47.03 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB19, bitIndex0)) | (~v139(constB19)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31835,plain,
% 74.19/47.03 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB19, bitIndex0)) | (~v139(constB19))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31834, 31833])).
% 74.19/47.03 tff(31836,plain,
% 74.19/47.03 (~v139(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31835, 6085, 31754])).
% 74.19/47.03 tff(31837,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB19) | v139(constB19) | (~v148(constB19)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB19) | v139(constB19) | (~v148(constB19)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31838,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB19) | v139(constB19) | (~v148(constB19)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31839,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB19) | v139(constB19) | (~v148(constB19))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31838, 31837])).
% 74.19/47.03 tff(31840,plain,
% 74.19/47.03 (~v148(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31839, 6410, 31836, 31832])).
% 74.19/47.03 tff(31841,plain,
% 74.19/47.03 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB19) | (~v197(constB19)) | v148(constB19))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB19) | (~v197(constB19)) | v148(constB19))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31842,plain,
% 74.19/47.03 ((v148(constB19) | (~v197(constB19)) | v252(constB19)) <=> (v252(constB19) | (~v197(constB19)) | v148(constB19))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31843,plain,
% 74.19/47.03 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB19) | (~v197(constB19)) | v252(constB19))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB19) | (~v197(constB19)) | v148(constB19)))),
% 74.19/47.03 inference(monotonicity,[status(thm)],[31842])).
% 74.19/47.03 tff(31844,plain,
% 74.19/47.03 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB19) | (~v197(constB19)) | v252(constB19))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB19) | (~v197(constB19)) | v148(constB19))),
% 74.19/47.03 inference(transitivity,[status(thm)],[31843, 31841])).
% 74.19/47.03 tff(31845,plain,
% 74.19/47.03 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB19) | (~v197(constB19)) | v252(constB19))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31846,plain,
% 74.19/47.03 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB19) | (~v197(constB19)) | v148(constB19)),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31845, 31844])).
% 74.19/47.03 tff(31847,plain,
% 74.19/47.03 (v252(constB19) | (~v197(constB19))),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31846, 6427, 31840])).
% 74.19/47.03 tff(31848,plain,
% 74.19/47.03 (v252(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31847, 31774])).
% 74.19/47.03 tff(31849,plain,
% 74.19/47.03 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB19)) | (~v223(constB19, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB19)) | (~v223(constB19, bitIndex3)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31850,plain,
% 74.19/47.03 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB19)) | (~v223(constB19, bitIndex3)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31851,plain,
% 74.19/47.03 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB19)) | (~v223(constB19, bitIndex3))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31850, 31849])).
% 74.19/47.03 tff(31852,plain,
% 74.19/47.03 (~v223(constB19, bitIndex3)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31851, 6441, 31848])).
% 74.19/47.03 tff(31853,plain,
% 74.19/47.03 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB19)) | v223(constB19, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB19)) | v223(constB19, bitIndex3))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31854,plain,
% 74.19/47.03 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB19)) | v223(constB19, bitIndex3))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31855,plain,
% 74.19/47.03 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB19)) | v223(constB19, bitIndex3)),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31854, 31853])).
% 74.19/47.03 tff(31856,plain,
% 74.19/47.03 (~v237(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31855, 6455, 31852])).
% 74.19/47.03 tff(31857,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v232(constB19) | v237(constB19) | (~v248(constB19)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB19) | v237(constB19) | (~v248(constB19)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31858,plain,
% 74.19/47.03 ((v237(constB19) | v232(constB19) | (~v248(constB19))) <=> (v232(constB19) | v237(constB19) | (~v248(constB19)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31859,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB19) | v232(constB19) | (~v248(constB19)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v232(constB19) | v237(constB19) | (~v248(constB19))))),
% 74.19/47.03 inference(monotonicity,[status(thm)],[31858])).
% 74.19/47.03 tff(31860,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB19) | v232(constB19) | (~v248(constB19)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB19) | v237(constB19) | (~v248(constB19)))),
% 74.19/47.03 inference(transitivity,[status(thm)],[31859, 31857])).
% 74.19/47.03 tff(31861,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB19) | v232(constB19) | (~v248(constB19)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31862,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB19) | v237(constB19) | (~v248(constB19))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31861, 31860])).
% 74.19/47.03 tff(31863,plain,
% 74.19/47.03 (v232(constB19) | (~v248(constB19))),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31862, 6469, 31856])).
% 74.19/47.03 tff(31864,plain,
% 74.19/47.03 (~v248(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31863, 31828])).
% 74.19/47.03 tff(31865,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB19) | (~v244(constB19)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB19) | (~v244(constB19)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31866,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB19) | (~v244(constB19)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31867,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB19) | (~v244(constB19))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31866, 31865])).
% 74.19/47.03 tff(31868,plain,
% 74.19/47.03 (~v244(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31867, 6484, 31864])).
% 74.19/47.03 tff(31869,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB19) | (~v216(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB19) | (~v216(constB19, bitIndex1)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31870,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB19) | (~v216(constB19, bitIndex1)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31871,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB19) | (~v216(constB19, bitIndex1))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31870, 31869])).
% 74.19/47.03 tff(31872,plain,
% 74.19/47.03 (~v216(constB19, bitIndex1)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31871, 6495, 31868])).
% 74.19/47.03 tff(31873,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB19, bitIndex1) | (~v254(constB19)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB19, bitIndex1) | (~v254(constB19)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31874,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB19, bitIndex1) | (~v254(constB19)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31875,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB19, bitIndex1) | (~v254(constB19))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31874, 31873])).
% 74.19/47.03 tff(31876,plain,
% 74.19/47.03 (~v254(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31875, 6506, 31872])).
% 74.19/47.03 tff(31877,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB19) | (~v231(constB19)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB19) | (~v231(constB19)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31878,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB19) | (~v231(constB19)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31879,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB19) | (~v231(constB19))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31878, 31877])).
% 74.19/47.03 tff(31880,plain,
% 74.19/47.03 (~v231(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31879, 6528, 31856])).
% 74.19/47.03 tff(31881,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB19) | (~v221(constB19)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB19) | (~v221(constB19)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31882,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB19) | (~v221(constB19)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31883,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB19) | (~v221(constB19))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31882, 31881])).
% 74.19/47.03 tff(31884,plain,
% 74.19/47.03 (~v221(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31883, 21170, 31819])).
% 74.19/47.03 tff(31885,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB19) | v231(constB19) | (~v243(constB19)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB19) | v231(constB19) | (~v243(constB19)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31886,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB19) | v231(constB19) | (~v243(constB19)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31887,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB19) | v231(constB19) | (~v243(constB19))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31886, 31885])).
% 74.19/47.03 tff(31888,plain,
% 74.19/47.03 (~v243(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31887, 6542, 31884, 31880])).
% 74.19/47.03 tff(31889,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB19) | v255(constB19))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB19) | v255(constB19))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31890,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB19) | v255(constB19))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31891,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB19) | v255(constB19)),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31890, 31889])).
% 74.19/47.03 tff(31892,plain,
% 74.19/47.03 (v255(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31891, 6553, 31888])).
% 74.19/47.03 tff(31893,plain,
% 74.19/47.03 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB19)) | (~v216(constB19, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB19)) | (~v216(constB19, bitIndex2)))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31894,plain,
% 74.19/47.03 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB19)) | (~v216(constB19, bitIndex2)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31895,plain,
% 74.19/47.03 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB19)) | (~v216(constB19, bitIndex2))),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31894, 31893])).
% 74.19/47.03 tff(31896,plain,
% 74.19/47.03 (~v216(constB19, bitIndex2)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31895, 6564, 31892])).
% 74.19/47.03 tff(31897,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB19)) | v254(constB19) | v216(constB19, bitIndex2))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB19)) | v254(constB19) | v216(constB19, bitIndex2))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31898,plain,
% 74.19/47.03 ((v216(constB19, bitIndex2) | v254(constB19) | (~v215(constB19))) <=> ((~v215(constB19)) | v254(constB19) | v216(constB19, bitIndex2))),
% 74.19/47.03 inference(rewrite,[status(thm)],[])).
% 74.19/47.03 tff(31899,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB19, bitIndex2) | v254(constB19) | (~v215(constB19)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB19)) | v254(constB19) | v216(constB19, bitIndex2)))),
% 74.19/47.03 inference(monotonicity,[status(thm)],[31898])).
% 74.19/47.03 tff(31900,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB19, bitIndex2) | v254(constB19) | (~v215(constB19)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB19)) | v254(constB19) | v216(constB19, bitIndex2))),
% 74.19/47.03 inference(transitivity,[status(thm)],[31899, 31897])).
% 74.19/47.03 tff(31901,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB19, bitIndex2) | v254(constB19) | (~v215(constB19)))),
% 74.19/47.03 inference(quant_inst,[status(thm)],[])).
% 74.19/47.03 tff(31902,plain,
% 74.19/47.03 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB19)) | v254(constB19) | v216(constB19, bitIndex2)),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[31901, 31900])).
% 74.19/47.03 tff(31903,plain,
% 74.19/47.03 ((~v215(constB19)) | v254(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31902, 6578, 31896])).
% 74.19/47.03 tff(31904,plain,
% 74.19/47.03 (~v215(constB19)),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31903, 31876])).
% 74.19/47.03 tff(31905,plain,
% 74.19/47.03 ($false),
% 74.19/47.03 inference(unit_resolution,[status(thm)],[31904, 31742])).
% 74.19/47.03 tff(31906,plain,(~(constB19 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.19/47.03 tff(31907,assumption,(constB31 = sK0_VarCurr), introduced(assumption)).
% 74.19/47.03 tff(31908,plain,
% 74.19/47.03 (v215(constB31) <=> v215(sK0_VarCurr)),
% 74.19/47.03 inference(monotonicity,[status(thm)],[31907])).
% 74.19/47.03 tff(31909,plain,
% 74.19/47.03 (v215(sK0_VarCurr) <=> v215(constB31)),
% 74.19/47.03 inference(symmetry,[status(thm)],[31908])).
% 74.19/47.03 tff(31910,plain,
% 74.19/47.03 (v215(constB31)),
% 74.19/47.03 inference(modus_ponens,[status(thm)],[28, 31909])).
% 74.19/47.03 tff(31911,plain,
% 74.19/47.03 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB31, bitIndex2) | (~v88(constB31, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB31, bitIndex2) | (~v88(constB31, bitIndex2)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(31912,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB31, bitIndex2) | (~v88(constB31, bitIndex2)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(31913,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB31, bitIndex2) | (~v88(constB31, bitIndex2))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[31912, 31911])).
% 74.19/47.04 tff(31914,plain,
% 74.19/47.04 (~v88(constB31, bitIndex2)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[31913, 20913, 5638])).
% 74.19/47.04 tff(31915,plain,
% 74.19/47.04 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB31, bitIndex1)) | v88(constB31, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB31, bitIndex1)) | v88(constB31, bitIndex1))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(31916,plain,
% 74.19/47.04 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB31, bitIndex1)) | v88(constB31, bitIndex1))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(31917,plain,
% 74.19/47.04 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB31, bitIndex1)) | v88(constB31, bitIndex1)),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[31916, 31915])).
% 74.19/47.04 tff(31918,plain,
% 74.19/47.04 (v88(constB31, bitIndex1)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[31917, 20927, 5669])).
% 74.19/47.04 tff(31919,plain,
% 74.19/47.04 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB31, bitIndex0)) | v88(constB31, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB31, bitIndex0)) | v88(constB31, bitIndex0))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(31920,plain,
% 74.19/47.04 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB31, bitIndex0)) | v88(constB31, bitIndex0))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(31921,plain,
% 74.19/47.04 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB31, bitIndex0)) | v88(constB31, bitIndex0)),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[31920, 31919])).
% 74.19/47.04 tff(31922,plain,
% 74.19/47.04 (v88(constB31, bitIndex0)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[31921, 6074, 5700])).
% 74.19/47.04 tff(31923,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0)) | (~v88(constB31, bitIndex1)) | v141(constB31))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0)) | (~v88(constB31, bitIndex1)) | v141(constB31))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(31924,plain,
% 74.19/47.04 ((v88(constB31, bitIndex2) | (~v88(constB31, bitIndex1)) | (~v88(constB31, bitIndex0)) | v141(constB31)) <=> (v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0)) | (~v88(constB31, bitIndex1)) | v141(constB31))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(31925,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB31, bitIndex2) | (~v88(constB31, bitIndex1)) | (~v88(constB31, bitIndex0)) | v141(constB31))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0)) | (~v88(constB31, bitIndex1)) | v141(constB31)))),
% 74.19/47.04 inference(monotonicity,[status(thm)],[31924])).
% 74.19/47.04 tff(31926,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB31, bitIndex2) | (~v88(constB31, bitIndex1)) | (~v88(constB31, bitIndex0)) | v141(constB31))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0)) | (~v88(constB31, bitIndex1)) | v141(constB31))),
% 74.19/47.04 inference(transitivity,[status(thm)],[31925, 31923])).
% 74.19/47.04 tff(31927,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB31, bitIndex2) | (~v88(constB31, bitIndex1)) | (~v88(constB31, bitIndex0)) | v141(constB31))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(31928,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0)) | (~v88(constB31, bitIndex1)) | v141(constB31)),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[31927, 31926])).
% 74.19/47.04 tff(31929,plain,
% 74.19/47.04 (v141(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[31928, 20945, 31922, 31918, 31914])).
% 74.19/47.04 tff(31930,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB31) | (~v141(constB31)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB31) | (~v141(constB31)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(31931,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB31) | (~v141(constB31)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(31932,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB31) | (~v141(constB31))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[31931, 31930])).
% 74.19/47.04 tff(31933,plain,
% 74.19/47.04 (v199(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[31932, 20959, 31929])).
% 74.19/47.04 tff(31934,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB31) | (~v199(constB31)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB31) | (~v199(constB31)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(31935,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB31) | (~v199(constB31)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(31936,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB31) | (~v199(constB31))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[31935, 31934])).
% 74.19/47.04 tff(31937,plain,
% 74.19/47.04 (v198(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[31936, 20970, 31933])).
% 74.19/47.04 tff(31938,plain,
% 74.19/47.04 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB31)) | (~v201(constB31)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB31)) | (~v201(constB31)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(31939,plain,
% 74.19/47.04 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB31)) | (~v201(constB31)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(31940,plain,
% 74.19/47.04 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB31)) | (~v201(constB31))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[31939, 31938])).
% 74.19/47.04 tff(31941,plain,
% 74.19/47.04 (~v201(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[31940, 20984, 31937])).
% 74.19/47.04 tff(31942,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB31) | (~v198(constB31)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB31) | (~v198(constB31)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(31943,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB31) | (~v198(constB31)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(31944,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB31) | (~v198(constB31))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[31943, 31942])).
% 74.19/47.04 tff(31945,plain,
% 74.19/47.04 (v197(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[31944, 20995, 31937])).
% 74.19/47.04 tff(31946,plain,
% 74.19/47.04 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB31) | (~v197(constB31)) | v201(constB31))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB31) | (~v197(constB31)) | v201(constB31))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(31947,plain,
% 74.19/47.04 (((~v197(constB31)) | v201(constB31) | v227(constB31)) <=> (v227(constB31) | (~v197(constB31)) | v201(constB31))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(31948,plain,
% 74.19/47.04 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB31)) | v201(constB31) | v227(constB31))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB31) | (~v197(constB31)) | v201(constB31)))),
% 74.19/47.04 inference(monotonicity,[status(thm)],[31947])).
% 74.19/47.04 tff(31949,plain,
% 74.19/47.04 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB31)) | v201(constB31) | v227(constB31))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB31) | (~v197(constB31)) | v201(constB31))),
% 74.19/47.04 inference(transitivity,[status(thm)],[31948, 31946])).
% 74.19/47.04 tff(31950,plain,
% 74.19/47.04 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB31)) | v201(constB31) | v227(constB31))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(31951,plain,
% 74.19/47.04 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB31) | (~v197(constB31)) | v201(constB31)),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[31950, 31949])).
% 74.19/47.04 tff(31952,plain,
% 74.19/47.04 (v227(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[31951, 21009, 31945, 31941])).
% 74.19/47.04 tff(31953,plain,
% 74.19/47.04 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB31)) | (~v223(constB31, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB31)) | (~v223(constB31, bitIndex0)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(31954,plain,
% 74.19/47.04 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB31)) | (~v223(constB31, bitIndex0)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(31955,plain,
% 74.19/47.04 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB31)) | (~v223(constB31, bitIndex0))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[31954, 31953])).
% 74.19/47.04 tff(31956,plain,
% 74.19/47.04 (~v223(constB31, bitIndex0)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[31955, 21023, 31952])).
% 74.19/47.04 tff(31957,plain,
% 74.19/47.04 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB31)) | (~v199(constB31)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB31)) | (~v199(constB31)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(31958,plain,
% 74.19/47.04 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB31)) | (~v199(constB31)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(31959,plain,
% 74.19/47.04 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB31)) | (~v199(constB31))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[31958, 31957])).
% 74.19/47.04 tff(31960,plain,
% 74.19/47.04 (~v183(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[31959, 21034, 31933])).
% 74.19/47.04 tff(31961,plain,
% 74.19/47.04 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB31) | (~v197(constB31)) | v183(constB31))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB31) | (~v197(constB31)) | v183(constB31))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(31962,plain,
% 74.19/47.04 (((~v197(constB31)) | v183(constB31) | v228(constB31)) <=> (v228(constB31) | (~v197(constB31)) | v183(constB31))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(31963,plain,
% 74.19/47.04 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB31)) | v183(constB31) | v228(constB31))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB31) | (~v197(constB31)) | v183(constB31)))),
% 74.19/47.04 inference(monotonicity,[status(thm)],[31962])).
% 74.19/47.04 tff(31964,plain,
% 74.19/47.04 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB31)) | v183(constB31) | v228(constB31))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB31) | (~v197(constB31)) | v183(constB31))),
% 74.19/47.04 inference(transitivity,[status(thm)],[31963, 31961])).
% 74.19/47.04 tff(31965,plain,
% 74.19/47.04 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB31)) | v183(constB31) | v228(constB31))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(31966,plain,
% 74.19/47.04 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB31) | (~v197(constB31)) | v183(constB31)),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[31965, 31964])).
% 74.19/47.04 tff(31967,plain,
% 74.19/47.04 (v228(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[31966, 6287, 31945, 31960])).
% 74.19/47.04 tff(31968,plain,
% 74.19/47.04 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB31)) | (~v223(constB31, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB31)) | (~v223(constB31, bitIndex1)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(31969,plain,
% 74.19/47.04 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB31)) | (~v223(constB31, bitIndex1)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(31970,plain,
% 74.19/47.04 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB31)) | (~v223(constB31, bitIndex1))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[31969, 31968])).
% 74.19/47.04 tff(31971,plain,
% 74.19/47.04 (~v223(constB31, bitIndex1)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[31970, 6301, 31967])).
% 74.19/47.04 tff(31972,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB31, bitIndex0) | v223(constB31, bitIndex1) | (~v229(constB31)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB31, bitIndex0) | v223(constB31, bitIndex1) | (~v229(constB31)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(31973,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB31, bitIndex0) | v223(constB31, bitIndex1) | (~v229(constB31)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(31974,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB31, bitIndex0) | v223(constB31, bitIndex1) | (~v229(constB31))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[31973, 31972])).
% 74.19/47.04 tff(31975,plain,
% 74.19/47.04 (~v229(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[31974, 21059, 31971, 31956])).
% 74.19/47.04 tff(31976,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB31) | (~v225(constB31)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB31) | (~v225(constB31)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(31977,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB31) | (~v225(constB31)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(31978,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB31) | (~v225(constB31))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[31977, 31976])).
% 74.19/47.04 tff(31979,plain,
% 74.19/47.04 (~v225(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[31978, 21073, 31975])).
% 74.19/47.04 tff(31980,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB31) | (~v224(constB31)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB31) | (~v224(constB31)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(31981,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB31) | (~v224(constB31)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(31982,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB31) | (~v224(constB31))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[31981, 31980])).
% 74.19/47.04 tff(31983,plain,
% 74.19/47.04 (~v224(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[31982, 21084, 31979])).
% 74.19/47.04 tff(31984,plain,
% 74.19/47.04 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB31)) | v223(constB31, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB31)) | v223(constB31, bitIndex1))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(31985,plain,
% 74.19/47.04 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB31)) | v223(constB31, bitIndex1))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(31986,plain,
% 74.19/47.04 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB31)) | v223(constB31, bitIndex1)),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[31985, 31984])).
% 74.19/47.04 tff(31987,plain,
% 74.19/47.04 (~v222(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[31986, 6315, 31971])).
% 74.19/47.04 tff(31988,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB31) | v224(constB31) | (~v236(constB31)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB31) | v224(constB31) | (~v236(constB31)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(31989,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB31) | v224(constB31) | (~v236(constB31)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(31990,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB31) | v224(constB31) | (~v236(constB31))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[31989, 31988])).
% 74.19/47.04 tff(31991,plain,
% 74.19/47.04 (v224(constB31) | (~v236(constB31))),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[31990, 6385, 31987])).
% 74.19/47.04 tff(31992,plain,
% 74.19/47.04 (~v236(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[31991, 31983])).
% 74.19/47.04 tff(31993,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB31) | (~v232(constB31)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB31) | (~v232(constB31)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(31994,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB31) | (~v232(constB31)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(31995,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB31) | (~v232(constB31))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[31994, 31993])).
% 74.19/47.04 tff(31996,plain,
% 74.19/47.04 (~v232(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[31995, 6396, 31992])).
% 74.19/47.04 tff(31997,plain,
% 74.19/47.04 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB31, bitIndex1)) | (~v140(constB31)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB31, bitIndex1)) | (~v140(constB31)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(31998,plain,
% 74.19/47.04 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB31, bitIndex1)) | (~v140(constB31)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(31999,plain,
% 74.19/47.04 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB31, bitIndex1)) | (~v140(constB31))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[31998, 31997])).
% 74.19/47.04 tff(32000,plain,
% 74.19/47.04 (~v140(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[31999, 21108, 31918])).
% 74.19/47.04 tff(32001,plain,
% 74.19/47.04 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB31, bitIndex0)) | (~v139(constB31)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB31, bitIndex0)) | (~v139(constB31)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(32002,plain,
% 74.19/47.04 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB31, bitIndex0)) | (~v139(constB31)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(32003,plain,
% 74.19/47.04 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB31, bitIndex0)) | (~v139(constB31))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[32002, 32001])).
% 74.19/47.04 tff(32004,plain,
% 74.19/47.04 (~v139(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[32003, 6085, 31922])).
% 74.19/47.04 tff(32005,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB31)) | v139(constB31) | v140(constB31))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB31)) | v139(constB31) | v140(constB31))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(32006,plain,
% 74.19/47.04 ((v140(constB31) | v139(constB31) | (~v148(constB31))) <=> ((~v148(constB31)) | v139(constB31) | v140(constB31))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(32007,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB31) | v139(constB31) | (~v148(constB31)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB31)) | v139(constB31) | v140(constB31)))),
% 74.19/47.04 inference(monotonicity,[status(thm)],[32006])).
% 74.19/47.04 tff(32008,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB31) | v139(constB31) | (~v148(constB31)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB31)) | v139(constB31) | v140(constB31))),
% 74.19/47.04 inference(transitivity,[status(thm)],[32007, 32005])).
% 74.19/47.04 tff(32009,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB31) | v139(constB31) | (~v148(constB31)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(32010,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB31)) | v139(constB31) | v140(constB31)),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[32009, 32008])).
% 74.19/47.04 tff(32011,plain,
% 74.19/47.04 (~v148(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[32010, 6410, 32004, 32000])).
% 74.19/47.04 tff(32012,plain,
% 74.19/47.04 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB31) | (~v197(constB31)) | v148(constB31))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB31) | (~v197(constB31)) | v148(constB31))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(32013,plain,
% 74.19/47.04 ((v148(constB31) | (~v197(constB31)) | v252(constB31)) <=> (v252(constB31) | (~v197(constB31)) | v148(constB31))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(32014,plain,
% 74.19/47.04 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB31) | (~v197(constB31)) | v252(constB31))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB31) | (~v197(constB31)) | v148(constB31)))),
% 74.19/47.04 inference(monotonicity,[status(thm)],[32013])).
% 74.19/47.04 tff(32015,plain,
% 74.19/47.04 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB31) | (~v197(constB31)) | v252(constB31))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB31) | (~v197(constB31)) | v148(constB31))),
% 74.19/47.04 inference(transitivity,[status(thm)],[32014, 32012])).
% 74.19/47.04 tff(32016,plain,
% 74.19/47.04 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB31) | (~v197(constB31)) | v252(constB31))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(32017,plain,
% 74.19/47.04 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB31) | (~v197(constB31)) | v148(constB31)),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[32016, 32015])).
% 74.19/47.04 tff(32018,plain,
% 74.19/47.04 (v252(constB31) | (~v197(constB31))),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[32017, 6427, 32011])).
% 74.19/47.04 tff(32019,plain,
% 74.19/47.04 (v252(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[32018, 31945])).
% 74.19/47.04 tff(32020,plain,
% 74.19/47.04 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB31)) | (~v223(constB31, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB31)) | (~v223(constB31, bitIndex3)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(32021,plain,
% 74.19/47.04 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB31)) | (~v223(constB31, bitIndex3)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(32022,plain,
% 74.19/47.04 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB31)) | (~v223(constB31, bitIndex3))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[32021, 32020])).
% 74.19/47.04 tff(32023,plain,
% 74.19/47.04 (~v223(constB31, bitIndex3)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[32022, 6441, 32019])).
% 74.19/47.04 tff(32024,plain,
% 74.19/47.04 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB31)) | v223(constB31, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB31)) | v223(constB31, bitIndex3))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(32025,plain,
% 74.19/47.04 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB31)) | v223(constB31, bitIndex3))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(32026,plain,
% 74.19/47.04 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB31)) | v223(constB31, bitIndex3)),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[32025, 32024])).
% 74.19/47.04 tff(32027,plain,
% 74.19/47.04 (~v237(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[32026, 6455, 32023])).
% 74.19/47.04 tff(32028,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB31) | v232(constB31) | (~v248(constB31)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB31) | v232(constB31) | (~v248(constB31)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(32029,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB31) | v232(constB31) | (~v248(constB31)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(32030,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB31) | v232(constB31) | (~v248(constB31))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[32029, 32028])).
% 74.19/47.04 tff(32031,plain,
% 74.19/47.04 (v232(constB31) | (~v248(constB31))),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[32030, 6469, 32027])).
% 74.19/47.04 tff(32032,plain,
% 74.19/47.04 (~v248(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[32031, 31996])).
% 74.19/47.04 tff(32033,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB31) | (~v244(constB31)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB31) | (~v244(constB31)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(32034,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB31) | (~v244(constB31)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(32035,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB31) | (~v244(constB31))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[32034, 32033])).
% 74.19/47.04 tff(32036,plain,
% 74.19/47.04 (~v244(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[32035, 6484, 32032])).
% 74.19/47.04 tff(32037,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB31) | (~v216(constB31, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB31) | (~v216(constB31, bitIndex1)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(32038,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB31) | (~v216(constB31, bitIndex1)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(32039,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB31) | (~v216(constB31, bitIndex1))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[32038, 32037])).
% 74.19/47.04 tff(32040,plain,
% 74.19/47.04 (~v216(constB31, bitIndex1)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[32039, 6495, 32036])).
% 74.19/47.04 tff(32041,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB31, bitIndex1) | (~v254(constB31)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB31, bitIndex1) | (~v254(constB31)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(32042,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB31, bitIndex1) | (~v254(constB31)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(32043,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB31, bitIndex1) | (~v254(constB31))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[32042, 32041])).
% 74.19/47.04 tff(32044,plain,
% 74.19/47.04 (~v254(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[32043, 6506, 32040])).
% 74.19/47.04 tff(32045,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB31) | (~v231(constB31)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB31) | (~v231(constB31)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(32046,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB31) | (~v231(constB31)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(32047,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB31) | (~v231(constB31))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[32046, 32045])).
% 74.19/47.04 tff(32048,plain,
% 74.19/47.04 (~v231(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[32047, 6528, 32027])).
% 74.19/47.04 tff(32049,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB31) | (~v221(constB31)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB31) | (~v221(constB31)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(32050,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB31) | (~v221(constB31)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(32051,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB31) | (~v221(constB31))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[32050, 32049])).
% 74.19/47.04 tff(32052,plain,
% 74.19/47.04 (~v221(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[32051, 21170, 31987])).
% 74.19/47.04 tff(32053,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB31) | v231(constB31) | (~v243(constB31)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB31) | v231(constB31) | (~v243(constB31)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(32054,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB31) | v231(constB31) | (~v243(constB31)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(32055,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB31) | v231(constB31) | (~v243(constB31))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[32054, 32053])).
% 74.19/47.04 tff(32056,plain,
% 74.19/47.04 (~v243(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[32055, 6542, 32052, 32048])).
% 74.19/47.04 tff(32057,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB31) | v255(constB31))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB31) | v255(constB31))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(32058,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB31) | v255(constB31))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(32059,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB31) | v255(constB31)),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[32058, 32057])).
% 74.19/47.04 tff(32060,plain,
% 74.19/47.04 (v255(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[32059, 6553, 32056])).
% 74.19/47.04 tff(32061,plain,
% 74.19/47.04 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB31)) | (~v216(constB31, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB31)) | (~v216(constB31, bitIndex2)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(32062,plain,
% 74.19/47.04 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB31)) | (~v216(constB31, bitIndex2)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(32063,plain,
% 74.19/47.04 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB31)) | (~v216(constB31, bitIndex2))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[32062, 32061])).
% 74.19/47.04 tff(32064,plain,
% 74.19/47.04 (~v216(constB31, bitIndex2)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[32063, 6564, 32060])).
% 74.19/47.04 tff(32065,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB31, bitIndex2) | (~v215(constB31)) | v254(constB31))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB31, bitIndex2) | (~v215(constB31)) | v254(constB31))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(32066,plain,
% 74.19/47.04 ((v216(constB31, bitIndex2) | v254(constB31) | (~v215(constB31))) <=> (v216(constB31, bitIndex2) | (~v215(constB31)) | v254(constB31))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(32067,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB31, bitIndex2) | v254(constB31) | (~v215(constB31)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB31, bitIndex2) | (~v215(constB31)) | v254(constB31)))),
% 74.19/47.04 inference(monotonicity,[status(thm)],[32066])).
% 74.19/47.04 tff(32068,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB31, bitIndex2) | v254(constB31) | (~v215(constB31)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB31, bitIndex2) | (~v215(constB31)) | v254(constB31))),
% 74.19/47.04 inference(transitivity,[status(thm)],[32067, 32065])).
% 74.19/47.04 tff(32069,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB31, bitIndex2) | v254(constB31) | (~v215(constB31)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(32070,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB31, bitIndex2) | (~v215(constB31)) | v254(constB31)),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[32069, 32068])).
% 74.19/47.04 tff(32071,plain,
% 74.19/47.04 ((~v215(constB31)) | v254(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[32070, 6578, 32064])).
% 74.19/47.04 tff(32072,plain,
% 74.19/47.04 (~v215(constB31)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[32071, 32044])).
% 74.19/47.04 tff(32073,plain,
% 74.19/47.04 ($false),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[32072, 31910])).
% 74.19/47.04 tff(32074,plain,(~(constB31 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.19/47.04 tff(32075,assumption,(constB27 = sK0_VarCurr), introduced(assumption)).
% 74.19/47.04 tff(32076,plain,
% 74.19/47.04 (v215(constB27) <=> v215(sK0_VarCurr)),
% 74.19/47.04 inference(monotonicity,[status(thm)],[32075])).
% 74.19/47.04 tff(32077,plain,
% 74.19/47.04 (v215(sK0_VarCurr) <=> v215(constB27)),
% 74.19/47.04 inference(symmetry,[status(thm)],[32076])).
% 74.19/47.04 tff(32078,plain,
% 74.19/47.04 (v215(constB27)),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[28, 32077])).
% 74.19/47.04 tff(32079,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB27, bitIndex1) | (~v88(constB27, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB27, bitIndex1) | (~v88(constB27, bitIndex1)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(32080,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB27, bitIndex1) | (~v88(constB27, bitIndex1)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(32081,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB27, bitIndex1) | (~v88(constB27, bitIndex1))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[32080, 32079])).
% 74.19/47.04 tff(32082,plain,
% 74.19/47.04 (~v88(constB27, bitIndex1)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[32081, 6234, 5231])).
% 74.19/47.04 tff(32083,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB27, bitIndex2) | (~v88(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB27, bitIndex2) | (~v88(constB27, bitIndex2)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(32084,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB27, bitIndex2) | (~v88(constB27, bitIndex2)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(32085,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB27, bitIndex2) | (~v88(constB27, bitIndex2))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[32084, 32083])).
% 74.19/47.04 tff(32086,plain,
% 74.19/47.04 (~v88(constB27, bitIndex2)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[32085, 20913, 5260])).
% 74.19/47.04 tff(32087,plain,
% 74.19/47.04 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB27, bitIndex0)) | v88(constB27, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB27, bitIndex0)) | v88(constB27, bitIndex0))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(32088,plain,
% 74.19/47.04 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB27, bitIndex0)) | v88(constB27, bitIndex0))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(32089,plain,
% 74.19/47.04 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB27, bitIndex0)) | v88(constB27, bitIndex0)),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[32088, 32087])).
% 74.19/47.04 tff(32090,plain,
% 74.19/47.04 (v88(constB27, bitIndex0)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[32089, 6074, 5205])).
% 74.19/47.04 tff(32091,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB27, bitIndex0)) | v88(constB27, bitIndex2) | v88(constB27, bitIndex1) | v140(constB27))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB27, bitIndex0)) | v88(constB27, bitIndex2) | v88(constB27, bitIndex1) | v140(constB27))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(32092,plain,
% 74.19/47.04 ((v88(constB27, bitIndex2) | v88(constB27, bitIndex1) | (~v88(constB27, bitIndex0)) | v140(constB27)) <=> ((~v88(constB27, bitIndex0)) | v88(constB27, bitIndex2) | v88(constB27, bitIndex1) | v140(constB27))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(32093,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB27, bitIndex2) | v88(constB27, bitIndex1) | (~v88(constB27, bitIndex0)) | v140(constB27))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB27, bitIndex0)) | v88(constB27, bitIndex2) | v88(constB27, bitIndex1) | v140(constB27)))),
% 74.19/47.04 inference(monotonicity,[status(thm)],[32092])).
% 74.19/47.04 tff(32094,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB27, bitIndex2) | v88(constB27, bitIndex1) | (~v88(constB27, bitIndex0)) | v140(constB27))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB27, bitIndex0)) | v88(constB27, bitIndex2) | v88(constB27, bitIndex1) | v140(constB27))),
% 74.19/47.04 inference(transitivity,[status(thm)],[32093, 32091])).
% 74.19/47.04 tff(32095,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB27, bitIndex2) | v88(constB27, bitIndex1) | (~v88(constB27, bitIndex0)) | v140(constB27))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(32096,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB27, bitIndex0)) | v88(constB27, bitIndex2) | v88(constB27, bitIndex1) | v140(constB27)),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[32095, 32094])).
% 74.19/47.04 tff(32097,plain,
% 74.19/47.04 (v88(constB27, bitIndex2) | v88(constB27, bitIndex1) | v140(constB27)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[32096, 27506, 32090])).
% 74.19/47.04 tff(32098,plain,
% 74.19/47.04 (v140(constB27)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[32097, 32086, 32082])).
% 74.19/47.04 tff(32099,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB27) | (~v140(constB27)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB27) | (~v140(constB27)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(32100,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB27) | (~v140(constB27)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(32101,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB27) | (~v140(constB27))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[32100, 32099])).
% 74.19/47.04 tff(32102,plain,
% 74.19/47.04 (v200(constB27)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[32101, 27520, 32098])).
% 74.19/47.04 tff(32103,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB27) | (~v200(constB27)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB27) | (~v200(constB27)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(32104,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB27) | (~v200(constB27)))),
% 74.19/47.04 inference(quant_inst,[status(thm)],[])).
% 74.19/47.04 tff(32105,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB27) | (~v200(constB27))),
% 74.19/47.04 inference(modus_ponens,[status(thm)],[32104, 32103])).
% 74.19/47.04 tff(32106,plain,
% 74.19/47.04 (v199(constB27)),
% 74.19/47.04 inference(unit_resolution,[status(thm)],[32105, 27531, 32102])).
% 74.19/47.04 tff(32107,plain,
% 74.19/47.04 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB27) | (~v199(constB27)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB27) | (~v199(constB27)))),
% 74.19/47.04 inference(rewrite,[status(thm)],[])).
% 74.19/47.04 tff(32108,plain,
% 74.19/47.04 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB27) | (~v199(constB27)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32109,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB27) | (~v199(constB27))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32108, 32107])).
% 74.19/47.05 tff(32110,plain,
% 74.19/47.05 (v198(constB27)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32109, 20970, 32106])).
% 74.19/47.05 tff(32111,plain,
% 74.19/47.05 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB27)) | (~v201(constB27)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB27)) | (~v201(constB27)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32112,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB27)) | (~v201(constB27)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32113,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB27)) | (~v201(constB27))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32112, 32111])).
% 74.19/47.05 tff(32114,plain,
% 74.19/47.05 (~v201(constB27)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32113, 20984, 32110])).
% 74.19/47.05 tff(32115,plain,
% 74.19/47.05 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB27) | (~v198(constB27)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB27) | (~v198(constB27)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32116,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB27) | (~v198(constB27)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32117,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB27) | (~v198(constB27))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32116, 32115])).
% 74.19/47.05 tff(32118,plain,
% 74.19/47.05 (v197(constB27)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32117, 20995, 32110])).
% 74.19/47.05 tff(32119,plain,
% 74.19/47.05 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB27) | v201(constB27) | (~v197(constB27)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB27) | v201(constB27) | (~v197(constB27)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32120,plain,
% 74.19/47.05 (((~v197(constB27)) | v201(constB27) | v227(constB27)) <=> (v227(constB27) | v201(constB27) | (~v197(constB27)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32121,plain,
% 74.19/47.05 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB27)) | v201(constB27) | v227(constB27))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB27) | v201(constB27) | (~v197(constB27))))),
% 74.19/47.05 inference(monotonicity,[status(thm)],[32120])).
% 74.19/47.05 tff(32122,plain,
% 74.19/47.05 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB27)) | v201(constB27) | v227(constB27))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB27) | v201(constB27) | (~v197(constB27)))),
% 74.19/47.05 inference(transitivity,[status(thm)],[32121, 32119])).
% 74.19/47.05 tff(32123,plain,
% 74.19/47.05 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB27)) | v201(constB27) | v227(constB27))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32124,plain,
% 74.19/47.05 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB27) | v201(constB27) | (~v197(constB27))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32123, 32122])).
% 74.19/47.05 tff(32125,plain,
% 74.19/47.05 (v227(constB27)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32124, 21009, 32118, 32114])).
% 74.19/47.05 tff(32126,plain,
% 74.19/47.05 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB27)) | (~v223(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB27)) | (~v223(constB27, bitIndex0)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32127,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB27)) | (~v223(constB27, bitIndex0)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32128,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB27)) | (~v223(constB27, bitIndex0))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32127, 32126])).
% 74.19/47.05 tff(32129,plain,
% 74.19/47.05 (~v223(constB27, bitIndex0)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32128, 21023, 32125])).
% 74.19/47.05 tff(32130,plain,
% 74.19/47.05 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB27)) | (~v199(constB27)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB27)) | (~v199(constB27)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32131,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB27)) | (~v199(constB27)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32132,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB27)) | (~v199(constB27))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32131, 32130])).
% 74.19/47.05 tff(32133,plain,
% 74.19/47.05 (~v183(constB27)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32132, 21034, 32106])).
% 74.19/47.05 tff(32134,plain,
% 74.19/47.05 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB27) | (~v197(constB27)) | v183(constB27))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB27) | (~v197(constB27)) | v183(constB27))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32135,plain,
% 74.19/47.05 (((~v197(constB27)) | v183(constB27) | v228(constB27)) <=> (v228(constB27) | (~v197(constB27)) | v183(constB27))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32136,plain,
% 74.19/47.05 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB27)) | v183(constB27) | v228(constB27))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB27) | (~v197(constB27)) | v183(constB27)))),
% 74.19/47.05 inference(monotonicity,[status(thm)],[32135])).
% 74.19/47.05 tff(32137,plain,
% 74.19/47.05 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB27)) | v183(constB27) | v228(constB27))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB27) | (~v197(constB27)) | v183(constB27))),
% 74.19/47.05 inference(transitivity,[status(thm)],[32136, 32134])).
% 74.19/47.05 tff(32138,plain,
% 74.19/47.05 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB27)) | v183(constB27) | v228(constB27))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32139,plain,
% 74.19/47.05 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB27) | (~v197(constB27)) | v183(constB27)),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32138, 32137])).
% 74.19/47.05 tff(32140,plain,
% 74.19/47.05 (v228(constB27)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32139, 6287, 32118, 32133])).
% 74.19/47.05 tff(32141,plain,
% 74.19/47.05 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB27)) | (~v223(constB27, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB27)) | (~v223(constB27, bitIndex1)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32142,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB27)) | (~v223(constB27, bitIndex1)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32143,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB27)) | (~v223(constB27, bitIndex1))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32142, 32141])).
% 74.19/47.05 tff(32144,plain,
% 74.19/47.05 (~v223(constB27, bitIndex1)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32143, 6301, 32140])).
% 74.19/47.05 tff(32145,plain,
% 74.19/47.05 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB27, bitIndex1) | v223(constB27, bitIndex0) | (~v229(constB27)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB27, bitIndex1) | v223(constB27, bitIndex0) | (~v229(constB27)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32146,plain,
% 74.19/47.05 ((v223(constB27, bitIndex0) | v223(constB27, bitIndex1) | (~v229(constB27))) <=> (v223(constB27, bitIndex1) | v223(constB27, bitIndex0) | (~v229(constB27)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32147,plain,
% 74.19/47.05 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB27, bitIndex0) | v223(constB27, bitIndex1) | (~v229(constB27)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB27, bitIndex1) | v223(constB27, bitIndex0) | (~v229(constB27))))),
% 74.19/47.05 inference(monotonicity,[status(thm)],[32146])).
% 74.19/47.05 tff(32148,plain,
% 74.19/47.05 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB27, bitIndex0) | v223(constB27, bitIndex1) | (~v229(constB27)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB27, bitIndex1) | v223(constB27, bitIndex0) | (~v229(constB27)))),
% 74.19/47.05 inference(transitivity,[status(thm)],[32147, 32145])).
% 74.19/47.05 tff(32149,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB27, bitIndex0) | v223(constB27, bitIndex1) | (~v229(constB27)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32150,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB27, bitIndex1) | v223(constB27, bitIndex0) | (~v229(constB27))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32149, 32148])).
% 74.19/47.05 tff(32151,plain,
% 74.19/47.05 (~v229(constB27)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32150, 21059, 32144, 32129])).
% 74.19/47.05 tff(32152,plain,
% 74.19/47.05 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB27) | (~v225(constB27)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB27) | (~v225(constB27)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32153,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB27) | (~v225(constB27)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32154,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB27) | (~v225(constB27))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32153, 32152])).
% 74.19/47.05 tff(32155,plain,
% 74.19/47.05 (~v225(constB27)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32154, 21073, 32151])).
% 74.19/47.05 tff(32156,plain,
% 74.19/47.05 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB27)) | (~v200(constB27)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB27)) | (~v200(constB27)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32157,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB27)) | (~v200(constB27)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32158,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB27)) | (~v200(constB27))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32157, 32156])).
% 74.19/47.05 tff(32159,plain,
% 74.19/47.05 (~v166(constB27)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32158, 27591, 32102])).
% 74.19/47.05 tff(32160,plain,
% 74.19/47.05 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB27) | v166(constB27) | (~v197(constB27)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB27) | v166(constB27) | (~v197(constB27)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32161,plain,
% 74.19/47.05 (((~v197(constB27)) | v166(constB27) | v241(constB27)) <=> (v241(constB27) | v166(constB27) | (~v197(constB27)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32162,plain,
% 74.19/47.05 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB27)) | v166(constB27) | v241(constB27))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB27) | v166(constB27) | (~v197(constB27))))),
% 74.19/47.05 inference(monotonicity,[status(thm)],[32161])).
% 74.19/47.05 tff(32163,plain,
% 74.19/47.05 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB27)) | v166(constB27) | v241(constB27))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB27) | v166(constB27) | (~v197(constB27)))),
% 74.19/47.05 inference(transitivity,[status(thm)],[32162, 32160])).
% 74.19/47.05 tff(32164,plain,
% 74.19/47.05 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB27)) | v166(constB27) | v241(constB27))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32165,plain,
% 74.19/47.05 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB27) | v166(constB27) | (~v197(constB27))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32164, 32163])).
% 74.19/47.05 tff(32166,plain,
% 74.19/47.05 (v241(constB27) | (~v197(constB27))),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32165, 6343, 32159])).
% 74.19/47.05 tff(32167,plain,
% 74.19/47.05 (v241(constB27)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32166, 32118])).
% 74.19/47.05 tff(32168,plain,
% 74.19/47.05 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB27)) | (~v223(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB27)) | (~v223(constB27, bitIndex2)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32169,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB27)) | (~v223(constB27, bitIndex2)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32170,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB27)) | (~v223(constB27, bitIndex2))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32169, 32168])).
% 74.19/47.05 tff(32171,plain,
% 74.19/47.05 (~v223(constB27, bitIndex2)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32170, 6357, 32167])).
% 74.19/47.05 tff(32172,plain,
% 74.19/47.05 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB27) | v223(constB27, bitIndex2) | (~v242(constB27)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB27) | v223(constB27, bitIndex2) | (~v242(constB27)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32173,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB27) | v223(constB27, bitIndex2) | (~v242(constB27)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32174,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB27) | v223(constB27, bitIndex2) | (~v242(constB27))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32173, 32172])).
% 74.19/47.05 tff(32175,plain,
% 74.19/47.05 (v225(constB27) | (~v242(constB27))),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32174, 27617, 32171])).
% 74.19/47.05 tff(32176,plain,
% 74.19/47.05 (~v242(constB27)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32175, 32155])).
% 74.19/47.05 tff(32177,plain,
% 74.19/47.05 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB27) | (~v238(constB27)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB27) | (~v238(constB27)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32178,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB27) | (~v238(constB27)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32179,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB27) | (~v238(constB27))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32178, 32177])).
% 74.19/47.05 tff(32180,plain,
% 74.19/47.05 (~v238(constB27)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32179, 27632, 32176])).
% 74.19/47.05 tff(32181,plain,
% 74.19/47.05 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB27) | (~v237(constB27)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB27) | (~v237(constB27)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32182,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB27) | (~v237(constB27)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32183,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB27) | (~v237(constB27))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32182, 32181])).
% 74.19/47.05 tff(32184,plain,
% 74.19/47.05 (~v237(constB27)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32183, 27643, 32180])).
% 74.19/47.05 tff(32185,plain,
% 74.19/47.05 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB27)) | v223(constB27, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB27)) | v223(constB27, bitIndex2))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32186,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB27)) | v223(constB27, bitIndex2))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32187,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB27)) | v223(constB27, bitIndex2)),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32186, 32185])).
% 74.19/47.05 tff(32188,plain,
% 74.19/47.05 (~v224(constB27)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32187, 6371, 32171])).
% 74.19/47.05 tff(32189,plain,
% 74.19/47.05 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB27)) | v223(constB27, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB27)) | v223(constB27, bitIndex1))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32190,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB27)) | v223(constB27, bitIndex1))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32191,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB27)) | v223(constB27, bitIndex1)),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32190, 32189])).
% 74.19/47.05 tff(32192,plain,
% 74.19/47.05 (~v222(constB27)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32191, 6315, 32144])).
% 74.19/47.05 tff(32193,plain,
% 74.19/47.05 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB27) | v224(constB27) | (~v236(constB27)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB27) | v224(constB27) | (~v236(constB27)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32194,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB27) | v224(constB27) | (~v236(constB27)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32195,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB27) | v224(constB27) | (~v236(constB27))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32194, 32193])).
% 74.19/47.05 tff(32196,plain,
% 74.19/47.05 (~v236(constB27)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32195, 6385, 32192, 32188])).
% 74.19/47.05 tff(32197,plain,
% 74.19/47.05 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB27) | (~v232(constB27)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB27) | (~v232(constB27)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32198,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB27) | (~v232(constB27)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32199,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB27) | (~v232(constB27))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32198, 32197])).
% 74.19/47.05 tff(32200,plain,
% 74.19/47.05 (~v232(constB27)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32199, 6396, 32196])).
% 74.19/47.05 tff(32201,plain,
% 74.19/47.05 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB27) | v232(constB27) | (~v248(constB27)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB27) | v232(constB27) | (~v248(constB27)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32202,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB27) | v232(constB27) | (~v248(constB27)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32203,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB27) | v232(constB27) | (~v248(constB27))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32202, 32201])).
% 74.19/47.05 tff(32204,plain,
% 74.19/47.05 (v237(constB27) | (~v248(constB27))),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32203, 6469, 32200])).
% 74.19/47.05 tff(32205,plain,
% 74.19/47.05 (~v248(constB27)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32204, 32184])).
% 74.19/47.05 tff(32206,plain,
% 74.19/47.05 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB27) | (~v244(constB27)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB27) | (~v244(constB27)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32207,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB27) | (~v244(constB27)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32208,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB27) | (~v244(constB27))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32207, 32206])).
% 74.19/47.05 tff(32209,plain,
% 74.19/47.05 (~v244(constB27)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32208, 6484, 32205])).
% 74.19/47.05 tff(32210,plain,
% 74.19/47.05 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB27) | (~v216(constB27, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB27) | (~v216(constB27, bitIndex1)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32211,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB27) | (~v216(constB27, bitIndex1)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32212,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB27) | (~v216(constB27, bitIndex1))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32211, 32210])).
% 74.19/47.05 tff(32213,plain,
% 74.19/47.05 (~v216(constB27, bitIndex1)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32212, 6495, 32209])).
% 74.19/47.05 tff(32214,plain,
% 74.19/47.05 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB27, bitIndex1) | (~v254(constB27)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB27, bitIndex1) | (~v254(constB27)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32215,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB27, bitIndex1) | (~v254(constB27)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32216,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB27, bitIndex1) | (~v254(constB27))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32215, 32214])).
% 74.19/47.05 tff(32217,plain,
% 74.19/47.05 (~v254(constB27)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32216, 6506, 32213])).
% 74.19/47.05 tff(32218,plain,
% 74.19/47.05 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB27) | (~v231(constB27)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB27) | (~v231(constB27)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32219,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB27) | (~v231(constB27)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32220,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB27) | (~v231(constB27))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32219, 32218])).
% 74.19/47.05 tff(32221,plain,
% 74.19/47.05 (~v231(constB27)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32220, 27687, 32200])).
% 74.19/47.05 tff(32222,plain,
% 74.19/47.05 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB27) | (~v221(constB27)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB27) | (~v221(constB27)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32223,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB27) | (~v221(constB27)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32224,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB27) | (~v221(constB27))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32223, 32222])).
% 74.19/47.05 tff(32225,plain,
% 74.19/47.05 (~v221(constB27)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32224, 21170, 32192])).
% 74.19/47.05 tff(32226,plain,
% 74.19/47.05 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB27) | v231(constB27) | (~v243(constB27)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB27) | v231(constB27) | (~v243(constB27)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32227,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB27) | v231(constB27) | (~v243(constB27)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32228,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB27) | v231(constB27) | (~v243(constB27))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32227, 32226])).
% 74.19/47.05 tff(32229,plain,
% 74.19/47.05 (v231(constB27) | (~v243(constB27))),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32228, 6542, 32225])).
% 74.19/47.05 tff(32230,plain,
% 74.19/47.05 (~v243(constB27)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32229, 32221])).
% 74.19/47.05 tff(32231,plain,
% 74.19/47.05 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB27) | v255(constB27))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB27) | v255(constB27))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32232,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB27) | v255(constB27))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32233,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB27) | v255(constB27)),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32232, 32231])).
% 74.19/47.05 tff(32234,plain,
% 74.19/47.05 (v255(constB27)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32233, 6553, 32230])).
% 74.19/47.05 tff(32235,plain,
% 74.19/47.05 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB27)) | (~v216(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB27)) | (~v216(constB27, bitIndex2)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32236,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB27)) | (~v216(constB27, bitIndex2)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32237,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB27)) | (~v216(constB27, bitIndex2))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32236, 32235])).
% 74.19/47.05 tff(32238,plain,
% 74.19/47.05 (~v216(constB27, bitIndex2)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32237, 6564, 32234])).
% 74.19/47.05 tff(32239,plain,
% 74.19/47.05 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB27, bitIndex2) | v254(constB27) | (~v215(constB27)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB27, bitIndex2) | v254(constB27) | (~v215(constB27)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32240,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB27, bitIndex2) | v254(constB27) | (~v215(constB27)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32241,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB27, bitIndex2) | v254(constB27) | (~v215(constB27))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32240, 32239])).
% 74.19/47.05 tff(32242,plain,
% 74.19/47.05 (v254(constB27) | (~v215(constB27))),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32241, 6578, 32238])).
% 74.19/47.05 tff(32243,plain,
% 74.19/47.05 (~v215(constB27)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32242, 32217])).
% 74.19/47.05 tff(32244,plain,
% 74.19/47.05 ($false),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32243, 32078])).
% 74.19/47.05 tff(32245,plain,(~(constB27 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.19/47.05 tff(32246,assumption,(constB139 = sK0_VarCurr), introduced(assumption)).
% 74.19/47.05 tff(32247,plain,
% 74.19/47.05 (v215(constB139) <=> v215(sK0_VarCurr)),
% 74.19/47.05 inference(monotonicity,[status(thm)],[32246])).
% 74.19/47.05 tff(32248,plain,
% 74.19/47.05 (v215(sK0_VarCurr) <=> v215(constB139)),
% 74.19/47.05 inference(symmetry,[status(thm)],[32247])).
% 74.19/47.05 tff(32249,plain,
% 74.19/47.05 (v215(constB139)),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[28, 32248])).
% 74.19/47.05 tff(32250,plain,
% 74.19/47.05 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB139, bitIndex2) | (~v88(constB139, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB139, bitIndex2) | (~v88(constB139, bitIndex2)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32251,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB139, bitIndex2) | (~v88(constB139, bitIndex2)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32252,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB139, bitIndex2) | (~v88(constB139, bitIndex2))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32251, 32250])).
% 74.19/47.05 tff(32253,plain,
% 74.19/47.05 (~v88(constB139, bitIndex2)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32252, 20913, 20234])).
% 74.19/47.05 tff(32254,plain,
% 74.19/47.05 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB139, bitIndex0)) | v88(constB139, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB139, bitIndex0)) | v88(constB139, bitIndex0))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32255,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB139, bitIndex0)) | v88(constB139, bitIndex0))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32256,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB139, bitIndex0)) | v88(constB139, bitIndex0)),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32255, 32254])).
% 74.19/47.05 tff(32257,plain,
% 74.19/47.05 (v88(constB139, bitIndex0)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32256, 6074, 20311])).
% 74.19/47.05 tff(32258,plain,
% 74.19/47.05 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32259,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32260,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB139, bitIndex1)) | v88(constB139, bitIndex1)),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32259, 32258])).
% 74.19/47.05 tff(32261,plain,
% 74.19/47.05 (v88(constB139, bitIndex1)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32260, 20927, 20243])).
% 74.19/47.05 tff(32262,plain,
% 74.19/47.05 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0)) | v141(constB139))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0)) | v141(constB139))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32263,plain,
% 74.19/47.05 ((v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0)) | v141(constB139)) <=> ((~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0)) | v141(constB139))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32264,plain,
% 74.19/47.05 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0)) | v141(constB139))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0)) | v141(constB139)))),
% 74.19/47.05 inference(monotonicity,[status(thm)],[32263])).
% 74.19/47.05 tff(32265,plain,
% 74.19/47.05 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0)) | v141(constB139))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0)) | v141(constB139))),
% 74.19/47.05 inference(transitivity,[status(thm)],[32264, 32262])).
% 74.19/47.05 tff(32266,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0)) | v141(constB139))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32267,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0)) | v141(constB139)),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32266, 32265])).
% 74.19/47.05 tff(32268,plain,
% 74.19/47.05 (v141(constB139)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32267, 20945, 32261, 32257, 32253])).
% 74.19/47.05 tff(32269,plain,
% 74.19/47.05 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB139) | (~v141(constB139)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB139) | (~v141(constB139)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32270,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB139) | (~v141(constB139)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32271,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB139) | (~v141(constB139))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32270, 32269])).
% 74.19/47.05 tff(32272,plain,
% 74.19/47.05 (v199(constB139)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32271, 20959, 32268])).
% 74.19/47.05 tff(32273,plain,
% 74.19/47.05 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB139) | (~v199(constB139)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB139) | (~v199(constB139)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32274,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB139) | (~v199(constB139)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32275,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB139) | (~v199(constB139))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32274, 32273])).
% 74.19/47.05 tff(32276,plain,
% 74.19/47.05 (v198(constB139)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32275, 20970, 32272])).
% 74.19/47.05 tff(32277,plain,
% 74.19/47.05 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB139)) | (~v201(constB139)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB139)) | (~v201(constB139)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32278,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB139)) | (~v201(constB139)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32279,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB139)) | (~v201(constB139))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32278, 32277])).
% 74.19/47.05 tff(32280,plain,
% 74.19/47.05 (~v201(constB139)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32279, 20984, 32276])).
% 74.19/47.05 tff(32281,plain,
% 74.19/47.05 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB139) | (~v198(constB139)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB139) | (~v198(constB139)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32282,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB139) | (~v198(constB139)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32283,plain,
% 74.19/47.05 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB139) | (~v198(constB139))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32282, 32281])).
% 74.19/47.05 tff(32284,plain,
% 74.19/47.05 (v197(constB139)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32283, 20995, 32276])).
% 74.19/47.05 tff(32285,plain,
% 74.19/47.05 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB139) | (~v197(constB139)) | v201(constB139))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB139) | (~v197(constB139)) | v201(constB139))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32286,plain,
% 74.19/47.05 (((~v197(constB139)) | v201(constB139) | v227(constB139)) <=> (v227(constB139) | (~v197(constB139)) | v201(constB139))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32287,plain,
% 74.19/47.05 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB139)) | v201(constB139) | v227(constB139))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB139) | (~v197(constB139)) | v201(constB139)))),
% 74.19/47.05 inference(monotonicity,[status(thm)],[32286])).
% 74.19/47.05 tff(32288,plain,
% 74.19/47.05 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB139)) | v201(constB139) | v227(constB139))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB139) | (~v197(constB139)) | v201(constB139))),
% 74.19/47.05 inference(transitivity,[status(thm)],[32287, 32285])).
% 74.19/47.05 tff(32289,plain,
% 74.19/47.05 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB139)) | v201(constB139) | v227(constB139))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32290,plain,
% 74.19/47.05 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB139) | (~v197(constB139)) | v201(constB139)),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32289, 32288])).
% 74.19/47.05 tff(32291,plain,
% 74.19/47.05 (v227(constB139)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32290, 21009, 32284, 32280])).
% 74.19/47.05 tff(32292,plain,
% 74.19/47.05 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB139)) | (~v223(constB139, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB139)) | (~v223(constB139, bitIndex0)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32293,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB139)) | (~v223(constB139, bitIndex0)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32294,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB139)) | (~v223(constB139, bitIndex0))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32293, 32292])).
% 74.19/47.05 tff(32295,plain,
% 74.19/47.05 (~v223(constB139, bitIndex0)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32294, 21023, 32291])).
% 74.19/47.05 tff(32296,plain,
% 74.19/47.05 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB139)) | (~v199(constB139)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB139)) | (~v199(constB139)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32297,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB139)) | (~v199(constB139)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32298,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB139)) | (~v199(constB139))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32297, 32296])).
% 74.19/47.05 tff(32299,plain,
% 74.19/47.05 (~v183(constB139)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32298, 21034, 32272])).
% 74.19/47.05 tff(32300,plain,
% 74.19/47.05 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB139) | v183(constB139) | (~v197(constB139)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB139) | v183(constB139) | (~v197(constB139)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32301,plain,
% 74.19/47.05 (((~v197(constB139)) | v183(constB139) | v228(constB139)) <=> (v228(constB139) | v183(constB139) | (~v197(constB139)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32302,plain,
% 74.19/47.05 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB139)) | v183(constB139) | v228(constB139))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB139) | v183(constB139) | (~v197(constB139))))),
% 74.19/47.05 inference(monotonicity,[status(thm)],[32301])).
% 74.19/47.05 tff(32303,plain,
% 74.19/47.05 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB139)) | v183(constB139) | v228(constB139))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB139) | v183(constB139) | (~v197(constB139)))),
% 74.19/47.05 inference(transitivity,[status(thm)],[32302, 32300])).
% 74.19/47.05 tff(32304,plain,
% 74.19/47.05 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB139)) | v183(constB139) | v228(constB139))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32305,plain,
% 74.19/47.05 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB139) | v183(constB139) | (~v197(constB139))),
% 74.19/47.05 inference(modus_ponens,[status(thm)],[32304, 32303])).
% 74.19/47.05 tff(32306,plain,
% 74.19/47.05 (v228(constB139)),
% 74.19/47.05 inference(unit_resolution,[status(thm)],[32305, 6287, 32284, 32299])).
% 74.19/47.05 tff(32307,plain,
% 74.19/47.05 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB139)) | (~v223(constB139, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB139)) | (~v223(constB139, bitIndex1)))),
% 74.19/47.05 inference(rewrite,[status(thm)],[])).
% 74.19/47.05 tff(32308,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB139)) | (~v223(constB139, bitIndex1)))),
% 74.19/47.05 inference(quant_inst,[status(thm)],[])).
% 74.19/47.05 tff(32309,plain,
% 74.19/47.05 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB139)) | (~v223(constB139, bitIndex1))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32308, 32307])).
% 74.19/47.06 tff(32310,plain,
% 74.19/47.06 (~v223(constB139, bitIndex1)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32309, 6301, 32306])).
% 74.19/47.06 tff(32311,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB139, bitIndex1) | (~v229(constB139)) | v223(constB139, bitIndex0))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB139, bitIndex1) | (~v229(constB139)) | v223(constB139, bitIndex0))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32312,plain,
% 74.19/47.06 ((v223(constB139, bitIndex0) | v223(constB139, bitIndex1) | (~v229(constB139))) <=> (v223(constB139, bitIndex1) | (~v229(constB139)) | v223(constB139, bitIndex0))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32313,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB139, bitIndex0) | v223(constB139, bitIndex1) | (~v229(constB139)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB139, bitIndex1) | (~v229(constB139)) | v223(constB139, bitIndex0)))),
% 74.19/47.06 inference(monotonicity,[status(thm)],[32312])).
% 74.19/47.06 tff(32314,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB139, bitIndex0) | v223(constB139, bitIndex1) | (~v229(constB139)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB139, bitIndex1) | (~v229(constB139)) | v223(constB139, bitIndex0))),
% 74.19/47.06 inference(transitivity,[status(thm)],[32313, 32311])).
% 74.19/47.06 tff(32315,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB139, bitIndex0) | v223(constB139, bitIndex1) | (~v229(constB139)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32316,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB139, bitIndex1) | (~v229(constB139)) | v223(constB139, bitIndex0)),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32315, 32314])).
% 74.19/47.06 tff(32317,plain,
% 74.19/47.06 ((~v229(constB139)) | v223(constB139, bitIndex0)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32316, 21059, 32310])).
% 74.19/47.06 tff(32318,plain,
% 74.19/47.06 (~v229(constB139)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32317, 32295])).
% 74.19/47.06 tff(32319,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB139) | (~v225(constB139)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB139) | (~v225(constB139)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32320,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB139) | (~v225(constB139)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32321,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB139) | (~v225(constB139))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32320, 32319])).
% 74.19/47.06 tff(32322,plain,
% 74.19/47.06 (~v225(constB139)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32321, 21073, 32318])).
% 74.19/47.06 tff(32323,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB139) | (~v224(constB139)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB139) | (~v224(constB139)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32324,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB139) | (~v224(constB139)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32325,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB139) | (~v224(constB139))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32324, 32323])).
% 74.19/47.06 tff(32326,plain,
% 74.19/47.06 (~v224(constB139)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32325, 21084, 32322])).
% 74.19/47.06 tff(32327,plain,
% 74.19/47.06 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB139)) | v223(constB139, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB139)) | v223(constB139, bitIndex1))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32328,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB139)) | v223(constB139, bitIndex1))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32329,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB139)) | v223(constB139, bitIndex1)),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32328, 32327])).
% 74.19/47.06 tff(32330,plain,
% 74.19/47.06 (~v222(constB139)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32329, 6315, 32310])).
% 74.19/47.06 tff(32331,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB139) | v224(constB139) | (~v236(constB139)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB139) | v224(constB139) | (~v236(constB139)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32332,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB139) | v224(constB139) | (~v236(constB139)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32333,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB139) | v224(constB139) | (~v236(constB139))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32332, 32331])).
% 74.19/47.06 tff(32334,plain,
% 74.19/47.06 (v224(constB139) | (~v236(constB139))),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32333, 6385, 32330])).
% 74.19/47.06 tff(32335,plain,
% 74.19/47.06 (~v236(constB139)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32334, 32326])).
% 74.19/47.06 tff(32336,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB139) | (~v232(constB139)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB139) | (~v232(constB139)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32337,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB139) | (~v232(constB139)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32338,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB139) | (~v232(constB139))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32337, 32336])).
% 74.19/47.06 tff(32339,plain,
% 74.19/47.06 (~v232(constB139)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32338, 6396, 32335])).
% 74.19/47.06 tff(32340,plain,
% 74.19/47.06 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr))) <=> ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr))))),
% 74.19/47.06 inference(bind,[status(th)],[])).
% 74.19/47.06 tff(32341,plain,
% 74.19/47.06 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))),
% 74.19/47.06 inference(quant_intro,[status(thm)],[32340])).
% 74.19/47.06 tff(32342,plain,
% 74.19/47.06 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32343,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_3')).
% 74.19/47.06 tff(32344,plain,
% 74.19/47.06 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32343, 32342])).
% 74.19/47.06 tff(32345,plain,(
% 74.19/47.06 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))),
% 74.19/47.06 inference(skolemize,[status(sab)],[32344])).
% 74.19/47.06 tff(32346,plain,
% 74.19/47.06 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32345, 32341])).
% 74.19/47.06 tff(32347,plain,
% 74.19/47.06 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB139, bitIndex1)) | (~v139(constB139)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB139, bitIndex1)) | (~v139(constB139)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32348,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB139, bitIndex1)) | (~v139(constB139)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32349,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB139, bitIndex1)) | (~v139(constB139))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32348, 32347])).
% 74.19/47.06 tff(32350,plain,
% 74.19/47.06 (~v139(constB139)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32349, 32346, 32261])).
% 74.19/47.06 tff(32351,plain,
% 74.19/47.06 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB139, bitIndex1)) | (~v140(constB139)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB139, bitIndex1)) | (~v140(constB139)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32352,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB139, bitIndex1)) | (~v140(constB139)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32353,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB139, bitIndex1)) | (~v140(constB139))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32352, 32351])).
% 74.19/47.06 tff(32354,plain,
% 74.19/47.06 (~v140(constB139)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32353, 21108, 32261])).
% 74.19/47.06 tff(32355,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v139(constB139) | v140(constB139) | (~v148(constB139)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v139(constB139) | v140(constB139) | (~v148(constB139)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32356,plain,
% 74.19/47.06 ((v140(constB139) | v139(constB139) | (~v148(constB139))) <=> (v139(constB139) | v140(constB139) | (~v148(constB139)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32357,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB139) | v139(constB139) | (~v148(constB139)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v139(constB139) | v140(constB139) | (~v148(constB139))))),
% 74.19/47.06 inference(monotonicity,[status(thm)],[32356])).
% 74.19/47.06 tff(32358,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB139) | v139(constB139) | (~v148(constB139)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v139(constB139) | v140(constB139) | (~v148(constB139)))),
% 74.19/47.06 inference(transitivity,[status(thm)],[32357, 32355])).
% 74.19/47.06 tff(32359,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB139) | v139(constB139) | (~v148(constB139)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32360,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v139(constB139) | v140(constB139) | (~v148(constB139))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32359, 32358])).
% 74.19/47.06 tff(32361,plain,
% 74.19/47.06 (~v148(constB139)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32360, 6410, 32354, 32350])).
% 74.19/47.06 tff(32362,plain,
% 74.19/47.06 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB139) | v148(constB139) | (~v197(constB139)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB139) | v148(constB139) | (~v197(constB139)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32363,plain,
% 74.19/47.06 ((v148(constB139) | (~v197(constB139)) | v252(constB139)) <=> (v252(constB139) | v148(constB139) | (~v197(constB139)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32364,plain,
% 74.19/47.06 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB139) | (~v197(constB139)) | v252(constB139))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB139) | v148(constB139) | (~v197(constB139))))),
% 74.19/47.06 inference(monotonicity,[status(thm)],[32363])).
% 74.19/47.06 tff(32365,plain,
% 74.19/47.06 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB139) | (~v197(constB139)) | v252(constB139))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB139) | v148(constB139) | (~v197(constB139)))),
% 74.19/47.06 inference(transitivity,[status(thm)],[32364, 32362])).
% 74.19/47.06 tff(32366,plain,
% 74.19/47.06 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB139) | (~v197(constB139)) | v252(constB139))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32367,plain,
% 74.19/47.06 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB139) | v148(constB139) | (~v197(constB139))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32366, 32365])).
% 74.19/47.06 tff(32368,plain,
% 74.19/47.06 (v252(constB139) | (~v197(constB139))),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32367, 6427, 32361])).
% 74.19/47.06 tff(32369,plain,
% 74.19/47.06 (v252(constB139)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32368, 32284])).
% 74.19/47.06 tff(32370,plain,
% 74.19/47.06 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB139)) | (~v223(constB139, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB139)) | (~v223(constB139, bitIndex3)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32371,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB139)) | (~v223(constB139, bitIndex3)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32372,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB139)) | (~v223(constB139, bitIndex3))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32371, 32370])).
% 74.19/47.06 tff(32373,plain,
% 74.19/47.06 (~v223(constB139, bitIndex3)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32372, 6441, 32369])).
% 74.19/47.06 tff(32374,plain,
% 74.19/47.06 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB139)) | v223(constB139, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB139)) | v223(constB139, bitIndex3))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32375,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB139)) | v223(constB139, bitIndex3))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32376,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB139)) | v223(constB139, bitIndex3)),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32375, 32374])).
% 74.19/47.06 tff(32377,plain,
% 74.19/47.06 (~v237(constB139)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32376, 6455, 32373])).
% 74.19/47.06 tff(32378,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB139) | v232(constB139) | (~v248(constB139)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB139) | v232(constB139) | (~v248(constB139)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32379,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB139) | v232(constB139) | (~v248(constB139)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32380,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB139) | v232(constB139) | (~v248(constB139))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32379, 32378])).
% 74.19/47.06 tff(32381,plain,
% 74.19/47.06 (v232(constB139) | (~v248(constB139))),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32380, 6469, 32377])).
% 74.19/47.06 tff(32382,plain,
% 74.19/47.06 (~v248(constB139)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32381, 32339])).
% 74.19/47.06 tff(32383,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB139) | (~v244(constB139)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB139) | (~v244(constB139)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32384,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB139) | (~v244(constB139)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32385,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB139) | (~v244(constB139))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32384, 32383])).
% 74.19/47.06 tff(32386,plain,
% 74.19/47.06 (~v244(constB139)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32385, 6484, 32382])).
% 74.19/47.06 tff(32387,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB139) | (~v216(constB139, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB139) | (~v216(constB139, bitIndex1)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32388,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB139) | (~v216(constB139, bitIndex1)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32389,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB139) | (~v216(constB139, bitIndex1))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32388, 32387])).
% 74.19/47.06 tff(32390,plain,
% 74.19/47.06 (~v216(constB139, bitIndex1)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32389, 6495, 32386])).
% 74.19/47.06 tff(32391,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB139, bitIndex1) | (~v254(constB139)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB139, bitIndex1) | (~v254(constB139)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32392,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB139, bitIndex1) | (~v254(constB139)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32393,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB139, bitIndex1) | (~v254(constB139))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32392, 32391])).
% 74.19/47.06 tff(32394,plain,
% 74.19/47.06 (~v254(constB139)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32393, 6506, 32390])).
% 74.19/47.06 tff(32395,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB139) | (~v231(constB139)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB139) | (~v231(constB139)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32396,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB139) | (~v231(constB139)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32397,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB139) | (~v231(constB139))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32396, 32395])).
% 74.19/47.06 tff(32398,plain,
% 74.19/47.06 (~v231(constB139)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32397, 6528, 32377])).
% 74.19/47.06 tff(32399,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB139) | (~v221(constB139)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB139) | (~v221(constB139)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32400,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB139) | (~v221(constB139)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32401,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB139) | (~v221(constB139))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32400, 32399])).
% 74.19/47.06 tff(32402,plain,
% 74.19/47.06 (~v221(constB139)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32401, 21170, 32330])).
% 74.19/47.06 tff(32403,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB139) | v231(constB139) | (~v243(constB139)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB139) | v231(constB139) | (~v243(constB139)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32404,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB139) | v231(constB139) | (~v243(constB139)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32405,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB139) | v231(constB139) | (~v243(constB139))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32404, 32403])).
% 74.19/47.06 tff(32406,plain,
% 74.19/47.06 (~v243(constB139)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32405, 6542, 32402, 32398])).
% 74.19/47.06 tff(32407,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB139) | v255(constB139))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB139) | v255(constB139))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32408,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB139) | v255(constB139))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32409,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB139) | v255(constB139)),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32408, 32407])).
% 74.19/47.06 tff(32410,plain,
% 74.19/47.06 (v255(constB139)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32409, 6553, 32406])).
% 74.19/47.06 tff(32411,plain,
% 74.19/47.06 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB139)) | (~v216(constB139, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB139)) | (~v216(constB139, bitIndex2)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32412,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB139)) | (~v216(constB139, bitIndex2)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32413,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB139)) | (~v216(constB139, bitIndex2))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32412, 32411])).
% 74.19/47.06 tff(32414,plain,
% 74.19/47.06 (~v216(constB139, bitIndex2)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32413, 6564, 32410])).
% 74.19/47.06 tff(32415,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB139, bitIndex2) | (~v215(constB139)) | v254(constB139))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB139, bitIndex2) | (~v215(constB139)) | v254(constB139))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32416,plain,
% 74.19/47.06 ((v216(constB139, bitIndex2) | v254(constB139) | (~v215(constB139))) <=> (v216(constB139, bitIndex2) | (~v215(constB139)) | v254(constB139))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32417,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB139, bitIndex2) | v254(constB139) | (~v215(constB139)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB139, bitIndex2) | (~v215(constB139)) | v254(constB139)))),
% 74.19/47.06 inference(monotonicity,[status(thm)],[32416])).
% 74.19/47.06 tff(32418,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB139, bitIndex2) | v254(constB139) | (~v215(constB139)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB139, bitIndex2) | (~v215(constB139)) | v254(constB139))),
% 74.19/47.06 inference(transitivity,[status(thm)],[32417, 32415])).
% 74.19/47.06 tff(32419,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB139, bitIndex2) | v254(constB139) | (~v215(constB139)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32420,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB139, bitIndex2) | (~v215(constB139)) | v254(constB139)),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32419, 32418])).
% 74.19/47.06 tff(32421,plain,
% 74.19/47.06 ((~v215(constB139)) | v254(constB139)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32420, 6578, 32414])).
% 74.19/47.06 tff(32422,plain,
% 74.19/47.06 (~v215(constB139)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32421, 32394])).
% 74.19/47.06 tff(32423,plain,
% 74.19/47.06 ($false),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32422, 32249])).
% 74.19/47.06 tff(32424,plain,(~(constB139 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.19/47.06 tff(32425,assumption,(constB147 = sK0_VarCurr), introduced(assumption)).
% 74.19/47.06 tff(32426,plain,
% 74.19/47.06 (v215(constB147) <=> v215(sK0_VarCurr)),
% 74.19/47.06 inference(monotonicity,[status(thm)],[32425])).
% 74.19/47.06 tff(32427,plain,
% 74.19/47.06 (v215(sK0_VarCurr) <=> v215(constB147)),
% 74.19/47.06 inference(symmetry,[status(thm)],[32426])).
% 74.19/47.06 tff(32428,plain,
% 74.19/47.06 (v215(constB147)),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[28, 32427])).
% 74.19/47.06 tff(32429,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB147, bitIndex1) | (~v88(constB147, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB147, bitIndex1) | (~v88(constB147, bitIndex1)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32430,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB147, bitIndex1) | (~v88(constB147, bitIndex1)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32431,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB147, bitIndex1) | (~v88(constB147, bitIndex1))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32430, 32429])).
% 74.19/47.06 tff(32432,plain,
% 74.19/47.06 (~v88(constB147, bitIndex1)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32431, 6234, 21615])).
% 74.19/47.06 tff(32433,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB147, bitIndex2) | (~v88(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB147, bitIndex2) | (~v88(constB147, bitIndex2)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32434,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB147, bitIndex2) | (~v88(constB147, bitIndex2)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32435,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB147, bitIndex2) | (~v88(constB147, bitIndex2))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32434, 32433])).
% 74.19/47.06 tff(32436,plain,
% 74.19/47.06 (~v88(constB147, bitIndex2)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32435, 20913, 21821])).
% 74.19/47.06 tff(32437,plain,
% 74.19/47.06 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB147, bitIndex0)) | v88(constB147, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB147, bitIndex0)) | v88(constB147, bitIndex0))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32438,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB147, bitIndex0)) | v88(constB147, bitIndex0))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32439,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB147, bitIndex0)) | v88(constB147, bitIndex0)),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32438, 32437])).
% 74.19/47.06 tff(32440,plain,
% 74.19/47.06 (v88(constB147, bitIndex0)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32439, 6074, 21830])).
% 74.19/47.06 tff(32441,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB147, bitIndex0)) | v88(constB147, bitIndex1) | v88(constB147, bitIndex2) | v140(constB147))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB147, bitIndex0)) | v88(constB147, bitIndex1) | v88(constB147, bitIndex2) | v140(constB147))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32442,plain,
% 74.19/47.06 ((v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0)) | v140(constB147)) <=> ((~v88(constB147, bitIndex0)) | v88(constB147, bitIndex1) | v88(constB147, bitIndex2) | v140(constB147))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32443,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0)) | v140(constB147))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB147, bitIndex0)) | v88(constB147, bitIndex1) | v88(constB147, bitIndex2) | v140(constB147)))),
% 74.19/47.06 inference(monotonicity,[status(thm)],[32442])).
% 74.19/47.06 tff(32444,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0)) | v140(constB147))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB147, bitIndex0)) | v88(constB147, bitIndex1) | v88(constB147, bitIndex2) | v140(constB147))),
% 74.19/47.06 inference(transitivity,[status(thm)],[32443, 32441])).
% 74.19/47.06 tff(32445,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB147, bitIndex2) | v88(constB147, bitIndex1) | (~v88(constB147, bitIndex0)) | v140(constB147))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32446,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB147, bitIndex0)) | v88(constB147, bitIndex1) | v88(constB147, bitIndex2) | v140(constB147)),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32445, 32444])).
% 74.19/47.06 tff(32447,plain,
% 74.19/47.06 (v88(constB147, bitIndex1) | v88(constB147, bitIndex2) | v140(constB147)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32446, 27506, 32440])).
% 74.19/47.06 tff(32448,plain,
% 74.19/47.06 (v140(constB147)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32447, 32436, 32432])).
% 74.19/47.06 tff(32449,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB147) | (~v140(constB147)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB147) | (~v140(constB147)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32450,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB147) | (~v140(constB147)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32451,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB147) | (~v140(constB147))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32450, 32449])).
% 74.19/47.06 tff(32452,plain,
% 74.19/47.06 (v200(constB147)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32451, 27520, 32448])).
% 74.19/47.06 tff(32453,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB147) | (~v200(constB147)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB147) | (~v200(constB147)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32454,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB147) | (~v200(constB147)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32455,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB147) | (~v200(constB147))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32454, 32453])).
% 74.19/47.06 tff(32456,plain,
% 74.19/47.06 (v199(constB147)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32455, 27531, 32452])).
% 74.19/47.06 tff(32457,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB147) | (~v199(constB147)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB147) | (~v199(constB147)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32458,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB147) | (~v199(constB147)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32459,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB147) | (~v199(constB147))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32458, 32457])).
% 74.19/47.06 tff(32460,plain,
% 74.19/47.06 (v198(constB147)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32459, 20970, 32456])).
% 74.19/47.06 tff(32461,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB147) | (~v198(constB147)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB147) | (~v198(constB147)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32462,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB147) | (~v198(constB147)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32463,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB147) | (~v198(constB147))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32462, 32461])).
% 74.19/47.06 tff(32464,plain,
% 74.19/47.06 (v197(constB147)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32463, 20995, 32460])).
% 74.19/47.06 tff(32465,plain,
% 74.19/47.06 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB147)) | (~v200(constB147)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB147)) | (~v200(constB147)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32466,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB147)) | (~v200(constB147)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32467,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB147)) | (~v200(constB147))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32466, 32465])).
% 74.19/47.06 tff(32468,plain,
% 74.19/47.06 (~v166(constB147)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32467, 27591, 32452])).
% 74.19/47.06 tff(32469,plain,
% 74.19/47.06 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB147) | v166(constB147) | (~v197(constB147)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB147) | v166(constB147) | (~v197(constB147)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32470,plain,
% 74.19/47.06 (((~v197(constB147)) | v166(constB147) | v241(constB147)) <=> (v241(constB147) | v166(constB147) | (~v197(constB147)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32471,plain,
% 74.19/47.06 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB147)) | v166(constB147) | v241(constB147))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB147) | v166(constB147) | (~v197(constB147))))),
% 74.19/47.06 inference(monotonicity,[status(thm)],[32470])).
% 74.19/47.06 tff(32472,plain,
% 74.19/47.06 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB147)) | v166(constB147) | v241(constB147))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB147) | v166(constB147) | (~v197(constB147)))),
% 74.19/47.06 inference(transitivity,[status(thm)],[32471, 32469])).
% 74.19/47.06 tff(32473,plain,
% 74.19/47.06 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB147)) | v166(constB147) | v241(constB147))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32474,plain,
% 74.19/47.06 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB147) | v166(constB147) | (~v197(constB147))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32473, 32472])).
% 74.19/47.06 tff(32475,plain,
% 74.19/47.06 (v241(constB147) | (~v197(constB147))),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32474, 6343, 32468])).
% 74.19/47.06 tff(32476,plain,
% 74.19/47.06 (v241(constB147)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32475, 32464])).
% 74.19/47.06 tff(32477,plain,
% 74.19/47.06 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB147)) | (~v223(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB147)) | (~v223(constB147, bitIndex2)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32478,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB147)) | (~v223(constB147, bitIndex2)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32479,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB147)) | (~v223(constB147, bitIndex2))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32478, 32477])).
% 74.19/47.06 tff(32480,plain,
% 74.19/47.06 (~v223(constB147, bitIndex2)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32479, 6357, 32476])).
% 74.19/47.06 tff(32481,plain,
% 74.19/47.06 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB147)) | v223(constB147, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB147)) | v223(constB147, bitIndex2))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32482,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB147)) | v223(constB147, bitIndex2))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32483,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB147)) | v223(constB147, bitIndex2)),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32482, 32481])).
% 74.19/47.06 tff(32484,plain,
% 74.19/47.06 (~v224(constB147)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32483, 6371, 32480])).
% 74.19/47.06 tff(32485,plain,
% 74.19/47.06 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB147)) | (~v199(constB147)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB147)) | (~v199(constB147)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32486,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB147)) | (~v199(constB147)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32487,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB147)) | (~v199(constB147))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32486, 32485])).
% 74.19/47.06 tff(32488,plain,
% 74.19/47.06 (~v183(constB147)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32487, 21034, 32456])).
% 74.19/47.06 tff(32489,plain,
% 74.19/47.06 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB147) | v183(constB147) | (~v197(constB147)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB147) | v183(constB147) | (~v197(constB147)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32490,plain,
% 74.19/47.06 (((~v197(constB147)) | v183(constB147) | v228(constB147)) <=> (v228(constB147) | v183(constB147) | (~v197(constB147)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32491,plain,
% 74.19/47.06 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB147)) | v183(constB147) | v228(constB147))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB147) | v183(constB147) | (~v197(constB147))))),
% 74.19/47.06 inference(monotonicity,[status(thm)],[32490])).
% 74.19/47.06 tff(32492,plain,
% 74.19/47.06 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB147)) | v183(constB147) | v228(constB147))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB147) | v183(constB147) | (~v197(constB147)))),
% 74.19/47.06 inference(transitivity,[status(thm)],[32491, 32489])).
% 74.19/47.06 tff(32493,plain,
% 74.19/47.06 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB147)) | v183(constB147) | v228(constB147))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32494,plain,
% 74.19/47.06 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB147) | v183(constB147) | (~v197(constB147))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32493, 32492])).
% 74.19/47.06 tff(32495,plain,
% 74.19/47.06 (v228(constB147)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32494, 6287, 32464, 32488])).
% 74.19/47.06 tff(32496,plain,
% 74.19/47.06 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB147)) | (~v223(constB147, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB147)) | (~v223(constB147, bitIndex1)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32497,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB147)) | (~v223(constB147, bitIndex1)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32498,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB147)) | (~v223(constB147, bitIndex1))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32497, 32496])).
% 74.19/47.06 tff(32499,plain,
% 74.19/47.06 (~v223(constB147, bitIndex1)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32498, 6301, 32495])).
% 74.19/47.06 tff(32500,plain,
% 74.19/47.06 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB147)) | v223(constB147, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB147)) | v223(constB147, bitIndex1))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32501,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB147)) | v223(constB147, bitIndex1))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32502,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB147)) | v223(constB147, bitIndex1)),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32501, 32500])).
% 74.19/47.06 tff(32503,plain,
% 74.19/47.06 (~v222(constB147)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32502, 6315, 32499])).
% 74.19/47.06 tff(32504,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB147) | v224(constB147) | (~v236(constB147)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB147) | v224(constB147) | (~v236(constB147)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32505,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB147) | v224(constB147) | (~v236(constB147)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32506,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB147) | v224(constB147) | (~v236(constB147))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32505, 32504])).
% 74.19/47.06 tff(32507,plain,
% 74.19/47.06 (~v236(constB147)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32506, 6385, 32503, 32484])).
% 74.19/47.06 tff(32508,plain,
% 74.19/47.06 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB147) | (~v232(constB147)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB147) | (~v232(constB147)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32509,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB147) | (~v232(constB147)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32510,plain,
% 74.19/47.06 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB147) | (~v232(constB147))),
% 74.19/47.06 inference(modus_ponens,[status(thm)],[32509, 32508])).
% 74.19/47.06 tff(32511,plain,
% 74.19/47.06 (~v232(constB147)),
% 74.19/47.06 inference(unit_resolution,[status(thm)],[32510, 6396, 32507])).
% 74.19/47.06 tff(32512,plain,
% 74.19/47.06 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB147)) | (~v201(constB147)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB147)) | (~v201(constB147)))),
% 74.19/47.06 inference(rewrite,[status(thm)],[])).
% 74.19/47.06 tff(32513,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB147)) | (~v201(constB147)))),
% 74.19/47.06 inference(quant_inst,[status(thm)],[])).
% 74.19/47.06 tff(32514,plain,
% 74.19/47.06 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB147)) | (~v201(constB147))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32513, 32512])).
% 74.19/47.07 tff(32515,plain,
% 74.19/47.07 (~v201(constB147)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32514, 20984, 32460])).
% 74.19/47.07 tff(32516,plain,
% 74.19/47.07 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB147) | v201(constB147) | (~v197(constB147)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB147) | v201(constB147) | (~v197(constB147)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32517,plain,
% 74.19/47.07 (((~v197(constB147)) | v201(constB147) | v227(constB147)) <=> (v227(constB147) | v201(constB147) | (~v197(constB147)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32518,plain,
% 74.19/47.07 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB147)) | v201(constB147) | v227(constB147))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB147) | v201(constB147) | (~v197(constB147))))),
% 74.19/47.07 inference(monotonicity,[status(thm)],[32517])).
% 74.19/47.07 tff(32519,plain,
% 74.19/47.07 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB147)) | v201(constB147) | v227(constB147))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB147) | v201(constB147) | (~v197(constB147)))),
% 74.19/47.07 inference(transitivity,[status(thm)],[32518, 32516])).
% 74.19/47.07 tff(32520,plain,
% 74.19/47.07 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB147)) | v201(constB147) | v227(constB147))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32521,plain,
% 74.19/47.07 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB147) | v201(constB147) | (~v197(constB147))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32520, 32519])).
% 74.19/47.07 tff(32522,plain,
% 74.19/47.07 (v227(constB147)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32521, 21009, 32464, 32515])).
% 74.19/47.07 tff(32523,plain,
% 74.19/47.07 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB147)) | (~v223(constB147, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB147)) | (~v223(constB147, bitIndex0)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32524,plain,
% 74.19/47.07 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB147)) | (~v223(constB147, bitIndex0)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32525,plain,
% 74.19/47.07 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB147)) | (~v223(constB147, bitIndex0))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32524, 32523])).
% 74.19/47.07 tff(32526,plain,
% 74.19/47.07 (~v223(constB147, bitIndex0)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32525, 21023, 32522])).
% 74.19/47.07 tff(32527,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB147, bitIndex1) | v223(constB147, bitIndex0) | (~v229(constB147)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB147, bitIndex1) | v223(constB147, bitIndex0) | (~v229(constB147)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32528,plain,
% 74.19/47.07 ((v223(constB147, bitIndex0) | v223(constB147, bitIndex1) | (~v229(constB147))) <=> (v223(constB147, bitIndex1) | v223(constB147, bitIndex0) | (~v229(constB147)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32529,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB147, bitIndex0) | v223(constB147, bitIndex1) | (~v229(constB147)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB147, bitIndex1) | v223(constB147, bitIndex0) | (~v229(constB147))))),
% 74.19/47.07 inference(monotonicity,[status(thm)],[32528])).
% 74.19/47.07 tff(32530,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB147, bitIndex0) | v223(constB147, bitIndex1) | (~v229(constB147)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB147, bitIndex1) | v223(constB147, bitIndex0) | (~v229(constB147)))),
% 74.19/47.07 inference(transitivity,[status(thm)],[32529, 32527])).
% 74.19/47.07 tff(32531,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB147, bitIndex0) | v223(constB147, bitIndex1) | (~v229(constB147)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32532,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB147, bitIndex1) | v223(constB147, bitIndex0) | (~v229(constB147))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32531, 32530])).
% 74.19/47.07 tff(32533,plain,
% 74.19/47.07 (~v229(constB147)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32532, 21059, 32499, 32526])).
% 74.19/47.07 tff(32534,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB147) | (~v225(constB147)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB147) | (~v225(constB147)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32535,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB147) | (~v225(constB147)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32536,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB147) | (~v225(constB147))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32535, 32534])).
% 74.19/47.07 tff(32537,plain,
% 74.19/47.07 (~v225(constB147)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32536, 21073, 32533])).
% 74.19/47.07 tff(32538,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB147) | v223(constB147, bitIndex2) | (~v242(constB147)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB147) | v223(constB147, bitIndex2) | (~v242(constB147)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32539,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB147) | v223(constB147, bitIndex2) | (~v242(constB147)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32540,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB147) | v223(constB147, bitIndex2) | (~v242(constB147))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32539, 32538])).
% 74.19/47.07 tff(32541,plain,
% 74.19/47.07 (v225(constB147) | (~v242(constB147))),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32540, 27617, 32480])).
% 74.19/47.07 tff(32542,plain,
% 74.19/47.07 (~v242(constB147)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32541, 32537])).
% 74.19/47.07 tff(32543,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB147) | (~v238(constB147)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB147) | (~v238(constB147)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32544,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB147) | (~v238(constB147)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32545,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB147) | (~v238(constB147))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32544, 32543])).
% 74.19/47.07 tff(32546,plain,
% 74.19/47.07 (~v238(constB147)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32545, 27632, 32542])).
% 74.19/47.07 tff(32547,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB147) | (~v237(constB147)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB147) | (~v237(constB147)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32548,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB147) | (~v237(constB147)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32549,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB147) | (~v237(constB147))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32548, 32547])).
% 74.19/47.07 tff(32550,plain,
% 74.19/47.07 (~v237(constB147)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32549, 27643, 32546])).
% 74.19/47.07 tff(32551,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB147) | (~v248(constB147)) | v232(constB147))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB147) | (~v248(constB147)) | v232(constB147))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32552,plain,
% 74.19/47.07 ((v237(constB147) | v232(constB147) | (~v248(constB147))) <=> (v237(constB147) | (~v248(constB147)) | v232(constB147))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32553,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB147) | v232(constB147) | (~v248(constB147)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB147) | (~v248(constB147)) | v232(constB147)))),
% 74.19/47.07 inference(monotonicity,[status(thm)],[32552])).
% 74.19/47.07 tff(32554,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB147) | v232(constB147) | (~v248(constB147)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB147) | (~v248(constB147)) | v232(constB147))),
% 74.19/47.07 inference(transitivity,[status(thm)],[32553, 32551])).
% 74.19/47.07 tff(32555,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB147) | v232(constB147) | (~v248(constB147)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32556,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB147) | (~v248(constB147)) | v232(constB147)),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32555, 32554])).
% 74.19/47.07 tff(32557,plain,
% 74.19/47.07 (~v248(constB147)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32556, 6469, 32550, 32511])).
% 74.19/47.07 tff(32558,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB147) | (~v244(constB147)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB147) | (~v244(constB147)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32559,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB147) | (~v244(constB147)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32560,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB147) | (~v244(constB147))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32559, 32558])).
% 74.19/47.07 tff(32561,plain,
% 74.19/47.07 (~v244(constB147)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32560, 6484, 32557])).
% 74.19/47.07 tff(32562,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB147) | (~v216(constB147, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB147) | (~v216(constB147, bitIndex1)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32563,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB147) | (~v216(constB147, bitIndex1)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32564,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB147) | (~v216(constB147, bitIndex1))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32563, 32562])).
% 74.19/47.07 tff(32565,plain,
% 74.19/47.07 (~v216(constB147, bitIndex1)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32564, 6495, 32561])).
% 74.19/47.07 tff(32566,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB147, bitIndex1) | (~v254(constB147)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB147, bitIndex1) | (~v254(constB147)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32567,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB147, bitIndex1) | (~v254(constB147)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32568,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB147, bitIndex1) | (~v254(constB147))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32567, 32566])).
% 74.19/47.07 tff(32569,plain,
% 74.19/47.07 (~v254(constB147)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32568, 6506, 32565])).
% 74.19/47.07 tff(32570,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB147) | (~v231(constB147)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB147) | (~v231(constB147)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32571,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB147) | (~v231(constB147)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32572,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB147) | (~v231(constB147))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32571, 32570])).
% 74.19/47.07 tff(32573,plain,
% 74.19/47.07 (~v231(constB147)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32572, 27687, 32511])).
% 74.19/47.07 tff(32574,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB147) | (~v221(constB147)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB147) | (~v221(constB147)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32575,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB147) | (~v221(constB147)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32576,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB147) | (~v221(constB147))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32575, 32574])).
% 74.19/47.07 tff(32577,plain,
% 74.19/47.07 (~v221(constB147)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32576, 21170, 32503])).
% 74.19/47.07 tff(32578,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB147) | v231(constB147) | (~v243(constB147)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB147) | v231(constB147) | (~v243(constB147)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32579,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB147) | v231(constB147) | (~v243(constB147)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32580,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB147) | v231(constB147) | (~v243(constB147))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32579, 32578])).
% 74.19/47.07 tff(32581,plain,
% 74.19/47.07 (v231(constB147) | (~v243(constB147))),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32580, 6542, 32577])).
% 74.19/47.07 tff(32582,plain,
% 74.19/47.07 (~v243(constB147)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32581, 32573])).
% 74.19/47.07 tff(32583,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB147) | v255(constB147))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB147) | v255(constB147))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32584,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB147) | v255(constB147))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32585,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB147) | v255(constB147)),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32584, 32583])).
% 74.19/47.07 tff(32586,plain,
% 74.19/47.07 (v255(constB147)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32585, 6553, 32582])).
% 74.19/47.07 tff(32587,plain,
% 74.19/47.07 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB147)) | (~v216(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB147)) | (~v216(constB147, bitIndex2)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32588,plain,
% 74.19/47.07 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB147)) | (~v216(constB147, bitIndex2)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32589,plain,
% 74.19/47.07 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB147)) | (~v216(constB147, bitIndex2))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32588, 32587])).
% 74.19/47.07 tff(32590,plain,
% 74.19/47.07 (~v216(constB147, bitIndex2)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32589, 6564, 32586])).
% 74.19/47.07 tff(32591,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB147, bitIndex2) | (~v215(constB147)) | v254(constB147))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB147, bitIndex2) | (~v215(constB147)) | v254(constB147))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32592,plain,
% 74.19/47.07 ((v216(constB147, bitIndex2) | v254(constB147) | (~v215(constB147))) <=> (v216(constB147, bitIndex2) | (~v215(constB147)) | v254(constB147))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32593,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB147, bitIndex2) | v254(constB147) | (~v215(constB147)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB147, bitIndex2) | (~v215(constB147)) | v254(constB147)))),
% 74.19/47.07 inference(monotonicity,[status(thm)],[32592])).
% 74.19/47.07 tff(32594,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB147, bitIndex2) | v254(constB147) | (~v215(constB147)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB147, bitIndex2) | (~v215(constB147)) | v254(constB147))),
% 74.19/47.07 inference(transitivity,[status(thm)],[32593, 32591])).
% 74.19/47.07 tff(32595,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB147, bitIndex2) | v254(constB147) | (~v215(constB147)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32596,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB147, bitIndex2) | (~v215(constB147)) | v254(constB147)),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32595, 32594])).
% 74.19/47.07 tff(32597,plain,
% 74.19/47.07 ((~v215(constB147)) | v254(constB147)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32596, 6578, 32590])).
% 74.19/47.07 tff(32598,plain,
% 74.19/47.07 (~v215(constB147)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32597, 32569])).
% 74.19/47.07 tff(32599,plain,
% 74.19/47.07 ($false),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32598, 32428])).
% 74.19/47.07 tff(32600,plain,(~(constB147 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.19/47.07 tff(32601,assumption,(constB91 = sK0_VarCurr), introduced(assumption)).
% 74.19/47.07 tff(32602,plain,
% 74.19/47.07 (v215(constB91) <=> v215(sK0_VarCurr)),
% 74.19/47.07 inference(monotonicity,[status(thm)],[32601])).
% 74.19/47.07 tff(32603,plain,
% 74.19/47.07 (v215(sK0_VarCurr) <=> v215(constB91)),
% 74.19/47.07 inference(symmetry,[status(thm)],[32602])).
% 74.19/47.07 tff(32604,plain,
% 74.19/47.07 (v215(constB91)),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[28, 32603])).
% 74.19/47.07 tff(32605,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB91, bitIndex2) | (~v88(constB91, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB91, bitIndex2) | (~v88(constB91, bitIndex2)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32606,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB91, bitIndex2) | (~v88(constB91, bitIndex2)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32607,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB91, bitIndex2) | (~v88(constB91, bitIndex2))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32606, 32605])).
% 74.19/47.07 tff(32608,plain,
% 74.19/47.07 (~v88(constB91, bitIndex2)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32607, 20913, 14287])).
% 74.19/47.07 tff(32609,plain,
% 74.19/47.07 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB91, bitIndex1)) | v88(constB91, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB91, bitIndex1)) | v88(constB91, bitIndex1))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32610,plain,
% 74.19/47.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB91, bitIndex1)) | v88(constB91, bitIndex1))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32611,plain,
% 74.19/47.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB91, bitIndex1)) | v88(constB91, bitIndex1)),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32610, 32609])).
% 74.19/47.07 tff(32612,plain,
% 74.19/47.07 (v88(constB91, bitIndex1)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32611, 20927, 14318])).
% 74.19/47.07 tff(32613,plain,
% 74.19/47.07 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB91, bitIndex0)) | v88(constB91, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB91, bitIndex0)) | v88(constB91, bitIndex0))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32614,plain,
% 74.19/47.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB91, bitIndex0)) | v88(constB91, bitIndex0))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32615,plain,
% 74.19/47.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB91, bitIndex0)) | v88(constB91, bitIndex0)),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32614, 32613])).
% 74.19/47.07 tff(32616,plain,
% 74.19/47.07 (v88(constB91, bitIndex0)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32615, 6074, 14349])).
% 74.19/47.07 tff(32617,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | (~v88(constB91, bitIndex0)) | v141(constB91))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | (~v88(constB91, bitIndex0)) | v141(constB91))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32618,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | (~v88(constB91, bitIndex0)) | v141(constB91))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32619,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | (~v88(constB91, bitIndex0)) | v141(constB91)),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32618, 32617])).
% 74.19/47.07 tff(32620,plain,
% 74.19/47.07 (v141(constB91)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32619, 20945, 32616, 32612, 32608])).
% 74.19/47.07 tff(32621,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB91) | (~v141(constB91)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB91) | (~v141(constB91)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32622,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB91) | (~v141(constB91)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32623,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB91) | (~v141(constB91))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32622, 32621])).
% 74.19/47.07 tff(32624,plain,
% 74.19/47.07 (v199(constB91)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32623, 20959, 32620])).
% 74.19/47.07 tff(32625,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB91) | (~v199(constB91)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB91) | (~v199(constB91)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32626,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB91) | (~v199(constB91)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32627,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB91) | (~v199(constB91))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32626, 32625])).
% 74.19/47.07 tff(32628,plain,
% 74.19/47.07 (v198(constB91)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32627, 20970, 32624])).
% 74.19/47.07 tff(32629,plain,
% 74.19/47.07 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB91)) | (~v201(constB91)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB91)) | (~v201(constB91)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32630,plain,
% 74.19/47.07 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB91)) | (~v201(constB91)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32631,plain,
% 74.19/47.07 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB91)) | (~v201(constB91))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32630, 32629])).
% 74.19/47.07 tff(32632,plain,
% 74.19/47.07 (~v201(constB91)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32631, 20984, 32628])).
% 74.19/47.07 tff(32633,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB91) | (~v198(constB91)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB91) | (~v198(constB91)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32634,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB91) | (~v198(constB91)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32635,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB91) | (~v198(constB91))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32634, 32633])).
% 74.19/47.07 tff(32636,plain,
% 74.19/47.07 (v197(constB91)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32635, 20995, 32628])).
% 74.19/47.07 tff(32637,plain,
% 74.19/47.07 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB91) | v201(constB91) | (~v197(constB91)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB91) | v201(constB91) | (~v197(constB91)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32638,plain,
% 74.19/47.07 (((~v197(constB91)) | v201(constB91) | v227(constB91)) <=> (v227(constB91) | v201(constB91) | (~v197(constB91)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32639,plain,
% 74.19/47.07 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB91)) | v201(constB91) | v227(constB91))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB91) | v201(constB91) | (~v197(constB91))))),
% 74.19/47.07 inference(monotonicity,[status(thm)],[32638])).
% 74.19/47.07 tff(32640,plain,
% 74.19/47.07 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB91)) | v201(constB91) | v227(constB91))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB91) | v201(constB91) | (~v197(constB91)))),
% 74.19/47.07 inference(transitivity,[status(thm)],[32639, 32637])).
% 74.19/47.07 tff(32641,plain,
% 74.19/47.07 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB91)) | v201(constB91) | v227(constB91))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32642,plain,
% 74.19/47.07 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB91) | v201(constB91) | (~v197(constB91))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32641, 32640])).
% 74.19/47.07 tff(32643,plain,
% 74.19/47.07 (v227(constB91)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32642, 21009, 32636, 32632])).
% 74.19/47.07 tff(32644,plain,
% 74.19/47.07 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB91)) | (~v223(constB91, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB91)) | (~v223(constB91, bitIndex0)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32645,plain,
% 74.19/47.07 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB91)) | (~v223(constB91, bitIndex0)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32646,plain,
% 74.19/47.07 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB91)) | (~v223(constB91, bitIndex0))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32645, 32644])).
% 74.19/47.07 tff(32647,plain,
% 74.19/47.07 (~v223(constB91, bitIndex0)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32646, 21023, 32643])).
% 74.19/47.07 tff(32648,plain,
% 74.19/47.07 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB91)) | (~v199(constB91)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB91)) | (~v199(constB91)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32649,plain,
% 74.19/47.07 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB91)) | (~v199(constB91)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32650,plain,
% 74.19/47.07 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB91)) | (~v199(constB91))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32649, 32648])).
% 74.19/47.07 tff(32651,plain,
% 74.19/47.07 (~v183(constB91)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32650, 21034, 32624])).
% 74.19/47.07 tff(32652,plain,
% 74.19/47.07 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB91) | (~v197(constB91)) | v183(constB91))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB91) | (~v197(constB91)) | v183(constB91))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32653,plain,
% 74.19/47.07 (((~v197(constB91)) | v183(constB91) | v228(constB91)) <=> (v228(constB91) | (~v197(constB91)) | v183(constB91))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32654,plain,
% 74.19/47.07 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB91)) | v183(constB91) | v228(constB91))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB91) | (~v197(constB91)) | v183(constB91)))),
% 74.19/47.07 inference(monotonicity,[status(thm)],[32653])).
% 74.19/47.07 tff(32655,plain,
% 74.19/47.07 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB91)) | v183(constB91) | v228(constB91))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB91) | (~v197(constB91)) | v183(constB91))),
% 74.19/47.07 inference(transitivity,[status(thm)],[32654, 32652])).
% 74.19/47.07 tff(32656,plain,
% 74.19/47.07 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB91)) | v183(constB91) | v228(constB91))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32657,plain,
% 74.19/47.07 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB91) | (~v197(constB91)) | v183(constB91)),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32656, 32655])).
% 74.19/47.07 tff(32658,plain,
% 74.19/47.07 (v228(constB91)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32657, 6287, 32636, 32651])).
% 74.19/47.07 tff(32659,plain,
% 74.19/47.07 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB91)) | (~v223(constB91, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB91)) | (~v223(constB91, bitIndex1)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32660,plain,
% 74.19/47.07 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB91)) | (~v223(constB91, bitIndex1)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32661,plain,
% 74.19/47.07 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB91)) | (~v223(constB91, bitIndex1))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32660, 32659])).
% 74.19/47.07 tff(32662,plain,
% 74.19/47.07 (~v223(constB91, bitIndex1)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32661, 6301, 32658])).
% 74.19/47.07 tff(32663,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB91, bitIndex1) | v223(constB91, bitIndex0) | (~v229(constB91)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB91, bitIndex1) | v223(constB91, bitIndex0) | (~v229(constB91)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32664,plain,
% 74.19/47.07 ((v223(constB91, bitIndex0) | v223(constB91, bitIndex1) | (~v229(constB91))) <=> (v223(constB91, bitIndex1) | v223(constB91, bitIndex0) | (~v229(constB91)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32665,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB91, bitIndex0) | v223(constB91, bitIndex1) | (~v229(constB91)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB91, bitIndex1) | v223(constB91, bitIndex0) | (~v229(constB91))))),
% 74.19/47.07 inference(monotonicity,[status(thm)],[32664])).
% 74.19/47.07 tff(32666,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB91, bitIndex0) | v223(constB91, bitIndex1) | (~v229(constB91)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB91, bitIndex1) | v223(constB91, bitIndex0) | (~v229(constB91)))),
% 74.19/47.07 inference(transitivity,[status(thm)],[32665, 32663])).
% 74.19/47.07 tff(32667,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB91, bitIndex0) | v223(constB91, bitIndex1) | (~v229(constB91)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32668,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB91, bitIndex1) | v223(constB91, bitIndex0) | (~v229(constB91))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32667, 32666])).
% 74.19/47.07 tff(32669,plain,
% 74.19/47.07 (~v229(constB91)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32668, 21059, 32662, 32647])).
% 74.19/47.07 tff(32670,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB91) | (~v225(constB91)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB91) | (~v225(constB91)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32671,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB91) | (~v225(constB91)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32672,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB91) | (~v225(constB91))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32671, 32670])).
% 74.19/47.07 tff(32673,plain,
% 74.19/47.07 (~v225(constB91)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32672, 21073, 32669])).
% 74.19/47.07 tff(32674,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB91) | (~v224(constB91)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB91) | (~v224(constB91)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32675,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB91) | (~v224(constB91)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32676,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB91) | (~v224(constB91))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32675, 32674])).
% 74.19/47.07 tff(32677,plain,
% 74.19/47.07 (~v224(constB91)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32676, 21084, 32673])).
% 74.19/47.07 tff(32678,plain,
% 74.19/47.07 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB91)) | v223(constB91, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB91)) | v223(constB91, bitIndex1))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32679,plain,
% 74.19/47.07 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB91)) | v223(constB91, bitIndex1))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32680,plain,
% 74.19/47.07 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB91)) | v223(constB91, bitIndex1)),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32679, 32678])).
% 74.19/47.07 tff(32681,plain,
% 74.19/47.07 (~v222(constB91)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32680, 6315, 32662])).
% 74.19/47.07 tff(32682,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB91) | v224(constB91) | (~v236(constB91)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB91) | v224(constB91) | (~v236(constB91)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32683,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB91) | v224(constB91) | (~v236(constB91)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32684,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB91) | v224(constB91) | (~v236(constB91))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32683, 32682])).
% 74.19/47.07 tff(32685,plain,
% 74.19/47.07 (v224(constB91) | (~v236(constB91))),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32684, 6385, 32681])).
% 74.19/47.07 tff(32686,plain,
% 74.19/47.07 (~v236(constB91)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32685, 32677])).
% 74.19/47.07 tff(32687,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB91) | (~v232(constB91)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB91) | (~v232(constB91)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32688,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB91) | (~v232(constB91)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32689,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB91) | (~v232(constB91))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32688, 32687])).
% 74.19/47.07 tff(32690,plain,
% 74.19/47.07 (~v232(constB91)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32689, 6396, 32686])).
% 74.19/47.07 tff(32691,plain,
% 74.19/47.07 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB91, bitIndex1)) | (~v140(constB91)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB91, bitIndex1)) | (~v140(constB91)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32692,plain,
% 74.19/47.07 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB91, bitIndex1)) | (~v140(constB91)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32693,plain,
% 74.19/47.07 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB91, bitIndex1)) | (~v140(constB91))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32692, 32691])).
% 74.19/47.07 tff(32694,plain,
% 74.19/47.07 (~v140(constB91)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32693, 21108, 32612])).
% 74.19/47.07 tff(32695,plain,
% 74.19/47.07 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB91, bitIndex0)) | (~v139(constB91)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB91, bitIndex0)) | (~v139(constB91)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32696,plain,
% 74.19/47.07 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB91, bitIndex0)) | (~v139(constB91)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32697,plain,
% 74.19/47.07 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB91, bitIndex0)) | (~v139(constB91))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32696, 32695])).
% 74.19/47.07 tff(32698,plain,
% 74.19/47.07 (~v139(constB91)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32697, 6085, 32616])).
% 74.19/47.07 tff(32699,plain,
% 74.19/47.07 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB91) | v139(constB91) | (~v148(constB91)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB91) | v139(constB91) | (~v148(constB91)))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32700,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB91) | v139(constB91) | (~v148(constB91)))),
% 74.19/47.07 inference(quant_inst,[status(thm)],[])).
% 74.19/47.07 tff(32701,plain,
% 74.19/47.07 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB91) | v139(constB91) | (~v148(constB91))),
% 74.19/47.07 inference(modus_ponens,[status(thm)],[32700, 32699])).
% 74.19/47.07 tff(32702,plain,
% 74.19/47.07 (~v148(constB91)),
% 74.19/47.07 inference(unit_resolution,[status(thm)],[32701, 6410, 32698, 32694])).
% 74.19/47.07 tff(32703,plain,
% 74.19/47.07 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB91) | (~v197(constB91)) | v148(constB91))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB91) | (~v197(constB91)) | v148(constB91))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32704,plain,
% 74.19/47.07 ((v148(constB91) | (~v197(constB91)) | v252(constB91)) <=> (v252(constB91) | (~v197(constB91)) | v148(constB91))),
% 74.19/47.07 inference(rewrite,[status(thm)],[])).
% 74.19/47.07 tff(32705,plain,
% 74.19/47.07 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB91) | (~v197(constB91)) | v252(constB91))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB91) | (~v197(constB91)) | v148(constB91)))),
% 74.19/47.07 inference(monotonicity,[status(thm)],[32704])).
% 74.19/47.07 tff(32706,plain,
% 74.19/47.07 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB91) | (~v197(constB91)) | v252(constB91))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB91) | (~v197(constB91)) | v148(constB91))),
% 74.19/47.07 inference(transitivity,[status(thm)],[32705, 32703])).
% 74.19/47.07 tff(32707,plain,
% 74.19/47.07 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB91) | (~v197(constB91)) | v252(constB91))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32708,plain,
% 74.19/47.08 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB91) | (~v197(constB91)) | v148(constB91)),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32707, 32706])).
% 74.19/47.08 tff(32709,plain,
% 74.19/47.08 (v252(constB91) | (~v197(constB91))),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32708, 6427, 32702])).
% 74.19/47.08 tff(32710,plain,
% 74.19/47.08 (v252(constB91)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32709, 32636])).
% 74.19/47.08 tff(32711,plain,
% 74.19/47.08 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB91)) | (~v223(constB91, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB91)) | (~v223(constB91, bitIndex3)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32712,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB91)) | (~v223(constB91, bitIndex3)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32713,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB91)) | (~v223(constB91, bitIndex3))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32712, 32711])).
% 74.19/47.08 tff(32714,plain,
% 74.19/47.08 (~v223(constB91, bitIndex3)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32713, 6441, 32710])).
% 74.19/47.08 tff(32715,plain,
% 74.19/47.08 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB91)) | v223(constB91, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB91)) | v223(constB91, bitIndex3))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32716,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB91)) | v223(constB91, bitIndex3))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32717,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB91)) | v223(constB91, bitIndex3)),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32716, 32715])).
% 74.19/47.08 tff(32718,plain,
% 74.19/47.08 (~v237(constB91)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32717, 6455, 32714])).
% 74.19/47.08 tff(32719,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v232(constB91) | v237(constB91) | (~v248(constB91)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB91) | v237(constB91) | (~v248(constB91)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32720,plain,
% 74.19/47.08 ((v237(constB91) | v232(constB91) | (~v248(constB91))) <=> (v232(constB91) | v237(constB91) | (~v248(constB91)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32721,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB91) | v232(constB91) | (~v248(constB91)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v232(constB91) | v237(constB91) | (~v248(constB91))))),
% 74.19/47.08 inference(monotonicity,[status(thm)],[32720])).
% 74.19/47.08 tff(32722,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB91) | v232(constB91) | (~v248(constB91)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB91) | v237(constB91) | (~v248(constB91)))),
% 74.19/47.08 inference(transitivity,[status(thm)],[32721, 32719])).
% 74.19/47.08 tff(32723,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB91) | v232(constB91) | (~v248(constB91)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32724,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB91) | v237(constB91) | (~v248(constB91))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32723, 32722])).
% 74.19/47.08 tff(32725,plain,
% 74.19/47.08 (v232(constB91) | (~v248(constB91))),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32724, 6469, 32718])).
% 74.19/47.08 tff(32726,plain,
% 74.19/47.08 (~v248(constB91)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32725, 32690])).
% 74.19/47.08 tff(32727,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB91) | (~v244(constB91)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB91) | (~v244(constB91)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32728,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB91) | (~v244(constB91)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32729,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB91) | (~v244(constB91))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32728, 32727])).
% 74.19/47.08 tff(32730,plain,
% 74.19/47.08 (~v244(constB91)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32729, 6484, 32726])).
% 74.19/47.08 tff(32731,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB91) | (~v216(constB91, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB91) | (~v216(constB91, bitIndex1)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32732,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB91) | (~v216(constB91, bitIndex1)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32733,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB91) | (~v216(constB91, bitIndex1))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32732, 32731])).
% 74.19/47.08 tff(32734,plain,
% 74.19/47.08 (~v216(constB91, bitIndex1)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32733, 6495, 32730])).
% 74.19/47.08 tff(32735,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB91, bitIndex1) | (~v254(constB91)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB91, bitIndex1) | (~v254(constB91)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32736,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB91, bitIndex1) | (~v254(constB91)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32737,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB91, bitIndex1) | (~v254(constB91))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32736, 32735])).
% 74.19/47.08 tff(32738,plain,
% 74.19/47.08 (~v254(constB91)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32737, 6506, 32734])).
% 74.19/47.08 tff(32739,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB91) | (~v231(constB91)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB91) | (~v231(constB91)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32740,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB91) | (~v231(constB91)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32741,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB91) | (~v231(constB91))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32740, 32739])).
% 74.19/47.08 tff(32742,plain,
% 74.19/47.08 (~v231(constB91)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32741, 6528, 32718])).
% 74.19/47.08 tff(32743,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB91) | (~v221(constB91)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB91) | (~v221(constB91)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32744,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB91) | (~v221(constB91)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32745,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB91) | (~v221(constB91))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32744, 32743])).
% 74.19/47.08 tff(32746,plain,
% 74.19/47.08 (~v221(constB91)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32745, 21170, 32681])).
% 74.19/47.08 tff(32747,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB91) | v231(constB91) | (~v243(constB91)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB91) | v231(constB91) | (~v243(constB91)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32748,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB91) | v231(constB91) | (~v243(constB91)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32749,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB91) | v231(constB91) | (~v243(constB91))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32748, 32747])).
% 74.19/47.08 tff(32750,plain,
% 74.19/47.08 (~v243(constB91)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32749, 6542, 32746, 32742])).
% 74.19/47.08 tff(32751,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB91) | v255(constB91))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB91) | v255(constB91))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32752,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB91) | v255(constB91))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32753,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB91) | v255(constB91)),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32752, 32751])).
% 74.19/47.08 tff(32754,plain,
% 74.19/47.08 (v255(constB91)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32753, 6553, 32750])).
% 74.19/47.08 tff(32755,plain,
% 74.19/47.08 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB91)) | (~v216(constB91, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB91)) | (~v216(constB91, bitIndex2)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32756,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB91)) | (~v216(constB91, bitIndex2)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32757,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB91)) | (~v216(constB91, bitIndex2))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32756, 32755])).
% 74.19/47.08 tff(32758,plain,
% 74.19/47.08 (~v216(constB91, bitIndex2)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32757, 6564, 32754])).
% 74.19/47.08 tff(32759,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB91)) | v216(constB91, bitIndex2) | v254(constB91))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB91)) | v216(constB91, bitIndex2) | v254(constB91))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32760,plain,
% 74.19/47.08 ((v216(constB91, bitIndex2) | v254(constB91) | (~v215(constB91))) <=> ((~v215(constB91)) | v216(constB91, bitIndex2) | v254(constB91))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32761,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB91, bitIndex2) | v254(constB91) | (~v215(constB91)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB91)) | v216(constB91, bitIndex2) | v254(constB91)))),
% 74.19/47.08 inference(monotonicity,[status(thm)],[32760])).
% 74.19/47.08 tff(32762,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB91, bitIndex2) | v254(constB91) | (~v215(constB91)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB91)) | v216(constB91, bitIndex2) | v254(constB91))),
% 74.19/47.08 inference(transitivity,[status(thm)],[32761, 32759])).
% 74.19/47.08 tff(32763,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB91, bitIndex2) | v254(constB91) | (~v215(constB91)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32764,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB91)) | v216(constB91, bitIndex2) | v254(constB91)),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32763, 32762])).
% 74.19/47.08 tff(32765,plain,
% 74.19/47.08 ((~v215(constB91)) | v254(constB91)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32764, 6578, 32758])).
% 74.19/47.08 tff(32766,plain,
% 74.19/47.08 (~v215(constB91)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32765, 32738])).
% 74.19/47.08 tff(32767,plain,
% 74.19/47.08 ($false),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32766, 32604])).
% 74.19/47.08 tff(32768,plain,(~(constB91 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.19/47.08 tff(32769,assumption,(constB175 = sK0_VarCurr), introduced(assumption)).
% 74.19/47.08 tff(32770,plain,
% 74.19/47.08 (v215(constB175) <=> v215(sK0_VarCurr)),
% 74.19/47.08 inference(monotonicity,[status(thm)],[32769])).
% 74.19/47.08 tff(32771,plain,
% 74.19/47.08 (v215(sK0_VarCurr) <=> v215(constB175)),
% 74.19/47.08 inference(symmetry,[status(thm)],[32770])).
% 74.19/47.08 tff(32772,plain,
% 74.19/47.08 (v215(constB175)),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[28, 32771])).
% 74.19/47.08 tff(32773,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB175, bitIndex2) | (~v88(constB175, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB175, bitIndex2) | (~v88(constB175, bitIndex2)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32774,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB175, bitIndex2) | (~v88(constB175, bitIndex2)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32775,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB175, bitIndex2) | (~v88(constB175, bitIndex2))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32774, 32773])).
% 74.19/47.08 tff(32776,plain,
% 74.19/47.08 (~v88(constB175, bitIndex2)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32775, 20913, 25260])).
% 74.19/47.08 tff(32777,plain,
% 74.19/47.08 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB175, bitIndex1)) | v88(constB175, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB175, bitIndex1)) | v88(constB175, bitIndex1))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32778,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB175, bitIndex1)) | v88(constB175, bitIndex1))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32779,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB175, bitIndex1)) | v88(constB175, bitIndex1)),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32778, 32777])).
% 74.19/47.08 tff(32780,plain,
% 74.19/47.08 (v88(constB175, bitIndex1)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32779, 20927, 25301])).
% 74.19/47.08 tff(32781,plain,
% 74.19/47.08 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB175, bitIndex0)) | v88(constB175, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB175, bitIndex0)) | v88(constB175, bitIndex0))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32782,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB175, bitIndex0)) | v88(constB175, bitIndex0))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32783,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB175, bitIndex0)) | v88(constB175, bitIndex0)),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32782, 32781])).
% 74.19/47.08 tff(32784,plain,
% 74.19/47.08 (v88(constB175, bitIndex0)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32783, 6074, 25310])).
% 74.19/47.08 tff(32785,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB175, bitIndex2) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex0)) | v141(constB175))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex0)) | v141(constB175))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32786,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB175, bitIndex2) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex0)) | v141(constB175))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32787,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex0)) | v141(constB175)),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32786, 32785])).
% 74.19/47.08 tff(32788,plain,
% 74.19/47.08 (v88(constB175, bitIndex2) | (~v88(constB175, bitIndex1)) | v141(constB175)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32787, 20945, 32784])).
% 74.19/47.08 tff(32789,plain,
% 74.19/47.08 (v141(constB175)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32788, 32780, 32776])).
% 74.19/47.08 tff(32790,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB175) | (~v141(constB175)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB175) | (~v141(constB175)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32791,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB175) | (~v141(constB175)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32792,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB175) | (~v141(constB175))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32791, 32790])).
% 74.19/47.08 tff(32793,plain,
% 74.19/47.08 (v199(constB175)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32792, 20959, 32789])).
% 74.19/47.08 tff(32794,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB175) | (~v199(constB175)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB175) | (~v199(constB175)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32795,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB175) | (~v199(constB175)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32796,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB175) | (~v199(constB175))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32795, 32794])).
% 74.19/47.08 tff(32797,plain,
% 74.19/47.08 (v198(constB175)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32796, 20970, 32793])).
% 74.19/47.08 tff(32798,plain,
% 74.19/47.08 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB175)) | (~v201(constB175)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB175)) | (~v201(constB175)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32799,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB175)) | (~v201(constB175)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32800,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB175)) | (~v201(constB175))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32799, 32798])).
% 74.19/47.08 tff(32801,plain,
% 74.19/47.08 (~v201(constB175)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32800, 20984, 32797])).
% 74.19/47.08 tff(32802,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB175) | (~v198(constB175)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB175) | (~v198(constB175)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32803,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB175) | (~v198(constB175)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32804,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB175) | (~v198(constB175))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32803, 32802])).
% 74.19/47.08 tff(32805,plain,
% 74.19/47.08 (v197(constB175)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32804, 20995, 32797])).
% 74.19/47.08 tff(32806,plain,
% 74.19/47.08 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB175) | v201(constB175) | (~v197(constB175)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB175) | v201(constB175) | (~v197(constB175)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32807,plain,
% 74.19/47.08 (((~v197(constB175)) | v201(constB175) | v227(constB175)) <=> (v227(constB175) | v201(constB175) | (~v197(constB175)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32808,plain,
% 74.19/47.08 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB175)) | v201(constB175) | v227(constB175))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB175) | v201(constB175) | (~v197(constB175))))),
% 74.19/47.08 inference(monotonicity,[status(thm)],[32807])).
% 74.19/47.08 tff(32809,plain,
% 74.19/47.08 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB175)) | v201(constB175) | v227(constB175))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB175) | v201(constB175) | (~v197(constB175)))),
% 74.19/47.08 inference(transitivity,[status(thm)],[32808, 32806])).
% 74.19/47.08 tff(32810,plain,
% 74.19/47.08 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB175)) | v201(constB175) | v227(constB175))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32811,plain,
% 74.19/47.08 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB175) | v201(constB175) | (~v197(constB175))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32810, 32809])).
% 74.19/47.08 tff(32812,plain,
% 74.19/47.08 (v227(constB175)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32811, 21009, 32805, 32801])).
% 74.19/47.08 tff(32813,plain,
% 74.19/47.08 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB175)) | (~v223(constB175, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB175)) | (~v223(constB175, bitIndex0)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32814,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB175)) | (~v223(constB175, bitIndex0)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32815,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB175)) | (~v223(constB175, bitIndex0))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32814, 32813])).
% 74.19/47.08 tff(32816,plain,
% 74.19/47.08 (~v223(constB175, bitIndex0)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32815, 21023, 32812])).
% 74.19/47.08 tff(32817,plain,
% 74.19/47.08 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB175)) | (~v199(constB175)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB175)) | (~v199(constB175)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32818,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB175)) | (~v199(constB175)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32819,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB175)) | (~v199(constB175))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32818, 32817])).
% 74.19/47.08 tff(32820,plain,
% 74.19/47.08 (~v183(constB175)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32819, 21034, 32793])).
% 74.19/47.08 tff(32821,plain,
% 74.19/47.08 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB175) | v183(constB175) | (~v197(constB175)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB175) | v183(constB175) | (~v197(constB175)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32822,plain,
% 74.19/47.08 (((~v197(constB175)) | v183(constB175) | v228(constB175)) <=> (v228(constB175) | v183(constB175) | (~v197(constB175)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32823,plain,
% 74.19/47.08 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB175)) | v183(constB175) | v228(constB175))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB175) | v183(constB175) | (~v197(constB175))))),
% 74.19/47.08 inference(monotonicity,[status(thm)],[32822])).
% 74.19/47.08 tff(32824,plain,
% 74.19/47.08 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB175)) | v183(constB175) | v228(constB175))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB175) | v183(constB175) | (~v197(constB175)))),
% 74.19/47.08 inference(transitivity,[status(thm)],[32823, 32821])).
% 74.19/47.08 tff(32825,plain,
% 74.19/47.08 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB175)) | v183(constB175) | v228(constB175))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32826,plain,
% 74.19/47.08 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB175) | v183(constB175) | (~v197(constB175))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32825, 32824])).
% 74.19/47.08 tff(32827,plain,
% 74.19/47.08 (v228(constB175)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32826, 6287, 32805, 32820])).
% 74.19/47.08 tff(32828,plain,
% 74.19/47.08 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB175)) | (~v223(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB175)) | (~v223(constB175, bitIndex1)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32829,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB175)) | (~v223(constB175, bitIndex1)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32830,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB175)) | (~v223(constB175, bitIndex1))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32829, 32828])).
% 74.19/47.08 tff(32831,plain,
% 74.19/47.08 (~v223(constB175, bitIndex1)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32830, 6301, 32827])).
% 74.19/47.08 tff(32832,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB175, bitIndex1) | v223(constB175, bitIndex0) | (~v229(constB175)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB175, bitIndex1) | v223(constB175, bitIndex0) | (~v229(constB175)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32833,plain,
% 74.19/47.08 ((v223(constB175, bitIndex0) | v223(constB175, bitIndex1) | (~v229(constB175))) <=> (v223(constB175, bitIndex1) | v223(constB175, bitIndex0) | (~v229(constB175)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32834,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB175, bitIndex0) | v223(constB175, bitIndex1) | (~v229(constB175)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB175, bitIndex1) | v223(constB175, bitIndex0) | (~v229(constB175))))),
% 74.19/47.08 inference(monotonicity,[status(thm)],[32833])).
% 74.19/47.08 tff(32835,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB175, bitIndex0) | v223(constB175, bitIndex1) | (~v229(constB175)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB175, bitIndex1) | v223(constB175, bitIndex0) | (~v229(constB175)))),
% 74.19/47.08 inference(transitivity,[status(thm)],[32834, 32832])).
% 74.19/47.08 tff(32836,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB175, bitIndex0) | v223(constB175, bitIndex1) | (~v229(constB175)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32837,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB175, bitIndex1) | v223(constB175, bitIndex0) | (~v229(constB175))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32836, 32835])).
% 74.19/47.08 tff(32838,plain,
% 74.19/47.08 (v223(constB175, bitIndex0) | (~v229(constB175))),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32837, 21059, 32831])).
% 74.19/47.08 tff(32839,plain,
% 74.19/47.08 (~v229(constB175)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32838, 32816])).
% 74.19/47.08 tff(32840,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB175) | (~v225(constB175)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB175) | (~v225(constB175)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32841,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB175) | (~v225(constB175)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32842,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB175) | (~v225(constB175))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32841, 32840])).
% 74.19/47.08 tff(32843,plain,
% 74.19/47.08 (~v225(constB175)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32842, 21073, 32839])).
% 74.19/47.08 tff(32844,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB175) | (~v224(constB175)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB175) | (~v224(constB175)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32845,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB175) | (~v224(constB175)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32846,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB175) | (~v224(constB175))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32845, 32844])).
% 74.19/47.08 tff(32847,plain,
% 74.19/47.08 (~v224(constB175)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32846, 21084, 32843])).
% 74.19/47.08 tff(32848,plain,
% 74.19/47.08 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB175)) | v223(constB175, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB175)) | v223(constB175, bitIndex1))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32849,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB175)) | v223(constB175, bitIndex1))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32850,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB175)) | v223(constB175, bitIndex1)),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32849, 32848])).
% 74.19/47.08 tff(32851,plain,
% 74.19/47.08 (~v222(constB175)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32850, 6315, 32831])).
% 74.19/47.08 tff(32852,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB175) | v224(constB175) | (~v236(constB175)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB175) | v224(constB175) | (~v236(constB175)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32853,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB175) | v224(constB175) | (~v236(constB175)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32854,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB175) | v224(constB175) | (~v236(constB175))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32853, 32852])).
% 74.19/47.08 tff(32855,plain,
% 74.19/47.08 (v224(constB175) | (~v236(constB175))),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32854, 6385, 32851])).
% 74.19/47.08 tff(32856,plain,
% 74.19/47.08 (~v236(constB175)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32855, 32847])).
% 74.19/47.08 tff(32857,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB175) | (~v232(constB175)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB175) | (~v232(constB175)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32858,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB175) | (~v232(constB175)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32859,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB175) | (~v232(constB175))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32858, 32857])).
% 74.19/47.08 tff(32860,plain,
% 74.19/47.08 (~v232(constB175)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32859, 6396, 32856])).
% 74.19/47.08 tff(32861,plain,
% 74.19/47.08 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB175)) | (~v88(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB175)) | (~v88(constB175, bitIndex1)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32862,plain,
% 74.19/47.08 (((~v88(constB175, bitIndex1)) | (~v140(constB175))) <=> ((~v140(constB175)) | (~v88(constB175, bitIndex1)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32863,plain,
% 74.19/47.08 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB175, bitIndex1)) | (~v140(constB175)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB175)) | (~v88(constB175, bitIndex1))))),
% 74.19/47.08 inference(monotonicity,[status(thm)],[32862])).
% 74.19/47.08 tff(32864,plain,
% 74.19/47.08 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB175, bitIndex1)) | (~v140(constB175)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB175)) | (~v88(constB175, bitIndex1)))),
% 74.19/47.08 inference(transitivity,[status(thm)],[32863, 32861])).
% 74.19/47.08 tff(32865,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB175, bitIndex1)) | (~v140(constB175)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32866,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB175)) | (~v88(constB175, bitIndex1))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32865, 32864])).
% 74.19/47.08 tff(32867,plain,
% 74.19/47.08 (~v140(constB175)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32866, 21108, 32780])).
% 74.19/47.08 tff(32868,plain,
% 74.19/47.08 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB175)) | (~v88(constB175, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB175)) | (~v88(constB175, bitIndex0)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32869,plain,
% 74.19/47.08 (((~v88(constB175, bitIndex0)) | (~v139(constB175))) <=> ((~v139(constB175)) | (~v88(constB175, bitIndex0)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32870,plain,
% 74.19/47.08 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB175, bitIndex0)) | (~v139(constB175)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB175)) | (~v88(constB175, bitIndex0))))),
% 74.19/47.08 inference(monotonicity,[status(thm)],[32869])).
% 74.19/47.08 tff(32871,plain,
% 74.19/47.08 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB175, bitIndex0)) | (~v139(constB175)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB175)) | (~v88(constB175, bitIndex0)))),
% 74.19/47.08 inference(transitivity,[status(thm)],[32870, 32868])).
% 74.19/47.08 tff(32872,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB175, bitIndex0)) | (~v139(constB175)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32873,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB175)) | (~v88(constB175, bitIndex0))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32872, 32871])).
% 74.19/47.08 tff(32874,plain,
% 74.19/47.08 (~v139(constB175)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32873, 6085, 32784])).
% 74.19/47.08 tff(32875,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB175)) | v140(constB175) | v139(constB175))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB175)) | v140(constB175) | v139(constB175))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32876,plain,
% 74.19/47.08 ((v140(constB175) | v139(constB175) | (~v148(constB175))) <=> ((~v148(constB175)) | v140(constB175) | v139(constB175))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32877,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB175) | v139(constB175) | (~v148(constB175)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB175)) | v140(constB175) | v139(constB175)))),
% 74.19/47.08 inference(monotonicity,[status(thm)],[32876])).
% 74.19/47.08 tff(32878,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB175) | v139(constB175) | (~v148(constB175)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB175)) | v140(constB175) | v139(constB175))),
% 74.19/47.08 inference(transitivity,[status(thm)],[32877, 32875])).
% 74.19/47.08 tff(32879,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB175) | v139(constB175) | (~v148(constB175)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32880,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB175)) | v140(constB175) | v139(constB175)),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32879, 32878])).
% 74.19/47.08 tff(32881,plain,
% 74.19/47.08 ((~v148(constB175)) | v140(constB175)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32880, 6410, 32874])).
% 74.19/47.08 tff(32882,plain,
% 74.19/47.08 (~v148(constB175)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32881, 32867])).
% 74.19/47.08 tff(32883,plain,
% 74.19/47.08 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB175) | v148(constB175) | (~v197(constB175)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB175) | v148(constB175) | (~v197(constB175)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32884,plain,
% 74.19/47.08 ((v148(constB175) | (~v197(constB175)) | v252(constB175)) <=> (v252(constB175) | v148(constB175) | (~v197(constB175)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32885,plain,
% 74.19/47.08 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB175) | (~v197(constB175)) | v252(constB175))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB175) | v148(constB175) | (~v197(constB175))))),
% 74.19/47.08 inference(monotonicity,[status(thm)],[32884])).
% 74.19/47.08 tff(32886,plain,
% 74.19/47.08 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB175) | (~v197(constB175)) | v252(constB175))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB175) | v148(constB175) | (~v197(constB175)))),
% 74.19/47.08 inference(transitivity,[status(thm)],[32885, 32883])).
% 74.19/47.08 tff(32887,plain,
% 74.19/47.08 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB175) | (~v197(constB175)) | v252(constB175))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32888,plain,
% 74.19/47.08 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB175) | v148(constB175) | (~v197(constB175))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32887, 32886])).
% 74.19/47.08 tff(32889,plain,
% 74.19/47.08 (v252(constB175) | (~v197(constB175))),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32888, 6427, 32882])).
% 74.19/47.08 tff(32890,plain,
% 74.19/47.08 (v252(constB175)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32889, 32805])).
% 74.19/47.08 tff(32891,plain,
% 74.19/47.08 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB175)) | (~v223(constB175, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB175)) | (~v223(constB175, bitIndex3)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32892,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB175)) | (~v223(constB175, bitIndex3)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32893,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB175)) | (~v223(constB175, bitIndex3))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32892, 32891])).
% 74.19/47.08 tff(32894,plain,
% 74.19/47.08 (~v223(constB175, bitIndex3)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32893, 6441, 32890])).
% 74.19/47.08 tff(32895,plain,
% 74.19/47.08 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB175)) | v223(constB175, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB175)) | v223(constB175, bitIndex3))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32896,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB175)) | v223(constB175, bitIndex3))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32897,plain,
% 74.19/47.08 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB175)) | v223(constB175, bitIndex3)),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32896, 32895])).
% 74.19/47.08 tff(32898,plain,
% 74.19/47.08 (~v237(constB175)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32897, 6455, 32894])).
% 74.19/47.08 tff(32899,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB175) | v232(constB175) | (~v248(constB175)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB175) | v232(constB175) | (~v248(constB175)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32900,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB175) | v232(constB175) | (~v248(constB175)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32901,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB175) | v232(constB175) | (~v248(constB175))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32900, 32899])).
% 74.19/47.08 tff(32902,plain,
% 74.19/47.08 (v232(constB175) | (~v248(constB175))),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32901, 6469, 32898])).
% 74.19/47.08 tff(32903,plain,
% 74.19/47.08 (~v248(constB175)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32902, 32860])).
% 74.19/47.08 tff(32904,plain,
% 74.19/47.08 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB175) | (~v244(constB175)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB175) | (~v244(constB175)))),
% 74.19/47.08 inference(rewrite,[status(thm)],[])).
% 74.19/47.08 tff(32905,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB175) | (~v244(constB175)))),
% 74.19/47.08 inference(quant_inst,[status(thm)],[])).
% 74.19/47.08 tff(32906,plain,
% 74.19/47.08 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB175) | (~v244(constB175))),
% 74.19/47.08 inference(modus_ponens,[status(thm)],[32905, 32904])).
% 74.19/47.08 tff(32907,plain,
% 74.19/47.08 (~v244(constB175)),
% 74.19/47.08 inference(unit_resolution,[status(thm)],[32906, 6484, 32903])).
% 74.19/47.09 tff(32908,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB175) | (~v216(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB175) | (~v216(constB175, bitIndex1)))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(32909,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB175) | (~v216(constB175, bitIndex1)))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(32910,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB175) | (~v216(constB175, bitIndex1))),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[32909, 32908])).
% 74.19/47.09 tff(32911,plain,
% 74.19/47.09 (~v216(constB175, bitIndex1)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[32910, 6495, 32907])).
% 74.19/47.09 tff(32912,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB175, bitIndex1) | (~v254(constB175)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB175, bitIndex1) | (~v254(constB175)))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(32913,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB175, bitIndex1) | (~v254(constB175)))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(32914,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB175, bitIndex1) | (~v254(constB175))),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[32913, 32912])).
% 74.19/47.09 tff(32915,plain,
% 74.19/47.09 (~v254(constB175)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[32914, 6506, 32911])).
% 74.19/47.09 tff(32916,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB175) | (~v231(constB175)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB175) | (~v231(constB175)))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(32917,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB175) | (~v231(constB175)))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(32918,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB175) | (~v231(constB175))),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[32917, 32916])).
% 74.19/47.09 tff(32919,plain,
% 74.19/47.09 (~v231(constB175)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[32918, 6528, 32898])).
% 74.19/47.09 tff(32920,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB175) | (~v221(constB175)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB175) | (~v221(constB175)))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(32921,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB175) | (~v221(constB175)))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(32922,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB175) | (~v221(constB175))),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[32921, 32920])).
% 74.19/47.09 tff(32923,plain,
% 74.19/47.09 (~v221(constB175)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[32922, 21170, 32851])).
% 74.19/47.09 tff(32924,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB175) | v231(constB175) | (~v243(constB175)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB175) | v231(constB175) | (~v243(constB175)))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(32925,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB175) | v231(constB175) | (~v243(constB175)))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(32926,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB175) | v231(constB175) | (~v243(constB175))),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[32925, 32924])).
% 74.19/47.09 tff(32927,plain,
% 74.19/47.09 (~v243(constB175)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[32926, 6542, 32923, 32919])).
% 74.19/47.09 tff(32928,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB175) | v255(constB175))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB175) | v255(constB175))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(32929,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB175) | v255(constB175))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(32930,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB175) | v255(constB175)),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[32929, 32928])).
% 74.19/47.09 tff(32931,plain,
% 74.19/47.09 (v255(constB175)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[32930, 6553, 32927])).
% 74.19/47.09 tff(32932,plain,
% 74.19/47.09 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB175)) | (~v216(constB175, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB175)) | (~v216(constB175, bitIndex2)))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(32933,plain,
% 74.19/47.09 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB175)) | (~v216(constB175, bitIndex2)))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(32934,plain,
% 74.19/47.09 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB175)) | (~v216(constB175, bitIndex2))),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[32933, 32932])).
% 74.19/47.09 tff(32935,plain,
% 74.19/47.09 (~v216(constB175, bitIndex2)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[32934, 6564, 32931])).
% 74.19/47.09 tff(32936,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB175)) | v216(constB175, bitIndex2) | v254(constB175))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB175)) | v216(constB175, bitIndex2) | v254(constB175))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(32937,plain,
% 74.19/47.09 ((v216(constB175, bitIndex2) | v254(constB175) | (~v215(constB175))) <=> ((~v215(constB175)) | v216(constB175, bitIndex2) | v254(constB175))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(32938,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB175, bitIndex2) | v254(constB175) | (~v215(constB175)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB175)) | v216(constB175, bitIndex2) | v254(constB175)))),
% 74.19/47.09 inference(monotonicity,[status(thm)],[32937])).
% 74.19/47.09 tff(32939,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB175, bitIndex2) | v254(constB175) | (~v215(constB175)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB175)) | v216(constB175, bitIndex2) | v254(constB175))),
% 74.19/47.09 inference(transitivity,[status(thm)],[32938, 32936])).
% 74.19/47.09 tff(32940,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB175, bitIndex2) | v254(constB175) | (~v215(constB175)))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(32941,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB175)) | v216(constB175, bitIndex2) | v254(constB175)),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[32940, 32939])).
% 74.19/47.09 tff(32942,plain,
% 74.19/47.09 ((~v215(constB175)) | v254(constB175)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[32941, 6578, 32935])).
% 74.19/47.09 tff(32943,plain,
% 74.19/47.09 (~v215(constB175)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[32942, 32915])).
% 74.19/47.09 tff(32944,plain,
% 74.19/47.09 ($false),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[32943, 32772])).
% 74.19/47.09 tff(32945,plain,(~(constB175 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.19/47.09 tff(32946,assumption,(constB151 = sK0_VarCurr), introduced(assumption)).
% 74.19/47.09 tff(32947,plain,
% 74.19/47.09 (v215(constB151) <=> v215(sK0_VarCurr)),
% 74.19/47.09 inference(monotonicity,[status(thm)],[32946])).
% 74.19/47.09 tff(32948,plain,
% 74.19/47.09 (v215(sK0_VarCurr) <=> v215(constB151)),
% 74.19/47.09 inference(symmetry,[status(thm)],[32947])).
% 74.19/47.09 tff(32949,plain,
% 74.19/47.09 (v215(constB151)),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[28, 32948])).
% 74.19/47.09 tff(32950,plain,
% 74.19/47.09 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB151, bitIndex1)) | v88(constB151, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB151, bitIndex1)) | v88(constB151, bitIndex1))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(32951,plain,
% 74.19/47.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB151, bitIndex1)) | v88(constB151, bitIndex1))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(32952,plain,
% 74.19/47.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB151, bitIndex1)) | v88(constB151, bitIndex1)),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[32951, 32950])).
% 74.19/47.09 tff(32953,plain,
% 74.19/47.09 (v88(constB151, bitIndex1)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[32952, 20927, 22416])).
% 74.19/47.09 tff(32954,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB151, bitIndex2) | (~v88(constB151, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB151, bitIndex2) | (~v88(constB151, bitIndex2)))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(32955,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB151, bitIndex2) | (~v88(constB151, bitIndex2)))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(32956,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB151, bitIndex2) | (~v88(constB151, bitIndex2))),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[32955, 32954])).
% 74.19/47.09 tff(32957,plain,
% 74.19/47.09 (~v88(constB151, bitIndex2)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[32956, 20913, 22458])).
% 74.19/47.09 tff(32958,plain,
% 74.19/47.09 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB151, bitIndex0)) | v88(constB151, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB151, bitIndex0)) | v88(constB151, bitIndex0))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(32959,plain,
% 74.19/47.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB151, bitIndex0)) | v88(constB151, bitIndex0))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(32960,plain,
% 74.19/47.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB151, bitIndex0)) | v88(constB151, bitIndex0)),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[32959, 32958])).
% 74.19/47.09 tff(32961,plain,
% 74.19/47.09 (v88(constB151, bitIndex0)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[32960, 6074, 22467])).
% 74.19/47.09 tff(32962,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB151, bitIndex0)) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | v141(constB151))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB151, bitIndex0)) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | v141(constB151))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(32963,plain,
% 74.19/47.09 ((v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | (~v88(constB151, bitIndex0)) | v141(constB151)) <=> ((~v88(constB151, bitIndex0)) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | v141(constB151))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(32964,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | (~v88(constB151, bitIndex0)) | v141(constB151))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB151, bitIndex0)) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | v141(constB151)))),
% 74.19/47.09 inference(monotonicity,[status(thm)],[32963])).
% 74.19/47.09 tff(32965,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | (~v88(constB151, bitIndex0)) | v141(constB151))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB151, bitIndex0)) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | v141(constB151))),
% 74.19/47.09 inference(transitivity,[status(thm)],[32964, 32962])).
% 74.19/47.09 tff(32966,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | (~v88(constB151, bitIndex0)) | v141(constB151))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(32967,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB151, bitIndex0)) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | v141(constB151)),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[32966, 32965])).
% 74.19/47.09 tff(32968,plain,
% 74.19/47.09 (v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | v141(constB151)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[32967, 20945, 32961])).
% 74.19/47.09 tff(32969,plain,
% 74.19/47.09 (v141(constB151)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[32968, 32957, 32953])).
% 74.19/47.09 tff(32970,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB151) | (~v141(constB151)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB151) | (~v141(constB151)))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(32971,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB151) | (~v141(constB151)))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(32972,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB151) | (~v141(constB151))),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[32971, 32970])).
% 74.19/47.09 tff(32973,plain,
% 74.19/47.09 (v199(constB151)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[32972, 20959, 32969])).
% 74.19/47.09 tff(32974,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB151) | (~v199(constB151)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB151) | (~v199(constB151)))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(32975,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB151) | (~v199(constB151)))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(32976,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB151) | (~v199(constB151))),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[32975, 32974])).
% 74.19/47.09 tff(32977,plain,
% 74.19/47.09 (v198(constB151)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[32976, 20970, 32973])).
% 74.19/47.09 tff(32978,plain,
% 74.19/47.09 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB151)) | (~v201(constB151)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB151)) | (~v201(constB151)))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(32979,plain,
% 74.19/47.09 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB151)) | (~v201(constB151)))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(32980,plain,
% 74.19/47.09 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB151)) | (~v201(constB151))),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[32979, 32978])).
% 74.19/47.09 tff(32981,plain,
% 74.19/47.09 (~v201(constB151)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[32980, 20984, 32977])).
% 74.19/47.09 tff(32982,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB151) | (~v198(constB151)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB151) | (~v198(constB151)))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(32983,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB151) | (~v198(constB151)))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(32984,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB151) | (~v198(constB151))),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[32983, 32982])).
% 74.19/47.09 tff(32985,plain,
% 74.19/47.09 (v197(constB151)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[32984, 20995, 32977])).
% 74.19/47.09 tff(32986,plain,
% 74.19/47.09 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB151) | (~v197(constB151)) | v201(constB151))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB151) | (~v197(constB151)) | v201(constB151))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(32987,plain,
% 74.19/47.09 (((~v197(constB151)) | v201(constB151) | v227(constB151)) <=> (v227(constB151) | (~v197(constB151)) | v201(constB151))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(32988,plain,
% 74.19/47.09 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB151)) | v201(constB151) | v227(constB151))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB151) | (~v197(constB151)) | v201(constB151)))),
% 74.19/47.09 inference(monotonicity,[status(thm)],[32987])).
% 74.19/47.09 tff(32989,plain,
% 74.19/47.09 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB151)) | v201(constB151) | v227(constB151))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB151) | (~v197(constB151)) | v201(constB151))),
% 74.19/47.09 inference(transitivity,[status(thm)],[32988, 32986])).
% 74.19/47.09 tff(32990,plain,
% 74.19/47.09 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB151)) | v201(constB151) | v227(constB151))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(32991,plain,
% 74.19/47.09 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB151) | (~v197(constB151)) | v201(constB151)),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[32990, 32989])).
% 74.19/47.09 tff(32992,plain,
% 74.19/47.09 (v227(constB151)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[32991, 21009, 32985, 32981])).
% 74.19/47.09 tff(32993,plain,
% 74.19/47.09 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB151)) | (~v223(constB151, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB151)) | (~v223(constB151, bitIndex0)))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(32994,plain,
% 74.19/47.09 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB151)) | (~v223(constB151, bitIndex0)))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(32995,plain,
% 74.19/47.09 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB151)) | (~v223(constB151, bitIndex0))),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[32994, 32993])).
% 74.19/47.09 tff(32996,plain,
% 74.19/47.09 (~v223(constB151, bitIndex0)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[32995, 21023, 32992])).
% 74.19/47.09 tff(32997,plain,
% 74.19/47.09 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB151)) | (~v199(constB151)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB151)) | (~v199(constB151)))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(32998,plain,
% 74.19/47.09 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB151)) | (~v199(constB151)))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(32999,plain,
% 74.19/47.09 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB151)) | (~v199(constB151))),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[32998, 32997])).
% 74.19/47.09 tff(33000,plain,
% 74.19/47.09 (~v183(constB151)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[32999, 21034, 32973])).
% 74.19/47.09 tff(33001,plain,
% 74.19/47.09 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB151) | (~v197(constB151)) | v183(constB151))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB151) | (~v197(constB151)) | v183(constB151))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(33002,plain,
% 74.19/47.09 (((~v197(constB151)) | v183(constB151) | v228(constB151)) <=> (v228(constB151) | (~v197(constB151)) | v183(constB151))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(33003,plain,
% 74.19/47.09 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB151)) | v183(constB151) | v228(constB151))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB151) | (~v197(constB151)) | v183(constB151)))),
% 74.19/47.09 inference(monotonicity,[status(thm)],[33002])).
% 74.19/47.09 tff(33004,plain,
% 74.19/47.09 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB151)) | v183(constB151) | v228(constB151))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB151) | (~v197(constB151)) | v183(constB151))),
% 74.19/47.09 inference(transitivity,[status(thm)],[33003, 33001])).
% 74.19/47.09 tff(33005,plain,
% 74.19/47.09 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB151)) | v183(constB151) | v228(constB151))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(33006,plain,
% 74.19/47.09 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB151) | (~v197(constB151)) | v183(constB151)),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[33005, 33004])).
% 74.19/47.09 tff(33007,plain,
% 74.19/47.09 (v228(constB151)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[33006, 6287, 32985, 33000])).
% 74.19/47.09 tff(33008,plain,
% 74.19/47.09 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB151)) | (~v223(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB151)) | (~v223(constB151, bitIndex1)))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(33009,plain,
% 74.19/47.09 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB151)) | (~v223(constB151, bitIndex1)))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(33010,plain,
% 74.19/47.09 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB151)) | (~v223(constB151, bitIndex1))),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[33009, 33008])).
% 74.19/47.09 tff(33011,plain,
% 74.19/47.09 (~v223(constB151, bitIndex1)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[33010, 6301, 33007])).
% 74.19/47.09 tff(33012,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | ((~v229(constB151)) | v223(constB151, bitIndex0) | v223(constB151, bitIndex1))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (~v229(constB151)) | v223(constB151, bitIndex0) | v223(constB151, bitIndex1))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(33013,plain,
% 74.19/47.09 ((v223(constB151, bitIndex0) | v223(constB151, bitIndex1) | (~v229(constB151))) <=> ((~v229(constB151)) | v223(constB151, bitIndex0) | v223(constB151, bitIndex1))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(33014,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB151, bitIndex0) | v223(constB151, bitIndex1) | (~v229(constB151)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | ((~v229(constB151)) | v223(constB151, bitIndex0) | v223(constB151, bitIndex1)))),
% 74.19/47.09 inference(monotonicity,[status(thm)],[33013])).
% 74.19/47.09 tff(33015,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB151, bitIndex0) | v223(constB151, bitIndex1) | (~v229(constB151)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (~v229(constB151)) | v223(constB151, bitIndex0) | v223(constB151, bitIndex1))),
% 74.19/47.09 inference(transitivity,[status(thm)],[33014, 33012])).
% 74.19/47.09 tff(33016,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB151, bitIndex0) | v223(constB151, bitIndex1) | (~v229(constB151)))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(33017,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (~v229(constB151)) | v223(constB151, bitIndex0) | v223(constB151, bitIndex1)),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[33016, 33015])).
% 74.19/47.09 tff(33018,plain,
% 74.19/47.09 ((~v229(constB151)) | v223(constB151, bitIndex0)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[33017, 21059, 33011])).
% 74.19/47.09 tff(33019,plain,
% 74.19/47.09 (~v229(constB151)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[33018, 32996])).
% 74.19/47.09 tff(33020,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB151) | (~v225(constB151)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB151) | (~v225(constB151)))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(33021,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB151) | (~v225(constB151)))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(33022,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB151) | (~v225(constB151))),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[33021, 33020])).
% 74.19/47.09 tff(33023,plain,
% 74.19/47.09 (~v225(constB151)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[33022, 21073, 33019])).
% 74.19/47.09 tff(33024,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB151) | (~v224(constB151)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB151) | (~v224(constB151)))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(33025,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB151) | (~v224(constB151)))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(33026,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB151) | (~v224(constB151))),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[33025, 33024])).
% 74.19/47.09 tff(33027,plain,
% 74.19/47.09 (~v224(constB151)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[33026, 21084, 33023])).
% 74.19/47.09 tff(33028,plain,
% 74.19/47.09 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB151)) | v223(constB151, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB151)) | v223(constB151, bitIndex1))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(33029,plain,
% 74.19/47.09 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB151)) | v223(constB151, bitIndex1))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(33030,plain,
% 74.19/47.09 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB151)) | v223(constB151, bitIndex1)),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[33029, 33028])).
% 74.19/47.09 tff(33031,plain,
% 74.19/47.09 (~v222(constB151)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[33030, 6315, 33011])).
% 74.19/47.09 tff(33032,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB151) | v224(constB151) | (~v236(constB151)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB151) | v224(constB151) | (~v236(constB151)))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(33033,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB151) | v224(constB151) | (~v236(constB151)))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(33034,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB151) | v224(constB151) | (~v236(constB151))),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[33033, 33032])).
% 74.19/47.09 tff(33035,plain,
% 74.19/47.09 (v224(constB151) | (~v236(constB151))),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[33034, 6385, 33031])).
% 74.19/47.09 tff(33036,plain,
% 74.19/47.09 (~v236(constB151)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[33035, 33027])).
% 74.19/47.09 tff(33037,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB151) | (~v232(constB151)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB151) | (~v232(constB151)))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(33038,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB151) | (~v232(constB151)))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(33039,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB151) | (~v232(constB151))),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[33038, 33037])).
% 74.19/47.09 tff(33040,plain,
% 74.19/47.09 (~v232(constB151)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[33039, 6396, 33036])).
% 74.19/47.09 tff(33041,plain,
% 74.19/47.09 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB151, bitIndex1)) | (~v140(constB151)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB151, bitIndex1)) | (~v140(constB151)))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(33042,plain,
% 74.19/47.09 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB151, bitIndex1)) | (~v140(constB151)))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(33043,plain,
% 74.19/47.09 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB151, bitIndex1)) | (~v140(constB151))),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[33042, 33041])).
% 74.19/47.09 tff(33044,plain,
% 74.19/47.09 (~v140(constB151)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[33043, 21108, 32953])).
% 74.19/47.09 tff(33045,plain,
% 74.19/47.09 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB151, bitIndex0)) | (~v139(constB151)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB151, bitIndex0)) | (~v139(constB151)))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(33046,plain,
% 74.19/47.09 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB151, bitIndex0)) | (~v139(constB151)))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(33047,plain,
% 74.19/47.09 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB151, bitIndex0)) | (~v139(constB151))),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[33046, 33045])).
% 74.19/47.09 tff(33048,plain,
% 74.19/47.09 (~v139(constB151)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[33047, 6085, 32961])).
% 74.19/47.09 tff(33049,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB151) | v139(constB151) | (~v148(constB151)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB151) | v139(constB151) | (~v148(constB151)))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(33050,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB151) | v139(constB151) | (~v148(constB151)))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(33051,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB151) | v139(constB151) | (~v148(constB151))),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[33050, 33049])).
% 74.19/47.09 tff(33052,plain,
% 74.19/47.09 (v140(constB151) | (~v148(constB151))),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[33051, 6410, 33048])).
% 74.19/47.09 tff(33053,plain,
% 74.19/47.09 (~v148(constB151)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[33052, 33044])).
% 74.19/47.09 tff(33054,plain,
% 74.19/47.09 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB151) | v148(constB151) | (~v197(constB151)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB151) | v148(constB151) | (~v197(constB151)))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(33055,plain,
% 74.19/47.09 ((v148(constB151) | (~v197(constB151)) | v252(constB151)) <=> (v252(constB151) | v148(constB151) | (~v197(constB151)))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(33056,plain,
% 74.19/47.09 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB151) | (~v197(constB151)) | v252(constB151))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB151) | v148(constB151) | (~v197(constB151))))),
% 74.19/47.09 inference(monotonicity,[status(thm)],[33055])).
% 74.19/47.09 tff(33057,plain,
% 74.19/47.09 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB151) | (~v197(constB151)) | v252(constB151))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB151) | v148(constB151) | (~v197(constB151)))),
% 74.19/47.09 inference(transitivity,[status(thm)],[33056, 33054])).
% 74.19/47.09 tff(33058,plain,
% 74.19/47.09 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB151) | (~v197(constB151)) | v252(constB151))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(33059,plain,
% 74.19/47.09 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB151) | v148(constB151) | (~v197(constB151))),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[33058, 33057])).
% 74.19/47.09 tff(33060,plain,
% 74.19/47.09 (v252(constB151) | (~v197(constB151))),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[33059, 6427, 33053])).
% 74.19/47.09 tff(33061,plain,
% 74.19/47.09 (v252(constB151)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[33060, 32985])).
% 74.19/47.09 tff(33062,plain,
% 74.19/47.09 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB151)) | (~v223(constB151, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB151)) | (~v223(constB151, bitIndex3)))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(33063,plain,
% 74.19/47.09 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB151)) | (~v223(constB151, bitIndex3)))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(33064,plain,
% 74.19/47.09 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB151)) | (~v223(constB151, bitIndex3))),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[33063, 33062])).
% 74.19/47.09 tff(33065,plain,
% 74.19/47.09 (~v223(constB151, bitIndex3)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[33064, 6441, 33061])).
% 74.19/47.09 tff(33066,plain,
% 74.19/47.09 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB151)) | v223(constB151, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB151)) | v223(constB151, bitIndex3))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(33067,plain,
% 74.19/47.09 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB151)) | v223(constB151, bitIndex3))),
% 74.19/47.09 inference(quant_inst,[status(thm)],[])).
% 74.19/47.09 tff(33068,plain,
% 74.19/47.09 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB151)) | v223(constB151, bitIndex3)),
% 74.19/47.09 inference(modus_ponens,[status(thm)],[33067, 33066])).
% 74.19/47.09 tff(33069,plain,
% 74.19/47.09 (~v237(constB151)),
% 74.19/47.09 inference(unit_resolution,[status(thm)],[33068, 6455, 33065])).
% 74.19/47.09 tff(33070,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB151) | (~v248(constB151)) | v232(constB151))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB151) | (~v248(constB151)) | v232(constB151))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(33071,plain,
% 74.19/47.09 ((v237(constB151) | v232(constB151) | (~v248(constB151))) <=> (v237(constB151) | (~v248(constB151)) | v232(constB151))),
% 74.19/47.09 inference(rewrite,[status(thm)],[])).
% 74.19/47.09 tff(33072,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB151) | v232(constB151) | (~v248(constB151)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB151) | (~v248(constB151)) | v232(constB151)))),
% 74.19/47.09 inference(monotonicity,[status(thm)],[33071])).
% 74.19/47.09 tff(33073,plain,
% 74.19/47.09 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB151) | v232(constB151) | (~v248(constB151)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB151) | (~v248(constB151)) | v232(constB151))),
% 74.19/47.09 inference(transitivity,[status(thm)],[33072, 33070])).
% 74.19/47.09 tff(33074,plain,
% 74.19/47.09 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB151) | v232(constB151) | (~v248(constB151)))),
% 74.27/47.09 inference(quant_inst,[status(thm)],[])).
% 74.27/47.09 tff(33075,plain,
% 74.27/47.09 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB151) | (~v248(constB151)) | v232(constB151)),
% 74.27/47.09 inference(modus_ponens,[status(thm)],[33074, 33073])).
% 74.27/47.09 tff(33076,plain,
% 74.27/47.09 ((~v248(constB151)) | v232(constB151)),
% 74.27/47.09 inference(unit_resolution,[status(thm)],[33075, 6469, 33069])).
% 74.27/47.09 tff(33077,plain,
% 74.27/47.09 (~v248(constB151)),
% 74.27/47.09 inference(unit_resolution,[status(thm)],[33076, 33040])).
% 74.27/47.09 tff(33078,plain,
% 74.27/47.09 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB151) | (~v244(constB151)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB151) | (~v244(constB151)))),
% 74.27/47.09 inference(rewrite,[status(thm)],[])).
% 74.27/47.09 tff(33079,plain,
% 74.27/47.09 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB151) | (~v244(constB151)))),
% 74.27/47.09 inference(quant_inst,[status(thm)],[])).
% 74.27/47.09 tff(33080,plain,
% 74.27/47.09 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB151) | (~v244(constB151))),
% 74.27/47.09 inference(modus_ponens,[status(thm)],[33079, 33078])).
% 74.27/47.09 tff(33081,plain,
% 74.27/47.09 (~v244(constB151)),
% 74.27/47.09 inference(unit_resolution,[status(thm)],[33080, 6484, 33077])).
% 74.27/47.09 tff(33082,plain,
% 74.27/47.09 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB151) | (~v216(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB151) | (~v216(constB151, bitIndex1)))),
% 74.27/47.09 inference(rewrite,[status(thm)],[])).
% 74.27/47.09 tff(33083,plain,
% 74.27/47.09 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB151) | (~v216(constB151, bitIndex1)))),
% 74.27/47.09 inference(quant_inst,[status(thm)],[])).
% 74.27/47.09 tff(33084,plain,
% 74.27/47.09 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB151) | (~v216(constB151, bitIndex1))),
% 74.27/47.09 inference(modus_ponens,[status(thm)],[33083, 33082])).
% 74.27/47.09 tff(33085,plain,
% 74.27/47.09 (~v216(constB151, bitIndex1)),
% 74.27/47.09 inference(unit_resolution,[status(thm)],[33084, 6495, 33081])).
% 74.27/47.09 tff(33086,plain,
% 74.27/47.09 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB151, bitIndex1) | (~v254(constB151)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB151, bitIndex1) | (~v254(constB151)))),
% 74.27/47.09 inference(rewrite,[status(thm)],[])).
% 74.27/47.09 tff(33087,plain,
% 74.27/47.09 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB151, bitIndex1) | (~v254(constB151)))),
% 74.27/47.09 inference(quant_inst,[status(thm)],[])).
% 74.27/47.09 tff(33088,plain,
% 74.27/47.09 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB151, bitIndex1) | (~v254(constB151))),
% 74.27/47.09 inference(modus_ponens,[status(thm)],[33087, 33086])).
% 74.27/47.09 tff(33089,plain,
% 74.27/47.09 (~v254(constB151)),
% 74.27/47.09 inference(unit_resolution,[status(thm)],[33088, 6506, 33085])).
% 74.27/47.09 tff(33090,plain,
% 74.27/47.09 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB151) | (~v231(constB151)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB151) | (~v231(constB151)))),
% 74.27/47.09 inference(rewrite,[status(thm)],[])).
% 74.27/47.09 tff(33091,plain,
% 74.27/47.09 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB151) | (~v231(constB151)))),
% 74.27/47.09 inference(quant_inst,[status(thm)],[])).
% 74.27/47.09 tff(33092,plain,
% 74.27/47.09 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB151) | (~v231(constB151))),
% 74.27/47.09 inference(modus_ponens,[status(thm)],[33091, 33090])).
% 74.27/47.09 tff(33093,plain,
% 74.27/47.09 (~v231(constB151)),
% 74.27/47.09 inference(unit_resolution,[status(thm)],[33092, 6528, 33069])).
% 74.27/47.09 tff(33094,plain,
% 74.27/47.09 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB151) | (~v221(constB151)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB151) | (~v221(constB151)))),
% 74.27/47.09 inference(rewrite,[status(thm)],[])).
% 74.27/47.09 tff(33095,plain,
% 74.27/47.09 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB151) | (~v221(constB151)))),
% 74.27/47.09 inference(quant_inst,[status(thm)],[])).
% 74.27/47.09 tff(33096,plain,
% 74.27/47.09 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB151) | (~v221(constB151))),
% 74.27/47.09 inference(modus_ponens,[status(thm)],[33095, 33094])).
% 74.27/47.09 tff(33097,plain,
% 74.27/47.09 (~v221(constB151)),
% 74.27/47.09 inference(unit_resolution,[status(thm)],[33096, 21170, 33031])).
% 74.27/47.09 tff(33098,plain,
% 74.27/47.09 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB151) | v231(constB151) | (~v243(constB151)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB151) | v231(constB151) | (~v243(constB151)))),
% 74.27/47.09 inference(rewrite,[status(thm)],[])).
% 74.27/47.09 tff(33099,plain,
% 74.27/47.09 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB151) | v231(constB151) | (~v243(constB151)))),
% 74.27/47.09 inference(quant_inst,[status(thm)],[])).
% 74.27/47.09 tff(33100,plain,
% 74.27/47.09 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB151) | v231(constB151) | (~v243(constB151))),
% 74.27/47.09 inference(modus_ponens,[status(thm)],[33099, 33098])).
% 74.27/47.09 tff(33101,plain,
% 74.27/47.09 (~v243(constB151)),
% 74.27/47.09 inference(unit_resolution,[status(thm)],[33100, 6542, 33097, 33093])).
% 74.27/47.09 tff(33102,plain,
% 74.27/47.09 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB151) | v255(constB151))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB151) | v255(constB151))),
% 74.27/47.09 inference(rewrite,[status(thm)],[])).
% 74.27/47.09 tff(33103,plain,
% 74.27/47.09 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB151) | v255(constB151))),
% 74.27/47.09 inference(quant_inst,[status(thm)],[])).
% 74.27/47.09 tff(33104,plain,
% 74.27/47.09 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB151) | v255(constB151)),
% 74.27/47.09 inference(modus_ponens,[status(thm)],[33103, 33102])).
% 74.27/47.09 tff(33105,plain,
% 74.27/47.09 (v255(constB151)),
% 74.27/47.09 inference(unit_resolution,[status(thm)],[33104, 6553, 33101])).
% 74.27/47.09 tff(33106,plain,
% 74.27/47.09 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB151)) | (~v216(constB151, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB151)) | (~v216(constB151, bitIndex2)))),
% 74.27/47.09 inference(rewrite,[status(thm)],[])).
% 74.27/47.09 tff(33107,plain,
% 74.27/47.09 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB151)) | (~v216(constB151, bitIndex2)))),
% 74.27/47.09 inference(quant_inst,[status(thm)],[])).
% 74.27/47.09 tff(33108,plain,
% 74.27/47.09 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB151)) | (~v216(constB151, bitIndex2))),
% 74.27/47.09 inference(modus_ponens,[status(thm)],[33107, 33106])).
% 74.27/47.09 tff(33109,plain,
% 74.27/47.09 (~v216(constB151, bitIndex2)),
% 74.27/47.09 inference(unit_resolution,[status(thm)],[33108, 6564, 33105])).
% 74.27/47.09 tff(33110,plain,
% 74.27/47.09 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB151)) | v254(constB151) | v216(constB151, bitIndex2))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB151)) | v254(constB151) | v216(constB151, bitIndex2))),
% 74.27/47.09 inference(rewrite,[status(thm)],[])).
% 74.27/47.09 tff(33111,plain,
% 74.27/47.09 ((v216(constB151, bitIndex2) | v254(constB151) | (~v215(constB151))) <=> ((~v215(constB151)) | v254(constB151) | v216(constB151, bitIndex2))),
% 74.27/47.09 inference(rewrite,[status(thm)],[])).
% 74.27/47.09 tff(33112,plain,
% 74.27/47.09 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB151, bitIndex2) | v254(constB151) | (~v215(constB151)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB151)) | v254(constB151) | v216(constB151, bitIndex2)))),
% 74.27/47.09 inference(monotonicity,[status(thm)],[33111])).
% 74.27/47.09 tff(33113,plain,
% 74.27/47.09 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB151, bitIndex2) | v254(constB151) | (~v215(constB151)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB151)) | v254(constB151) | v216(constB151, bitIndex2))),
% 74.27/47.09 inference(transitivity,[status(thm)],[33112, 33110])).
% 74.27/47.09 tff(33114,plain,
% 74.27/47.09 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB151, bitIndex2) | v254(constB151) | (~v215(constB151)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33115,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB151)) | v254(constB151) | v216(constB151, bitIndex2)),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33114, 33113])).
% 74.27/47.10 tff(33116,plain,
% 74.27/47.10 ((~v215(constB151)) | v254(constB151)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33115, 6578, 33109])).
% 74.27/47.10 tff(33117,plain,
% 74.27/47.10 (~v215(constB151)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33116, 33089])).
% 74.27/47.10 tff(33118,plain,
% 74.27/47.10 ($false),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33117, 32949])).
% 74.27/47.10 tff(33119,plain,(~(constB151 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.27/47.10 tff(33120,assumption,(constB191 = sK0_VarCurr), introduced(assumption)).
% 74.27/47.10 tff(33121,plain,
% 74.27/47.10 (v215(constB191) <=> v215(sK0_VarCurr)),
% 74.27/47.10 inference(monotonicity,[status(thm)],[33120])).
% 74.27/47.10 tff(33122,plain,
% 74.27/47.10 (v215(sK0_VarCurr) <=> v215(constB191)),
% 74.27/47.10 inference(symmetry,[status(thm)],[33121])).
% 74.27/47.10 tff(33123,plain,
% 74.27/47.10 (v215(constB191)),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[28, 33122])).
% 74.27/47.10 tff(33124,plain,
% 74.27/47.10 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB191, bitIndex2)) | v88(constB191, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB191, bitIndex2)) | v88(constB191, bitIndex2))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33125,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB191, bitIndex2)) | v88(constB191, bitIndex2))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33126,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB191, bitIndex2)) | v88(constB191, bitIndex2)),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33125, 33124])).
% 74.27/47.10 tff(33127,plain,
% 74.27/47.10 (v88(constB191, bitIndex2)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33126, 6015, 27032])).
% 74.27/47.10 tff(33128,plain,
% 74.27/47.10 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB191, bitIndex2)) | (~v140(constB191)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB191, bitIndex2)) | (~v140(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33129,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB191, bitIndex2)) | (~v140(constB191)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33130,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB191, bitIndex2)) | (~v140(constB191))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33129, 33128])).
% 74.27/47.10 tff(33131,plain,
% 74.27/47.10 (~v140(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33130, 6026, 33127])).
% 74.27/47.10 tff(33132,plain,
% 74.27/47.10 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB191, bitIndex0)) | v88(constB191, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB191, bitIndex0)) | v88(constB191, bitIndex0))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33133,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB191, bitIndex0)) | v88(constB191, bitIndex0))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33134,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB191, bitIndex0)) | v88(constB191, bitIndex0)),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33133, 33132])).
% 74.27/47.10 tff(33135,plain,
% 74.27/47.10 (v88(constB191, bitIndex0)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33134, 6074, 27097])).
% 74.27/47.10 tff(33136,plain,
% 74.27/47.10 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB191, bitIndex0)) | (~v139(constB191)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB191, bitIndex0)) | (~v139(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33137,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB191, bitIndex0)) | (~v139(constB191)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33138,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB191, bitIndex0)) | (~v139(constB191))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33137, 33136])).
% 74.27/47.10 tff(33139,plain,
% 74.27/47.10 (~v139(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33138, 6085, 33135])).
% 74.27/47.10 tff(33140,plain,
% 74.27/47.10 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB191) | v139(constB191) | (~v200(constB191)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB191) | v139(constB191) | (~v200(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33141,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB191) | v139(constB191) | (~v200(constB191)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33142,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB191) | v139(constB191) | (~v200(constB191))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33141, 33140])).
% 74.27/47.10 tff(33143,plain,
% 74.27/47.10 (~v200(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33142, 6102, 33139, 33131])).
% 74.27/47.10 tff(33144,plain,
% 74.27/47.10 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB191, bitIndex2)) | (~v141(constB191)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB191, bitIndex2)) | (~v141(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33145,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB191, bitIndex2)) | (~v141(constB191)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33146,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB191, bitIndex2)) | (~v141(constB191))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33145, 33144])).
% 74.27/47.10 tff(33147,plain,
% 74.27/47.10 (~v141(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33146, 6116, 33127])).
% 74.27/47.10 tff(33148,plain,
% 74.27/47.10 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB191) | v200(constB191) | (~v199(constB191)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB191) | v200(constB191) | (~v199(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33149,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB191) | v200(constB191) | (~v199(constB191)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33150,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB191) | v200(constB191) | (~v199(constB191))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33149, 33148])).
% 74.27/47.10 tff(33151,plain,
% 74.27/47.10 (~v199(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33150, 6133, 33147, 33143])).
% 74.27/47.10 tff(33152,plain,
% 74.27/47.10 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB191, bitIndex0)) | (~v143(constB191)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB191, bitIndex0)) | (~v143(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33153,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB191, bitIndex0)) | (~v143(constB191)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33154,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB191, bitIndex0)) | (~v143(constB191))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33153, 33152])).
% 74.27/47.10 tff(33155,plain,
% 74.27/47.10 (~v143(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33154, 6144, 33135])).
% 74.27/47.10 tff(33156,plain,
% 74.27/47.10 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB191, bitIndex0)) | (~v144(constB191)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB191, bitIndex0)) | (~v144(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33157,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB191, bitIndex0)) | (~v144(constB191)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33158,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB191, bitIndex0)) | (~v144(constB191))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33157, 33156])).
% 74.27/47.10 tff(33159,plain,
% 74.27/47.10 (~v144(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33158, 6158, 33135])).
% 74.27/47.10 tff(33160,plain,
% 74.27/47.10 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB191) | v144(constB191) | (~v142(constB191)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB191) | v144(constB191) | (~v142(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33161,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB191) | v144(constB191) | (~v142(constB191)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33162,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB191) | v144(constB191) | (~v142(constB191))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33161, 33160])).
% 74.27/47.10 tff(33163,plain,
% 74.27/47.10 (~v142(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33162, 6175, 33159, 33155])).
% 74.27/47.10 tff(33164,plain,
% 74.27/47.10 (((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB191) | v199(constB191) | (~v183(constB191)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB191) | v199(constB191) | (~v183(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33165,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB191) | v199(constB191) | (~v183(constB191)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33166,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB191) | v199(constB191) | (~v183(constB191))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33165, 33164])).
% 74.27/47.10 tff(33167,plain,
% 74.27/47.10 (~v183(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33166, 6189, 33163, 33151])).
% 74.27/47.10 tff(33168,plain,
% 74.27/47.10 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB191, bitIndex1) | (~v88(constB191, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB191, bitIndex1) | (~v88(constB191, bitIndex1)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33169,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB191, bitIndex1) | (~v88(constB191, bitIndex1)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33170,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB191, bitIndex1) | (~v88(constB191, bitIndex1))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33169, 33168])).
% 74.27/47.10 tff(33171,plain,
% 74.27/47.10 (~v88(constB191, bitIndex1)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33170, 6234, 27066])).
% 74.27/47.10 tff(33172,plain,
% 74.27/47.10 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB191, bitIndex0)) | v147(constB191) | (~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB191, bitIndex0)) | v147(constB191) | (~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33173,plain,
% 74.27/47.10 (((~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)) | v147(constB191)) <=> ((~v88(constB191, bitIndex0)) | v147(constB191) | (~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33174,plain,
% 74.27/47.10 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)) | v147(constB191))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB191, bitIndex0)) | v147(constB191) | (~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1)))),
% 74.27/47.10 inference(monotonicity,[status(thm)],[33173])).
% 74.27/47.10 tff(33175,plain,
% 74.27/47.10 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)) | v147(constB191))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB191, bitIndex0)) | v147(constB191) | (~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1))),
% 74.27/47.10 inference(transitivity,[status(thm)],[33174, 33172])).
% 74.27/47.10 tff(33176,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1) | (~v88(constB191, bitIndex0)) | v147(constB191))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33177,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (~v88(constB191, bitIndex0)) | v147(constB191) | (~v88(constB191, bitIndex2)) | v88(constB191, bitIndex1)),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33176, 33175])).
% 74.27/47.10 tff(33178,plain,
% 74.27/47.10 (v147(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33177, 6248, 33135, 33127, 33171])).
% 74.27/47.10 tff(33179,plain,
% 74.27/47.10 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB191) | (~v147(constB191)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB191) | (~v147(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33180,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB191) | (~v147(constB191)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33181,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB191) | (~v147(constB191))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33180, 33179])).
% 74.27/47.10 tff(33182,plain,
% 74.27/47.10 (v145(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33181, 6262, 33178])).
% 74.27/47.10 tff(33183,plain,
% 74.27/47.10 (((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB191) | (~v145(constB191)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB191) | (~v145(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33184,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB191) | (~v145(constB191)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33185,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB191) | (~v145(constB191))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33184, 33183])).
% 74.27/47.10 tff(33186,plain,
% 74.27/47.10 (v197(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33185, 6273, 33182])).
% 74.27/47.10 tff(33187,plain,
% 74.27/47.10 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB191) | v183(constB191) | (~v197(constB191)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB191) | v183(constB191) | (~v197(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33188,plain,
% 74.27/47.10 (((~v197(constB191)) | v183(constB191) | v228(constB191)) <=> (v228(constB191) | v183(constB191) | (~v197(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33189,plain,
% 74.27/47.10 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB191)) | v183(constB191) | v228(constB191))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB191) | v183(constB191) | (~v197(constB191))))),
% 74.27/47.10 inference(monotonicity,[status(thm)],[33188])).
% 74.27/47.10 tff(33190,plain,
% 74.27/47.10 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB191)) | v183(constB191) | v228(constB191))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB191) | v183(constB191) | (~v197(constB191)))),
% 74.27/47.10 inference(transitivity,[status(thm)],[33189, 33187])).
% 74.27/47.10 tff(33191,plain,
% 74.27/47.10 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB191)) | v183(constB191) | v228(constB191))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33192,plain,
% 74.27/47.10 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB191) | v183(constB191) | (~v197(constB191))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33191, 33190])).
% 74.27/47.10 tff(33193,plain,
% 74.27/47.10 (v228(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33192, 6287, 33186, 33167])).
% 74.27/47.10 tff(33194,plain,
% 74.27/47.10 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB191)) | (~v223(constB191, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB191)) | (~v223(constB191, bitIndex1)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33195,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB191)) | (~v223(constB191, bitIndex1)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33196,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB191)) | (~v223(constB191, bitIndex1))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33195, 33194])).
% 74.27/47.10 tff(33197,plain,
% 74.27/47.10 (~v223(constB191, bitIndex1)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33196, 6301, 33193])).
% 74.27/47.10 tff(33198,plain,
% 74.27/47.10 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB191)) | v223(constB191, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB191)) | v223(constB191, bitIndex1))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33199,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB191)) | v223(constB191, bitIndex1))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33200,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB191)) | v223(constB191, bitIndex1)),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33199, 33198])).
% 74.27/47.10 tff(33201,plain,
% 74.27/47.10 (~v222(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33200, 6315, 33197])).
% 74.27/47.10 tff(33202,plain,
% 74.27/47.10 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB191) | v200(constB191) | (~v166(constB191)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB191) | v200(constB191) | (~v166(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33203,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB191) | v200(constB191) | (~v166(constB191)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33204,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB191) | v200(constB191) | (~v166(constB191))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33203, 33202])).
% 74.27/47.10 tff(33205,plain,
% 74.27/47.10 (~v166(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33204, 6329, 33147, 33143])).
% 74.27/47.10 tff(33206,plain,
% 74.27/47.10 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB191) | v166(constB191) | (~v197(constB191)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB191) | v166(constB191) | (~v197(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33207,plain,
% 74.27/47.10 (((~v197(constB191)) | v166(constB191) | v241(constB191)) <=> (v241(constB191) | v166(constB191) | (~v197(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33208,plain,
% 74.27/47.10 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB191)) | v166(constB191) | v241(constB191))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB191) | v166(constB191) | (~v197(constB191))))),
% 74.27/47.10 inference(monotonicity,[status(thm)],[33207])).
% 74.27/47.10 tff(33209,plain,
% 74.27/47.10 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB191)) | v166(constB191) | v241(constB191))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB191) | v166(constB191) | (~v197(constB191)))),
% 74.27/47.10 inference(transitivity,[status(thm)],[33208, 33206])).
% 74.27/47.10 tff(33210,plain,
% 74.27/47.10 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB191)) | v166(constB191) | v241(constB191))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33211,plain,
% 74.27/47.10 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB191) | v166(constB191) | (~v197(constB191))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33210, 33209])).
% 74.27/47.10 tff(33212,plain,
% 74.27/47.10 (v241(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33211, 6343, 33186, 33205])).
% 74.27/47.10 tff(33213,plain,
% 74.27/47.10 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB191)) | (~v223(constB191, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB191)) | (~v223(constB191, bitIndex2)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33214,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB191)) | (~v223(constB191, bitIndex2)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33215,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB191)) | (~v223(constB191, bitIndex2))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33214, 33213])).
% 74.27/47.10 tff(33216,plain,
% 74.27/47.10 (~v223(constB191, bitIndex2)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33215, 6357, 33212])).
% 74.27/47.10 tff(33217,plain,
% 74.27/47.10 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB191)) | v223(constB191, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB191)) | v223(constB191, bitIndex2))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33218,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB191)) | v223(constB191, bitIndex2))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33219,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB191)) | v223(constB191, bitIndex2)),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33218, 33217])).
% 74.27/47.10 tff(33220,plain,
% 74.27/47.10 (~v224(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33219, 6371, 33216])).
% 74.27/47.10 tff(33221,plain,
% 74.27/47.10 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB191) | v224(constB191) | (~v236(constB191)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB191) | v224(constB191) | (~v236(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33222,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB191) | v224(constB191) | (~v236(constB191)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33223,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB191) | v224(constB191) | (~v236(constB191))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33222, 33221])).
% 74.27/47.10 tff(33224,plain,
% 74.27/47.10 (~v236(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33223, 6385, 33220, 33201])).
% 74.27/47.10 tff(33225,plain,
% 74.27/47.10 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB191) | (~v232(constB191)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB191) | (~v232(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33226,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB191) | (~v232(constB191)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33227,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB191) | (~v232(constB191))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33226, 33225])).
% 74.27/47.10 tff(33228,plain,
% 74.27/47.10 (~v232(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33227, 6396, 33224])).
% 74.27/47.10 tff(33229,plain,
% 74.27/47.10 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB191) | v139(constB191) | (~v148(constB191)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB191) | v139(constB191) | (~v148(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33230,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB191) | v139(constB191) | (~v148(constB191)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33231,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB191) | v139(constB191) | (~v148(constB191))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33230, 33229])).
% 74.27/47.10 tff(33232,plain,
% 74.27/47.10 (~v148(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33231, 6410, 33139, 33131])).
% 74.27/47.10 tff(33233,plain,
% 74.27/47.10 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB191) | v148(constB191) | (~v197(constB191)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB191) | v148(constB191) | (~v197(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33234,plain,
% 74.27/47.10 ((v148(constB191) | (~v197(constB191)) | v252(constB191)) <=> (v252(constB191) | v148(constB191) | (~v197(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33235,plain,
% 74.27/47.10 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB191) | (~v197(constB191)) | v252(constB191))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB191) | v148(constB191) | (~v197(constB191))))),
% 74.27/47.10 inference(monotonicity,[status(thm)],[33234])).
% 74.27/47.10 tff(33236,plain,
% 74.27/47.10 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB191) | (~v197(constB191)) | v252(constB191))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB191) | v148(constB191) | (~v197(constB191)))),
% 74.27/47.10 inference(transitivity,[status(thm)],[33235, 33233])).
% 74.27/47.10 tff(33237,plain,
% 74.27/47.10 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB191) | (~v197(constB191)) | v252(constB191))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33238,plain,
% 74.27/47.10 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB191) | v148(constB191) | (~v197(constB191))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33237, 33236])).
% 74.27/47.10 tff(33239,plain,
% 74.27/47.10 (v252(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33238, 6427, 33186, 33232])).
% 74.27/47.10 tff(33240,plain,
% 74.27/47.10 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB191)) | (~v223(constB191, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB191)) | (~v223(constB191, bitIndex3)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33241,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB191)) | (~v223(constB191, bitIndex3)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33242,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB191)) | (~v223(constB191, bitIndex3))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33241, 33240])).
% 74.27/47.10 tff(33243,plain,
% 74.27/47.10 (~v223(constB191, bitIndex3)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33242, 6441, 33239])).
% 74.27/47.10 tff(33244,plain,
% 74.27/47.10 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB191)) | v223(constB191, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB191)) | v223(constB191, bitIndex3))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33245,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB191)) | v223(constB191, bitIndex3))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33246,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB191)) | v223(constB191, bitIndex3)),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33245, 33244])).
% 74.27/47.10 tff(33247,plain,
% 74.27/47.10 (~v237(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33246, 6455, 33243])).
% 74.27/47.10 tff(33248,plain,
% 74.27/47.10 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB191) | v232(constB191) | (~v248(constB191)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB191) | v232(constB191) | (~v248(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33249,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB191) | v232(constB191) | (~v248(constB191)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33250,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB191) | v232(constB191) | (~v248(constB191))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33249, 33248])).
% 74.27/47.10 tff(33251,plain,
% 74.27/47.10 (v232(constB191) | (~v248(constB191))),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33250, 6469, 33247])).
% 74.27/47.10 tff(33252,plain,
% 74.27/47.10 (~v248(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33251, 33228])).
% 74.27/47.10 tff(33253,plain,
% 74.27/47.10 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB191) | (~v244(constB191)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB191) | (~v244(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33254,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB191) | (~v244(constB191)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33255,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB191) | (~v244(constB191))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33254, 33253])).
% 74.27/47.10 tff(33256,plain,
% 74.27/47.10 (~v244(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33255, 6484, 33252])).
% 74.27/47.10 tff(33257,plain,
% 74.27/47.10 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB191) | (~v216(constB191, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB191) | (~v216(constB191, bitIndex1)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33258,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB191) | (~v216(constB191, bitIndex1)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33259,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB191) | (~v216(constB191, bitIndex1))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33258, 33257])).
% 74.27/47.10 tff(33260,plain,
% 74.27/47.10 (~v216(constB191, bitIndex1)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33259, 6495, 33256])).
% 74.27/47.10 tff(33261,plain,
% 74.27/47.10 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB191, bitIndex1) | (~v254(constB191)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB191, bitIndex1) | (~v254(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33262,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB191, bitIndex1) | (~v254(constB191)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33263,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB191, bitIndex1) | (~v254(constB191))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33262, 33261])).
% 74.27/47.10 tff(33264,plain,
% 74.27/47.10 (~v254(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33263, 6506, 33260])).
% 74.27/47.10 tff(33265,plain,
% 74.27/47.10 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB191) | (~v221(constB191)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB191) | (~v221(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33266,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB191) | (~v221(constB191)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33267,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB191) | (~v221(constB191))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33266, 33265])).
% 74.27/47.10 tff(33268,plain,
% 74.27/47.10 (~v221(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33267, 6517, 33220])).
% 74.27/47.10 tff(33269,plain,
% 74.27/47.10 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB191) | (~v231(constB191)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB191) | (~v231(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33270,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB191) | (~v231(constB191)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33271,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB191) | (~v231(constB191))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33270, 33269])).
% 74.27/47.10 tff(33272,plain,
% 74.27/47.10 (~v231(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33271, 6528, 33247])).
% 74.27/47.10 tff(33273,plain,
% 74.27/47.10 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB191) | v231(constB191) | (~v243(constB191)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB191) | v231(constB191) | (~v243(constB191)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33274,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB191) | v231(constB191) | (~v243(constB191)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33275,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB191) | v231(constB191) | (~v243(constB191))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33274, 33273])).
% 74.27/47.10 tff(33276,plain,
% 74.27/47.10 (~v243(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33275, 6542, 33272, 33268])).
% 74.27/47.10 tff(33277,plain,
% 74.27/47.10 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB191) | v255(constB191))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB191) | v255(constB191))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33278,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB191) | v255(constB191))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33279,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB191) | v255(constB191)),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33278, 33277])).
% 74.27/47.10 tff(33280,plain,
% 74.27/47.10 (v255(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33279, 6553, 33276])).
% 74.27/47.10 tff(33281,plain,
% 74.27/47.10 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB191)) | (~v216(constB191, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB191)) | (~v216(constB191, bitIndex2)))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33282,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB191)) | (~v216(constB191, bitIndex2)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33283,plain,
% 74.27/47.10 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB191)) | (~v216(constB191, bitIndex2))),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33282, 33281])).
% 74.27/47.10 tff(33284,plain,
% 74.27/47.10 (~v216(constB191, bitIndex2)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33283, 6564, 33280])).
% 74.27/47.10 tff(33285,plain,
% 74.27/47.10 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB191)) | v216(constB191, bitIndex2) | v254(constB191))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB191)) | v216(constB191, bitIndex2) | v254(constB191))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33286,plain,
% 74.27/47.10 ((v216(constB191, bitIndex2) | v254(constB191) | (~v215(constB191))) <=> ((~v215(constB191)) | v216(constB191, bitIndex2) | v254(constB191))),
% 74.27/47.10 inference(rewrite,[status(thm)],[])).
% 74.27/47.10 tff(33287,plain,
% 74.27/47.10 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB191, bitIndex2) | v254(constB191) | (~v215(constB191)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB191)) | v216(constB191, bitIndex2) | v254(constB191)))),
% 74.27/47.10 inference(monotonicity,[status(thm)],[33286])).
% 74.27/47.10 tff(33288,plain,
% 74.27/47.10 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB191, bitIndex2) | v254(constB191) | (~v215(constB191)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB191)) | v216(constB191, bitIndex2) | v254(constB191))),
% 74.27/47.10 inference(transitivity,[status(thm)],[33287, 33285])).
% 74.27/47.10 tff(33289,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB191, bitIndex2) | v254(constB191) | (~v215(constB191)))),
% 74.27/47.10 inference(quant_inst,[status(thm)],[])).
% 74.27/47.10 tff(33290,plain,
% 74.27/47.10 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB191)) | v216(constB191, bitIndex2) | v254(constB191)),
% 74.27/47.10 inference(modus_ponens,[status(thm)],[33289, 33288])).
% 74.27/47.10 tff(33291,plain,
% 74.27/47.10 ((~v215(constB191)) | v254(constB191)),
% 74.27/47.10 inference(unit_resolution,[status(thm)],[33290, 6578, 33284])).
% 74.27/47.11 tff(33292,plain,
% 74.27/47.11 (~v215(constB191)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33291, 33264])).
% 74.27/47.11 tff(33293,plain,
% 74.27/47.11 ($false),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33292, 33123])).
% 74.27/47.11 tff(33294,plain,(~(constB191 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.27/47.11 tff(33295,assumption,(constB111 = sK0_VarCurr), introduced(assumption)).
% 74.27/47.11 tff(33296,plain,
% 74.27/47.11 (v215(constB111) <=> v215(sK0_VarCurr)),
% 74.27/47.11 inference(monotonicity,[status(thm)],[33295])).
% 74.27/47.11 tff(33297,plain,
% 74.27/47.11 (v215(sK0_VarCurr) <=> v215(constB111)),
% 74.27/47.11 inference(symmetry,[status(thm)],[33296])).
% 74.27/47.11 tff(33298,plain,
% 74.27/47.11 (v215(constB111)),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[28, 33297])).
% 74.27/47.11 tff(33299,plain,
% 74.27/47.11 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB111, bitIndex0)) | v88(constB111, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB111, bitIndex0)) | v88(constB111, bitIndex0))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33300,plain,
% 74.27/47.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB111, bitIndex0)) | v88(constB111, bitIndex0))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33301,plain,
% 74.27/47.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB111, bitIndex0)) | v88(constB111, bitIndex0)),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33300, 33299])).
% 74.27/47.11 tff(33302,plain,
% 74.27/47.11 (v88(constB111, bitIndex0)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33301, 6074, 16754])).
% 74.27/47.11 tff(33303,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB111, bitIndex2) | (~v88(constB111, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB111, bitIndex2) | (~v88(constB111, bitIndex2)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33304,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB111, bitIndex2) | (~v88(constB111, bitIndex2)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33305,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB111, bitIndex2) | (~v88(constB111, bitIndex2))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33304, 33303])).
% 74.27/47.11 tff(33306,plain,
% 74.27/47.11 (~v88(constB111, bitIndex2)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33305, 20913, 16791])).
% 74.27/47.11 tff(33307,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB111, bitIndex1) | (~v88(constB111, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB111, bitIndex1) | (~v88(constB111, bitIndex1)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33308,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB111, bitIndex1) | (~v88(constB111, bitIndex1)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33309,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB111, bitIndex1) | (~v88(constB111, bitIndex1))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33308, 33307])).
% 74.27/47.11 tff(33310,plain,
% 74.27/47.11 (~v88(constB111, bitIndex1)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33309, 6234, 16800])).
% 74.27/47.11 tff(33311,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB111, bitIndex1) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)) | v140(constB111))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB111, bitIndex1) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)) | v140(constB111))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33312,plain,
% 74.27/47.11 ((v88(constB111, bitIndex2) | v88(constB111, bitIndex1) | (~v88(constB111, bitIndex0)) | v140(constB111)) <=> (v88(constB111, bitIndex1) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)) | v140(constB111))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33313,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB111, bitIndex2) | v88(constB111, bitIndex1) | (~v88(constB111, bitIndex0)) | v140(constB111))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB111, bitIndex1) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)) | v140(constB111)))),
% 74.27/47.11 inference(monotonicity,[status(thm)],[33312])).
% 74.27/47.11 tff(33314,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB111, bitIndex2) | v88(constB111, bitIndex1) | (~v88(constB111, bitIndex0)) | v140(constB111))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB111, bitIndex1) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)) | v140(constB111))),
% 74.27/47.11 inference(transitivity,[status(thm)],[33313, 33311])).
% 74.27/47.11 tff(33315,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB111, bitIndex2) | v88(constB111, bitIndex1) | (~v88(constB111, bitIndex0)) | v140(constB111))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33316,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB111, bitIndex1) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)) | v140(constB111)),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33315, 33314])).
% 74.27/47.11 tff(33317,plain,
% 74.27/47.11 (v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)) | v140(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33316, 27506, 33310])).
% 74.27/47.11 tff(33318,plain,
% 74.27/47.11 (v140(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33317, 33306, 33302])).
% 74.27/47.11 tff(33319,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB111) | (~v140(constB111)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB111) | (~v140(constB111)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33320,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB111) | (~v140(constB111)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33321,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB111) | (~v140(constB111))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33320, 33319])).
% 74.27/47.11 tff(33322,plain,
% 74.27/47.11 (v200(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33321, 27520, 33318])).
% 74.27/47.11 tff(33323,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB111) | (~v200(constB111)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB111) | (~v200(constB111)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33324,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB111) | (~v200(constB111)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33325,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB111) | (~v200(constB111))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33324, 33323])).
% 74.27/47.11 tff(33326,plain,
% 74.27/47.11 (v199(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33325, 27531, 33322])).
% 74.27/47.11 tff(33327,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB111) | (~v199(constB111)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB111) | (~v199(constB111)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33328,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB111) | (~v199(constB111)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33329,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB111) | (~v199(constB111))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33328, 33327])).
% 74.27/47.11 tff(33330,plain,
% 74.27/47.11 (v198(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33329, 20970, 33326])).
% 74.27/47.11 tff(33331,plain,
% 74.27/47.11 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB111)) | (~v201(constB111)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB111)) | (~v201(constB111)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33332,plain,
% 74.27/47.11 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB111)) | (~v201(constB111)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33333,plain,
% 74.27/47.11 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB111)) | (~v201(constB111))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33332, 33331])).
% 74.27/47.11 tff(33334,plain,
% 74.27/47.11 (~v201(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33333, 20984, 33330])).
% 74.27/47.11 tff(33335,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB111) | (~v198(constB111)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB111) | (~v198(constB111)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33336,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB111) | (~v198(constB111)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33337,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB111) | (~v198(constB111))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33336, 33335])).
% 74.27/47.11 tff(33338,plain,
% 74.27/47.11 (v197(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33337, 20995, 33330])).
% 74.27/47.11 tff(33339,plain,
% 74.27/47.11 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB111) | (~v197(constB111)) | v201(constB111))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB111) | (~v197(constB111)) | v201(constB111))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33340,plain,
% 74.27/47.11 (((~v197(constB111)) | v201(constB111) | v227(constB111)) <=> (v227(constB111) | (~v197(constB111)) | v201(constB111))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33341,plain,
% 74.27/47.11 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB111)) | v201(constB111) | v227(constB111))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB111) | (~v197(constB111)) | v201(constB111)))),
% 74.27/47.11 inference(monotonicity,[status(thm)],[33340])).
% 74.27/47.11 tff(33342,plain,
% 74.27/47.11 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB111)) | v201(constB111) | v227(constB111))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB111) | (~v197(constB111)) | v201(constB111))),
% 74.27/47.11 inference(transitivity,[status(thm)],[33341, 33339])).
% 74.27/47.11 tff(33343,plain,
% 74.27/47.11 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB111)) | v201(constB111) | v227(constB111))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33344,plain,
% 74.27/47.11 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB111) | (~v197(constB111)) | v201(constB111)),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33343, 33342])).
% 74.27/47.11 tff(33345,plain,
% 74.27/47.11 (v227(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33344, 21009, 33338, 33334])).
% 74.27/47.11 tff(33346,plain,
% 74.27/47.11 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB111)) | (~v223(constB111, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB111)) | (~v223(constB111, bitIndex0)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33347,plain,
% 74.27/47.11 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB111)) | (~v223(constB111, bitIndex0)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33348,plain,
% 74.27/47.11 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB111)) | (~v223(constB111, bitIndex0))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33347, 33346])).
% 74.27/47.11 tff(33349,plain,
% 74.27/47.11 (~v223(constB111, bitIndex0)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33348, 21023, 33345])).
% 74.27/47.11 tff(33350,plain,
% 74.27/47.11 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB111)) | (~v199(constB111)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB111)) | (~v199(constB111)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33351,plain,
% 74.27/47.11 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB111)) | (~v199(constB111)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33352,plain,
% 74.27/47.11 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB111)) | (~v199(constB111))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33351, 33350])).
% 74.27/47.11 tff(33353,plain,
% 74.27/47.11 (~v183(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33352, 21034, 33326])).
% 74.27/47.11 tff(33354,plain,
% 74.27/47.11 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB111) | (~v197(constB111)) | v183(constB111))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB111) | (~v197(constB111)) | v183(constB111))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33355,plain,
% 74.27/47.11 (((~v197(constB111)) | v183(constB111) | v228(constB111)) <=> (v228(constB111) | (~v197(constB111)) | v183(constB111))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33356,plain,
% 74.27/47.11 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB111)) | v183(constB111) | v228(constB111))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB111) | (~v197(constB111)) | v183(constB111)))),
% 74.27/47.11 inference(monotonicity,[status(thm)],[33355])).
% 74.27/47.11 tff(33357,plain,
% 74.27/47.11 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB111)) | v183(constB111) | v228(constB111))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB111) | (~v197(constB111)) | v183(constB111))),
% 74.27/47.11 inference(transitivity,[status(thm)],[33356, 33354])).
% 74.27/47.11 tff(33358,plain,
% 74.27/47.11 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB111)) | v183(constB111) | v228(constB111))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33359,plain,
% 74.27/47.11 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB111) | (~v197(constB111)) | v183(constB111)),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33358, 33357])).
% 74.27/47.11 tff(33360,plain,
% 74.27/47.11 (v228(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33359, 6287, 33338, 33353])).
% 74.27/47.11 tff(33361,plain,
% 74.27/47.11 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB111)) | (~v223(constB111, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB111)) | (~v223(constB111, bitIndex1)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33362,plain,
% 74.27/47.11 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB111)) | (~v223(constB111, bitIndex1)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33363,plain,
% 74.27/47.11 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB111)) | (~v223(constB111, bitIndex1))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33362, 33361])).
% 74.27/47.11 tff(33364,plain,
% 74.27/47.11 (~v223(constB111, bitIndex1)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33363, 6301, 33360])).
% 74.27/47.11 tff(33365,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB111, bitIndex1) | v223(constB111, bitIndex0) | (~v229(constB111)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB111, bitIndex1) | v223(constB111, bitIndex0) | (~v229(constB111)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33366,plain,
% 74.27/47.11 ((v223(constB111, bitIndex0) | v223(constB111, bitIndex1) | (~v229(constB111))) <=> (v223(constB111, bitIndex1) | v223(constB111, bitIndex0) | (~v229(constB111)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33367,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB111, bitIndex0) | v223(constB111, bitIndex1) | (~v229(constB111)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB111, bitIndex1) | v223(constB111, bitIndex0) | (~v229(constB111))))),
% 74.27/47.11 inference(monotonicity,[status(thm)],[33366])).
% 74.27/47.11 tff(33368,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB111, bitIndex0) | v223(constB111, bitIndex1) | (~v229(constB111)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB111, bitIndex1) | v223(constB111, bitIndex0) | (~v229(constB111)))),
% 74.27/47.11 inference(transitivity,[status(thm)],[33367, 33365])).
% 74.27/47.11 tff(33369,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB111, bitIndex0) | v223(constB111, bitIndex1) | (~v229(constB111)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33370,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB111, bitIndex1) | v223(constB111, bitIndex0) | (~v229(constB111))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33369, 33368])).
% 74.27/47.11 tff(33371,plain,
% 74.27/47.11 (~v229(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33370, 21059, 33364, 33349])).
% 74.27/47.11 tff(33372,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB111) | (~v225(constB111)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB111) | (~v225(constB111)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33373,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB111) | (~v225(constB111)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33374,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB111) | (~v225(constB111))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33373, 33372])).
% 74.27/47.11 tff(33375,plain,
% 74.27/47.11 (~v225(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33374, 21073, 33371])).
% 74.27/47.11 tff(33376,plain,
% 74.27/47.11 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB111)) | (~v200(constB111)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB111)) | (~v200(constB111)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33377,plain,
% 74.27/47.11 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB111)) | (~v200(constB111)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33378,plain,
% 74.27/47.11 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB111)) | (~v200(constB111))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33377, 33376])).
% 74.27/47.11 tff(33379,plain,
% 74.27/47.11 (~v166(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33378, 27591, 33322])).
% 74.27/47.11 tff(33380,plain,
% 74.27/47.11 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB111) | (~v197(constB111)) | v166(constB111))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB111) | (~v197(constB111)) | v166(constB111))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33381,plain,
% 74.27/47.11 (((~v197(constB111)) | v166(constB111) | v241(constB111)) <=> (v241(constB111) | (~v197(constB111)) | v166(constB111))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33382,plain,
% 74.27/47.11 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB111)) | v166(constB111) | v241(constB111))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB111) | (~v197(constB111)) | v166(constB111)))),
% 74.27/47.11 inference(monotonicity,[status(thm)],[33381])).
% 74.27/47.11 tff(33383,plain,
% 74.27/47.11 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB111)) | v166(constB111) | v241(constB111))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB111) | (~v197(constB111)) | v166(constB111))),
% 74.27/47.11 inference(transitivity,[status(thm)],[33382, 33380])).
% 74.27/47.11 tff(33384,plain,
% 74.27/47.11 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB111)) | v166(constB111) | v241(constB111))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33385,plain,
% 74.27/47.11 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB111) | (~v197(constB111)) | v166(constB111)),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33384, 33383])).
% 74.27/47.11 tff(33386,plain,
% 74.27/47.11 (v241(constB111) | (~v197(constB111))),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33385, 6343, 33379])).
% 74.27/47.11 tff(33387,plain,
% 74.27/47.11 (v241(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33386, 33338])).
% 74.27/47.11 tff(33388,plain,
% 74.27/47.11 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB111)) | (~v223(constB111, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB111)) | (~v223(constB111, bitIndex2)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33389,plain,
% 74.27/47.11 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB111)) | (~v223(constB111, bitIndex2)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33390,plain,
% 74.27/47.11 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB111)) | (~v223(constB111, bitIndex2))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33389, 33388])).
% 74.27/47.11 tff(33391,plain,
% 74.27/47.11 (~v223(constB111, bitIndex2)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33390, 6357, 33387])).
% 74.27/47.11 tff(33392,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB111) | v223(constB111, bitIndex2) | (~v242(constB111)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB111) | v223(constB111, bitIndex2) | (~v242(constB111)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33393,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB111) | v223(constB111, bitIndex2) | (~v242(constB111)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33394,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB111) | v223(constB111, bitIndex2) | (~v242(constB111))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33393, 33392])).
% 74.27/47.11 tff(33395,plain,
% 74.27/47.11 (v225(constB111) | (~v242(constB111))),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33394, 27617, 33391])).
% 74.27/47.11 tff(33396,plain,
% 74.27/47.11 (~v242(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33395, 33375])).
% 74.27/47.11 tff(33397,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB111) | (~v238(constB111)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB111) | (~v238(constB111)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33398,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB111) | (~v238(constB111)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33399,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB111) | (~v238(constB111))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33398, 33397])).
% 74.27/47.11 tff(33400,plain,
% 74.27/47.11 (~v238(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33399, 27632, 33396])).
% 74.27/47.11 tff(33401,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB111) | (~v237(constB111)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB111) | (~v237(constB111)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33402,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB111) | (~v237(constB111)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33403,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB111) | (~v237(constB111))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33402, 33401])).
% 74.27/47.11 tff(33404,plain,
% 74.27/47.11 (~v237(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33403, 27643, 33400])).
% 74.27/47.11 tff(33405,plain,
% 74.27/47.11 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB111)) | v223(constB111, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB111)) | v223(constB111, bitIndex2))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33406,plain,
% 74.27/47.11 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB111)) | v223(constB111, bitIndex2))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33407,plain,
% 74.27/47.11 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB111)) | v223(constB111, bitIndex2)),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33406, 33405])).
% 74.27/47.11 tff(33408,plain,
% 74.27/47.11 (~v224(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33407, 6371, 33391])).
% 74.27/47.11 tff(33409,plain,
% 74.27/47.11 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB111)) | v223(constB111, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB111)) | v223(constB111, bitIndex1))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33410,plain,
% 74.27/47.11 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB111)) | v223(constB111, bitIndex1))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33411,plain,
% 74.27/47.11 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB111)) | v223(constB111, bitIndex1)),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33410, 33409])).
% 74.27/47.11 tff(33412,plain,
% 74.27/47.11 (~v222(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33411, 6315, 33364])).
% 74.27/47.11 tff(33413,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB111) | v224(constB111) | (~v236(constB111)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB111) | v224(constB111) | (~v236(constB111)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33414,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB111) | v224(constB111) | (~v236(constB111)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33415,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB111) | v224(constB111) | (~v236(constB111))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33414, 33413])).
% 74.27/47.11 tff(33416,plain,
% 74.27/47.11 (~v236(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33415, 6385, 33412, 33408])).
% 74.27/47.11 tff(33417,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB111) | (~v232(constB111)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB111) | (~v232(constB111)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33418,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB111) | (~v232(constB111)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33419,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB111) | (~v232(constB111))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33418, 33417])).
% 74.27/47.11 tff(33420,plain,
% 74.27/47.11 (~v232(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33419, 6396, 33416])).
% 74.27/47.11 tff(33421,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB111) | v232(constB111) | (~v248(constB111)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB111) | v232(constB111) | (~v248(constB111)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33422,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB111) | v232(constB111) | (~v248(constB111)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33423,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB111) | v232(constB111) | (~v248(constB111))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33422, 33421])).
% 74.27/47.11 tff(33424,plain,
% 74.27/47.11 (v237(constB111) | (~v248(constB111))),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33423, 6469, 33420])).
% 74.27/47.11 tff(33425,plain,
% 74.27/47.11 (~v248(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33424, 33404])).
% 74.27/47.11 tff(33426,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB111) | (~v244(constB111)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB111) | (~v244(constB111)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33427,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB111) | (~v244(constB111)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33428,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB111) | (~v244(constB111))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33427, 33426])).
% 74.27/47.11 tff(33429,plain,
% 74.27/47.11 (~v244(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33428, 6484, 33425])).
% 74.27/47.11 tff(33430,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB111) | (~v216(constB111, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB111) | (~v216(constB111, bitIndex1)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33431,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB111) | (~v216(constB111, bitIndex1)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33432,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB111) | (~v216(constB111, bitIndex1))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33431, 33430])).
% 74.27/47.11 tff(33433,plain,
% 74.27/47.11 (~v216(constB111, bitIndex1)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33432, 6495, 33429])).
% 74.27/47.11 tff(33434,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB111, bitIndex1) | (~v254(constB111)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB111, bitIndex1) | (~v254(constB111)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33435,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB111, bitIndex1) | (~v254(constB111)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33436,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB111, bitIndex1) | (~v254(constB111))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33435, 33434])).
% 74.27/47.11 tff(33437,plain,
% 74.27/47.11 (~v254(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33436, 6506, 33433])).
% 74.27/47.11 tff(33438,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB111) | (~v231(constB111)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB111) | (~v231(constB111)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33439,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB111) | (~v231(constB111)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33440,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB111) | (~v231(constB111))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33439, 33438])).
% 74.27/47.11 tff(33441,plain,
% 74.27/47.11 (~v231(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33440, 27687, 33420])).
% 74.27/47.11 tff(33442,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB111) | (~v221(constB111)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB111) | (~v221(constB111)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33443,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB111) | (~v221(constB111)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33444,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB111) | (~v221(constB111))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33443, 33442])).
% 74.27/47.11 tff(33445,plain,
% 74.27/47.11 (~v221(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33444, 21170, 33412])).
% 74.27/47.11 tff(33446,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB111) | v231(constB111) | (~v243(constB111)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB111) | v231(constB111) | (~v243(constB111)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33447,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB111) | v231(constB111) | (~v243(constB111)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33448,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB111) | v231(constB111) | (~v243(constB111))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33447, 33446])).
% 74.27/47.11 tff(33449,plain,
% 74.27/47.11 (v231(constB111) | (~v243(constB111))),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33448, 6542, 33445])).
% 74.27/47.11 tff(33450,plain,
% 74.27/47.11 (~v243(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33449, 33441])).
% 74.27/47.11 tff(33451,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB111) | v255(constB111))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB111) | v255(constB111))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33452,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB111) | v255(constB111))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33453,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB111) | v255(constB111)),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33452, 33451])).
% 74.27/47.11 tff(33454,plain,
% 74.27/47.11 (v255(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33453, 6553, 33450])).
% 74.27/47.11 tff(33455,plain,
% 74.27/47.11 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB111)) | (~v216(constB111, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB111)) | (~v216(constB111, bitIndex2)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33456,plain,
% 74.27/47.11 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB111)) | (~v216(constB111, bitIndex2)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33457,plain,
% 74.27/47.11 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB111)) | (~v216(constB111, bitIndex2))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33456, 33455])).
% 74.27/47.11 tff(33458,plain,
% 74.27/47.11 (~v216(constB111, bitIndex2)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33457, 6564, 33454])).
% 74.27/47.11 tff(33459,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB111, bitIndex2) | (~v215(constB111)) | v254(constB111))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB111, bitIndex2) | (~v215(constB111)) | v254(constB111))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33460,plain,
% 74.27/47.11 ((v216(constB111, bitIndex2) | v254(constB111) | (~v215(constB111))) <=> (v216(constB111, bitIndex2) | (~v215(constB111)) | v254(constB111))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33461,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB111, bitIndex2) | v254(constB111) | (~v215(constB111)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB111, bitIndex2) | (~v215(constB111)) | v254(constB111)))),
% 74.27/47.11 inference(monotonicity,[status(thm)],[33460])).
% 74.27/47.11 tff(33462,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB111, bitIndex2) | v254(constB111) | (~v215(constB111)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB111, bitIndex2) | (~v215(constB111)) | v254(constB111))),
% 74.27/47.11 inference(transitivity,[status(thm)],[33461, 33459])).
% 74.27/47.11 tff(33463,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB111, bitIndex2) | v254(constB111) | (~v215(constB111)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33464,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB111, bitIndex2) | (~v215(constB111)) | v254(constB111)),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33463, 33462])).
% 74.27/47.11 tff(33465,plain,
% 74.27/47.11 ((~v215(constB111)) | v254(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33464, 6578, 33458])).
% 74.27/47.11 tff(33466,plain,
% 74.27/47.11 (~v215(constB111)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33465, 33437])).
% 74.27/47.11 tff(33467,plain,
% 74.27/47.11 ($false),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33466, 33298])).
% 74.27/47.11 tff(33468,plain,(~(constB111 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.27/47.11 tff(33469,assumption,(constB199 = sK0_VarCurr), introduced(assumption)).
% 74.27/47.11 tff(33470,plain,
% 74.27/47.11 (v215(constB199) <=> v215(sK0_VarCurr)),
% 74.27/47.11 inference(monotonicity,[status(thm)],[33469])).
% 74.27/47.11 tff(33471,plain,
% 74.27/47.11 (v215(sK0_VarCurr) <=> v215(constB199)),
% 74.27/47.11 inference(symmetry,[status(thm)],[33470])).
% 74.27/47.11 tff(33472,plain,
% 74.27/47.11 (v215(constB199)),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[28, 33471])).
% 74.27/47.11 tff(33473,plain,
% 74.27/47.11 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB195, bitIndex0)) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | v120(constB195))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB195, bitIndex0)) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | v120(constB195))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33474,plain,
% 74.27/47.11 (((~v90(constB195, bitIndex0)) | v120(constB195) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2)) <=> ((~v90(constB195, bitIndex0)) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | v120(constB195))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33475,plain,
% 74.27/47.11 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB195, bitIndex0)) | v120(constB195) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB195, bitIndex0)) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | v120(constB195)))),
% 74.27/47.11 inference(monotonicity,[status(thm)],[33474])).
% 74.27/47.11 tff(33476,plain,
% 74.27/47.11 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB195, bitIndex0)) | v120(constB195) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB195, bitIndex0)) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | v120(constB195))),
% 74.27/47.11 inference(transitivity,[status(thm)],[33475, 33473])).
% 74.27/47.11 tff(33477,plain,
% 74.27/47.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB195, bitIndex0)) | v120(constB195) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33478,plain,
% 74.27/47.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB195, bitIndex0)) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | v120(constB195)),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33477, 33476])).
% 74.27/47.11 tff(33479,plain,
% 74.27/47.11 (v120(constB195)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33478, 631, 27492, 27454, 27413])).
% 74.27/47.11 tff(33480,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB195) | (~v120(constB195)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB195) | (~v120(constB195)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33481,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB195) | (~v120(constB195)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33482,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB195) | (~v120(constB195))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33481, 33480])).
% 74.27/47.11 tff(33483,plain,
% 74.27/47.11 (v118(constB195)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33482, 646, 33479])).
% 74.27/47.11 tff(33484,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB195) | (~v118(constB195)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB195) | (~v118(constB195)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33485,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB195) | (~v118(constB195)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33486,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB195) | (~v118(constB195))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33485, 33484])).
% 74.27/47.11 tff(33487,plain,
% 74.27/47.11 (v117(constB195)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33486, 243, 33483])).
% 74.27/47.11 tff(33488,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB195) | (~v117(constB195)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB195) | (~v117(constB195)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33489,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB195) | (~v117(constB195)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33490,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB195) | (~v117(constB195))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33489, 33488])).
% 74.27/47.11 tff(33491,plain,
% 74.27/47.11 (v116(constB195)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33490, 254, 33487])).
% 74.27/47.11 tff(33492,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB195) | (~v116(constB195)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB195) | (~v116(constB195)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33493,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB195) | (~v116(constB195)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33494,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB195) | (~v116(constB195))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33493, 33492])).
% 74.27/47.11 tff(33495,plain,
% 74.27/47.11 (v115(constB195)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33494, 265, 33491])).
% 74.27/47.11 tff(33496,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB195) | (~v115(constB195)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB195) | (~v115(constB195)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33497,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB195) | (~v115(constB195)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33498,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB195) | (~v115(constB195))),
% 74.27/47.11 inference(modus_ponens,[status(thm)],[33497, 33496])).
% 74.27/47.11 tff(33499,plain,
% 74.27/47.11 (v114(constB195)),
% 74.27/47.11 inference(unit_resolution,[status(thm)],[33498, 276, 33495])).
% 74.27/47.11 tff(33500,plain,
% 74.27/47.11 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB195) | (~v114(constB195)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB195) | (~v114(constB195)))),
% 74.27/47.11 inference(rewrite,[status(thm)],[])).
% 74.27/47.11 tff(33501,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB195) | (~v114(constB195)))),
% 74.27/47.11 inference(quant_inst,[status(thm)],[])).
% 74.27/47.11 tff(33502,plain,
% 74.27/47.11 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB195) | (~v114(constB195))),
% 74.27/47.12 inference(modus_ponens,[status(thm)],[33501, 33500])).
% 74.27/47.12 tff(33503,plain,
% 74.27/47.12 (v113(constB195)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33502, 287, 33499])).
% 74.27/47.12 tff(33504,assumption,(v26(constB195)), introduced(assumption)).
% 74.27/47.12 tff(33505,plain,
% 74.27/47.12 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB195))),
% 74.27/47.12 inference(quant_inst,[status(thm)],[])).
% 74.27/47.12 tff(33506,plain,
% 74.27/47.12 ($false),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33505, 37, 33504])).
% 74.27/47.12 tff(33507,plain,(~v26(constB195)), inference(lemma,lemma(discharge,[]))).
% 74.27/47.12 tff(33508,plain,
% 74.27/47.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB195) | v112(constB195) | (~v113(constB195)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB195) | v112(constB195) | (~v113(constB195)))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33509,plain,
% 74.27/47.12 ((v26(constB195) | (~v113(constB195)) | v112(constB195)) <=> (v26(constB195) | v112(constB195) | (~v113(constB195)))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33510,plain,
% 74.27/47.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB195) | (~v113(constB195)) | v112(constB195))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB195) | v112(constB195) | (~v113(constB195))))),
% 74.27/47.12 inference(monotonicity,[status(thm)],[33509])).
% 74.27/47.12 tff(33511,plain,
% 74.27/47.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB195) | (~v113(constB195)) | v112(constB195))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB195) | v112(constB195) | (~v113(constB195)))),
% 74.27/47.12 inference(transitivity,[status(thm)],[33510, 33508])).
% 74.27/47.12 tff(33512,plain,
% 74.27/47.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB195) | (~v113(constB195)) | v112(constB195))),
% 74.27/47.12 inference(quant_inst,[status(thm)],[])).
% 74.27/47.12 tff(33513,plain,
% 74.27/47.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB195) | v112(constB195) | (~v113(constB195))),
% 74.27/47.12 inference(modus_ponens,[status(thm)],[33512, 33511])).
% 74.27/47.12 tff(33514,plain,
% 74.27/47.12 (v112(constB195) | (~v113(constB195))),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33513, 301, 33507])).
% 74.27/47.12 tff(33515,plain,
% 74.27/47.12 (v112(constB195)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33514, 33503])).
% 74.27/47.12 tff(33516,plain,
% 74.27/47.12 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB195) | (~v112(constB195)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB195) | (~v112(constB195)))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33517,plain,
% 74.27/47.12 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB195) | (~v112(constB195)))),
% 74.27/47.12 inference(quant_inst,[status(thm)],[])).
% 74.27/47.12 tff(33518,plain,
% 74.27/47.12 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB195) | (~v112(constB195))),
% 74.27/47.12 inference(modus_ponens,[status(thm)],[33517, 33516])).
% 74.27/47.12 tff(33519,plain,
% 74.27/47.12 (v108(constB195)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33518, 210, 33515])).
% 74.27/47.12 tff(33520,plain,
% 74.27/47.12 (nextState(constB195, constB196) <=> nextState(constB195, constB196)),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33521,axiom,(nextState(constB195, constB196)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_195_1')).
% 74.27/47.12 tff(33522,plain,
% 74.27/47.12 (nextState(constB195, constB196)),
% 74.27/47.12 inference(modus_ponens,[status(thm)],[33521, 33520])).
% 74.27/47.12 tff(33523,plain,
% 74.27/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195)))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33524,plain,
% 74.27/47.12 (((~nextState(constB195, constB196)) | (~v108(constB195)) | v110(constB196)) <=> ((~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195)))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33525,plain,
% 74.27/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB195, constB196)) | (~v108(constB195)) | v110(constB196))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195))))),
% 74.27/47.12 inference(monotonicity,[status(thm)],[33524])).
% 74.27/47.12 tff(33526,plain,
% 74.27/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB195, constB196)) | (~v108(constB195)) | v110(constB196))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195)))),
% 74.27/47.12 inference(transitivity,[status(thm)],[33525, 33523])).
% 74.27/47.12 tff(33527,plain,
% 74.27/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB195, constB196)) | (~v108(constB195)) | v110(constB196))),
% 74.27/47.12 inference(quant_inst,[status(thm)],[])).
% 74.27/47.12 tff(33528,plain,
% 74.27/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195))),
% 74.27/47.12 inference(modus_ponens,[status(thm)],[33527, 33526])).
% 74.27/47.12 tff(33529,plain,
% 74.27/47.12 (v110(constB196) | (~v108(constB195))),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33528, 317, 33522])).
% 74.27/47.12 tff(33530,plain,
% 74.27/47.12 (v110(constB196)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33529, 33519])).
% 74.27/47.12 tff(33531,plain,
% 74.27/47.12 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB195) | (~nextState(constB195, constB196)) | (~v104(constB196)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB195) | (~nextState(constB195, constB196)) | (~v104(constB196)))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33532,plain,
% 74.27/47.12 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB195) | (~nextState(constB195, constB196)) | (~v104(constB196)))),
% 74.27/47.12 inference(quant_inst,[status(thm)],[])).
% 74.27/47.12 tff(33533,plain,
% 74.27/47.12 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB195) | (~nextState(constB195, constB196)) | (~v104(constB196))),
% 74.27/47.12 inference(modus_ponens,[status(thm)],[33532, 33531])).
% 74.27/47.12 tff(33534,plain,
% 74.27/47.12 (~v104(constB196)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33533, 335, 33522, 27389])).
% 74.27/47.12 tff(33535,plain,
% 74.27/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB195, constB196)) | v102(constB196) | v104(constB196))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB195, constB196)) | v102(constB196) | v104(constB196))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33536,plain,
% 74.27/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB195, constB196)) | v102(constB196) | v104(constB196))),
% 74.27/47.12 inference(quant_inst,[status(thm)],[])).
% 74.27/47.12 tff(33537,plain,
% 74.27/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB195, constB196)) | v102(constB196) | v104(constB196)),
% 74.27/47.12 inference(modus_ponens,[status(thm)],[33536, 33535])).
% 74.27/47.12 tff(33538,plain,
% 74.27/47.12 (v102(constB196) | v104(constB196)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33537, 349, 33522])).
% 74.27/47.12 tff(33539,plain,
% 74.27/47.12 (v102(constB196)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33538, 33534])).
% 74.27/47.12 tff(33540,plain,
% 74.27/47.12 (v1(constB196) <=> v1(constB196)),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33541,axiom,(v1(constB196)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_196_1')).
% 74.27/47.12 tff(33542,plain,
% 74.27/47.12 (v1(constB196)),
% 74.27/47.12 inference(modus_ponens,[status(thm)],[33541, 33540])).
% 74.27/47.12 tff(33543,plain,
% 74.27/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB195, constB196)) | v101(constB196) | (~v102(constB196)) | (~v1(constB196)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB195, constB196)) | v101(constB196) | (~v102(constB196)) | (~v1(constB196)))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33544,plain,
% 74.27/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB195, constB196)) | v101(constB196) | (~v102(constB196)) | (~v1(constB196)))),
% 74.27/47.12 inference(quant_inst,[status(thm)],[])).
% 74.27/47.12 tff(33545,plain,
% 74.27/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB195, constB196)) | v101(constB196) | (~v102(constB196)) | (~v1(constB196))),
% 74.27/47.12 inference(modus_ponens,[status(thm)],[33544, 33543])).
% 74.27/47.12 tff(33546,plain,
% 74.27/47.12 (v101(constB196) | (~v102(constB196))),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33545, 367, 33522, 33542])).
% 74.27/47.12 tff(33547,plain,
% 74.27/47.12 (v101(constB196)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33546, 33539])).
% 74.27/47.12 tff(33548,plain,
% 74.27/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196)))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33549,plain,
% 74.27/47.12 (((~nextState(constB195, constB196)) | (~v101(constB196)) | (~v110(constB196)) | v100(constB196)) <=> ((~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196)))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33550,plain,
% 74.27/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB195, constB196)) | (~v101(constB196)) | (~v110(constB196)) | v100(constB196))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196))))),
% 74.27/47.12 inference(monotonicity,[status(thm)],[33549])).
% 74.27/47.12 tff(33551,plain,
% 74.27/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB195, constB196)) | (~v101(constB196)) | (~v110(constB196)) | v100(constB196))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196)))),
% 74.27/47.12 inference(transitivity,[status(thm)],[33550, 33548])).
% 74.27/47.12 tff(33552,plain,
% 74.27/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB195, constB196)) | (~v101(constB196)) | (~v110(constB196)) | v100(constB196))),
% 74.27/47.12 inference(quant_inst,[status(thm)],[])).
% 74.27/47.12 tff(33553,plain,
% 74.27/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196))),
% 74.27/47.12 inference(modus_ponens,[status(thm)],[33552, 33551])).
% 74.27/47.12 tff(33554,plain,
% 74.27/47.12 (v100(constB196) | (~v101(constB196)) | (~v110(constB196))),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33553, 382, 33522])).
% 74.27/47.12 tff(33555,plain,
% 74.27/47.12 (v100(constB196) | (~v110(constB196))),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33554, 33547])).
% 74.27/47.12 tff(33556,plain,
% 74.27/47.12 (v100(constB196)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33555, 33530])).
% 74.27/47.12 tff(33557,plain,
% 74.27/47.12 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB195)) | (~v130(constB195, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB195)) | (~v130(constB195, bitIndex2)))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33558,plain,
% 74.27/47.12 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB195)) | (~v130(constB195, bitIndex2)))),
% 74.27/47.12 inference(quant_inst,[status(thm)],[])).
% 74.27/47.12 tff(33559,plain,
% 74.27/47.12 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB195)) | (~v130(constB195, bitIndex2))),
% 74.27/47.12 inference(modus_ponens,[status(thm)],[33558, 33557])).
% 74.27/47.12 tff(33560,plain,
% 74.27/47.12 (~v130(constB195, bitIndex2)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33559, 730, 33479])).
% 74.27/47.12 tff(33561,plain,
% 74.27/47.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB195, bitIndex2)) | v26(constB195) | v130(constB195, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB195, bitIndex2)) | v26(constB195) | v130(constB195, bitIndex2))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33562,plain,
% 74.27/47.12 ((v26(constB195) | v130(constB195, bitIndex2) | (~v127(constB195, bitIndex2))) <=> ((~v127(constB195, bitIndex2)) | v26(constB195) | v130(constB195, bitIndex2))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33563,plain,
% 74.27/47.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB195) | v130(constB195, bitIndex2) | (~v127(constB195, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB195, bitIndex2)) | v26(constB195) | v130(constB195, bitIndex2)))),
% 74.27/47.12 inference(monotonicity,[status(thm)],[33562])).
% 74.27/47.12 tff(33564,plain,
% 74.27/47.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB195) | v130(constB195, bitIndex2) | (~v127(constB195, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB195, bitIndex2)) | v26(constB195) | v130(constB195, bitIndex2))),
% 74.27/47.12 inference(transitivity,[status(thm)],[33563, 33561])).
% 74.27/47.12 tff(33565,plain,
% 74.27/47.12 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB195) | v130(constB195, bitIndex2) | (~v127(constB195, bitIndex2)))),
% 74.27/47.12 inference(quant_inst,[status(thm)],[])).
% 74.27/47.12 tff(33566,plain,
% 74.27/47.12 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB195, bitIndex2)) | v26(constB195) | v130(constB195, bitIndex2)),
% 74.27/47.12 inference(modus_ponens,[status(thm)],[33565, 33564])).
% 74.27/47.12 tff(33567,plain,
% 74.27/47.12 ((~v127(constB195, bitIndex2)) | v130(constB195, bitIndex2)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33566, 470, 33507])).
% 74.27/47.12 tff(33568,plain,
% 74.27/47.12 (~v127(constB195, bitIndex2)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33567, 33560])).
% 74.27/47.12 tff(33569,plain,
% 74.27/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB195, constB196)) | v127(constB195, bitIndex2) | (~v129(constB196, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB195, constB196)) | v127(constB195, bitIndex2) | (~v129(constB196, bitIndex2)))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33570,plain,
% 74.27/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB195, constB196)) | v127(constB195, bitIndex2) | (~v129(constB196, bitIndex2)))),
% 74.27/47.12 inference(quant_inst,[status(thm)],[])).
% 74.27/47.12 tff(33571,plain,
% 74.27/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB195, constB196)) | v127(constB195, bitIndex2) | (~v129(constB196, bitIndex2))),
% 74.27/47.12 inference(modus_ponens,[status(thm)],[33570, 33569])).
% 74.27/47.12 tff(33572,plain,
% 74.27/47.12 (v127(constB195, bitIndex2) | (~v129(constB196, bitIndex2))),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33571, 488, 33522])).
% 74.27/47.12 tff(33573,plain,
% 74.27/47.12 (~v129(constB196, bitIndex2)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33572, 33568])).
% 74.27/47.12 tff(33574,plain,
% 74.27/47.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB196, bitIndex2)) | v129(constB196, bitIndex2) | (~v100(constB196)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB196, bitIndex2)) | v129(constB196, bitIndex2) | (~v100(constB196)))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33575,plain,
% 74.27/47.12 (((~v90(constB196, bitIndex2)) | (~v100(constB196)) | v129(constB196, bitIndex2)) <=> ((~v90(constB196, bitIndex2)) | v129(constB196, bitIndex2) | (~v100(constB196)))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33576,plain,
% 74.27/47.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB196, bitIndex2)) | (~v100(constB196)) | v129(constB196, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB196, bitIndex2)) | v129(constB196, bitIndex2) | (~v100(constB196))))),
% 74.27/47.12 inference(monotonicity,[status(thm)],[33575])).
% 74.27/47.12 tff(33577,plain,
% 74.27/47.12 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB196, bitIndex2)) | (~v100(constB196)) | v129(constB196, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB196, bitIndex2)) | v129(constB196, bitIndex2) | (~v100(constB196)))),
% 74.27/47.12 inference(transitivity,[status(thm)],[33576, 33574])).
% 74.27/47.12 tff(33578,plain,
% 74.27/47.12 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB196, bitIndex2)) | (~v100(constB196)) | v129(constB196, bitIndex2))),
% 74.27/47.12 inference(quant_inst,[status(thm)],[])).
% 74.27/47.12 tff(33579,plain,
% 74.27/47.12 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB196, bitIndex2)) | v129(constB196, bitIndex2) | (~v100(constB196))),
% 74.27/47.12 inference(modus_ponens,[status(thm)],[33578, 33577])).
% 74.27/47.12 tff(33580,plain,
% 74.27/47.12 ((~v90(constB196, bitIndex2)) | (~v100(constB196))),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33579, 503, 33573])).
% 74.27/47.12 tff(33581,plain,
% 74.27/47.12 (~v90(constB196, bitIndex2)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33580, 33556])).
% 74.27/47.12 tff(33582,plain,
% 74.27/47.12 ((~v1(constB197)) <=> (~v1(constB197))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33583,axiom,(~v1(constB197)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_197_1_1')).
% 74.27/47.12 tff(33584,plain,
% 74.27/47.12 (~v1(constB197)),
% 74.27/47.12 inference(modus_ponens,[status(thm)],[33583, 33582])).
% 74.27/47.12 tff(33585,plain,
% 74.27/47.12 (nextState(constB196, constB197) <=> nextState(constB196, constB197)),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33586,axiom,(nextState(constB196, constB197)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_196_1')).
% 74.27/47.12 tff(33587,plain,
% 74.27/47.12 (nextState(constB196, constB197)),
% 74.27/47.12 inference(modus_ponens,[status(thm)],[33586, 33585])).
% 74.27/47.12 tff(33588,plain,
% 74.27/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197)))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33589,plain,
% 74.27/47.12 (((~nextState(constB196, constB197)) | (~v101(constB197)) | v1(constB197)) <=> (v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197)))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33590,plain,
% 74.27/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB196, constB197)) | (~v101(constB197)) | v1(constB197))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197))))),
% 74.27/47.12 inference(monotonicity,[status(thm)],[33589])).
% 74.27/47.12 tff(33591,plain,
% 74.27/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB196, constB197)) | (~v101(constB197)) | v1(constB197))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197)))),
% 74.27/47.12 inference(transitivity,[status(thm)],[33590, 33588])).
% 74.27/47.12 tff(33592,plain,
% 74.27/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB196, constB197)) | (~v101(constB197)) | v1(constB197))),
% 74.27/47.12 inference(quant_inst,[status(thm)],[])).
% 74.27/47.12 tff(33593,plain,
% 74.27/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197))),
% 74.27/47.12 inference(modus_ponens,[status(thm)],[33592, 33591])).
% 74.27/47.12 tff(33594,plain,
% 74.27/47.12 (~v101(constB197)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33593, 56, 33587, 33584])).
% 74.27/47.12 tff(33595,plain,
% 74.27/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB196, constB197)) | v101(constB197) | (~v100(constB197)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB196, constB197)) | v101(constB197) | (~v100(constB197)))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33596,plain,
% 74.27/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB196, constB197)) | v101(constB197) | (~v100(constB197)))),
% 74.27/47.12 inference(quant_inst,[status(thm)],[])).
% 74.27/47.12 tff(33597,plain,
% 74.27/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB196, constB197)) | v101(constB197) | (~v100(constB197))),
% 74.27/47.12 inference(modus_ponens,[status(thm)],[33596, 33595])).
% 74.27/47.12 tff(33598,plain,
% 74.27/47.12 (v101(constB197) | (~v100(constB197))),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33597, 73, 33587])).
% 74.27/47.12 tff(33599,plain,
% 74.27/47.12 (~v100(constB197)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33598, 33594])).
% 74.27/47.12 tff(33600,plain,
% 74.27/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB196, bitIndex2) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB196, bitIndex2) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex2)))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33601,plain,
% 74.27/47.12 (((~nextState(constB196, constB197)) | v90(constB196, bitIndex2) | v100(constB197) | (~v90(constB197, bitIndex2))) <=> (v90(constB196, bitIndex2) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex2)))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33602,plain,
% 74.27/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB196, constB197)) | v90(constB196, bitIndex2) | v100(constB197) | (~v90(constB197, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB196, bitIndex2) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex2))))),
% 74.27/47.12 inference(monotonicity,[status(thm)],[33601])).
% 74.27/47.12 tff(33603,plain,
% 74.27/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB196, constB197)) | v90(constB196, bitIndex2) | v100(constB197) | (~v90(constB197, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB196, bitIndex2) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex2)))),
% 74.27/47.12 inference(transitivity,[status(thm)],[33602, 33600])).
% 74.27/47.12 tff(33604,plain,
% 74.27/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB196, constB197)) | v90(constB196, bitIndex2) | v100(constB197) | (~v90(constB197, bitIndex2)))),
% 74.27/47.12 inference(quant_inst,[status(thm)],[])).
% 74.27/47.12 tff(33605,plain,
% 74.27/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB196, bitIndex2) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex2))),
% 74.27/47.12 inference(modus_ponens,[status(thm)],[33604, 33603])).
% 74.27/47.12 tff(33606,plain,
% 74.27/47.12 (v90(constB196, bitIndex2) | v100(constB197) | (~v90(constB197, bitIndex2))),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33605, 88, 33587])).
% 74.27/47.12 tff(33607,plain,
% 74.27/47.12 (v90(constB196, bitIndex2) | (~v90(constB197, bitIndex2))),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33606, 33599])).
% 74.27/47.12 tff(33608,plain,
% 74.27/47.12 (~v90(constB197, bitIndex2)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33607, 33581])).
% 74.27/47.12 tff(33609,plain,
% 74.27/47.12 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB195)) | v130(constB195, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB195)) | v130(constB195, bitIndex1))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33610,plain,
% 74.27/47.12 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB195)) | v130(constB195, bitIndex1))),
% 74.27/47.12 inference(quant_inst,[status(thm)],[])).
% 74.27/47.12 tff(33611,plain,
% 74.27/47.12 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB195)) | v130(constB195, bitIndex1)),
% 74.27/47.12 inference(modus_ponens,[status(thm)],[33610, 33609])).
% 74.27/47.12 tff(33612,plain,
% 74.27/47.12 (v130(constB195, bitIndex1)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33611, 810, 33479])).
% 74.27/47.12 tff(33613,plain,
% 74.27/47.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB195) | (~v130(constB195, bitIndex1)) | v127(constB195, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB195) | (~v130(constB195, bitIndex1)) | v127(constB195, bitIndex1))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33614,plain,
% 74.27/47.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB195) | (~v130(constB195, bitIndex1)) | v127(constB195, bitIndex1))),
% 74.27/47.12 inference(quant_inst,[status(thm)],[])).
% 74.27/47.12 tff(33615,plain,
% 74.27/47.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB195) | (~v130(constB195, bitIndex1)) | v127(constB195, bitIndex1)),
% 74.27/47.12 inference(modus_ponens,[status(thm)],[33614, 33613])).
% 74.27/47.12 tff(33616,plain,
% 74.27/47.12 ((~v130(constB195, bitIndex1)) | v127(constB195, bitIndex1)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33615, 824, 33507])).
% 74.27/47.12 tff(33617,plain,
% 74.27/47.12 (v127(constB195, bitIndex1)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33616, 33612])).
% 74.27/47.12 tff(33618,plain,
% 74.27/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB195, constB196)) | (~v127(constB195, bitIndex1)) | v129(constB196, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB195, constB196)) | (~v127(constB195, bitIndex1)) | v129(constB196, bitIndex1))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33619,plain,
% 74.27/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB195, constB196)) | (~v127(constB195, bitIndex1)) | v129(constB196, bitIndex1))),
% 74.27/47.12 inference(quant_inst,[status(thm)],[])).
% 74.27/47.12 tff(33620,plain,
% 74.27/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB195, constB196)) | (~v127(constB195, bitIndex1)) | v129(constB196, bitIndex1)),
% 74.27/47.12 inference(modus_ponens,[status(thm)],[33619, 33618])).
% 74.27/47.12 tff(33621,plain,
% 74.27/47.12 ((~v127(constB195, bitIndex1)) | v129(constB196, bitIndex1)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33620, 839, 33522])).
% 74.27/47.12 tff(33622,plain,
% 74.27/47.12 (v129(constB196, bitIndex1)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33621, 33617])).
% 74.27/47.12 tff(33623,plain,
% 74.27/47.12 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB196, bitIndex1) | (~v129(constB196, bitIndex1)) | (~v100(constB196)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB196, bitIndex1) | (~v129(constB196, bitIndex1)) | (~v100(constB196)))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33624,plain,
% 74.27/47.12 ((v90(constB196, bitIndex1) | (~v100(constB196)) | (~v129(constB196, bitIndex1))) <=> (v90(constB196, bitIndex1) | (~v129(constB196, bitIndex1)) | (~v100(constB196)))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33625,plain,
% 74.27/47.12 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB196, bitIndex1) | (~v100(constB196)) | (~v129(constB196, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB196, bitIndex1) | (~v129(constB196, bitIndex1)) | (~v100(constB196))))),
% 74.27/47.12 inference(monotonicity,[status(thm)],[33624])).
% 74.27/47.12 tff(33626,plain,
% 74.27/47.12 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB196, bitIndex1) | (~v100(constB196)) | (~v129(constB196, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB196, bitIndex1) | (~v129(constB196, bitIndex1)) | (~v100(constB196)))),
% 74.27/47.12 inference(transitivity,[status(thm)],[33625, 33623])).
% 74.27/47.12 tff(33627,plain,
% 74.27/47.12 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB196, bitIndex1) | (~v100(constB196)) | (~v129(constB196, bitIndex1)))),
% 74.27/47.12 inference(quant_inst,[status(thm)],[])).
% 74.27/47.12 tff(33628,plain,
% 74.27/47.12 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB196, bitIndex1) | (~v129(constB196, bitIndex1)) | (~v100(constB196))),
% 74.27/47.12 inference(modus_ponens,[status(thm)],[33627, 33626])).
% 74.27/47.12 tff(33629,plain,
% 74.27/47.12 (v90(constB196, bitIndex1) | (~v100(constB196))),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33628, 854, 33622])).
% 74.27/47.12 tff(33630,plain,
% 74.27/47.12 (v90(constB196, bitIndex1)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33629, 33556])).
% 74.27/47.12 tff(33631,plain,
% 74.27/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB196, bitIndex1)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB196, bitIndex1)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, bitIndex1))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33632,plain,
% 74.27/47.12 (((~nextState(constB196, constB197)) | (~v90(constB196, bitIndex1)) | v100(constB197) | v90(constB197, bitIndex1)) <=> ((~v90(constB196, bitIndex1)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, bitIndex1))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33633,plain,
% 74.27/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB196, constB197)) | (~v90(constB196, bitIndex1)) | v100(constB197) | v90(constB197, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB196, bitIndex1)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, bitIndex1)))),
% 74.27/47.12 inference(monotonicity,[status(thm)],[33632])).
% 74.27/47.12 tff(33634,plain,
% 74.27/47.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB196, constB197)) | (~v90(constB196, bitIndex1)) | v100(constB197) | v90(constB197, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB196, bitIndex1)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, bitIndex1))),
% 74.27/47.12 inference(transitivity,[status(thm)],[33633, 33631])).
% 74.27/47.12 tff(33635,plain,
% 74.27/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB196, constB197)) | (~v90(constB196, bitIndex1)) | v100(constB197) | v90(constB197, bitIndex1))),
% 74.27/47.12 inference(quant_inst,[status(thm)],[])).
% 74.27/47.12 tff(33636,plain,
% 74.27/47.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB196, bitIndex1)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, bitIndex1)),
% 74.27/47.12 inference(modus_ponens,[status(thm)],[33635, 33634])).
% 74.27/47.12 tff(33637,plain,
% 74.27/47.12 ((~v90(constB196, bitIndex1)) | v100(constB197) | v90(constB197, bitIndex1)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33636, 872, 33587])).
% 74.27/47.12 tff(33638,plain,
% 74.27/47.12 ((~v90(constB196, bitIndex1)) | v90(constB197, bitIndex1)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33637, 33599])).
% 74.27/47.12 tff(33639,plain,
% 74.27/47.12 (v90(constB197, bitIndex1)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33638, 33630])).
% 74.27/47.12 tff(33640,plain,
% 74.27/47.12 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB195)) | (~v130(constB195, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB195)) | (~v130(constB195, bitIndex0)))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33641,plain,
% 74.27/47.12 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB195)) | (~v130(constB195, bitIndex0)))),
% 74.27/47.12 inference(quant_inst,[status(thm)],[])).
% 74.27/47.12 tff(33642,plain,
% 74.27/47.12 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB195)) | (~v130(constB195, bitIndex0))),
% 74.27/47.12 inference(modus_ponens,[status(thm)],[33641, 33640])).
% 74.27/47.12 tff(33643,plain,
% 74.27/47.12 (~v130(constB195, bitIndex0)),
% 74.27/47.12 inference(unit_resolution,[status(thm)],[33642, 891, 33479])).
% 74.27/47.12 tff(33644,plain,
% 74.27/47.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB195, bitIndex0)) | v26(constB195) | v130(constB195, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB195, bitIndex0)) | v26(constB195) | v130(constB195, bitIndex0))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33645,plain,
% 74.27/47.12 ((v26(constB195) | v130(constB195, bitIndex0) | (~v127(constB195, bitIndex0))) <=> ((~v127(constB195, bitIndex0)) | v26(constB195) | v130(constB195, bitIndex0))),
% 74.27/47.12 inference(rewrite,[status(thm)],[])).
% 74.27/47.12 tff(33646,plain,
% 74.27/47.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB195) | v130(constB195, bitIndex0) | (~v127(constB195, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB195, bitIndex0)) | v26(constB195) | v130(constB195, bitIndex0)))),
% 74.27/47.13 inference(monotonicity,[status(thm)],[33645])).
% 74.27/47.13 tff(33647,plain,
% 74.27/47.13 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB195) | v130(constB195, bitIndex0) | (~v127(constB195, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB195, bitIndex0)) | v26(constB195) | v130(constB195, bitIndex0))),
% 74.27/47.13 inference(transitivity,[status(thm)],[33646, 33644])).
% 74.27/47.13 tff(33648,plain,
% 74.27/47.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB195) | v130(constB195, bitIndex0) | (~v127(constB195, bitIndex0)))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33649,plain,
% 74.27/47.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB195, bitIndex0)) | v26(constB195) | v130(constB195, bitIndex0)),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33648, 33647])).
% 74.27/47.13 tff(33650,plain,
% 74.27/47.13 ((~v127(constB195, bitIndex0)) | v130(constB195, bitIndex0)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33649, 905, 33507])).
% 74.27/47.13 tff(33651,plain,
% 74.27/47.13 (~v127(constB195, bitIndex0)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33650, 33643])).
% 74.27/47.13 tff(33652,plain,
% 74.27/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB195, constB196)) | v127(constB195, bitIndex0) | (~v129(constB196, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB195, constB196)) | v127(constB195, bitIndex0) | (~v129(constB196, bitIndex0)))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33653,plain,
% 74.27/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB195, constB196)) | v127(constB195, bitIndex0) | (~v129(constB196, bitIndex0)))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33654,plain,
% 74.27/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB195, constB196)) | v127(constB195, bitIndex0) | (~v129(constB196, bitIndex0))),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33653, 33652])).
% 74.27/47.13 tff(33655,plain,
% 74.27/47.13 (v127(constB195, bitIndex0) | (~v129(constB196, bitIndex0))),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33654, 923, 33522])).
% 74.27/47.13 tff(33656,plain,
% 74.27/47.13 (~v129(constB196, bitIndex0)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33655, 33651])).
% 74.27/47.13 tff(33657,plain,
% 74.27/47.13 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB196, bitIndex0)) | v129(constB196, bitIndex0) | (~v100(constB196)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB196, bitIndex0)) | v129(constB196, bitIndex0) | (~v100(constB196)))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33658,plain,
% 74.27/47.13 (((~v90(constB196, bitIndex0)) | (~v100(constB196)) | v129(constB196, bitIndex0)) <=> ((~v90(constB196, bitIndex0)) | v129(constB196, bitIndex0) | (~v100(constB196)))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33659,plain,
% 74.27/47.13 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB196, bitIndex0)) | (~v100(constB196)) | v129(constB196, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB196, bitIndex0)) | v129(constB196, bitIndex0) | (~v100(constB196))))),
% 74.27/47.13 inference(monotonicity,[status(thm)],[33658])).
% 74.27/47.13 tff(33660,plain,
% 74.27/47.13 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB196, bitIndex0)) | (~v100(constB196)) | v129(constB196, bitIndex0))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB196, bitIndex0)) | v129(constB196, bitIndex0) | (~v100(constB196)))),
% 74.27/47.13 inference(transitivity,[status(thm)],[33659, 33657])).
% 74.27/47.13 tff(33661,plain,
% 74.27/47.13 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB196, bitIndex0)) | (~v100(constB196)) | v129(constB196, bitIndex0))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33662,plain,
% 74.27/47.13 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB196, bitIndex0)) | v129(constB196, bitIndex0) | (~v100(constB196))),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33661, 33660])).
% 74.27/47.13 tff(33663,plain,
% 74.27/47.13 ((~v90(constB196, bitIndex0)) | (~v100(constB196))),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33662, 938, 33656])).
% 74.27/47.13 tff(33664,plain,
% 74.27/47.13 (~v90(constB196, bitIndex0)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33663, 33556])).
% 74.27/47.13 tff(33665,plain,
% 74.27/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB196, bitIndex0) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB196, bitIndex0) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex0)))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33666,plain,
% 74.27/47.13 (((~nextState(constB196, constB197)) | v90(constB196, bitIndex0) | v100(constB197) | (~v90(constB197, bitIndex0))) <=> (v90(constB196, bitIndex0) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex0)))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33667,plain,
% 74.27/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB196, constB197)) | v90(constB196, bitIndex0) | v100(constB197) | (~v90(constB197, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB196, bitIndex0) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex0))))),
% 74.27/47.13 inference(monotonicity,[status(thm)],[33666])).
% 74.27/47.13 tff(33668,plain,
% 74.27/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB196, constB197)) | v90(constB196, bitIndex0) | v100(constB197) | (~v90(constB197, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB196, bitIndex0) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex0)))),
% 74.27/47.13 inference(transitivity,[status(thm)],[33667, 33665])).
% 74.27/47.13 tff(33669,plain,
% 74.27/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB196, constB197)) | v90(constB196, bitIndex0) | v100(constB197) | (~v90(constB197, bitIndex0)))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33670,plain,
% 74.27/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB196, bitIndex0) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex0))),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33669, 33668])).
% 74.27/47.13 tff(33671,plain,
% 74.27/47.13 (v90(constB196, bitIndex0) | v100(constB197) | (~v90(constB197, bitIndex0))),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33670, 130, 33587])).
% 74.27/47.13 tff(33672,plain,
% 74.27/47.13 (v90(constB196, bitIndex0) | (~v90(constB197, bitIndex0))),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33671, 33599])).
% 74.27/47.13 tff(33673,plain,
% 74.27/47.13 (~v90(constB197, bitIndex0)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33672, 33664])).
% 74.27/47.13 tff(33674,plain,
% 74.27/47.13 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB197, bitIndex0) | (~v90(constB197, bitIndex1)) | v90(constB197, bitIndex2) | v121(constB197))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB197, bitIndex0) | (~v90(constB197, bitIndex1)) | v90(constB197, bitIndex2) | v121(constB197))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33675,plain,
% 74.27/47.13 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB197, bitIndex0) | (~v90(constB197, bitIndex1)) | v90(constB197, bitIndex2) | v121(constB197))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33676,plain,
% 74.27/47.13 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB197, bitIndex0) | (~v90(constB197, bitIndex1)) | v90(constB197, bitIndex2) | v121(constB197)),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33675, 33674])).
% 74.27/47.13 tff(33677,plain,
% 74.27/47.13 (v121(constB197)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33676, 965, 33673, 33639, 33608])).
% 74.27/47.13 tff(33678,assumption,(v121(constB197)), introduced(assumption)).
% 74.27/47.13 tff(33679,plain,
% 74.27/47.13 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB197) | (~v121(constB197)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB197) | (~v121(constB197)))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33680,plain,
% 74.27/47.13 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB197) | (~v121(constB197)))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33681,plain,
% 74.27/47.13 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB197) | (~v121(constB197))),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33680, 33679])).
% 74.27/47.13 tff(33682,plain,
% 74.27/47.13 (v117(constB197)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33681, 976, 33678])).
% 74.27/47.13 tff(33683,plain,
% 74.27/47.13 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB197) | (~v117(constB197)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB197) | (~v117(constB197)))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33684,plain,
% 74.27/47.13 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB197) | (~v117(constB197)))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33685,plain,
% 74.27/47.13 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB197) | (~v117(constB197))),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33684, 33683])).
% 74.27/47.13 tff(33686,plain,
% 74.27/47.13 (v116(constB197)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33685, 254, 33682])).
% 74.27/47.13 tff(33687,plain,
% 74.27/47.13 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB197) | (~v116(constB197)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB197) | (~v116(constB197)))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33688,plain,
% 74.27/47.13 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB197) | (~v116(constB197)))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33689,plain,
% 74.27/47.13 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB197) | (~v116(constB197))),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33688, 33687])).
% 74.27/47.13 tff(33690,plain,
% 74.27/47.13 (v115(constB197)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33689, 265, 33686])).
% 74.27/47.13 tff(33691,plain,
% 74.27/47.13 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB197) | (~v115(constB197)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB197) | (~v115(constB197)))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33692,plain,
% 74.27/47.13 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB197) | (~v115(constB197)))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33693,plain,
% 74.27/47.13 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB197) | (~v115(constB197))),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33692, 33691])).
% 74.27/47.13 tff(33694,plain,
% 74.27/47.13 (v114(constB197)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33693, 276, 33690])).
% 74.27/47.13 tff(33695,plain,
% 74.27/47.13 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB197) | (~v114(constB197)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB197) | (~v114(constB197)))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33696,plain,
% 74.27/47.13 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB197) | (~v114(constB197)))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33697,plain,
% 74.27/47.13 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB197) | (~v114(constB197))),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33696, 33695])).
% 74.27/47.13 tff(33698,plain,
% 74.27/47.13 (v113(constB197)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33697, 287, 33694])).
% 74.27/47.13 tff(33699,assumption,(v26(constB197)), introduced(assumption)).
% 74.27/47.13 tff(33700,plain,
% 74.27/47.13 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB197))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33701,plain,
% 74.27/47.13 ($false),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33700, 37, 33699])).
% 74.27/47.13 tff(33702,plain,(~v26(constB197)), inference(lemma,lemma(discharge,[]))).
% 74.27/47.13 tff(33703,plain,
% 74.27/47.13 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB197) | (~v113(constB197)) | v112(constB197))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB197) | (~v113(constB197)) | v112(constB197))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33704,plain,
% 74.27/47.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB197) | (~v113(constB197)) | v112(constB197))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33705,plain,
% 74.27/47.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB197) | (~v113(constB197)) | v112(constB197)),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33704, 33703])).
% 74.27/47.13 tff(33706,plain,
% 74.27/47.13 ((~v113(constB197)) | v112(constB197)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33705, 301, 33702])).
% 74.27/47.13 tff(33707,plain,
% 74.27/47.13 (v112(constB197)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33706, 33698])).
% 74.27/47.13 tff(33708,plain,
% 74.27/47.13 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB197) | (~v112(constB197)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB197) | (~v112(constB197)))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33709,plain,
% 74.27/47.13 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB197) | (~v112(constB197)))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33710,plain,
% 74.27/47.13 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB197) | (~v112(constB197))),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33709, 33708])).
% 74.27/47.13 tff(33711,plain,
% 74.27/47.13 (v108(constB197)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33710, 210, 33707])).
% 74.27/47.13 tff(33712,plain,
% 74.27/47.13 (nextState(constB197, constB198) <=> nextState(constB197, constB198)),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33713,axiom,(nextState(constB197, constB198)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_197_1')).
% 74.27/47.13 tff(33714,plain,
% 74.27/47.13 (nextState(constB197, constB198)),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33713, 33712])).
% 74.27/47.13 tff(33715,plain,
% 74.27/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB197, constB198)) | v110(constB198) | (~v108(constB197)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB197, constB198)) | v110(constB198) | (~v108(constB197)))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33716,plain,
% 74.27/47.13 (((~nextState(constB197, constB198)) | (~v108(constB197)) | v110(constB198)) <=> ((~nextState(constB197, constB198)) | v110(constB198) | (~v108(constB197)))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33717,plain,
% 74.27/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB197, constB198)) | (~v108(constB197)) | v110(constB198))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB197, constB198)) | v110(constB198) | (~v108(constB197))))),
% 74.27/47.13 inference(monotonicity,[status(thm)],[33716])).
% 74.27/47.13 tff(33718,plain,
% 74.27/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB197, constB198)) | (~v108(constB197)) | v110(constB198))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB197, constB198)) | v110(constB198) | (~v108(constB197)))),
% 74.27/47.13 inference(transitivity,[status(thm)],[33717, 33715])).
% 74.27/47.13 tff(33719,plain,
% 74.27/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB197, constB198)) | (~v108(constB197)) | v110(constB198))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33720,plain,
% 74.27/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB197, constB198)) | v110(constB198) | (~v108(constB197))),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33719, 33718])).
% 74.27/47.13 tff(33721,plain,
% 74.27/47.13 (v110(constB198) | (~v108(constB197))),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33720, 317, 33714])).
% 74.27/47.13 tff(33722,plain,
% 74.27/47.13 (v110(constB198)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33721, 33711])).
% 74.27/47.13 tff(33723,plain,
% 74.27/47.13 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB197) | (~nextState(constB197, constB198)) | (~v104(constB198)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB197) | (~nextState(constB197, constB198)) | (~v104(constB198)))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33724,plain,
% 74.27/47.13 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB197) | (~nextState(constB197, constB198)) | (~v104(constB198)))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33725,plain,
% 74.27/47.13 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB197) | (~nextState(constB197, constB198)) | (~v104(constB198))),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33724, 33723])).
% 74.27/47.13 tff(33726,plain,
% 74.27/47.13 (~v104(constB198)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33725, 335, 33714, 33584])).
% 74.27/47.13 tff(33727,plain,
% 74.27/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB197, constB198)) | v102(constB198) | v104(constB198))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB197, constB198)) | v102(constB198) | v104(constB198))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33728,plain,
% 74.27/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB197, constB198)) | v102(constB198) | v104(constB198))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33729,plain,
% 74.27/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB197, constB198)) | v102(constB198) | v104(constB198)),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33728, 33727])).
% 74.27/47.13 tff(33730,plain,
% 74.27/47.13 (v102(constB198) | v104(constB198)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33729, 349, 33714])).
% 74.27/47.13 tff(33731,plain,
% 74.27/47.13 (v102(constB198)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33730, 33726])).
% 74.27/47.13 tff(33732,plain,
% 74.27/47.13 (v1(constB198) <=> v1(constB198)),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33733,axiom,(v1(constB198)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_198_1')).
% 74.27/47.13 tff(33734,plain,
% 74.27/47.13 (v1(constB198)),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33733, 33732])).
% 74.27/47.13 tff(33735,plain,
% 74.27/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB197, constB198)) | v101(constB198) | (~v102(constB198)) | (~v1(constB198)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB197, constB198)) | v101(constB198) | (~v102(constB198)) | (~v1(constB198)))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33736,plain,
% 74.27/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB197, constB198)) | v101(constB198) | (~v102(constB198)) | (~v1(constB198)))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33737,plain,
% 74.27/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB197, constB198)) | v101(constB198) | (~v102(constB198)) | (~v1(constB198))),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33736, 33735])).
% 74.27/47.13 tff(33738,plain,
% 74.27/47.13 (v101(constB198) | (~v102(constB198))),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33737, 367, 33714, 33734])).
% 74.27/47.13 tff(33739,plain,
% 74.27/47.13 (v101(constB198)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33738, 33731])).
% 74.27/47.13 tff(33740,plain,
% 74.27/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB197, constB198)) | v100(constB198) | (~v101(constB198)) | (~v110(constB198)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB197, constB198)) | v100(constB198) | (~v101(constB198)) | (~v110(constB198)))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33741,plain,
% 74.27/47.13 (((~nextState(constB197, constB198)) | (~v101(constB198)) | (~v110(constB198)) | v100(constB198)) <=> ((~nextState(constB197, constB198)) | v100(constB198) | (~v101(constB198)) | (~v110(constB198)))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33742,plain,
% 74.27/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB197, constB198)) | (~v101(constB198)) | (~v110(constB198)) | v100(constB198))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB197, constB198)) | v100(constB198) | (~v101(constB198)) | (~v110(constB198))))),
% 74.27/47.13 inference(monotonicity,[status(thm)],[33741])).
% 74.27/47.13 tff(33743,plain,
% 74.27/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB197, constB198)) | (~v101(constB198)) | (~v110(constB198)) | v100(constB198))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB197, constB198)) | v100(constB198) | (~v101(constB198)) | (~v110(constB198)))),
% 74.27/47.13 inference(transitivity,[status(thm)],[33742, 33740])).
% 74.27/47.13 tff(33744,plain,
% 74.27/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB197, constB198)) | (~v101(constB198)) | (~v110(constB198)) | v100(constB198))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33745,plain,
% 74.27/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB197, constB198)) | v100(constB198) | (~v101(constB198)) | (~v110(constB198))),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33744, 33743])).
% 74.27/47.13 tff(33746,plain,
% 74.27/47.13 (v100(constB198) | (~v101(constB198)) | (~v110(constB198))),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33745, 382, 33714])).
% 74.27/47.13 tff(33747,plain,
% 74.27/47.13 (v100(constB198) | (~v110(constB198))),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33746, 33739])).
% 74.27/47.13 tff(33748,plain,
% 74.27/47.13 (v100(constB198)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33747, 33722])).
% 74.27/47.13 tff(33749,plain,
% 74.27/47.13 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB197)) | v130(constB197, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB197)) | v130(constB197, bitIndex1))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33750,plain,
% 74.27/47.13 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB197)) | v130(constB197, bitIndex1))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33751,plain,
% 74.27/47.13 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB197)) | v130(constB197, bitIndex1)),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33750, 33749])).
% 74.27/47.13 tff(33752,plain,
% 74.27/47.13 (v130(constB197, bitIndex1)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33751, 1121, 33678])).
% 74.27/47.13 tff(33753,plain,
% 74.27/47.13 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB197) | (~v130(constB197, bitIndex1)) | v127(constB197, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB197) | (~v130(constB197, bitIndex1)) | v127(constB197, bitIndex1))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33754,plain,
% 74.27/47.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB197) | (~v130(constB197, bitIndex1)) | v127(constB197, bitIndex1))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33755,plain,
% 74.27/47.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB197) | (~v130(constB197, bitIndex1)) | v127(constB197, bitIndex1)),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33754, 33753])).
% 74.27/47.13 tff(33756,plain,
% 74.27/47.13 ((~v130(constB197, bitIndex1)) | v127(constB197, bitIndex1)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33755, 824, 33702])).
% 74.27/47.13 tff(33757,plain,
% 74.27/47.13 (v127(constB197, bitIndex1)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33756, 33752])).
% 74.27/47.13 tff(33758,plain,
% 74.27/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB197, constB198)) | (~v127(constB197, bitIndex1)) | v129(constB198, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB197, constB198)) | (~v127(constB197, bitIndex1)) | v129(constB198, bitIndex1))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33759,plain,
% 74.27/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB197, constB198)) | (~v127(constB197, bitIndex1)) | v129(constB198, bitIndex1))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33760,plain,
% 74.27/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB197, constB198)) | (~v127(constB197, bitIndex1)) | v129(constB198, bitIndex1)),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33759, 33758])).
% 74.27/47.13 tff(33761,plain,
% 74.27/47.13 ((~v127(constB197, bitIndex1)) | v129(constB198, bitIndex1)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33760, 839, 33714])).
% 74.27/47.13 tff(33762,plain,
% 74.27/47.13 (v129(constB198, bitIndex1)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33761, 33757])).
% 74.27/47.13 tff(33763,plain,
% 74.27/47.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB198, bitIndex1) | (~v129(constB198, bitIndex1)) | (~v100(constB198)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB198, bitIndex1) | (~v129(constB198, bitIndex1)) | (~v100(constB198)))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33764,plain,
% 74.27/47.13 ((v90(constB198, bitIndex1) | (~v100(constB198)) | (~v129(constB198, bitIndex1))) <=> (v90(constB198, bitIndex1) | (~v129(constB198, bitIndex1)) | (~v100(constB198)))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33765,plain,
% 74.27/47.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB198, bitIndex1) | (~v100(constB198)) | (~v129(constB198, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB198, bitIndex1) | (~v129(constB198, bitIndex1)) | (~v100(constB198))))),
% 74.27/47.13 inference(monotonicity,[status(thm)],[33764])).
% 74.27/47.13 tff(33766,plain,
% 74.27/47.13 (((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB198, bitIndex1) | (~v100(constB198)) | (~v129(constB198, bitIndex1)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB198, bitIndex1) | (~v129(constB198, bitIndex1)) | (~v100(constB198)))),
% 74.27/47.13 inference(transitivity,[status(thm)],[33765, 33763])).
% 74.27/47.13 tff(33767,plain,
% 74.27/47.13 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB198, bitIndex1) | (~v100(constB198)) | (~v129(constB198, bitIndex1)))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33768,plain,
% 74.27/47.13 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB198, bitIndex1) | (~v129(constB198, bitIndex1)) | (~v100(constB198))),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33767, 33766])).
% 74.27/47.13 tff(33769,plain,
% 74.27/47.13 (v90(constB198, bitIndex1) | (~v100(constB198))),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33768, 854, 33762])).
% 74.27/47.13 tff(33770,plain,
% 74.27/47.13 (v90(constB198, bitIndex1)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33769, 33748])).
% 74.27/47.13 tff(33771,plain,
% 74.27/47.13 ((~v1(constB199)) <=> (~v1(constB199))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33772,axiom,(~v1(constB199)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_199_1_1')).
% 74.27/47.13 tff(33773,plain,
% 74.27/47.13 (~v1(constB199)),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33772, 33771])).
% 74.27/47.13 tff(33774,plain,
% 74.27/47.13 (nextState(constB198, constB199) <=> nextState(constB198, constB199)),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33775,axiom,(nextState(constB198, constB199)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_198_1')).
% 74.27/47.13 tff(33776,plain,
% 74.27/47.13 (nextState(constB198, constB199)),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33775, 33774])).
% 74.27/47.13 tff(33777,plain,
% 74.27/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB199) | (~nextState(constB198, constB199)) | (~v101(constB199)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB199) | (~nextState(constB198, constB199)) | (~v101(constB199)))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33778,plain,
% 74.27/47.13 (((~nextState(constB198, constB199)) | (~v101(constB199)) | v1(constB199)) <=> (v1(constB199) | (~nextState(constB198, constB199)) | (~v101(constB199)))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33779,plain,
% 74.27/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB198, constB199)) | (~v101(constB199)) | v1(constB199))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB199) | (~nextState(constB198, constB199)) | (~v101(constB199))))),
% 74.27/47.13 inference(monotonicity,[status(thm)],[33778])).
% 74.27/47.13 tff(33780,plain,
% 74.27/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB198, constB199)) | (~v101(constB199)) | v1(constB199))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB199) | (~nextState(constB198, constB199)) | (~v101(constB199)))),
% 74.27/47.13 inference(transitivity,[status(thm)],[33779, 33777])).
% 74.27/47.13 tff(33781,plain,
% 74.27/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB198, constB199)) | (~v101(constB199)) | v1(constB199))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33782,plain,
% 74.27/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB199) | (~nextState(constB198, constB199)) | (~v101(constB199))),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33781, 33780])).
% 74.27/47.13 tff(33783,plain,
% 74.27/47.13 (~v101(constB199)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33782, 56, 33776, 33773])).
% 74.27/47.13 tff(33784,plain,
% 74.27/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB198, constB199)) | v101(constB199) | (~v100(constB199)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB198, constB199)) | v101(constB199) | (~v100(constB199)))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33785,plain,
% 74.27/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB198, constB199)) | v101(constB199) | (~v100(constB199)))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33786,plain,
% 74.27/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB198, constB199)) | v101(constB199) | (~v100(constB199))),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33785, 33784])).
% 74.27/47.13 tff(33787,plain,
% 74.27/47.13 (v101(constB199) | (~v100(constB199))),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33786, 73, 33776])).
% 74.27/47.13 tff(33788,plain,
% 74.27/47.13 (~v100(constB199)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33787, 33783])).
% 74.27/47.13 tff(33789,plain,
% 74.27/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB198, bitIndex1)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB198, bitIndex1)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, bitIndex1))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33790,plain,
% 74.27/47.13 (((~nextState(constB198, constB199)) | (~v90(constB198, bitIndex1)) | v100(constB199) | v90(constB199, bitIndex1)) <=> ((~v90(constB198, bitIndex1)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, bitIndex1))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33791,plain,
% 74.27/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB198, constB199)) | (~v90(constB198, bitIndex1)) | v100(constB199) | v90(constB199, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB198, bitIndex1)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, bitIndex1)))),
% 74.27/47.13 inference(monotonicity,[status(thm)],[33790])).
% 74.27/47.13 tff(33792,plain,
% 74.27/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB198, constB199)) | (~v90(constB198, bitIndex1)) | v100(constB199) | v90(constB199, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB198, bitIndex1)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, bitIndex1))),
% 74.27/47.13 inference(transitivity,[status(thm)],[33791, 33789])).
% 74.27/47.13 tff(33793,plain,
% 74.27/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB198, constB199)) | (~v90(constB198, bitIndex1)) | v100(constB199) | v90(constB199, bitIndex1))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33794,plain,
% 74.27/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB198, bitIndex1)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, bitIndex1)),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33793, 33792])).
% 74.27/47.13 tff(33795,plain,
% 74.27/47.13 ((~v90(constB198, bitIndex1)) | v100(constB199) | v90(constB199, bitIndex1)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33794, 872, 33776])).
% 74.27/47.13 tff(33796,plain,
% 74.27/47.13 ((~v90(constB198, bitIndex1)) | v90(constB199, bitIndex1)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33795, 33788])).
% 74.27/47.13 tff(33797,plain,
% 74.27/47.13 (v90(constB199, bitIndex1)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33796, 33770])).
% 74.27/47.13 tff(33798,plain,
% 74.27/47.13 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB199, bitIndex1)) | v88(constB199, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB199, bitIndex1)) | v88(constB199, bitIndex1))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33799,plain,
% 74.27/47.13 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB199, bitIndex1)) | v88(constB199, bitIndex1))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33800,plain,
% 74.27/47.13 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB199, bitIndex1)) | v88(constB199, bitIndex1)),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33799, 33798])).
% 74.27/47.13 tff(33801,plain,
% 74.27/47.13 (v88(constB199, bitIndex1)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33800, 20927, 33797])).
% 74.27/47.13 tff(33802,plain,
% 74.27/47.13 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB197)) | v130(constB197, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB197)) | v130(constB197, bitIndex0))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33803,plain,
% 74.27/47.13 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB197)) | v130(constB197, bitIndex0))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33804,plain,
% 74.27/47.13 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB197)) | v130(constB197, bitIndex0)),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33803, 33802])).
% 74.27/47.13 tff(33805,plain,
% 74.27/47.13 (v130(constB197, bitIndex0)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33804, 1162, 33678])).
% 74.27/47.13 tff(33806,plain,
% 74.27/47.13 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB197) | (~v130(constB197, bitIndex0)) | v127(constB197, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB197) | (~v130(constB197, bitIndex0)) | v127(constB197, bitIndex0))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33807,plain,
% 74.27/47.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB197) | (~v130(constB197, bitIndex0)) | v127(constB197, bitIndex0))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33808,plain,
% 74.27/47.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB197) | (~v130(constB197, bitIndex0)) | v127(constB197, bitIndex0)),
% 74.27/47.13 inference(modus_ponens,[status(thm)],[33807, 33806])).
% 74.27/47.13 tff(33809,plain,
% 74.27/47.13 ((~v130(constB197, bitIndex0)) | v127(constB197, bitIndex0)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33808, 179, 33702])).
% 74.27/47.13 tff(33810,plain,
% 74.27/47.13 (v127(constB197, bitIndex0)),
% 74.27/47.13 inference(unit_resolution,[status(thm)],[33809, 33805])).
% 74.27/47.13 tff(33811,plain,
% 74.27/47.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB197, constB198)) | (~v127(constB197, bitIndex0)) | v129(constB198, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB197, constB198)) | (~v127(constB197, bitIndex0)) | v129(constB198, bitIndex0))),
% 74.27/47.13 inference(rewrite,[status(thm)],[])).
% 74.27/47.13 tff(33812,plain,
% 74.27/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB197, constB198)) | (~v127(constB197, bitIndex0)) | v129(constB198, bitIndex0))),
% 74.27/47.13 inference(quant_inst,[status(thm)],[])).
% 74.27/47.13 tff(33813,plain,
% 74.27/47.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB197, constB198)) | (~v127(constB197, bitIndex0)) | v129(constB198, bitIndex0)),
% 74.27/47.14 inference(modus_ponens,[status(thm)],[33812, 33811])).
% 74.27/47.14 tff(33814,plain,
% 74.27/47.14 ((~v127(constB197, bitIndex0)) | v129(constB198, bitIndex0)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33813, 197, 33714])).
% 74.27/47.14 tff(33815,plain,
% 74.27/47.14 (v129(constB198, bitIndex0)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33814, 33810])).
% 74.27/47.14 tff(33816,plain,
% 74.27/47.14 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB198, bitIndex0) | (~v129(constB198, bitIndex0)) | (~v100(constB198)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB198, bitIndex0) | (~v129(constB198, bitIndex0)) | (~v100(constB198)))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33817,plain,
% 74.27/47.14 ((v90(constB198, bitIndex0) | (~v100(constB198)) | (~v129(constB198, bitIndex0))) <=> (v90(constB198, bitIndex0) | (~v129(constB198, bitIndex0)) | (~v100(constB198)))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33818,plain,
% 74.27/47.14 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB198, bitIndex0) | (~v100(constB198)) | (~v129(constB198, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB198, bitIndex0) | (~v129(constB198, bitIndex0)) | (~v100(constB198))))),
% 74.27/47.14 inference(monotonicity,[status(thm)],[33817])).
% 74.27/47.14 tff(33819,plain,
% 74.27/47.14 (((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB198, bitIndex0) | (~v100(constB198)) | (~v129(constB198, bitIndex0)))) <=> ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB198, bitIndex0) | (~v129(constB198, bitIndex0)) | (~v100(constB198)))),
% 74.27/47.14 inference(transitivity,[status(thm)],[33818, 33816])).
% 74.27/47.14 tff(33820,plain,
% 74.27/47.14 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB198, bitIndex0) | (~v100(constB198)) | (~v129(constB198, bitIndex0)))),
% 74.27/47.14 inference(quant_inst,[status(thm)],[])).
% 74.27/47.14 tff(33821,plain,
% 74.27/47.14 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB198, bitIndex0) | (~v129(constB198, bitIndex0)) | (~v100(constB198))),
% 74.27/47.14 inference(modus_ponens,[status(thm)],[33820, 33819])).
% 74.27/47.14 tff(33822,plain,
% 74.27/47.14 (v90(constB198, bitIndex0) | (~v100(constB198))),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33821, 401, 33815])).
% 74.27/47.14 tff(33823,plain,
% 74.27/47.14 (v90(constB198, bitIndex0)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33822, 33748])).
% 74.27/47.14 tff(33824,plain,
% 74.27/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB198, bitIndex0)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB198, bitIndex0)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, bitIndex0))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33825,plain,
% 74.27/47.14 (((~nextState(constB198, constB199)) | (~v90(constB198, bitIndex0)) | v100(constB199) | v90(constB199, bitIndex0)) <=> ((~v90(constB198, bitIndex0)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, bitIndex0))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33826,plain,
% 74.27/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB198, constB199)) | (~v90(constB198, bitIndex0)) | v100(constB199) | v90(constB199, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB198, bitIndex0)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, bitIndex0)))),
% 74.27/47.14 inference(monotonicity,[status(thm)],[33825])).
% 74.27/47.14 tff(33827,plain,
% 74.27/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB198, constB199)) | (~v90(constB198, bitIndex0)) | v100(constB199) | v90(constB199, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB198, bitIndex0)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, bitIndex0))),
% 74.27/47.14 inference(transitivity,[status(thm)],[33826, 33824])).
% 74.27/47.14 tff(33828,plain,
% 74.27/47.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB198, constB199)) | (~v90(constB198, bitIndex0)) | v100(constB199) | v90(constB199, bitIndex0))),
% 74.27/47.14 inference(quant_inst,[status(thm)],[])).
% 74.27/47.14 tff(33829,plain,
% 74.27/47.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB198, bitIndex0)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, bitIndex0)),
% 74.27/47.14 inference(modus_ponens,[status(thm)],[33828, 33827])).
% 74.27/47.14 tff(33830,plain,
% 74.27/47.14 ((~v90(constB198, bitIndex0)) | v100(constB199) | v90(constB199, bitIndex0)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33829, 437, 33776])).
% 74.27/47.14 tff(33831,plain,
% 74.27/47.14 ((~v90(constB198, bitIndex0)) | v90(constB199, bitIndex0)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33830, 33788])).
% 74.27/47.14 tff(33832,plain,
% 74.27/47.14 (v90(constB199, bitIndex0)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33831, 33823])).
% 74.27/47.14 tff(33833,plain,
% 74.27/47.14 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB199, bitIndex0)) | v88(constB199, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB199, bitIndex0)) | v88(constB199, bitIndex0))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33834,plain,
% 74.27/47.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB199, bitIndex0)) | v88(constB199, bitIndex0))),
% 74.27/47.14 inference(quant_inst,[status(thm)],[])).
% 74.27/47.14 tff(33835,plain,
% 74.27/47.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB199, bitIndex0)) | v88(constB199, bitIndex0)),
% 74.27/47.14 inference(modus_ponens,[status(thm)],[33834, 33833])).
% 74.27/47.14 tff(33836,plain,
% 74.27/47.14 (v88(constB199, bitIndex0)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33835, 6074, 33832])).
% 74.27/47.14 tff(33837,plain,
% 74.27/47.14 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB197)) | (~v130(constB197, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB197)) | (~v130(constB197, bitIndex2)))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33838,plain,
% 74.27/47.14 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB197)) | (~v130(constB197, bitIndex2)))),
% 74.27/47.14 inference(quant_inst,[status(thm)],[])).
% 74.27/47.14 tff(33839,plain,
% 74.27/47.14 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB197)) | (~v130(constB197, bitIndex2))),
% 74.27/47.14 inference(modus_ponens,[status(thm)],[33838, 33837])).
% 74.27/47.14 tff(33840,plain,
% 74.27/47.14 (~v130(constB197, bitIndex2)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33839, 1059, 33678])).
% 74.27/47.14 tff(33841,plain,
% 74.27/47.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB197, bitIndex2)) | v26(constB197) | v130(constB197, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB197, bitIndex2)) | v26(constB197) | v130(constB197, bitIndex2))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33842,plain,
% 74.27/47.14 ((v26(constB197) | v130(constB197, bitIndex2) | (~v127(constB197, bitIndex2))) <=> ((~v127(constB197, bitIndex2)) | v26(constB197) | v130(constB197, bitIndex2))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33843,plain,
% 74.27/47.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB197) | v130(constB197, bitIndex2) | (~v127(constB197, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB197, bitIndex2)) | v26(constB197) | v130(constB197, bitIndex2)))),
% 74.27/47.14 inference(monotonicity,[status(thm)],[33842])).
% 74.27/47.14 tff(33844,plain,
% 74.27/47.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB197) | v130(constB197, bitIndex2) | (~v127(constB197, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB197, bitIndex2)) | v26(constB197) | v130(constB197, bitIndex2))),
% 74.27/47.14 inference(transitivity,[status(thm)],[33843, 33841])).
% 74.27/47.14 tff(33845,plain,
% 74.27/47.14 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB197) | v130(constB197, bitIndex2) | (~v127(constB197, bitIndex2)))),
% 74.27/47.14 inference(quant_inst,[status(thm)],[])).
% 74.27/47.14 tff(33846,plain,
% 74.27/47.14 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB197, bitIndex2)) | v26(constB197) | v130(constB197, bitIndex2)),
% 74.27/47.14 inference(modus_ponens,[status(thm)],[33845, 33844])).
% 74.27/47.14 tff(33847,plain,
% 74.27/47.14 ((~v127(constB197, bitIndex2)) | v130(constB197, bitIndex2)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33846, 470, 33702])).
% 74.27/47.14 tff(33848,plain,
% 74.27/47.14 (~v127(constB197, bitIndex2)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33847, 33840])).
% 74.27/47.14 tff(33849,plain,
% 74.27/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB197, constB198)) | v127(constB197, bitIndex2) | (~v129(constB198, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB197, constB198)) | v127(constB197, bitIndex2) | (~v129(constB198, bitIndex2)))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33850,plain,
% 74.27/47.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB197, constB198)) | v127(constB197, bitIndex2) | (~v129(constB198, bitIndex2)))),
% 74.27/47.14 inference(quant_inst,[status(thm)],[])).
% 74.27/47.14 tff(33851,plain,
% 74.27/47.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB197, constB198)) | v127(constB197, bitIndex2) | (~v129(constB198, bitIndex2))),
% 74.27/47.14 inference(modus_ponens,[status(thm)],[33850, 33849])).
% 74.27/47.14 tff(33852,plain,
% 74.27/47.14 (v127(constB197, bitIndex2) | (~v129(constB198, bitIndex2))),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33851, 488, 33714])).
% 74.27/47.14 tff(33853,plain,
% 74.27/47.14 (~v129(constB198, bitIndex2)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33852, 33848])).
% 74.27/47.14 tff(33854,plain,
% 74.27/47.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB198, bitIndex2)) | v129(constB198, bitIndex2) | (~v100(constB198)))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB198, bitIndex2)) | v129(constB198, bitIndex2) | (~v100(constB198)))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33855,plain,
% 74.27/47.14 (((~v90(constB198, bitIndex2)) | (~v100(constB198)) | v129(constB198, bitIndex2)) <=> ((~v90(constB198, bitIndex2)) | v129(constB198, bitIndex2) | (~v100(constB198)))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33856,plain,
% 74.27/47.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB198, bitIndex2)) | (~v100(constB198)) | v129(constB198, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB198, bitIndex2)) | v129(constB198, bitIndex2) | (~v100(constB198))))),
% 74.27/47.14 inference(monotonicity,[status(thm)],[33855])).
% 74.27/47.14 tff(33857,plain,
% 74.27/47.14 (((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB198, bitIndex2)) | (~v100(constB198)) | v129(constB198, bitIndex2))) <=> ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB198, bitIndex2)) | v129(constB198, bitIndex2) | (~v100(constB198)))),
% 74.27/47.14 inference(transitivity,[status(thm)],[33856, 33854])).
% 74.27/47.14 tff(33858,plain,
% 74.27/47.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB198, bitIndex2)) | (~v100(constB198)) | v129(constB198, bitIndex2))),
% 74.27/47.14 inference(quant_inst,[status(thm)],[])).
% 74.27/47.14 tff(33859,plain,
% 74.27/47.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB198, bitIndex2)) | v129(constB198, bitIndex2) | (~v100(constB198))),
% 74.27/47.14 inference(modus_ponens,[status(thm)],[33858, 33857])).
% 74.27/47.14 tff(33860,plain,
% 74.27/47.14 ((~v90(constB198, bitIndex2)) | (~v100(constB198))),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33859, 503, 33853])).
% 74.27/47.14 tff(33861,plain,
% 74.27/47.14 (~v90(constB198, bitIndex2)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33860, 33748])).
% 74.27/47.14 tff(33862,plain,
% 74.27/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB198, bitIndex2) | (~nextState(constB198, constB199)) | v100(constB199) | (~v90(constB199, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB198, bitIndex2) | (~nextState(constB198, constB199)) | v100(constB199) | (~v90(constB199, bitIndex2)))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33863,plain,
% 74.27/47.14 (((~nextState(constB198, constB199)) | v90(constB198, bitIndex2) | v100(constB199) | (~v90(constB199, bitIndex2))) <=> (v90(constB198, bitIndex2) | (~nextState(constB198, constB199)) | v100(constB199) | (~v90(constB199, bitIndex2)))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33864,plain,
% 74.27/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB198, constB199)) | v90(constB198, bitIndex2) | v100(constB199) | (~v90(constB199, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB198, bitIndex2) | (~nextState(constB198, constB199)) | v100(constB199) | (~v90(constB199, bitIndex2))))),
% 74.27/47.14 inference(monotonicity,[status(thm)],[33863])).
% 74.27/47.14 tff(33865,plain,
% 74.27/47.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB198, constB199)) | v90(constB198, bitIndex2) | v100(constB199) | (~v90(constB199, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB198, bitIndex2) | (~nextState(constB198, constB199)) | v100(constB199) | (~v90(constB199, bitIndex2)))),
% 74.27/47.14 inference(transitivity,[status(thm)],[33864, 33862])).
% 74.27/47.14 tff(33866,plain,
% 74.27/47.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB198, constB199)) | v90(constB198, bitIndex2) | v100(constB199) | (~v90(constB199, bitIndex2)))),
% 74.27/47.14 inference(quant_inst,[status(thm)],[])).
% 74.27/47.14 tff(33867,plain,
% 74.27/47.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB198, bitIndex2) | (~nextState(constB198, constB199)) | v100(constB199) | (~v90(constB199, bitIndex2))),
% 74.27/47.14 inference(modus_ponens,[status(thm)],[33866, 33865])).
% 74.27/47.14 tff(33868,plain,
% 74.27/47.14 (v90(constB198, bitIndex2) | v100(constB199) | (~v90(constB199, bitIndex2))),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33867, 88, 33776])).
% 74.27/47.14 tff(33869,plain,
% 74.27/47.14 (v90(constB198, bitIndex2) | (~v90(constB199, bitIndex2))),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33868, 33788])).
% 74.27/47.14 tff(33870,plain,
% 74.27/47.14 (~v90(constB199, bitIndex2)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33869, 33861])).
% 74.27/47.14 tff(33871,plain,
% 74.27/47.14 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB199, bitIndex2) | (~v88(constB199, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB199, bitIndex2) | (~v88(constB199, bitIndex2)))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33872,plain,
% 74.27/47.14 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB199, bitIndex2) | (~v88(constB199, bitIndex2)))),
% 74.27/47.14 inference(quant_inst,[status(thm)],[])).
% 74.27/47.14 tff(33873,plain,
% 74.27/47.14 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB199, bitIndex2) | (~v88(constB199, bitIndex2))),
% 74.27/47.14 inference(modus_ponens,[status(thm)],[33872, 33871])).
% 74.27/47.14 tff(33874,plain,
% 74.27/47.14 (~v88(constB199, bitIndex2)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33873, 20913, 33870])).
% 74.27/47.14 tff(33875,assumption,(~v141(constB199)), introduced(assumption)).
% 74.27/47.14 tff(33876,plain,
% 74.27/47.14 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB199, bitIndex0)) | v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v141(constB199))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB199, bitIndex0)) | v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v141(constB199))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33877,plain,
% 74.27/47.14 ((v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | (~v88(constB199, bitIndex0)) | v141(constB199)) <=> ((~v88(constB199, bitIndex0)) | v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v141(constB199))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33878,plain,
% 74.27/47.14 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | (~v88(constB199, bitIndex0)) | v141(constB199))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB199, bitIndex0)) | v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v141(constB199)))),
% 74.27/47.14 inference(monotonicity,[status(thm)],[33877])).
% 74.27/47.14 tff(33879,plain,
% 74.27/47.14 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | (~v88(constB199, bitIndex0)) | v141(constB199))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB199, bitIndex0)) | v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v141(constB199))),
% 74.27/47.14 inference(transitivity,[status(thm)],[33878, 33876])).
% 74.27/47.14 tff(33880,plain,
% 74.27/47.14 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | (~v88(constB199, bitIndex0)) | v141(constB199))),
% 74.27/47.14 inference(quant_inst,[status(thm)],[])).
% 74.27/47.14 tff(33881,plain,
% 74.27/47.14 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB199, bitIndex0)) | v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)) | v141(constB199)),
% 74.27/47.14 inference(modus_ponens,[status(thm)],[33880, 33879])).
% 74.27/47.14 tff(33882,plain,
% 74.27/47.14 ((~v88(constB199, bitIndex0)) | v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1))),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33881, 20945, 33875])).
% 74.27/47.14 tff(33883,plain,
% 74.27/47.14 ($false),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33882, 33874, 33836, 33801])).
% 74.27/47.14 tff(33884,plain,((~v121(constB197)) | v141(constB199)), inference(lemma,lemma(discharge,[]))).
% 74.27/47.14 tff(33885,plain,
% 74.27/47.14 (v141(constB199)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33884, 33677])).
% 74.27/47.14 tff(33886,plain,
% 74.27/47.14 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB199) | (~v141(constB199)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB199) | (~v141(constB199)))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33887,plain,
% 74.27/47.14 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB199) | (~v141(constB199)))),
% 74.27/47.14 inference(quant_inst,[status(thm)],[])).
% 74.27/47.14 tff(33888,plain,
% 74.27/47.14 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB199) | (~v141(constB199))),
% 74.27/47.14 inference(modus_ponens,[status(thm)],[33887, 33886])).
% 74.27/47.14 tff(33889,plain,
% 74.27/47.14 (v199(constB199)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33888, 20959, 33885])).
% 74.27/47.14 tff(33890,plain,
% 74.27/47.14 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB199) | (~v199(constB199)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB199) | (~v199(constB199)))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33891,plain,
% 74.27/47.14 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB199) | (~v199(constB199)))),
% 74.27/47.14 inference(quant_inst,[status(thm)],[])).
% 74.27/47.14 tff(33892,plain,
% 74.27/47.14 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB199) | (~v199(constB199))),
% 74.27/47.14 inference(modus_ponens,[status(thm)],[33891, 33890])).
% 74.27/47.14 tff(33893,plain,
% 74.27/47.14 (v198(constB199)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33892, 20970, 33889])).
% 74.27/47.14 tff(33894,plain,
% 74.27/47.14 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB199)) | (~v201(constB199)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB199)) | (~v201(constB199)))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33895,plain,
% 74.27/47.14 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB199)) | (~v201(constB199)))),
% 74.27/47.14 inference(quant_inst,[status(thm)],[])).
% 74.27/47.14 tff(33896,plain,
% 74.27/47.14 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB199)) | (~v201(constB199))),
% 74.27/47.14 inference(modus_ponens,[status(thm)],[33895, 33894])).
% 74.27/47.14 tff(33897,plain,
% 74.27/47.14 (~v201(constB199)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33896, 20984, 33893])).
% 74.27/47.14 tff(33898,assumption,(v198(constB199)), introduced(assumption)).
% 74.27/47.14 tff(33899,assumption,(~v197(constB199)), introduced(assumption)).
% 74.27/47.14 tff(33900,plain,
% 74.27/47.14 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB199) | (~v198(constB199)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB199) | (~v198(constB199)))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33901,plain,
% 74.27/47.14 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB199) | (~v198(constB199)))),
% 74.27/47.14 inference(quant_inst,[status(thm)],[])).
% 74.27/47.14 tff(33902,plain,
% 74.27/47.14 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB199) | (~v198(constB199))),
% 74.27/47.14 inference(modus_ponens,[status(thm)],[33901, 33900])).
% 74.27/47.14 tff(33903,plain,
% 74.27/47.14 ($false),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33902, 20995, 33899, 33898])).
% 74.27/47.14 tff(33904,plain,((~v198(constB199)) | v197(constB199)), inference(lemma,lemma(discharge,[]))).
% 74.27/47.14 tff(33905,plain,
% 74.27/47.14 (v197(constB199)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33904, 33893])).
% 74.27/47.14 tff(33906,plain,
% 74.27/47.14 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB199) | v201(constB199) | (~v197(constB199)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB199) | v201(constB199) | (~v197(constB199)))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33907,plain,
% 74.27/47.14 (((~v197(constB199)) | v201(constB199) | v227(constB199)) <=> (v227(constB199) | v201(constB199) | (~v197(constB199)))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33908,plain,
% 74.27/47.14 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB199)) | v201(constB199) | v227(constB199))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB199) | v201(constB199) | (~v197(constB199))))),
% 74.27/47.14 inference(monotonicity,[status(thm)],[33907])).
% 74.27/47.14 tff(33909,plain,
% 74.27/47.14 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB199)) | v201(constB199) | v227(constB199))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB199) | v201(constB199) | (~v197(constB199)))),
% 74.27/47.14 inference(transitivity,[status(thm)],[33908, 33906])).
% 74.27/47.14 tff(33910,plain,
% 74.27/47.14 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB199)) | v201(constB199) | v227(constB199))),
% 74.27/47.14 inference(quant_inst,[status(thm)],[])).
% 74.27/47.14 tff(33911,plain,
% 74.27/47.14 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB199) | v201(constB199) | (~v197(constB199))),
% 74.27/47.14 inference(modus_ponens,[status(thm)],[33910, 33909])).
% 74.27/47.14 tff(33912,plain,
% 74.27/47.14 (v227(constB199)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33911, 21009, 33905, 33897])).
% 74.27/47.14 tff(33913,plain,
% 74.27/47.14 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB199)) | (~v223(constB199, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB199)) | (~v223(constB199, bitIndex0)))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33914,plain,
% 74.27/47.14 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB199)) | (~v223(constB199, bitIndex0)))),
% 74.27/47.14 inference(quant_inst,[status(thm)],[])).
% 74.27/47.14 tff(33915,plain,
% 74.27/47.14 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB199)) | (~v223(constB199, bitIndex0))),
% 74.27/47.14 inference(modus_ponens,[status(thm)],[33914, 33913])).
% 74.27/47.14 tff(33916,plain,
% 74.27/47.14 (~v223(constB199, bitIndex0)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33915, 21023, 33912])).
% 74.27/47.14 tff(33917,plain,
% 74.27/47.14 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB199)) | (~v199(constB199)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB199)) | (~v199(constB199)))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33918,plain,
% 74.27/47.14 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB199)) | (~v199(constB199)))),
% 74.27/47.14 inference(quant_inst,[status(thm)],[])).
% 74.27/47.14 tff(33919,plain,
% 74.27/47.14 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB199)) | (~v199(constB199))),
% 74.27/47.14 inference(modus_ponens,[status(thm)],[33918, 33917])).
% 74.27/47.14 tff(33920,plain,
% 74.27/47.14 (~v183(constB199)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33919, 21034, 33889])).
% 74.27/47.14 tff(33921,plain,
% 74.27/47.14 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB199) | (~v197(constB199)) | v183(constB199))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB199) | (~v197(constB199)) | v183(constB199))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33922,plain,
% 74.27/47.14 (((~v197(constB199)) | v183(constB199) | v228(constB199)) <=> (v228(constB199) | (~v197(constB199)) | v183(constB199))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33923,plain,
% 74.27/47.14 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB199)) | v183(constB199) | v228(constB199))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB199) | (~v197(constB199)) | v183(constB199)))),
% 74.27/47.14 inference(monotonicity,[status(thm)],[33922])).
% 74.27/47.14 tff(33924,plain,
% 74.27/47.14 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB199)) | v183(constB199) | v228(constB199))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB199) | (~v197(constB199)) | v183(constB199))),
% 74.27/47.14 inference(transitivity,[status(thm)],[33923, 33921])).
% 74.27/47.14 tff(33925,plain,
% 74.27/47.14 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB199)) | v183(constB199) | v228(constB199))),
% 74.27/47.14 inference(quant_inst,[status(thm)],[])).
% 74.27/47.14 tff(33926,plain,
% 74.27/47.14 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB199) | (~v197(constB199)) | v183(constB199)),
% 74.27/47.14 inference(modus_ponens,[status(thm)],[33925, 33924])).
% 74.27/47.14 tff(33927,plain,
% 74.27/47.14 (v228(constB199)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33926, 6287, 33905, 33920])).
% 74.27/47.14 tff(33928,plain,
% 74.27/47.14 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB199)) | (~v223(constB199, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB199)) | (~v223(constB199, bitIndex1)))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33929,plain,
% 74.27/47.14 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB199)) | (~v223(constB199, bitIndex1)))),
% 74.27/47.14 inference(quant_inst,[status(thm)],[])).
% 74.27/47.14 tff(33930,plain,
% 74.27/47.14 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB199)) | (~v223(constB199, bitIndex1))),
% 74.27/47.14 inference(modus_ponens,[status(thm)],[33929, 33928])).
% 74.27/47.14 tff(33931,plain,
% 74.27/47.14 (~v223(constB199, bitIndex1)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33930, 6301, 33927])).
% 74.27/47.14 tff(33932,plain,
% 74.27/47.14 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB199, bitIndex0) | v223(constB199, bitIndex1) | (~v229(constB199)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB199, bitIndex0) | v223(constB199, bitIndex1) | (~v229(constB199)))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33933,plain,
% 74.27/47.14 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB199, bitIndex0) | v223(constB199, bitIndex1) | (~v229(constB199)))),
% 74.27/47.14 inference(quant_inst,[status(thm)],[])).
% 74.27/47.14 tff(33934,plain,
% 74.27/47.14 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB199, bitIndex0) | v223(constB199, bitIndex1) | (~v229(constB199))),
% 74.27/47.14 inference(modus_ponens,[status(thm)],[33933, 33932])).
% 74.27/47.14 tff(33935,plain,
% 74.27/47.14 (~v229(constB199)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33934, 21059, 33931, 33916])).
% 74.27/47.14 tff(33936,plain,
% 74.27/47.14 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB199) | (~v225(constB199)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB199) | (~v225(constB199)))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33937,plain,
% 74.27/47.14 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB199) | (~v225(constB199)))),
% 74.27/47.14 inference(quant_inst,[status(thm)],[])).
% 74.27/47.14 tff(33938,plain,
% 74.27/47.14 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB199) | (~v225(constB199))),
% 74.27/47.14 inference(modus_ponens,[status(thm)],[33937, 33936])).
% 74.27/47.14 tff(33939,plain,
% 74.27/47.14 (~v225(constB199)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33938, 21073, 33935])).
% 74.27/47.14 tff(33940,plain,
% 74.27/47.14 (((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB199) | (~v224(constB199)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB199) | (~v224(constB199)))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33941,plain,
% 74.27/47.14 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB199) | (~v224(constB199)))),
% 74.27/47.14 inference(quant_inst,[status(thm)],[])).
% 74.27/47.14 tff(33942,plain,
% 74.27/47.14 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB199) | (~v224(constB199))),
% 74.27/47.14 inference(modus_ponens,[status(thm)],[33941, 33940])).
% 74.27/47.14 tff(33943,plain,
% 74.27/47.14 (~v224(constB199)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33942, 21084, 33939])).
% 74.27/47.14 tff(33944,plain,
% 74.27/47.14 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB199)) | v223(constB199, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB199)) | v223(constB199, bitIndex1))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33945,plain,
% 74.27/47.14 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB199)) | v223(constB199, bitIndex1))),
% 74.27/47.14 inference(quant_inst,[status(thm)],[])).
% 74.27/47.14 tff(33946,plain,
% 74.27/47.14 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB199)) | v223(constB199, bitIndex1)),
% 74.27/47.14 inference(modus_ponens,[status(thm)],[33945, 33944])).
% 74.27/47.14 tff(33947,plain,
% 74.27/47.14 (~v222(constB199)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33946, 6315, 33931])).
% 74.27/47.14 tff(33948,plain,
% 74.27/47.14 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB199) | v224(constB199) | (~v236(constB199)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB199) | v224(constB199) | (~v236(constB199)))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33949,plain,
% 74.27/47.14 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB199) | v224(constB199) | (~v236(constB199)))),
% 74.27/47.14 inference(quant_inst,[status(thm)],[])).
% 74.27/47.14 tff(33950,plain,
% 74.27/47.14 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB199) | v224(constB199) | (~v236(constB199))),
% 74.27/47.14 inference(modus_ponens,[status(thm)],[33949, 33948])).
% 74.27/47.14 tff(33951,plain,
% 74.27/47.14 (v224(constB199) | (~v236(constB199))),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33950, 6385, 33947])).
% 74.27/47.14 tff(33952,plain,
% 74.27/47.14 (~v236(constB199)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33951, 33943])).
% 74.27/47.14 tff(33953,plain,
% 74.27/47.14 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB199) | (~v232(constB199)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB199) | (~v232(constB199)))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33954,plain,
% 74.27/47.14 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB199) | (~v232(constB199)))),
% 74.27/47.14 inference(quant_inst,[status(thm)],[])).
% 74.27/47.14 tff(33955,plain,
% 74.27/47.14 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB199) | (~v232(constB199))),
% 74.27/47.14 inference(modus_ponens,[status(thm)],[33954, 33953])).
% 74.27/47.14 tff(33956,plain,
% 74.27/47.14 (~v232(constB199)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33955, 6396, 33952])).
% 74.27/47.14 tff(33957,plain,
% 74.27/47.14 (v117(constB197)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33681, 976, 33677])).
% 74.27/47.14 tff(33958,plain,
% 74.27/47.14 (v116(constB197)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33685, 254, 33957])).
% 74.27/47.14 tff(33959,plain,
% 74.27/47.14 (v115(constB197)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33689, 265, 33958])).
% 74.27/47.14 tff(33960,plain,
% 74.27/47.14 (v114(constB197)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33693, 276, 33959])).
% 74.27/47.14 tff(33961,plain,
% 74.27/47.14 (v113(constB197)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33697, 287, 33960])).
% 74.27/47.14 tff(33962,plain,
% 74.27/47.14 (v112(constB197)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33706, 33961])).
% 74.27/47.14 tff(33963,plain,
% 74.27/47.14 (v108(constB197)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33710, 210, 33962])).
% 74.27/47.14 tff(33964,plain,
% 74.27/47.14 (v110(constB198)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33721, 33963])).
% 74.27/47.14 tff(33965,plain,
% 74.27/47.14 (v100(constB198)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33747, 33964])).
% 74.27/47.14 tff(33966,plain,
% 74.27/47.14 (v130(constB197, bitIndex0)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33804, 1162, 33677])).
% 74.27/47.14 tff(33967,plain,
% 74.27/47.14 (v127(constB197, bitIndex0)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33809, 33966])).
% 74.27/47.14 tff(33968,plain,
% 74.27/47.14 (v129(constB198, bitIndex0)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33814, 33967])).
% 74.27/47.14 tff(33969,plain,
% 74.27/47.14 (v90(constB198, bitIndex0) | (~v100(constB198))),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33821, 401, 33968])).
% 74.27/47.14 tff(33970,plain,
% 74.27/47.14 (v90(constB198, bitIndex0)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33969, 33965])).
% 74.27/47.14 tff(33971,plain,
% 74.27/47.14 (v90(constB199, bitIndex0)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33831, 33970])).
% 74.27/47.14 tff(33972,plain,
% 74.27/47.14 (v88(constB199, bitIndex0)),
% 74.27/47.14 inference(unit_resolution,[status(thm)],[33835, 6074, 33971])).
% 74.27/47.14 tff(33973,plain,
% 74.27/47.14 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB199, bitIndex0)) | (~v139(constB199)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB199, bitIndex0)) | (~v139(constB199)))),
% 74.27/47.14 inference(rewrite,[status(thm)],[])).
% 74.27/47.14 tff(33974,plain,
% 74.27/47.14 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB199, bitIndex0)) | (~v139(constB199)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(33975,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB199, bitIndex0)) | (~v139(constB199))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[33974, 33973])).
% 74.27/47.15 tff(33976,plain,
% 74.27/47.15 (~v139(constB199)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[33975, 6085, 33972])).
% 74.27/47.15 tff(33977,plain,
% 74.27/47.15 (v130(constB197, bitIndex1)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[33751, 1121, 33677])).
% 74.27/47.15 tff(33978,plain,
% 74.27/47.15 (v127(constB197, bitIndex1)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[33756, 33977])).
% 74.27/47.15 tff(33979,plain,
% 74.27/47.15 (v129(constB198, bitIndex1)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[33761, 33978])).
% 74.27/47.15 tff(33980,plain,
% 74.27/47.15 (v90(constB198, bitIndex1) | (~v100(constB198))),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[33768, 854, 33979])).
% 74.27/47.15 tff(33981,plain,
% 74.27/47.15 (v90(constB198, bitIndex1)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[33980, 33965])).
% 74.27/47.15 tff(33982,plain,
% 74.27/47.15 (v90(constB199, bitIndex1)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[33796, 33981])).
% 74.27/47.15 tff(33983,plain,
% 74.27/47.15 (v88(constB199, bitIndex1)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[33800, 20927, 33982])).
% 74.27/47.15 tff(33984,plain,
% 74.27/47.15 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB199, bitIndex1)) | (~v140(constB199)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB199, bitIndex1)) | (~v140(constB199)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(33985,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB199, bitIndex1)) | (~v140(constB199)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(33986,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB199, bitIndex1)) | (~v140(constB199))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[33985, 33984])).
% 74.27/47.15 tff(33987,plain,
% 74.27/47.15 (~v140(constB199)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[33986, 21108, 33983])).
% 74.27/47.15 tff(33988,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB199) | v139(constB199) | (~v148(constB199)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB199) | v139(constB199) | (~v148(constB199)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(33989,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB199) | v139(constB199) | (~v148(constB199)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(33990,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB199) | v139(constB199) | (~v148(constB199))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[33989, 33988])).
% 74.27/47.15 tff(33991,plain,
% 74.27/47.15 (~v148(constB199)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[33990, 6410, 33987, 33976])).
% 74.27/47.15 tff(33992,plain,
% 74.27/47.15 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB199) | v148(constB199) | (~v197(constB199)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB199) | v148(constB199) | (~v197(constB199)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(33993,plain,
% 74.27/47.15 ((v148(constB199) | (~v197(constB199)) | v252(constB199)) <=> (v252(constB199) | v148(constB199) | (~v197(constB199)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(33994,plain,
% 74.27/47.15 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB199) | (~v197(constB199)) | v252(constB199))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB199) | v148(constB199) | (~v197(constB199))))),
% 74.27/47.15 inference(monotonicity,[status(thm)],[33993])).
% 74.27/47.15 tff(33995,plain,
% 74.27/47.15 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB199) | (~v197(constB199)) | v252(constB199))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB199) | v148(constB199) | (~v197(constB199)))),
% 74.27/47.15 inference(transitivity,[status(thm)],[33994, 33992])).
% 74.27/47.15 tff(33996,plain,
% 74.27/47.15 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB199) | (~v197(constB199)) | v252(constB199))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(33997,plain,
% 74.27/47.15 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB199) | v148(constB199) | (~v197(constB199))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[33996, 33995])).
% 74.27/47.15 tff(33998,plain,
% 74.27/47.15 (v252(constB199) | (~v197(constB199))),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[33997, 6427, 33991])).
% 74.27/47.15 tff(33999,plain,
% 74.27/47.15 (v252(constB199)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[33998, 33905])).
% 74.27/47.15 tff(34000,plain,
% 74.27/47.15 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB199)) | (~v223(constB199, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB199)) | (~v223(constB199, bitIndex3)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34001,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB199)) | (~v223(constB199, bitIndex3)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34002,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB199)) | (~v223(constB199, bitIndex3))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34001, 34000])).
% 74.27/47.15 tff(34003,plain,
% 74.27/47.15 (~v223(constB199, bitIndex3)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34002, 6441, 33999])).
% 74.27/47.15 tff(34004,plain,
% 74.27/47.15 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB199)) | v223(constB199, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB199)) | v223(constB199, bitIndex3))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34005,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB199)) | v223(constB199, bitIndex3))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34006,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB199)) | v223(constB199, bitIndex3)),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34005, 34004])).
% 74.27/47.15 tff(34007,plain,
% 74.27/47.15 (~v237(constB199)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34006, 6455, 34003])).
% 74.27/47.15 tff(34008,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB199) | v232(constB199) | (~v248(constB199)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB199) | v232(constB199) | (~v248(constB199)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34009,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB199) | v232(constB199) | (~v248(constB199)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34010,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB199) | v232(constB199) | (~v248(constB199))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34009, 34008])).
% 74.27/47.15 tff(34011,plain,
% 74.27/47.15 (v232(constB199) | (~v248(constB199))),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34010, 6469, 34007])).
% 74.27/47.15 tff(34012,plain,
% 74.27/47.15 (~v248(constB199)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34011, 33956])).
% 74.27/47.15 tff(34013,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB199) | (~v244(constB199)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB199) | (~v244(constB199)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34014,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB199) | (~v244(constB199)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34015,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB199) | (~v244(constB199))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34014, 34013])).
% 74.27/47.15 tff(34016,plain,
% 74.27/47.15 (~v244(constB199)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34015, 6484, 34012])).
% 74.27/47.15 tff(34017,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB199) | (~v216(constB199, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB199) | (~v216(constB199, bitIndex1)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34018,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB199) | (~v216(constB199, bitIndex1)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34019,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB199) | (~v216(constB199, bitIndex1))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34018, 34017])).
% 74.27/47.15 tff(34020,plain,
% 74.27/47.15 (~v216(constB199, bitIndex1)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34019, 6495, 34016])).
% 74.27/47.15 tff(34021,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB199)) | v216(constB199, bitIndex1))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB199)) | v216(constB199, bitIndex1))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34022,plain,
% 74.27/47.15 ((v216(constB199, bitIndex1) | (~v254(constB199))) <=> ((~v254(constB199)) | v216(constB199, bitIndex1))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34023,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB199, bitIndex1) | (~v254(constB199)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB199)) | v216(constB199, bitIndex1)))),
% 74.27/47.15 inference(monotonicity,[status(thm)],[34022])).
% 74.27/47.15 tff(34024,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB199, bitIndex1) | (~v254(constB199)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB199)) | v216(constB199, bitIndex1))),
% 74.27/47.15 inference(transitivity,[status(thm)],[34023, 34021])).
% 74.27/47.15 tff(34025,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB199, bitIndex1) | (~v254(constB199)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34026,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB199)) | v216(constB199, bitIndex1)),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34025, 34024])).
% 74.27/47.15 tff(34027,plain,
% 74.27/47.15 (~v254(constB199)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34026, 6506, 34020])).
% 74.27/47.15 tff(34028,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB199) | (~v221(constB199)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB199) | (~v221(constB199)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34029,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB199) | (~v221(constB199)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34030,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB199) | (~v221(constB199))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34029, 34028])).
% 74.27/47.15 tff(34031,plain,
% 74.27/47.15 (~v221(constB199)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34030, 21170, 33947])).
% 74.27/47.15 tff(34032,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB199) | (~v231(constB199)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB199) | (~v231(constB199)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34033,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB199) | (~v231(constB199)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34034,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB199) | (~v231(constB199))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34033, 34032])).
% 74.27/47.15 tff(34035,plain,
% 74.27/47.15 (~v231(constB199)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34034, 6528, 34007])).
% 74.27/47.15 tff(34036,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB199) | v231(constB199) | (~v243(constB199)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB199) | v231(constB199) | (~v243(constB199)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34037,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB199) | v231(constB199) | (~v243(constB199)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34038,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB199) | v231(constB199) | (~v243(constB199))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34037, 34036])).
% 74.27/47.15 tff(34039,plain,
% 74.27/47.15 (~v243(constB199)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34038, 6542, 34035, 34031])).
% 74.27/47.15 tff(34040,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB199) | v255(constB199))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB199) | v255(constB199))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34041,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB199) | v255(constB199))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34042,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB199) | v255(constB199)),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34041, 34040])).
% 74.27/47.15 tff(34043,plain,
% 74.27/47.15 (v255(constB199)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34042, 6553, 34039])).
% 74.27/47.15 tff(34044,plain,
% 74.27/47.15 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB199)) | (~v216(constB199, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB199)) | (~v216(constB199, bitIndex2)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34045,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB199)) | (~v216(constB199, bitIndex2)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34046,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB199)) | (~v216(constB199, bitIndex2))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34045, 34044])).
% 74.27/47.15 tff(34047,plain,
% 74.27/47.15 (~v216(constB199, bitIndex2)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34046, 6564, 34043])).
% 74.27/47.15 tff(34048,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB199, bitIndex2) | v254(constB199) | (~v215(constB199)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB199, bitIndex2) | v254(constB199) | (~v215(constB199)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34049,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB199, bitIndex2) | v254(constB199) | (~v215(constB199)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34050,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB199, bitIndex2) | v254(constB199) | (~v215(constB199))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34049, 34048])).
% 74.27/47.15 tff(34051,plain,
% 74.27/47.15 (v254(constB199) | (~v215(constB199))),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34050, 6578, 34047])).
% 74.27/47.15 tff(34052,plain,
% 74.27/47.15 (~v215(constB199)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34051, 34027])).
% 74.27/47.15 tff(34053,plain,
% 74.27/47.15 ($false),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34052, 33472])).
% 74.27/47.15 tff(34054,plain,(~(constB199 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.27/47.15 tff(34055,assumption,(constB23 = sK0_VarCurr), introduced(assumption)).
% 74.27/47.15 tff(34056,plain,
% 74.27/47.15 (v215(constB23) <=> v215(sK0_VarCurr)),
% 74.27/47.15 inference(monotonicity,[status(thm)],[34055])).
% 74.27/47.15 tff(34057,plain,
% 74.27/47.15 (v215(sK0_VarCurr) <=> v215(constB23)),
% 74.27/47.15 inference(symmetry,[status(thm)],[34056])).
% 74.27/47.15 tff(34058,plain,
% 74.27/47.15 (v215(constB23)),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[28, 34057])).
% 74.27/47.15 tff(34059,plain,
% 74.27/47.15 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB23, bitIndex2)) | v88(constB23, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB23, bitIndex2)) | v88(constB23, bitIndex2))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34060,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB23, bitIndex2)) | v88(constB23, bitIndex2))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34061,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB23, bitIndex2)) | v88(constB23, bitIndex2)),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34060, 34059])).
% 74.27/47.15 tff(34062,plain,
% 74.27/47.15 (v88(constB23, bitIndex2)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34061, 6015, 4612])).
% 74.27/47.15 tff(34063,plain,
% 74.27/47.15 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v140(constB23)) | (~v88(constB23, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB23)) | (~v88(constB23, bitIndex2)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34064,plain,
% 74.27/47.15 (((~v88(constB23, bitIndex2)) | (~v140(constB23))) <=> ((~v140(constB23)) | (~v88(constB23, bitIndex2)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34065,plain,
% 74.27/47.15 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB23, bitIndex2)) | (~v140(constB23)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v140(constB23)) | (~v88(constB23, bitIndex2))))),
% 74.27/47.15 inference(monotonicity,[status(thm)],[34064])).
% 74.27/47.15 tff(34066,plain,
% 74.27/47.15 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB23, bitIndex2)) | (~v140(constB23)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB23)) | (~v88(constB23, bitIndex2)))),
% 74.27/47.15 inference(transitivity,[status(thm)],[34065, 34063])).
% 74.27/47.15 tff(34067,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB23, bitIndex2)) | (~v140(constB23)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34068,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v140(constB23)) | (~v88(constB23, bitIndex2))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34067, 34066])).
% 74.27/47.15 tff(34069,plain,
% 74.27/47.15 (~v140(constB23)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34068, 6026, 34062])).
% 74.27/47.15 tff(34070,plain,
% 74.27/47.15 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB23, bitIndex0)) | v88(constB23, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB23, bitIndex0)) | v88(constB23, bitIndex0))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34071,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB23, bitIndex0)) | v88(constB23, bitIndex0))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34072,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB23, bitIndex0)) | v88(constB23, bitIndex0)),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34071, 34070])).
% 74.27/47.15 tff(34073,plain,
% 74.27/47.15 (v88(constB23, bitIndex0)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34072, 6074, 4678])).
% 74.27/47.15 tff(34074,plain,
% 74.27/47.15 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB23, bitIndex0)) | (~v139(constB23)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB23, bitIndex0)) | (~v139(constB23)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34075,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB23, bitIndex0)) | (~v139(constB23)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34076,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB23, bitIndex0)) | (~v139(constB23))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34075, 34074])).
% 74.27/47.15 tff(34077,plain,
% 74.27/47.15 (~v139(constB23)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34076, 6085, 34073])).
% 74.27/47.15 tff(34078,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | ((~v200(constB23)) | v139(constB23) | v140(constB23))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (~v200(constB23)) | v139(constB23) | v140(constB23))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34079,plain,
% 74.27/47.15 ((v140(constB23) | v139(constB23) | (~v200(constB23))) <=> ((~v200(constB23)) | v139(constB23) | v140(constB23))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34080,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB23) | v139(constB23) | (~v200(constB23)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | ((~v200(constB23)) | v139(constB23) | v140(constB23)))),
% 74.27/47.15 inference(monotonicity,[status(thm)],[34079])).
% 74.27/47.15 tff(34081,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB23) | v139(constB23) | (~v200(constB23)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (~v200(constB23)) | v139(constB23) | v140(constB23))),
% 74.27/47.15 inference(transitivity,[status(thm)],[34080, 34078])).
% 74.27/47.15 tff(34082,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB23) | v139(constB23) | (~v200(constB23)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34083,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (~v200(constB23)) | v139(constB23) | v140(constB23)),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34082, 34081])).
% 74.27/47.15 tff(34084,plain,
% 74.27/47.15 ((~v200(constB23)) | v140(constB23)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34083, 6102, 34077])).
% 74.27/47.15 tff(34085,plain,
% 74.27/47.15 (~v200(constB23)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34084, 34069])).
% 74.27/47.15 tff(34086,plain,
% 74.27/47.15 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB23)) | (~v88(constB23, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB23)) | (~v88(constB23, bitIndex2)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34087,plain,
% 74.27/47.15 (((~v88(constB23, bitIndex2)) | (~v141(constB23))) <=> ((~v141(constB23)) | (~v88(constB23, bitIndex2)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34088,plain,
% 74.27/47.15 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB23, bitIndex2)) | (~v141(constB23)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB23)) | (~v88(constB23, bitIndex2))))),
% 74.27/47.15 inference(monotonicity,[status(thm)],[34087])).
% 74.27/47.15 tff(34089,plain,
% 74.27/47.15 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB23, bitIndex2)) | (~v141(constB23)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB23)) | (~v88(constB23, bitIndex2)))),
% 74.27/47.15 inference(transitivity,[status(thm)],[34088, 34086])).
% 74.27/47.15 tff(34090,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB23, bitIndex2)) | (~v141(constB23)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34091,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB23)) | (~v88(constB23, bitIndex2))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34090, 34089])).
% 74.27/47.15 tff(34092,plain,
% 74.27/47.15 (~v141(constB23)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34091, 6116, 34062])).
% 74.27/47.15 tff(34093,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB23) | v200(constB23) | (~v199(constB23)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB23) | v200(constB23) | (~v199(constB23)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34094,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB23) | v200(constB23) | (~v199(constB23)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34095,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB23) | v200(constB23) | (~v199(constB23))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34094, 34093])).
% 74.27/47.15 tff(34096,plain,
% 74.27/47.15 (~v199(constB23)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34095, 6133, 34092, 34085])).
% 74.27/47.15 tff(34097,plain,
% 74.27/47.15 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB23, bitIndex0)) | (~v143(constB23)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB23, bitIndex0)) | (~v143(constB23)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34098,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB23, bitIndex0)) | (~v143(constB23)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34099,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB23, bitIndex0)) | (~v143(constB23))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34098, 34097])).
% 74.27/47.15 tff(34100,plain,
% 74.27/47.15 (~v143(constB23)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34099, 6144, 34073])).
% 74.27/47.15 tff(34101,plain,
% 74.27/47.15 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB23, bitIndex0)) | (~v144(constB23)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB23, bitIndex0)) | (~v144(constB23)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34102,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB23, bitIndex0)) | (~v144(constB23)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34103,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB23, bitIndex0)) | (~v144(constB23))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34102, 34101])).
% 74.27/47.15 tff(34104,plain,
% 74.27/47.15 (~v144(constB23)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34103, 6158, 34073])).
% 74.27/47.15 tff(34105,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB23) | v144(constB23) | (~v142(constB23)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB23) | v144(constB23) | (~v142(constB23)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34106,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB23) | v144(constB23) | (~v142(constB23)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34107,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB23) | v144(constB23) | (~v142(constB23))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34106, 34105])).
% 74.27/47.15 tff(34108,plain,
% 74.27/47.15 (~v142(constB23)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34107, 6175, 34104, 34100])).
% 74.27/47.15 tff(34109,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB23) | v199(constB23) | (~v183(constB23)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB23) | v199(constB23) | (~v183(constB23)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34110,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB23) | v199(constB23) | (~v183(constB23)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34111,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB23) | v199(constB23) | (~v183(constB23))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34110, 34109])).
% 74.27/47.15 tff(34112,plain,
% 74.27/47.15 (v199(constB23) | (~v183(constB23))),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34111, 6189, 34108])).
% 74.27/47.15 tff(34113,plain,
% 74.27/47.15 (~v183(constB23)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34112, 34096])).
% 74.27/47.15 tff(34114,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB23, bitIndex1) | (~v88(constB23, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB23, bitIndex1) | (~v88(constB23, bitIndex1)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34115,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB23, bitIndex1) | (~v88(constB23, bitIndex1)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34116,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB23, bitIndex1) | (~v88(constB23, bitIndex1))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34115, 34114])).
% 74.27/47.15 tff(34117,plain,
% 74.27/47.15 (~v88(constB23, bitIndex1)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34116, 6234, 4581])).
% 74.27/47.15 tff(34118,plain,
% 74.27/47.15 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)) | v147(constB23) | (~v88(constB23, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)) | v147(constB23) | (~v88(constB23, bitIndex2)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34119,plain,
% 74.27/47.15 (((~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)) | v147(constB23)) <=> (v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)) | v147(constB23) | (~v88(constB23, bitIndex2)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34120,plain,
% 74.27/47.15 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)) | v147(constB23))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)) | v147(constB23) | (~v88(constB23, bitIndex2))))),
% 74.27/47.15 inference(monotonicity,[status(thm)],[34119])).
% 74.27/47.15 tff(34121,plain,
% 74.27/47.15 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)) | v147(constB23))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)) | v147(constB23) | (~v88(constB23, bitIndex2)))),
% 74.27/47.15 inference(transitivity,[status(thm)],[34120, 34118])).
% 74.27/47.15 tff(34122,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB23, bitIndex2)) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)) | v147(constB23))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34123,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB23, bitIndex1) | (~v88(constB23, bitIndex0)) | v147(constB23) | (~v88(constB23, bitIndex2))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34122, 34121])).
% 74.27/47.15 tff(34124,plain,
% 74.27/47.15 (v88(constB23, bitIndex1) | v147(constB23) | (~v88(constB23, bitIndex2))),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34123, 6248, 34073])).
% 74.27/47.15 tff(34125,plain,
% 74.27/47.15 (v147(constB23)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34124, 34117, 34062])).
% 74.27/47.15 tff(34126,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB23) | (~v147(constB23)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB23) | (~v147(constB23)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34127,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB23) | (~v147(constB23)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34128,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB23) | (~v147(constB23))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34127, 34126])).
% 74.27/47.15 tff(34129,plain,
% 74.27/47.15 (v145(constB23)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34128, 6262, 34125])).
% 74.27/47.15 tff(34130,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB23) | (~v145(constB23)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB23) | (~v145(constB23)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34131,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB23) | (~v145(constB23)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34132,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB23) | (~v145(constB23))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34131, 34130])).
% 74.27/47.15 tff(34133,plain,
% 74.27/47.15 (v197(constB23)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34132, 6273, 34129])).
% 74.27/47.15 tff(34134,plain,
% 74.27/47.15 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB23) | (~v197(constB23)) | v183(constB23))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB23) | (~v197(constB23)) | v183(constB23))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34135,plain,
% 74.27/47.15 (((~v197(constB23)) | v183(constB23) | v228(constB23)) <=> (v228(constB23) | (~v197(constB23)) | v183(constB23))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34136,plain,
% 74.27/47.15 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB23)) | v183(constB23) | v228(constB23))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB23) | (~v197(constB23)) | v183(constB23)))),
% 74.27/47.15 inference(monotonicity,[status(thm)],[34135])).
% 74.27/47.15 tff(34137,plain,
% 74.27/47.15 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB23)) | v183(constB23) | v228(constB23))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB23) | (~v197(constB23)) | v183(constB23))),
% 74.27/47.15 inference(transitivity,[status(thm)],[34136, 34134])).
% 74.27/47.15 tff(34138,plain,
% 74.27/47.15 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB23)) | v183(constB23) | v228(constB23))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34139,plain,
% 74.27/47.15 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB23) | (~v197(constB23)) | v183(constB23)),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34138, 34137])).
% 74.27/47.15 tff(34140,plain,
% 74.27/47.15 (v228(constB23)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34139, 6287, 34133, 34113])).
% 74.27/47.15 tff(34141,plain,
% 74.27/47.15 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB23)) | (~v223(constB23, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB23)) | (~v223(constB23, bitIndex1)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34142,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB23)) | (~v223(constB23, bitIndex1)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34143,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB23)) | (~v223(constB23, bitIndex1))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34142, 34141])).
% 74.27/47.15 tff(34144,plain,
% 74.27/47.15 (~v223(constB23, bitIndex1)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34143, 6301, 34140])).
% 74.27/47.15 tff(34145,plain,
% 74.27/47.15 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB23)) | v223(constB23, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB23)) | v223(constB23, bitIndex1))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34146,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB23)) | v223(constB23, bitIndex1))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34147,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB23)) | v223(constB23, bitIndex1)),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34146, 34145])).
% 74.27/47.15 tff(34148,plain,
% 74.27/47.15 (~v222(constB23)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34147, 6315, 34144])).
% 74.27/47.15 tff(34149,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB23) | v200(constB23) | (~v166(constB23)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB23) | v200(constB23) | (~v166(constB23)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34150,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB23) | v200(constB23) | (~v166(constB23)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34151,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB23) | v200(constB23) | (~v166(constB23))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34150, 34149])).
% 74.27/47.15 tff(34152,plain,
% 74.27/47.15 (~v166(constB23)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34151, 6329, 34092, 34085])).
% 74.27/47.15 tff(34153,plain,
% 74.27/47.15 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB23) | (~v197(constB23)) | v166(constB23))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB23) | (~v197(constB23)) | v166(constB23))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34154,plain,
% 74.27/47.15 (((~v197(constB23)) | v166(constB23) | v241(constB23)) <=> (v241(constB23) | (~v197(constB23)) | v166(constB23))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34155,plain,
% 74.27/47.15 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB23)) | v166(constB23) | v241(constB23))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB23) | (~v197(constB23)) | v166(constB23)))),
% 74.27/47.15 inference(monotonicity,[status(thm)],[34154])).
% 74.27/47.15 tff(34156,plain,
% 74.27/47.15 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB23)) | v166(constB23) | v241(constB23))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB23) | (~v197(constB23)) | v166(constB23))),
% 74.27/47.15 inference(transitivity,[status(thm)],[34155, 34153])).
% 74.27/47.15 tff(34157,plain,
% 74.27/47.15 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB23)) | v166(constB23) | v241(constB23))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34158,plain,
% 74.27/47.15 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB23) | (~v197(constB23)) | v166(constB23)),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34157, 34156])).
% 74.27/47.15 tff(34159,plain,
% 74.27/47.15 (v241(constB23)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34158, 6343, 34133, 34152])).
% 74.27/47.15 tff(34160,plain,
% 74.27/47.15 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB23)) | (~v223(constB23, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB23)) | (~v223(constB23, bitIndex2)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34161,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB23)) | (~v223(constB23, bitIndex2)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34162,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB23)) | (~v223(constB23, bitIndex2))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34161, 34160])).
% 74.27/47.15 tff(34163,plain,
% 74.27/47.15 (~v223(constB23, bitIndex2)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34162, 6357, 34159])).
% 74.27/47.15 tff(34164,plain,
% 74.27/47.15 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB23)) | v223(constB23, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB23)) | v223(constB23, bitIndex2))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34165,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB23)) | v223(constB23, bitIndex2))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34166,plain,
% 74.27/47.15 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB23)) | v223(constB23, bitIndex2)),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34165, 34164])).
% 74.27/47.15 tff(34167,plain,
% 74.27/47.15 (~v224(constB23)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34166, 6371, 34163])).
% 74.27/47.15 tff(34168,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB23) | v224(constB23) | (~v236(constB23)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB23) | v224(constB23) | (~v236(constB23)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34169,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB23) | v224(constB23) | (~v236(constB23)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34170,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB23) | v224(constB23) | (~v236(constB23))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34169, 34168])).
% 74.27/47.15 tff(34171,plain,
% 74.27/47.15 (~v236(constB23)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34170, 6385, 34167, 34148])).
% 74.27/47.15 tff(34172,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB23) | (~v232(constB23)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB23) | (~v232(constB23)))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34173,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB23) | (~v232(constB23)))),
% 74.27/47.15 inference(quant_inst,[status(thm)],[])).
% 74.27/47.15 tff(34174,plain,
% 74.27/47.15 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB23) | (~v232(constB23))),
% 74.27/47.15 inference(modus_ponens,[status(thm)],[34173, 34172])).
% 74.27/47.15 tff(34175,plain,
% 74.27/47.15 (~v232(constB23)),
% 74.27/47.15 inference(unit_resolution,[status(thm)],[34174, 6396, 34171])).
% 74.27/47.15 tff(34176,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB23)) | v139(constB23) | v140(constB23))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB23)) | v139(constB23) | v140(constB23))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34177,plain,
% 74.27/47.15 ((v140(constB23) | v139(constB23) | (~v148(constB23))) <=> ((~v148(constB23)) | v139(constB23) | v140(constB23))),
% 74.27/47.15 inference(rewrite,[status(thm)],[])).
% 74.27/47.15 tff(34178,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB23) | v139(constB23) | (~v148(constB23)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB23)) | v139(constB23) | v140(constB23)))),
% 74.27/47.15 inference(monotonicity,[status(thm)],[34177])).
% 74.27/47.15 tff(34179,plain,
% 74.27/47.15 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB23) | v139(constB23) | (~v148(constB23)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB23)) | v139(constB23) | v140(constB23))),
% 74.27/47.16 inference(transitivity,[status(thm)],[34178, 34176])).
% 74.27/47.16 tff(34180,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB23) | v139(constB23) | (~v148(constB23)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34181,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB23)) | v139(constB23) | v140(constB23)),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34180, 34179])).
% 74.27/47.16 tff(34182,plain,
% 74.27/47.16 ((~v148(constB23)) | v140(constB23)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34181, 6410, 34077])).
% 74.27/47.16 tff(34183,plain,
% 74.27/47.16 (~v148(constB23)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34182, 34069])).
% 74.27/47.16 tff(34184,plain,
% 74.27/47.16 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB23) | v148(constB23) | (~v197(constB23)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB23) | v148(constB23) | (~v197(constB23)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34185,plain,
% 74.27/47.16 ((v148(constB23) | (~v197(constB23)) | v252(constB23)) <=> (v252(constB23) | v148(constB23) | (~v197(constB23)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34186,plain,
% 74.27/47.16 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB23) | (~v197(constB23)) | v252(constB23))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB23) | v148(constB23) | (~v197(constB23))))),
% 74.27/47.16 inference(monotonicity,[status(thm)],[34185])).
% 74.27/47.16 tff(34187,plain,
% 74.27/47.16 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB23) | (~v197(constB23)) | v252(constB23))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB23) | v148(constB23) | (~v197(constB23)))),
% 74.27/47.16 inference(transitivity,[status(thm)],[34186, 34184])).
% 74.27/47.16 tff(34188,plain,
% 74.27/47.16 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB23) | (~v197(constB23)) | v252(constB23))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34189,plain,
% 74.27/47.16 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB23) | v148(constB23) | (~v197(constB23))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34188, 34187])).
% 74.27/47.16 tff(34190,plain,
% 74.27/47.16 (v252(constB23)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34189, 6427, 34133, 34183])).
% 74.27/47.16 tff(34191,plain,
% 74.27/47.16 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB23)) | (~v223(constB23, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB23)) | (~v223(constB23, bitIndex3)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34192,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB23)) | (~v223(constB23, bitIndex3)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34193,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB23)) | (~v223(constB23, bitIndex3))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34192, 34191])).
% 74.27/47.16 tff(34194,plain,
% 74.27/47.16 (~v223(constB23, bitIndex3)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34193, 6441, 34190])).
% 74.27/47.16 tff(34195,plain,
% 74.27/47.16 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB23)) | v223(constB23, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB23)) | v223(constB23, bitIndex3))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34196,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB23)) | v223(constB23, bitIndex3))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34197,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB23)) | v223(constB23, bitIndex3)),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34196, 34195])).
% 74.27/47.16 tff(34198,plain,
% 74.27/47.16 (~v237(constB23)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34197, 6455, 34194])).
% 74.27/47.16 tff(34199,plain,
% 74.27/47.16 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB23) | (~v248(constB23)) | v232(constB23))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB23) | (~v248(constB23)) | v232(constB23))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34200,plain,
% 74.27/47.16 ((v237(constB23) | v232(constB23) | (~v248(constB23))) <=> (v237(constB23) | (~v248(constB23)) | v232(constB23))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34201,plain,
% 74.27/47.16 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB23) | v232(constB23) | (~v248(constB23)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB23) | (~v248(constB23)) | v232(constB23)))),
% 74.27/47.16 inference(monotonicity,[status(thm)],[34200])).
% 74.27/47.16 tff(34202,plain,
% 74.27/47.16 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB23) | v232(constB23) | (~v248(constB23)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB23) | (~v248(constB23)) | v232(constB23))),
% 74.27/47.16 inference(transitivity,[status(thm)],[34201, 34199])).
% 74.27/47.16 tff(34203,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB23) | v232(constB23) | (~v248(constB23)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34204,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB23) | (~v248(constB23)) | v232(constB23)),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34203, 34202])).
% 74.27/47.16 tff(34205,plain,
% 74.27/47.16 ((~v248(constB23)) | v232(constB23)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34204, 6469, 34198])).
% 74.27/47.16 tff(34206,plain,
% 74.27/47.16 (~v248(constB23)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34205, 34175])).
% 74.27/47.16 tff(34207,plain,
% 74.27/47.16 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB23) | (~v244(constB23)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB23) | (~v244(constB23)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34208,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB23) | (~v244(constB23)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34209,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB23) | (~v244(constB23))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34208, 34207])).
% 74.27/47.16 tff(34210,plain,
% 74.27/47.16 (~v244(constB23)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34209, 6484, 34206])).
% 74.27/47.16 tff(34211,plain,
% 74.27/47.16 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB23) | (~v216(constB23, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB23) | (~v216(constB23, bitIndex1)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34212,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB23) | (~v216(constB23, bitIndex1)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34213,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB23) | (~v216(constB23, bitIndex1))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34212, 34211])).
% 74.27/47.16 tff(34214,plain,
% 74.27/47.16 (~v216(constB23, bitIndex1)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34213, 6495, 34210])).
% 74.27/47.16 tff(34215,plain,
% 74.27/47.16 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB23, bitIndex1) | (~v254(constB23)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB23, bitIndex1) | (~v254(constB23)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34216,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB23, bitIndex1) | (~v254(constB23)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34217,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB23, bitIndex1) | (~v254(constB23))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34216, 34215])).
% 74.27/47.16 tff(34218,plain,
% 74.27/47.16 (~v254(constB23)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34217, 6506, 34214])).
% 74.27/47.16 tff(34219,plain,
% 74.27/47.16 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB23) | (~v221(constB23)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB23) | (~v221(constB23)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34220,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB23) | (~v221(constB23)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34221,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB23) | (~v221(constB23))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34220, 34219])).
% 74.27/47.16 tff(34222,plain,
% 74.27/47.16 (~v221(constB23)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34221, 6517, 34167])).
% 74.27/47.16 tff(34223,plain,
% 74.27/47.16 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB23) | (~v231(constB23)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB23) | (~v231(constB23)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34224,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB23) | (~v231(constB23)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34225,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB23) | (~v231(constB23))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34224, 34223])).
% 74.27/47.16 tff(34226,plain,
% 74.27/47.16 (~v231(constB23)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34225, 6528, 34198])).
% 74.27/47.16 tff(34227,plain,
% 74.27/47.16 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB23) | v231(constB23) | (~v243(constB23)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB23) | v231(constB23) | (~v243(constB23)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34228,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB23) | v231(constB23) | (~v243(constB23)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34229,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB23) | v231(constB23) | (~v243(constB23))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34228, 34227])).
% 74.27/47.16 tff(34230,plain,
% 74.27/47.16 (v221(constB23) | (~v243(constB23))),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34229, 6542, 34226])).
% 74.27/47.16 tff(34231,plain,
% 74.27/47.16 (~v243(constB23)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34230, 34222])).
% 74.27/47.16 tff(34232,plain,
% 74.27/47.16 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB23) | v255(constB23))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB23) | v255(constB23))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34233,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB23) | v255(constB23))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34234,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB23) | v255(constB23)),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34233, 34232])).
% 74.27/47.16 tff(34235,plain,
% 74.27/47.16 (v255(constB23)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34234, 6553, 34231])).
% 74.27/47.16 tff(34236,plain,
% 74.27/47.16 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB23)) | (~v216(constB23, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB23)) | (~v216(constB23, bitIndex2)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34237,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB23)) | (~v216(constB23, bitIndex2)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34238,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB23)) | (~v216(constB23, bitIndex2))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34237, 34236])).
% 74.27/47.16 tff(34239,plain,
% 74.27/47.16 (~v216(constB23, bitIndex2)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34238, 6564, 34235])).
% 74.27/47.16 tff(34240,plain,
% 74.27/47.16 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB23, bitIndex2) | v254(constB23) | (~v215(constB23)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB23, bitIndex2) | v254(constB23) | (~v215(constB23)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34241,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB23, bitIndex2) | v254(constB23) | (~v215(constB23)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34242,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB23, bitIndex2) | v254(constB23) | (~v215(constB23))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34241, 34240])).
% 74.27/47.16 tff(34243,plain,
% 74.27/47.16 (v254(constB23) | (~v215(constB23))),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34242, 6578, 34239])).
% 74.27/47.16 tff(34244,plain,
% 74.27/47.16 (~v215(constB23)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34243, 34218])).
% 74.27/47.16 tff(34245,plain,
% 74.27/47.16 ($false),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34244, 34058])).
% 74.27/47.16 tff(34246,plain,(~(constB23 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.27/47.16 tff(34247,assumption,(constB119 = sK0_VarCurr), introduced(assumption)).
% 74.27/47.16 tff(34248,plain,
% 74.27/47.16 (v215(constB119) <=> v215(sK0_VarCurr)),
% 74.27/47.16 inference(monotonicity,[status(thm)],[34247])).
% 74.27/47.16 tff(34249,plain,
% 74.27/47.16 (v215(sK0_VarCurr) <=> v215(constB119)),
% 74.27/47.16 inference(symmetry,[status(thm)],[34248])).
% 74.27/47.16 tff(34250,plain,
% 74.27/47.16 (v215(constB119)),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[28, 34249])).
% 74.27/47.16 tff(34251,plain,
% 74.27/47.16 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB119, bitIndex2)) | v88(constB119, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB119, bitIndex2)) | v88(constB119, bitIndex2))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34252,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB119, bitIndex2)) | v88(constB119, bitIndex2))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34253,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB119, bitIndex2)) | v88(constB119, bitIndex2)),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34252, 34251])).
% 74.27/47.16 tff(34254,plain,
% 74.27/47.16 (v88(constB119, bitIndex2)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34253, 6015, 17518])).
% 74.27/47.16 tff(34255,plain,
% 74.27/47.16 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB119, bitIndex2)) | (~v140(constB119)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB119, bitIndex2)) | (~v140(constB119)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34256,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB119, bitIndex2)) | (~v140(constB119)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34257,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB119, bitIndex2)) | (~v140(constB119))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34256, 34255])).
% 74.27/47.16 tff(34258,plain,
% 74.27/47.16 (~v140(constB119)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34257, 6026, 34254])).
% 74.27/47.16 tff(34259,plain,
% 74.27/47.16 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB119, bitIndex0)) | v88(constB119, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB119, bitIndex0)) | v88(constB119, bitIndex0))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34260,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB119, bitIndex0)) | v88(constB119, bitIndex0))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34261,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB119, bitIndex0)) | v88(constB119, bitIndex0)),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34260, 34259])).
% 74.27/47.16 tff(34262,plain,
% 74.27/47.16 (v88(constB119, bitIndex0)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34261, 6074, 17583])).
% 74.27/47.16 tff(34263,plain,
% 74.27/47.16 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB119, bitIndex0)) | (~v139(constB119)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB119, bitIndex0)) | (~v139(constB119)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34264,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB119, bitIndex0)) | (~v139(constB119)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34265,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB119, bitIndex0)) | (~v139(constB119))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34264, 34263])).
% 74.27/47.16 tff(34266,plain,
% 74.27/47.16 (~v139(constB119)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34265, 6085, 34262])).
% 74.27/47.16 tff(34267,plain,
% 74.27/47.16 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB119) | v139(constB119) | (~v200(constB119)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB119) | v139(constB119) | (~v200(constB119)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34268,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB119) | v139(constB119) | (~v200(constB119)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34269,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB119) | v139(constB119) | (~v200(constB119))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34268, 34267])).
% 74.27/47.16 tff(34270,plain,
% 74.27/47.16 (~v200(constB119)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34269, 6102, 34266, 34258])).
% 74.27/47.16 tff(34271,plain,
% 74.27/47.16 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB119, bitIndex2)) | (~v141(constB119)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB119, bitIndex2)) | (~v141(constB119)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34272,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB119, bitIndex2)) | (~v141(constB119)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34273,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB119, bitIndex2)) | (~v141(constB119))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34272, 34271])).
% 74.27/47.16 tff(34274,plain,
% 74.27/47.16 (~v141(constB119)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34273, 6116, 34254])).
% 74.27/47.16 tff(34275,plain,
% 74.27/47.16 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB119) | v200(constB119) | (~v199(constB119)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB119) | v200(constB119) | (~v199(constB119)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34276,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | (v141(constB119) | v200(constB119) | (~v199(constB119)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34277,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v199(VarCurr)))) | v141(constB119) | v200(constB119) | (~v199(constB119))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34276, 34275])).
% 74.27/47.16 tff(34278,plain,
% 74.27/47.16 (~v199(constB119)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34277, 6133, 34274, 34270])).
% 74.27/47.16 tff(34279,plain,
% 74.27/47.16 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB119, bitIndex0)) | (~v143(constB119)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB119, bitIndex0)) | (~v143(constB119)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34280,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB119, bitIndex0)) | (~v143(constB119)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34281,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB119, bitIndex0)) | (~v143(constB119))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34280, 34279])).
% 74.27/47.16 tff(34282,plain,
% 74.27/47.16 (~v143(constB119)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34281, 6144, 34262])).
% 74.27/47.16 tff(34283,plain,
% 74.27/47.16 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB119, bitIndex0)) | (~v144(constB119)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB119, bitIndex0)) | (~v144(constB119)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34284,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB119, bitIndex0)) | (~v144(constB119)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34285,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v88(constB119, bitIndex0)) | (~v144(constB119))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34284, 34283])).
% 74.27/47.16 tff(34286,plain,
% 74.27/47.16 (~v144(constB119)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34285, 6158, 34262])).
% 74.27/47.16 tff(34287,plain,
% 74.27/47.16 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB119) | v144(constB119) | (~v142(constB119)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB119) | v144(constB119) | (~v142(constB119)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34288,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB119) | v144(constB119) | (~v142(constB119)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34289,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB119) | v144(constB119) | (~v142(constB119))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34288, 34287])).
% 74.27/47.16 tff(34290,plain,
% 74.27/47.16 (~v142(constB119)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34289, 6175, 34286, 34282])).
% 74.27/47.16 tff(34291,plain,
% 74.27/47.16 (((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB119) | v199(constB119) | (~v183(constB119)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB119) | v199(constB119) | (~v183(constB119)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34292,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | (v142(constB119) | v199(constB119) | (~v183(constB119)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34293,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v183(VarCurr)))) | v142(constB119) | v199(constB119) | (~v183(constB119))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34292, 34291])).
% 74.27/47.16 tff(34294,plain,
% 74.27/47.16 (~v183(constB119)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34293, 6189, 34290, 34278])).
% 74.27/47.16 tff(34295,plain,
% 74.27/47.16 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB119, bitIndex1) | (~v88(constB119, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB119, bitIndex1) | (~v88(constB119, bitIndex1)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34296,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB119, bitIndex1) | (~v88(constB119, bitIndex1)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34297,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB119, bitIndex1) | (~v88(constB119, bitIndex1))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34296, 34295])).
% 74.27/47.16 tff(34298,plain,
% 74.27/47.16 (~v88(constB119, bitIndex1)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34297, 6234, 17552])).
% 74.27/47.16 tff(34299,plain,
% 74.27/47.16 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB119, bitIndex1) | (~v88(constB119, bitIndex2)) | (~v88(constB119, bitIndex0)) | v147(constB119))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex2)) | (~v88(constB119, bitIndex0)) | v147(constB119))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34300,plain,
% 74.27/47.16 (((~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)) | v147(constB119)) <=> (v88(constB119, bitIndex1) | (~v88(constB119, bitIndex2)) | (~v88(constB119, bitIndex0)) | v147(constB119))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34301,plain,
% 74.27/47.16 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)) | v147(constB119))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | (v88(constB119, bitIndex1) | (~v88(constB119, bitIndex2)) | (~v88(constB119, bitIndex0)) | v147(constB119)))),
% 74.27/47.16 inference(monotonicity,[status(thm)],[34300])).
% 74.27/47.16 tff(34302,plain,
% 74.27/47.16 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)) | v147(constB119))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex2)) | (~v88(constB119, bitIndex0)) | v147(constB119))),
% 74.27/47.16 inference(transitivity,[status(thm)],[34301, 34299])).
% 74.27/47.16 tff(34303,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | ((~v88(constB119, bitIndex2)) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex0)) | v147(constB119))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34304,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v147(VarCurr))) | v88(constB119, bitIndex1) | (~v88(constB119, bitIndex2)) | (~v88(constB119, bitIndex0)) | v147(constB119)),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34303, 34302])).
% 74.27/47.16 tff(34305,plain,
% 74.27/47.16 (v147(constB119)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34304, 6248, 34262, 34254, 34298])).
% 74.27/47.16 tff(34306,plain,
% 74.27/47.16 (((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB119) | (~v147(constB119)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB119) | (~v147(constB119)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34307,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | (v145(constB119) | (~v147(constB119)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34308,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v145(VarCurr) | (~v147(VarCurr)))) | v145(constB119) | (~v147(constB119))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34307, 34306])).
% 74.27/47.16 tff(34309,plain,
% 74.27/47.16 (v145(constB119)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34308, 6262, 34305])).
% 74.27/47.16 tff(34310,plain,
% 74.27/47.16 (((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB119) | (~v145(constB119)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB119) | (~v145(constB119)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34311,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | (v197(constB119) | (~v145(constB119)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34312,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v197(VarCurr) | (~v145(VarCurr)))) | v197(constB119) | (~v145(constB119))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34311, 34310])).
% 74.27/47.16 tff(34313,plain,
% 74.27/47.16 (v197(constB119)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34312, 6273, 34309])).
% 74.27/47.16 tff(34314,plain,
% 74.27/47.16 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB119) | v183(constB119) | (~v197(constB119)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB119) | v183(constB119) | (~v197(constB119)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34315,plain,
% 74.27/47.16 (((~v197(constB119)) | v183(constB119) | v228(constB119)) <=> (v228(constB119) | v183(constB119) | (~v197(constB119)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34316,plain,
% 74.27/47.16 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB119)) | v183(constB119) | v228(constB119))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB119) | v183(constB119) | (~v197(constB119))))),
% 74.27/47.16 inference(monotonicity,[status(thm)],[34315])).
% 74.27/47.16 tff(34317,plain,
% 74.27/47.16 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB119)) | v183(constB119) | v228(constB119))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB119) | v183(constB119) | (~v197(constB119)))),
% 74.27/47.16 inference(transitivity,[status(thm)],[34316, 34314])).
% 74.27/47.16 tff(34318,plain,
% 74.27/47.16 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB119)) | v183(constB119) | v228(constB119))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34319,plain,
% 74.27/47.16 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB119) | v183(constB119) | (~v197(constB119))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34318, 34317])).
% 74.27/47.16 tff(34320,plain,
% 74.27/47.16 (v228(constB119)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34319, 6287, 34313, 34294])).
% 74.27/47.16 tff(34321,plain,
% 74.27/47.16 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB119)) | (~v223(constB119, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB119)) | (~v223(constB119, bitIndex1)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34322,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB119)) | (~v223(constB119, bitIndex1)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34323,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB119)) | (~v223(constB119, bitIndex1))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34322, 34321])).
% 74.27/47.16 tff(34324,plain,
% 74.27/47.16 (~v223(constB119, bitIndex1)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34323, 6301, 34320])).
% 74.27/47.16 tff(34325,plain,
% 74.27/47.16 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB119)) | v223(constB119, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB119)) | v223(constB119, bitIndex1))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34326,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB119)) | v223(constB119, bitIndex1))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34327,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB119)) | v223(constB119, bitIndex1)),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34326, 34325])).
% 74.27/47.16 tff(34328,plain,
% 74.27/47.16 (~v222(constB119)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34327, 6315, 34324])).
% 74.27/47.16 tff(34329,plain,
% 74.27/47.16 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB119) | v200(constB119) | (~v166(constB119)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB119) | v200(constB119) | (~v166(constB119)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34330,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB119) | v200(constB119) | (~v166(constB119)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34331,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB119) | v200(constB119) | (~v166(constB119))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34330, 34329])).
% 74.27/47.16 tff(34332,plain,
% 74.27/47.16 (~v166(constB119)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34331, 6329, 34274, 34270])).
% 74.27/47.16 tff(34333,plain,
% 74.27/47.16 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB119) | v166(constB119) | (~v197(constB119)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB119) | v166(constB119) | (~v197(constB119)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34334,plain,
% 74.27/47.16 (((~v197(constB119)) | v166(constB119) | v241(constB119)) <=> (v241(constB119) | v166(constB119) | (~v197(constB119)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34335,plain,
% 74.27/47.16 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB119)) | v166(constB119) | v241(constB119))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB119) | v166(constB119) | (~v197(constB119))))),
% 74.27/47.16 inference(monotonicity,[status(thm)],[34334])).
% 74.27/47.16 tff(34336,plain,
% 74.27/47.16 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB119)) | v166(constB119) | v241(constB119))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB119) | v166(constB119) | (~v197(constB119)))),
% 74.27/47.16 inference(transitivity,[status(thm)],[34335, 34333])).
% 74.27/47.16 tff(34337,plain,
% 74.27/47.16 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB119)) | v166(constB119) | v241(constB119))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34338,plain,
% 74.27/47.16 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB119) | v166(constB119) | (~v197(constB119))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34337, 34336])).
% 74.27/47.16 tff(34339,plain,
% 74.27/47.16 (v241(constB119)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34338, 6343, 34313, 34332])).
% 74.27/47.16 tff(34340,plain,
% 74.27/47.16 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB119)) | (~v223(constB119, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB119)) | (~v223(constB119, bitIndex2)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34341,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB119)) | (~v223(constB119, bitIndex2)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34342,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB119)) | (~v223(constB119, bitIndex2))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34341, 34340])).
% 74.27/47.16 tff(34343,plain,
% 74.27/47.16 (~v223(constB119, bitIndex2)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34342, 6357, 34339])).
% 74.27/47.16 tff(34344,plain,
% 74.27/47.16 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB119)) | v223(constB119, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB119)) | v223(constB119, bitIndex2))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34345,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB119)) | v223(constB119, bitIndex2))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34346,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB119)) | v223(constB119, bitIndex2)),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34345, 34344])).
% 74.27/47.16 tff(34347,plain,
% 74.27/47.16 (~v224(constB119)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34346, 6371, 34343])).
% 74.27/47.16 tff(34348,plain,
% 74.27/47.16 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB119) | v224(constB119) | (~v236(constB119)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB119) | v224(constB119) | (~v236(constB119)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34349,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB119) | v224(constB119) | (~v236(constB119)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34350,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB119) | v224(constB119) | (~v236(constB119))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34349, 34348])).
% 74.27/47.16 tff(34351,plain,
% 74.27/47.16 (~v236(constB119)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34350, 6385, 34347, 34328])).
% 74.27/47.16 tff(34352,plain,
% 74.27/47.16 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB119) | (~v232(constB119)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB119) | (~v232(constB119)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34353,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB119) | (~v232(constB119)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34354,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB119) | (~v232(constB119))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34353, 34352])).
% 74.27/47.16 tff(34355,plain,
% 74.27/47.16 (~v232(constB119)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34354, 6396, 34351])).
% 74.27/47.16 tff(34356,plain,
% 74.27/47.16 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB119) | v139(constB119) | (~v148(constB119)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB119) | v139(constB119) | (~v148(constB119)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34357,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB119) | v139(constB119) | (~v148(constB119)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34358,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB119) | v139(constB119) | (~v148(constB119))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34357, 34356])).
% 74.27/47.16 tff(34359,plain,
% 74.27/47.16 (~v148(constB119)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34358, 6410, 34266, 34258])).
% 74.27/47.16 tff(34360,plain,
% 74.27/47.16 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB119) | v148(constB119) | (~v197(constB119)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB119) | v148(constB119) | (~v197(constB119)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34361,plain,
% 74.27/47.16 ((v148(constB119) | (~v197(constB119)) | v252(constB119)) <=> (v252(constB119) | v148(constB119) | (~v197(constB119)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34362,plain,
% 74.27/47.16 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB119) | (~v197(constB119)) | v252(constB119))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB119) | v148(constB119) | (~v197(constB119))))),
% 74.27/47.16 inference(monotonicity,[status(thm)],[34361])).
% 74.27/47.16 tff(34363,plain,
% 74.27/47.16 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB119) | (~v197(constB119)) | v252(constB119))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB119) | v148(constB119) | (~v197(constB119)))),
% 74.27/47.16 inference(transitivity,[status(thm)],[34362, 34360])).
% 74.27/47.16 tff(34364,plain,
% 74.27/47.16 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB119) | (~v197(constB119)) | v252(constB119))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34365,plain,
% 74.27/47.16 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB119) | v148(constB119) | (~v197(constB119))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34364, 34363])).
% 74.27/47.16 tff(34366,plain,
% 74.27/47.16 (v252(constB119)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34365, 6427, 34313, 34359])).
% 74.27/47.16 tff(34367,plain,
% 74.27/47.16 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB119)) | (~v223(constB119, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB119)) | (~v223(constB119, bitIndex3)))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34368,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB119)) | (~v223(constB119, bitIndex3)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34369,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB119)) | (~v223(constB119, bitIndex3))),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34368, 34367])).
% 74.27/47.16 tff(34370,plain,
% 74.27/47.16 (~v223(constB119, bitIndex3)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34369, 6441, 34366])).
% 74.27/47.16 tff(34371,plain,
% 74.27/47.16 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB119)) | v223(constB119, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB119)) | v223(constB119, bitIndex3))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34372,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB119)) | v223(constB119, bitIndex3))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34373,plain,
% 74.27/47.16 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB119)) | v223(constB119, bitIndex3)),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34372, 34371])).
% 74.27/47.16 tff(34374,plain,
% 74.27/47.16 (~v237(constB119)),
% 74.27/47.16 inference(unit_resolution,[status(thm)],[34373, 6455, 34370])).
% 74.27/47.16 tff(34375,plain,
% 74.27/47.16 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB119) | (~v248(constB119)) | v232(constB119))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB119) | (~v248(constB119)) | v232(constB119))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34376,plain,
% 74.27/47.16 ((v237(constB119) | v232(constB119) | (~v248(constB119))) <=> (v237(constB119) | (~v248(constB119)) | v232(constB119))),
% 74.27/47.16 inference(rewrite,[status(thm)],[])).
% 74.27/47.16 tff(34377,plain,
% 74.27/47.16 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB119) | v232(constB119) | (~v248(constB119)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB119) | (~v248(constB119)) | v232(constB119)))),
% 74.27/47.16 inference(monotonicity,[status(thm)],[34376])).
% 74.27/47.16 tff(34378,plain,
% 74.27/47.16 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB119) | v232(constB119) | (~v248(constB119)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB119) | (~v248(constB119)) | v232(constB119))),
% 74.27/47.16 inference(transitivity,[status(thm)],[34377, 34375])).
% 74.27/47.16 tff(34379,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB119) | v232(constB119) | (~v248(constB119)))),
% 74.27/47.16 inference(quant_inst,[status(thm)],[])).
% 74.27/47.16 tff(34380,plain,
% 74.27/47.16 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB119) | (~v248(constB119)) | v232(constB119)),
% 74.27/47.16 inference(modus_ponens,[status(thm)],[34379, 34378])).
% 74.27/47.16 tff(34381,plain,
% 74.27/47.16 ((~v248(constB119)) | v232(constB119)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34380, 6469, 34374])).
% 74.27/47.17 tff(34382,plain,
% 74.27/47.17 (~v248(constB119)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34381, 34355])).
% 74.27/47.17 tff(34383,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB119) | (~v244(constB119)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB119) | (~v244(constB119)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34384,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB119) | (~v244(constB119)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34385,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB119) | (~v244(constB119))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34384, 34383])).
% 74.27/47.17 tff(34386,plain,
% 74.27/47.17 (~v244(constB119)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34385, 6484, 34382])).
% 74.27/47.17 tff(34387,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB119) | (~v216(constB119, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB119) | (~v216(constB119, bitIndex1)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34388,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB119) | (~v216(constB119, bitIndex1)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34389,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB119) | (~v216(constB119, bitIndex1))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34388, 34387])).
% 74.27/47.17 tff(34390,plain,
% 74.27/47.17 (~v216(constB119, bitIndex1)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34389, 6495, 34386])).
% 74.27/47.17 tff(34391,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB119, bitIndex1) | (~v254(constB119)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB119, bitIndex1) | (~v254(constB119)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34392,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB119, bitIndex1) | (~v254(constB119)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34393,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB119, bitIndex1) | (~v254(constB119))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34392, 34391])).
% 74.27/47.17 tff(34394,plain,
% 74.27/47.17 (~v254(constB119)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34393, 6506, 34390])).
% 74.27/47.17 tff(34395,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB119) | (~v221(constB119)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB119) | (~v221(constB119)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34396,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB119) | (~v221(constB119)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34397,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB119) | (~v221(constB119))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34396, 34395])).
% 74.27/47.17 tff(34398,plain,
% 74.27/47.17 (~v221(constB119)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34397, 6517, 34347])).
% 74.27/47.17 tff(34399,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB119) | (~v231(constB119)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB119) | (~v231(constB119)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34400,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB119) | (~v231(constB119)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34401,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB119) | (~v231(constB119))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34400, 34399])).
% 74.27/47.17 tff(34402,plain,
% 74.27/47.17 (~v231(constB119)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34401, 6528, 34374])).
% 74.27/47.17 tff(34403,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB119) | v231(constB119) | (~v243(constB119)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB119) | v231(constB119) | (~v243(constB119)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34404,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB119) | v231(constB119) | (~v243(constB119)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34405,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB119) | v231(constB119) | (~v243(constB119))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34404, 34403])).
% 74.27/47.17 tff(34406,plain,
% 74.27/47.17 (~v243(constB119)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34405, 6542, 34402, 34398])).
% 74.27/47.17 tff(34407,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB119) | v255(constB119))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB119) | v255(constB119))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34408,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB119) | v255(constB119))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34409,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB119) | v255(constB119)),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34408, 34407])).
% 74.27/47.17 tff(34410,plain,
% 74.27/47.17 (v255(constB119)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34409, 6553, 34406])).
% 74.27/47.17 tff(34411,plain,
% 74.27/47.17 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB119)) | (~v216(constB119, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB119)) | (~v216(constB119, bitIndex2)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34412,plain,
% 74.27/47.17 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB119)) | (~v216(constB119, bitIndex2)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34413,plain,
% 74.27/47.17 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB119)) | (~v216(constB119, bitIndex2))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34412, 34411])).
% 74.27/47.17 tff(34414,plain,
% 74.27/47.17 (~v216(constB119, bitIndex2)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34413, 6564, 34410])).
% 74.27/47.17 tff(34415,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB119, bitIndex2) | v254(constB119) | (~v215(constB119)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB119, bitIndex2) | v254(constB119) | (~v215(constB119)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34416,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB119, bitIndex2) | v254(constB119) | (~v215(constB119)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34417,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB119, bitIndex2) | v254(constB119) | (~v215(constB119))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34416, 34415])).
% 74.27/47.17 tff(34418,plain,
% 74.27/47.17 (v254(constB119) | (~v215(constB119))),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34417, 6578, 34414])).
% 74.27/47.17 tff(34419,plain,
% 74.27/47.17 (~v215(constB119)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34418, 34394])).
% 74.27/47.17 tff(34420,plain,
% 74.27/47.17 ($false),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34419, 34250])).
% 74.27/47.17 tff(34421,plain,(~(constB119 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.27/47.17 tff(34422,assumption,(constB67 = sK0_VarCurr), introduced(assumption)).
% 74.27/47.17 tff(34423,plain,
% 74.27/47.17 (v215(constB67) <=> v215(sK0_VarCurr)),
% 74.27/47.17 inference(monotonicity,[status(thm)],[34422])).
% 74.27/47.17 tff(34424,plain,
% 74.27/47.17 (v215(sK0_VarCurr) <=> v215(constB67)),
% 74.27/47.17 inference(symmetry,[status(thm)],[34423])).
% 74.27/47.17 tff(34425,plain,
% 74.27/47.17 (v215(constB67)),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[28, 34424])).
% 74.27/47.17 tff(34426,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB67, bitIndex2) | (~v88(constB67, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB67, bitIndex2) | (~v88(constB67, bitIndex2)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34427,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB67, bitIndex2) | (~v88(constB67, bitIndex2)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34428,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB67, bitIndex2) | (~v88(constB67, bitIndex2))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34427, 34426])).
% 74.27/47.17 tff(34429,plain,
% 74.27/47.17 (~v88(constB67, bitIndex2)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34428, 20913, 10743])).
% 74.27/47.17 tff(34430,plain,
% 74.27/47.17 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB67, bitIndex1)) | v88(constB67, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB67, bitIndex1)) | v88(constB67, bitIndex1))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34431,plain,
% 74.27/47.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB67, bitIndex1)) | v88(constB67, bitIndex1))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34432,plain,
% 74.27/47.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB67, bitIndex1)) | v88(constB67, bitIndex1)),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34431, 34430])).
% 74.27/47.17 tff(34433,plain,
% 74.27/47.17 (v88(constB67, bitIndex1)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34432, 20927, 10774])).
% 74.27/47.17 tff(34434,plain,
% 74.27/47.17 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB67, bitIndex0)) | v88(constB67, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB67, bitIndex0)) | v88(constB67, bitIndex0))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34435,plain,
% 74.27/47.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB67, bitIndex0)) | v88(constB67, bitIndex0))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34436,plain,
% 74.27/47.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB67, bitIndex0)) | v88(constB67, bitIndex0)),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34435, 34434])).
% 74.27/47.17 tff(34437,plain,
% 74.27/47.17 (v88(constB67, bitIndex0)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34436, 6074, 10805])).
% 74.27/47.17 tff(34438,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)) | (~v88(constB67, bitIndex1)) | v141(constB67))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)) | (~v88(constB67, bitIndex1)) | v141(constB67))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34439,plain,
% 74.27/47.17 ((v88(constB67, bitIndex2) | (~v88(constB67, bitIndex1)) | (~v88(constB67, bitIndex0)) | v141(constB67)) <=> (v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)) | (~v88(constB67, bitIndex1)) | v141(constB67))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34440,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB67, bitIndex2) | (~v88(constB67, bitIndex1)) | (~v88(constB67, bitIndex0)) | v141(constB67))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)) | (~v88(constB67, bitIndex1)) | v141(constB67)))),
% 74.27/47.17 inference(monotonicity,[status(thm)],[34439])).
% 74.27/47.17 tff(34441,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB67, bitIndex2) | (~v88(constB67, bitIndex1)) | (~v88(constB67, bitIndex0)) | v141(constB67))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)) | (~v88(constB67, bitIndex1)) | v141(constB67))),
% 74.27/47.17 inference(transitivity,[status(thm)],[34440, 34438])).
% 74.27/47.17 tff(34442,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB67, bitIndex2) | (~v88(constB67, bitIndex1)) | (~v88(constB67, bitIndex0)) | v141(constB67))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34443,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)) | (~v88(constB67, bitIndex1)) | v141(constB67)),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34442, 34441])).
% 74.27/47.17 tff(34444,plain,
% 74.27/47.17 (v141(constB67)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34443, 20945, 34437, 34433, 34429])).
% 74.27/47.17 tff(34445,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB67) | (~v141(constB67)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB67) | (~v141(constB67)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34446,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB67) | (~v141(constB67)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34447,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB67) | (~v141(constB67))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34446, 34445])).
% 74.27/47.17 tff(34448,plain,
% 74.27/47.17 (v199(constB67)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34447, 20959, 34444])).
% 74.27/47.17 tff(34449,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB67) | (~v199(constB67)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB67) | (~v199(constB67)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34450,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB67) | (~v199(constB67)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34451,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB67) | (~v199(constB67))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34450, 34449])).
% 74.27/47.17 tff(34452,plain,
% 74.27/47.17 (v198(constB67)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34451, 20970, 34448])).
% 74.27/47.17 tff(34453,plain,
% 74.27/47.17 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB67)) | (~v201(constB67)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB67)) | (~v201(constB67)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34454,plain,
% 74.27/47.17 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB67)) | (~v201(constB67)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34455,plain,
% 74.27/47.17 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB67)) | (~v201(constB67))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34454, 34453])).
% 74.27/47.17 tff(34456,plain,
% 74.27/47.17 (~v201(constB67)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34455, 20984, 34452])).
% 74.27/47.17 tff(34457,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB67) | (~v198(constB67)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB67) | (~v198(constB67)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34458,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB67) | (~v198(constB67)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34459,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB67) | (~v198(constB67))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34458, 34457])).
% 74.27/47.17 tff(34460,plain,
% 74.27/47.17 (v197(constB67)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34459, 20995, 34452])).
% 74.27/47.17 tff(34461,plain,
% 74.27/47.17 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB67) | (~v197(constB67)) | v201(constB67))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB67) | (~v197(constB67)) | v201(constB67))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34462,plain,
% 74.27/47.17 (((~v197(constB67)) | v201(constB67) | v227(constB67)) <=> (v227(constB67) | (~v197(constB67)) | v201(constB67))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34463,plain,
% 74.27/47.17 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB67)) | v201(constB67) | v227(constB67))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB67) | (~v197(constB67)) | v201(constB67)))),
% 74.27/47.17 inference(monotonicity,[status(thm)],[34462])).
% 74.27/47.17 tff(34464,plain,
% 74.27/47.17 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB67)) | v201(constB67) | v227(constB67))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB67) | (~v197(constB67)) | v201(constB67))),
% 74.27/47.17 inference(transitivity,[status(thm)],[34463, 34461])).
% 74.27/47.17 tff(34465,plain,
% 74.27/47.17 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB67)) | v201(constB67) | v227(constB67))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34466,plain,
% 74.27/47.17 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB67) | (~v197(constB67)) | v201(constB67)),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34465, 34464])).
% 74.27/47.17 tff(34467,plain,
% 74.27/47.17 (v227(constB67)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34466, 21009, 34460, 34456])).
% 74.27/47.17 tff(34468,plain,
% 74.27/47.17 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB67)) | (~v223(constB67, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB67)) | (~v223(constB67, bitIndex0)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34469,plain,
% 74.27/47.17 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB67)) | (~v223(constB67, bitIndex0)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34470,plain,
% 74.27/47.17 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB67)) | (~v223(constB67, bitIndex0))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34469, 34468])).
% 74.27/47.17 tff(34471,plain,
% 74.27/47.17 (~v223(constB67, bitIndex0)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34470, 21023, 34467])).
% 74.27/47.17 tff(34472,plain,
% 74.27/47.17 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB67)) | (~v199(constB67)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB67)) | (~v199(constB67)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34473,plain,
% 74.27/47.17 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB67)) | (~v199(constB67)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34474,plain,
% 74.27/47.17 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB67)) | (~v199(constB67))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34473, 34472])).
% 74.27/47.17 tff(34475,plain,
% 74.27/47.17 (~v183(constB67)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34474, 21034, 34448])).
% 74.27/47.17 tff(34476,plain,
% 74.27/47.17 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB67) | v183(constB67) | (~v197(constB67)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB67) | v183(constB67) | (~v197(constB67)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34477,plain,
% 74.27/47.17 (((~v197(constB67)) | v183(constB67) | v228(constB67)) <=> (v228(constB67) | v183(constB67) | (~v197(constB67)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34478,plain,
% 74.27/47.17 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB67)) | v183(constB67) | v228(constB67))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB67) | v183(constB67) | (~v197(constB67))))),
% 74.27/47.17 inference(monotonicity,[status(thm)],[34477])).
% 74.27/47.17 tff(34479,plain,
% 74.27/47.17 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB67)) | v183(constB67) | v228(constB67))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB67) | v183(constB67) | (~v197(constB67)))),
% 74.27/47.17 inference(transitivity,[status(thm)],[34478, 34476])).
% 74.27/47.17 tff(34480,plain,
% 74.27/47.17 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB67)) | v183(constB67) | v228(constB67))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34481,plain,
% 74.27/47.17 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB67) | v183(constB67) | (~v197(constB67))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34480, 34479])).
% 74.27/47.17 tff(34482,plain,
% 74.27/47.17 (v228(constB67)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34481, 6287, 34460, 34475])).
% 74.27/47.17 tff(34483,plain,
% 74.27/47.17 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB67)) | (~v223(constB67, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB67)) | (~v223(constB67, bitIndex1)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34484,plain,
% 74.27/47.17 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB67)) | (~v223(constB67, bitIndex1)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34485,plain,
% 74.27/47.17 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB67)) | (~v223(constB67, bitIndex1))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34484, 34483])).
% 74.27/47.17 tff(34486,plain,
% 74.27/47.17 (~v223(constB67, bitIndex1)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34485, 6301, 34482])).
% 74.27/47.17 tff(34487,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB67, bitIndex1) | v223(constB67, bitIndex0) | (~v229(constB67)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB67, bitIndex1) | v223(constB67, bitIndex0) | (~v229(constB67)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34488,plain,
% 74.27/47.17 ((v223(constB67, bitIndex0) | v223(constB67, bitIndex1) | (~v229(constB67))) <=> (v223(constB67, bitIndex1) | v223(constB67, bitIndex0) | (~v229(constB67)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34489,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB67, bitIndex0) | v223(constB67, bitIndex1) | (~v229(constB67)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB67, bitIndex1) | v223(constB67, bitIndex0) | (~v229(constB67))))),
% 74.27/47.17 inference(monotonicity,[status(thm)],[34488])).
% 74.27/47.17 tff(34490,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB67, bitIndex0) | v223(constB67, bitIndex1) | (~v229(constB67)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB67, bitIndex1) | v223(constB67, bitIndex0) | (~v229(constB67)))),
% 74.27/47.17 inference(transitivity,[status(thm)],[34489, 34487])).
% 74.27/47.17 tff(34491,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB67, bitIndex0) | v223(constB67, bitIndex1) | (~v229(constB67)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34492,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB67, bitIndex1) | v223(constB67, bitIndex0) | (~v229(constB67))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34491, 34490])).
% 74.27/47.17 tff(34493,plain,
% 74.27/47.17 (~v229(constB67)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34492, 21059, 34486, 34471])).
% 74.27/47.17 tff(34494,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB67) | (~v225(constB67)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB67) | (~v225(constB67)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34495,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB67) | (~v225(constB67)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34496,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB67) | (~v225(constB67))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34495, 34494])).
% 74.27/47.17 tff(34497,plain,
% 74.27/47.17 (~v225(constB67)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34496, 21073, 34493])).
% 74.27/47.17 tff(34498,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB67) | (~v224(constB67)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB67) | (~v224(constB67)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34499,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB67) | (~v224(constB67)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34500,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB67) | (~v224(constB67))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34499, 34498])).
% 74.27/47.17 tff(34501,plain,
% 74.27/47.17 (~v224(constB67)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34500, 21084, 34497])).
% 74.27/47.17 tff(34502,plain,
% 74.27/47.17 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB67)) | v223(constB67, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB67)) | v223(constB67, bitIndex1))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34503,plain,
% 74.27/47.17 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB67)) | v223(constB67, bitIndex1))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34504,plain,
% 74.27/47.17 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB67)) | v223(constB67, bitIndex1)),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34503, 34502])).
% 74.27/47.17 tff(34505,plain,
% 74.27/47.17 (~v222(constB67)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34504, 6315, 34486])).
% 74.27/47.17 tff(34506,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB67) | v224(constB67) | (~v236(constB67)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB67) | v224(constB67) | (~v236(constB67)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34507,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB67) | v224(constB67) | (~v236(constB67)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34508,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB67) | v224(constB67) | (~v236(constB67))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34507, 34506])).
% 74.27/47.17 tff(34509,plain,
% 74.27/47.17 (v224(constB67) | (~v236(constB67))),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34508, 6385, 34505])).
% 74.27/47.17 tff(34510,plain,
% 74.27/47.17 (~v236(constB67)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34509, 34501])).
% 74.27/47.17 tff(34511,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB67) | (~v232(constB67)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB67) | (~v232(constB67)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34512,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB67) | (~v232(constB67)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34513,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB67) | (~v232(constB67))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34512, 34511])).
% 74.27/47.17 tff(34514,plain,
% 74.27/47.17 (~v232(constB67)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34513, 6396, 34510])).
% 74.27/47.17 tff(34515,plain,
% 74.27/47.17 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB67, bitIndex1)) | (~v140(constB67)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB67, bitIndex1)) | (~v140(constB67)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34516,plain,
% 74.27/47.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB67, bitIndex1)) | (~v140(constB67)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34517,plain,
% 74.27/47.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB67, bitIndex1)) | (~v140(constB67))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34516, 34515])).
% 74.27/47.17 tff(34518,plain,
% 74.27/47.17 (~v140(constB67)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34517, 21108, 34433])).
% 74.27/47.17 tff(34519,plain,
% 74.27/47.17 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB67, bitIndex0)) | (~v139(constB67)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB67, bitIndex0)) | (~v139(constB67)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34520,plain,
% 74.27/47.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB67, bitIndex0)) | (~v139(constB67)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34521,plain,
% 74.27/47.17 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB67, bitIndex0)) | (~v139(constB67))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34520, 34519])).
% 74.27/47.17 tff(34522,plain,
% 74.27/47.17 (~v139(constB67)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34521, 6085, 34437])).
% 74.27/47.17 tff(34523,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB67)) | v139(constB67) | v140(constB67))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB67)) | v139(constB67) | v140(constB67))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34524,plain,
% 74.27/47.17 ((v140(constB67) | v139(constB67) | (~v148(constB67))) <=> ((~v148(constB67)) | v139(constB67) | v140(constB67))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34525,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB67) | v139(constB67) | (~v148(constB67)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB67)) | v139(constB67) | v140(constB67)))),
% 74.27/47.17 inference(monotonicity,[status(thm)],[34524])).
% 74.27/47.17 tff(34526,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB67) | v139(constB67) | (~v148(constB67)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB67)) | v139(constB67) | v140(constB67))),
% 74.27/47.17 inference(transitivity,[status(thm)],[34525, 34523])).
% 74.27/47.17 tff(34527,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB67) | v139(constB67) | (~v148(constB67)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34528,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB67)) | v139(constB67) | v140(constB67)),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34527, 34526])).
% 74.27/47.17 tff(34529,plain,
% 74.27/47.17 (~v148(constB67)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34528, 6410, 34522, 34518])).
% 74.27/47.17 tff(34530,plain,
% 74.27/47.17 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB67) | v148(constB67) | (~v197(constB67)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB67) | v148(constB67) | (~v197(constB67)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34531,plain,
% 74.27/47.17 ((v148(constB67) | (~v197(constB67)) | v252(constB67)) <=> (v252(constB67) | v148(constB67) | (~v197(constB67)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34532,plain,
% 74.27/47.17 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB67) | (~v197(constB67)) | v252(constB67))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB67) | v148(constB67) | (~v197(constB67))))),
% 74.27/47.17 inference(monotonicity,[status(thm)],[34531])).
% 74.27/47.17 tff(34533,plain,
% 74.27/47.17 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB67) | (~v197(constB67)) | v252(constB67))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB67) | v148(constB67) | (~v197(constB67)))),
% 74.27/47.17 inference(transitivity,[status(thm)],[34532, 34530])).
% 74.27/47.17 tff(34534,plain,
% 74.27/47.17 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB67) | (~v197(constB67)) | v252(constB67))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34535,plain,
% 74.27/47.17 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB67) | v148(constB67) | (~v197(constB67))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34534, 34533])).
% 74.27/47.17 tff(34536,plain,
% 74.27/47.17 (v252(constB67) | (~v197(constB67))),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34535, 6427, 34529])).
% 74.27/47.17 tff(34537,plain,
% 74.27/47.17 (v252(constB67)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34536, 34460])).
% 74.27/47.17 tff(34538,plain,
% 74.27/47.17 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB67)) | (~v223(constB67, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB67)) | (~v223(constB67, bitIndex3)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34539,plain,
% 74.27/47.17 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB67)) | (~v223(constB67, bitIndex3)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34540,plain,
% 74.27/47.17 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB67)) | (~v223(constB67, bitIndex3))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34539, 34538])).
% 74.27/47.17 tff(34541,plain,
% 74.27/47.17 (~v223(constB67, bitIndex3)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34540, 6441, 34537])).
% 74.27/47.17 tff(34542,plain,
% 74.27/47.17 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB67)) | v223(constB67, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB67)) | v223(constB67, bitIndex3))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34543,plain,
% 74.27/47.17 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB67)) | v223(constB67, bitIndex3))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34544,plain,
% 74.27/47.17 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB67)) | v223(constB67, bitIndex3)),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34543, 34542])).
% 74.27/47.17 tff(34545,plain,
% 74.27/47.17 (~v237(constB67)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34544, 6455, 34541])).
% 74.27/47.17 tff(34546,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | ((~v248(constB67)) | v232(constB67) | v237(constB67))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (~v248(constB67)) | v232(constB67) | v237(constB67))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34547,plain,
% 74.27/47.17 ((v237(constB67) | v232(constB67) | (~v248(constB67))) <=> ((~v248(constB67)) | v232(constB67) | v237(constB67))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34548,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB67) | v232(constB67) | (~v248(constB67)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | ((~v248(constB67)) | v232(constB67) | v237(constB67)))),
% 74.27/47.17 inference(monotonicity,[status(thm)],[34547])).
% 74.27/47.17 tff(34549,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB67) | v232(constB67) | (~v248(constB67)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (~v248(constB67)) | v232(constB67) | v237(constB67))),
% 74.27/47.17 inference(transitivity,[status(thm)],[34548, 34546])).
% 74.27/47.17 tff(34550,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB67) | v232(constB67) | (~v248(constB67)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34551,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (~v248(constB67)) | v232(constB67) | v237(constB67)),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34550, 34549])).
% 74.27/47.17 tff(34552,plain,
% 74.27/47.17 ((~v248(constB67)) | v232(constB67)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34551, 6469, 34545])).
% 74.27/47.17 tff(34553,plain,
% 74.27/47.17 (~v248(constB67)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34552, 34514])).
% 74.27/47.17 tff(34554,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB67) | (~v244(constB67)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB67) | (~v244(constB67)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34555,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB67) | (~v244(constB67)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34556,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB67) | (~v244(constB67))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34555, 34554])).
% 74.27/47.17 tff(34557,plain,
% 74.27/47.17 (~v244(constB67)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34556, 6484, 34553])).
% 74.27/47.17 tff(34558,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB67) | (~v216(constB67, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB67) | (~v216(constB67, bitIndex1)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34559,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB67) | (~v216(constB67, bitIndex1)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34560,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB67) | (~v216(constB67, bitIndex1))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34559, 34558])).
% 74.27/47.17 tff(34561,plain,
% 74.27/47.17 (~v216(constB67, bitIndex1)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34560, 6495, 34557])).
% 74.27/47.17 tff(34562,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB67, bitIndex1) | (~v254(constB67)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB67, bitIndex1) | (~v254(constB67)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34563,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB67, bitIndex1) | (~v254(constB67)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34564,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB67, bitIndex1) | (~v254(constB67))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34563, 34562])).
% 74.27/47.17 tff(34565,plain,
% 74.27/47.17 (~v254(constB67)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34564, 6506, 34561])).
% 74.27/47.17 tff(34566,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB67) | (~v231(constB67)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB67) | (~v231(constB67)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34567,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB67) | (~v231(constB67)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34568,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB67) | (~v231(constB67))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34567, 34566])).
% 74.27/47.17 tff(34569,plain,
% 74.27/47.17 (~v231(constB67)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34568, 6528, 34545])).
% 74.27/47.17 tff(34570,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB67) | (~v221(constB67)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB67) | (~v221(constB67)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34571,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB67) | (~v221(constB67)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34572,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB67) | (~v221(constB67))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34571, 34570])).
% 74.27/47.17 tff(34573,plain,
% 74.27/47.17 (~v221(constB67)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34572, 21170, 34505])).
% 74.27/47.17 tff(34574,plain,
% 74.27/47.17 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB67) | v231(constB67) | (~v243(constB67)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB67) | v231(constB67) | (~v243(constB67)))),
% 74.27/47.17 inference(rewrite,[status(thm)],[])).
% 74.27/47.17 tff(34575,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB67) | v231(constB67) | (~v243(constB67)))),
% 74.27/47.17 inference(quant_inst,[status(thm)],[])).
% 74.27/47.17 tff(34576,plain,
% 74.27/47.17 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB67) | v231(constB67) | (~v243(constB67))),
% 74.27/47.17 inference(modus_ponens,[status(thm)],[34575, 34574])).
% 74.27/47.17 tff(34577,plain,
% 74.27/47.17 (~v243(constB67)),
% 74.27/47.17 inference(unit_resolution,[status(thm)],[34576, 6542, 34573, 34569])).
% 74.27/47.18 tff(34578,plain,
% 74.27/47.18 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB67) | v255(constB67))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB67) | v255(constB67))),
% 74.27/47.18 inference(rewrite,[status(thm)],[])).
% 74.27/47.18 tff(34579,plain,
% 74.27/47.18 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB67) | v255(constB67))),
% 74.27/47.18 inference(quant_inst,[status(thm)],[])).
% 74.27/47.18 tff(34580,plain,
% 74.27/47.18 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB67) | v255(constB67)),
% 74.27/47.18 inference(modus_ponens,[status(thm)],[34579, 34578])).
% 74.27/47.18 tff(34581,plain,
% 74.27/47.18 (v255(constB67)),
% 74.27/47.18 inference(unit_resolution,[status(thm)],[34580, 6553, 34577])).
% 74.27/47.18 tff(34582,plain,
% 74.27/47.18 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB67)) | (~v216(constB67, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB67)) | (~v216(constB67, bitIndex2)))),
% 74.27/47.18 inference(rewrite,[status(thm)],[])).
% 74.27/47.18 tff(34583,plain,
% 74.27/47.18 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB67)) | (~v216(constB67, bitIndex2)))),
% 74.27/47.18 inference(quant_inst,[status(thm)],[])).
% 74.27/47.18 tff(34584,plain,
% 74.27/47.18 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB67)) | (~v216(constB67, bitIndex2))),
% 74.27/47.18 inference(modus_ponens,[status(thm)],[34583, 34582])).
% 74.27/47.18 tff(34585,plain,
% 74.27/47.18 (~v216(constB67, bitIndex2)),
% 74.27/47.18 inference(unit_resolution,[status(thm)],[34584, 6564, 34581])).
% 74.27/47.18 tff(34586,plain,
% 74.27/47.18 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB67, bitIndex2) | (~v215(constB67)) | v254(constB67))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB67, bitIndex2) | (~v215(constB67)) | v254(constB67))),
% 74.27/47.18 inference(rewrite,[status(thm)],[])).
% 74.27/47.18 tff(34587,plain,
% 74.27/47.18 ((v216(constB67, bitIndex2) | v254(constB67) | (~v215(constB67))) <=> (v216(constB67, bitIndex2) | (~v215(constB67)) | v254(constB67))),
% 74.27/47.18 inference(rewrite,[status(thm)],[])).
% 74.27/47.18 tff(34588,plain,
% 74.27/47.18 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB67, bitIndex2) | v254(constB67) | (~v215(constB67)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB67, bitIndex2) | (~v215(constB67)) | v254(constB67)))),
% 74.27/47.18 inference(monotonicity,[status(thm)],[34587])).
% 74.27/47.18 tff(34589,plain,
% 74.27/47.18 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB67, bitIndex2) | v254(constB67) | (~v215(constB67)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB67, bitIndex2) | (~v215(constB67)) | v254(constB67))),
% 74.27/47.18 inference(transitivity,[status(thm)],[34588, 34586])).
% 74.27/47.18 tff(34590,plain,
% 74.27/47.18 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB67, bitIndex2) | v254(constB67) | (~v215(constB67)))),
% 74.27/47.18 inference(quant_inst,[status(thm)],[])).
% 74.27/47.18 tff(34591,plain,
% 74.27/47.18 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB67, bitIndex2) | (~v215(constB67)) | v254(constB67)),
% 74.27/47.18 inference(modus_ponens,[status(thm)],[34590, 34589])).
% 74.27/47.18 tff(34592,plain,
% 74.27/47.18 ((~v215(constB67)) | v254(constB67)),
% 74.27/47.18 inference(unit_resolution,[status(thm)],[34591, 6578, 34585])).
% 74.27/47.18 tff(34593,plain,
% 74.27/47.18 (~v215(constB67)),
% 74.27/47.18 inference(unit_resolution,[status(thm)],[34592, 34565])).
% 74.27/47.18 tff(34594,plain,
% 74.27/47.18 ($false),
% 74.27/47.18 inference(unit_resolution,[status(thm)],[34593, 34425])).
% 74.27/47.18 tff(34595,plain,(~(constB67 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.27/47.18 tff(34596,assumption,(constB163 = sK0_VarCurr), introduced(assumption)).
% 74.27/47.18 tff(34597,plain,
% 74.27/47.18 (v215(constB163) <=> v215(sK0_VarCurr)),
% 74.27/47.18 inference(monotonicity,[status(thm)],[34596])).
% 74.27/47.18 tff(34598,plain,
% 74.27/47.18 (v215(sK0_VarCurr) <=> v215(constB163)),
% 74.27/47.18 inference(symmetry,[status(thm)],[34597])).
% 74.27/47.18 tff(34599,plain,
% 74.27/47.18 (v215(constB163)),
% 74.27/47.18 inference(modus_ponens,[status(thm)],[28, 34598])).
% 74.35/47.18 tff(34600,plain,
% 74.35/47.18 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB163, bitIndex1)) | v88(constB163, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB163, bitIndex1)) | v88(constB163, bitIndex1))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34601,plain,
% 74.35/47.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB163, bitIndex1)) | v88(constB163, bitIndex1))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34602,plain,
% 74.35/47.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB163, bitIndex1)) | v88(constB163, bitIndex1)),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34601, 34600])).
% 74.35/47.18 tff(34603,plain,
% 74.35/47.18 (v88(constB163, bitIndex1)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34602, 20927, 23794])).
% 74.35/47.18 tff(34604,plain,
% 74.35/47.18 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB163, bitIndex2) | (~v88(constB163, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB163, bitIndex2) | (~v88(constB163, bitIndex2)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34605,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB163, bitIndex2) | (~v88(constB163, bitIndex2)))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34606,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB163, bitIndex2) | (~v88(constB163, bitIndex2))),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34605, 34604])).
% 74.35/47.18 tff(34607,plain,
% 74.35/47.18 (~v88(constB163, bitIndex2)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34606, 20913, 23828])).
% 74.35/47.18 tff(34608,plain,
% 74.35/47.18 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB163, bitIndex0)) | v88(constB163, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB163, bitIndex0)) | v88(constB163, bitIndex0))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34609,plain,
% 74.35/47.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB163, bitIndex0)) | v88(constB163, bitIndex0))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34610,plain,
% 74.35/47.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB163, bitIndex0)) | v88(constB163, bitIndex0)),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34609, 34608])).
% 74.35/47.18 tff(34611,plain,
% 74.35/47.18 (v88(constB163, bitIndex0)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34610, 6074, 23837])).
% 74.35/47.18 tff(34612,plain,
% 74.35/47.18 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | v141(constB163) | (~v88(constB163, bitIndex0)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | v141(constB163) | (~v88(constB163, bitIndex0)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34613,plain,
% 74.35/47.18 ((v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | (~v88(constB163, bitIndex0)) | v141(constB163)) <=> (v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | v141(constB163) | (~v88(constB163, bitIndex0)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34614,plain,
% 74.35/47.18 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | (~v88(constB163, bitIndex0)) | v141(constB163))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | v141(constB163) | (~v88(constB163, bitIndex0))))),
% 74.35/47.18 inference(monotonicity,[status(thm)],[34613])).
% 74.35/47.18 tff(34615,plain,
% 74.35/47.18 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | (~v88(constB163, bitIndex0)) | v141(constB163))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | v141(constB163) | (~v88(constB163, bitIndex0)))),
% 74.35/47.18 inference(transitivity,[status(thm)],[34614, 34612])).
% 74.35/47.18 tff(34616,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | (~v88(constB163, bitIndex0)) | v141(constB163))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34617,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | v141(constB163) | (~v88(constB163, bitIndex0))),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34616, 34615])).
% 74.35/47.18 tff(34618,plain,
% 74.35/47.18 (v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | v141(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34617, 20945, 34611])).
% 74.35/47.18 tff(34619,plain,
% 74.35/47.18 (v141(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34618, 34607, 34603])).
% 74.35/47.18 tff(34620,plain,
% 74.35/47.18 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB163) | (~v141(constB163)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB163) | (~v141(constB163)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34621,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB163) | (~v141(constB163)))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34622,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB163) | (~v141(constB163))),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34621, 34620])).
% 74.35/47.18 tff(34623,plain,
% 74.35/47.18 (v199(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34622, 20959, 34619])).
% 74.35/47.18 tff(34624,plain,
% 74.35/47.18 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB163) | (~v199(constB163)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB163) | (~v199(constB163)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34625,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB163) | (~v199(constB163)))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34626,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB163) | (~v199(constB163))),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34625, 34624])).
% 74.35/47.18 tff(34627,plain,
% 74.35/47.18 (v198(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34626, 20970, 34623])).
% 74.35/47.18 tff(34628,plain,
% 74.35/47.18 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB163)) | (~v201(constB163)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB163)) | (~v201(constB163)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34629,plain,
% 74.35/47.18 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB163)) | (~v201(constB163)))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34630,plain,
% 74.35/47.18 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB163)) | (~v201(constB163))),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34629, 34628])).
% 74.35/47.18 tff(34631,plain,
% 74.35/47.18 (~v201(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34630, 20984, 34627])).
% 74.35/47.18 tff(34632,plain,
% 74.35/47.18 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB163) | (~v198(constB163)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB163) | (~v198(constB163)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34633,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB163) | (~v198(constB163)))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34634,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB163) | (~v198(constB163))),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34633, 34632])).
% 74.35/47.18 tff(34635,plain,
% 74.35/47.18 (v197(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34634, 20995, 34627])).
% 74.35/47.18 tff(34636,plain,
% 74.35/47.18 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB163) | v201(constB163) | (~v197(constB163)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB163) | v201(constB163) | (~v197(constB163)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34637,plain,
% 74.35/47.18 (((~v197(constB163)) | v201(constB163) | v227(constB163)) <=> (v227(constB163) | v201(constB163) | (~v197(constB163)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34638,plain,
% 74.35/47.18 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB163)) | v201(constB163) | v227(constB163))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB163) | v201(constB163) | (~v197(constB163))))),
% 74.35/47.18 inference(monotonicity,[status(thm)],[34637])).
% 74.35/47.18 tff(34639,plain,
% 74.35/47.18 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB163)) | v201(constB163) | v227(constB163))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB163) | v201(constB163) | (~v197(constB163)))),
% 74.35/47.18 inference(transitivity,[status(thm)],[34638, 34636])).
% 74.35/47.18 tff(34640,plain,
% 74.35/47.18 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB163)) | v201(constB163) | v227(constB163))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34641,plain,
% 74.35/47.18 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB163) | v201(constB163) | (~v197(constB163))),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34640, 34639])).
% 74.35/47.18 tff(34642,plain,
% 74.35/47.18 (v227(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34641, 21009, 34635, 34631])).
% 74.35/47.18 tff(34643,plain,
% 74.35/47.18 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB163)) | (~v223(constB163, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB163)) | (~v223(constB163, bitIndex0)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34644,plain,
% 74.35/47.18 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB163)) | (~v223(constB163, bitIndex0)))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34645,plain,
% 74.35/47.18 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB163)) | (~v223(constB163, bitIndex0))),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34644, 34643])).
% 74.35/47.18 tff(34646,plain,
% 74.35/47.18 (~v223(constB163, bitIndex0)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34645, 21023, 34642])).
% 74.35/47.18 tff(34647,plain,
% 74.35/47.18 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB163)) | (~v199(constB163)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB163)) | (~v199(constB163)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34648,plain,
% 74.35/47.18 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB163)) | (~v199(constB163)))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34649,plain,
% 74.35/47.18 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB163)) | (~v199(constB163))),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34648, 34647])).
% 74.35/47.18 tff(34650,plain,
% 74.35/47.18 (~v183(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34649, 21034, 34623])).
% 74.35/47.18 tff(34651,plain,
% 74.35/47.18 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB163) | (~v197(constB163)) | v183(constB163))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB163) | (~v197(constB163)) | v183(constB163))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34652,plain,
% 74.35/47.18 (((~v197(constB163)) | v183(constB163) | v228(constB163)) <=> (v228(constB163) | (~v197(constB163)) | v183(constB163))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34653,plain,
% 74.35/47.18 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB163)) | v183(constB163) | v228(constB163))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB163) | (~v197(constB163)) | v183(constB163)))),
% 74.35/47.18 inference(monotonicity,[status(thm)],[34652])).
% 74.35/47.18 tff(34654,plain,
% 74.35/47.18 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB163)) | v183(constB163) | v228(constB163))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB163) | (~v197(constB163)) | v183(constB163))),
% 74.35/47.18 inference(transitivity,[status(thm)],[34653, 34651])).
% 74.35/47.18 tff(34655,plain,
% 74.35/47.18 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB163)) | v183(constB163) | v228(constB163))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34656,plain,
% 74.35/47.18 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB163) | (~v197(constB163)) | v183(constB163)),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34655, 34654])).
% 74.35/47.18 tff(34657,plain,
% 74.35/47.18 (v228(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34656, 6287, 34635, 34650])).
% 74.35/47.18 tff(34658,plain,
% 74.35/47.18 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB163)) | (~v223(constB163, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB163)) | (~v223(constB163, bitIndex1)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34659,plain,
% 74.35/47.18 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB163)) | (~v223(constB163, bitIndex1)))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34660,plain,
% 74.35/47.18 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB163)) | (~v223(constB163, bitIndex1))),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34659, 34658])).
% 74.35/47.18 tff(34661,plain,
% 74.35/47.18 (~v223(constB163, bitIndex1)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34660, 6301, 34657])).
% 74.35/47.18 tff(34662,plain,
% 74.35/47.18 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB163, bitIndex1) | v223(constB163, bitIndex0) | (~v229(constB163)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB163, bitIndex1) | v223(constB163, bitIndex0) | (~v229(constB163)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34663,plain,
% 74.35/47.18 ((v223(constB163, bitIndex0) | v223(constB163, bitIndex1) | (~v229(constB163))) <=> (v223(constB163, bitIndex1) | v223(constB163, bitIndex0) | (~v229(constB163)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34664,plain,
% 74.35/47.18 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB163, bitIndex0) | v223(constB163, bitIndex1) | (~v229(constB163)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB163, bitIndex1) | v223(constB163, bitIndex0) | (~v229(constB163))))),
% 74.35/47.18 inference(monotonicity,[status(thm)],[34663])).
% 74.35/47.18 tff(34665,plain,
% 74.35/47.18 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB163, bitIndex0) | v223(constB163, bitIndex1) | (~v229(constB163)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB163, bitIndex1) | v223(constB163, bitIndex0) | (~v229(constB163)))),
% 74.35/47.18 inference(transitivity,[status(thm)],[34664, 34662])).
% 74.35/47.18 tff(34666,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB163, bitIndex0) | v223(constB163, bitIndex1) | (~v229(constB163)))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34667,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB163, bitIndex1) | v223(constB163, bitIndex0) | (~v229(constB163))),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34666, 34665])).
% 74.35/47.18 tff(34668,plain,
% 74.35/47.18 (v223(constB163, bitIndex0) | (~v229(constB163))),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34667, 21059, 34661])).
% 74.35/47.18 tff(34669,plain,
% 74.35/47.18 (~v229(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34668, 34646])).
% 74.35/47.18 tff(34670,plain,
% 74.35/47.18 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB163) | (~v225(constB163)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB163) | (~v225(constB163)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34671,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB163) | (~v225(constB163)))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34672,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB163) | (~v225(constB163))),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34671, 34670])).
% 74.35/47.18 tff(34673,plain,
% 74.35/47.18 (~v225(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34672, 21073, 34669])).
% 74.35/47.18 tff(34674,plain,
% 74.35/47.18 (((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB163) | (~v224(constB163)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB163) | (~v224(constB163)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34675,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB163) | (~v224(constB163)))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34676,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB163) | (~v224(constB163))),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34675, 34674])).
% 74.35/47.18 tff(34677,plain,
% 74.35/47.18 (~v224(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34676, 21084, 34673])).
% 74.35/47.18 tff(34678,plain,
% 74.35/47.18 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB163)) | v223(constB163, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB163)) | v223(constB163, bitIndex1))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34679,plain,
% 74.35/47.18 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB163)) | v223(constB163, bitIndex1))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34680,plain,
% 74.35/47.18 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB163)) | v223(constB163, bitIndex1)),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34679, 34678])).
% 74.35/47.18 tff(34681,plain,
% 74.35/47.18 (~v222(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34680, 6315, 34661])).
% 74.35/47.18 tff(34682,plain,
% 74.35/47.18 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB163) | v224(constB163) | (~v236(constB163)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB163) | v224(constB163) | (~v236(constB163)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34683,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB163) | v224(constB163) | (~v236(constB163)))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34684,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB163) | v224(constB163) | (~v236(constB163))),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34683, 34682])).
% 74.35/47.18 tff(34685,plain,
% 74.35/47.18 (v224(constB163) | (~v236(constB163))),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34684, 6385, 34681])).
% 74.35/47.18 tff(34686,plain,
% 74.35/47.18 (~v236(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34685, 34677])).
% 74.35/47.18 tff(34687,plain,
% 74.35/47.18 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB163) | (~v232(constB163)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB163) | (~v232(constB163)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34688,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB163) | (~v232(constB163)))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34689,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB163) | (~v232(constB163))),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34688, 34687])).
% 74.35/47.18 tff(34690,plain,
% 74.35/47.18 (~v232(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34689, 6396, 34686])).
% 74.35/47.18 tff(34691,plain,
% 74.35/47.18 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB163, bitIndex1)) | (~v140(constB163)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB163, bitIndex1)) | (~v140(constB163)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34692,plain,
% 74.35/47.18 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB163, bitIndex1)) | (~v140(constB163)))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34693,plain,
% 74.35/47.18 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB163, bitIndex1)) | (~v140(constB163))),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34692, 34691])).
% 74.35/47.18 tff(34694,plain,
% 74.35/47.18 (~v140(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34693, 21108, 34603])).
% 74.35/47.18 tff(34695,plain,
% 74.35/47.18 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB163, bitIndex0)) | (~v139(constB163)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB163, bitIndex0)) | (~v139(constB163)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34696,plain,
% 74.35/47.18 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB163, bitIndex0)) | (~v139(constB163)))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34697,plain,
% 74.35/47.18 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB163, bitIndex0)) | (~v139(constB163))),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34696, 34695])).
% 74.35/47.18 tff(34698,plain,
% 74.35/47.18 (~v139(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34697, 6085, 34611])).
% 74.35/47.18 tff(34699,plain,
% 74.35/47.18 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB163) | v139(constB163) | (~v148(constB163)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB163) | v139(constB163) | (~v148(constB163)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34700,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB163) | v139(constB163) | (~v148(constB163)))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34701,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB163) | v139(constB163) | (~v148(constB163))),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34700, 34699])).
% 74.35/47.18 tff(34702,plain,
% 74.35/47.18 (v140(constB163) | (~v148(constB163))),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34701, 6410, 34698])).
% 74.35/47.18 tff(34703,plain,
% 74.35/47.18 (~v148(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34702, 34694])).
% 74.35/47.18 tff(34704,plain,
% 74.35/47.18 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB163) | (~v197(constB163)) | v148(constB163))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB163) | (~v197(constB163)) | v148(constB163))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34705,plain,
% 74.35/47.18 ((v148(constB163) | (~v197(constB163)) | v252(constB163)) <=> (v252(constB163) | (~v197(constB163)) | v148(constB163))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34706,plain,
% 74.35/47.18 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB163) | (~v197(constB163)) | v252(constB163))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB163) | (~v197(constB163)) | v148(constB163)))),
% 74.35/47.18 inference(monotonicity,[status(thm)],[34705])).
% 74.35/47.18 tff(34707,plain,
% 74.35/47.18 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB163) | (~v197(constB163)) | v252(constB163))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB163) | (~v197(constB163)) | v148(constB163))),
% 74.35/47.18 inference(transitivity,[status(thm)],[34706, 34704])).
% 74.35/47.18 tff(34708,plain,
% 74.35/47.18 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB163) | (~v197(constB163)) | v252(constB163))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34709,plain,
% 74.35/47.18 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB163) | (~v197(constB163)) | v148(constB163)),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34708, 34707])).
% 74.35/47.18 tff(34710,plain,
% 74.35/47.18 (v252(constB163) | (~v197(constB163))),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34709, 6427, 34703])).
% 74.35/47.18 tff(34711,plain,
% 74.35/47.18 (v252(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34710, 34635])).
% 74.35/47.18 tff(34712,plain,
% 74.35/47.18 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB163)) | (~v223(constB163, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB163)) | (~v223(constB163, bitIndex3)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34713,plain,
% 74.35/47.18 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB163)) | (~v223(constB163, bitIndex3)))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34714,plain,
% 74.35/47.18 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB163)) | (~v223(constB163, bitIndex3))),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34713, 34712])).
% 74.35/47.18 tff(34715,plain,
% 74.35/47.18 (~v223(constB163, bitIndex3)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34714, 6441, 34711])).
% 74.35/47.18 tff(34716,plain,
% 74.35/47.18 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB163)) | v223(constB163, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB163)) | v223(constB163, bitIndex3))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34717,plain,
% 74.35/47.18 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB163)) | v223(constB163, bitIndex3))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34718,plain,
% 74.35/47.18 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB163)) | v223(constB163, bitIndex3)),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34717, 34716])).
% 74.35/47.18 tff(34719,plain,
% 74.35/47.18 (~v237(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34718, 6455, 34715])).
% 74.35/47.18 tff(34720,plain,
% 74.35/47.18 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB163) | v232(constB163) | (~v248(constB163)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB163) | v232(constB163) | (~v248(constB163)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34721,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB163) | v232(constB163) | (~v248(constB163)))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34722,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB163) | v232(constB163) | (~v248(constB163))),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34721, 34720])).
% 74.35/47.18 tff(34723,plain,
% 74.35/47.18 (v232(constB163) | (~v248(constB163))),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34722, 6469, 34719])).
% 74.35/47.18 tff(34724,plain,
% 74.35/47.18 (~v248(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34723, 34690])).
% 74.35/47.18 tff(34725,plain,
% 74.35/47.18 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB163) | (~v244(constB163)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB163) | (~v244(constB163)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34726,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB163) | (~v244(constB163)))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34727,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB163) | (~v244(constB163))),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34726, 34725])).
% 74.35/47.18 tff(34728,plain,
% 74.35/47.18 (~v244(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34727, 6484, 34724])).
% 74.35/47.18 tff(34729,plain,
% 74.35/47.18 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB163) | (~v216(constB163, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB163) | (~v216(constB163, bitIndex1)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34730,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB163) | (~v216(constB163, bitIndex1)))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34731,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB163) | (~v216(constB163, bitIndex1))),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34730, 34729])).
% 74.35/47.18 tff(34732,plain,
% 74.35/47.18 (~v216(constB163, bitIndex1)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34731, 6495, 34728])).
% 74.35/47.18 tff(34733,plain,
% 74.35/47.18 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB163, bitIndex1) | (~v254(constB163)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB163, bitIndex1) | (~v254(constB163)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34734,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB163, bitIndex1) | (~v254(constB163)))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34735,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB163, bitIndex1) | (~v254(constB163))),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34734, 34733])).
% 74.35/47.18 tff(34736,plain,
% 74.35/47.18 (~v254(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34735, 6506, 34732])).
% 74.35/47.18 tff(34737,plain,
% 74.35/47.18 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB163) | (~v231(constB163)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB163) | (~v231(constB163)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34738,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB163) | (~v231(constB163)))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34739,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB163) | (~v231(constB163))),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34738, 34737])).
% 74.35/47.18 tff(34740,plain,
% 74.35/47.18 (~v231(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34739, 6528, 34719])).
% 74.35/47.18 tff(34741,plain,
% 74.35/47.18 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB163) | (~v221(constB163)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB163) | (~v221(constB163)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34742,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB163) | (~v221(constB163)))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34743,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB163) | (~v221(constB163))),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34742, 34741])).
% 74.35/47.18 tff(34744,plain,
% 74.35/47.18 (~v221(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34743, 21170, 34681])).
% 74.35/47.18 tff(34745,plain,
% 74.35/47.18 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB163) | v231(constB163) | (~v243(constB163)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB163) | v231(constB163) | (~v243(constB163)))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34746,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB163) | v231(constB163) | (~v243(constB163)))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34747,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB163) | v231(constB163) | (~v243(constB163))),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34746, 34745])).
% 74.35/47.18 tff(34748,plain,
% 74.35/47.18 (~v243(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34747, 6542, 34744, 34740])).
% 74.35/47.18 tff(34749,plain,
% 74.35/47.18 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB163) | v255(constB163))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB163) | v255(constB163))),
% 74.35/47.18 inference(rewrite,[status(thm)],[])).
% 74.35/47.18 tff(34750,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB163) | v255(constB163))),
% 74.35/47.18 inference(quant_inst,[status(thm)],[])).
% 74.35/47.18 tff(34751,plain,
% 74.35/47.18 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB163) | v255(constB163)),
% 74.35/47.18 inference(modus_ponens,[status(thm)],[34750, 34749])).
% 74.35/47.18 tff(34752,plain,
% 74.35/47.18 (v255(constB163)),
% 74.35/47.18 inference(unit_resolution,[status(thm)],[34751, 6553, 34748])).
% 74.35/47.19 tff(34753,plain,
% 74.35/47.19 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB163)) | (~v216(constB163, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB163)) | (~v216(constB163, bitIndex2)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34754,plain,
% 74.35/47.19 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB163)) | (~v216(constB163, bitIndex2)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34755,plain,
% 74.35/47.19 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB163)) | (~v216(constB163, bitIndex2))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34754, 34753])).
% 74.35/47.19 tff(34756,plain,
% 74.35/47.19 (~v216(constB163, bitIndex2)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34755, 6564, 34752])).
% 74.35/47.19 tff(34757,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB163) | v216(constB163, bitIndex2) | (~v215(constB163)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB163) | v216(constB163, bitIndex2) | (~v215(constB163)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34758,plain,
% 74.35/47.19 ((v216(constB163, bitIndex2) | v254(constB163) | (~v215(constB163))) <=> (v254(constB163) | v216(constB163, bitIndex2) | (~v215(constB163)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34759,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB163, bitIndex2) | v254(constB163) | (~v215(constB163)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB163) | v216(constB163, bitIndex2) | (~v215(constB163))))),
% 74.35/47.19 inference(monotonicity,[status(thm)],[34758])).
% 74.35/47.19 tff(34760,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB163, bitIndex2) | v254(constB163) | (~v215(constB163)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB163) | v216(constB163, bitIndex2) | (~v215(constB163)))),
% 74.35/47.19 inference(transitivity,[status(thm)],[34759, 34757])).
% 74.35/47.19 tff(34761,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB163, bitIndex2) | v254(constB163) | (~v215(constB163)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34762,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB163) | v216(constB163, bitIndex2) | (~v215(constB163))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34761, 34760])).
% 74.35/47.19 tff(34763,plain,
% 74.35/47.19 (v254(constB163) | (~v215(constB163))),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34762, 6578, 34756])).
% 74.35/47.19 tff(34764,plain,
% 74.35/47.19 (~v215(constB163)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34763, 34736])).
% 74.35/47.19 tff(34765,plain,
% 74.35/47.19 ($false),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34764, 34599])).
% 74.35/47.19 tff(34766,plain,(~(constB163 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.35/47.19 tff(34767,assumption,(constB127 = sK0_VarCurr), introduced(assumption)).
% 74.35/47.19 tff(34768,plain,
% 74.35/47.19 (v215(constB127) <=> v215(sK0_VarCurr)),
% 74.35/47.19 inference(monotonicity,[status(thm)],[34767])).
% 74.35/47.19 tff(34769,plain,
% 74.35/47.19 (v215(sK0_VarCurr) <=> v215(constB127)),
% 74.35/47.19 inference(symmetry,[status(thm)],[34768])).
% 74.35/47.19 tff(34770,plain,
% 74.35/47.19 (v215(constB127)),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[28, 34769])).
% 74.35/47.19 tff(34771,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB127, bitIndex2) | (~v88(constB127, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB127, bitIndex2) | (~v88(constB127, bitIndex2)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34772,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB127, bitIndex2) | (~v88(constB127, bitIndex2)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34773,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB127, bitIndex2) | (~v88(constB127, bitIndex2))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34772, 34771])).
% 74.35/47.19 tff(34774,plain,
% 74.35/47.19 (~v88(constB127, bitIndex2)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34773, 20913, 18775])).
% 74.35/47.19 tff(34775,plain,
% 74.35/47.19 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB127, bitIndex1)) | v88(constB127, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB127, bitIndex1)) | v88(constB127, bitIndex1))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34776,plain,
% 74.35/47.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB127, bitIndex1)) | v88(constB127, bitIndex1))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34777,plain,
% 74.35/47.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB127, bitIndex1)) | v88(constB127, bitIndex1)),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34776, 34775])).
% 74.35/47.19 tff(34778,plain,
% 74.35/47.19 (v88(constB127, bitIndex1)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34777, 20927, 18806])).
% 74.35/47.19 tff(34779,plain,
% 74.35/47.19 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB127, bitIndex0)) | v88(constB127, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB127, bitIndex0)) | v88(constB127, bitIndex0))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34780,plain,
% 74.35/47.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB127, bitIndex0)) | v88(constB127, bitIndex0))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34781,plain,
% 74.35/47.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB127, bitIndex0)) | v88(constB127, bitIndex0)),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34780, 34779])).
% 74.35/47.19 tff(34782,plain,
% 74.35/47.19 (v88(constB127, bitIndex0)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34781, 6074, 18837])).
% 74.35/47.19 tff(34783,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB127, bitIndex2) | (~v88(constB127, bitIndex1)) | (~v88(constB127, bitIndex0)) | v141(constB127))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB127, bitIndex2) | (~v88(constB127, bitIndex1)) | (~v88(constB127, bitIndex0)) | v141(constB127))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34784,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB127, bitIndex2) | (~v88(constB127, bitIndex1)) | (~v88(constB127, bitIndex0)) | v141(constB127))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34785,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB127, bitIndex2) | (~v88(constB127, bitIndex1)) | (~v88(constB127, bitIndex0)) | v141(constB127)),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34784, 34783])).
% 74.35/47.19 tff(34786,plain,
% 74.35/47.19 (v141(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34785, 20945, 34782, 34778, 34774])).
% 74.35/47.19 tff(34787,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB127) | (~v141(constB127)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB127) | (~v141(constB127)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34788,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB127) | (~v141(constB127)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34789,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB127) | (~v141(constB127))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34788, 34787])).
% 74.35/47.19 tff(34790,plain,
% 74.35/47.19 (v199(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34789, 20959, 34786])).
% 74.35/47.19 tff(34791,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB127) | (~v199(constB127)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB127) | (~v199(constB127)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34792,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB127) | (~v199(constB127)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34793,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB127) | (~v199(constB127))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34792, 34791])).
% 74.35/47.19 tff(34794,plain,
% 74.35/47.19 (v198(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34793, 20970, 34790])).
% 74.35/47.19 tff(34795,plain,
% 74.35/47.19 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB127)) | (~v201(constB127)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB127)) | (~v201(constB127)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34796,plain,
% 74.35/47.19 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB127)) | (~v201(constB127)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34797,plain,
% 74.35/47.19 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB127)) | (~v201(constB127))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34796, 34795])).
% 74.35/47.19 tff(34798,plain,
% 74.35/47.19 (~v201(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34797, 20984, 34794])).
% 74.35/47.19 tff(34799,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB127) | (~v198(constB127)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB127) | (~v198(constB127)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34800,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB127) | (~v198(constB127)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34801,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB127) | (~v198(constB127))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34800, 34799])).
% 74.35/47.19 tff(34802,plain,
% 74.35/47.19 (v197(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34801, 20995, 34794])).
% 74.35/47.19 tff(34803,plain,
% 74.35/47.19 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB127) | (~v197(constB127)) | v201(constB127))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB127) | (~v197(constB127)) | v201(constB127))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34804,plain,
% 74.35/47.19 (((~v197(constB127)) | v201(constB127) | v227(constB127)) <=> (v227(constB127) | (~v197(constB127)) | v201(constB127))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34805,plain,
% 74.35/47.19 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB127)) | v201(constB127) | v227(constB127))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB127) | (~v197(constB127)) | v201(constB127)))),
% 74.35/47.19 inference(monotonicity,[status(thm)],[34804])).
% 74.35/47.19 tff(34806,plain,
% 74.35/47.19 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB127)) | v201(constB127) | v227(constB127))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB127) | (~v197(constB127)) | v201(constB127))),
% 74.35/47.19 inference(transitivity,[status(thm)],[34805, 34803])).
% 74.35/47.19 tff(34807,plain,
% 74.35/47.19 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB127)) | v201(constB127) | v227(constB127))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34808,plain,
% 74.35/47.19 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB127) | (~v197(constB127)) | v201(constB127)),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34807, 34806])).
% 74.35/47.19 tff(34809,plain,
% 74.35/47.19 (v227(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34808, 21009, 34802, 34798])).
% 74.35/47.19 tff(34810,plain,
% 74.35/47.19 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB127)) | (~v223(constB127, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB127)) | (~v223(constB127, bitIndex0)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34811,plain,
% 74.35/47.19 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB127)) | (~v223(constB127, bitIndex0)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34812,plain,
% 74.35/47.19 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB127)) | (~v223(constB127, bitIndex0))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34811, 34810])).
% 74.35/47.19 tff(34813,plain,
% 74.35/47.19 (~v223(constB127, bitIndex0)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34812, 21023, 34809])).
% 74.35/47.19 tff(34814,plain,
% 74.35/47.19 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB127)) | (~v199(constB127)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB127)) | (~v199(constB127)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34815,plain,
% 74.35/47.19 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB127)) | (~v199(constB127)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34816,plain,
% 74.35/47.19 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB127)) | (~v199(constB127))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34815, 34814])).
% 74.35/47.19 tff(34817,plain,
% 74.35/47.19 (~v183(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34816, 21034, 34790])).
% 74.35/47.19 tff(34818,plain,
% 74.35/47.19 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB127) | v183(constB127) | (~v197(constB127)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB127) | v183(constB127) | (~v197(constB127)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34819,plain,
% 74.35/47.19 (((~v197(constB127)) | v183(constB127) | v228(constB127)) <=> (v228(constB127) | v183(constB127) | (~v197(constB127)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34820,plain,
% 74.35/47.19 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB127)) | v183(constB127) | v228(constB127))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB127) | v183(constB127) | (~v197(constB127))))),
% 74.35/47.19 inference(monotonicity,[status(thm)],[34819])).
% 74.35/47.19 tff(34821,plain,
% 74.35/47.19 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB127)) | v183(constB127) | v228(constB127))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB127) | v183(constB127) | (~v197(constB127)))),
% 74.35/47.19 inference(transitivity,[status(thm)],[34820, 34818])).
% 74.35/47.19 tff(34822,plain,
% 74.35/47.19 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB127)) | v183(constB127) | v228(constB127))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34823,plain,
% 74.35/47.19 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB127) | v183(constB127) | (~v197(constB127))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34822, 34821])).
% 74.35/47.19 tff(34824,plain,
% 74.35/47.19 (v228(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34823, 6287, 34802, 34817])).
% 74.35/47.19 tff(34825,plain,
% 74.35/47.19 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB127)) | (~v223(constB127, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB127)) | (~v223(constB127, bitIndex1)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34826,plain,
% 74.35/47.19 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB127)) | (~v223(constB127, bitIndex1)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34827,plain,
% 74.35/47.19 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB127)) | (~v223(constB127, bitIndex1))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34826, 34825])).
% 74.35/47.19 tff(34828,plain,
% 74.35/47.19 (~v223(constB127, bitIndex1)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34827, 6301, 34824])).
% 74.35/47.19 tff(34829,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB127, bitIndex0) | v223(constB127, bitIndex1) | (~v229(constB127)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB127, bitIndex0) | v223(constB127, bitIndex1) | (~v229(constB127)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34830,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB127, bitIndex0) | v223(constB127, bitIndex1) | (~v229(constB127)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34831,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB127, bitIndex0) | v223(constB127, bitIndex1) | (~v229(constB127))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34830, 34829])).
% 74.35/47.19 tff(34832,plain,
% 74.35/47.19 (~v229(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34831, 21059, 34828, 34813])).
% 74.35/47.19 tff(34833,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB127) | (~v225(constB127)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB127) | (~v225(constB127)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34834,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB127) | (~v225(constB127)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34835,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB127) | (~v225(constB127))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34834, 34833])).
% 74.35/47.19 tff(34836,plain,
% 74.35/47.19 (~v225(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34835, 21073, 34832])).
% 74.35/47.19 tff(34837,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB127) | (~v224(constB127)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB127) | (~v224(constB127)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34838,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB127) | (~v224(constB127)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34839,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB127) | (~v224(constB127))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34838, 34837])).
% 74.35/47.19 tff(34840,plain,
% 74.35/47.19 (~v224(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34839, 21084, 34836])).
% 74.35/47.19 tff(34841,plain,
% 74.35/47.19 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB127)) | v223(constB127, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB127)) | v223(constB127, bitIndex1))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34842,plain,
% 74.35/47.19 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB127)) | v223(constB127, bitIndex1))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34843,plain,
% 74.35/47.19 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB127)) | v223(constB127, bitIndex1)),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34842, 34841])).
% 74.35/47.19 tff(34844,plain,
% 74.35/47.19 (~v222(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34843, 6315, 34828])).
% 74.35/47.19 tff(34845,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB127) | v224(constB127) | (~v236(constB127)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB127) | v224(constB127) | (~v236(constB127)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34846,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB127) | v224(constB127) | (~v236(constB127)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34847,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB127) | v224(constB127) | (~v236(constB127))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34846, 34845])).
% 74.35/47.19 tff(34848,plain,
% 74.35/47.19 (v224(constB127) | (~v236(constB127))),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34847, 6385, 34844])).
% 74.35/47.19 tff(34849,plain,
% 74.35/47.19 (~v236(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34848, 34840])).
% 74.35/47.19 tff(34850,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB127) | (~v232(constB127)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB127) | (~v232(constB127)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34851,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB127) | (~v232(constB127)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34852,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB127) | (~v232(constB127))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34851, 34850])).
% 74.35/47.19 tff(34853,plain,
% 74.35/47.19 (~v232(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34852, 6396, 34849])).
% 74.35/47.19 tff(34854,plain,
% 74.35/47.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB127)) | (~v88(constB127, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB127)) | (~v88(constB127, bitIndex1)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34855,plain,
% 74.35/47.19 (((~v88(constB127, bitIndex1)) | (~v140(constB127))) <=> ((~v140(constB127)) | (~v88(constB127, bitIndex1)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34856,plain,
% 74.35/47.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB127, bitIndex1)) | (~v140(constB127)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB127)) | (~v88(constB127, bitIndex1))))),
% 74.35/47.19 inference(monotonicity,[status(thm)],[34855])).
% 74.35/47.19 tff(34857,plain,
% 74.35/47.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB127, bitIndex1)) | (~v140(constB127)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB127)) | (~v88(constB127, bitIndex1)))),
% 74.35/47.19 inference(transitivity,[status(thm)],[34856, 34854])).
% 74.35/47.19 tff(34858,plain,
% 74.35/47.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB127, bitIndex1)) | (~v140(constB127)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34859,plain,
% 74.35/47.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB127)) | (~v88(constB127, bitIndex1))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34858, 34857])).
% 74.35/47.19 tff(34860,plain,
% 74.35/47.19 (~v140(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34859, 21108, 34778])).
% 74.35/47.19 tff(34861,plain,
% 74.35/47.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB127)) | (~v88(constB127, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB127)) | (~v88(constB127, bitIndex0)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34862,plain,
% 74.35/47.19 (((~v88(constB127, bitIndex0)) | (~v139(constB127))) <=> ((~v139(constB127)) | (~v88(constB127, bitIndex0)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34863,plain,
% 74.35/47.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB127, bitIndex0)) | (~v139(constB127)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB127)) | (~v88(constB127, bitIndex0))))),
% 74.35/47.19 inference(monotonicity,[status(thm)],[34862])).
% 74.35/47.19 tff(34864,plain,
% 74.35/47.19 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB127, bitIndex0)) | (~v139(constB127)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB127)) | (~v88(constB127, bitIndex0)))),
% 74.35/47.19 inference(transitivity,[status(thm)],[34863, 34861])).
% 74.35/47.19 tff(34865,plain,
% 74.35/47.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB127, bitIndex0)) | (~v139(constB127)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34866,plain,
% 74.35/47.19 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB127)) | (~v88(constB127, bitIndex0))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34865, 34864])).
% 74.35/47.19 tff(34867,plain,
% 74.35/47.19 (~v139(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34866, 6085, 34782])).
% 74.35/47.19 tff(34868,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB127)) | v140(constB127) | v139(constB127))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB127)) | v140(constB127) | v139(constB127))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34869,plain,
% 74.35/47.19 ((v140(constB127) | v139(constB127) | (~v148(constB127))) <=> ((~v148(constB127)) | v140(constB127) | v139(constB127))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34870,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB127) | v139(constB127) | (~v148(constB127)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB127)) | v140(constB127) | v139(constB127)))),
% 74.35/47.19 inference(monotonicity,[status(thm)],[34869])).
% 74.35/47.19 tff(34871,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB127) | v139(constB127) | (~v148(constB127)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB127)) | v140(constB127) | v139(constB127))),
% 74.35/47.19 inference(transitivity,[status(thm)],[34870, 34868])).
% 74.35/47.19 tff(34872,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB127) | v139(constB127) | (~v148(constB127)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34873,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB127)) | v140(constB127) | v139(constB127)),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34872, 34871])).
% 74.35/47.19 tff(34874,plain,
% 74.35/47.19 (~v148(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34873, 6410, 34867, 34860])).
% 74.35/47.19 tff(34875,plain,
% 74.35/47.19 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB127) | v148(constB127) | (~v197(constB127)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB127) | v148(constB127) | (~v197(constB127)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34876,plain,
% 74.35/47.19 ((v148(constB127) | (~v197(constB127)) | v252(constB127)) <=> (v252(constB127) | v148(constB127) | (~v197(constB127)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34877,plain,
% 74.35/47.19 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB127) | (~v197(constB127)) | v252(constB127))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB127) | v148(constB127) | (~v197(constB127))))),
% 74.35/47.19 inference(monotonicity,[status(thm)],[34876])).
% 74.35/47.19 tff(34878,plain,
% 74.35/47.19 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB127) | (~v197(constB127)) | v252(constB127))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB127) | v148(constB127) | (~v197(constB127)))),
% 74.35/47.19 inference(transitivity,[status(thm)],[34877, 34875])).
% 74.35/47.19 tff(34879,plain,
% 74.35/47.19 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB127) | (~v197(constB127)) | v252(constB127))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34880,plain,
% 74.35/47.19 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB127) | v148(constB127) | (~v197(constB127))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34879, 34878])).
% 74.35/47.19 tff(34881,plain,
% 74.35/47.19 (v252(constB127) | (~v197(constB127))),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34880, 6427, 34874])).
% 74.35/47.19 tff(34882,plain,
% 74.35/47.19 (v252(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34881, 34802])).
% 74.35/47.19 tff(34883,plain,
% 74.35/47.19 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB127)) | (~v223(constB127, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB127)) | (~v223(constB127, bitIndex3)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34884,plain,
% 74.35/47.19 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB127)) | (~v223(constB127, bitIndex3)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34885,plain,
% 74.35/47.19 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB127)) | (~v223(constB127, bitIndex3))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34884, 34883])).
% 74.35/47.19 tff(34886,plain,
% 74.35/47.19 (~v223(constB127, bitIndex3)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34885, 6441, 34882])).
% 74.35/47.19 tff(34887,plain,
% 74.35/47.19 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB127)) | v223(constB127, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB127)) | v223(constB127, bitIndex3))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34888,plain,
% 74.35/47.19 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB127)) | v223(constB127, bitIndex3))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34889,plain,
% 74.35/47.19 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB127)) | v223(constB127, bitIndex3)),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34888, 34887])).
% 74.35/47.19 tff(34890,plain,
% 74.35/47.19 (~v237(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34889, 6455, 34886])).
% 74.35/47.19 tff(34891,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB127) | (~v248(constB127)) | v232(constB127))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB127) | (~v248(constB127)) | v232(constB127))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34892,plain,
% 74.35/47.19 ((v237(constB127) | v232(constB127) | (~v248(constB127))) <=> (v237(constB127) | (~v248(constB127)) | v232(constB127))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34893,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB127) | v232(constB127) | (~v248(constB127)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB127) | (~v248(constB127)) | v232(constB127)))),
% 74.35/47.19 inference(monotonicity,[status(thm)],[34892])).
% 74.35/47.19 tff(34894,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB127) | v232(constB127) | (~v248(constB127)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB127) | (~v248(constB127)) | v232(constB127))),
% 74.35/47.19 inference(transitivity,[status(thm)],[34893, 34891])).
% 74.35/47.19 tff(34895,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB127) | v232(constB127) | (~v248(constB127)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34896,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB127) | (~v248(constB127)) | v232(constB127)),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34895, 34894])).
% 74.35/47.19 tff(34897,plain,
% 74.35/47.19 ((~v248(constB127)) | v232(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34896, 6469, 34890])).
% 74.35/47.19 tff(34898,plain,
% 74.35/47.19 (~v248(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34897, 34853])).
% 74.35/47.19 tff(34899,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB127) | (~v244(constB127)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB127) | (~v244(constB127)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34900,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB127) | (~v244(constB127)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34901,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB127) | (~v244(constB127))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34900, 34899])).
% 74.35/47.19 tff(34902,plain,
% 74.35/47.19 (~v244(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34901, 6484, 34898])).
% 74.35/47.19 tff(34903,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB127) | (~v216(constB127, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB127) | (~v216(constB127, bitIndex1)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34904,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB127) | (~v216(constB127, bitIndex1)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34905,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB127) | (~v216(constB127, bitIndex1))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34904, 34903])).
% 74.35/47.19 tff(34906,plain,
% 74.35/47.19 (~v216(constB127, bitIndex1)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34905, 6495, 34902])).
% 74.35/47.19 tff(34907,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB127, bitIndex1) | (~v254(constB127)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB127, bitIndex1) | (~v254(constB127)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34908,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB127, bitIndex1) | (~v254(constB127)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34909,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB127, bitIndex1) | (~v254(constB127))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34908, 34907])).
% 74.35/47.19 tff(34910,plain,
% 74.35/47.19 (~v254(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34909, 6506, 34906])).
% 74.35/47.19 tff(34911,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB127) | (~v231(constB127)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB127) | (~v231(constB127)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34912,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB127) | (~v231(constB127)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34913,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB127) | (~v231(constB127))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34912, 34911])).
% 74.35/47.19 tff(34914,plain,
% 74.35/47.19 (~v231(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34913, 6528, 34890])).
% 74.35/47.19 tff(34915,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB127) | (~v221(constB127)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB127) | (~v221(constB127)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34916,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB127) | (~v221(constB127)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34917,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB127) | (~v221(constB127))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34916, 34915])).
% 74.35/47.19 tff(34918,plain,
% 74.35/47.19 (~v221(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34917, 21170, 34844])).
% 74.35/47.19 tff(34919,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB127) | v231(constB127) | (~v243(constB127)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB127) | v231(constB127) | (~v243(constB127)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34920,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB127) | v231(constB127) | (~v243(constB127)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34921,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB127) | v231(constB127) | (~v243(constB127))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34920, 34919])).
% 74.35/47.19 tff(34922,plain,
% 74.35/47.19 (~v243(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34921, 6542, 34918, 34914])).
% 74.35/47.19 tff(34923,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB127) | v255(constB127))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB127) | v255(constB127))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34924,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB127) | v255(constB127))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34925,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB127) | v255(constB127)),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34924, 34923])).
% 74.35/47.19 tff(34926,plain,
% 74.35/47.19 (v255(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34925, 6553, 34922])).
% 74.35/47.19 tff(34927,plain,
% 74.35/47.19 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB127)) | (~v216(constB127, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB127)) | (~v216(constB127, bitIndex2)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34928,plain,
% 74.35/47.19 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB127)) | (~v216(constB127, bitIndex2)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34929,plain,
% 74.35/47.19 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB127)) | (~v216(constB127, bitIndex2))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34928, 34927])).
% 74.35/47.19 tff(34930,plain,
% 74.35/47.19 (~v216(constB127, bitIndex2)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34929, 6564, 34926])).
% 74.35/47.19 tff(34931,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB127, bitIndex2) | v254(constB127) | (~v215(constB127)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB127, bitIndex2) | v254(constB127) | (~v215(constB127)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34932,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB127, bitIndex2) | v254(constB127) | (~v215(constB127)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34933,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB127, bitIndex2) | v254(constB127) | (~v215(constB127))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34932, 34931])).
% 74.35/47.19 tff(34934,plain,
% 74.35/47.19 (v254(constB127) | (~v215(constB127))),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34933, 6578, 34930])).
% 74.35/47.19 tff(34935,plain,
% 74.35/47.19 (~v215(constB127)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34934, 34910])).
% 74.35/47.19 tff(34936,plain,
% 74.35/47.19 ($false),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34935, 34770])).
% 74.35/47.19 tff(34937,plain,(~(constB127 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.35/47.19 tff(34938,assumption,(constB51 = sK0_VarCurr), introduced(assumption)).
% 74.35/47.19 tff(34939,plain,
% 74.35/47.19 (v215(constB51) <=> v215(sK0_VarCurr)),
% 74.35/47.19 inference(monotonicity,[status(thm)],[34938])).
% 74.35/47.19 tff(34940,plain,
% 74.35/47.19 (v215(sK0_VarCurr) <=> v215(constB51)),
% 74.35/47.19 inference(symmetry,[status(thm)],[34939])).
% 74.35/47.19 tff(34941,plain,
% 74.35/47.19 (v215(constB51)),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[28, 34940])).
% 74.35/47.19 tff(34942,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB51, bitIndex2) | (~v88(constB51, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB51, bitIndex2) | (~v88(constB51, bitIndex2)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34943,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB51, bitIndex2) | (~v88(constB51, bitIndex2)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34944,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB51, bitIndex2) | (~v88(constB51, bitIndex2))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34943, 34942])).
% 74.35/47.19 tff(34945,plain,
% 74.35/47.19 (~v88(constB51, bitIndex2)),
% 74.35/47.19 inference(unit_resolution,[status(thm)],[34944, 20913, 8320])).
% 74.35/47.19 tff(34946,plain,
% 74.35/47.19 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB51, bitIndex1) | (~v88(constB51, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB51, bitIndex1) | (~v88(constB51, bitIndex1)))),
% 74.35/47.19 inference(rewrite,[status(thm)],[])).
% 74.35/47.19 tff(34947,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB51, bitIndex1) | (~v88(constB51, bitIndex1)))),
% 74.35/47.19 inference(quant_inst,[status(thm)],[])).
% 74.35/47.19 tff(34948,plain,
% 74.35/47.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB51, bitIndex1) | (~v88(constB51, bitIndex1))),
% 74.35/47.19 inference(modus_ponens,[status(thm)],[34947, 34946])).
% 74.35/47.19 tff(34949,plain,
% 74.35/47.20 (~v88(constB51, bitIndex1)),
% 74.35/47.20 inference(unit_resolution,[status(thm)],[34948, 6234, 8356])).
% 74.35/47.20 tff(34950,plain,
% 74.35/47.20 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB51, bitIndex0)) | v88(constB51, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB51, bitIndex0)) | v88(constB51, bitIndex0))),
% 74.35/47.20 inference(rewrite,[status(thm)],[])).
% 74.35/47.20 tff(34951,plain,
% 74.35/47.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB51, bitIndex0)) | v88(constB51, bitIndex0))),
% 74.35/47.20 inference(quant_inst,[status(thm)],[])).
% 74.35/47.20 tff(34952,plain,
% 74.35/47.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB51, bitIndex0)) | v88(constB51, bitIndex0)),
% 74.35/47.20 inference(modus_ponens,[status(thm)],[34951, 34950])).
% 74.35/47.20 tff(34953,plain,
% 74.35/47.20 (v88(constB51, bitIndex0)),
% 74.35/47.20 inference(unit_resolution,[status(thm)],[34952, 6074, 8389])).
% 74.35/47.20 tff(34954,plain,
% 74.35/47.20 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB51, bitIndex2) | v88(constB51, bitIndex1) | (~v88(constB51, bitIndex0)) | v140(constB51))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB51, bitIndex2) | v88(constB51, bitIndex1) | (~v88(constB51, bitIndex0)) | v140(constB51))),
% 74.35/47.20 inference(rewrite,[status(thm)],[])).
% 74.35/47.20 tff(34955,plain,
% 74.35/47.20 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB51, bitIndex2) | v88(constB51, bitIndex1) | (~v88(constB51, bitIndex0)) | v140(constB51))),
% 74.35/47.20 inference(quant_inst,[status(thm)],[])).
% 74.35/47.20 tff(34956,plain,
% 74.35/47.20 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB51, bitIndex2) | v88(constB51, bitIndex1) | (~v88(constB51, bitIndex0)) | v140(constB51)),
% 74.35/47.20 inference(modus_ponens,[status(thm)],[34955, 34954])).
% 74.35/47.20 tff(34957,plain,
% 74.35/47.20 (v140(constB51)),
% 74.35/47.20 inference(unit_resolution,[status(thm)],[34956, 27506, 34953, 34949, 34945])).
% 74.35/47.20 tff(34958,plain,
% 74.35/47.20 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB51) | (~v140(constB51)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB51) | (~v140(constB51)))),
% 74.35/47.20 inference(rewrite,[status(thm)],[])).
% 74.35/47.20 tff(34959,plain,
% 74.35/47.20 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB51) | (~v140(constB51)))),
% 74.35/47.20 inference(quant_inst,[status(thm)],[])).
% 74.35/47.20 tff(34960,plain,
% 74.35/47.20 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB51) | (~v140(constB51))),
% 74.35/47.20 inference(modus_ponens,[status(thm)],[34959, 34958])).
% 74.35/47.20 tff(34961,plain,
% 74.35/47.20 (v200(constB51)),
% 74.35/47.20 inference(unit_resolution,[status(thm)],[34960, 27520, 34957])).
% 74.35/47.20 tff(34962,plain,
% 74.35/47.20 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB51) | (~v200(constB51)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB51) | (~v200(constB51)))),
% 74.35/47.20 inference(rewrite,[status(thm)],[])).
% 74.35/47.20 tff(34963,plain,
% 74.35/47.20 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB51) | (~v200(constB51)))),
% 74.35/47.20 inference(quant_inst,[status(thm)],[])).
% 74.35/47.20 tff(34964,plain,
% 74.35/47.20 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB51) | (~v200(constB51))),
% 74.35/47.20 inference(modus_ponens,[status(thm)],[34963, 34962])).
% 74.35/47.20 tff(34965,plain,
% 74.35/47.20 (v199(constB51)),
% 74.35/47.20 inference(unit_resolution,[status(thm)],[34964, 27531, 34961])).
% 74.35/47.20 tff(34966,plain,
% 74.35/47.20 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB51) | (~v199(constB51)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB51) | (~v199(constB51)))),
% 74.35/47.20 inference(rewrite,[status(thm)],[])).
% 74.35/47.20 tff(34967,plain,
% 74.35/47.20 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB51) | (~v199(constB51)))),
% 74.35/47.20 inference(quant_inst,[status(thm)],[])).
% 74.35/47.20 tff(34968,plain,
% 74.35/47.20 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB51) | (~v199(constB51))),
% 74.35/47.20 inference(modus_ponens,[status(thm)],[34967, 34966])).
% 74.35/47.20 tff(34969,plain,
% 74.35/47.20 (v198(constB51)),
% 74.35/47.20 inference(unit_resolution,[status(thm)],[34968, 20970, 34965])).
% 74.35/47.20 tff(34970,plain,
% 74.35/47.20 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB51)) | (~v201(constB51)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB51)) | (~v201(constB51)))),
% 74.35/47.20 inference(rewrite,[status(thm)],[])).
% 74.35/47.20 tff(34971,plain,
% 74.35/47.20 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB51)) | (~v201(constB51)))),
% 74.35/47.20 inference(quant_inst,[status(thm)],[])).
% 74.35/47.20 tff(34972,plain,
% 74.35/47.20 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB51)) | (~v201(constB51))),
% 74.35/47.20 inference(modus_ponens,[status(thm)],[34971, 34970])).
% 74.35/47.20 tff(34973,plain,
% 74.35/47.20 (~v201(constB51)),
% 74.35/47.20 inference(unit_resolution,[status(thm)],[34972, 20984, 34969])).
% 74.35/47.20 tff(34974,plain,
% 74.35/47.20 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB51) | (~v198(constB51)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB51) | (~v198(constB51)))),
% 74.35/47.20 inference(rewrite,[status(thm)],[])).
% 74.35/47.20 tff(34975,plain,
% 74.35/47.20 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB51) | (~v198(constB51)))),
% 74.35/47.20 inference(quant_inst,[status(thm)],[])).
% 74.35/47.20 tff(34976,plain,
% 74.35/47.20 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB51) | (~v198(constB51))),
% 74.35/47.20 inference(modus_ponens,[status(thm)],[34975, 34974])).
% 74.35/47.20 tff(34977,plain,
% 74.35/47.20 (v197(constB51)),
% 74.35/47.20 inference(unit_resolution,[status(thm)],[34976, 20995, 34969])).
% 74.35/47.20 tff(34978,plain,
% 74.35/47.20 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB51) | v201(constB51) | (~v197(constB51)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB51) | v201(constB51) | (~v197(constB51)))),
% 74.35/47.20 inference(rewrite,[status(thm)],[])).
% 74.35/47.20 tff(34979,plain,
% 74.35/47.20 (((~v197(constB51)) | v201(constB51) | v227(constB51)) <=> (v227(constB51) | v201(constB51) | (~v197(constB51)))),
% 74.35/47.20 inference(rewrite,[status(thm)],[])).
% 74.35/47.20 tff(34980,plain,
% 74.35/47.20 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB51)) | v201(constB51) | v227(constB51))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB51) | v201(constB51) | (~v197(constB51))))),
% 74.35/47.20 inference(monotonicity,[status(thm)],[34979])).
% 74.35/47.20 tff(34981,plain,
% 74.35/47.20 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB51)) | v201(constB51) | v227(constB51))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB51) | v201(constB51) | (~v197(constB51)))),
% 74.35/47.20 inference(transitivity,[status(thm)],[34980, 34978])).
% 74.35/47.20 tff(34982,plain,
% 74.35/47.20 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB51)) | v201(constB51) | v227(constB51))),
% 74.35/47.20 inference(quant_inst,[status(thm)],[])).
% 74.35/47.20 tff(34983,plain,
% 74.35/47.20 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB51) | v201(constB51) | (~v197(constB51))),
% 74.35/47.20 inference(modus_ponens,[status(thm)],[34982, 34981])).
% 74.35/47.20 tff(34984,plain,
% 74.35/47.20 (v227(constB51)),
% 74.35/47.20 inference(unit_resolution,[status(thm)],[34983, 21009, 34977, 34973])).
% 74.35/47.20 tff(34985,plain,
% 74.35/47.20 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB51)) | (~v223(constB51, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB51)) | (~v223(constB51, bitIndex0)))),
% 74.35/47.20 inference(rewrite,[status(thm)],[])).
% 74.35/47.20 tff(34986,plain,
% 74.35/47.20 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB51)) | (~v223(constB51, bitIndex0)))),
% 74.35/47.20 inference(quant_inst,[status(thm)],[])).
% 74.35/47.20 tff(34987,plain,
% 74.35/47.20 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB51)) | (~v223(constB51, bitIndex0))),
% 74.35/47.20 inference(modus_ponens,[status(thm)],[34986, 34985])).
% 74.35/47.20 tff(34988,plain,
% 74.35/47.20 (~v223(constB51, bitIndex0)),
% 74.35/47.20 inference(unit_resolution,[status(thm)],[34987, 21023, 34984])).
% 74.35/47.20 tff(34989,plain,
% 74.35/47.20 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB51)) | (~v199(constB51)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB51)) | (~v199(constB51)))),
% 74.35/47.20 inference(rewrite,[status(thm)],[])).
% 74.35/47.20 tff(34990,plain,
% 74.35/47.20 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB51)) | (~v199(constB51)))),
% 74.35/47.20 inference(quant_inst,[status(thm)],[])).
% 74.35/47.20 tff(34991,plain,
% 74.35/47.20 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB51)) | (~v199(constB51))),
% 74.35/47.20 inference(modus_ponens,[status(thm)],[34990, 34989])).
% 74.35/47.20 tff(34992,plain,
% 74.35/47.20 (~v183(constB51)),
% 74.35/47.20 inference(unit_resolution,[status(thm)],[34991, 21034, 34965])).
% 74.35/47.20 tff(34993,plain,
% 74.35/47.20 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB51) | v183(constB51) | (~v197(constB51)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB51) | v183(constB51) | (~v197(constB51)))),
% 74.35/47.20 inference(rewrite,[status(thm)],[])).
% 74.35/47.20 tff(34994,plain,
% 74.35/47.20 (((~v197(constB51)) | v183(constB51) | v228(constB51)) <=> (v228(constB51) | v183(constB51) | (~v197(constB51)))),
% 74.35/47.20 inference(rewrite,[status(thm)],[])).
% 74.35/47.20 tff(34995,plain,
% 74.35/47.20 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB51)) | v183(constB51) | v228(constB51))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB51) | v183(constB51) | (~v197(constB51))))),
% 74.35/47.20 inference(monotonicity,[status(thm)],[34994])).
% 74.35/47.20 tff(34996,plain,
% 74.35/47.20 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB51)) | v183(constB51) | v228(constB51))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB51) | v183(constB51) | (~v197(constB51)))),
% 74.35/47.20 inference(transitivity,[status(thm)],[34995, 34993])).
% 74.35/47.20 tff(34997,plain,
% 74.35/47.20 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB51)) | v183(constB51) | v228(constB51))),
% 74.35/47.20 inference(quant_inst,[status(thm)],[])).
% 74.35/47.20 tff(34998,plain,
% 74.35/47.20 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB51) | v183(constB51) | (~v197(constB51))),
% 74.35/47.20 inference(modus_ponens,[status(thm)],[34997, 34996])).
% 74.35/47.20 tff(34999,plain,
% 74.35/47.20 (v228(constB51)),
% 74.35/47.20 inference(unit_resolution,[status(thm)],[34998, 6287, 34977, 34992])).
% 74.35/47.20 tff(35000,plain,
% 74.35/47.20 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB51)) | (~v223(constB51, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB51)) | (~v223(constB51, bitIndex1)))),
% 74.35/47.20 inference(rewrite,[status(thm)],[])).
% 74.35/47.20 tff(35001,plain,
% 74.35/47.20 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB51)) | (~v223(constB51, bitIndex1)))),
% 74.35/47.20 inference(quant_inst,[status(thm)],[])).
% 74.35/47.20 tff(35002,plain,
% 74.35/47.20 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB51)) | (~v223(constB51, bitIndex1))),
% 74.35/47.20 inference(modus_ponens,[status(thm)],[35001, 35000])).
% 74.35/47.20 tff(35003,plain,
% 74.35/47.20 (~v223(constB51, bitIndex1)),
% 74.35/47.20 inference(unit_resolution,[status(thm)],[35002, 6301, 34999])).
% 74.35/47.20 tff(35004,plain,
% 74.35/47.20 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB51, bitIndex0) | v223(constB51, bitIndex1) | (~v229(constB51)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB51, bitIndex0) | v223(constB51, bitIndex1) | (~v229(constB51)))),
% 74.35/47.20 inference(rewrite,[status(thm)],[])).
% 74.35/47.20 tff(35005,plain,
% 74.35/47.20 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB51, bitIndex0) | v223(constB51, bitIndex1) | (~v229(constB51)))),
% 74.35/47.20 inference(quant_inst,[status(thm)],[])).
% 74.35/47.20 tff(35006,plain,
% 74.35/47.20 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB51, bitIndex0) | v223(constB51, bitIndex1) | (~v229(constB51))),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35005, 35004])).
% 74.37/47.20 tff(35007,plain,
% 74.37/47.20 (~v229(constB51)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35006, 21059, 35003, 34988])).
% 74.37/47.20 tff(35008,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB51) | (~v225(constB51)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB51) | (~v225(constB51)))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35009,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB51) | (~v225(constB51)))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35010,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB51) | (~v225(constB51))),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35009, 35008])).
% 74.37/47.20 tff(35011,plain,
% 74.37/47.20 (~v225(constB51)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35010, 21073, 35007])).
% 74.37/47.20 tff(35012,plain,
% 74.37/47.20 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB51)) | (~v200(constB51)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB51)) | (~v200(constB51)))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35013,plain,
% 74.37/47.20 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB51)) | (~v200(constB51)))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35014,plain,
% 74.37/47.20 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB51)) | (~v200(constB51))),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35013, 35012])).
% 74.37/47.20 tff(35015,plain,
% 74.37/47.20 (~v166(constB51)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35014, 27591, 34961])).
% 74.37/47.20 tff(35016,plain,
% 74.37/47.20 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB51) | v166(constB51) | (~v197(constB51)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB51) | v166(constB51) | (~v197(constB51)))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35017,plain,
% 74.37/47.20 (((~v197(constB51)) | v166(constB51) | v241(constB51)) <=> (v241(constB51) | v166(constB51) | (~v197(constB51)))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35018,plain,
% 74.37/47.20 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB51)) | v166(constB51) | v241(constB51))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB51) | v166(constB51) | (~v197(constB51))))),
% 74.37/47.20 inference(monotonicity,[status(thm)],[35017])).
% 74.37/47.20 tff(35019,plain,
% 74.37/47.20 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB51)) | v166(constB51) | v241(constB51))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB51) | v166(constB51) | (~v197(constB51)))),
% 74.37/47.20 inference(transitivity,[status(thm)],[35018, 35016])).
% 74.37/47.20 tff(35020,plain,
% 74.37/47.20 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB51)) | v166(constB51) | v241(constB51))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35021,plain,
% 74.37/47.20 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB51) | v166(constB51) | (~v197(constB51))),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35020, 35019])).
% 74.37/47.20 tff(35022,plain,
% 74.37/47.20 (v241(constB51) | (~v197(constB51))),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35021, 6343, 35015])).
% 74.37/47.20 tff(35023,plain,
% 74.37/47.20 (v241(constB51)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35022, 34977])).
% 74.37/47.20 tff(35024,plain,
% 74.37/47.20 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB51)) | (~v223(constB51, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB51)) | (~v223(constB51, bitIndex2)))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35025,plain,
% 74.37/47.20 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB51)) | (~v223(constB51, bitIndex2)))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35026,plain,
% 74.37/47.20 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB51)) | (~v223(constB51, bitIndex2))),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35025, 35024])).
% 74.37/47.20 tff(35027,plain,
% 74.37/47.20 (~v223(constB51, bitIndex2)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35026, 6357, 35023])).
% 74.37/47.20 tff(35028,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB51, bitIndex2) | (~v242(constB51)) | v225(constB51))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB51, bitIndex2) | (~v242(constB51)) | v225(constB51))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35029,plain,
% 74.37/47.20 ((v225(constB51) | v223(constB51, bitIndex2) | (~v242(constB51))) <=> (v223(constB51, bitIndex2) | (~v242(constB51)) | v225(constB51))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35030,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB51) | v223(constB51, bitIndex2) | (~v242(constB51)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB51, bitIndex2) | (~v242(constB51)) | v225(constB51)))),
% 74.37/47.20 inference(monotonicity,[status(thm)],[35029])).
% 74.37/47.20 tff(35031,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB51) | v223(constB51, bitIndex2) | (~v242(constB51)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB51, bitIndex2) | (~v242(constB51)) | v225(constB51))),
% 74.37/47.20 inference(transitivity,[status(thm)],[35030, 35028])).
% 74.37/47.20 tff(35032,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB51) | v223(constB51, bitIndex2) | (~v242(constB51)))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35033,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB51, bitIndex2) | (~v242(constB51)) | v225(constB51)),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35032, 35031])).
% 74.37/47.20 tff(35034,plain,
% 74.37/47.20 ((~v242(constB51)) | v225(constB51)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35033, 27617, 35027])).
% 74.37/47.20 tff(35035,plain,
% 74.37/47.20 (~v242(constB51)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35034, 35011])).
% 74.37/47.20 tff(35036,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB51) | (~v238(constB51)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB51) | (~v238(constB51)))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35037,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB51) | (~v238(constB51)))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35038,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB51) | (~v238(constB51))),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35037, 35036])).
% 74.37/47.20 tff(35039,plain,
% 74.37/47.20 (~v238(constB51)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35038, 27632, 35035])).
% 74.37/47.20 tff(35040,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB51) | (~v237(constB51)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB51) | (~v237(constB51)))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35041,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB51) | (~v237(constB51)))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35042,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB51) | (~v237(constB51))),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35041, 35040])).
% 74.37/47.20 tff(35043,plain,
% 74.37/47.20 (~v237(constB51)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35042, 27643, 35039])).
% 74.37/47.20 tff(35044,plain,
% 74.37/47.20 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB51)) | v223(constB51, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB51)) | v223(constB51, bitIndex2))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35045,plain,
% 74.37/47.20 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB51)) | v223(constB51, bitIndex2))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35046,plain,
% 74.37/47.20 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB51)) | v223(constB51, bitIndex2)),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35045, 35044])).
% 74.37/47.20 tff(35047,plain,
% 74.37/47.20 (~v224(constB51)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35046, 6371, 35027])).
% 74.37/47.20 tff(35048,plain,
% 74.37/47.20 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB51)) | v223(constB51, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB51)) | v223(constB51, bitIndex1))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35049,plain,
% 74.37/47.20 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB51)) | v223(constB51, bitIndex1))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35050,plain,
% 74.37/47.20 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB51)) | v223(constB51, bitIndex1)),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35049, 35048])).
% 74.37/47.20 tff(35051,plain,
% 74.37/47.20 (~v222(constB51)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35050, 6315, 35003])).
% 74.37/47.20 tff(35052,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB51) | v224(constB51) | (~v236(constB51)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB51) | v224(constB51) | (~v236(constB51)))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35053,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB51) | v224(constB51) | (~v236(constB51)))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35054,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB51) | v224(constB51) | (~v236(constB51))),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35053, 35052])).
% 74.37/47.20 tff(35055,plain,
% 74.37/47.20 (~v236(constB51)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35054, 6385, 35051, 35047])).
% 74.37/47.20 tff(35056,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB51) | (~v232(constB51)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB51) | (~v232(constB51)))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35057,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB51) | (~v232(constB51)))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35058,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB51) | (~v232(constB51))),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35057, 35056])).
% 74.37/47.20 tff(35059,plain,
% 74.37/47.20 (~v232(constB51)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35058, 6396, 35055])).
% 74.37/47.20 tff(35060,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB51) | (~v248(constB51)) | v232(constB51))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB51) | (~v248(constB51)) | v232(constB51))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35061,plain,
% 74.37/47.20 ((v237(constB51) | v232(constB51) | (~v248(constB51))) <=> (v237(constB51) | (~v248(constB51)) | v232(constB51))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35062,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB51) | v232(constB51) | (~v248(constB51)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB51) | (~v248(constB51)) | v232(constB51)))),
% 74.37/47.20 inference(monotonicity,[status(thm)],[35061])).
% 74.37/47.20 tff(35063,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB51) | v232(constB51) | (~v248(constB51)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB51) | (~v248(constB51)) | v232(constB51))),
% 74.37/47.20 inference(transitivity,[status(thm)],[35062, 35060])).
% 74.37/47.20 tff(35064,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB51) | v232(constB51) | (~v248(constB51)))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35065,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB51) | (~v248(constB51)) | v232(constB51)),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35064, 35063])).
% 74.37/47.20 tff(35066,plain,
% 74.37/47.20 (v237(constB51) | (~v248(constB51))),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35065, 6469, 35059])).
% 74.37/47.20 tff(35067,plain,
% 74.37/47.20 (~v248(constB51)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35066, 35043])).
% 74.37/47.20 tff(35068,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB51) | (~v244(constB51)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB51) | (~v244(constB51)))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35069,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB51) | (~v244(constB51)))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35070,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB51) | (~v244(constB51))),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35069, 35068])).
% 74.37/47.20 tff(35071,plain,
% 74.37/47.20 (~v244(constB51)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35070, 6484, 35067])).
% 74.37/47.20 tff(35072,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB51) | (~v216(constB51, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB51) | (~v216(constB51, bitIndex1)))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35073,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB51) | (~v216(constB51, bitIndex1)))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35074,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB51) | (~v216(constB51, bitIndex1))),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35073, 35072])).
% 74.37/47.20 tff(35075,plain,
% 74.37/47.20 (~v216(constB51, bitIndex1)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35074, 6495, 35071])).
% 74.37/47.20 tff(35076,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB51, bitIndex1) | (~v254(constB51)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB51, bitIndex1) | (~v254(constB51)))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35077,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB51, bitIndex1) | (~v254(constB51)))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35078,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB51, bitIndex1) | (~v254(constB51))),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35077, 35076])).
% 74.37/47.20 tff(35079,plain,
% 74.37/47.20 (~v254(constB51)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35078, 6506, 35075])).
% 74.37/47.20 tff(35080,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB51) | (~v231(constB51)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB51) | (~v231(constB51)))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35081,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB51) | (~v231(constB51)))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35082,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB51) | (~v231(constB51))),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35081, 35080])).
% 74.37/47.20 tff(35083,plain,
% 74.37/47.20 (~v231(constB51)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35082, 27687, 35059])).
% 74.37/47.20 tff(35084,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB51) | (~v221(constB51)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB51) | (~v221(constB51)))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35085,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB51) | (~v221(constB51)))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35086,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB51) | (~v221(constB51))),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35085, 35084])).
% 74.37/47.20 tff(35087,plain,
% 74.37/47.20 (~v221(constB51)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35086, 21170, 35051])).
% 74.37/47.20 tff(35088,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB51) | v231(constB51) | (~v243(constB51)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB51) | v231(constB51) | (~v243(constB51)))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35089,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB51) | v231(constB51) | (~v243(constB51)))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35090,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB51) | v231(constB51) | (~v243(constB51))),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35089, 35088])).
% 74.37/47.20 tff(35091,plain,
% 74.37/47.20 (v231(constB51) | (~v243(constB51))),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35090, 6542, 35087])).
% 74.37/47.20 tff(35092,plain,
% 74.37/47.20 (~v243(constB51)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35091, 35083])).
% 74.37/47.20 tff(35093,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB51) | v255(constB51))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB51) | v255(constB51))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35094,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB51) | v255(constB51))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35095,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB51) | v255(constB51)),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35094, 35093])).
% 74.37/47.20 tff(35096,plain,
% 74.37/47.20 (v255(constB51)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35095, 6553, 35092])).
% 74.37/47.20 tff(35097,plain,
% 74.37/47.20 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB51)) | (~v216(constB51, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB51)) | (~v216(constB51, bitIndex2)))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35098,plain,
% 74.37/47.20 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB51)) | (~v216(constB51, bitIndex2)))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35099,plain,
% 74.37/47.20 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB51)) | (~v216(constB51, bitIndex2))),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35098, 35097])).
% 74.37/47.20 tff(35100,plain,
% 74.37/47.20 (~v216(constB51, bitIndex2)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35099, 6564, 35096])).
% 74.37/47.20 tff(35101,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB51) | v216(constB51, bitIndex2) | (~v215(constB51)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB51) | v216(constB51, bitIndex2) | (~v215(constB51)))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35102,plain,
% 74.37/47.20 ((v216(constB51, bitIndex2) | v254(constB51) | (~v215(constB51))) <=> (v254(constB51) | v216(constB51, bitIndex2) | (~v215(constB51)))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35103,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB51, bitIndex2) | v254(constB51) | (~v215(constB51)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB51) | v216(constB51, bitIndex2) | (~v215(constB51))))),
% 74.37/47.20 inference(monotonicity,[status(thm)],[35102])).
% 74.37/47.20 tff(35104,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB51, bitIndex2) | v254(constB51) | (~v215(constB51)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB51) | v216(constB51, bitIndex2) | (~v215(constB51)))),
% 74.37/47.20 inference(transitivity,[status(thm)],[35103, 35101])).
% 74.37/47.20 tff(35105,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB51, bitIndex2) | v254(constB51) | (~v215(constB51)))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35106,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB51) | v216(constB51, bitIndex2) | (~v215(constB51))),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35105, 35104])).
% 74.37/47.20 tff(35107,plain,
% 74.37/47.20 (v254(constB51) | (~v215(constB51))),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35106, 6578, 35100])).
% 74.37/47.20 tff(35108,plain,
% 74.37/47.20 (~v215(constB51)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35107, 35079])).
% 74.37/47.20 tff(35109,plain,
% 74.37/47.20 ($false),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35108, 34941])).
% 74.37/47.20 tff(35110,plain,(~(constB51 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.37/47.20 tff(35111,assumption,(constB75 = sK0_VarCurr), introduced(assumption)).
% 74.37/47.20 tff(35112,plain,
% 74.37/47.20 (v215(constB75) <=> v215(sK0_VarCurr)),
% 74.37/47.20 inference(monotonicity,[status(thm)],[35111])).
% 74.37/47.20 tff(35113,plain,
% 74.37/47.20 (v215(sK0_VarCurr) <=> v215(constB75)),
% 74.37/47.20 inference(symmetry,[status(thm)],[35112])).
% 74.37/47.20 tff(35114,plain,
% 74.37/47.20 (v215(constB75)),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[28, 35113])).
% 74.37/47.20 tff(35115,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB75, bitIndex2) | (~v88(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB75, bitIndex2) | (~v88(constB75, bitIndex2)))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35116,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB75, bitIndex2) | (~v88(constB75, bitIndex2)))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35117,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB75, bitIndex2) | (~v88(constB75, bitIndex2))),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35116, 35115])).
% 74.37/47.20 tff(35118,plain,
% 74.37/47.20 (~v88(constB75, bitIndex2)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35117, 20913, 12418])).
% 74.37/47.20 tff(35119,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB75, bitIndex1) | (~v88(constB75, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB75, bitIndex1) | (~v88(constB75, bitIndex1)))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35120,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB75, bitIndex1) | (~v88(constB75, bitIndex1)))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35121,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB75, bitIndex1) | (~v88(constB75, bitIndex1))),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35120, 35119])).
% 74.37/47.20 tff(35122,plain,
% 74.37/47.20 (~v88(constB75, bitIndex1)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35121, 6234, 12455])).
% 74.37/47.20 tff(35123,plain,
% 74.37/47.20 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB75, bitIndex0)) | v88(constB75, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB75, bitIndex0)) | v88(constB75, bitIndex0))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35124,plain,
% 74.37/47.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB75, bitIndex0)) | v88(constB75, bitIndex0))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35125,plain,
% 74.37/47.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB75, bitIndex0)) | v88(constB75, bitIndex0)),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35124, 35123])).
% 74.37/47.20 tff(35126,plain,
% 74.37/47.20 (v88(constB75, bitIndex0)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35125, 6074, 12489])).
% 74.37/47.20 tff(35127,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB75, bitIndex0)) | v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | v140(constB75))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB75, bitIndex0)) | v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | v140(constB75))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35128,plain,
% 74.37/47.20 ((v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | (~v88(constB75, bitIndex0)) | v140(constB75)) <=> ((~v88(constB75, bitIndex0)) | v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | v140(constB75))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35129,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | (~v88(constB75, bitIndex0)) | v140(constB75))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB75, bitIndex0)) | v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | v140(constB75)))),
% 74.37/47.20 inference(monotonicity,[status(thm)],[35128])).
% 74.37/47.20 tff(35130,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | (~v88(constB75, bitIndex0)) | v140(constB75))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB75, bitIndex0)) | v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | v140(constB75))),
% 74.37/47.20 inference(transitivity,[status(thm)],[35129, 35127])).
% 74.37/47.20 tff(35131,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | (~v88(constB75, bitIndex0)) | v140(constB75))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35132,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB75, bitIndex0)) | v88(constB75, bitIndex2) | v88(constB75, bitIndex1) | v140(constB75)),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35131, 35130])).
% 74.37/47.20 tff(35133,plain,
% 74.37/47.20 (v140(constB75)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35132, 27506, 35126, 35122, 35118])).
% 74.37/47.20 tff(35134,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB75) | (~v140(constB75)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB75) | (~v140(constB75)))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35135,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB75) | (~v140(constB75)))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35136,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB75) | (~v140(constB75))),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35135, 35134])).
% 74.37/47.20 tff(35137,plain,
% 74.37/47.20 (v200(constB75)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35136, 27520, 35133])).
% 74.37/47.20 tff(35138,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB75) | (~v200(constB75)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB75) | (~v200(constB75)))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35139,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB75) | (~v200(constB75)))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35140,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB75) | (~v200(constB75))),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35139, 35138])).
% 74.37/47.20 tff(35141,plain,
% 74.37/47.20 (v199(constB75)),
% 74.37/47.20 inference(unit_resolution,[status(thm)],[35140, 27531, 35137])).
% 74.37/47.20 tff(35142,plain,
% 74.37/47.20 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB75) | (~v199(constB75)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB75) | (~v199(constB75)))),
% 74.37/47.20 inference(rewrite,[status(thm)],[])).
% 74.37/47.20 tff(35143,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB75) | (~v199(constB75)))),
% 74.37/47.20 inference(quant_inst,[status(thm)],[])).
% 74.37/47.20 tff(35144,plain,
% 74.37/47.20 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB75) | (~v199(constB75))),
% 74.37/47.20 inference(modus_ponens,[status(thm)],[35143, 35142])).
% 74.37/47.21 tff(35145,plain,
% 74.37/47.21 (v198(constB75)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35144, 20970, 35141])).
% 74.37/47.21 tff(35146,plain,
% 74.37/47.21 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB75)) | (~v201(constB75)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB75)) | (~v201(constB75)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35147,plain,
% 74.37/47.21 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB75)) | (~v201(constB75)))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35148,plain,
% 74.37/47.21 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB75)) | (~v201(constB75))),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35147, 35146])).
% 74.37/47.21 tff(35149,plain,
% 74.37/47.21 (~v201(constB75)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35148, 20984, 35145])).
% 74.37/47.21 tff(35150,plain,
% 74.37/47.21 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB75) | (~v198(constB75)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB75) | (~v198(constB75)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35151,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB75) | (~v198(constB75)))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35152,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB75) | (~v198(constB75))),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35151, 35150])).
% 74.37/47.21 tff(35153,plain,
% 74.37/47.21 (v197(constB75)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35152, 20995, 35145])).
% 74.37/47.21 tff(35154,plain,
% 74.37/47.21 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB75) | (~v197(constB75)) | v201(constB75))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB75) | (~v197(constB75)) | v201(constB75))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35155,plain,
% 74.37/47.21 (((~v197(constB75)) | v201(constB75) | v227(constB75)) <=> (v227(constB75) | (~v197(constB75)) | v201(constB75))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35156,plain,
% 74.37/47.21 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB75)) | v201(constB75) | v227(constB75))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB75) | (~v197(constB75)) | v201(constB75)))),
% 74.37/47.21 inference(monotonicity,[status(thm)],[35155])).
% 74.37/47.21 tff(35157,plain,
% 74.37/47.21 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB75)) | v201(constB75) | v227(constB75))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB75) | (~v197(constB75)) | v201(constB75))),
% 74.37/47.21 inference(transitivity,[status(thm)],[35156, 35154])).
% 74.37/47.21 tff(35158,plain,
% 74.37/47.21 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB75)) | v201(constB75) | v227(constB75))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35159,plain,
% 74.37/47.21 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB75) | (~v197(constB75)) | v201(constB75)),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35158, 35157])).
% 74.37/47.21 tff(35160,plain,
% 74.37/47.21 (v227(constB75)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35159, 21009, 35153, 35149])).
% 74.37/47.21 tff(35161,plain,
% 74.37/47.21 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB75)) | (~v223(constB75, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB75)) | (~v223(constB75, bitIndex0)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35162,plain,
% 74.37/47.21 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB75)) | (~v223(constB75, bitIndex0)))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35163,plain,
% 74.37/47.21 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB75)) | (~v223(constB75, bitIndex0))),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35162, 35161])).
% 74.37/47.21 tff(35164,plain,
% 74.37/47.21 (~v223(constB75, bitIndex0)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35163, 21023, 35160])).
% 74.37/47.21 tff(35165,plain,
% 74.37/47.21 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB75)) | (~v199(constB75)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB75)) | (~v199(constB75)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35166,plain,
% 74.37/47.21 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB75)) | (~v199(constB75)))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35167,plain,
% 74.37/47.21 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB75)) | (~v199(constB75))),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35166, 35165])).
% 74.37/47.21 tff(35168,plain,
% 74.37/47.21 (~v183(constB75)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35167, 21034, 35141])).
% 74.37/47.21 tff(35169,plain,
% 74.37/47.21 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB75) | v183(constB75) | (~v197(constB75)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB75) | v183(constB75) | (~v197(constB75)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35170,plain,
% 74.37/47.21 (((~v197(constB75)) | v183(constB75) | v228(constB75)) <=> (v228(constB75) | v183(constB75) | (~v197(constB75)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35171,plain,
% 74.37/47.21 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB75)) | v183(constB75) | v228(constB75))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB75) | v183(constB75) | (~v197(constB75))))),
% 74.37/47.21 inference(monotonicity,[status(thm)],[35170])).
% 74.37/47.21 tff(35172,plain,
% 74.37/47.21 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB75)) | v183(constB75) | v228(constB75))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB75) | v183(constB75) | (~v197(constB75)))),
% 74.37/47.21 inference(transitivity,[status(thm)],[35171, 35169])).
% 74.37/47.21 tff(35173,plain,
% 74.37/47.21 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB75)) | v183(constB75) | v228(constB75))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35174,plain,
% 74.37/47.21 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB75) | v183(constB75) | (~v197(constB75))),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35173, 35172])).
% 74.37/47.21 tff(35175,plain,
% 74.37/47.21 (v228(constB75)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35174, 6287, 35153, 35168])).
% 74.37/47.21 tff(35176,plain,
% 74.37/47.21 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB75)) | (~v223(constB75, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB75)) | (~v223(constB75, bitIndex1)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35177,plain,
% 74.37/47.21 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB75)) | (~v223(constB75, bitIndex1)))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35178,plain,
% 74.37/47.21 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB75)) | (~v223(constB75, bitIndex1))),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35177, 35176])).
% 74.37/47.21 tff(35179,plain,
% 74.37/47.21 (~v223(constB75, bitIndex1)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35178, 6301, 35175])).
% 74.37/47.21 tff(35180,plain,
% 74.37/47.21 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB75, bitIndex1) | v223(constB75, bitIndex0) | (~v229(constB75)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB75, bitIndex1) | v223(constB75, bitIndex0) | (~v229(constB75)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35181,plain,
% 74.37/47.21 ((v223(constB75, bitIndex0) | v223(constB75, bitIndex1) | (~v229(constB75))) <=> (v223(constB75, bitIndex1) | v223(constB75, bitIndex0) | (~v229(constB75)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35182,plain,
% 74.37/47.21 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB75, bitIndex0) | v223(constB75, bitIndex1) | (~v229(constB75)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB75, bitIndex1) | v223(constB75, bitIndex0) | (~v229(constB75))))),
% 74.37/47.21 inference(monotonicity,[status(thm)],[35181])).
% 74.37/47.21 tff(35183,plain,
% 74.37/47.21 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB75, bitIndex0) | v223(constB75, bitIndex1) | (~v229(constB75)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB75, bitIndex1) | v223(constB75, bitIndex0) | (~v229(constB75)))),
% 74.37/47.21 inference(transitivity,[status(thm)],[35182, 35180])).
% 74.37/47.21 tff(35184,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB75, bitIndex0) | v223(constB75, bitIndex1) | (~v229(constB75)))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35185,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB75, bitIndex1) | v223(constB75, bitIndex0) | (~v229(constB75))),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35184, 35183])).
% 74.37/47.21 tff(35186,plain,
% 74.37/47.21 (~v229(constB75)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35185, 21059, 35179, 35164])).
% 74.37/47.21 tff(35187,plain,
% 74.37/47.21 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB75) | (~v225(constB75)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB75) | (~v225(constB75)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35188,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB75) | (~v225(constB75)))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35189,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB75) | (~v225(constB75))),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35188, 35187])).
% 74.37/47.21 tff(35190,plain,
% 74.37/47.21 (~v225(constB75)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35189, 21073, 35186])).
% 74.37/47.21 tff(35191,plain,
% 74.37/47.21 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB75)) | (~v200(constB75)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB75)) | (~v200(constB75)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35192,plain,
% 74.37/47.21 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB75)) | (~v200(constB75)))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35193,plain,
% 74.37/47.21 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB75)) | (~v200(constB75))),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35192, 35191])).
% 74.37/47.21 tff(35194,plain,
% 74.37/47.21 (~v166(constB75)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35193, 27591, 35137])).
% 74.37/47.21 tff(35195,plain,
% 74.37/47.21 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB75) | v166(constB75) | (~v197(constB75)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB75) | v166(constB75) | (~v197(constB75)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35196,plain,
% 74.37/47.21 (((~v197(constB75)) | v166(constB75) | v241(constB75)) <=> (v241(constB75) | v166(constB75) | (~v197(constB75)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35197,plain,
% 74.37/47.21 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB75)) | v166(constB75) | v241(constB75))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB75) | v166(constB75) | (~v197(constB75))))),
% 74.37/47.21 inference(monotonicity,[status(thm)],[35196])).
% 74.37/47.21 tff(35198,plain,
% 74.37/47.21 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB75)) | v166(constB75) | v241(constB75))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB75) | v166(constB75) | (~v197(constB75)))),
% 74.37/47.21 inference(transitivity,[status(thm)],[35197, 35195])).
% 74.37/47.21 tff(35199,plain,
% 74.37/47.21 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB75)) | v166(constB75) | v241(constB75))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35200,plain,
% 74.37/47.21 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB75) | v166(constB75) | (~v197(constB75))),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35199, 35198])).
% 74.37/47.21 tff(35201,plain,
% 74.37/47.21 (v241(constB75) | (~v197(constB75))),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35200, 6343, 35194])).
% 74.37/47.21 tff(35202,plain,
% 74.37/47.21 (v241(constB75)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35201, 35153])).
% 74.37/47.21 tff(35203,plain,
% 74.37/47.21 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB75)) | (~v223(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB75)) | (~v223(constB75, bitIndex2)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35204,plain,
% 74.37/47.21 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB75)) | (~v223(constB75, bitIndex2)))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35205,plain,
% 74.37/47.21 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB75)) | (~v223(constB75, bitIndex2))),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35204, 35203])).
% 74.37/47.21 tff(35206,plain,
% 74.37/47.21 (~v223(constB75, bitIndex2)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35205, 6357, 35202])).
% 74.37/47.21 tff(35207,plain,
% 74.37/47.21 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB75, bitIndex2) | v225(constB75) | (~v242(constB75)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB75, bitIndex2) | v225(constB75) | (~v242(constB75)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35208,plain,
% 74.37/47.21 ((v225(constB75) | v223(constB75, bitIndex2) | (~v242(constB75))) <=> (v223(constB75, bitIndex2) | v225(constB75) | (~v242(constB75)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35209,plain,
% 74.37/47.21 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB75) | v223(constB75, bitIndex2) | (~v242(constB75)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB75, bitIndex2) | v225(constB75) | (~v242(constB75))))),
% 74.37/47.21 inference(monotonicity,[status(thm)],[35208])).
% 74.37/47.21 tff(35210,plain,
% 74.37/47.21 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB75) | v223(constB75, bitIndex2) | (~v242(constB75)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB75, bitIndex2) | v225(constB75) | (~v242(constB75)))),
% 74.37/47.21 inference(transitivity,[status(thm)],[35209, 35207])).
% 74.37/47.21 tff(35211,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB75) | v223(constB75, bitIndex2) | (~v242(constB75)))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35212,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB75, bitIndex2) | v225(constB75) | (~v242(constB75))),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35211, 35210])).
% 74.37/47.21 tff(35213,plain,
% 74.37/47.21 (v225(constB75) | (~v242(constB75))),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35212, 27617, 35206])).
% 74.37/47.21 tff(35214,plain,
% 74.37/47.21 (~v242(constB75)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35213, 35190])).
% 74.37/47.21 tff(35215,plain,
% 74.37/47.21 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB75) | (~v238(constB75)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB75) | (~v238(constB75)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35216,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB75) | (~v238(constB75)))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35217,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB75) | (~v238(constB75))),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35216, 35215])).
% 74.37/47.21 tff(35218,plain,
% 74.37/47.21 (~v238(constB75)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35217, 27632, 35214])).
% 74.37/47.21 tff(35219,plain,
% 74.37/47.21 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB75) | (~v237(constB75)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB75) | (~v237(constB75)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35220,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB75) | (~v237(constB75)))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35221,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB75) | (~v237(constB75))),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35220, 35219])).
% 74.37/47.21 tff(35222,plain,
% 74.37/47.21 (~v237(constB75)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35221, 27643, 35218])).
% 74.37/47.21 tff(35223,plain,
% 74.37/47.21 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB75)) | v223(constB75, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB75)) | v223(constB75, bitIndex2))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35224,plain,
% 74.37/47.21 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB75)) | v223(constB75, bitIndex2))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35225,plain,
% 74.37/47.21 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB75)) | v223(constB75, bitIndex2)),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35224, 35223])).
% 74.37/47.21 tff(35226,plain,
% 74.37/47.21 (~v224(constB75)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35225, 6371, 35206])).
% 74.37/47.21 tff(35227,plain,
% 74.37/47.21 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB75)) | v223(constB75, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB75)) | v223(constB75, bitIndex1))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35228,plain,
% 74.37/47.21 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB75)) | v223(constB75, bitIndex1))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35229,plain,
% 74.37/47.21 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB75)) | v223(constB75, bitIndex1)),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35228, 35227])).
% 74.37/47.21 tff(35230,plain,
% 74.37/47.21 (~v222(constB75)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35229, 6315, 35179])).
% 74.37/47.21 tff(35231,plain,
% 74.37/47.21 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB75) | v224(constB75) | (~v236(constB75)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB75) | v224(constB75) | (~v236(constB75)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35232,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB75) | v224(constB75) | (~v236(constB75)))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35233,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB75) | v224(constB75) | (~v236(constB75))),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35232, 35231])).
% 74.37/47.21 tff(35234,plain,
% 74.37/47.21 (~v236(constB75)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35233, 6385, 35230, 35226])).
% 74.37/47.21 tff(35235,plain,
% 74.37/47.21 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB75) | (~v232(constB75)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB75) | (~v232(constB75)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35236,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB75) | (~v232(constB75)))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35237,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB75) | (~v232(constB75))),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35236, 35235])).
% 74.37/47.21 tff(35238,plain,
% 74.37/47.21 (~v232(constB75)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35237, 6396, 35234])).
% 74.37/47.21 tff(35239,plain,
% 74.37/47.21 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB75) | v232(constB75) | (~v248(constB75)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB75) | v232(constB75) | (~v248(constB75)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35240,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB75) | v232(constB75) | (~v248(constB75)))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35241,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB75) | v232(constB75) | (~v248(constB75))),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35240, 35239])).
% 74.37/47.21 tff(35242,plain,
% 74.37/47.21 (v237(constB75) | (~v248(constB75))),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35241, 6469, 35238])).
% 74.37/47.21 tff(35243,plain,
% 74.37/47.21 (~v248(constB75)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35242, 35222])).
% 74.37/47.21 tff(35244,plain,
% 74.37/47.21 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB75) | (~v244(constB75)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB75) | (~v244(constB75)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35245,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB75) | (~v244(constB75)))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35246,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB75) | (~v244(constB75))),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35245, 35244])).
% 74.37/47.21 tff(35247,plain,
% 74.37/47.21 (~v244(constB75)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35246, 6484, 35243])).
% 74.37/47.21 tff(35248,plain,
% 74.37/47.21 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB75) | (~v216(constB75, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB75) | (~v216(constB75, bitIndex1)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35249,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB75) | (~v216(constB75, bitIndex1)))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35250,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB75) | (~v216(constB75, bitIndex1))),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35249, 35248])).
% 74.37/47.21 tff(35251,plain,
% 74.37/47.21 (~v216(constB75, bitIndex1)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35250, 6495, 35247])).
% 74.37/47.21 tff(35252,plain,
% 74.37/47.21 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB75, bitIndex1) | (~v254(constB75)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB75, bitIndex1) | (~v254(constB75)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35253,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB75, bitIndex1) | (~v254(constB75)))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35254,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB75, bitIndex1) | (~v254(constB75))),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35253, 35252])).
% 74.37/47.21 tff(35255,plain,
% 74.37/47.21 (~v254(constB75)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35254, 6506, 35251])).
% 74.37/47.21 tff(35256,plain,
% 74.37/47.21 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB75) | (~v231(constB75)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB75) | (~v231(constB75)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35257,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB75) | (~v231(constB75)))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35258,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB75) | (~v231(constB75))),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35257, 35256])).
% 74.37/47.21 tff(35259,plain,
% 74.37/47.21 (~v231(constB75)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35258, 27687, 35238])).
% 74.37/47.21 tff(35260,plain,
% 74.37/47.21 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB75) | (~v221(constB75)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB75) | (~v221(constB75)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35261,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB75) | (~v221(constB75)))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35262,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB75) | (~v221(constB75))),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35261, 35260])).
% 74.37/47.21 tff(35263,plain,
% 74.37/47.21 (~v221(constB75)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35262, 21170, 35230])).
% 74.37/47.21 tff(35264,plain,
% 74.37/47.21 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB75) | v231(constB75) | (~v243(constB75)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB75) | v231(constB75) | (~v243(constB75)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35265,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB75) | v231(constB75) | (~v243(constB75)))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35266,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB75) | v231(constB75) | (~v243(constB75))),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35265, 35264])).
% 74.37/47.21 tff(35267,plain,
% 74.37/47.21 (v231(constB75) | (~v243(constB75))),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35266, 6542, 35263])).
% 74.37/47.21 tff(35268,plain,
% 74.37/47.21 (~v243(constB75)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35267, 35259])).
% 74.37/47.21 tff(35269,plain,
% 74.37/47.21 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB75) | v255(constB75))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB75) | v255(constB75))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35270,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB75) | v255(constB75))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35271,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB75) | v255(constB75)),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35270, 35269])).
% 74.37/47.21 tff(35272,plain,
% 74.37/47.21 (v255(constB75)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35271, 6553, 35268])).
% 74.37/47.21 tff(35273,plain,
% 74.37/47.21 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB75)) | (~v216(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB75)) | (~v216(constB75, bitIndex2)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35274,plain,
% 74.37/47.21 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB75)) | (~v216(constB75, bitIndex2)))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35275,plain,
% 74.37/47.21 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB75)) | (~v216(constB75, bitIndex2))),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35274, 35273])).
% 74.37/47.21 tff(35276,plain,
% 74.37/47.21 (~v216(constB75, bitIndex2)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35275, 6564, 35272])).
% 74.37/47.21 tff(35277,plain,
% 74.37/47.21 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB75, bitIndex2) | v254(constB75) | (~v215(constB75)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB75, bitIndex2) | v254(constB75) | (~v215(constB75)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35278,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB75, bitIndex2) | v254(constB75) | (~v215(constB75)))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35279,plain,
% 74.37/47.21 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB75, bitIndex2) | v254(constB75) | (~v215(constB75))),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35278, 35277])).
% 74.37/47.21 tff(35280,plain,
% 74.37/47.21 (v254(constB75) | (~v215(constB75))),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35279, 6578, 35276])).
% 74.37/47.21 tff(35281,plain,
% 74.37/47.21 (~v215(constB75)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35280, 35255])).
% 74.37/47.21 tff(35282,plain,
% 74.37/47.21 ($false),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35281, 35114])).
% 74.37/47.21 tff(35283,plain,(~(constB75 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 74.37/47.21 tff(35284,assumption,(constB59 = sK0_VarCurr), introduced(assumption)).
% 74.37/47.21 tff(35285,plain,
% 74.37/47.21 (v215(constB59) <=> v215(sK0_VarCurr)),
% 74.37/47.21 inference(monotonicity,[status(thm)],[35284])).
% 74.37/47.21 tff(35286,plain,
% 74.37/47.21 (v215(sK0_VarCurr) <=> v215(constB59)),
% 74.37/47.21 inference(symmetry,[status(thm)],[35285])).
% 74.37/47.21 tff(35287,plain,
% 74.37/47.21 (v215(constB59)),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[28, 35286])).
% 74.37/47.21 tff(35288,plain,
% 74.37/47.21 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB59, bitIndex2)) | v88(constB59, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB59, bitIndex2)) | v88(constB59, bitIndex2))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35289,plain,
% 74.37/47.21 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB59, bitIndex2)) | v88(constB59, bitIndex2))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35290,plain,
% 74.37/47.21 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB59, bitIndex2)) | v88(constB59, bitIndex2)),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35289, 35288])).
% 74.37/47.21 tff(35291,plain,
% 74.37/47.21 (v88(constB59, bitIndex2)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35290, 6015, 9419])).
% 74.37/47.21 tff(35292,plain,
% 74.37/47.21 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB59, bitIndex2)) | (~v140(constB59)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB59, bitIndex2)) | (~v140(constB59)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35293,plain,
% 74.37/47.21 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | ((~v88(constB59, bitIndex2)) | (~v140(constB59)))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35294,plain,
% 74.37/47.21 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v140(VarCurr)))) | (~v88(constB59, bitIndex2)) | (~v140(constB59))),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35293, 35292])).
% 74.37/47.21 tff(35295,plain,
% 74.37/47.21 (~v140(constB59)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35294, 6026, 35291])).
% 74.37/47.21 tff(35296,plain,
% 74.37/47.21 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB59, bitIndex0)) | v88(constB59, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB59, bitIndex0)) | v88(constB59, bitIndex0))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35297,plain,
% 74.37/47.21 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB59, bitIndex0)) | v88(constB59, bitIndex0))),
% 74.37/47.21 inference(quant_inst,[status(thm)],[])).
% 74.37/47.21 tff(35298,plain,
% 74.37/47.21 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB59, bitIndex0)) | v88(constB59, bitIndex0)),
% 74.37/47.21 inference(modus_ponens,[status(thm)],[35297, 35296])).
% 74.37/47.21 tff(35299,plain,
% 74.37/47.21 (v88(constB59, bitIndex0)),
% 74.37/47.21 inference(unit_resolution,[status(thm)],[35298, 6074, 9364])).
% 74.37/47.21 tff(35300,plain,
% 74.37/47.21 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB59)) | (~v88(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB59)) | (~v88(constB59, bitIndex0)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35301,plain,
% 74.37/47.21 (((~v88(constB59, bitIndex0)) | (~v139(constB59))) <=> ((~v139(constB59)) | (~v88(constB59, bitIndex0)))),
% 74.37/47.21 inference(rewrite,[status(thm)],[])).
% 74.37/47.21 tff(35302,plain,
% 74.37/47.21 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB59, bitIndex0)) | (~v139(constB59)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB59)) | (~v88(constB59, bitIndex0))))),
% 74.37/47.21 inference(monotonicity,[status(thm)],[35301])).
% 74.37/47.21 tff(35303,plain,
% 74.37/47.21 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB59, bitIndex0)) | (~v139(constB59)))) <